id
stringlengths 6
117
| description
stringlengths 29
13k
| code
stringlengths 9
465k
| language
class label 4
classes | test_samples
sequence | source
class label 5
classes |
|---|---|---|---|---|---|
p01094 Look for the Winner!_37800 | Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens have strong desire to know the winner as early as possible during vote counting.
The election candidate receiving the most votes shall be the next chairperson. Suppose for instance that we have three candidates A, B, and C and ten votes. Suppose also that we have already counted six of the ten votes and the vote counts of A, B, and C are four, one, and one, respectively. At this moment, every candidate has a chance to receive four more votes and so everyone can still be the winner. However, if the next vote counted is cast for A, A is ensured to be the winner since A already has five votes and B or C can have at most four votes at the end. In this example, therefore, the TKB citizens can know the winner just when the seventh vote is counted.
Your mission is to write a program that receives every vote counted, one by one, identifies the winner, and determines when the winner gets ensured.
Input
The input consists of at most 1500 datasets, each consisting of two lines in the following format.
n
c1 c2 … cn
n in the first line represents the number of votes, and is a positive integer no greater than 100. The second line represents the n votes, separated by a space. Each ci (1 ≤ i ≤ n) is a single uppercase letter, i.e. one of 'A' through 'Z'. This represents the election candidate for which the i-th vote was cast. Counting shall be done in the given order from c1 to cn.
You should assume that at least two stand as candidates even when all the votes are cast for one candidate.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, unless the election ends in a tie, output a single line containing an uppercase letter c and an integer d separated by a space: c should represent the election winner and d should represent after counting how many votes the winner is identified. Otherwise, that is, if the election ends in a tie, output a single line containing `TIE'.
Sample Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output for the Sample Input
A 1
TIE
TIE
K 4
X 5
A 7
U 8
Example
Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output
A 1
TIE
TIE
K 4
X 5
A 7
U 8 | from collections import Counter
while 1:
N=int(input())
if N==0:break
C=raw_input().split()
for i in range(N):
c=Counter(C[:i+1]).most_common()+[('',0)]
if c[0][1]>c[1][1]+N-i-1:
print c[0][0],i+1
break
else:print("TIE") | 1Python2
| {
"input": [
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n0\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W V W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C B B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C C\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A C C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C D B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nC A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C A D C B\n10\nW U T U U V V W W W\n0",
"1\nB\n4\nA A C C\n5\nL N N L O\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C @ D C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B C D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nA A B C\n5\nL M L L O\n1\nJ K K K I K\n0\nX Y Y Y Z X\n13\nB B A B A C A D C B\n1\nV V U U U W W W V V\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K L K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z Y\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B A\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n0\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K L K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A C A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A D A C C B\n10\nV U U U U V V W X W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M O L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A B A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B A\n0\nL M N L N\n6\nK K K K K K\n2\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A C A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nB\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L O\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL N N L N\n1\nK K K K J K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n4\nV V U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nW X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C B B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL O N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M M O\n1\nJ K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n1\nV V U U U V V W V V\n0",
"1\nA\n4\nA A B C\n5\nL M N L O\n1\nJ K K K J K\n0\nX Y Y Y Z X\n8\nB B A B A C A D C B\n1\nV V U U U W V W V V\n0",
"1\nB\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B B D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nB A C B\n5\nL N M M N\n2\nK K K K J K\n0\nX Y V Y Z Y\n4\nB A A B B C B B D B\n10\nV U U T U V X W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K J K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV V U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U V U V V W W W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nW X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U V U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X W Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U W V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n4\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L M\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C B C C B\n10\nW U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M K N\n2\nK K K K K K\n0\nX X X Y Z X\n12\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U T U U V U W U W\n0"
],
"output": [
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 8",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 4\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 1\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 1\n",
"A 1\nTIE\nN 5\nK 4\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 10\n",
"A 1\nA 3\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nJ 1\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 5\nX 4\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nW 10\n",
"A 1\nA 4\nTIE\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 8\n",
"A 1\nA 4\nTIE\nJ 1\n",
"A 1\nA 4\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nA 4\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 10\nU 7\n",
"B 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nTIE\nU 8\n",
"B 1\nTIE\nN 5\nK 4\n",
"B 1\nTIE\nTIE\nK 4\n",
"A 1\nB 4\nM 4\nK 2\n",
"A 1\nA 4\nL 4\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 10\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nA 3\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 5\nY 6\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nTIE\nK 6\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 1\n",
"A 1\nB 4\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nB 4\nTIE\nK 1\n",
"A 1\nTIE\nL 5\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nTIE\nN 5\nK 2\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 8\nU 8\n",
"A 1\nA 4\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nTIE\n",
"A 1\nA 4\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 10\nU 9\n",
"B 1\nTIE\nTIE\nK 2\n",
"A 1\nA 4\nL 5\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 8\n",
"A 1\nTIE\nN 5\nK 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nB 10\nU 8\n",
"A 1\nTIE\nM 4\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 7\n",
"B 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nJ 1\n",
"A 1\nA 4\nL 5\nJ 1\n",
"B 1\nB 4\nM 4\nK 2\n",
"A 1\nB 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 9\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nV 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nV 10\n",
"A 1\nA 3\nTIE\nK 4\nX 6\nA 7\nV 1\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nV 10\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 7\nU 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 4\n",
"A 1\nA 4\nM 5\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nM 5\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 9\n"
]
} | 6AIZU
|
p01094 Look for the Winner!_37801 | Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens have strong desire to know the winner as early as possible during vote counting.
The election candidate receiving the most votes shall be the next chairperson. Suppose for instance that we have three candidates A, B, and C and ten votes. Suppose also that we have already counted six of the ten votes and the vote counts of A, B, and C are four, one, and one, respectively. At this moment, every candidate has a chance to receive four more votes and so everyone can still be the winner. However, if the next vote counted is cast for A, A is ensured to be the winner since A already has five votes and B or C can have at most four votes at the end. In this example, therefore, the TKB citizens can know the winner just when the seventh vote is counted.
Your mission is to write a program that receives every vote counted, one by one, identifies the winner, and determines when the winner gets ensured.
Input
The input consists of at most 1500 datasets, each consisting of two lines in the following format.
n
c1 c2 … cn
n in the first line represents the number of votes, and is a positive integer no greater than 100. The second line represents the n votes, separated by a space. Each ci (1 ≤ i ≤ n) is a single uppercase letter, i.e. one of 'A' through 'Z'. This represents the election candidate for which the i-th vote was cast. Counting shall be done in the given order from c1 to cn.
You should assume that at least two stand as candidates even when all the votes are cast for one candidate.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, unless the election ends in a tie, output a single line containing an uppercase letter c and an integer d separated by a space: c should represent the election winner and d should represent after counting how many votes the winner is identified. Otherwise, that is, if the election ends in a tie, output a single line containing `TIE'.
Sample Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output for the Sample Input
A 1
TIE
TIE
K 4
X 5
A 7
U 8
Example
Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output
A 1
TIE
TIE
K 4
X 5
A 7
U 8 | #include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
typedef long long ll;
int main(){
while(true){
int n,ans,z=0;
vector<int> alp(26,0),A;
char c,winner;
cin>>n;
if(!n) break;
rep(i,n){
cin>>c;
alp[c-'A']++;
A=alp;
sort(A.begin(),A.end(),greater<int>());
if(!z&&A[0]>A[1]+(n-i-1)){
ans=i+1;
rep(j,26) if(alp[j]==A[0]) winner=j+'A';
z=1;
}
}
if(z) cout<<winner<<" "<<ans<<endl;
else cout<<"TIE"<<endl;
}
}
| 2C++
| {
"input": [
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n0\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W V W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C B B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C C\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A C C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C D B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nC A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C A D C B\n10\nW U T U U V V W W W\n0",
"1\nB\n4\nA A C C\n5\nL N N L O\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C @ D C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B C D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nA A B C\n5\nL M L L O\n1\nJ K K K I K\n0\nX Y Y Y Z X\n13\nB B A B A C A D C B\n1\nV V U U U W W W V V\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K L K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z Y\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B A\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n0\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K L K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A C A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A D A C C B\n10\nV U U U U V V W X W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M O L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A B A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B A\n0\nL M N L N\n6\nK K K K K K\n2\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A C A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nB\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L O\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL N N L N\n1\nK K K K J K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n4\nV V U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nW X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C B B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL O N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M M O\n1\nJ K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n1\nV V U U U V V W V V\n0",
"1\nA\n4\nA A B C\n5\nL M N L O\n1\nJ K K K J K\n0\nX Y Y Y Z X\n8\nB B A B A C A D C B\n1\nV V U U U W V W V V\n0",
"1\nB\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B B D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nB A C B\n5\nL N M M N\n2\nK K K K J K\n0\nX Y V Y Z Y\n4\nB A A B B C B B D B\n10\nV U U T U V X W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K J K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV V U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U V U V V W W W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nW X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U V U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X W Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U W V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n4\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L M\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C B C C B\n10\nW U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M K N\n2\nK K K K K K\n0\nX X X Y Z X\n12\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U T U U V U W U W\n0"
],
"output": [
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 8",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 4\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 1\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 1\n",
"A 1\nTIE\nN 5\nK 4\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 10\n",
"A 1\nA 3\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nJ 1\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 5\nX 4\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nW 10\n",
"A 1\nA 4\nTIE\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 8\n",
"A 1\nA 4\nTIE\nJ 1\n",
"A 1\nA 4\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nA 4\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 10\nU 7\n",
"B 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nTIE\nU 8\n",
"B 1\nTIE\nN 5\nK 4\n",
"B 1\nTIE\nTIE\nK 4\n",
"A 1\nB 4\nM 4\nK 2\n",
"A 1\nA 4\nL 4\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 10\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nA 3\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 5\nY 6\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nTIE\nK 6\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 1\n",
"A 1\nB 4\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nB 4\nTIE\nK 1\n",
"A 1\nTIE\nL 5\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nTIE\nN 5\nK 2\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 8\nU 8\n",
"A 1\nA 4\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nTIE\n",
"A 1\nA 4\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 10\nU 9\n",
"B 1\nTIE\nTIE\nK 2\n",
"A 1\nA 4\nL 5\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 8\n",
"A 1\nTIE\nN 5\nK 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nB 10\nU 8\n",
"A 1\nTIE\nM 4\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 7\n",
"B 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nJ 1\n",
"A 1\nA 4\nL 5\nJ 1\n",
"B 1\nB 4\nM 4\nK 2\n",
"A 1\nB 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 9\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nV 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nV 10\n",
"A 1\nA 3\nTIE\nK 4\nX 6\nA 7\nV 1\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nV 10\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 7\nU 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 4\n",
"A 1\nA 4\nM 5\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nM 5\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 9\n"
]
} | 6AIZU
|
p01094 Look for the Winner!_37802 | Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens have strong desire to know the winner as early as possible during vote counting.
The election candidate receiving the most votes shall be the next chairperson. Suppose for instance that we have three candidates A, B, and C and ten votes. Suppose also that we have already counted six of the ten votes and the vote counts of A, B, and C are four, one, and one, respectively. At this moment, every candidate has a chance to receive four more votes and so everyone can still be the winner. However, if the next vote counted is cast for A, A is ensured to be the winner since A already has five votes and B or C can have at most four votes at the end. In this example, therefore, the TKB citizens can know the winner just when the seventh vote is counted.
Your mission is to write a program that receives every vote counted, one by one, identifies the winner, and determines when the winner gets ensured.
Input
The input consists of at most 1500 datasets, each consisting of two lines in the following format.
n
c1 c2 … cn
n in the first line represents the number of votes, and is a positive integer no greater than 100. The second line represents the n votes, separated by a space. Each ci (1 ≤ i ≤ n) is a single uppercase letter, i.e. one of 'A' through 'Z'. This represents the election candidate for which the i-th vote was cast. Counting shall be done in the given order from c1 to cn.
You should assume that at least two stand as candidates even when all the votes are cast for one candidate.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, unless the election ends in a tie, output a single line containing an uppercase letter c and an integer d separated by a space: c should represent the election winner and d should represent after counting how many votes the winner is identified. Otherwise, that is, if the election ends in a tie, output a single line containing `TIE'.
Sample Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output for the Sample Input
A 1
TIE
TIE
K 4
X 5
A 7
U 8
Example
Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output
A 1
TIE
TIE
K 4
X 5
A 7
U 8 | from collections import Counter
while True:
n = int(input())
if n == 0:
quit()
elif n == 1:
print(input(), 1)
else:
c = list(input().split())
h = [0 for i in range(26)]
flag = 0
for i in range(n):
h[ord(c[i])-65] += 1
if sorted(h)[-1] - sorted(h)[-2] >= (n-i):
print(chr(h.index(max(h))+65), i+1)
flag = 1
break
if flag == 0:
print('TIE')
| 3Python3
| {
"input": [
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n0\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W V W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C B B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C C\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A C C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C D B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nC A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C A D C B\n10\nW U T U U V V W W W\n0",
"1\nB\n4\nA A C C\n5\nL N N L O\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C @ D C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B C D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nA A B C\n5\nL M L L O\n1\nJ K K K I K\n0\nX Y Y Y Z X\n13\nB B A B A C A D C B\n1\nV V U U U W W W V V\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K L K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z Y\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B A\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n0\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K L K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A C A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A D A C C B\n10\nV U U U U V V W X W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M O L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A B A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B A\n0\nL M N L N\n6\nK K K K K K\n2\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A C A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nB\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L O\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL N N L N\n1\nK K K K J K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n4\nV V U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nW X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C B B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL O N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M M O\n1\nJ K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n1\nV V U U U V V W V V\n0",
"1\nA\n4\nA A B C\n5\nL M N L O\n1\nJ K K K J K\n0\nX Y Y Y Z X\n8\nB B A B A C A D C B\n1\nV V U U U W V W V V\n0",
"1\nB\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B B D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nB A C B\n5\nL N M M N\n2\nK K K K J K\n0\nX Y V Y Z Y\n4\nB A A B B C B B D B\n10\nV U U T U V X W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K J K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV V U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U V U V V W W W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nW X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U V U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X W Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U W V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n4\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L M\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C B C C B\n10\nW U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M K N\n2\nK K K K K K\n0\nX X X Y Z X\n12\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U T U U V U W U W\n0"
],
"output": [
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 8",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 4\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 1\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 1\n",
"A 1\nTIE\nN 5\nK 4\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 10\n",
"A 1\nA 3\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nJ 1\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 5\nX 4\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nW 10\n",
"A 1\nA 4\nTIE\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 8\n",
"A 1\nA 4\nTIE\nJ 1\n",
"A 1\nA 4\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nA 4\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 10\nU 7\n",
"B 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nTIE\nU 8\n",
"B 1\nTIE\nN 5\nK 4\n",
"B 1\nTIE\nTIE\nK 4\n",
"A 1\nB 4\nM 4\nK 2\n",
"A 1\nA 4\nL 4\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 10\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nA 3\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 5\nY 6\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nTIE\nK 6\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 1\n",
"A 1\nB 4\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nB 4\nTIE\nK 1\n",
"A 1\nTIE\nL 5\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nTIE\nN 5\nK 2\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 8\nU 8\n",
"A 1\nA 4\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nTIE\n",
"A 1\nA 4\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 10\nU 9\n",
"B 1\nTIE\nTIE\nK 2\n",
"A 1\nA 4\nL 5\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 8\n",
"A 1\nTIE\nN 5\nK 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nB 10\nU 8\n",
"A 1\nTIE\nM 4\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 7\n",
"B 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nJ 1\n",
"A 1\nA 4\nL 5\nJ 1\n",
"B 1\nB 4\nM 4\nK 2\n",
"A 1\nB 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 9\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nV 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nV 10\n",
"A 1\nA 3\nTIE\nK 4\nX 6\nA 7\nV 1\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nV 10\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 7\nU 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 4\n",
"A 1\nA 4\nM 5\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nM 5\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 9\n"
]
} | 6AIZU
|
p01094 Look for the Winner!_37803 | Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens have strong desire to know the winner as early as possible during vote counting.
The election candidate receiving the most votes shall be the next chairperson. Suppose for instance that we have three candidates A, B, and C and ten votes. Suppose also that we have already counted six of the ten votes and the vote counts of A, B, and C are four, one, and one, respectively. At this moment, every candidate has a chance to receive four more votes and so everyone can still be the winner. However, if the next vote counted is cast for A, A is ensured to be the winner since A already has five votes and B or C can have at most four votes at the end. In this example, therefore, the TKB citizens can know the winner just when the seventh vote is counted.
Your mission is to write a program that receives every vote counted, one by one, identifies the winner, and determines when the winner gets ensured.
Input
The input consists of at most 1500 datasets, each consisting of two lines in the following format.
n
c1 c2 … cn
n in the first line represents the number of votes, and is a positive integer no greater than 100. The second line represents the n votes, separated by a space. Each ci (1 ≤ i ≤ n) is a single uppercase letter, i.e. one of 'A' through 'Z'. This represents the election candidate for which the i-th vote was cast. Counting shall be done in the given order from c1 to cn.
You should assume that at least two stand as candidates even when all the votes are cast for one candidate.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, unless the election ends in a tie, output a single line containing an uppercase letter c and an integer d separated by a space: c should represent the election winner and d should represent after counting how many votes the winner is identified. Otherwise, that is, if the election ends in a tie, output a single line containing `TIE'.
Sample Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output for the Sample Input
A 1
TIE
TIE
K 4
X 5
A 7
U 8
Example
Input
1
A
4
A A B B
5
L M N L N
6
K K K K K K
6
X X X Y Z X
10
A A A B A C A C C B
10
U U U U U V V W W W
0
Output
A 1
TIE
TIE
K 4
X 5
A 7
U 8 | import java.util.Arrays;
import java.util.Scanner;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
while(true) {
int n = Integer.parseInt(sc.nextLine());
if(n == 0) break;
String vote = sc.nextLine();
int[] kouho = new int[26];
int[] sokuhou = new int[26];
boolean flag = true;
for(int i = 0; i < n; i++) {
char c = vote.charAt(2 * i);
kouho[c - 'A'] += 1;
for(int j = 0; j < 26; j++) {
sokuhou[j] = kouho[j];
}
Arrays.sort(sokuhou);
if(sokuhou[25] > sokuhou[24] + (n - i - 1)) {
int k = 0;
while(kouho[k] != sokuhou[25]) {
k++;
}
System.out.printf("%c %d\n", 'A' + k, i + 1);
flag = false;
break;
}
}
if(flag) {
System.out.println("TIE");
}
}
}
}
| 4JAVA
| {
"input": [
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n0\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W V W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n6\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X X Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C B B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C C\n5\nL M N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A C B\n5\nL M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A C C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C D B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Z X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nB A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nL M N N N\n6\nK K J J K K\n6\nX X X Y Y X\n10\nC A A A B C A C C B\n10\nU U V U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL N N L N\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C A D C B\n10\nW U T U U V V W W W\n0",
"1\nB\n4\nA A C C\n5\nL N N L O\n6\nK K K K L K\n0\nX Y X Y Z X\n34\nA A A A A C @ D C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B C D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nA A B C\n5\nL M L L O\n1\nJ K K K I K\n0\nX Y Y Y Z X\n13\nB B A B A C A D C B\n1\nV V U U U W W W V V\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K L K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U U U U V V W V W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX Y X Y Z Y\n10\nA A A B A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nA\n4\nA A B A\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n0\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U U U U V W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K L K K\n6\nX X X Y Z X\n10\nB A A B A B A C C B\n10\nV U U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nA A A C A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X X Y Z X\n10\nA A A B A D A C C B\n10\nV U U U U V V W X W\n0",
"1\nA\n4\nA B B B\n5\nL M N L N\n1\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n0\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M O L N\n6\nK J K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N K N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nB A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X X Z X\n10\nA A A B A B A C C B\n10\nU U U U U V V W W W\n0",
"1\nA\n4\nA A B A\n0\nL M N L N\n6\nK K K K K K\n2\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L N\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nY X W Y Z X\n10\nA A A C A C A C C B\n10\nW U U U U V V W X W\n0",
"1\nB\n4\nA A B B\n5\nL M N L N\n2\nK K K K K K\n0\nX X X Y Z X\n10\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A C B\n5\nL M N L O\n6\nK J K K K K\n0\nX Y X Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U V V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL N N L N\n1\nK K K K J K\n0\nX X X Y Z X\n10\nB A A B A C A C C B\n4\nV V U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nW X X Y Z X\n10\nB A A B B C A C C B\n10\nV U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B B C A C C B\n10\nU U U U U V U W U V\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n1\nJ K K K K K\n0\nX X X Y Y X\n10\nB A A B A C A D C B\n0\nV U U U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A A B C A C B B\n10\nU U U U U V U W U V\n0",
"1\nB\n4\nA A C C\n5\nL O N L N\n6\nK J K K K K\n0\nX Y X Y Z X\n18\nA A A B A C A C C B\n10\nW U T U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M M M O\n1\nJ K K K J K\n0\nX X X Y Z X\n10\nB B A B A C A C C B\n1\nV V U U U V V W V V\n0",
"1\nA\n4\nA A B C\n5\nL M N L O\n1\nJ K K K J K\n0\nX Y Y Y Z X\n8\nB B A B A C A D C B\n1\nV V U U U W V W V V\n0",
"1\nB\n4\nB A C B\n5\nL M M M N\n2\nK K K K J K\n0\nX Y W Y Z Y\n4\nB A A B B C B B D B\n10\nV U U U U V X W V W\n0",
"1\nA\n4\nB A C B\n5\nL N M M N\n2\nK K K K J K\n0\nX Y V Y Z Y\n4\nB A A B B C B B D B\n10\nV U U T U V X W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K J K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nY X X Y Z X\n10\nB A A B A B A C C B\n10\nV V U U U W V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X Y Y Z X\n10\nA A A B A C A C C B\n10\nV U U V U V V W W W\n0",
"1\nA\n4\nA A A B\n5\nL M N L N\n6\nK K K K K K\n6\nW X X Y Z X\n10\nA A A B A C A C C B\n1\nV U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL L N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C A C C B\n10\nV U U U U U U W V W\n0",
"1\nA\n4\nA A B B\n5\nK M N L N\n6\nK I K K K K\n6\nX X X Y Z X\n10\nA A A B A C A C C B\n10\nV U V U U V V W W W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX Y X Y Z X\n10\nA A A B A C A C C B\n1\nU U U U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK J K K K K\n6\nX X W Y Z X\n10\nA A A B A C A C C B\n10\nW U T U U W V W X W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK L K K K K\n6\nX X X Y Z X\n10\nB A A C A B A C C B\n4\nV U U U U V V W V W\n0",
"1\nA\n4\nA A B A\n5\nL M M L M\n6\nK K K K K K\n6\nX X X Y Y X\n10\nB A A B A C A C C B\n10\nV T U U U W W W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N L N\n6\nK K K K K K\n6\nX X X Y Z X\n10\nB A A B A C B C C B\n10\nW U U U U V U W U W\n0",
"1\nA\n4\nA A B B\n5\nL M M K N\n2\nK K K K K K\n0\nX X X Y Z X\n12\nB A A B A C A B C B\n10\nW U T U U V V W V W\n0",
"1\nA\n4\nA A B B\n5\nL M N M N\n6\nK K J K K K\n6\nX X X Y Z X\n10\nB A A B A C A C D B\n10\nV U T U U V U W U W\n0"
],
"output": [
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 8",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 4\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 1\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 9\n",
"A 1\nTIE\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 10\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 7\nU 1\n",
"A 1\nTIE\nN 5\nK 4\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 7\nU 8\n",
"A 1\nB 4\nTIE\nK 4\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 10\n",
"A 1\nA 3\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nJ 1\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nB 4\nTIE\nK 5\nX 4\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nW 10\n",
"A 1\nA 4\nTIE\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 8\n",
"A 1\nA 4\nTIE\nJ 1\n",
"A 1\nA 4\nM 4\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nA 4\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 10\nU 7\n",
"B 1\nTIE\nN 5\nK 5\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 6\nX 5\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nA 10\nU 8\n",
"A 1\nTIE\nN 5\nK 6\nX 6\nTIE\nU 8\n",
"B 1\nTIE\nN 5\nK 4\n",
"B 1\nTIE\nTIE\nK 4\n",
"A 1\nB 4\nM 4\nK 2\n",
"A 1\nA 4\nL 4\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 7\nU 8\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nU 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nU 10\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nA 3\nTIE\nK 4\nX 5\nA 7\nV 1\n",
"A 1\nTIE\nTIE\nK 5\nY 6\nA 7\nU 9\n",
"A 1\nA 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nTIE\nK 6\nX 5\nTIE\nU 10\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 10\nU 1\n",
"A 1\nB 4\nTIE\nK 5\nX 5\nA 7\nU 10\n",
"A 1\nB 4\nTIE\nK 1\n",
"A 1\nTIE\nL 5\nK 5\nX 6\nA 7\nTIE\n",
"A 1\nTIE\nN 5\nK 2\n",
"A 1\nB 4\nTIE\nK 4\nX 4\nA 8\nU 8\n",
"A 1\nA 4\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nTIE\n",
"A 1\nA 4\nTIE\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nTIE\nA 10\nU 9\n",
"B 1\nTIE\nTIE\nK 2\n",
"A 1\nA 4\nL 5\nK 5\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 8\n",
"A 1\nTIE\nN 5\nK 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nB 10\nU 8\n",
"A 1\nTIE\nM 4\nK 5\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nN 5\nJ 1\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nTIE\nU 7\n",
"B 1\nTIE\nTIE\nK 5\n",
"A 1\nTIE\nM 4\nJ 1\n",
"A 1\nA 4\nL 5\nJ 1\n",
"B 1\nB 4\nM 4\nK 2\n",
"A 1\nB 4\nTIE\nK 2\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nA 9\nTIE\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nTIE\nV 10\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nV 10\n",
"A 1\nA 3\nTIE\nK 4\nX 6\nA 7\nV 1\n",
"A 1\nTIE\nL 4\nK 4\nX 5\nA 10\nU 7\n",
"A 1\nTIE\nN 5\nK 5\nX 5\nA 7\nV 10\n",
"A 1\nTIE\nTIE\nK 4\nX 6\nA 7\nU 1\n",
"A 1\nTIE\nTIE\nK 5\nX 6\nA 7\nW 10\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 10\nU 4\n",
"A 1\nA 4\nM 5\nK 4\nX 6\nA 10\nW 10\n",
"A 1\nTIE\nTIE\nK 4\nX 5\nB 10\nU 7\n",
"A 1\nTIE\nM 5\nK 2\n",
"A 1\nTIE\nTIE\nK 5\nX 5\nA 9\nU 9\n"
]
} | 6AIZU
|
p01230 Can I go there?_37804 | At one point, there was a president who traveled around Japan to do business. One day he got a mysterious ticket. If you use the ticket, the train fare will be free regardless of the distance to the destination. However, when moving from the current station to the adjacent station is counted as one step, if the number of steps to move is not exactly equal to the number written on the ticket, an additional fee will be charged. It is forbidden to move around a section immediately, but it is permissible to go through a station or section that you have already visited multiple times. For example, you cannot move to station 1, station 2, or station 1, but there is no problem with moving to station 1, station 2, station 3, station 1, or station 2. Also, if you finally arrive at your destination, you may go through the starting point and destination as many times as you like.
The president immediately decided to use this ticket to go to his next destination. However, since the route map is complicated, the route cannot be easily determined. Your job is to write a program on behalf of the president to determine if you can reach your destination for free.
Stations are numbered from 1 to N, with the departure station being 1 and the destination station being N. The route map is given by the row of sections connecting the two stations. The section can pass in either direction. It is guaranteed that there is no section connecting the same stations and that there is at most one section connecting a pair of stations.
Input
The input consists of multiple datasets.
Each dataset is given in the following format.
N M Z
s1 d1
s2 d2
...
sM dM
N is the total number of stations, M is the total number of sections, and Z is the number of steps written on the ticket. si and di (1 ≤ i ≤ M) are integers representing station numbers, indicating that there is an interval between station si and station di, respectively.
N, M, Z are positive integers and satisfy the following conditions: 2 ≤ N ≤ 50, 1 ≤ M ≤ 50, 0 <Z <231.
After the last dataset, there is a line that says "` 0 0 0 `".
The number of datasets does not exceed 30.
Output
For each dataset, output a one-line string containing only "` yes` "if the destination can be reached with just the number of steps written on the ticket, or" `no`" if not. ..
Example
Input
2 1 1
1 2
2 1 2
1 2
3 1 2
1 2
8 8 5778
1 2
2 3
2 4
3 5
5 6
6 7
7 8
4 8
8 8 5777
1 2
2 3
2 4
3 5
5 6
6 7
7 8
4 8
0 0 0
Output
yes
no
no
yes
no | #include <iostream>
#include <vector>
#include <map>
#include <cstring>
using namespace std;
typedef pair<int,int> P;
typedef vector<int> vec;
typedef vector<vec> mat;
typedef long long ll;
int N, M, Z;
int tt[200][200], t[200][200];
map<P,int> idx;
P ridx[200];
const int MOD = 10000;
mat mul(mat &A, mat &B){
mat C(A.size(), vec(B[0].size()));
for(int i = 0; i < A.size(); i++){
for(int k = 0; k < B.size(); k++){
for(int j = 0; j < B[0].size(); j++){
C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % MOD;
}
}
}
return C;
}
mat pow(mat A, ll n){
mat B(A.size(), vec(A.size()));
for(int i = 0; i < A.size(); i++){
B[i][i] = 1;
}
while(n > 0){
if(n & 1) B = mul(B, A);
A = mul(A, A);
n >>= 1;
}
return B;
}
int main(){
while(cin >> N >> M >> Z, N || M || Z){
memset(tt, 0, sizeof(tt));
idx.clear();
for(int i = 1; i <= N; i++){
int size = idx.size();
idx[P(i, 0)] = size;
ridx[size] = P(i, 0);
}
for(int i = 0; i < M; i++){
int a, b;
cin >> a >> b;
tt[a][b] = tt[b][a] = true;
int size = idx.size();
idx[P(a, b)] = size;
idx[P(b, a)] = size + 1;
ridx[size] = P(a, b);
ridx[size + 1] = P(b, a);
}
memset(t, 0, sizeof(t));
for(int i = 1; i <= N; i++){ //今いる位置
for(int j = 0; j <= N; j++){ //前いた位置
if(j != 0 && !tt[i][j]) continue;
if(idx.find(P(i, j)) == idx.end()) continue;
int from = idx[P(i, j)];
for(int k = 1; k <= N; k++){
if(i == k || k == j) continue;
if(!tt[i][k]) continue;
if(idx.find(P(k, i)) == idx.end()) continue;
int to = idx[P(k, i)];
t[from][to] = true;
}
}
}
mat A;
for(int i = 0; i < idx.size(); i++){
vec v;
for(int j = 0; j < idx.size(); j++){
v.push_back(t[i][j]);
}
A.push_back(v);
}
mat ans = pow(A, Z);
bool flg = false;
for(int j = 0; j < idx.size(); j++){
if(ans[0][j] > 0 && ridx[j].first == N){
flg = true;
break;
}
}
cout << (flg ? "yes" : "no") << endl;
}
} | 2C++
| {
"input": [
"2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n5 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n9 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 9\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n3 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n6 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 4\n3 0\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 4\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 2\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"6 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 3\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 3\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 9\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 4\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 13\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n1 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"6 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 2\n2 4\n3 5\n5 6\n6 9\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n1 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 3\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"6 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n14 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n2 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 4\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 4\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n1 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 3\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n2 2\n2 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 4\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n8 8\n0 0 0",
"3 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n6 8\n8 8 5777\n2 2\n2 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n8 8\n0 0 0",
"3 1 1\n2 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n12 7\n7 10\n4 2\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n5 8\n8 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 6\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n12 7\n7 10\n4 2\n0 0 0",
"2 1 1\n0 2\n4 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n5 8\n8 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"1 1 1\n1 2\n2 1 2\n1 4\n3 1 6\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n12 7\n7 10\n4 2\n0 0 0",
"2 1 1\n2 2\n2 1 4\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n5 8\n4 8\n0 0 0",
"2 1 1\n0 2\n4 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n3 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n5 8\n8 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 16\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 16\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 6\n4 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 10\n4 16\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 6\n4 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 10\n4 16\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 6\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 3\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n9 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 5\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 3696\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 4\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n8 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 6\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 6896\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 0\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 5\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 2\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 9363\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n10 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n6 1 2\n1 2\n11 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n4 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 9\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n3 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n7 7\n6 7\n3 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n11 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n6 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 4\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n6 8\n0 0 0",
"4 1 2\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n3 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0"
],
"output": [
"yes\nno\nno\nyes\nno",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nyes\nno\n",
"no\nno\nno\nno\nyes\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nyes\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nyes\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n"
]
} | 6AIZU
|
p01230 Can I go there?_37805 | At one point, there was a president who traveled around Japan to do business. One day he got a mysterious ticket. If you use the ticket, the train fare will be free regardless of the distance to the destination. However, when moving from the current station to the adjacent station is counted as one step, if the number of steps to move is not exactly equal to the number written on the ticket, an additional fee will be charged. It is forbidden to move around a section immediately, but it is permissible to go through a station or section that you have already visited multiple times. For example, you cannot move to station 1, station 2, or station 1, but there is no problem with moving to station 1, station 2, station 3, station 1, or station 2. Also, if you finally arrive at your destination, you may go through the starting point and destination as many times as you like.
The president immediately decided to use this ticket to go to his next destination. However, since the route map is complicated, the route cannot be easily determined. Your job is to write a program on behalf of the president to determine if you can reach your destination for free.
Stations are numbered from 1 to N, with the departure station being 1 and the destination station being N. The route map is given by the row of sections connecting the two stations. The section can pass in either direction. It is guaranteed that there is no section connecting the same stations and that there is at most one section connecting a pair of stations.
Input
The input consists of multiple datasets.
Each dataset is given in the following format.
N M Z
s1 d1
s2 d2
...
sM dM
N is the total number of stations, M is the total number of sections, and Z is the number of steps written on the ticket. si and di (1 ≤ i ≤ M) are integers representing station numbers, indicating that there is an interval between station si and station di, respectively.
N, M, Z are positive integers and satisfy the following conditions: 2 ≤ N ≤ 50, 1 ≤ M ≤ 50, 0 <Z <231.
After the last dataset, there is a line that says "` 0 0 0 `".
The number of datasets does not exceed 30.
Output
For each dataset, output a one-line string containing only "` yes` "if the destination can be reached with just the number of steps written on the ticket, or" `no`" if not. ..
Example
Input
2 1 1
1 2
2 1 2
1 2
3 1 2
1 2
8 8 5778
1 2
2 3
2 4
3 5
5 6
6 7
7 8
4 8
8 8 5777
1 2
2 3
2 4
3 5
5 6
6 7
7 8
4 8
0 0 0
Output
yes
no
no
yes
no | import java.io.IOException;
import java.util.Arrays;
import java.util.Scanner;
public class Main {
public static final int MAX_NODES = 51 * 51;
public static final boolean[][] mul(boolean[][] one, boolean[][] two, final int NODES){
boolean[][] ret = new boolean[NODES][NODES];
for(int h = 0; h < NODES; h++){
for(int v = 0; v < NODES; v++){
if(ret[h][v]){
continue;
}
for(int t = 0; t < NODES; t++){
ret[h][v] = one[h][t] && two[t][v];
if(ret[h][v]){
break;
}
}
}
}
return ret;
}
public static final boolean[][] pow(boolean[][] adj, final int NODES, final int Z){
if(Z == 1){
return adj;
}else if(Z % 2 == 0){
boolean[][] ret = pow(adj, NODES, Z / 2);
return mul(ret, ret, NODES);
}else{
return mul(adj, pow(adj, NODES, Z - 1), NODES);
}
}
public static void main(String[] args) throws IOException {
Scanner sc = new Scanner(System.in);
while(true){
final int N = sc.nextInt();
final int M = sc.nextInt();
final int Z = sc.nextInt();
if(N == 0 && M == 0 && Z == 0){
break;
}
int[] pre = new int[2 * M];
int[] now = new int[2 * M];
for(int i = 0; i < M; i++){
int s = sc.nextInt();
int t = sc.nextInt();
pre[i * 2] = s;
now[i * 2] = t;
pre[i * 2 + 1] = t;
now[i * 2 + 1] = s;
}
boolean[][] A = new boolean[2 * M + 1][2 * M + 1];
for(int i = 0; i < 2 * M; i++){
for(int j = 0; j < 2 * M; j++){
if(now[i] == pre[j] && now[j] != pre[i]){
A[i][j] = true;
}
}
}
for(int i = 0; i < 2 * M; i++){
if(pre[i] == 1){
A[2 * M][i] = true;
}
}
A = pow(A, 2 * M + 1, Z);
boolean flag = false;
for(int i = 0; i < 2 * M; i++){
if(now[i] == N && A[2 * M][i]){
flag = true;
break;
}
}
System.out.println(flag ? "yes" : "no");
}
}
} | 4JAVA
| {
"input": [
"2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n5 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n9 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 9\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n3 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n6 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 4\n3 0\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 4\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 2\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"6 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 3\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 3\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 9\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 4\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 13\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n1 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"6 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 2\n2 4\n3 5\n5 6\n6 9\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n1 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 3\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"6 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n14 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n2 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 4\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 4\n1 4\n3 1 2\n1 2\n10 8 5778\n1 2\n1 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 3\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n4 8\n8 8 5777\n2 2\n2 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 4\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n8 8\n0 0 0",
"3 1 1\n1 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 2\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n2 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 2\n7 8\n6 8\n8 8 5777\n2 2\n2 3\n2 4\n3 5\n5 6\n6 13\n7 8\n4 8\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n2 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n8 8\n0 0 0",
"3 1 1\n2 2\n2 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 3\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n12 7\n7 10\n4 2\n0 0 0",
"2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n5 8\n8 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 6\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n12 7\n7 10\n4 2\n0 0 0",
"2 1 1\n0 2\n4 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n5 8\n8 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 8\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"1 1 1\n1 2\n2 1 2\n1 4\n3 1 6\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 3\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n12 7\n7 10\n4 2\n0 0 0",
"2 1 1\n2 2\n2 1 4\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n5 8\n4 8\n0 0 0",
"2 1 1\n0 2\n4 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n0 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n3 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n5 8\n8 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 16\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 8\n4 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 8\n4 16\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 6\n4 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 10\n4 16\n8 8 1842\n0 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 6\n4 8\n0 0 0",
"3 1 1\n2 2\n1 1 2\n1 2\n6 1 2\n1 2\n8 8 5778\n1 2\n2 3\n0 4\n3 7\n5 6\n6 7\n7 10\n4 16\n8 8 1842\n1 2\n2 3\n2 4\n3 5\n5 6\n6 0\n7 6\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n10 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 3\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n9 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 5\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 3696\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 4\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n8 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 6\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 6896\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 0\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 5\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 2\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 1\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 9363\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n12 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 2\n10 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 10\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n6 1 2\n1 2\n11 8 5778\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n4 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 9\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 3\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n3 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n7 7\n6 7\n3 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n11 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n6 5\n5 6\n6 7\n7 8\n4 8\n0 0 0",
"2 1 1\n1 2\n2 1 2\n1 4\n3 1 4\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n7 8\n8 8\n8 8 5777\n0 2\n2 3\n2 7\n3 5\n5 6\n6 7\n7 8\n6 8\n0 0 0",
"4 1 2\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n3 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0"
],
"output": [
"yes\nno\nno\nyes\nno",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nyes\nno\n",
"no\nno\nno\nno\nyes\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nyes\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nyes\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"yes\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\n"
]
} | 6AIZU
|
p01364 Two-Wheel Buggy_37806 | International Car Production Company (ICPC), one of the largest automobile manufacturers in the world, is now developing a new vehicle called "Two-Wheel Buggy". As its name suggests, the vehicle has only two wheels. Quite simply, "Two-Wheel Buggy" is made up of two wheels (the left wheel and the right wheel) and a axle (a bar connecting two wheels). The figure below shows its basic structure.
<image>
Figure 7: The basic structure of the buggy
Before making a prototype of this new vehicle, the company decided to run a computer simula- tion. The details of the simulation is as follows.
In the simulation, the buggy will move on the x-y plane. Let D be the distance from the center of the axle to the wheels. At the beginning of the simulation, the center of the axle is at (0, 0), the left wheel is at (-D, 0), and the right wheel is at (D, 0). The radii of two wheels are 1.
<image>
Figure 8: The initial position of the buggy
The movement of the buggy in the simulation is controlled by a sequence of instructions. Each instruction consists of three numbers, Lspeed, Rspeed and time. Lspeed and Rspeed indicate the rotation speed of the left and right wheels, respectively, expressed in degree par second. time indicates how many seconds these two wheels keep their rotation speed. If a speed of a wheel is positive, it will rotate in the direction that causes the buggy to move forward. Conversely, if a speed is negative, it will rotate in the opposite direction. For example, if we set Lspeed as -360, the left wheel will rotate 360-degree in one second in the direction that makes the buggy move backward. We can set Lspeed and Rspeed differently, and this makes the buggy turn left or right. Note that we can also set one of them positive and the other negative (in this case, the buggy will spin around).
<image>
Figure 9: Examples
Your job is to write a program that calculates the final position of the buggy given a instruction sequence. For simplicity, you can can assume that wheels have no width, and that they would never slip.
Input
The input consists of several datasets. Each dataset is formatted as follows.
N D
Lspeed1 Rspeed1 time1
.
.
.
Lspeedi Rspeedi timei
.
.
.
LspeedN RspeedN timeN
The first line of a dataset contains two positive integers, N and D (1 ≤ N ≤ 100, 1 ≤ D ≤ 10). N indicates the number of instructions in the dataset, and D indicates the distance between the center of axle and the wheels. The following N lines describe the instruction sequence. The i-th line contains three integers, Lspeedi, i, and timei (-360 ≤ Lspeedi, Rspeedi ≤ 360, 1 ≤ timei ), describing the i-th instruction to the buggy. You can assume that the sum of timei is at most 500.
The end of input is indicated by a line containing two zeros. This line is not part of any dataset and hence should not be processed.
Output
For each dataset, output two lines indicating the final position of the center of the axle. The first line should contain the x-coordinate, and the second line should contain the y-coordinate. The absolute error should be less than or equal to 10-3 . No extra character should appear in the output.
Example
Input
1 1
180 90 2
1 1
180 180 20
2 10
360 -360 5
-90 360 8
3 2
100 60 9
-72 -72 10
-45 -225 5
0 0
Output
3.00000
3.00000
0.00000
62.83185
12.00000
0.00000
-2.44505
13.12132 | #include <iostream>
#include <complex>
#include <cmath>
#include <cstdio>
using namespace std;
typedef complex<double> P;
const double PI = acos(-1.0);
int main(){
int N, D;
while(cin >> N >> D, N){
P p = P(0,0); double dir = PI/2;
for(int i=0;i<N;i++){
int L, R, T; cin >> L >> R >> T;
if(L==R){
p = p + T*L/180.0*PI*P(cos(dir), sin(dir));
}
else {
double r = ((double)L+R)/(L-R)*D;
P c = p + P(cos(dir), sin(dir))*P(0,-1)*r;
double agl = (r > 0 ? -L/abs(r+D) : R/abs(r-D))*T*PI/180.0;
dir += agl;
p = (p-c)*P(cos(agl), sin(agl))+c;
}
}
printf("%.8lf\n%.8lf\n", real(p), imag(p));
}
} | 2C++
| {
"input": [
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-6 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 2\n100 60 9\n-36 -39 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 36\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -198 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-41 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 5\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 2\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 2\n180 253 2\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n42 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-58 -225 5\n0 0",
"1 1\n181 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 11\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-30 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 2\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -359 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 6\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-31 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-6 360 8\n3 2\n100 60 9\n-102 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 8\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 155 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-4 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 2\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 11\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n97 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 1\n100 60 9\n-36 -39 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 40 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 36\n2 10\n91 -360 5\n-90 365 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -198 5\n-12 360 8\n3 2\n000 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n18 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 125 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 169 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -97 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 181 20\n2 13\n143 -966 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 9\n-72 -72 18\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 81 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -395 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n110 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 2\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -413 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 1\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 2\n1 1\n180 180 19\n2 2\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n0 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-35 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -805 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-59 -225 4\n0 0",
"1 1\n81 90 2\n1 2\n13 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 1\n181 90 2\n1 1\n180 180 20\n2 10\n360 -435 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n262 -360 5\n-9 360 11\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 11\n3 2\n100 60 9\n-30 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 96 20\n2 13\n143 -360 2\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 15\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -359 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 6\n3 2\n100 60 9\n-36 -72 3\n-45 -225 5\n0 0",
"1 1\n69 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-31 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 8\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-40 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 11\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n97 180 20\n2 13\n143 -360 5\n-9 812 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 1\n100 60 9\n-36 -16 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 8\n-12 40 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 2\n2 10\n360 -198 5\n-12 360 8\n3 2\n000 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n18 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-52 -72 10\n-45 -225 5\n0 0",
"1 1\n180 125 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-79 -72 10\n-59 -225 5\n0 0"
],
"output": [
"3.00000\n3.00000\n0.00000\n62.83185\n12.00000\n0.00000\n-2.44505\n13.12132",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n20.47025001\n2.98909332\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n12.00000000\n0.00000000\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.98641150\n14.45675996\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.30166480\n10.35886705\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.02124995\n10.28664424\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.47345223\n13.81977503\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n7.12132034\n11.87867966\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n-3.63053828\n5.56592249\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.35663340\n-4.84605912\n-2.98641150\n14.45675996\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.47345223\n13.81977503\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n4.24532899\n13.22837580\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n-3.63053828\n5.56592249\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n17.35663340\n-4.84605912\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"-0.68651846\n2.47550559\n0.00000000\n113.09733553\n-3.63053828\n5.56592249\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n21.45620725\n9.47275376\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.68520093\n0.99319238\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.33336979\n0.94401148\n",
"5.12132034\n2.12132034\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n-9.46461108\n-13.67920037\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n2.45967644\n-20.23036522\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-8.79886105\n4.51330010\n",
"-7.91148452\n5.59128446\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-4.19730208\n5.67232821\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-12.87759225\n-13.47109530\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.77227988\n-6.56019928\n",
"-0.23392153\n2.97225484\n-0.43104870\n-1.60869565\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.66478357\n-6.54588344\n",
"3.02999563\n2.97756841\n0.00000000\n62.83185307\n12.00000000\n0.00000000\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n18.27145701\n3.70906825\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n20.47025001\n2.98909332\n7.70613775\n10.73973059\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n-7.65009921\n16.16023211\n-2.44505027\n13.12132034\n",
"6.00000000\n0.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.00305383\n10.34360487\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.29794178\n4.22930894\n7.12132034\n11.87867966\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.22539357\n11.85781077\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.30166480\n10.35886705\n-7.60251706\n2.77683427\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.14328948\n5.10399230\n-2.44505027\n13.12132034\n",
"1.25547565\n5.66308471\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.94782095\n14.00520465\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n-0.25336533\n-4.78226675\n7.12132034\n11.87867966\n",
"3.00000000\n3.00000000\n0.00000000\n34.55751919\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n-2.84624885\n5.46759316\n5.47345223\n13.81977503\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n10.68897165\n7.53113630\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n0.35093867\n-1.91211441\n-2.98641150\n14.45675996\n",
"-0.68651846\n2.47550559\n0.00000000\n113.09733553\n-3.79248630\n5.72516907\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n21.45620725\n9.47275376\n8.91997126\n4.61716089\n",
"-1.03647451\n1.42658477\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.68520093\n0.99319238\n",
"4.82162748\n5.49801241\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n27.05851340\n51.97892063\n7.15163435\n-1.06236893\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n2.46437349\n16.85711786\n",
"-0.23392153\n2.97225484\n-2.74742798\n62.92644626\n-9.46461108\n-13.67920037\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-13.03950800\n14.45675996\n",
"-0.23392153\n2.97225484\n9.00110848\n3.72838121\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n0.71204332\n22.87017133\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.85776291\n-4.35452145\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n-1.42571402\n1.54042994\n-8.79886105\n4.51330010\n",
"-7.91148452\n5.59128446\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-6.89851214\n-10.76376689\n",
"-0.11714132\n2.98144564\n0.00000000\n3.14159265\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-4.19730208\n5.67232821\n0.00000000\n59.69026042\n0.19880783\n1.73443854\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n6.50586975\n-5.20094030\n-14.21869523\n-5.19507893\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-12.48390557\n-13.15044734\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n6.97656268\n3.08293321\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-10.86356421\n-8.72526771\n",
"-0.23392153\n2.97225484\n-3.28820748\n2.09481920\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"3.02999563\n2.97756841\n0.00000000\n62.83185307\n9.52643502\n-3.55402881\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n12.07892896\n10.29878301\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n21.03947153\n11.95021527\n7.70613775\n10.73973059\n",
"3.00000000\n3.00000000\n3.28571429\n5.69102408\n-7.65009921\n16.16023211\n-2.44505027\n13.12132034\n",
"6.00000000\n0.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n5.87867966\n13.12132034\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.00305383\n10.34360487\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.29794178\n4.22930894\n9.49119805\n12.25403141\n",
"-0.50289106\n2.71335733\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.22539357\n11.85781077\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.14328948\n5.10399230\n-2.33210696\n12.65805103\n",
"6.00000000\n0.00000000\n0.00000000\n34.55751919\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n-2.84624885\n5.46759316\n-16.38069905\n12.25268255\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n3.21083084\n3.77723952\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n-1.92697488\n0.25711334\n-2.98641150\n14.45675996\n",
"5.12132034\n2.12132034\n0.00000000\n6.28318531\n21.45620725\n9.47275376\n8.91997126\n4.61716089\n",
"-1.03647451\n1.42658477\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-12.02350199\n-4.72944532\n",
"4.82162748\n5.49801241\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-5.40805873\n12.63624131\n"
]
} | 6AIZU
|
p01364 Two-Wheel Buggy_37807 | International Car Production Company (ICPC), one of the largest automobile manufacturers in the world, is now developing a new vehicle called "Two-Wheel Buggy". As its name suggests, the vehicle has only two wheels. Quite simply, "Two-Wheel Buggy" is made up of two wheels (the left wheel and the right wheel) and a axle (a bar connecting two wheels). The figure below shows its basic structure.
<image>
Figure 7: The basic structure of the buggy
Before making a prototype of this new vehicle, the company decided to run a computer simula- tion. The details of the simulation is as follows.
In the simulation, the buggy will move on the x-y plane. Let D be the distance from the center of the axle to the wheels. At the beginning of the simulation, the center of the axle is at (0, 0), the left wheel is at (-D, 0), and the right wheel is at (D, 0). The radii of two wheels are 1.
<image>
Figure 8: The initial position of the buggy
The movement of the buggy in the simulation is controlled by a sequence of instructions. Each instruction consists of three numbers, Lspeed, Rspeed and time. Lspeed and Rspeed indicate the rotation speed of the left and right wheels, respectively, expressed in degree par second. time indicates how many seconds these two wheels keep their rotation speed. If a speed of a wheel is positive, it will rotate in the direction that causes the buggy to move forward. Conversely, if a speed is negative, it will rotate in the opposite direction. For example, if we set Lspeed as -360, the left wheel will rotate 360-degree in one second in the direction that makes the buggy move backward. We can set Lspeed and Rspeed differently, and this makes the buggy turn left or right. Note that we can also set one of them positive and the other negative (in this case, the buggy will spin around).
<image>
Figure 9: Examples
Your job is to write a program that calculates the final position of the buggy given a instruction sequence. For simplicity, you can can assume that wheels have no width, and that they would never slip.
Input
The input consists of several datasets. Each dataset is formatted as follows.
N D
Lspeed1 Rspeed1 time1
.
.
.
Lspeedi Rspeedi timei
.
.
.
LspeedN RspeedN timeN
The first line of a dataset contains two positive integers, N and D (1 ≤ N ≤ 100, 1 ≤ D ≤ 10). N indicates the number of instructions in the dataset, and D indicates the distance between the center of axle and the wheels. The following N lines describe the instruction sequence. The i-th line contains three integers, Lspeedi, i, and timei (-360 ≤ Lspeedi, Rspeedi ≤ 360, 1 ≤ timei ), describing the i-th instruction to the buggy. You can assume that the sum of timei is at most 500.
The end of input is indicated by a line containing two zeros. This line is not part of any dataset and hence should not be processed.
Output
For each dataset, output two lines indicating the final position of the center of the axle. The first line should contain the x-coordinate, and the second line should contain the y-coordinate. The absolute error should be less than or equal to 10-3 . No extra character should appear in the output.
Example
Input
1 1
180 90 2
1 1
180 180 20
2 10
360 -360 5
-90 360 8
3 2
100 60 9
-72 -72 10
-45 -225 5
0 0
Output
3.00000
3.00000
0.00000
62.83185
12.00000
0.00000
-2.44505
13.12132 | from math import pi, cos, sin
def solve():
def rotate(x, y, theta):
cv = cos(theta); sv = sin(theta)
return x*cv - y*sv, x*sv + y*cv
N, D = map(int, input().split())
if N == D == 0:
return False
x0 = -D; x1 = D
y0 = y1 = 0
for i in range(N):
dl, dr, t = map(int, input().split())
if dl ^ dr >= 0:
if dl == dr:
dx = x1 - x0; dy = y1 - y0
a = pi * dl * t / 180
dx1 = -dy * a / (2*D); dy1 = dx * a / (2*D)
x0 += dx1; x1 += dx1
y0 += dy1; y1 += dy1
elif dl > dr:
x2 = (dl * x1 - dr * x0) / (dl - dr)
y2 = (dl * y1 - dr * y0) / (dl - dr)
theta = pi * (dl - dr) * t / (360 * D)
dx, dy = rotate(x0 - x2, y0 - y2, -theta)
x0 = x2 + dx; y0 = y2 + dy
dx, dy = rotate(x1 - x2, y1 - y2, -theta)
x1 = x2 + dx; y1 = y2 + dy
else:
x2 = (dr * x0 - dl * x1) / (dr - dl)
y2 = (dr * y0 - dl * y1) / (dr - dl)
theta = pi * (dr - dl) * t / (360 * D)
dx, dy = rotate(x0 - x2, y0 - y2, theta)
x0 = x2 + dx; y0 = y2 + dy
dx, dy = rotate(x1 - x2, y1 - y2, theta)
x1 = x2 + dx; y1 = y2 + dy
else:
if dl > dr:
x2 = (- dr * x0 + dl * x1) / (dl - dr)
y2 = (- dr * y0 + dl * y1) / (dl - dr)
theta = pi * (dl - dr) * t / (360 * D)
dx, dy = rotate(x0 - x2, y0 - y2, -theta)
x0 = x2 + dx; y0 = y2 + dy
dx, dy = rotate(x1 - x2, y1 - y2, -theta)
x1 = x2 + dx; y1 = y2 + dy
else:
x2 = (dr * x0 - dl * x1) / (- dl + dr)
y2 = (dr * y0 - dl * y1) / (- dl + dr)
theta = pi * (- dl + dr) * t / (360 * D)
dx, dy = rotate(x0 - x2, y0 - y2, theta)
x0 = x2 + dx; y0 = y2 + dy
dx, dy = rotate(x1 - x2, y1 - y2, theta)
x1 = x2 + dx; y1 = y2 + dy
print("%.16f" % ((x0 + x1) / 2))
print("%.16f" % ((y0 + y1) / 2))
return True
while solve():
...
| 3Python3
| {
"input": [
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-6 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 2\n100 60 9\n-36 -39 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 36\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -198 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-41 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 5\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 2\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 2\n180 253 2\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n42 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-58 -225 5\n0 0",
"1 1\n181 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 11\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-30 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 2\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -359 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 6\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-31 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-6 360 8\n3 2\n100 60 9\n-102 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 8\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 155 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-4 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 2\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 11\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n97 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 1\n100 60 9\n-36 -39 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 40 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 36\n2 10\n91 -360 5\n-90 365 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -198 5\n-12 360 8\n3 2\n000 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n18 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 125 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 169 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -97 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 181 20\n2 13\n143 -966 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 9\n-72 -72 18\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 81 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -395 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n110 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 2\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -413 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 1\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 2\n1 1\n180 180 19\n2 2\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n0 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-35 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -805 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-59 -225 4\n0 0",
"1 1\n81 90 2\n1 2\n13 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 1\n181 90 2\n1 1\n180 180 20\n2 10\n360 -435 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n262 -360 5\n-9 360 11\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 11\n3 2\n100 60 9\n-30 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 96 20\n2 13\n143 -360 2\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 15\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -359 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 6\n3 2\n100 60 9\n-36 -72 3\n-45 -225 5\n0 0",
"1 1\n69 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-31 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 8\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-40 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 11\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n97 180 20\n2 13\n143 -360 5\n-9 812 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 1\n100 60 9\n-36 -16 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 8\n-12 40 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 2\n2 10\n360 -198 5\n-12 360 8\n3 2\n000 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n18 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-52 -72 10\n-45 -225 5\n0 0",
"1 1\n180 125 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-79 -72 10\n-59 -225 5\n0 0"
],
"output": [
"3.00000\n3.00000\n0.00000\n62.83185\n12.00000\n0.00000\n-2.44505\n13.12132",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n20.47025001\n2.98909332\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n12.00000000\n0.00000000\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.98641150\n14.45675996\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.30166480\n10.35886705\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.02124995\n10.28664424\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.47345223\n13.81977503\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n7.12132034\n11.87867966\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n-3.63053828\n5.56592249\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.35663340\n-4.84605912\n-2.98641150\n14.45675996\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.47345223\n13.81977503\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n4.24532899\n13.22837580\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n-3.63053828\n5.56592249\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n17.35663340\n-4.84605912\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"-0.68651846\n2.47550559\n0.00000000\n113.09733553\n-3.63053828\n5.56592249\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n21.45620725\n9.47275376\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.68520093\n0.99319238\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.33336979\n0.94401148\n",
"5.12132034\n2.12132034\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n-9.46461108\n-13.67920037\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n2.45967644\n-20.23036522\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-8.79886105\n4.51330010\n",
"-7.91148452\n5.59128446\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-4.19730208\n5.67232821\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-12.87759225\n-13.47109530\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.77227988\n-6.56019928\n",
"-0.23392153\n2.97225484\n-0.43104870\n-1.60869565\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.66478357\n-6.54588344\n",
"3.02999563\n2.97756841\n0.00000000\n62.83185307\n12.00000000\n0.00000000\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n18.27145701\n3.70906825\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n20.47025001\n2.98909332\n7.70613775\n10.73973059\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n-7.65009921\n16.16023211\n-2.44505027\n13.12132034\n",
"6.00000000\n0.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.00305383\n10.34360487\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.29794178\n4.22930894\n7.12132034\n11.87867966\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.22539357\n11.85781077\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.30166480\n10.35886705\n-7.60251706\n2.77683427\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.14328948\n5.10399230\n-2.44505027\n13.12132034\n",
"1.25547565\n5.66308471\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.94782095\n14.00520465\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n-0.25336533\n-4.78226675\n7.12132034\n11.87867966\n",
"3.00000000\n3.00000000\n0.00000000\n34.55751919\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n-2.84624885\n5.46759316\n5.47345223\n13.81977503\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n10.68897165\n7.53113630\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n0.35093867\n-1.91211441\n-2.98641150\n14.45675996\n",
"-0.68651846\n2.47550559\n0.00000000\n113.09733553\n-3.79248630\n5.72516907\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n21.45620725\n9.47275376\n8.91997126\n4.61716089\n",
"-1.03647451\n1.42658477\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.68520093\n0.99319238\n",
"4.82162748\n5.49801241\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n27.05851340\n51.97892063\n7.15163435\n-1.06236893\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n2.46437349\n16.85711786\n",
"-0.23392153\n2.97225484\n-2.74742798\n62.92644626\n-9.46461108\n-13.67920037\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-13.03950800\n14.45675996\n",
"-0.23392153\n2.97225484\n9.00110848\n3.72838121\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n0.71204332\n22.87017133\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.85776291\n-4.35452145\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n-1.42571402\n1.54042994\n-8.79886105\n4.51330010\n",
"-7.91148452\n5.59128446\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-6.89851214\n-10.76376689\n",
"-0.11714132\n2.98144564\n0.00000000\n3.14159265\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-4.19730208\n5.67232821\n0.00000000\n59.69026042\n0.19880783\n1.73443854\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n6.50586975\n-5.20094030\n-14.21869523\n-5.19507893\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-12.48390557\n-13.15044734\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n6.97656268\n3.08293321\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-10.86356421\n-8.72526771\n",
"-0.23392153\n2.97225484\n-3.28820748\n2.09481920\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"3.02999563\n2.97756841\n0.00000000\n62.83185307\n9.52643502\n-3.55402881\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n12.07892896\n10.29878301\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n21.03947153\n11.95021527\n7.70613775\n10.73973059\n",
"3.00000000\n3.00000000\n3.28571429\n5.69102408\n-7.65009921\n16.16023211\n-2.44505027\n13.12132034\n",
"6.00000000\n0.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n5.87867966\n13.12132034\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.00305383\n10.34360487\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.29794178\n4.22930894\n9.49119805\n12.25403141\n",
"-0.50289106\n2.71335733\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.22539357\n11.85781077\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.14328948\n5.10399230\n-2.33210696\n12.65805103\n",
"6.00000000\n0.00000000\n0.00000000\n34.55751919\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n-2.84624885\n5.46759316\n-16.38069905\n12.25268255\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n3.21083084\n3.77723952\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n-1.92697488\n0.25711334\n-2.98641150\n14.45675996\n",
"5.12132034\n2.12132034\n0.00000000\n6.28318531\n21.45620725\n9.47275376\n8.91997126\n4.61716089\n",
"-1.03647451\n1.42658477\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-12.02350199\n-4.72944532\n",
"4.82162748\n5.49801241\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-5.40805873\n12.63624131\n"
]
} | 6AIZU
|
p01364 Two-Wheel Buggy_37808 | International Car Production Company (ICPC), one of the largest automobile manufacturers in the world, is now developing a new vehicle called "Two-Wheel Buggy". As its name suggests, the vehicle has only two wheels. Quite simply, "Two-Wheel Buggy" is made up of two wheels (the left wheel and the right wheel) and a axle (a bar connecting two wheels). The figure below shows its basic structure.
<image>
Figure 7: The basic structure of the buggy
Before making a prototype of this new vehicle, the company decided to run a computer simula- tion. The details of the simulation is as follows.
In the simulation, the buggy will move on the x-y plane. Let D be the distance from the center of the axle to the wheels. At the beginning of the simulation, the center of the axle is at (0, 0), the left wheel is at (-D, 0), and the right wheel is at (D, 0). The radii of two wheels are 1.
<image>
Figure 8: The initial position of the buggy
The movement of the buggy in the simulation is controlled by a sequence of instructions. Each instruction consists of three numbers, Lspeed, Rspeed and time. Lspeed and Rspeed indicate the rotation speed of the left and right wheels, respectively, expressed in degree par second. time indicates how many seconds these two wheels keep their rotation speed. If a speed of a wheel is positive, it will rotate in the direction that causes the buggy to move forward. Conversely, if a speed is negative, it will rotate in the opposite direction. For example, if we set Lspeed as -360, the left wheel will rotate 360-degree in one second in the direction that makes the buggy move backward. We can set Lspeed and Rspeed differently, and this makes the buggy turn left or right. Note that we can also set one of them positive and the other negative (in this case, the buggy will spin around).
<image>
Figure 9: Examples
Your job is to write a program that calculates the final position of the buggy given a instruction sequence. For simplicity, you can can assume that wheels have no width, and that they would never slip.
Input
The input consists of several datasets. Each dataset is formatted as follows.
N D
Lspeed1 Rspeed1 time1
.
.
.
Lspeedi Rspeedi timei
.
.
.
LspeedN RspeedN timeN
The first line of a dataset contains two positive integers, N and D (1 ≤ N ≤ 100, 1 ≤ D ≤ 10). N indicates the number of instructions in the dataset, and D indicates the distance between the center of axle and the wheels. The following N lines describe the instruction sequence. The i-th line contains three integers, Lspeedi, i, and timei (-360 ≤ Lspeedi, Rspeedi ≤ 360, 1 ≤ timei ), describing the i-th instruction to the buggy. You can assume that the sum of timei is at most 500.
The end of input is indicated by a line containing two zeros. This line is not part of any dataset and hence should not be processed.
Output
For each dataset, output two lines indicating the final position of the center of the axle. The first line should contain the x-coordinate, and the second line should contain the y-coordinate. The absolute error should be less than or equal to 10-3 . No extra character should appear in the output.
Example
Input
1 1
180 90 2
1 1
180 180 20
2 10
360 -360 5
-90 360 8
3 2
100 60 9
-72 -72 10
-45 -225 5
0 0
Output
3.00000
3.00000
0.00000
62.83185
12.00000
0.00000
-2.44505
13.12132 | import java.util.*;
import static java.lang.Math.*;
public class Main {
class Point{
double x, y;
Point(double _x, double _y){ this.x = _x; this.y = _y; }
Point(){ new Point(0,0); }
double abs(){ return hypot(this.x,this.y); }
Point rot(double th){
return new Point(x*cos(th)-y*sin(th),x*sin(th) + y*cos(th));
}
Point rotAt(Point a, double th){
Point t = this.sub(a);
t = t.rot(th);
return t.add(a);
}
Point sub(Point a){
return new Point(this.x-a.x, this.y-a.y);
}
Point add(Point a){
return new Point(this.x+a.x, this.y+a.y);
}
Point multi(double a){
return new Point(a*this.x, a*this.y);
}
Point div(double a){
return new Point(this.x/a, this.y/a);
}
}
Point left, right;
void run(){
Scanner in = new Scanner(System.in);
for(;;){
int N = in.nextInt();
double D = in.nextDouble();
if(N==0 && D==0) return;
left = new Point(-D,0);
right = new Point(D,0);
for(int i=0; i<N; i++){
double lv= in.nextDouble(),
rv = in.nextDouble(),
time = in.nextDouble();
proc(lv*PI/180*time,rv*PI/180*time);
}
Point center = right.add(left).div(2.0);
System.out.printf("%.7f\n%.7f\n",center.x+1e-9, center.y+1e-9);
}
}
void proc(double lv, double rv){
if(lv == rv){
Point v = right.sub(left).rot(PI/2.0);
v = v.multi(lv/v.abs());
left = left.add(v);
right = right.add(v);
return ;
}
Point center = left.multi(-rv).add(right.multi(lv)).div(lv-rv);
boolean leftIsNear = left.sub(center).abs() < right.sub(center).abs();
if(lv!=0)left = left.rotAt(center, (lv*rv<0?-1:leftIsNear?1:-1)*lv/center.sub(left).abs());
if(rv!=0)right = right.rotAt(center, (lv*rv<0?1:leftIsNear?1:-1)*rv/center.sub(right).abs());
return;
}
public static void main(String args[]){
new Main().run();
}
} | 4JAVA
| {
"input": [
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-6 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 2\n100 60 9\n-36 -39 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 20\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 36\n2 10\n91 -360 5\n-90 360 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -198 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-41 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 5\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 2\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 2\n180 253 2\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n42 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-58 -225 5\n0 0",
"1 1\n181 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 11\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-30 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 20\n2 13\n143 -360 2\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -359 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 6\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-31 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n143 -360 5\n-6 360 8\n3 2\n100 60 9\n-102 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 8\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 155 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -360 5\n-4 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 2\n3 2\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 180 11\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n97 180 20\n2 13\n143 -360 5\n-9 417 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 1\n100 60 9\n-36 -39 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 5\n-12 40 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n59 90 2\n1 1\n180 180 36\n2 10\n91 -360 5\n-90 365 8\n3 2\n100 40 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -198 5\n-12 360 8\n3 2\n000 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n18 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 125 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 169 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-72 -97 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 181 20\n2 13\n143 -966 5\n-9 360 8\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n360 -351 5\n-24 360 8\n3 2\n100 60 9\n-72 -72 18\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 81 20\n2 13\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 23\n143 -395 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -225 5\n0 0",
"1 1\n180 134 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n110 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 20\n2 2\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-36 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 3\n1 1\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -413 5\n0 0",
"1 2\n81 90 2\n1 2\n180 180 1\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n180 253 2\n1 1\n180 180 19\n2 2\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n0 360 12\n3 3\n100 60 1\n-67 -99 10\n-41 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-35 -203 5\n0 0",
"1 1\n81 90 2\n1 2\n180 180 20\n2 23\n143 -805 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 2\n180 253 2\n1 2\n180 180 19\n2 10\n694 -351 7\n-24 360 8\n3 2\n100 60 2\n-72 -72 11\n-59 -225 4\n0 0",
"1 1\n81 90 2\n1 2\n13 180 20\n2 23\n143 -966 5\n-9 360 12\n3 3\n100 60 1\n-87 -99 10\n-41 -75 5\n0 0",
"1 1\n181 90 2\n1 1\n180 180 20\n2 10\n360 -435 5\n-90 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 10\n262 -360 5\n-9 360 11\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 1\n180 180 20\n2 13\n360 -360 5\n-9 360 11\n3 2\n100 60 9\n-30 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 96 20\n2 13\n143 -360 2\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-45 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 20\n2 13\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-36 -72 15\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n180 180 20\n2 13\n143 -359 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 6\n3 2\n100 60 9\n-36 -72 3\n-45 -225 5\n0 0",
"1 1\n69 90 2\n1 1\n180 180 20\n2 10\n360 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-31 -225 5\n0 0",
"1 1\n180 90 2\n1 2\n180 106 20\n2 8\n143 -360 5\n-9 360 8\n3 2\n100 60 9\n-72 -72 10\n-40 -225 5\n0 0",
"1 1\n180 90 4\n1 2\n180 180 11\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 9\n-36 -72 10\n-45 -225 5\n0 0",
"1 1\n180 175 2\n1 2\n97 180 20\n2 13\n143 -360 5\n-9 812 8\n3 2\n100 60 9\n-36 -72 10\n-45 -335 5\n0 0",
"1 1\n180 175 2\n1 3\n180 180 20\n2 13\n143 -360 5\n-9 360 3\n3 1\n100 60 9\n-36 -16 10\n-45 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 20\n2 10\n360 -360 8\n-12 40 8\n3 2\n100 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n180 90 3\n1 1\n180 180 2\n2 10\n360 -198 5\n-12 360 8\n3 2\n000 60 9\n-72 -72 10\n-59 -225 5\n0 0",
"1 1\n18 90 2\n1 2\n180 180 20\n2 13\n143 -556 5\n-9 360 8\n3 3\n100 60 1\n-52 -72 10\n-45 -225 5\n0 0",
"1 1\n180 125 3\n1 1\n180 180 20\n2 10\n360 -351 5\n-12 360 8\n3 2\n100 60 9\n-79 -72 10\n-59 -225 5\n0 0"
],
"output": [
"3.00000\n3.00000\n0.00000\n62.83185\n12.00000\n0.00000\n-2.44505\n13.12132",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n20.47025001\n2.98909332\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n12.00000000\n0.00000000\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.98641150\n14.45675996\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.30166480\n10.35886705\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.02124995\n10.28664424\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.47345223\n13.81977503\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n7.12132034\n11.87867966\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n-3.63053828\n5.56592249\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.35663340\n-4.84605912\n-2.98641150\n14.45675996\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.47345223\n13.81977503\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n4.24532899\n13.22837580\n",
"-0.68651846\n2.47550559\n0.00000000\n62.83185307\n-3.63053828\n5.56592249\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n17.35663340\n-4.84605912\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"-0.68651846\n2.47550559\n0.00000000\n113.09733553\n-3.63053828\n5.56592249\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n21.45620725\n9.47275376\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.68520093\n0.99319238\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.33336979\n0.94401148\n",
"5.12132034\n2.12132034\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n-9.46461108\n-13.67920037\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n2.45967644\n-20.23036522\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-8.79886105\n4.51330010\n",
"-7.91148452\n5.59128446\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-4.19730208\n5.67232821\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-12.87759225\n-13.47109530\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.77227988\n-6.56019928\n",
"-0.23392153\n2.97225484\n-0.43104870\n-1.60869565\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.66478357\n-6.54588344\n",
"3.02999563\n2.97756841\n0.00000000\n62.83185307\n12.00000000\n0.00000000\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n18.27145701\n3.70906825\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n20.47025001\n2.98909332\n7.70613775\n10.73973059\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n-7.65009921\n16.16023211\n-2.44505027\n13.12132034\n",
"6.00000000\n0.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.00305383\n10.34360487\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.29794178\n4.22930894\n7.12132034\n11.87867966\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.22539357\n11.85781077\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n7.30166480\n10.35886705\n-7.60251706\n2.77683427\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.14328948\n5.10399230\n-2.44505027\n13.12132034\n",
"1.25547565\n5.66308471\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n5.94782095\n14.00520465\n7.12132034\n11.87867966\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n-0.25336533\n-4.78226675\n7.12132034\n11.87867966\n",
"3.00000000\n3.00000000\n0.00000000\n34.55751919\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n-2.84624885\n5.46759316\n5.47345223\n13.81977503\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n10.68897165\n7.53113630\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n0.35093867\n-1.91211441\n-2.98641150\n14.45675996\n",
"-0.68651846\n2.47550559\n0.00000000\n113.09733553\n-3.79248630\n5.72516907\n4.20205278\n14.30691787\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n21.45620725\n9.47275376\n8.91997126\n4.61716089\n",
"-1.03647451\n1.42658477\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-10.68520093\n0.99319238\n",
"4.82162748\n5.49801241\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-2.98641150\n14.45675996\n",
"-0.23392153\n2.97225484\n27.05851340\n51.97892063\n7.15163435\n-1.06236893\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n17.78657442\n-4.15593516\n2.46437349\n16.85711786\n",
"-0.23392153\n2.97225484\n-2.74742798\n62.92644626\n-9.46461108\n-13.67920037\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n16.98049911\n-3.23136742\n-13.03950800\n14.45675996\n",
"-0.23392153\n2.97225484\n9.00110848\n3.72838121\n1.67492151\n-9.91867526\n-7.45419177\n4.51604252\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n0.71204332\n22.87017133\n-7.45419177\n4.51604252\n",
"4.37983617\n6.37270117\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-9.85776291\n-4.35452145\n",
"-0.11714132\n2.98144564\n0.00000000\n62.83185307\n-1.42571402\n1.54042994\n-8.79886105\n4.51330010\n",
"-7.91148452\n5.59128446\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-6.89851214\n-10.76376689\n",
"-0.11714132\n2.98144564\n0.00000000\n3.14159265\n5.31808611\n-4.85491046\n-14.21869523\n-5.19507893\n",
"-4.19730208\n5.67232821\n0.00000000\n59.69026042\n0.19880783\n1.73443854\n-9.34248469\n-5.37934671\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n6.50586975\n-5.20094030\n-14.21869523\n-5.19507893\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n5.31808611\n-4.85491046\n-12.48390557\n-13.15044734\n",
"-0.23392153\n2.97225484\n0.00000000\n62.83185307\n6.97656268\n3.08293321\n-7.82639553\n-17.86839689\n",
"-2.32684875\n7.05639087\n0.00000000\n59.69026042\n-16.09771605\n5.86169674\n-10.86356421\n-8.72526771\n",
"-0.23392153\n2.97225484\n-3.28820748\n2.09481920\n5.31808611\n-4.85491046\n-7.82639553\n-17.86839689\n",
"3.02999563\n2.97756841\n0.00000000\n62.83185307\n9.52643502\n-3.55402881\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n12.07892896\n10.29878301\n-2.44505027\n13.12132034\n",
"3.00000000\n3.00000000\n0.00000000\n62.83185307\n21.03947153\n11.95021527\n7.70613775\n10.73973059\n",
"3.00000000\n3.00000000\n3.28571429\n5.69102408\n-7.65009921\n16.16023211\n-2.44505027\n13.12132034\n",
"6.00000000\n0.00000000\n0.00000000\n62.83185307\n7.02124995\n10.28664424\n5.87867966\n13.12132034\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.00305383\n10.34360487\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n7.29794178\n4.22930894\n9.49119805\n12.25403141\n",
"-0.50289106\n2.71335733\n0.00000000\n62.83185307\n17.54360710\n-5.09688903\n-2.22539357\n11.85781077\n",
"3.00000000\n3.00000000\n0.11743196\n1.34225348\n7.14328948\n5.10399230\n-2.33210696\n12.65805103\n",
"6.00000000\n0.00000000\n0.00000000\n34.55751919\n7.15163435\n-1.06236893\n-0.75000000\n18.78941916\n",
"0.27017644\n6.18805774\n-2.84624885\n5.46759316\n-16.38069905\n12.25268255\n2.00249432\n14.11431288\n",
"0.27017644\n6.18805774\n0.00000000\n62.83185307\n2.42523487\n-3.31273635\n3.21083084\n3.77723952\n",
"5.12132034\n2.12132034\n0.00000000\n62.83185307\n-1.92697488\n0.25711334\n-2.98641150\n14.45675996\n",
"5.12132034\n2.12132034\n0.00000000\n6.28318531\n21.45620725\n9.47275376\n8.91997126\n4.61716089\n",
"-1.03647451\n1.42658477\n0.00000000\n62.83185307\n7.15163435\n-1.06236893\n-12.02350199\n-4.72944532\n",
"4.82162748\n5.49801241\n0.00000000\n62.83185307\n17.78657442\n-4.15593516\n-5.40805873\n12.63624131\n"
]
} | 6AIZU
|
p01546 Sports Days 2_37809 | The University of Aizu Elementary School (Aizu University and Small) is famous as one of Japan's leading competition programmer training schools. Of course, it is essential to practice the algorithm even when attending an athletic meet. Of course you, the director of the competitive programming department, want to win this tournament as well. This time we will focus on a certain competition.
A certain competition is a traditional competition held in Aizu, large and small. There are V cones in the schoolyard. Several pairs of cones are connected by arrows drawn with white lines. The tip of the arrow is attached to only one side, and an integer is also written. The same pair of cones may be connected by multiple arrows.
The player arbitrarily selects a cone and starts moving. The movement moves from the cone where the competitor is located to the next cone by moving in that direction on the arrow. You may follow the same cone and the same arrow many times. After moving from cone to cone, the competitor can choose to move further or end the move.
The purpose of this competition is to make the score K or higher by following the arrows. As for the score, the integer value written together is added each time the arrow is followed. A player with a score of K or higher with fewer arrows passing through wins. If the number of arrows is the same, the player with the higher score wins.
Output how many arrows should be taken when the athlete makes the optimum movement according to this rule. Also, if the number of arrows that have passed through is 100 or less, output all the cones that should be passed through in order. There may be multiple optimum movements, but the result of any movement may be output. If there is no movement to make the score K or higher, output -1.
In addition, all cones are numbered from 0 to V-1, and all colors are green (meaningful).
Constraints
The input satisfies the following conditions.
* All inputs are integers
* 2 ≤ V ≤ 150
* 0 ≤ E ≤ V × V
* 0 <K ≤ 106
* 0 ≤ vi1, vi2 <V (0 <i ≤ E)
* vi1 ≠ vi2 (0 <i ≤ E)
* 0 <ci ≤ 100 (0 <i ≤ E)
* Some inputs contain i, j such that vi1 = vj1 and vi2 = vj2 (i ≠ j, 0 <i, j ≤ E).
Input
The input is given in the following format.
> V E K
> v11 v12 c1
> ...
> vi1 vi2 ci
> ...
> vE1 vE2 cE
>
here,
* V is the number of cones
* E is the number of arrows
* vi, 1 is the cone number of the starting point of the arrow i
* vi2 is the cone number at the end of the arrow i
* ci is an integer indicated by the arrow
Is.
Output
The output consists of two lines.
* 1st line Output with the number of arrows passing through when the optimum movement is performed
* 2nd line Outputs in the order of passing through the cone number to be passed, separated by blanks
There may be multiple optimum movements, but the result of any movement may be output. If the number of arrows to be passed exceeds 100, do not output the second line. If there is no optimal movement to make the score K or higher, -1 should be output on the first line and nothing should be output on the second line.
Examples
Input
3 9 89
2 0 2
1 0 3
2 0 1
2 0 3
0 1 1
0 1 2
1 2 3
0 1 1
1 0 2
Output
34
1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0
Input
2 0 1
Output
-1
Input
7 8 4000
0 1 1
1 0 1
1 2 2
2 3 2
3 4 2
5 4 3
3 5 4
5 6 5
Output
3991 | #include<iostream>
#include<vector>
#include<algorithm>
#include<set>
#include<map>
#include<unordered_map>
#include<queue>
#include<iomanip>
#include<math.h>
#include<bitset>
#include<cassert>
#include<random>
#include<time.h>
using namespace std;
using ll=long long;
using ld=long double;
using P=pair<int,int>;
#define MOD 1000000007LL
#define INF 1000000000LL
#define EPS 1e-10
#define FOR(i,n,m) for(ll i=n;i<(ll)m;i++)
#define REP(i,n) FOR(i,0,n)
#define DUMP(a) REP(d,a.size()){cout<<a[d];if(d!=a.size()-1)cout<<" ";else cout<<endl;}
#define ALL(v) v.begin(),v.end()
#define UNIQUE(v) sort(ALL(v));v.erase(unique(ALL(v)),v.end());
#define pb push_back
/* --------------------------------------- */
ll v, e, k;
ll dp[30][150][150];
void solve(ll r) {
vector<ll> tmp(v, 0);
vector<vector<ll>> back(r,vector<ll>(v, -1));
REP(i,r) {
vector<ll> ntmp(v,-1);
REP(j,v) REP(k,v) {
if(tmp[j] == -1 || dp[0][j][k] == -1) continue;
if(ntmp[k] < tmp[j] + dp[0][j][k]) {
ntmp[k] = tmp[j] + dp[0][j][k];
back[i][k] = j;
}
}
tmp = ntmp;
}
vector<ll> ans;
ll maxi = 0;
REP(i,v) maxi = max(maxi,tmp[i]);
REP(i,v) {
if(tmp[i] == maxi) {
ll pos = i;
REP(j,r) {
ans.pb(pos);
pos = back[r - 1 - j][pos];
}
ans.pb(pos);
reverse(ALL(ans));
break;
}
}
DUMP(ans);
}
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
cin >> v >> e >> k;
REP(i,30) REP(j,v) REP(k,v) dp[i][j][k] = -1;
REP(i,e) {
ll a, b, c;
cin >> a >> b >> c;
dp[0][a][b] = max(dp[0][a][b], c);
}
if(k == 0) {
cout << 0 << endl;
return 0;
}
FOR(i,1,30) REP(j,v) REP(k,v) {
dp[i][j][k] = dp[i - 1][j][k];
REP(l,v) {
if(dp[i - 1][j][l] == -1 || dp[i - 1][l][k] == -1) continue;
dp[i][j][k] = max(dp[i][j][k], dp[i - 1][j][l] + dp[i - 1][l][k]);
}
}
ll l = 0, r = INF;
while(r - l > 1) {
ll m = (l + r) / 2;
bitset<30> bit(m);
vector<ll> dp2(v, 0);
REP(i,30) {
if(!bit[i]) continue;
vector<ll> tmp(v, 0);
REP(j,v) REP(k,v) {
if(dp[i][j][k] == -1) continue;
tmp[k] = max(tmp[k], dp2[j] + dp[i][j][k]);
}
dp2 = tmp;
}
ll maxi = 0;
REP(i,v) maxi = max(maxi, dp2[i]);
if(maxi >= k) r = m;
else l = m;
}
if(r == INF) {
cout << -1 << endl;
}
cout << r << endl;
if(r <= 100) solve(r);
return 0;
}
/* --------------------------------------- */
| 2C++
| {
"input": [
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 4\n5 6 5",
"2 0 1",
"3 9 89\n2 0 2\n1 0 3\n2 0 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 2",
"2 0 2",
"3 9 89\n2 0 2\n1 0 3\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 2",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 4\n3 6 5",
"3 9 89\n2 0 2\n1 0 5\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 6 5",
"3 9 89\n2 -1 1\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n6 5 4\n3 6 5",
"9 8 5093\n0 1 1\n1 0 1\n1 2 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 5 0\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n0 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 4 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"3 9 4\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 4 7\n6 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 1069\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 9\n6 0 5",
"6 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 3\n3 6 5",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n6 5 8\n3 6 5",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 3\n4 5 4\n3 0 5",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 3\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"9 6 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n0 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 9\n6 0 5",
"6 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 6 3\n3 5 3\n3 6 5",
"11 8 4000\n0 1 1\n1 0 1\n0 2 2\n2 0 2\n3 5 2\n5 4 3\n3 5 4\n3 6 5",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 2\n4 5 4\n3 0 5",
"3 9 89\n2 -1 0\n2 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n2 2 3\n0 1 1\n1 -1 2",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 3\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"9 6 2261\n0 1 1\n1 0 1\n1 4 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n0 1 2\n5 3 1\n0 2 7\n6 0 5",
"7 8 4000\n1 1 0\n1 0 1\n1 2 2\n2 3 2\n3 1 2\n5 3 6\n3 5 4\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n4 3 0\n3 5 2\n5 3 3\n3 5 0\n4 0 5",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 6\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"4 9 53\n0 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"9 8 4000\n0 1 0\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 0\n4 5 4\n3 0 5",
"9 8 4000\n0 2 1\n0 0 1\n2 3 0\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 10",
"6 7 2261\n0 2 1\n1 0 1\n1 3 0\n2 3 2\n1 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n3 2 13\n6 0 1",
"9 8 4000\n0 1 1\n1 0 1\n1 4 0\n4 3 0\n3 5 2\n6 3 3\n3 5 0\n4 0 5",
"9 8 2261\n1 0 1\n1 0 0\n1 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 5",
"6 8 2261\n0 1 1\n1 1 1\n1 2 0\n2 0 6\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n0 2 13\n6 0 1",
"9 8 3295\n0 2 1\n0 0 1\n2 3 1\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 10",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n0 1 13\n6 0 1",
"9 15 2261\n1 0 1\n1 0 0\n1 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 7",
"9 8 3295\n0 2 1\n0 0 2\n2 3 1\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 0",
"6 10 2261\n0 2 1\n1 0 2\n0 3 0\n2 3 2\n1 5 2\n5 3 3\n3 2 5\n3 0 5",
"9 15 2261\n1 0 1\n1 0 0\n0 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 7",
"6 10 2261\n0 2 0\n1 0 2\n0 3 0\n2 6 2\n1 5 0\n5 3 3\n3 2 5\n3 0 5",
"9 8 4000\n0 1 0\n1 1 0\n1 4 -1\n4 1 0\n1 4 0\n6 3 3\n3 5 0\n4 0 5",
"2 -1 2",
"3 9 89\n2 0 2\n1 0 3\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"0 -1 2",
"4 0 2",
"3 0 2",
"2 0 4",
"0 -2 2",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 4 3\n3 5 4\n3 6 5",
"4 -1 2",
"3 9 89\n2 0 2\n1 0 5\n2 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"8 -1 2",
"3 9 89\n2 0 2\n1 0 5\n1 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"8 -1 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"11 -1 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"9 8 4000\n0 1 1\n1 0 1\n1 2 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"11 0 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"3 0 1",
"3 9 89\n2 -1 1\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"5 9 89\n2 -1 0\n1 0 5\n0 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 1069\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 4\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 0 1\n1 -1 2",
"5 1 16\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 0 1\n1 -1 2",
"5 1 16\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 1\n1 0 4\n0 0 1\n1 -1 2"
],
"output": [
"3991",
"-1",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0",
"-1\n",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0\n",
"3993\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1333\n",
"753\n",
"503\n",
"237\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1000\n",
"1455\n",
"1599\n",
"1200\n",
"2261\n",
"1\n1 0\n",
"502\n",
"796\n",
"1065\n",
"195\n",
"3994\n",
"750\n",
"1499\n",
"453\n",
"1694\n",
"710\n",
"7\n3 2 3 2 3 2 3 2\n",
"3996\n",
"2000\n",
"1500\n",
"25\n2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0\n",
"348\n",
"2258\n",
"707\n",
"800\n",
"1600\n",
"283\n",
"11\n1 0 1 0 1 0 1 0 1 0 1 0\n",
"1714\n",
"922\n",
"754\n",
"5\n3 2 3 2 3 2\n",
"1999\n",
"903\n",
"900\n",
"9\n0 2 3 1 0 2 3 1 0 2\n",
"760\n",
"5\n0 1 0 1 0 1\n",
"645\n",
"942\n",
"646\n",
"847\n",
"904\n",
"2398\n",
"-1\n",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"3993\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"237\n",
"237\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p01546 Sports Days 2_37810 | The University of Aizu Elementary School (Aizu University and Small) is famous as one of Japan's leading competition programmer training schools. Of course, it is essential to practice the algorithm even when attending an athletic meet. Of course you, the director of the competitive programming department, want to win this tournament as well. This time we will focus on a certain competition.
A certain competition is a traditional competition held in Aizu, large and small. There are V cones in the schoolyard. Several pairs of cones are connected by arrows drawn with white lines. The tip of the arrow is attached to only one side, and an integer is also written. The same pair of cones may be connected by multiple arrows.
The player arbitrarily selects a cone and starts moving. The movement moves from the cone where the competitor is located to the next cone by moving in that direction on the arrow. You may follow the same cone and the same arrow many times. After moving from cone to cone, the competitor can choose to move further or end the move.
The purpose of this competition is to make the score K or higher by following the arrows. As for the score, the integer value written together is added each time the arrow is followed. A player with a score of K or higher with fewer arrows passing through wins. If the number of arrows is the same, the player with the higher score wins.
Output how many arrows should be taken when the athlete makes the optimum movement according to this rule. Also, if the number of arrows that have passed through is 100 or less, output all the cones that should be passed through in order. There may be multiple optimum movements, but the result of any movement may be output. If there is no movement to make the score K or higher, output -1.
In addition, all cones are numbered from 0 to V-1, and all colors are green (meaningful).
Constraints
The input satisfies the following conditions.
* All inputs are integers
* 2 ≤ V ≤ 150
* 0 ≤ E ≤ V × V
* 0 <K ≤ 106
* 0 ≤ vi1, vi2 <V (0 <i ≤ E)
* vi1 ≠ vi2 (0 <i ≤ E)
* 0 <ci ≤ 100 (0 <i ≤ E)
* Some inputs contain i, j such that vi1 = vj1 and vi2 = vj2 (i ≠ j, 0 <i, j ≤ E).
Input
The input is given in the following format.
> V E K
> v11 v12 c1
> ...
> vi1 vi2 ci
> ...
> vE1 vE2 cE
>
here,
* V is the number of cones
* E is the number of arrows
* vi, 1 is the cone number of the starting point of the arrow i
* vi2 is the cone number at the end of the arrow i
* ci is an integer indicated by the arrow
Is.
Output
The output consists of two lines.
* 1st line Output with the number of arrows passing through when the optimum movement is performed
* 2nd line Outputs in the order of passing through the cone number to be passed, separated by blanks
There may be multiple optimum movements, but the result of any movement may be output. If the number of arrows to be passed exceeds 100, do not output the second line. If there is no optimal movement to make the score K or higher, -1 should be output on the first line and nothing should be output on the second line.
Examples
Input
3 9 89
2 0 2
1 0 3
2 0 1
2 0 3
0 1 1
0 1 2
1 2 3
0 1 1
1 0 2
Output
34
1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0
Input
2 0 1
Output
-1
Input
7 8 4000
0 1 1
1 0 1
1 2 2
2 3 2
3 4 2
5 4 3
3 5 4
5 6 5
Output
3991 | from heapq import heappush, heappop, heapify
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def solve():
N, M, K = map(int, readline().split())
INF = 10**18
E = [[-INF]*N for i in range(N)]
for i in range(M):
a, b, c = map(int, readline().split())
E[a][b] = max(E[a][b], c)
G = [[] for i in range(N)]
for v in range(N):
for w in range(N):
if E[v][w] >= 0:
G[v].append((w, E[v][w]))
T = 100
dist = [[0]*(T+1) for i in range(N)]
prv = [[None]*(T+1) for i in range(N)]
que = []
for i in range(N):
que.append((0, i, 0))
t0 = T+1
while que:
cost, v, t = heappop(que)
cost = -cost
if cost >= K and t < t0:
t0 = t
if cost < dist[v][t] or t == T:
continue
for w, d in G[v]:
if dist[w][t+1] < cost + d:
dist[w][t+1] = cost + d
prv[w][t+1] = v
heappush(que, (-(cost + d), w, t+1))
if t0 != T+1:
v0 = 0; d = 0
for v in range(N):
e = dist[v][t0]
if d < e:
d = e
v0 = v
res = [v0]
v = v0; t = t0
while t > 0:
v = prv[v][t]; t -= 1
res.append(v)
res.reverse()
write("%d\n" % t0)
write(" ".join(map(str, res)))
write("\n")
return
for v in range(N):
E[v][v] = 0
E2 = [[-INF]*N for i in range(N)]
A = (K-1).bit_length()
RS = [E]
for k in range(A):
F = [[-INF]*N for i in range(N)]
for v in range(N):
for w in range(N):
E2[w][v] = E[v][w]
ok = 0
for i in range(N):
Ei = E[i]
for j in range(N):
Ej = E2[j]
F[i][j] = r = max((a+b for a, b in zip(Ei, Ej) if a >= 0 and b >= 0), default = -INF)
if r >= K:
ok = 1
RS.append(F)
E = F
if ok:
A = k
break
D = [0]*N
ans = 0
for i in range(A, -1, -1):
E = RS[i]
D0 = [0]*N
ok = 0
for v in range(N):
D0[v] = r = max((a + e[v] for a, e in zip(D, E) if e[v]), default = -INF)
if r >= K:
ok = 1
if not ok:
ans += 1 << i
D = D0
ans += 1
if ans > K:
write("-1\n")
else:
write("%d\n" % ans)
solve()
| 3Python3
| {
"input": [
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 4\n5 6 5",
"2 0 1",
"3 9 89\n2 0 2\n1 0 3\n2 0 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 2",
"2 0 2",
"3 9 89\n2 0 2\n1 0 3\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 2",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 4\n3 6 5",
"3 9 89\n2 0 2\n1 0 5\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 6 5",
"3 9 89\n2 -1 1\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n6 5 4\n3 6 5",
"9 8 5093\n0 1 1\n1 0 1\n1 2 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 5 0\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n0 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 4 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"3 9 4\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 4 7\n6 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 1069\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 9\n6 0 5",
"6 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 3\n3 6 5",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n6 5 8\n3 6 5",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 3\n4 5 4\n3 0 5",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 3\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"9 6 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n0 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 9\n6 0 5",
"6 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 6 3\n3 5 3\n3 6 5",
"11 8 4000\n0 1 1\n1 0 1\n0 2 2\n2 0 2\n3 5 2\n5 4 3\n3 5 4\n3 6 5",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 2\n4 5 4\n3 0 5",
"3 9 89\n2 -1 0\n2 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n2 2 3\n0 1 1\n1 -1 2",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 3\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"9 6 2261\n0 1 1\n1 0 1\n1 4 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n0 1 2\n5 3 1\n0 2 7\n6 0 5",
"7 8 4000\n1 1 0\n1 0 1\n1 2 2\n2 3 2\n3 1 2\n5 3 6\n3 5 4\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n4 3 0\n3 5 2\n5 3 3\n3 5 0\n4 0 5",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 6\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"4 9 53\n0 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"9 8 4000\n0 1 0\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 0\n4 5 4\n3 0 5",
"9 8 4000\n0 2 1\n0 0 1\n2 3 0\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 10",
"6 7 2261\n0 2 1\n1 0 1\n1 3 0\n2 3 2\n1 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n3 2 13\n6 0 1",
"9 8 4000\n0 1 1\n1 0 1\n1 4 0\n4 3 0\n3 5 2\n6 3 3\n3 5 0\n4 0 5",
"9 8 2261\n1 0 1\n1 0 0\n1 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 5",
"6 8 2261\n0 1 1\n1 1 1\n1 2 0\n2 0 6\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n0 2 13\n6 0 1",
"9 8 3295\n0 2 1\n0 0 1\n2 3 1\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 10",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n0 1 13\n6 0 1",
"9 15 2261\n1 0 1\n1 0 0\n1 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 7",
"9 8 3295\n0 2 1\n0 0 2\n2 3 1\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 0",
"6 10 2261\n0 2 1\n1 0 2\n0 3 0\n2 3 2\n1 5 2\n5 3 3\n3 2 5\n3 0 5",
"9 15 2261\n1 0 1\n1 0 0\n0 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 7",
"6 10 2261\n0 2 0\n1 0 2\n0 3 0\n2 6 2\n1 5 0\n5 3 3\n3 2 5\n3 0 5",
"9 8 4000\n0 1 0\n1 1 0\n1 4 -1\n4 1 0\n1 4 0\n6 3 3\n3 5 0\n4 0 5",
"2 -1 2",
"3 9 89\n2 0 2\n1 0 3\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"0 -1 2",
"4 0 2",
"3 0 2",
"2 0 4",
"0 -2 2",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 4 3\n3 5 4\n3 6 5",
"4 -1 2",
"3 9 89\n2 0 2\n1 0 5\n2 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"8 -1 2",
"3 9 89\n2 0 2\n1 0 5\n1 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"8 -1 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"11 -1 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"9 8 4000\n0 1 1\n1 0 1\n1 2 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"11 0 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"3 0 1",
"3 9 89\n2 -1 1\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"5 9 89\n2 -1 0\n1 0 5\n0 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 1069\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 4\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 0 1\n1 -1 2",
"5 1 16\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 0 1\n1 -1 2",
"5 1 16\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 1\n1 0 4\n0 0 1\n1 -1 2"
],
"output": [
"3991",
"-1",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0",
"-1\n",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0\n",
"3993\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1333\n",
"753\n",
"503\n",
"237\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1000\n",
"1455\n",
"1599\n",
"1200\n",
"2261\n",
"1\n1 0\n",
"502\n",
"796\n",
"1065\n",
"195\n",
"3994\n",
"750\n",
"1499\n",
"453\n",
"1694\n",
"710\n",
"7\n3 2 3 2 3 2 3 2\n",
"3996\n",
"2000\n",
"1500\n",
"25\n2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0\n",
"348\n",
"2258\n",
"707\n",
"800\n",
"1600\n",
"283\n",
"11\n1 0 1 0 1 0 1 0 1 0 1 0\n",
"1714\n",
"922\n",
"754\n",
"5\n3 2 3 2 3 2\n",
"1999\n",
"903\n",
"900\n",
"9\n0 2 3 1 0 2 3 1 0 2\n",
"760\n",
"5\n0 1 0 1 0 1\n",
"645\n",
"942\n",
"646\n",
"847\n",
"904\n",
"2398\n",
"-1\n",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"3993\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"237\n",
"237\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p01546 Sports Days 2_37811 | The University of Aizu Elementary School (Aizu University and Small) is famous as one of Japan's leading competition programmer training schools. Of course, it is essential to practice the algorithm even when attending an athletic meet. Of course you, the director of the competitive programming department, want to win this tournament as well. This time we will focus on a certain competition.
A certain competition is a traditional competition held in Aizu, large and small. There are V cones in the schoolyard. Several pairs of cones are connected by arrows drawn with white lines. The tip of the arrow is attached to only one side, and an integer is also written. The same pair of cones may be connected by multiple arrows.
The player arbitrarily selects a cone and starts moving. The movement moves from the cone where the competitor is located to the next cone by moving in that direction on the arrow. You may follow the same cone and the same arrow many times. After moving from cone to cone, the competitor can choose to move further or end the move.
The purpose of this competition is to make the score K or higher by following the arrows. As for the score, the integer value written together is added each time the arrow is followed. A player with a score of K or higher with fewer arrows passing through wins. If the number of arrows is the same, the player with the higher score wins.
Output how many arrows should be taken when the athlete makes the optimum movement according to this rule. Also, if the number of arrows that have passed through is 100 or less, output all the cones that should be passed through in order. There may be multiple optimum movements, but the result of any movement may be output. If there is no movement to make the score K or higher, output -1.
In addition, all cones are numbered from 0 to V-1, and all colors are green (meaningful).
Constraints
The input satisfies the following conditions.
* All inputs are integers
* 2 ≤ V ≤ 150
* 0 ≤ E ≤ V × V
* 0 <K ≤ 106
* 0 ≤ vi1, vi2 <V (0 <i ≤ E)
* vi1 ≠ vi2 (0 <i ≤ E)
* 0 <ci ≤ 100 (0 <i ≤ E)
* Some inputs contain i, j such that vi1 = vj1 and vi2 = vj2 (i ≠ j, 0 <i, j ≤ E).
Input
The input is given in the following format.
> V E K
> v11 v12 c1
> ...
> vi1 vi2 ci
> ...
> vE1 vE2 cE
>
here,
* V is the number of cones
* E is the number of arrows
* vi, 1 is the cone number of the starting point of the arrow i
* vi2 is the cone number at the end of the arrow i
* ci is an integer indicated by the arrow
Is.
Output
The output consists of two lines.
* 1st line Output with the number of arrows passing through when the optimum movement is performed
* 2nd line Outputs in the order of passing through the cone number to be passed, separated by blanks
There may be multiple optimum movements, but the result of any movement may be output. If the number of arrows to be passed exceeds 100, do not output the second line. If there is no optimal movement to make the score K or higher, -1 should be output on the first line and nothing should be output on the second line.
Examples
Input
3 9 89
2 0 2
1 0 3
2 0 1
2 0 3
0 1 1
0 1 2
1 2 3
0 1 1
1 0 2
Output
34
1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0
Input
2 0 1
Output
-1
Input
7 8 4000
0 1 1
1 0 1
1 2 2
2 3 2
3 4 2
5 4 3
3 5 4
5 6 5
Output
3991 | import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
public class Main{
static InputStream is;
static PrintWriter out;
static String INPUT = "";
public static void main(String[] args) throws Exception {
new Main().run();
}
@SuppressWarnings("unchecked")
void solver() {
int V = ni();
int E = ni();
int K = ni();
ArrayList<Edge>[] g = new ArrayList[V];
for (int i = 0; i < V; ++i)
g[i] = new ArrayList<>();
for (int i = 0; i < E; ++i) {
int src = ni();
int dst = ni();
int c = ni();
g[src].add(new Edge(src, dst, c));
}
int[][][] score = new int[20][V][V];
for (ArrayList<Edge> lis : g) {
for (Edge e : lis) {
score[0][e.src][e.dst] = Math.max(score[0][e.src][e.dst], e.c);
}
}
// 21*150*150*150=7*10^7
for (int i = 1; i < 20; ++i) {
for (int from = 0; from < V; ++from) {
for (int to = 0; to < V; ++to) {
for (int med = 0; med < V; ++med) {
if (score[i - 1][from][med] != 0 && score[i - 1][med][to] != 0)
score[i][from][to] = Math.max(score[i][from][to],
score[i - 1][from][med] + score[i - 1][med][to]);
score[i][from][to] = Math.max(score[i][from][to], score[0][from][to]);
}
}
}
}
// 150*20*150=
int[] cur = new int[V];
int sum = 0;
boolean ok = false;
outer: for (int i = 19; i >= 0; --i) {
for (int dst = 0; dst < V; ++dst) {
for (int med = 0; med < V; ++med) {
if (cur[med] + score[i][med][dst] >= K) {
ok = true;
continue outer;
}
}
}
int[] next = new int[V];
for (int dst = 0; dst < V; ++dst) {
for (int med = 0; med < V; ++med) {
if (score[i][med][dst] != 0)
next[dst] = Math.max(next[dst], cur[med] + score[i][med][dst]);
}
next[dst]=Math.max(next[dst], cur[dst]);
}
cur = Arrays.copyOf(next, V);
sum += 1 << i;
}
if (ok) {
System.out.println(++sum);
if (sum <= 100) {
int[][] track = new int[sum][V];
int[][] max = new int[sum][V];
for (int i = 0; i < sum; i++) {
for (ArrayList<Edge> lis : g) {
for (Edge e : lis) {
int nc = e.c;
if (i != 0) {
if (max[i - 1][e.src] == 0)
continue;
nc += max[i - 1][e.src];
}
if (max[i][e.dst] < nc) {
track[i][e.dst] = e.src;
max[i][e.dst] = nc;
}
}
}
}
int m = 0;
int v = -1;
for (int i = 0; i < V; ++i) {
if (max[sum - 1][i] > m) {
m = max[sum - 1][i];
v = i;
}
}
ArrayDeque<Integer> stack = new ArrayDeque<>();
stack.addFirst(v);
for (int i = sum - 1; i >= 0; --i) {
stack.addFirst(track[i][v]);
v = track[i][v];
}
for (int i = 0; i <= sum; i++) {
System.out.print(stack.pollFirst() + (i != sum ? " " : "\n"));
}
}
} else
System.out.println(-1);
}
class Edge {
int src;
int dst;
int c;
public Edge(int src, int dst, int c) {
this.src = src;
this.dst = dst;
this.c = c;
}
}
void run() {
is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
out = new PrintWriter(System.out);
solver();
out.flush();
}
static long nl() {
try {
long num = 0;
boolean minus = false;
while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-'))
;
if (num == '-') {
num = 0;
minus = true;
} else {
num -= '0';
}
while (true) {
int b = is.read();
if (b >= '0' && b <= '9') {
num = num * 10 + (b - '0');
} else {
return minus ? -num : num;
}
}
} catch (IOException e) {
}
return -1;
}
static char nc() {
try {
int b = skip();
if (b == -1)
return 0;
return (char) b;
} catch (IOException e) {
}
return 0;
}
static double nd() {
try {
return Double.parseDouble(ns());
} catch (Exception e) {
}
return 0;
}
static String ns() {
try {
int b = skip();
StringBuilder sb = new StringBuilder();
if (b == -1)
return "";
sb.append((char) b);
while (true) {
b = is.read();
if (b == -1)
return sb.toString();
if (b <= ' ')
return sb.toString();
sb.append((char) b);
}
} catch (IOException e) {
}
return "";
}
public static char[] ns(int n) {
char[] buf = new char[n];
try {
int b = skip(), p = 0;
if (b == -1)
return null;
buf[p++] = (char) b;
while (p < n) {
b = is.read();
if (b == -1 || b <= ' ')
break;
buf[p++] = (char) b;
}
return Arrays.copyOf(buf, p);
} catch (IOException e) {
}
return null;
}
public static byte[] nse(int n) {
byte[] buf = new byte[n];
try {
int b = skip();
if (b == -1)
return null;
is.read(buf);
return buf;
} catch (IOException e) {
}
return null;
}
static int skip() throws IOException {
int b;
while ((b = is.read()) != -1 && !(b >= 33 && b <= 126))
;
return b;
}
static boolean eof() {
try {
is.mark(1000);
int b = skip();
is.reset();
return b == -1;
} catch (IOException e) {
return true;
}
}
static int ni() {
try {
int num = 0;
boolean minus = false;
while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-'))
;
if (num == '-') {
num = 0;
minus = true;
} else {
num -= '0';
}
while (true) {
int b = is.read();
if (b >= '0' && b <= '9') {
num = num * 10 + (b - '0');
} else {
return minus ? -num : num;
}
}
} catch (IOException e) {
}
return -1;
}
static void tr(Object... o) {
System.out.println(Arrays.deepToString(o));
}
} | 4JAVA
| {
"input": [
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 4\n5 6 5",
"2 0 1",
"3 9 89\n2 0 2\n1 0 3\n2 0 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 2",
"2 0 2",
"3 9 89\n2 0 2\n1 0 3\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 2",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 4\n3 6 5",
"3 9 89\n2 0 2\n1 0 5\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 6 5",
"3 9 89\n2 -1 1\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n6 5 4\n3 6 5",
"9 8 5093\n0 1 1\n1 0 1\n1 2 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 5 0\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n0 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 4 2261\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 2 4\n3 0 5",
"3 9 4\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 4 7\n6 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 1069\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 9\n6 0 5",
"6 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 4 3\n3 5 3\n3 6 5",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n6 5 8\n3 6 5",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 3\n4 5 4\n3 0 5",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 3\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"9 6 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n0 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 9\n6 0 5",
"6 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 4 2\n5 6 3\n3 5 3\n3 6 5",
"11 8 4000\n0 1 1\n1 0 1\n0 2 2\n2 0 2\n3 5 2\n5 4 3\n3 5 4\n3 6 5",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 2\n4 5 4\n3 0 5",
"3 9 89\n2 -1 0\n2 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n2 2 3\n0 1 1\n1 -1 2",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 3\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"9 6 2261\n0 1 1\n1 0 1\n1 4 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n2 0 5",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 4 2\n0 1 2\n5 3 1\n0 2 7\n6 0 5",
"7 8 4000\n1 1 0\n1 0 1\n1 2 2\n2 3 2\n3 1 2\n5 3 6\n3 5 4\n3 0 5",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n4 3 0\n3 5 2\n5 3 3\n3 5 0\n4 0 5",
"6 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 6\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"4 9 53\n0 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"9 8 4000\n0 1 0\n1 0 1\n1 2 2\n1 3 2\n3 5 2\n5 3 0\n4 5 4\n3 0 5",
"9 8 4000\n0 2 1\n0 0 1\n2 3 0\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 10",
"6 7 2261\n0 2 1\n1 0 1\n1 3 0\n2 3 2\n1 5 2\n5 3 3\n3 2 4\n3 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n3 2 13\n6 0 1",
"9 8 4000\n0 1 1\n1 0 1\n1 4 0\n4 3 0\n3 5 2\n6 3 3\n3 5 0\n4 0 5",
"9 8 2261\n1 0 1\n1 0 0\n1 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 5",
"6 8 2261\n0 1 1\n1 1 1\n1 2 0\n2 0 6\n3 5 2\n5 3 3\n3 2 10\n3 0 5",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n0 2 13\n6 0 1",
"9 8 3295\n0 2 1\n0 0 1\n2 3 1\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 10",
"9 8 37\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 0 1\n0 1 13\n6 0 1",
"9 15 2261\n1 0 1\n1 0 0\n1 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 7",
"9 8 3295\n0 2 1\n0 0 2\n2 3 1\n2 3 2\n3 3 2\n5 3 3\n3 5 4\n3 0 0",
"6 10 2261\n0 2 1\n1 0 2\n0 3 0\n2 3 2\n1 5 2\n5 3 3\n3 2 5\n3 0 5",
"9 15 2261\n1 0 1\n1 0 0\n0 3 0\n3 3 2\n3 5 2\n5 3 2\n3 2 7\n3 1 7",
"6 10 2261\n0 2 0\n1 0 2\n0 3 0\n2 6 2\n1 5 0\n5 3 3\n3 2 5\n3 0 5",
"9 8 4000\n0 1 0\n1 1 0\n1 4 -1\n4 1 0\n1 4 0\n6 3 3\n3 5 0\n4 0 5",
"2 -1 2",
"3 9 89\n2 0 2\n1 0 3\n2 1 1\n2 0 3\n0 1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"0 -1 2",
"4 0 2",
"3 0 2",
"2 0 4",
"0 -2 2",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 4 3\n3 5 4\n3 6 5",
"4 -1 2",
"3 9 89\n2 0 2\n1 0 5\n2 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"8 -1 2",
"3 9 89\n2 0 2\n1 0 5\n1 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"7 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"8 -1 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 0 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"9 8 4000\n0 1 1\n1 0 1\n1 2 2\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"11 -1 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 0 0",
"9 8 4000\n0 1 1\n1 0 1\n1 2 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"11 0 1",
"3 9 89\n2 -1 2\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 1\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"3 0 1",
"3 9 89\n2 -1 1\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 1 2\n1 2 3\n0 1 1\n1 -1 0",
"9 8 4000\n0 1 1\n1 0 1\n1 3 0\n2 3 2\n3 5 2\n5 3 3\n3 5 4\n3 0 5",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -1 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 0",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 1\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n3 0 5",
"3 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 5 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 2 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 2261\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 3\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 5\n1 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"5 9 89\n2 -1 0\n1 0 5\n0 1 1\n2 0 3\n0 -2 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"9 8 1069\n0 1 1\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"9 8 1069\n0 1 0\n1 0 1\n1 2 0\n2 3 2\n3 1 2\n5 3 1\n3 2 7\n6 0 5",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 1",
"5 9 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 3\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 2 4\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 1 1\n1 -1 2",
"5 1 89\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 0 1\n1 -1 2",
"5 1 16\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 2\n1 0 4\n0 0 1\n1 -1 2",
"5 1 16\n2 -1 0\n1 0 8\n0 1 1\n2 0 3\n0 0 2\n0 3 1\n1 0 4\n0 0 1\n1 -1 2"
],
"output": [
"3991",
"-1",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0",
"-1\n",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0\n",
"3993\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1333\n",
"753\n",
"503\n",
"237\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1000\n",
"1455\n",
"1599\n",
"1200\n",
"2261\n",
"1\n1 0\n",
"502\n",
"796\n",
"1065\n",
"195\n",
"3994\n",
"750\n",
"1499\n",
"453\n",
"1694\n",
"710\n",
"7\n3 2 3 2 3 2 3 2\n",
"3996\n",
"2000\n",
"1500\n",
"25\n2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0\n",
"348\n",
"2258\n",
"707\n",
"800\n",
"1600\n",
"283\n",
"11\n1 0 1 0 1 0 1 0 1 0 1 0\n",
"1714\n",
"922\n",
"754\n",
"5\n3 2 3 2 3 2\n",
"1999\n",
"903\n",
"900\n",
"9\n0 2 3 1 0 2 3 1 0 2\n",
"760\n",
"5\n0 1 0 1 0 1\n",
"645\n",
"942\n",
"646\n",
"847\n",
"904\n",
"2398\n",
"-1\n",
"34\n1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"3993\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"-1\n",
"25\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"1143\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"503\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"29\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"237\n",
"237\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"19\n1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p01702 Unknown Switches_37812 | Problem Statement
In the headquarter building of ICPC (International Company of Plugs & Connectors), there are $M$ light bulbs and they are controlled by $N$ switches. Each light bulb can be turned on or off by exactly one switch. Each switch may control multiple light bulbs. When you operate a switch, all the light bulbs controlled by the switch change their states. You lost the table that recorded the correspondence between the switches and the light bulbs, and want to restore it.
You decided to restore the correspondence by the following procedure.
* At first, every switch is off and every light bulb is off.
* You operate some switches represented by $S_1$.
* You check the states of the light bulbs represented by $B_1$.
* You operate some switches represented by $S_2$.
* You check the states of the light bulbs represented by $B_2$.
* ...
* You operate some switches represented by $S_Q$.
* You check the states of the light bulbs represented by $B_Q$.
After you operate some switches and check the states of the light bulbs, the states of the switches and the light bulbs are kept for next operations.
Can you restore the correspondence between the switches and the light bulbs using the information about the switches you have operated and the states of the light bulbs you have checked?
Input
The input consists of multiple datasets. The number of dataset is no more than $50$ and the file size is no more than $10\mathrm{MB}$. Each dataset is formatted as follows.
> $N$ $M$ $Q$
> $S_1$ $B_1$
> :
> :
> $S_Q$ $B_Q$
The first line of each dataset contains three integers $N$ ($1 \le N \le 36$), $M$ ($1 \le M \le 1{,}000$), $Q$ ($0 \le Q \le 1{,}000$), which denote the number of switches, the number of light bulbs and the number of operations respectively. The following $Q$ lines describe the information about the switches you have operated and the states of the light bulbs you have checked. The $i$-th of them contains two strings $S_i$ and $B_i$ of lengths $N$ and $M$ respectively. Each $S_i$ denotes the set of the switches you have operated: $S_{ij}$ is either $0$ or $1$, which denotes the $j$-th switch is not operated or operated respectively. Each $B_i$ denotes the states of the light bulbs: $B_{ij}$ is either $0$ or $1$, which denotes the $j$-th light bulb is off or on respectively.
You can assume that there exists a correspondence between the switches and the light bulbs which is consistent with the given information.
The end of input is indicated by a line containing three zeros.
Output
For each dataset, output the correspondence between the switches and the light bulbs consisting of $M$ numbers written in base-$36$. In the base-$36$ system for this problem, the values $0$-$9$ and $10$-$35$ are represented by the characters '0'-'9' and 'A'-'Z' respectively. The $i$-th character of the correspondence means the number of the switch controlling the $i$-th light bulb. If you cannot determine which switch controls the $i$-th light bulb, output '?' as the $i$-th character instead of the number of a switch.
Sample Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output for the Sample Input
2222221100
??
0
1
0123456789A
Example
Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output
2222221100
??
0
1
0123456789A | ref = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
while 1:
N,M,Q = map(int,raw_input().split())
if N == 0: break
corr = [set(range(N)) for _ in range(M)]
s = ["0"]*N
for loop in xrange(Q):
S,B = raw_input().split()
for i in range(N):
if S[i] == "1": s[i] = {"0":"1","1":"0"}[s[i]]
on = set([i for i in range(N) if s[i] == "1"])
off = set(range(N))-on
for i in range(M):
if B[i] == "1": corr[i] &= on
else: corr[i] &= off
ans = [ref[list(i)[0]] if len(i) == 1 else "?" for i in corr]
print "".join(ans) | 1Python2
| {
"input": [
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n2 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n4 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n1 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 1000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n01000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n1 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -2\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00000000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 5 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0010001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n0 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001000000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 3 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000100 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000111 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 01010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0100001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000001\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011000000 00001000000\n00001100000 00000101000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111110100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00000000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n0 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0"
],
"output": [
"2222221100\n??\n0\n1\n0123456789A",
"2222121100\n??\n0\n1\n0123456789A\n",
"2222221100\n??\n0\n1\n0A23456789A\n",
"2222221100\n?\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0923456789A\n",
"2222221100\n????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n01234567898\n",
"2222221210\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A234567896\n",
"2222221100\n????\n0\n1\n0423456789A\n",
"2222221210\n???\n0\n1\n0A234A6789A\n",
"2222221100\n????\n0\n1\n04234A6789A\n",
"2222221100\n????\n0\n1\n0223456789A\n",
"2222220011\n??\n0\n1\n0A23456789A\n",
"2222221200\n?\n0\n1\n0123456789A\n",
"2222221200\n?\n0\n1\n012345678AA\n",
"2222121100\n??\n0\n1\n01234567896\n",
"2222221100\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0\n1\n0A23456A89A\n",
"2222221200\n\n0\n1\n012345678AA\n",
"2222221210\n\n0\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n0A234567896\n",
"2222221200\n?\n00\n1\n012345678AA\n",
"2222121100\n???\n0\n1\n0123456789A\n",
"2222211200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n00\n1\n0923456789A\n",
"2222221200\n?\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A234A67896\n",
"2222221200\n?\n0\n1\n01234567899\n",
"2222221100\n????\n0\n1\n04234A67A9A\n",
"2222221200\n0\n00\n1\n012345678AA\n",
"2222221210\n??\n00\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n02234A67896\n",
"2222221210\n???\n?\n1\n02234A67896\n",
"2221221100\n?\n0\n1\n0123456789A\n",
"2222221100\n????\n00\n1\n0A23456A89A\n",
"2222221100\n????\n\n1\n04234A6789A\n",
"2222220011\n??\n0\n1\n0A234567899\n",
"2222221200\n??\n00\n1\n012345678AA\n",
"2221221000\n?\n0\n1\n0123456789A\n",
"2221221000\n?\n0\n1\n012345A789A\n",
"2222221100\n????\n0\n0\n04234A6789A\n",
"2222221100\n??\n0\n1\n0A234567899\n",
"2222221210\n???\n00\n1\n0A23456789A\n",
"2222221100\n????\n00\n1\n04234A6789A\n",
"2222211200\n000\n0\n1\n0A23456789A\n",
"1222221100\n????\n0\n1\n0423436789A\n",
"2221221000\n?\n0\n1\n012345678AA\n",
"2222220001\n??\n0\n1\n0A234567899\n",
"2221221000\n0\n0\n1\n012345A789A\n",
"2222220011\n??\n0\n1\n0A234567898\n",
"2222221100\n?\n0\n1\n012A456789A\n",
"2222221100\n????\n0\n1\n04234567899\n",
"2222221200\n??????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n0123A567896\n",
"2222221101\n????\n0\n1\n0423436789A\n",
"2222221210\n???\n0\n1\n04234567896\n",
"2222221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n\n1\n04234A67A9A\n",
"2222221100\n????\n\n0\n04234A6789A\n",
"2222221100\n????\n0\n0\nA4234A6789A\n",
"2222221100\n????\n00\n1\n0423426789A\n",
"2222221100\n\n0\n1\n012A456789A\n",
"2222221200\n??????\n00\n1\n0A23456789A\n",
"2222221200\n??\n0\n1\nAA23456789A\n",
"2222220001\n??\n0\n1\n0A23456789A\n",
"2222121100\n?????\n0\n1\n0123456789A\n",
"2222221200\n0\n00\n0\n012345678AA\n",
"2221221200\n??\n00\n1\n012345678AA\n",
"2212221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n0000\n1\n0423426789A\n",
"2222221100\n????\n",
"2222221100\n???\n0\n1\n0A23456789A\n",
"2221221200\n??\n00\n1\n012345678??\n",
"2222221100\n????\n0000\n1\n04234267898\n",
"2222221100\n????\n0000\n1\n042342678?8\n",
"2222221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\nA4234A67A90\n",
"2222221200\n???\n0\n1\n03234567896\n",
"2222220011\n??\n0\n1\n0A23456A89A\n",
"2222221100\n??\n0\n1\n0A2A456789A\n",
"2222211200\n???\n0\n0\n0A23456789A\n",
"2222221200\n?\n0\n1\n0A234567899\n",
"2222221100\n????\n00\n1\n0A2A456A89A\n",
"2222221200\n??\n00\n1\n0A2345678AA\n",
"2222220001\n??\n0\n1\n0A2345A7899\n",
"2122221101\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0000\n1\n04234267894\n",
"2221221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\n64234A67A90\n",
"2222221200\n?\n\n1\n0A234567899\n",
"2222221100\n????\n\n1\n642A4A67A90\n",
"2222221100\n????\n00\n1\n0A2A456589A\n",
"2222120100\n??\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0AA3456789A\n",
"2221221210\n???\n0\n1\n0A234A6789A\n",
"2222221200\n\n0\n1\n01234A678AA\n",
"2222221210\n"
]
} | 6AIZU
|
p01702 Unknown Switches_37813 | Problem Statement
In the headquarter building of ICPC (International Company of Plugs & Connectors), there are $M$ light bulbs and they are controlled by $N$ switches. Each light bulb can be turned on or off by exactly one switch. Each switch may control multiple light bulbs. When you operate a switch, all the light bulbs controlled by the switch change their states. You lost the table that recorded the correspondence between the switches and the light bulbs, and want to restore it.
You decided to restore the correspondence by the following procedure.
* At first, every switch is off and every light bulb is off.
* You operate some switches represented by $S_1$.
* You check the states of the light bulbs represented by $B_1$.
* You operate some switches represented by $S_2$.
* You check the states of the light bulbs represented by $B_2$.
* ...
* You operate some switches represented by $S_Q$.
* You check the states of the light bulbs represented by $B_Q$.
After you operate some switches and check the states of the light bulbs, the states of the switches and the light bulbs are kept for next operations.
Can you restore the correspondence between the switches and the light bulbs using the information about the switches you have operated and the states of the light bulbs you have checked?
Input
The input consists of multiple datasets. The number of dataset is no more than $50$ and the file size is no more than $10\mathrm{MB}$. Each dataset is formatted as follows.
> $N$ $M$ $Q$
> $S_1$ $B_1$
> :
> :
> $S_Q$ $B_Q$
The first line of each dataset contains three integers $N$ ($1 \le N \le 36$), $M$ ($1 \le M \le 1{,}000$), $Q$ ($0 \le Q \le 1{,}000$), which denote the number of switches, the number of light bulbs and the number of operations respectively. The following $Q$ lines describe the information about the switches you have operated and the states of the light bulbs you have checked. The $i$-th of them contains two strings $S_i$ and $B_i$ of lengths $N$ and $M$ respectively. Each $S_i$ denotes the set of the switches you have operated: $S_{ij}$ is either $0$ or $1$, which denotes the $j$-th switch is not operated or operated respectively. Each $B_i$ denotes the states of the light bulbs: $B_{ij}$ is either $0$ or $1$, which denotes the $j$-th light bulb is off or on respectively.
You can assume that there exists a correspondence between the switches and the light bulbs which is consistent with the given information.
The end of input is indicated by a line containing three zeros.
Output
For each dataset, output the correspondence between the switches and the light bulbs consisting of $M$ numbers written in base-$36$. In the base-$36$ system for this problem, the values $0$-$9$ and $10$-$35$ are represented by the characters '0'-'9' and 'A'-'Z' respectively. The $i$-th character of the correspondence means the number of the switch controlling the $i$-th light bulb. If you cannot determine which switch controls the $i$-th light bulb, output '?' as the $i$-th character instead of the number of a switch.
Sample Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output for the Sample Input
2222221100
??
0
1
0123456789A
Example
Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output
2222221100
??
0
1
0123456789A | #include <algorithm>
#include <cmath>
#include <climits>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <fstream>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <vector>
#include <cassert>
#include <functional>
using namespace std;
#define LOG(...) printf(__VA_ARGS__)
//#define LOG(...)
#define FOR(i,a,b) for(int i=(int)(a);i<(int)(b);++i)
#define REP(i,n) for(int i=0;i<(int)(n);++i)
#define ALL(a) (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define EXIST(s,e) ((s).find(e)!=(s).end())
#define SORT(c) sort((c).begin(),(c).end())
#define RSORT(c) sort((c).rbegin(),(c).rend())
#define CLR(a) memset((a), 0 ,sizeof(a))
typedef long long ll;
typedef unsigned long long ull;
typedef vector<bool> vb;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vb> vvb;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int dx[] = { -1, 0, 1, 0 }; const int dy[] = { 0, 1, 0, -1 };
char ans_c(int c){
if (c < 10)
return '0'+c;
return 'A' + c - 10;
}
int main() {
int N, M, Q;
while (cin >> N >> M >> Q, N){
string switch_s;
string bswitch_s;
string light_s;
string blight_s;
vector<vector<bool>> vvb(M,vector<bool>(N,true));
REP(i, N)
bswitch_s.append(i,'0');
REP(i, M)
blight_s.append(i,'0');
REP(i, Q){
cin >> switch_s;
cin >> light_s;
//-----------//
REP(j, N){
REP(k, M){
if ((switch_s[j]=='0') != (light_s[k] == blight_s[k])){
vvb[k][j]=false;
}
}
}
//-----------//
bswitch_s= switch_s;
blight_s = light_s;
}
REP(i,M){
int count = 0;
int ans = 0;
REP(j, N){
if (vvb[i][j]){
count++;
ans = j;
}
}
if (count == 1)cout << ans_c(ans);
else cout << '?';
}
cout << endl;
}
} | 2C++
| {
"input": [
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n2 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n4 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n1 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 1000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n01000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n1 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -2\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00000000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 5 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0010001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n0 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001000000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 3 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000100 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000111 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 01010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0100001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000001\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011000000 00001000000\n00001100000 00000101000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111110100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00000000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n0 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0"
],
"output": [
"2222221100\n??\n0\n1\n0123456789A",
"2222121100\n??\n0\n1\n0123456789A\n",
"2222221100\n??\n0\n1\n0A23456789A\n",
"2222221100\n?\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0923456789A\n",
"2222221100\n????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n01234567898\n",
"2222221210\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A234567896\n",
"2222221100\n????\n0\n1\n0423456789A\n",
"2222221210\n???\n0\n1\n0A234A6789A\n",
"2222221100\n????\n0\n1\n04234A6789A\n",
"2222221100\n????\n0\n1\n0223456789A\n",
"2222220011\n??\n0\n1\n0A23456789A\n",
"2222221200\n?\n0\n1\n0123456789A\n",
"2222221200\n?\n0\n1\n012345678AA\n",
"2222121100\n??\n0\n1\n01234567896\n",
"2222221100\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0\n1\n0A23456A89A\n",
"2222221200\n\n0\n1\n012345678AA\n",
"2222221210\n\n0\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n0A234567896\n",
"2222221200\n?\n00\n1\n012345678AA\n",
"2222121100\n???\n0\n1\n0123456789A\n",
"2222211200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n00\n1\n0923456789A\n",
"2222221200\n?\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A234A67896\n",
"2222221200\n?\n0\n1\n01234567899\n",
"2222221100\n????\n0\n1\n04234A67A9A\n",
"2222221200\n0\n00\n1\n012345678AA\n",
"2222221210\n??\n00\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n02234A67896\n",
"2222221210\n???\n?\n1\n02234A67896\n",
"2221221100\n?\n0\n1\n0123456789A\n",
"2222221100\n????\n00\n1\n0A23456A89A\n",
"2222221100\n????\n\n1\n04234A6789A\n",
"2222220011\n??\n0\n1\n0A234567899\n",
"2222221200\n??\n00\n1\n012345678AA\n",
"2221221000\n?\n0\n1\n0123456789A\n",
"2221221000\n?\n0\n1\n012345A789A\n",
"2222221100\n????\n0\n0\n04234A6789A\n",
"2222221100\n??\n0\n1\n0A234567899\n",
"2222221210\n???\n00\n1\n0A23456789A\n",
"2222221100\n????\n00\n1\n04234A6789A\n",
"2222211200\n000\n0\n1\n0A23456789A\n",
"1222221100\n????\n0\n1\n0423436789A\n",
"2221221000\n?\n0\n1\n012345678AA\n",
"2222220001\n??\n0\n1\n0A234567899\n",
"2221221000\n0\n0\n1\n012345A789A\n",
"2222220011\n??\n0\n1\n0A234567898\n",
"2222221100\n?\n0\n1\n012A456789A\n",
"2222221100\n????\n0\n1\n04234567899\n",
"2222221200\n??????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n0123A567896\n",
"2222221101\n????\n0\n1\n0423436789A\n",
"2222221210\n???\n0\n1\n04234567896\n",
"2222221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n\n1\n04234A67A9A\n",
"2222221100\n????\n\n0\n04234A6789A\n",
"2222221100\n????\n0\n0\nA4234A6789A\n",
"2222221100\n????\n00\n1\n0423426789A\n",
"2222221100\n\n0\n1\n012A456789A\n",
"2222221200\n??????\n00\n1\n0A23456789A\n",
"2222221200\n??\n0\n1\nAA23456789A\n",
"2222220001\n??\n0\n1\n0A23456789A\n",
"2222121100\n?????\n0\n1\n0123456789A\n",
"2222221200\n0\n00\n0\n012345678AA\n",
"2221221200\n??\n00\n1\n012345678AA\n",
"2212221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n0000\n1\n0423426789A\n",
"2222221100\n????\n",
"2222221100\n???\n0\n1\n0A23456789A\n",
"2221221200\n??\n00\n1\n012345678??\n",
"2222221100\n????\n0000\n1\n04234267898\n",
"2222221100\n????\n0000\n1\n042342678?8\n",
"2222221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\nA4234A67A90\n",
"2222221200\n???\n0\n1\n03234567896\n",
"2222220011\n??\n0\n1\n0A23456A89A\n",
"2222221100\n??\n0\n1\n0A2A456789A\n",
"2222211200\n???\n0\n0\n0A23456789A\n",
"2222221200\n?\n0\n1\n0A234567899\n",
"2222221100\n????\n00\n1\n0A2A456A89A\n",
"2222221200\n??\n00\n1\n0A2345678AA\n",
"2222220001\n??\n0\n1\n0A2345A7899\n",
"2122221101\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0000\n1\n04234267894\n",
"2221221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\n64234A67A90\n",
"2222221200\n?\n\n1\n0A234567899\n",
"2222221100\n????\n\n1\n642A4A67A90\n",
"2222221100\n????\n00\n1\n0A2A456589A\n",
"2222120100\n??\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0AA3456789A\n",
"2221221210\n???\n0\n1\n0A234A6789A\n",
"2222221200\n\n0\n1\n01234A678AA\n",
"2222221210\n"
]
} | 6AIZU
|
p01702 Unknown Switches_37814 | Problem Statement
In the headquarter building of ICPC (International Company of Plugs & Connectors), there are $M$ light bulbs and they are controlled by $N$ switches. Each light bulb can be turned on or off by exactly one switch. Each switch may control multiple light bulbs. When you operate a switch, all the light bulbs controlled by the switch change their states. You lost the table that recorded the correspondence between the switches and the light bulbs, and want to restore it.
You decided to restore the correspondence by the following procedure.
* At first, every switch is off and every light bulb is off.
* You operate some switches represented by $S_1$.
* You check the states of the light bulbs represented by $B_1$.
* You operate some switches represented by $S_2$.
* You check the states of the light bulbs represented by $B_2$.
* ...
* You operate some switches represented by $S_Q$.
* You check the states of the light bulbs represented by $B_Q$.
After you operate some switches and check the states of the light bulbs, the states of the switches and the light bulbs are kept for next operations.
Can you restore the correspondence between the switches and the light bulbs using the information about the switches you have operated and the states of the light bulbs you have checked?
Input
The input consists of multiple datasets. The number of dataset is no more than $50$ and the file size is no more than $10\mathrm{MB}$. Each dataset is formatted as follows.
> $N$ $M$ $Q$
> $S_1$ $B_1$
> :
> :
> $S_Q$ $B_Q$
The first line of each dataset contains three integers $N$ ($1 \le N \le 36$), $M$ ($1 \le M \le 1{,}000$), $Q$ ($0 \le Q \le 1{,}000$), which denote the number of switches, the number of light bulbs and the number of operations respectively. The following $Q$ lines describe the information about the switches you have operated and the states of the light bulbs you have checked. The $i$-th of them contains two strings $S_i$ and $B_i$ of lengths $N$ and $M$ respectively. Each $S_i$ denotes the set of the switches you have operated: $S_{ij}$ is either $0$ or $1$, which denotes the $j$-th switch is not operated or operated respectively. Each $B_i$ denotes the states of the light bulbs: $B_{ij}$ is either $0$ or $1$, which denotes the $j$-th light bulb is off or on respectively.
You can assume that there exists a correspondence between the switches and the light bulbs which is consistent with the given information.
The end of input is indicated by a line containing three zeros.
Output
For each dataset, output the correspondence between the switches and the light bulbs consisting of $M$ numbers written in base-$36$. In the base-$36$ system for this problem, the values $0$-$9$ and $10$-$35$ are represented by the characters '0'-'9' and 'A'-'Z' respectively. The $i$-th character of the correspondence means the number of the switch controlling the $i$-th light bulb. If you cannot determine which switch controls the $i$-th light bulb, output '?' as the $i$-th character instead of the number of a switch.
Sample Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output for the Sample Input
2222221100
??
0
1
0123456789A
Example
Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output
2222221100
??
0
1
0123456789A | while 1:
n,m,q=map(int,input().split())
if (n|m|q)==0: break
p=[]
res=[{_ for _ in range(n)} for _ in range(m)]
for i in range(q):
s,b=[[int(c) for c in s] for s in input().split()]
if i>0:
for j in range(n):
s[j]^=p[j]
zero={i for i in range(n) if s[i]==0}
one={i for i in range(n) if s[i]==1}
for j in range(m):
if(b[j]==0): res[j]-=one
if(b[j]==1): res[j]-=zero
p=s
table="".join([str(i) for i in range(10)]+[chr(ord("A")+i) for i in range(26)])
for i in range(m):
if len(res[i])==1:
print(table[res[i].pop()],sep="",end="")
else:
print("?",sep="",end="")
print() | 3Python3
| {
"input": [
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n2 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n4 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n1 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 1000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n01000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n1 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -2\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00000000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 5 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0010001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n0 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001000000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 3 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000100 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000111 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 01010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0100001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000001\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011000000 00001000000\n00001100000 00000101000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111110100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00000000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n0 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0"
],
"output": [
"2222221100\n??\n0\n1\n0123456789A",
"2222121100\n??\n0\n1\n0123456789A\n",
"2222221100\n??\n0\n1\n0A23456789A\n",
"2222221100\n?\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0923456789A\n",
"2222221100\n????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n01234567898\n",
"2222221210\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A234567896\n",
"2222221100\n????\n0\n1\n0423456789A\n",
"2222221210\n???\n0\n1\n0A234A6789A\n",
"2222221100\n????\n0\n1\n04234A6789A\n",
"2222221100\n????\n0\n1\n0223456789A\n",
"2222220011\n??\n0\n1\n0A23456789A\n",
"2222221200\n?\n0\n1\n0123456789A\n",
"2222221200\n?\n0\n1\n012345678AA\n",
"2222121100\n??\n0\n1\n01234567896\n",
"2222221100\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0\n1\n0A23456A89A\n",
"2222221200\n\n0\n1\n012345678AA\n",
"2222221210\n\n0\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n0A234567896\n",
"2222221200\n?\n00\n1\n012345678AA\n",
"2222121100\n???\n0\n1\n0123456789A\n",
"2222211200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n00\n1\n0923456789A\n",
"2222221200\n?\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A234A67896\n",
"2222221200\n?\n0\n1\n01234567899\n",
"2222221100\n????\n0\n1\n04234A67A9A\n",
"2222221200\n0\n00\n1\n012345678AA\n",
"2222221210\n??\n00\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n02234A67896\n",
"2222221210\n???\n?\n1\n02234A67896\n",
"2221221100\n?\n0\n1\n0123456789A\n",
"2222221100\n????\n00\n1\n0A23456A89A\n",
"2222221100\n????\n\n1\n04234A6789A\n",
"2222220011\n??\n0\n1\n0A234567899\n",
"2222221200\n??\n00\n1\n012345678AA\n",
"2221221000\n?\n0\n1\n0123456789A\n",
"2221221000\n?\n0\n1\n012345A789A\n",
"2222221100\n????\n0\n0\n04234A6789A\n",
"2222221100\n??\n0\n1\n0A234567899\n",
"2222221210\n???\n00\n1\n0A23456789A\n",
"2222221100\n????\n00\n1\n04234A6789A\n",
"2222211200\n000\n0\n1\n0A23456789A\n",
"1222221100\n????\n0\n1\n0423436789A\n",
"2221221000\n?\n0\n1\n012345678AA\n",
"2222220001\n??\n0\n1\n0A234567899\n",
"2221221000\n0\n0\n1\n012345A789A\n",
"2222220011\n??\n0\n1\n0A234567898\n",
"2222221100\n?\n0\n1\n012A456789A\n",
"2222221100\n????\n0\n1\n04234567899\n",
"2222221200\n??????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n0123A567896\n",
"2222221101\n????\n0\n1\n0423436789A\n",
"2222221210\n???\n0\n1\n04234567896\n",
"2222221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n\n1\n04234A67A9A\n",
"2222221100\n????\n\n0\n04234A6789A\n",
"2222221100\n????\n0\n0\nA4234A6789A\n",
"2222221100\n????\n00\n1\n0423426789A\n",
"2222221100\n\n0\n1\n012A456789A\n",
"2222221200\n??????\n00\n1\n0A23456789A\n",
"2222221200\n??\n0\n1\nAA23456789A\n",
"2222220001\n??\n0\n1\n0A23456789A\n",
"2222121100\n?????\n0\n1\n0123456789A\n",
"2222221200\n0\n00\n0\n012345678AA\n",
"2221221200\n??\n00\n1\n012345678AA\n",
"2212221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n0000\n1\n0423426789A\n",
"2222221100\n????\n",
"2222221100\n???\n0\n1\n0A23456789A\n",
"2221221200\n??\n00\n1\n012345678??\n",
"2222221100\n????\n0000\n1\n04234267898\n",
"2222221100\n????\n0000\n1\n042342678?8\n",
"2222221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\nA4234A67A90\n",
"2222221200\n???\n0\n1\n03234567896\n",
"2222220011\n??\n0\n1\n0A23456A89A\n",
"2222221100\n??\n0\n1\n0A2A456789A\n",
"2222211200\n???\n0\n0\n0A23456789A\n",
"2222221200\n?\n0\n1\n0A234567899\n",
"2222221100\n????\n00\n1\n0A2A456A89A\n",
"2222221200\n??\n00\n1\n0A2345678AA\n",
"2222220001\n??\n0\n1\n0A2345A7899\n",
"2122221101\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0000\n1\n04234267894\n",
"2221221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\n64234A67A90\n",
"2222221200\n?\n\n1\n0A234567899\n",
"2222221100\n????\n\n1\n642A4A67A90\n",
"2222221100\n????\n00\n1\n0A2A456589A\n",
"2222120100\n??\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0AA3456789A\n",
"2221221210\n???\n0\n1\n0A234A6789A\n",
"2222221200\n\n0\n1\n01234A678AA\n",
"2222221210\n"
]
} | 6AIZU
|
p01702 Unknown Switches_37815 | Problem Statement
In the headquarter building of ICPC (International Company of Plugs & Connectors), there are $M$ light bulbs and they are controlled by $N$ switches. Each light bulb can be turned on or off by exactly one switch. Each switch may control multiple light bulbs. When you operate a switch, all the light bulbs controlled by the switch change their states. You lost the table that recorded the correspondence between the switches and the light bulbs, and want to restore it.
You decided to restore the correspondence by the following procedure.
* At first, every switch is off and every light bulb is off.
* You operate some switches represented by $S_1$.
* You check the states of the light bulbs represented by $B_1$.
* You operate some switches represented by $S_2$.
* You check the states of the light bulbs represented by $B_2$.
* ...
* You operate some switches represented by $S_Q$.
* You check the states of the light bulbs represented by $B_Q$.
After you operate some switches and check the states of the light bulbs, the states of the switches and the light bulbs are kept for next operations.
Can you restore the correspondence between the switches and the light bulbs using the information about the switches you have operated and the states of the light bulbs you have checked?
Input
The input consists of multiple datasets. The number of dataset is no more than $50$ and the file size is no more than $10\mathrm{MB}$. Each dataset is formatted as follows.
> $N$ $M$ $Q$
> $S_1$ $B_1$
> :
> :
> $S_Q$ $B_Q$
The first line of each dataset contains three integers $N$ ($1 \le N \le 36$), $M$ ($1 \le M \le 1{,}000$), $Q$ ($0 \le Q \le 1{,}000$), which denote the number of switches, the number of light bulbs and the number of operations respectively. The following $Q$ lines describe the information about the switches you have operated and the states of the light bulbs you have checked. The $i$-th of them contains two strings $S_i$ and $B_i$ of lengths $N$ and $M$ respectively. Each $S_i$ denotes the set of the switches you have operated: $S_{ij}$ is either $0$ or $1$, which denotes the $j$-th switch is not operated or operated respectively. Each $B_i$ denotes the states of the light bulbs: $B_{ij}$ is either $0$ or $1$, which denotes the $j$-th light bulb is off or on respectively.
You can assume that there exists a correspondence between the switches and the light bulbs which is consistent with the given information.
The end of input is indicated by a line containing three zeros.
Output
For each dataset, output the correspondence between the switches and the light bulbs consisting of $M$ numbers written in base-$36$. In the base-$36$ system for this problem, the values $0$-$9$ and $10$-$35$ are represented by the characters '0'-'9' and 'A'-'Z' respectively. The $i$-th character of the correspondence means the number of the switch controlling the $i$-th light bulb. If you cannot determine which switch controls the $i$-th light bulb, output '?' as the $i$-th character instead of the number of a switch.
Sample Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output for the Sample Input
2222221100
??
0
1
0123456789A
Example
Input
3 10 3
000 0000000000
110 0000001111
101 1111111100
2 2 0
1 1 0
2 1 1
01 1
11 11 10
10000000000 10000000000
11000000000 01000000000
01100000000 00100000000
00110000000 00010000000
00011000000 00001000000
00001100000 00000100000
00000110000 00000010000
00000011000 00000001000
00000001100 00000000100
00000000110 00000000010
0 0 0
Output
2222221100
??
0
1
0123456789A | import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner stdIn = new Scanner(System.in);
while(true) {
int n = stdIn.nextInt();
int m = stdIn.nextInt();
int q = stdIn.nextInt();
if(n == 0 && m == 0 && q == 0) break;
String[] S = new String[q];
String[] B = new String[q];
for(int i = 0; i < q; i++) {
S[i] = stdIn.next();
B[i] = stdIn.next();
}
boolean[][] SX = new boolean[q][n];
boolean[][] BX = new boolean[q][m];
for(int i = 0; i < q; i++) {
for(int j = 0; j < n; j++) {
SX[i][j] = (S[i].charAt(j) == '1')?true:false;
}
for(int j = 0; j < m; j++) {
BX[i][j] = (B[i].charAt(j) == '1')?true:false;
}
if(i != 0) {
for(int j = 0; j < n; j++) {
SX[i][j] = (S[i].charAt(j) == '1')?!SX[i-1][j]:SX[i-1][j];
}
for(int j = 0; j < m; j++) {
BX[i][j] = (B[i].charAt(j) == '1')?true:false;
}
}
}
boolean[][] list = new boolean[n][m];
for(int i = 0; i < q; i++) {
for (int j = 0; j < n; j++) {
if (SX[i][j]) {
for (int k = 0; k < m; k++) {
if (!BX[i][k]) {
list[j][k] = true;
}
}
}
if (!SX[i][j]) {
for (int k = 0; k < m; k++) {
if (BX[i][k]) {
list[j][k] = true;
}
}
}
}
}
if(n == 1) {
for(int i = 0; i < m; i++) {
System.out.print(0);
}
System.out.println();
continue;
}
int[] ans = new int[m];
for(int i = 0; i < m; i++) {
ans[i] = -1;
int count = 0;
int id = 0;
for(int j = 0; j < n; j++) {
if(!list[j][i]) {
id = j;
count++;
}
}
if(count == 1) {
ans[i] = id+1;
}
}
for(int i = 0; i < ans.length; i++) {
if(ans[i] == -1) {
System.out.print("?");
}
else if(ans[i] <= 10) {
char a = '0';
a += ans[i]-1;
System.out.print(a);
}
else {
char a = 'A';
a += (ans[i] - 11);
System.out.print(a);
}
}
System.out.println();
}
}
} | 4JAVA
| {
"input": [
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n2 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 01100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n4 3 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n1 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 1000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n01000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111000\n1 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 -2\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00000000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 1 -1\n2 1 1\n01 0\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 6 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n01000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111111100\n2 5 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n1 1 0\n1 2 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0010001111\n101 1111111100\n2 4 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n0 0 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 01001000000\n00001000000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 3 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000100 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000101\n00000000111 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 01010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010001\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n01000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000011011\n101 1111111100\n2 3 0\n1 1 0\n2 1 1\n01 0\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00000000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 2 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n011 1111111110\n2 2 -1\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000000000\n00000011000 00000001000\n00000001100 00000000100\n01000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0100001111\n101 1111111101\n2 4 0\n1 1 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010100000\n00011000000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 4 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100100000\n00110000000 00010000000\n00011000000 01001000001\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000001\n11000000100 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00010000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 1 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000011\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 0 0\n2 1 1\n01 1\n11 11 10\n10000000000 00000000001\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011100000 01001000000\n00001100000 00000000000\n00000110000 10000010000\n00000011000 00000001000\n00000001100 00000000000\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001111\n101 1111111100\n2 4 0\n1 2 -1\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n01110000000 00000000000\n00011000000 00001000000\n00001100000 00000101000\n00000110000 00000010000\n00000011000 00000000000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000101111\n101 1111110100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 2 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00000000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0001001011\n101 1111111110\n2 3 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000010\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111100\n2 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 01000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000000000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 00000000000\n0 0 0",
"3 10 3\n000 0000000000\n110 0000001011\n101 1111111110\n0 0 0\n1 1 0\n2 1 1\n01 1\n11 11 10\n10000000000 10000000000\n11000000000 00000000000\n01100000000 00100000000\n00110000000 00010000000\n00011000000 00001000000\n00001100000 00000100000\n00000110000 00000010000\n00000011000 00000001000\n00000001100 00000000100\n00000000110 01000000010\n0 0 0"
],
"output": [
"2222221100\n??\n0\n1\n0123456789A",
"2222121100\n??\n0\n1\n0123456789A\n",
"2222221100\n??\n0\n1\n0A23456789A\n",
"2222221100\n?\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0923456789A\n",
"2222221100\n????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n01234567898\n",
"2222221210\n??\n0\n1\n0A23456789A\n",
"2222221200\n???\n0\n1\n0A234567896\n",
"2222221100\n????\n0\n1\n0423456789A\n",
"2222221210\n???\n0\n1\n0A234A6789A\n",
"2222221100\n????\n0\n1\n04234A6789A\n",
"2222221100\n????\n0\n1\n0223456789A\n",
"2222220011\n??\n0\n1\n0A23456789A\n",
"2222221200\n?\n0\n1\n0123456789A\n",
"2222221200\n?\n0\n1\n012345678AA\n",
"2222121100\n??\n0\n1\n01234567896\n",
"2222221100\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0\n1\n0A23456A89A\n",
"2222221200\n\n0\n1\n012345678AA\n",
"2222221210\n\n0\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n0A234567896\n",
"2222221200\n?\n00\n1\n012345678AA\n",
"2222121100\n???\n0\n1\n0123456789A\n",
"2222211200\n???\n0\n1\n0A23456789A\n",
"2222221210\n???\n00\n1\n0923456789A\n",
"2222221200\n?\n0\n1\n0A23456789A\n",
"2222221210\n???\n0\n1\n0A234A67896\n",
"2222221200\n?\n0\n1\n01234567899\n",
"2222221100\n????\n0\n1\n04234A67A9A\n",
"2222221200\n0\n00\n1\n012345678AA\n",
"2222221210\n??\n00\n1\n0923456789A\n",
"2222221210\n???\n0\n1\n02234A67896\n",
"2222221210\n???\n?\n1\n02234A67896\n",
"2221221100\n?\n0\n1\n0123456789A\n",
"2222221100\n????\n00\n1\n0A23456A89A\n",
"2222221100\n????\n\n1\n04234A6789A\n",
"2222220011\n??\n0\n1\n0A234567899\n",
"2222221200\n??\n00\n1\n012345678AA\n",
"2221221000\n?\n0\n1\n0123456789A\n",
"2221221000\n?\n0\n1\n012345A789A\n",
"2222221100\n????\n0\n0\n04234A6789A\n",
"2222221100\n??\n0\n1\n0A234567899\n",
"2222221210\n???\n00\n1\n0A23456789A\n",
"2222221100\n????\n00\n1\n04234A6789A\n",
"2222211200\n000\n0\n1\n0A23456789A\n",
"1222221100\n????\n0\n1\n0423436789A\n",
"2221221000\n?\n0\n1\n012345678AA\n",
"2222220001\n??\n0\n1\n0A234567899\n",
"2221221000\n0\n0\n1\n012345A789A\n",
"2222220011\n??\n0\n1\n0A234567898\n",
"2222221100\n?\n0\n1\n012A456789A\n",
"2222221100\n????\n0\n1\n04234567899\n",
"2222221200\n??????\n0\n1\n0A23456789A\n",
"2222121100\n??\n0\n1\n0123A567896\n",
"2222221101\n????\n0\n1\n0423436789A\n",
"2222221210\n???\n0\n1\n04234567896\n",
"2222221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n\n1\n04234A67A9A\n",
"2222221100\n????\n\n0\n04234A6789A\n",
"2222221100\n????\n0\n0\nA4234A6789A\n",
"2222221100\n????\n00\n1\n0423426789A\n",
"2222221100\n\n0\n1\n012A456789A\n",
"2222221200\n??????\n00\n1\n0A23456789A\n",
"2222221200\n??\n0\n1\nAA23456789A\n",
"2222220001\n??\n0\n1\n0A23456789A\n",
"2222121100\n?????\n0\n1\n0123456789A\n",
"2222221200\n0\n00\n0\n012345678AA\n",
"2221221200\n??\n00\n1\n012345678AA\n",
"2212221100\n????\n0\n1\n04234A6A89A\n",
"2222221100\n????\n0000\n1\n0423426789A\n",
"2222221100\n????\n",
"2222221100\n???\n0\n1\n0A23456789A\n",
"2221221200\n??\n00\n1\n012345678??\n",
"2222221100\n????\n0000\n1\n04234267898\n",
"2222221100\n????\n0000\n1\n042342678?8\n",
"2222221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\nA4234A67A90\n",
"2222221200\n???\n0\n1\n03234567896\n",
"2222220011\n??\n0\n1\n0A23456A89A\n",
"2222221100\n??\n0\n1\n0A2A456789A\n",
"2222211200\n???\n0\n0\n0A23456789A\n",
"2222221200\n?\n0\n1\n0A234567899\n",
"2222221100\n????\n00\n1\n0A2A456A89A\n",
"2222221200\n??\n00\n1\n0A2345678AA\n",
"2222220001\n??\n0\n1\n0A2345A7899\n",
"2122221101\n????\n0\n1\n0423436789A\n",
"2222221100\n????\n0000\n1\n04234267894\n",
"2221221100\n????\n\n1\n04234A67A90\n",
"2222221100\n????\n\n1\n64234A67A90\n",
"2222221200\n?\n\n1\n0A234567899\n",
"2222221100\n????\n\n1\n642A4A67A90\n",
"2222221100\n????\n00\n1\n0A2A456589A\n",
"2222120100\n??\n0\n1\n0123456789A\n",
"2222221200\n??\n0\n1\n0AA3456789A\n",
"2221221210\n???\n0\n1\n0A234A6789A\n",
"2222221200\n\n0\n1\n01234A678AA\n",
"2222221210\n"
]
} | 6AIZU
|
p01846 jfen_37816 | jfen
There is a one-person game to play on the H × W board. This game is a game to move 0 or 1 balls in each cell. You were playing this game and found it difficult to move the ball accurately from cell to cell because the ball is so round. So you decided to make a robot that would move the ball as instructed. Here, the notation (y, x) is used to represent the cell. This represents the cell in the xth column of the yth row.
Instructions to the robot are given by the four integers a, b, c, d. This means moving the ball at (a, b) to (c, d). At this time, it is guaranteed that the ball exists in (a, b) and does not exist in (c, d).
The state of the board is expressed by the following notation called "jfen".
[Data in the first line] / [Data in the second line] /.../ [Data in the H line]
This notation is a slash-separated concatenation of data representing each line on the board. The data in each row is represented by a character string, and the state of the cells in the 1st to Wth columns is described in order from the left. This string is represented by a number and the letter'b', where the integer represented by the number represents the number of consecutive blank cells and'b' represents the cell in which the ball resides. Here, integers must not be consecutive in the data of each row. Also, the sum of the integers written in the data of each line and the sum of the number of'b'are always W.
As an example, consider the following board surface condition. A blank cell is represented by a'.', And a cell in which the ball exists is represented by a'b'. The j character from the left of the i-th row in this example represents the state of the cell in the j-th column of the i-th row on the board.
....
.b.b
....
The above board is expressed in jfen as follows.
4 / 1b1b / 4
Create a program that outputs the board surface after the robot moves the ball when the robot is given the current board surface state and a command to move one ball. At this time, output the board surface in jfen notation.
Input
The input consists of multiple datasets. Each dataset has the following format.
> S
> a b c d
Each dataset consists of two lines, and the first line is given the jfen-formatted string S, which represents the state of the board. Here, the size of the board satisfies 2 ≤ W and H ≤ 9. Instructions to the robot are given to the following lines. This represents an instruction to move the ball at (a, b) to (c, d). The end of the input is represented by #.
Output
The output is one line of character string that expresses the state of the board after executing the instruction for each data set in jfen notation. There must be no other characters on the output line.
Sample Input
b1 / 1b
1 1 1 2
b5 / bbbbbb
2 4 1 4
b2b2b / 7
1 4 2 4
Output for Sample Input
1b / 1b
b2b2 / bbb1bb
b5b / 3b3
The initial state of the first input is as follows.
b.
.b
Since the ball of (1,1) is moved to (1,2), the board surface after the command is as follows.
.b
.b
Example
Input
b1/1b
1 1 1 2
b5/bbbbbb
2 4 1 4
b2b2b/7
1 4 2 4
#
Output
1b/1b
b2b2/bbb1bb
b5b/3b3 | #include <bits/stdc++.h>
using namespace std;
char j_s_board[10][10];
int idx,width;
int jtos(string jfen){
std::vector<char> board[10];
int len=jfen.length();
idx=0;width=0;
for(int i=0;i<len;i++){
if(jfen[i]=='/') idx++;
else{
if(jfen[i]=='b'){
board[idx].push_back('b');
width++;
}
else{
int j=jfen[i]-'0';
for(int k=0;k<j;k++){
board[idx].push_back('.');
width++;
}
}
}
}
for(int i=0;i<idx+1;i++) for(int j=0;j<width/(idx+1);j++) j_s_board[i][j]=board[i][j];
return 0;
}
string stoj(){
string res="";
for(int i=0;i<idx+1;i++){
char num='0';//.?????£?¶?????????°
for(int j=0;j<width/(idx+1);j++){
if(j_s_board[i][j]=='.') num++;
else{
if(num!='0') res+=num;
res+='b';
num='0';
}
}
if(num!='0') res+=num;
if(i<idx) res+="/";
}
return res;
}
int main(){
cin.tie(0);
ios::sync_with_stdio(false);
string jfen;
while(cin>>jfen,jfen!="#"){
jtos(jfen);
int a,b,c,d;cin>>a>>b>>c>>d;
char tmp=j_s_board[a-1][b-1];
j_s_board[a-1][b-1]=j_s_board[c-1][d-1];
j_s_board[c-1][d-1]=tmp;
string ans=stoj();
cout<<ans<<endl;
}
} | 2C++
| {
"input": [
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 8\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 7\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 3 4\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 9 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 8\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 9 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 3 4\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 8 0 5\nb2b2b/7\n1 4 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 6\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 8\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 3 3\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 2 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 6\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n0 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n0 8 0 5\nb2b2b/7\n1 0 6 4\n#",
"b1/1b\n1 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n0 8 0 5\nb2b2b/7\n1 0 10 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 7 3 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 4\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 13 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 1 2 8\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 3 5\n#",
"b1/1b\n1 1 0 4\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 3 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n0 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 4\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n1 8 0 5\nb2b2b/7\n1 0 10 4\n#",
"b1/1b\n0 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 5\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 13 0 9\nb2b2b/7\n1 4 3 4\n#",
"bb/11\n1 1 1 4\nb5/bbbbbb\n2 7 0 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n0 0 1 3\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 5\nbbbbbb/5b\n4 4 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 4 4 6\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 9 0 4\nb2b2b/7\n0 4 4 4\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\nb2b2b/7\n1 4 0 4\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\nb2b2b/7\n0 4 0 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 0 4 2\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n0 -1 -1 3\nb2b2b/7\n1 1 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 1 4 2\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\n7/b2b2b\n0 4 -1 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 1 1 2\n#",
"b1/1b\n1 1 1 1\nbbbbbb/5b\n2 9 0 4\nb2b2b/7\n0 6 4 1\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 1\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 1 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 7 1 7\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 8 0 5\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n0 1 1 3\nb5/bbbbbb\n2 4 2 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 2 7\nb2b2b/7\n0 3 2 10\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 3 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 2 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 5\nb5/bbbbbb\n2 1 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 0 4\nb5/bbbbbb\n2 4 0 4\nb2b2b/7\n1 4 3 2\n#",
"bb/11\n1 1 1 4\nb5/bbbbbb\n2 6 0 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 2 1\nb5/bbbbbb\n2 9 0 4\nb2b2b/7\n0 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 0 2 11\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 5 1 8\nb2b2b/7\n1 4 5 4\n#",
"b1/1b\n1 1 0 1\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/b1\n1 1 1 4\nb5/bbbbbb\n0 7 1 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 9 0 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 2 1\nb5/bbbbbb\n0 2 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 0 5\nb5/bbbbbb\n4 0 3 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n0 1 1 4\nb5/bbbbbb\n0 -1 0 3\nb2b2b/7\n1 1 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\n7/2bb2b\n2 -1 4 2\n#"
],
"output": [
"1b/1b\nb2b2/bbb1bb\nb5b/3b3",
"1b/1b\nb2b2/bbb1bb\nb5b/5b1\n",
"1b/1b\nb3b1/bbb1bb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/6b\n",
"1b/1b\nbb4/bbb1bb\nb5b/1b5\n",
"1b/1b\nb5/bbbbbb\nb5b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/3b3\n",
"1b/1b\nbb4/b1bbbb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nb5b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/5b1\n",
"2/1b\nb2b2/bbb1bb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nb5b/2b4\n",
"1b/1b\nb5/bbbbbb\nb5b/5b1\n",
"1b/1b\nb5/bbb1bb\nb5b/7\n",
"1b/1b\nb1b3/bbb1bb\nb5b/2b4\n",
"1b/1b\nbb4/bbb1bb\nb5b/3b3\n",
"1b/1b\nb1b3/bbb1bb\nb5b/1b5\n",
"2/1b\nb2b2/bbb1bb\nbb4b/7\n",
"2/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb1b3/bbb1bb\nbb4b/7\n",
"1b/1b\nbb4/bbb1bb\nb5b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/7\n",
"1b/1b\nb4b/bbb1bb\nb5b/3b3\n",
"1b/1b\nb3b1/bbb1bb\nb5b/7\n",
"1b/1b\nb5/bbbbbb\nb5b/1b5\n",
"1b/1b\nb5/bbb1bb\nb5b/4b2\n",
"b1/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb1b3/bbb1bb\nb5b/7\n",
"2/1b\nb5/bbbbbb\nbb4b/7\n",
"b1/1b\nb4b/bbb1bb\nb5b/3b3\n",
"1b/1b\nb5/bbbbbb\nb5b/4b2\n",
"2/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/1b\nb2b2/bbb1bb\nbb4b/7\n",
"1b/1b\nbbbbbb/5b\nb2b2b/7\n",
"1b/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb1b3b/7\n",
"1b/1b\nb5/b1bbbb\nb5b/3b3\n",
"1b/1b\nb5/bbbbbb\nb2b3/7\n",
"b1/1b\nbb4/b1bbbb\nb5b/1b5\n",
"1b/1b\nb2b2/b1bbbb\nb5b/7\n",
"b1/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb3b1/bbb1bb\n3b2b/7\n",
"2/1b\nb5/bbbbbb\nb5b/7\n",
"2/1b\nb2b2/bbb1bb\nb5b/7\n",
"b1/1b\nb5/bbb1bb\nb5b/1b5\n",
"1b/1b\nbbbbbb/5b\nb5b/4b2\n",
"b1/1b\nb2b2/bbb1bb\nb2b2b/7\n",
"2/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/1b\nb2b2/bbb1bb\nb1b3b/7\n",
"1b/1b\nb3b1/b1bbbb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb3b1b/7\n",
"b1/1b\nb5/b1bbbb\nb5b/3b3\n",
"b1/1b\nb5/bbbbbb\nb5b/7\n",
"1b/2\nb5/bbbbbb\nb5b/7\n",
"b1/1b\nb3b1/bbb1bb\nb1b3b/7\n",
"1b/1b\nb5/bbb1bb\nb3b2/5b1\n",
"b1/1b\nb3b1/b1bbbb\nb5b/3b3\n",
"2/1b\nbbbbbb/5b\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb3b2/7\n",
"b1/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/2\nb5/bbbbbb\nb5b/7\n",
"b1/2\nb5/bbbbbb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb2bb2/7\n",
"2/1b\nb5/bbbbbb\n3b2b/7\n",
"1b/1b\nb5/bbb1bb\n3bb2/7\n",
"b1/2\nb5/bbbbbb\n7/b2b2b\n",
"1b/1b\nb5/bbb1bb\n1b1bb2/7\n",
"b1/1b\nbbbbbb/5b\nb2b2b/7\n",
"1b/1b\nbb4/b1bbbb\nb5b/b6\n",
"1b/1b\nb3b1/bbb1bb\nb5b/2b4\n",
"1b/1b\nb5/bbbbbb\nb4bb/7\n",
"1b/1b\nb5/bbbbbb\nbb4b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/1b5\n",
"b1/1b\nb5/bbbbbb\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb2b2b/7\n",
"1b/1b\nb3b1/bbb1bb\nb5b/5b1\n",
"2/1b\nbb4/bbb1bb\nb5b/7\n",
"b1/1b\nb5/bbbbbb\nb5b/1b5\n",
"b1/1b\nb5/b1bbbb\nb5b/1b5\n",
"2/1b\nb5/1bbbbb\nbb4b/7\n",
"2/1b\nb5/bbb1bb\nb5b/7\n",
"1b/2\nb5/bbbbb1\nb5b/7\n",
"b1/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"2/bb\nb5/bbbbbb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/2b4\n",
"1b/1b\nb3b1/bbb1bb\nb2b2b/7\n",
"1b/1b\nb5/bbbb1b\nb5b/7\n",
"2/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"2/b1\nb5/bbbbbb\nb5b/7\n",
"2/1b\nb5/bbbbbb\nb5b/4b2\n",
"2/bb\nb5/bbbbbb\nb5b/1b5\n",
"2/1b\nb5/bbbbbb\nb1b3b/7\n",
"b1/1b\nb5/bbbbbb\n3b2b/7\n",
"1b/1b\nb5/bbb1bb\n7/2bb2b\n"
]
} | 6AIZU
|
p01846 jfen_37817 | jfen
There is a one-person game to play on the H × W board. This game is a game to move 0 or 1 balls in each cell. You were playing this game and found it difficult to move the ball accurately from cell to cell because the ball is so round. So you decided to make a robot that would move the ball as instructed. Here, the notation (y, x) is used to represent the cell. This represents the cell in the xth column of the yth row.
Instructions to the robot are given by the four integers a, b, c, d. This means moving the ball at (a, b) to (c, d). At this time, it is guaranteed that the ball exists in (a, b) and does not exist in (c, d).
The state of the board is expressed by the following notation called "jfen".
[Data in the first line] / [Data in the second line] /.../ [Data in the H line]
This notation is a slash-separated concatenation of data representing each line on the board. The data in each row is represented by a character string, and the state of the cells in the 1st to Wth columns is described in order from the left. This string is represented by a number and the letter'b', where the integer represented by the number represents the number of consecutive blank cells and'b' represents the cell in which the ball resides. Here, integers must not be consecutive in the data of each row. Also, the sum of the integers written in the data of each line and the sum of the number of'b'are always W.
As an example, consider the following board surface condition. A blank cell is represented by a'.', And a cell in which the ball exists is represented by a'b'. The j character from the left of the i-th row in this example represents the state of the cell in the j-th column of the i-th row on the board.
....
.b.b
....
The above board is expressed in jfen as follows.
4 / 1b1b / 4
Create a program that outputs the board surface after the robot moves the ball when the robot is given the current board surface state and a command to move one ball. At this time, output the board surface in jfen notation.
Input
The input consists of multiple datasets. Each dataset has the following format.
> S
> a b c d
Each dataset consists of two lines, and the first line is given the jfen-formatted string S, which represents the state of the board. Here, the size of the board satisfies 2 ≤ W and H ≤ 9. Instructions to the robot are given to the following lines. This represents an instruction to move the ball at (a, b) to (c, d). The end of the input is represented by #.
Output
The output is one line of character string that expresses the state of the board after executing the instruction for each data set in jfen notation. There must be no other characters on the output line.
Sample Input
b1 / 1b
1 1 1 2
b5 / bbbbbb
2 4 1 4
b2b2b / 7
1 4 2 4
Output for Sample Input
1b / 1b
b2b2 / bbb1bb
b5b / 3b3
The initial state of the first input is as follows.
b.
.b
Since the ball of (1,1) is moved to (1,2), the board surface after the command is as follows.
.b
.b
Example
Input
b1/1b
1 1 1 2
b5/bbbbbb
2 4 1 4
b2b2b/7
1 4 2 4
#
Output
1b/1b
b2b2/bbb1bb
b5b/3b3 | while True:
s = input()
if s == "#":break
s = s.split("/")
area = [0] * len(s)
for i in range(len(s)):
t = []
while True:
if s[i][0] == "b":
t.append(1)
s[i] = s[i][1:]
else:
if "b" in s[i]:
t += [0] * int(s[i][:s[i].index("b")])
s[i] = s[i][s[i].index("b"):]
else:
t += [0] * int(s[i])
break
if s[i] == "":
break
area[i] = t
a, b, c, d = map(int, input().split())
area[a - 1][b - 1] = 0
area[c - 1][d - 1] = 1
t = ""
for i in range(len(area)):
j = 0
while True:
if area[i][j] == 1:
t += "b"
j += 1
else:
k = 0
while j < len(area[i]) and area[i][j] == 0:
k += 1
j += 1
t += str(k)
if j == len(area[i]):break
if i < len(area) - 1:
t += "/"
print(t)
| 3Python3
| {
"input": [
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 8\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 7\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 3 4\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 9 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 8\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 9 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 3 4\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 8 0 5\nb2b2b/7\n1 4 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 6\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 8\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 3 3\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 2 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 6\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n0 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n0 8 0 5\nb2b2b/7\n1 0 6 4\n#",
"b1/1b\n1 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n0 8 0 5\nb2b2b/7\n1 0 10 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 7 3 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 4\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 13 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 1 2 8\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 3 5\n#",
"b1/1b\n1 1 0 4\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 3 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n0 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 4\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n1 8 0 5\nb2b2b/7\n1 0 10 4\n#",
"b1/1b\n0 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 5\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 13 0 9\nb2b2b/7\n1 4 3 4\n#",
"bb/11\n1 1 1 4\nb5/bbbbbb\n2 7 0 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n0 0 1 3\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 5\nbbbbbb/5b\n4 4 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 4 4 6\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 9 0 4\nb2b2b/7\n0 4 4 4\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\nb2b2b/7\n1 4 0 4\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\nb2b2b/7\n0 4 0 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 0 4 2\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n0 -1 -1 3\nb2b2b/7\n1 1 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 1 4 2\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\n7/b2b2b\n0 4 -1 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 1 1 2\n#",
"b1/1b\n1 1 1 1\nbbbbbb/5b\n2 9 0 4\nb2b2b/7\n0 6 4 1\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 1\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 1 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 7 1 7\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 8 0 5\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n0 1 1 3\nb5/bbbbbb\n2 4 2 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 2 7\nb2b2b/7\n0 3 2 10\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 3 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 2 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 5\nb5/bbbbbb\n2 1 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 0 4\nb5/bbbbbb\n2 4 0 4\nb2b2b/7\n1 4 3 2\n#",
"bb/11\n1 1 1 4\nb5/bbbbbb\n2 6 0 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 2 1\nb5/bbbbbb\n2 9 0 4\nb2b2b/7\n0 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 0 2 11\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 5 1 8\nb2b2b/7\n1 4 5 4\n#",
"b1/1b\n1 1 0 1\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/b1\n1 1 1 4\nb5/bbbbbb\n0 7 1 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 9 0 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 2 1\nb5/bbbbbb\n0 2 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 0 5\nb5/bbbbbb\n4 0 3 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n0 1 1 4\nb5/bbbbbb\n0 -1 0 3\nb2b2b/7\n1 1 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\n7/2bb2b\n2 -1 4 2\n#"
],
"output": [
"1b/1b\nb2b2/bbb1bb\nb5b/3b3",
"1b/1b\nb2b2/bbb1bb\nb5b/5b1\n",
"1b/1b\nb3b1/bbb1bb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/6b\n",
"1b/1b\nbb4/bbb1bb\nb5b/1b5\n",
"1b/1b\nb5/bbbbbb\nb5b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/3b3\n",
"1b/1b\nbb4/b1bbbb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nb5b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/5b1\n",
"2/1b\nb2b2/bbb1bb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nb5b/2b4\n",
"1b/1b\nb5/bbbbbb\nb5b/5b1\n",
"1b/1b\nb5/bbb1bb\nb5b/7\n",
"1b/1b\nb1b3/bbb1bb\nb5b/2b4\n",
"1b/1b\nbb4/bbb1bb\nb5b/3b3\n",
"1b/1b\nb1b3/bbb1bb\nb5b/1b5\n",
"2/1b\nb2b2/bbb1bb\nbb4b/7\n",
"2/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb1b3/bbb1bb\nbb4b/7\n",
"1b/1b\nbb4/bbb1bb\nb5b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/7\n",
"1b/1b\nb4b/bbb1bb\nb5b/3b3\n",
"1b/1b\nb3b1/bbb1bb\nb5b/7\n",
"1b/1b\nb5/bbbbbb\nb5b/1b5\n",
"1b/1b\nb5/bbb1bb\nb5b/4b2\n",
"b1/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb1b3/bbb1bb\nb5b/7\n",
"2/1b\nb5/bbbbbb\nbb4b/7\n",
"b1/1b\nb4b/bbb1bb\nb5b/3b3\n",
"1b/1b\nb5/bbbbbb\nb5b/4b2\n",
"2/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/1b\nb2b2/bbb1bb\nbb4b/7\n",
"1b/1b\nbbbbbb/5b\nb2b2b/7\n",
"1b/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb1b3b/7\n",
"1b/1b\nb5/b1bbbb\nb5b/3b3\n",
"1b/1b\nb5/bbbbbb\nb2b3/7\n",
"b1/1b\nbb4/b1bbbb\nb5b/1b5\n",
"1b/1b\nb2b2/b1bbbb\nb5b/7\n",
"b1/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb3b1/bbb1bb\n3b2b/7\n",
"2/1b\nb5/bbbbbb\nb5b/7\n",
"2/1b\nb2b2/bbb1bb\nb5b/7\n",
"b1/1b\nb5/bbb1bb\nb5b/1b5\n",
"1b/1b\nbbbbbb/5b\nb5b/4b2\n",
"b1/1b\nb2b2/bbb1bb\nb2b2b/7\n",
"2/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/1b\nb2b2/bbb1bb\nb1b3b/7\n",
"1b/1b\nb3b1/b1bbbb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb3b1b/7\n",
"b1/1b\nb5/b1bbbb\nb5b/3b3\n",
"b1/1b\nb5/bbbbbb\nb5b/7\n",
"1b/2\nb5/bbbbbb\nb5b/7\n",
"b1/1b\nb3b1/bbb1bb\nb1b3b/7\n",
"1b/1b\nb5/bbb1bb\nb3b2/5b1\n",
"b1/1b\nb3b1/b1bbbb\nb5b/3b3\n",
"2/1b\nbbbbbb/5b\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb3b2/7\n",
"b1/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/2\nb5/bbbbbb\nb5b/7\n",
"b1/2\nb5/bbbbbb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb2bb2/7\n",
"2/1b\nb5/bbbbbb\n3b2b/7\n",
"1b/1b\nb5/bbb1bb\n3bb2/7\n",
"b1/2\nb5/bbbbbb\n7/b2b2b\n",
"1b/1b\nb5/bbb1bb\n1b1bb2/7\n",
"b1/1b\nbbbbbb/5b\nb2b2b/7\n",
"1b/1b\nbb4/b1bbbb\nb5b/b6\n",
"1b/1b\nb3b1/bbb1bb\nb5b/2b4\n",
"1b/1b\nb5/bbbbbb\nb4bb/7\n",
"1b/1b\nb5/bbbbbb\nbb4b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/1b5\n",
"b1/1b\nb5/bbbbbb\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb2b2b/7\n",
"1b/1b\nb3b1/bbb1bb\nb5b/5b1\n",
"2/1b\nbb4/bbb1bb\nb5b/7\n",
"b1/1b\nb5/bbbbbb\nb5b/1b5\n",
"b1/1b\nb5/b1bbbb\nb5b/1b5\n",
"2/1b\nb5/1bbbbb\nbb4b/7\n",
"2/1b\nb5/bbb1bb\nb5b/7\n",
"1b/2\nb5/bbbbb1\nb5b/7\n",
"b1/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"2/bb\nb5/bbbbbb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/2b4\n",
"1b/1b\nb3b1/bbb1bb\nb2b2b/7\n",
"1b/1b\nb5/bbbb1b\nb5b/7\n",
"2/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"2/b1\nb5/bbbbbb\nb5b/7\n",
"2/1b\nb5/bbbbbb\nb5b/4b2\n",
"2/bb\nb5/bbbbbb\nb5b/1b5\n",
"2/1b\nb5/bbbbbb\nb1b3b/7\n",
"b1/1b\nb5/bbbbbb\n3b2b/7\n",
"1b/1b\nb5/bbb1bb\n7/2bb2b\n"
]
} | 6AIZU
|
p01846 jfen_37818 | jfen
There is a one-person game to play on the H × W board. This game is a game to move 0 or 1 balls in each cell. You were playing this game and found it difficult to move the ball accurately from cell to cell because the ball is so round. So you decided to make a robot that would move the ball as instructed. Here, the notation (y, x) is used to represent the cell. This represents the cell in the xth column of the yth row.
Instructions to the robot are given by the four integers a, b, c, d. This means moving the ball at (a, b) to (c, d). At this time, it is guaranteed that the ball exists in (a, b) and does not exist in (c, d).
The state of the board is expressed by the following notation called "jfen".
[Data in the first line] / [Data in the second line] /.../ [Data in the H line]
This notation is a slash-separated concatenation of data representing each line on the board. The data in each row is represented by a character string, and the state of the cells in the 1st to Wth columns is described in order from the left. This string is represented by a number and the letter'b', where the integer represented by the number represents the number of consecutive blank cells and'b' represents the cell in which the ball resides. Here, integers must not be consecutive in the data of each row. Also, the sum of the integers written in the data of each line and the sum of the number of'b'are always W.
As an example, consider the following board surface condition. A blank cell is represented by a'.', And a cell in which the ball exists is represented by a'b'. The j character from the left of the i-th row in this example represents the state of the cell in the j-th column of the i-th row on the board.
....
.b.b
....
The above board is expressed in jfen as follows.
4 / 1b1b / 4
Create a program that outputs the board surface after the robot moves the ball when the robot is given the current board surface state and a command to move one ball. At this time, output the board surface in jfen notation.
Input
The input consists of multiple datasets. Each dataset has the following format.
> S
> a b c d
Each dataset consists of two lines, and the first line is given the jfen-formatted string S, which represents the state of the board. Here, the size of the board satisfies 2 ≤ W and H ≤ 9. Instructions to the robot are given to the following lines. This represents an instruction to move the ball at (a, b) to (c, d). The end of the input is represented by #.
Output
The output is one line of character string that expresses the state of the board after executing the instruction for each data set in jfen notation. There must be no other characters on the output line.
Sample Input
b1 / 1b
1 1 1 2
b5 / bbbbbb
2 4 1 4
b2b2b / 7
1 4 2 4
Output for Sample Input
1b / 1b
b2b2 / bbb1bb
b5b / 3b3
The initial state of the first input is as follows.
b.
.b
Since the ball of (1,1) is moved to (1,2), the board surface after the command is as follows.
.b
.b
Example
Input
b1/1b
1 1 1 2
b5/bbbbbb
2 4 1 4
b2b2b/7
1 4 2 4
#
Output
1b/1b
b2b2/bbb1bb
b5b/3b3 | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Scanner;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
Scanner in = new Scanner(inputStream);
PrintWriter out = new PrintWriter(outputStream);
Jfen solver = new Jfen();
try {
int testNumber = 1;
while (true)
solver.solve(testNumber++, in, out);
} catch (UnknownError e) {
out.close();
}
}
static class Jfen {
public void solve(int testNumber, Scanner in, PrintWriter out) {
String S = in.next();
if (S.equals("#")) throw new UnknownError();
int a, b, c, d;
a = in.nextInt() - 1;
b = in.nextInt() - 1;
c = in.nextInt() - 1;
d = in.nextInt() - 1;
String[] Ss = S.split("/");
StringBuilder[] board = new StringBuilder[Ss.length];
for (int i = 0; i < Ss.length; i++) {
board[i] = new StringBuilder();
for (int j = 0; j < Ss[i].length(); j++) {
final char C = Ss[i].charAt(j);
if (Character.isDigit(C)) {
for (int k = 0; k < C - '0'; k++) {
board[i].append('.');
}
} else {
board[i].append(C);
}
}
}
final char cbuf = board[a].charAt(b);
board[a].setCharAt(b, board[c].charAt(d));
board[c].setCharAt(d, cbuf);
StringBuilder ans = new StringBuilder();
for (int i = 0; i < board.length; i++) {
int cnt = 0;
for (int j = 0; j < board[i].length(); j++) {
if (board[i].charAt(j) == 'b') {
if (cnt != 0) {
ans.append(cnt);
}
cnt = 0;
ans.append('b');
} else {
cnt++;
if (j + 1 == board[i].length()) {
ans.append(cnt);
cnt = 0;
}
}
if (i + 1 != board.length && j + 1 == board[i].length()) {
ans.append('/');
}
}
}
out.println(ans);
}
}
} | 4JAVA
| {
"input": [
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 8\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 7\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 3 4\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 9 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 8\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 9 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 3 4\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 8 0 5\nb2b2b/7\n1 4 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 6\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 8\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 3\nb2b2b/7\n1 4 3 3\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 2 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 6\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n0 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n0 8 0 5\nb2b2b/7\n1 0 6 4\n#",
"b1/1b\n1 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n0 8 0 5\nb2b2b/7\n1 0 10 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 7 3 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 4\nb2b2b/7\n1 4 4 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 13 0 9\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 1 2 8\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 3 5\n#",
"b1/1b\n1 1 0 4\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 3 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 4 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n0 4 1 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 4\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n1 8 0 5\nb2b2b/7\n1 0 10 4\n#",
"b1/1b\n0 0 1 3\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 4\nb2b2b/7\n1 4 1 5\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 0 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 13 0 9\nb2b2b/7\n1 4 3 4\n#",
"bb/11\n1 1 1 4\nb5/bbbbbb\n2 7 0 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n0 0 1 3\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 1 5\nbbbbbb/5b\n4 4 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 4 4 6\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 9 0 4\nb2b2b/7\n0 4 4 4\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\nb2b2b/7\n1 4 0 4\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\nb2b2b/7\n0 4 0 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 0 4 2\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n0 -1 -1 3\nb2b2b/7\n1 1 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 1 4 2\n#",
"bb/11\n1 2 1 4\nb5/bbbbbb\n0 7 0 9\n7/b2b2b\n0 4 -1 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\nb2bb2/7\n1 1 1 2\n#",
"b1/1b\n1 1 1 1\nbbbbbb/5b\n2 9 0 4\nb2b2b/7\n0 6 4 1\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 2 1 2\nb2b2b/7\n1 4 2 1\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 8 0 5\nb2b2b/7\n1 4 1 6\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 7 1 7\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nbbbbbb/5b\n2 8 0 5\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n0 1 1 3\nb5/bbbbbb\n2 4 2 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 2 7\nb2b2b/7\n0 3 2 10\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 4 2 6\n#",
"b1/1b\n1 1 1 3\nb5/bbbbbb\n2 4 1 2\nb2b2b/7\n1 4 3 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 2 2\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 2 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 1 5\nb5/bbbbbb\n2 1 3 4\nb2b2b/7\n1 4 1 2\n#",
"b1/1b\n1 1 0 4\nb5/bbbbbb\n2 4 0 4\nb2b2b/7\n1 4 3 2\n#",
"bb/11\n1 1 1 4\nb5/bbbbbb\n2 6 0 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n1 1 1 1\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/1b\n1 1 2 1\nb5/bbbbbb\n2 9 0 4\nb2b2b/7\n0 4 4 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 5\nb2b2b/7\n1 4 2 3\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 1 5\nb2b2b/7\n1 0 2 11\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 5 1 8\nb2b2b/7\n1 4 5 4\n#",
"b1/1b\n1 1 0 1\nb5/bbbbbb\n2 3 1 5\nb2b2b/7\n1 4 2 4\n#",
"b1/b1\n1 1 1 4\nb5/bbbbbb\n0 7 1 9\nb2b2b/7\n1 4 0 4\n#",
"b1/1b\n1 1 1 4\nb5/bbbbbb\n2 9 0 7\nb2b2b/7\n1 4 2 5\n#",
"b1/1b\n1 1 2 1\nb5/bbbbbb\n0 2 1 7\nb2b2b/7\n1 4 2 2\n#",
"b1/1b\n1 1 0 5\nb5/bbbbbb\n4 0 3 4\nb2b2b/7\n1 4 1 3\n#",
"b1/1b\n0 1 1 4\nb5/bbbbbb\n0 -1 0 3\nb2b2b/7\n1 1 6 4\n#",
"b1/1b\n1 1 1 2\nb5/bbbbbb\n2 4 0 0\n7/2bb2b\n2 -1 4 2\n#"
],
"output": [
"1b/1b\nb2b2/bbb1bb\nb5b/3b3",
"1b/1b\nb2b2/bbb1bb\nb5b/5b1\n",
"1b/1b\nb3b1/bbb1bb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/6b\n",
"1b/1b\nbb4/bbb1bb\nb5b/1b5\n",
"1b/1b\nb5/bbbbbb\nb5b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/3b3\n",
"1b/1b\nbb4/b1bbbb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nb5b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/5b1\n",
"2/1b\nb2b2/bbb1bb\nb5b/1b5\n",
"1b/1b\nb2b2/bbb1bb\nb5b/2b4\n",
"1b/1b\nb5/bbbbbb\nb5b/5b1\n",
"1b/1b\nb5/bbb1bb\nb5b/7\n",
"1b/1b\nb1b3/bbb1bb\nb5b/2b4\n",
"1b/1b\nbb4/bbb1bb\nb5b/3b3\n",
"1b/1b\nb1b3/bbb1bb\nb5b/1b5\n",
"2/1b\nb2b2/bbb1bb\nbb4b/7\n",
"2/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb1b3/bbb1bb\nbb4b/7\n",
"1b/1b\nbb4/bbb1bb\nb5b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/7\n",
"1b/1b\nb4b/bbb1bb\nb5b/3b3\n",
"1b/1b\nb3b1/bbb1bb\nb5b/7\n",
"1b/1b\nb5/bbbbbb\nb5b/1b5\n",
"1b/1b\nb5/bbb1bb\nb5b/4b2\n",
"b1/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb1b3/bbb1bb\nb5b/7\n",
"2/1b\nb5/bbbbbb\nbb4b/7\n",
"b1/1b\nb4b/bbb1bb\nb5b/3b3\n",
"1b/1b\nb5/bbbbbb\nb5b/4b2\n",
"2/1b\nb5/bbb1bb\nbb4b/7\n",
"1b/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/1b\nb2b2/bbb1bb\nbb4b/7\n",
"1b/1b\nbbbbbb/5b\nb2b2b/7\n",
"1b/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb1b3b/7\n",
"1b/1b\nb5/b1bbbb\nb5b/3b3\n",
"1b/1b\nb5/bbbbbb\nb2b3/7\n",
"b1/1b\nbb4/b1bbbb\nb5b/1b5\n",
"1b/1b\nb2b2/b1bbbb\nb5b/7\n",
"b1/1b\nb5/bbbbbb\nb5b/3b3\n",
"1b/1b\nb3b1/bbb1bb\n3b2b/7\n",
"2/1b\nb5/bbbbbb\nb5b/7\n",
"2/1b\nb2b2/bbb1bb\nb5b/7\n",
"b1/1b\nb5/bbb1bb\nb5b/1b5\n",
"1b/1b\nbbbbbb/5b\nb5b/4b2\n",
"b1/1b\nb2b2/bbb1bb\nb2b2b/7\n",
"2/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/1b\nb2b2/bbb1bb\nb1b3b/7\n",
"1b/1b\nb3b1/b1bbbb\nb5b/3b3\n",
"1b/1b\nb2b2/bbb1bb\nb3b1b/7\n",
"b1/1b\nb5/b1bbbb\nb5b/3b3\n",
"b1/1b\nb5/bbbbbb\nb5b/7\n",
"1b/2\nb5/bbbbbb\nb5b/7\n",
"b1/1b\nb3b1/bbb1bb\nb1b3b/7\n",
"1b/1b\nb5/bbb1bb\nb3b2/5b1\n",
"b1/1b\nb3b1/b1bbbb\nb5b/3b3\n",
"2/1b\nbbbbbb/5b\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb3b2/7\n",
"b1/1b\nb5/bbbbbb\nb2b2b/7\n",
"b1/2\nb5/bbbbbb\nb5b/7\n",
"b1/2\nb5/bbbbbb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb2bb2/7\n",
"2/1b\nb5/bbbbbb\n3b2b/7\n",
"1b/1b\nb5/bbb1bb\n3bb2/7\n",
"b1/2\nb5/bbbbbb\n7/b2b2b\n",
"1b/1b\nb5/bbb1bb\n1b1bb2/7\n",
"b1/1b\nbbbbbb/5b\nb2b2b/7\n",
"1b/1b\nbb4/b1bbbb\nb5b/b6\n",
"1b/1b\nb3b1/bbb1bb\nb5b/2b4\n",
"1b/1b\nb5/bbbbbb\nb4bb/7\n",
"1b/1b\nb5/bbbbbb\nbb4b/7\n",
"1b/1b\nbbbbbb/5b\nb5b/1b5\n",
"b1/1b\nb5/bbbbbb\nbb4b/7\n",
"1b/1b\nb5/bbb1bb\nb2b2b/7\n",
"1b/1b\nb3b1/bbb1bb\nb5b/5b1\n",
"2/1b\nbb4/bbb1bb\nb5b/7\n",
"b1/1b\nb5/bbbbbb\nb5b/1b5\n",
"b1/1b\nb5/b1bbbb\nb5b/1b5\n",
"2/1b\nb5/1bbbbb\nbb4b/7\n",
"2/1b\nb5/bbb1bb\nb5b/7\n",
"1b/2\nb5/bbbbb1\nb5b/7\n",
"b1/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"2/bb\nb5/bbbbbb\nb2b2b/7\n",
"1b/1b\nb5/bbb1bb\nb5b/2b4\n",
"1b/1b\nb3b1/bbb1bb\nb2b2b/7\n",
"1b/1b\nb5/bbbb1b\nb5b/7\n",
"2/1b\nb3b1/bb1bbb\nb5b/3b3\n",
"2/b1\nb5/bbbbbb\nb5b/7\n",
"2/1b\nb5/bbbbbb\nb5b/4b2\n",
"2/bb\nb5/bbbbbb\nb5b/1b5\n",
"2/1b\nb5/bbbbbb\nb1b3b/7\n",
"b1/1b\nb5/bbbbbb\n3b2b/7\n",
"1b/1b\nb5/bbb1bb\n7/2bb2b\n"
]
} | 6AIZU
|
p01982 Generalized Leap Years_37819 | Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | #include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int main(){
vector<int> ans(0);
for(;;){
int n,l,r; cin >> n >> l >> r;
if (n == 0 && l == 0 && r == 0) break;
int a[n+1];
fill(a,a+n+1,0);
for(int i = 1; i < n+1; i++){
cin >> a[i];
}
bool flg;
int cnt = 0;
for(int i = l; i <= r; i++){
int x = i;
flg = false;
for(int num = 1; num < n+1; num++){
if (x % a[num] == 0){
flg = true;
if (num % 2 == 1){
cnt++;
break;
}
}
if(flg) break;
}
if (!flg){
if (n % 2 == 0) cnt++;
}
}
ans.push_back(cnt);
}
for(int i = 0; i < ans.size(); i++){
cout << ans[i] << endl;
}
}
| 2C++
| {
"input": [
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1011 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n12\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n9\n12\n9\n3\n17\n0 0 0",
"3 1988 2014\n400\n100\n8\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n6\n7\n21\n9\n3\n13\n0 0 0",
"3 945 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 3505\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n11\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1011 3038\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 1803 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n12\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n8\n21\n9\n3\n13\n0 0 0",
"3 295 2942\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n448\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1769\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1010 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 2633\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 849 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n8\n6\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n1\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n3\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n12\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 3253 3409\n8\n6\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 5720\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n3\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1111 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1111 3333\n2\n5\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 1988 2014\n551\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1724\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n3\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n8\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n2\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n6\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2869 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n14\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n14\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n2\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 1988 3367\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n12\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n12\n8\n9\n3\n13\n0 0 0",
"3 945 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n18\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 2675\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1101 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n9\n11\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n1\n3\n12\n0 0 0",
"3 295 2942\n400\n100\n4\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n448\n100\n4\n1 1000 1370\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n8\n1 1000 1769\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1101 2633\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n1\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n1\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n2\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1101 4526\n2\n3\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 1988 2227\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n8\n21\n9\n3\n13\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 1615 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n3\n8\n21\n14\n3\n13\n0 0 0",
"3 168 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 5720\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 2572\n1\n2 1110 3333\n2\n4\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n3\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n1\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n27\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n5\n10\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n7\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n10\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n2\n9\n5\n13\n0 0 0"
],
"output": [
"7\n1000\n2223\n785",
"7\n1000\n2223\n776\n",
"7\n1000\n3416\n776\n",
"7\n1000\n4416\n776\n",
"7\n1000\n2224\n776\n",
"417\n1000\n3416\n776\n",
"192\n1000\n4416\n776\n",
"417\n1000\n3416\n1093\n",
"414\n1000\n3416\n1093\n",
"7\n1000\n2323\n785\n",
"7\n999\n2223\n776\n",
"7\n481\n4416\n776\n",
"7\n1000\n2224\n1062\n",
"417\n1000\n3416\n789\n",
"7\n1000\n2224\n713\n",
"417\n1000\n3417\n1093\n",
"411\n1000\n3416\n1093\n",
"414\n500\n3416\n1093\n",
"7\n999\n2471\n776\n",
"7\n481\n4416\n782\n",
"411\n1000\n3416\n1111\n",
"7\n481\n4416\n802\n",
"411\n1000\n3416\n1109\n",
"7\n481\n4416\n880\n",
"3\n1000\n2223\n785\n",
"7\n1000\n2223\n790\n",
"259\n1000\n3416\n776\n",
"417\n1000\n5401\n776\n",
"192\n1000\n3395\n776\n",
"417\n1000\n3416\n1100\n",
"417\n1000\n3416\n3108\n",
"414\n1000\n3416\n1159\n",
"7\n1000\n2028\n785\n",
"7\n999\n2223\n927\n",
"7\n481\n4416\n810\n",
"7\n1000\n2224\n1093\n",
"642\n1000\n3416\n789\n",
"6\n1000\n2224\n713\n",
"411\n770\n3416\n1093\n",
"414\n495\n3416\n1093\n",
"7\n1633\n2471\n776\n",
"7\n481\n4416\n1684\n",
"411\n1000\n3416\n1103\n",
"411\n1000\n3416\n1160\n",
"417\n1000\n5401\n774\n",
"417\n1000\n2847\n1100\n",
"417\n1000\n4416\n3108\n",
"7\n481\n3416\n810\n",
"411\n1000\n3416\n124\n",
"7\n1000\n2223\n834\n",
"769\n1000\n5401\n774\n",
"7\n1000\n2224\n1194\n",
"7\n1000\n2223\n3100\n",
"769\n1000\n4501\n774\n",
"7\n724\n2224\n1194\n",
"7\n724\n2224\n1270\n",
"459\n724\n2224\n1270\n",
"459\n1950\n2224\n1270\n",
"459\n1950\n2224\n1153\n",
"459\n1950\n2224\n2831\n",
"499\n1950\n2224\n2831\n",
"499\n1950\n2224\n2811\n",
"499\n1950\n2223\n2811\n",
"499\n1950\n2001\n2811\n",
"6\n1000\n2223\n776\n",
"192\n725\n4416\n776\n",
"417\n1000\n2847\n1093\n",
"3\n999\n2223\n776\n",
"417\n500\n3416\n789\n",
"285\n1000\n3417\n1093\n",
"411\n1000\n3416\n419\n",
"414\n500\n3416\n1142\n",
"7\n999\n2471\n852\n",
"7\n241\n4416\n782\n",
"335\n481\n4416\n802\n",
"411\n1000\n3416\n1171\n",
"259\n1000\n3416\n815\n",
"417\n1000\n3416\n528\n",
"417\n1000\n3426\n3108\n",
"414\n1000\n3416\n1230\n",
"7\n481\n4416\n201\n",
"642\n1000\n3417\n789\n",
"6\n371\n2224\n713\n",
"207\n770\n3416\n1093\n",
"7\n1533\n2471\n776\n",
"1681\n1000\n3416\n1160\n",
"7\n1000\n2223\n860\n",
"426\n1000\n5401\n774\n",
"417\n1000\n2855\n1100\n",
"59\n1000\n2224\n1093\n",
"769\n1000\n5401\n1073\n",
"7\n1000\n2224\n1149\n",
"458\n1000\n2223\n3100\n",
"7\n1573\n2224\n1194\n",
"7\n724\n1853\n1270\n",
"459\n724\n1112\n1270\n",
"459\n1950\n2224\n1284\n",
"459\n1950\n2224\n1144\n",
"459\n1950\n2224\n2840\n",
"499\n1950\n2224\n3118\n",
"499\n1950\n2224\n2786\n"
]
} | 6AIZU
|
p01982 Generalized Leap Years_37820 | Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | def solve(n ,l, r, A):
res = 0
for x in range(l, r+1):
for i in range(n):
if (not x%A[i]) :
res += 0 if (i&1) else 1
break
else:
res += 0 if (n&1) else 1
return res
def main():
ans = []
while True:
n, l, r = map(int, input().split())
if (not n) and (not l) and (not r):
break
A = [int(input()) for i in range(n)]
ans.append(solve(n,l,r,A))
for i in ans:
print(i)
main()
| 3Python3
| {
"input": [
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1011 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n12\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n9\n12\n9\n3\n17\n0 0 0",
"3 1988 2014\n400\n100\n8\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n6\n7\n21\n9\n3\n13\n0 0 0",
"3 945 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 3505\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n11\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1011 3038\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 1803 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n12\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n8\n21\n9\n3\n13\n0 0 0",
"3 295 2942\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n448\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1769\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1010 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 2633\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 849 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n8\n6\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n1\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n3\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n12\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 3253 3409\n8\n6\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 5720\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n3\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1111 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1111 3333\n2\n5\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 1988 2014\n551\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1724\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n3\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n8\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n2\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n6\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2869 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n14\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n14\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n2\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 1988 3367\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n12\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n12\n8\n9\n3\n13\n0 0 0",
"3 945 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n18\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 2675\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1101 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n9\n11\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n1\n3\n12\n0 0 0",
"3 295 2942\n400\n100\n4\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n448\n100\n4\n1 1000 1370\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n8\n1 1000 1769\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1101 2633\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n1\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n1\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n2\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1101 4526\n2\n3\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 1988 2227\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n8\n21\n9\n3\n13\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 1615 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n3\n8\n21\n14\n3\n13\n0 0 0",
"3 168 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 5720\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 2572\n1\n2 1110 3333\n2\n4\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n3\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n1\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n27\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n5\n10\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n7\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n10\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n2\n9\n5\n13\n0 0 0"
],
"output": [
"7\n1000\n2223\n785",
"7\n1000\n2223\n776\n",
"7\n1000\n3416\n776\n",
"7\n1000\n4416\n776\n",
"7\n1000\n2224\n776\n",
"417\n1000\n3416\n776\n",
"192\n1000\n4416\n776\n",
"417\n1000\n3416\n1093\n",
"414\n1000\n3416\n1093\n",
"7\n1000\n2323\n785\n",
"7\n999\n2223\n776\n",
"7\n481\n4416\n776\n",
"7\n1000\n2224\n1062\n",
"417\n1000\n3416\n789\n",
"7\n1000\n2224\n713\n",
"417\n1000\n3417\n1093\n",
"411\n1000\n3416\n1093\n",
"414\n500\n3416\n1093\n",
"7\n999\n2471\n776\n",
"7\n481\n4416\n782\n",
"411\n1000\n3416\n1111\n",
"7\n481\n4416\n802\n",
"411\n1000\n3416\n1109\n",
"7\n481\n4416\n880\n",
"3\n1000\n2223\n785\n",
"7\n1000\n2223\n790\n",
"259\n1000\n3416\n776\n",
"417\n1000\n5401\n776\n",
"192\n1000\n3395\n776\n",
"417\n1000\n3416\n1100\n",
"417\n1000\n3416\n3108\n",
"414\n1000\n3416\n1159\n",
"7\n1000\n2028\n785\n",
"7\n999\n2223\n927\n",
"7\n481\n4416\n810\n",
"7\n1000\n2224\n1093\n",
"642\n1000\n3416\n789\n",
"6\n1000\n2224\n713\n",
"411\n770\n3416\n1093\n",
"414\n495\n3416\n1093\n",
"7\n1633\n2471\n776\n",
"7\n481\n4416\n1684\n",
"411\n1000\n3416\n1103\n",
"411\n1000\n3416\n1160\n",
"417\n1000\n5401\n774\n",
"417\n1000\n2847\n1100\n",
"417\n1000\n4416\n3108\n",
"7\n481\n3416\n810\n",
"411\n1000\n3416\n124\n",
"7\n1000\n2223\n834\n",
"769\n1000\n5401\n774\n",
"7\n1000\n2224\n1194\n",
"7\n1000\n2223\n3100\n",
"769\n1000\n4501\n774\n",
"7\n724\n2224\n1194\n",
"7\n724\n2224\n1270\n",
"459\n724\n2224\n1270\n",
"459\n1950\n2224\n1270\n",
"459\n1950\n2224\n1153\n",
"459\n1950\n2224\n2831\n",
"499\n1950\n2224\n2831\n",
"499\n1950\n2224\n2811\n",
"499\n1950\n2223\n2811\n",
"499\n1950\n2001\n2811\n",
"6\n1000\n2223\n776\n",
"192\n725\n4416\n776\n",
"417\n1000\n2847\n1093\n",
"3\n999\n2223\n776\n",
"417\n500\n3416\n789\n",
"285\n1000\n3417\n1093\n",
"411\n1000\n3416\n419\n",
"414\n500\n3416\n1142\n",
"7\n999\n2471\n852\n",
"7\n241\n4416\n782\n",
"335\n481\n4416\n802\n",
"411\n1000\n3416\n1171\n",
"259\n1000\n3416\n815\n",
"417\n1000\n3416\n528\n",
"417\n1000\n3426\n3108\n",
"414\n1000\n3416\n1230\n",
"7\n481\n4416\n201\n",
"642\n1000\n3417\n789\n",
"6\n371\n2224\n713\n",
"207\n770\n3416\n1093\n",
"7\n1533\n2471\n776\n",
"1681\n1000\n3416\n1160\n",
"7\n1000\n2223\n860\n",
"426\n1000\n5401\n774\n",
"417\n1000\n2855\n1100\n",
"59\n1000\n2224\n1093\n",
"769\n1000\n5401\n1073\n",
"7\n1000\n2224\n1149\n",
"458\n1000\n2223\n3100\n",
"7\n1573\n2224\n1194\n",
"7\n724\n1853\n1270\n",
"459\n724\n1112\n1270\n",
"459\n1950\n2224\n1284\n",
"459\n1950\n2224\n1144\n",
"459\n1950\n2224\n2840\n",
"499\n1950\n2224\n3118\n",
"499\n1950\n2224\n2786\n"
]
} | 6AIZU
|
p01982 Generalized Leap Years_37821 | Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | import java.util.*;
import java.io.*;
public class Main{
public static void main(String[] args){
Scanner ir=new Scanner(System.in);
for(;;){
int n=ir.nextInt();
int l=ir.nextInt();
int r=ir.nextInt();
if(n==0){
return;
}
int[] a=new int[n];
for(int i=0;i<n;i++){
a[i]=ir.nextInt();
}
int ct=0;
outer:
for(int i=l;i<=r;i++){
for(int j=0;j<n;j++){
if(i%a[j]==0){
if(j%2==0){
ct++;
}
continue outer;
}
}
if(n%2==0){
ct++;
}
}
System.out.println(ct);
}
}
}
| 4JAVA
| {
"input": [
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1011 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n12\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n9\n12\n9\n3\n17\n0 0 0",
"3 1988 2014\n400\n100\n8\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n6\n7\n21\n9\n3\n13\n0 0 0",
"3 945 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 3505\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n11\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1011 3038\n2\n2\n6 2000 3000\n5\n7\n11\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 1803 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n12\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n8\n21\n9\n3\n13\n0 0 0",
"3 295 2942\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n448\n100\n4\n1 1000 1999\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1769\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1010 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 2633\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 849 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n8\n6\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n1\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n3\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 0111 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n12\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 3253 3409\n8\n6\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 5720\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n3\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1111 3333\n2\n4\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1111 3333\n2\n5\n6 6 3370\n2\n5\n21\n9\n5\n13\n0 0 0",
"3 1988 2014\n551\n100\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1221 2014\n400\n100\n4\n1 1000 1724\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n3\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n8\n1 1001 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n2\n2 1111 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n6\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2869 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n2\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n14\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1001 1999\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n14\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n2\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n17\n0 0 0",
"3 1988 3367\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n12\n9\n3\n17\n0 0 0",
"3 322 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n12\n8\n9\n3\n13\n0 0 0",
"3 945 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n18\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1111 4526\n2\n2\n6 2000 2675\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1101 4526\n1\n2\n6 2000 6013\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n695\n100\n4\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n9\n11\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1000 1480\n1\n2 0111 4526\n2\n2\n6 2000 3000\n5\n7\n21\n1\n3\n12\n0 0 0",
"3 295 2942\n400\n100\n4\n1 1000 1999\n1\n2 1110 4526\n2\n2\n6 2000 3000\n4\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n448\n100\n4\n1 1000 1370\n1\n2 1110 3333\n2\n4\n6 2000 3000\n5\n4\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n8\n1 1000 1769\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n100\n4\n1 1101 2633\n1\n2 1111 3581\n2\n2\n6 2000 3000\n5\n7\n21\n9\n3\n13\n0 0 0",
"3 322 2014\n400\n100\n1\n1 1000 1999\n1\n2 1111 4526\n1\n2\n6 2000 3409\n5\n6\n8\n9\n1\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 3000\n2\n7\n21\n9\n3\n13\n0 0 0",
"3 295 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 2000 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 295 2014\n400\n100\n4\n1 1000 1999\n1\n2 1101 4526\n2\n3\n6 2000 3409\n5\n7\n17\n9\n3\n13\n0 0 0",
"3 1988 2227\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n5\n8\n21\n9\n3\n13\n0 0 0",
"3 295 3464\n400\n100\n4\n1 1000 1999\n1\n2 1111 6511\n2\n2\n6 1615 3000\n5\n7\n21\n9\n4\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1999\n1\n2 1110 3333\n2\n2\n6 2000 3370\n3\n8\n21\n14\n3\n13\n0 0 0",
"3 168 2014\n400\n101\n4\n1 1000 1999\n1\n2 1111 3333\n2\n2\n6 2000 5720\n6\n7\n21\n9\n3\n7\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 2572\n1\n2 1110 3333\n2\n4\n6 2000 3370\n3\n8\n21\n9\n3\n13\n0 0 0",
"3 1988 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n3\n4\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 1723\n1\n2 1110 3333\n2\n1\n6 2000 3370\n2\n8\n21\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n8\n27\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 2000 3370\n2\n5\n10\n9\n3\n13\n0 0 0",
"3 164 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n21\n7\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n10\n21\n9\n3\n13\n0 0 0",
"3 3 2014\n400\n101\n4\n1 1000 2949\n1\n2 1110 3333\n2\n4\n6 6 3370\n2\n5\n2\n9\n5\n13\n0 0 0"
],
"output": [
"7\n1000\n2223\n785",
"7\n1000\n2223\n776\n",
"7\n1000\n3416\n776\n",
"7\n1000\n4416\n776\n",
"7\n1000\n2224\n776\n",
"417\n1000\n3416\n776\n",
"192\n1000\n4416\n776\n",
"417\n1000\n3416\n1093\n",
"414\n1000\n3416\n1093\n",
"7\n1000\n2323\n785\n",
"7\n999\n2223\n776\n",
"7\n481\n4416\n776\n",
"7\n1000\n2224\n1062\n",
"417\n1000\n3416\n789\n",
"7\n1000\n2224\n713\n",
"417\n1000\n3417\n1093\n",
"411\n1000\n3416\n1093\n",
"414\n500\n3416\n1093\n",
"7\n999\n2471\n776\n",
"7\n481\n4416\n782\n",
"411\n1000\n3416\n1111\n",
"7\n481\n4416\n802\n",
"411\n1000\n3416\n1109\n",
"7\n481\n4416\n880\n",
"3\n1000\n2223\n785\n",
"7\n1000\n2223\n790\n",
"259\n1000\n3416\n776\n",
"417\n1000\n5401\n776\n",
"192\n1000\n3395\n776\n",
"417\n1000\n3416\n1100\n",
"417\n1000\n3416\n3108\n",
"414\n1000\n3416\n1159\n",
"7\n1000\n2028\n785\n",
"7\n999\n2223\n927\n",
"7\n481\n4416\n810\n",
"7\n1000\n2224\n1093\n",
"642\n1000\n3416\n789\n",
"6\n1000\n2224\n713\n",
"411\n770\n3416\n1093\n",
"414\n495\n3416\n1093\n",
"7\n1633\n2471\n776\n",
"7\n481\n4416\n1684\n",
"411\n1000\n3416\n1103\n",
"411\n1000\n3416\n1160\n",
"417\n1000\n5401\n774\n",
"417\n1000\n2847\n1100\n",
"417\n1000\n4416\n3108\n",
"7\n481\n3416\n810\n",
"411\n1000\n3416\n124\n",
"7\n1000\n2223\n834\n",
"769\n1000\n5401\n774\n",
"7\n1000\n2224\n1194\n",
"7\n1000\n2223\n3100\n",
"769\n1000\n4501\n774\n",
"7\n724\n2224\n1194\n",
"7\n724\n2224\n1270\n",
"459\n724\n2224\n1270\n",
"459\n1950\n2224\n1270\n",
"459\n1950\n2224\n1153\n",
"459\n1950\n2224\n2831\n",
"499\n1950\n2224\n2831\n",
"499\n1950\n2224\n2811\n",
"499\n1950\n2223\n2811\n",
"499\n1950\n2001\n2811\n",
"6\n1000\n2223\n776\n",
"192\n725\n4416\n776\n",
"417\n1000\n2847\n1093\n",
"3\n999\n2223\n776\n",
"417\n500\n3416\n789\n",
"285\n1000\n3417\n1093\n",
"411\n1000\n3416\n419\n",
"414\n500\n3416\n1142\n",
"7\n999\n2471\n852\n",
"7\n241\n4416\n782\n",
"335\n481\n4416\n802\n",
"411\n1000\n3416\n1171\n",
"259\n1000\n3416\n815\n",
"417\n1000\n3416\n528\n",
"417\n1000\n3426\n3108\n",
"414\n1000\n3416\n1230\n",
"7\n481\n4416\n201\n",
"642\n1000\n3417\n789\n",
"6\n371\n2224\n713\n",
"207\n770\n3416\n1093\n",
"7\n1533\n2471\n776\n",
"1681\n1000\n3416\n1160\n",
"7\n1000\n2223\n860\n",
"426\n1000\n5401\n774\n",
"417\n1000\n2855\n1100\n",
"59\n1000\n2224\n1093\n",
"769\n1000\n5401\n1073\n",
"7\n1000\n2224\n1149\n",
"458\n1000\n2223\n3100\n",
"7\n1573\n2224\n1194\n",
"7\n724\n1853\n1270\n",
"459\n724\n1112\n1270\n",
"459\n1950\n2224\n1284\n",
"459\n1950\n2224\n1144\n",
"459\n1950\n2224\n2840\n",
"499\n1950\n2224\n3118\n",
"499\n1950\n2224\n2786\n"
]
} | 6AIZU
|
p02128 Light_37822 | Problem
There are $ N $ streetlights on a two-dimensional square of $ W \ times H $.
Gaccho wants to start with $ (1,1) $ and go to $ (W, H) $.
Gaccho is afraid of dark places, so he only wants to walk in the squares that are brightened by the streetlights.
Initially, all streetlights only brighten the squares with the streetlights.
So, Gaccho decided to set the cost $ r_i $ for his favorite streetlight $ i $. There may be street lights for which no cost is set.
By consuming the cost $ r_i $, the streetlight $ i $ can brighten the range within $ r_i $ in Manhattan distance around the streetlight. However, the cost is a positive integer.
Gaccho can move to the adjacent square in either the up, down, left, or right direction.
Gaccho decided to set the total value of $ r_i $ to be the minimum. Find the total value at that time.
The Manhattan distance between two points $ (a, b) $ and $ (c, d) $ is represented by $ | a−c | $ + $ | b−d | $.
Constraints
The input satisfies the following conditions.
* $ 1 \ leq W \ leq 500 $
* $ 1 \ leq H \ leq 500 $
* $ 1 \ leq N \ leq 100 $
* $ 1 \ leq N \ leq W \ times H $
* $ 1 \ leq $$ x_i $$ \ leq W $
* $ 1 \ leq $$ y_i $$ \ leq H $
* There are no multiple streetlights at the same coordinates
Input
The input is given in the following format.
$ W $ $ H $ $ N $
$ x_1 $ $ y_1 $
...
$ x_N $ $ y_N $
All inputs are given as integers.
$ W $, $ H $, and $ N $ are given on the first line, separated by blanks.
In the following $ N $ line, the coordinates $ ($$ x_i $, $ y_i $$) $ of the streetlight $ i $ are given, separated by blanks.
Output
Output the minimum value of the total value of $ r_i $ on one line.
Examples
Input
10 10 1
6 6
Output
10
Input
5 10 3
3 9
2 8
5 1
Output
8
Input
1 1 1
1 1
Output
0 | // {{{
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdint>
#include <cstdio>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <tuple>
#include <utility>
#include <vector>
using namespace std;
// }}}
using ll = long long;
struct point {
int x, y;
point () {}
point (int x, int y): x(x), y(y) {}
bool operator < (const point& o) const {
return x+y < o.x+o.y;
}
};
int INF = 1LL << 29;
int W, H, N;
point pv[500];
int main() {
cin >> H >> W >> N;
for (int j = 0; j < N; ++j) { cin >> pv[j].x >> pv[j].y; }
sort(pv, pv+N);
int mm[505][505];
for (int j = 0; j <= H; ++j) { fill(mm[j], mm[j]+W+1, INF); }
mm[0][1] = mm[1][0] = 0;
for (int n = 0; n < N; ++n) {
int x = pv[n].x, y = pv[n].y;
int mc = INF;
vector<int> cv;
for (int d = 1; d <= H+W+1; ++d) {
for (int dx = -d; dx <= d; ++dx) {
int px = x + dx, py = y + d - abs(dx);
if (0 <= px && px <= H && 0 <= py && py <= W) {
mc = min(mc, mm[px][py]);
}
py = y - d + abs(dx);
if (0 <= px && px <= H && 0 <= py && py <= W) {
mc = min(mc, mm[px][py]);
}
}
cv.push_back(mc + d - 1);
}
for (int i = H+W-1; i >= 0; --i) {
cv[i] = min(cv[i], cv[i+1]);
}
for (int d = 0; d <= H+W; ++d) {
for (int dx = -d; dx <= d; ++dx) {
int dy = d - abs(dx);
int px = x + dx, py = y + dy;
if (1 <= px && px <= H && 1 <= py && py <= W) {
mm[px][py] = min(mm[px][py], cv[d]);
}
py = y - dy;
if (1 <= px && px <= H && 1 <= py && py <= W) {
mm[px][py] = min(mm[px][py], cv[d]);
}
}
}
}
cout << mm[H][W] << endl;
return 0;
}
| 2C++
| {
"input": [
"1 1 1\n1 1",
"5 10 3\n3 9\n2 8\n5 1",
"10 10 1\n6 6",
"5 10 3\n3 9\n2 8\n2 1",
"8 10 1\n6 6",
"5 10 3\n3 9\n2 8\n1 1",
"10 10 3\n3 9\n2 8\n1 1",
"5 10 3\n1 9\n2 8\n5 1",
"10 10 1\n6 2",
"13 10 3\n3 9\n2 6\n1 1",
"5 19 3\n2 9\n2 8\n1 1",
"26 10 3\n3 9\n2 6\n1 1",
"10 19 3\n1 9\n0 4\n1 1",
"24 4 1\n6 2",
"10 19 3\n2 9\n0 4\n1 1",
"2 19 3\n2 3\n0 4\n1 1",
"12 20 1\n3 8\n0 8\n3 0",
"12 16 1\n3 8\n0 5\n3 0",
"12 16 1\n5 8\n0 5\n5 0",
"12 16 1\n5 9\n-1 5\n5 0",
"12 31 1\n5 9\n-1 5\n7 0",
"12 31 1\n5 1\n-2 1\n7 0",
"12 31 1\n9 1\n-2 1\n7 0",
"5 33 3\n2 9\n2 8\n1 1",
"10 19 3\n2 3\n0 6\n1 1",
"12 16 1\n5 1\n-1 5\n5 0",
"12 31 1\n0 9\n-1 5\n7 0",
"24 31 1\n9 1\n-2 1\n7 0",
"12 25 1\n3 8\n0 1\n3 0",
"3 31 1\n0 9\n-1 5\n7 0",
"24 31 1\n9 0\n-2 1\n7 0",
"12 50 1\n9 1\n0 1\n-1 0",
"22 50 1\n9 1\n0 1\n-1 0",
"5 48 3\n2 9\n2 13\n1 2",
"10 28 3\n2 8\n0 2\n2 1",
"12 31 1\n3 8\n0 1\n3 -1",
"9 48 3\n2 9\n2 13\n1 2",
"13 49 3\n2 9\n2 13\n1 2",
"36 11 1\n1 7\n0 1\n5 0",
"3 36 1\n-1 9\n-2 5\n3 0",
"13 49 3\n2 9\n0 13\n1 2",
"18 48 1\n2 8\n1 2\n3 -1",
"13 49 3\n2 7\n0 9\n1 2",
"43 16 2\n4 7\n-1 8\n10 0",
"18 48 1\n2 13\n1 2\n3 0",
"19 21 2\n0 3\n-1 11\n1 1",
"18 48 1\n2 21\n1 2\n3 0",
"18 48 1\n2 35\n1 2\n3 0",
"12 31 1\n5 2\n-1 1\n14 0",
"2 10 3\n1 4\n2 8\n5 1",
"23 31 1\n9 1\n0 1\n7 -1",
"24 50 1\n9 1\n0 1\n-1 0",
"34 50 1\n9 1\n0 1\n-2 -1",
"55 11 1\n1 7\n0 1\n5 0",
"27 21 2\n0 7\n0 8\n1 0",
"19 48 1\n2 8\n1 2\n3 -1",
"13 42 1\n2 3\n0 9\n0 2",
"10 10 3\n3 9\n2 6\n1 1",
"10 10 3\n3 9\n0 6\n1 1",
"7 10 3\n3 9\n2 8\n2 1",
"8 10 1\n6 8",
"5 19 3\n3 9\n2 8\n1 1",
"10 10 3\n3 11\n2 8\n1 1",
"10 10 3\n3 9\n0 5\n1 1",
"10 3 1\n6 2",
"7 10 3\n3 9\n3 8\n2 1",
"8 10 1\n6 5",
"10 10 3\n3 11\n0 8\n1 1",
"10 10 3\n1 9\n0 5\n1 1",
"10 4 1\n6 2",
"7 10 3\n3 9\n3 2\n2 1",
"8 6 1\n6 5",
"10 10 3\n3 6\n0 8\n1 1",
"10 10 3\n1 9\n0 4\n1 1",
"13 4 1\n6 2",
"8 6 1\n6 8",
"10 10 3\n3 6\n0 8\n2 1",
"10 10 3\n3 6\n0 8\n3 1",
"10 10 1\n3 6\n0 8\n3 1",
"10 19 3\n2 8\n0 4\n1 1",
"10 10 1\n3 6\n0 8\n3 0",
"10 19 3\n2 3\n0 4\n1 1",
"10 11 1\n3 6\n0 8\n3 0",
"10 11 1\n3 8\n0 8\n3 0",
"12 11 1\n3 8\n0 8\n3 0",
"12 20 1\n3 8\n0 5\n3 0",
"12 16 1\n3 8\n0 5\n5 0",
"12 16 1\n4 8\n0 5\n5 0",
"12 16 1\n5 8\n-1 5\n5 0",
"12 16 1\n5 7\n-1 5\n5 0",
"12 16 1\n5 9\n-1 5\n7 0",
"12 31 1\n5 9\n-1 1\n7 0",
"12 31 1\n5 9\n-2 1\n7 0",
"12 31 1\n9 1\n-2 1\n0 0",
"12 31 1\n9 1\n0 1\n0 0",
"12 31 1\n9 1\n0 1\n-1 0",
"4 10 1\n6 6",
"5 10 3\n3 9\n2 11\n2 1",
"8 11 1\n6 6",
"5 10 3\n5 9\n2 8\n1 1",
"10 12 3\n3 9\n2 8\n1 1",
"11 10 3\n3 9\n2 6\n1 1",
"5 10 3\n1 4\n2 8\n5 1"
],
"output": [
"0",
"8",
"10",
"6\n",
"10\n",
"7\n",
"9\n",
"8\n",
"12\n",
"11\n",
"13\n",
"24\n",
"19\n",
"20\n",
"18\n",
"16\n",
"21\n",
"17\n",
"15\n",
"14\n",
"29\n",
"37\n",
"33\n",
"27\n",
"23\n",
"22\n",
"34\n",
"45\n",
"26\n",
"25\n",
"46\n",
"52\n",
"62\n",
"38\n",
"28\n",
"32\n",
"42\n",
"47\n",
"39\n",
"31\n",
"49\n",
"56\n",
"53\n",
"48\n",
"51\n",
"30\n",
"43\n",
"35\n",
"36\n",
"5\n",
"44\n",
"64\n",
"74\n",
"58\n",
"40\n",
"57\n",
"50\n",
"9\n",
"9\n",
"8\n",
"12\n",
"12\n",
"10\n",
"9\n",
"6\n",
"7\n",
"9\n",
"11\n",
"10\n",
"6\n",
"7\n",
"9\n",
"11\n",
"10\n",
"9\n",
"12\n",
"11\n",
"11\n",
"11\n",
"19\n",
"11\n",
"24\n",
"12\n",
"10\n",
"12\n",
"21\n",
"17\n",
"16\n",
"15\n",
"16\n",
"14\n",
"29\n",
"29\n",
"33\n",
"33\n",
"33\n",
"10\n",
"8\n",
"10\n",
"7\n",
"10\n",
"9\n",
"8\n"
]
} | 6AIZU
|
p02128 Light_37823 | Problem
There are $ N $ streetlights on a two-dimensional square of $ W \ times H $.
Gaccho wants to start with $ (1,1) $ and go to $ (W, H) $.
Gaccho is afraid of dark places, so he only wants to walk in the squares that are brightened by the streetlights.
Initially, all streetlights only brighten the squares with the streetlights.
So, Gaccho decided to set the cost $ r_i $ for his favorite streetlight $ i $. There may be street lights for which no cost is set.
By consuming the cost $ r_i $, the streetlight $ i $ can brighten the range within $ r_i $ in Manhattan distance around the streetlight. However, the cost is a positive integer.
Gaccho can move to the adjacent square in either the up, down, left, or right direction.
Gaccho decided to set the total value of $ r_i $ to be the minimum. Find the total value at that time.
The Manhattan distance between two points $ (a, b) $ and $ (c, d) $ is represented by $ | a−c | $ + $ | b−d | $.
Constraints
The input satisfies the following conditions.
* $ 1 \ leq W \ leq 500 $
* $ 1 \ leq H \ leq 500 $
* $ 1 \ leq N \ leq 100 $
* $ 1 \ leq N \ leq W \ times H $
* $ 1 \ leq $$ x_i $$ \ leq W $
* $ 1 \ leq $$ y_i $$ \ leq H $
* There are no multiple streetlights at the same coordinates
Input
The input is given in the following format.
$ W $ $ H $ $ N $
$ x_1 $ $ y_1 $
...
$ x_N $ $ y_N $
All inputs are given as integers.
$ W $, $ H $, and $ N $ are given on the first line, separated by blanks.
In the following $ N $ line, the coordinates $ ($$ x_i $, $ y_i $$) $ of the streetlight $ i $ are given, separated by blanks.
Output
Output the minimum value of the total value of $ r_i $ on one line.
Examples
Input
10 10 1
6 6
Output
10
Input
5 10 3
3 9
2 8
5 1
Output
8
Input
1 1 1
1 1
Output
0 | import heapq
class point:
def __init__(self, total, use, place):
self.total = total
self.use = use
self.place = place
def __lt__(self, other):
return self.total < other.total or (self.total == other.total and self.use > self.use)
w, h, n = map(int, input().split())
if w == h == 1:
print(0)
exit()
lights = [list(map(int, input().split())) for _ in range(n)]
que = []
mins = []
for i, j in enumerate(lights):
dis = j[0] + j[1] - 2
heapq.heappush(que, point(dis, dis, i))
mins.append(point(dis, dis, i))
ans = 100000
while que:
top = heapq.heappop(que)
ans = min(ans, top.total + max(0, abs(w - lights[top.place][0]) + abs(h - lights[top.place][1]) - top.use))
for i in range(len(lights)):
dis = abs(lights[top.place][0] - lights[i][0]) + abs(lights[top.place][1] - lights[i][1]) - 1
use = max(0, dis - top.use)
total = top.total + use
new = point(total, use, i)
if mins[i] > new:
mins[i] = new
heapq.heappush(que, new)
print(ans)
| 3Python3
| {
"input": [
"1 1 1\n1 1",
"5 10 3\n3 9\n2 8\n5 1",
"10 10 1\n6 6",
"5 10 3\n3 9\n2 8\n2 1",
"8 10 1\n6 6",
"5 10 3\n3 9\n2 8\n1 1",
"10 10 3\n3 9\n2 8\n1 1",
"5 10 3\n1 9\n2 8\n5 1",
"10 10 1\n6 2",
"13 10 3\n3 9\n2 6\n1 1",
"5 19 3\n2 9\n2 8\n1 1",
"26 10 3\n3 9\n2 6\n1 1",
"10 19 3\n1 9\n0 4\n1 1",
"24 4 1\n6 2",
"10 19 3\n2 9\n0 4\n1 1",
"2 19 3\n2 3\n0 4\n1 1",
"12 20 1\n3 8\n0 8\n3 0",
"12 16 1\n3 8\n0 5\n3 0",
"12 16 1\n5 8\n0 5\n5 0",
"12 16 1\n5 9\n-1 5\n5 0",
"12 31 1\n5 9\n-1 5\n7 0",
"12 31 1\n5 1\n-2 1\n7 0",
"12 31 1\n9 1\n-2 1\n7 0",
"5 33 3\n2 9\n2 8\n1 1",
"10 19 3\n2 3\n0 6\n1 1",
"12 16 1\n5 1\n-1 5\n5 0",
"12 31 1\n0 9\n-1 5\n7 0",
"24 31 1\n9 1\n-2 1\n7 0",
"12 25 1\n3 8\n0 1\n3 0",
"3 31 1\n0 9\n-1 5\n7 0",
"24 31 1\n9 0\n-2 1\n7 0",
"12 50 1\n9 1\n0 1\n-1 0",
"22 50 1\n9 1\n0 1\n-1 0",
"5 48 3\n2 9\n2 13\n1 2",
"10 28 3\n2 8\n0 2\n2 1",
"12 31 1\n3 8\n0 1\n3 -1",
"9 48 3\n2 9\n2 13\n1 2",
"13 49 3\n2 9\n2 13\n1 2",
"36 11 1\n1 7\n0 1\n5 0",
"3 36 1\n-1 9\n-2 5\n3 0",
"13 49 3\n2 9\n0 13\n1 2",
"18 48 1\n2 8\n1 2\n3 -1",
"13 49 3\n2 7\n0 9\n1 2",
"43 16 2\n4 7\n-1 8\n10 0",
"18 48 1\n2 13\n1 2\n3 0",
"19 21 2\n0 3\n-1 11\n1 1",
"18 48 1\n2 21\n1 2\n3 0",
"18 48 1\n2 35\n1 2\n3 0",
"12 31 1\n5 2\n-1 1\n14 0",
"2 10 3\n1 4\n2 8\n5 1",
"23 31 1\n9 1\n0 1\n7 -1",
"24 50 1\n9 1\n0 1\n-1 0",
"34 50 1\n9 1\n0 1\n-2 -1",
"55 11 1\n1 7\n0 1\n5 0",
"27 21 2\n0 7\n0 8\n1 0",
"19 48 1\n2 8\n1 2\n3 -1",
"13 42 1\n2 3\n0 9\n0 2",
"10 10 3\n3 9\n2 6\n1 1",
"10 10 3\n3 9\n0 6\n1 1",
"7 10 3\n3 9\n2 8\n2 1",
"8 10 1\n6 8",
"5 19 3\n3 9\n2 8\n1 1",
"10 10 3\n3 11\n2 8\n1 1",
"10 10 3\n3 9\n0 5\n1 1",
"10 3 1\n6 2",
"7 10 3\n3 9\n3 8\n2 1",
"8 10 1\n6 5",
"10 10 3\n3 11\n0 8\n1 1",
"10 10 3\n1 9\n0 5\n1 1",
"10 4 1\n6 2",
"7 10 3\n3 9\n3 2\n2 1",
"8 6 1\n6 5",
"10 10 3\n3 6\n0 8\n1 1",
"10 10 3\n1 9\n0 4\n1 1",
"13 4 1\n6 2",
"8 6 1\n6 8",
"10 10 3\n3 6\n0 8\n2 1",
"10 10 3\n3 6\n0 8\n3 1",
"10 10 1\n3 6\n0 8\n3 1",
"10 19 3\n2 8\n0 4\n1 1",
"10 10 1\n3 6\n0 8\n3 0",
"10 19 3\n2 3\n0 4\n1 1",
"10 11 1\n3 6\n0 8\n3 0",
"10 11 1\n3 8\n0 8\n3 0",
"12 11 1\n3 8\n0 8\n3 0",
"12 20 1\n3 8\n0 5\n3 0",
"12 16 1\n3 8\n0 5\n5 0",
"12 16 1\n4 8\n0 5\n5 0",
"12 16 1\n5 8\n-1 5\n5 0",
"12 16 1\n5 7\n-1 5\n5 0",
"12 16 1\n5 9\n-1 5\n7 0",
"12 31 1\n5 9\n-1 1\n7 0",
"12 31 1\n5 9\n-2 1\n7 0",
"12 31 1\n9 1\n-2 1\n0 0",
"12 31 1\n9 1\n0 1\n0 0",
"12 31 1\n9 1\n0 1\n-1 0",
"4 10 1\n6 6",
"5 10 3\n3 9\n2 11\n2 1",
"8 11 1\n6 6",
"5 10 3\n5 9\n2 8\n1 1",
"10 12 3\n3 9\n2 8\n1 1",
"11 10 3\n3 9\n2 6\n1 1",
"5 10 3\n1 4\n2 8\n5 1"
],
"output": [
"0",
"8",
"10",
"6\n",
"10\n",
"7\n",
"9\n",
"8\n",
"12\n",
"11\n",
"13\n",
"24\n",
"19\n",
"20\n",
"18\n",
"16\n",
"21\n",
"17\n",
"15\n",
"14\n",
"29\n",
"37\n",
"33\n",
"27\n",
"23\n",
"22\n",
"34\n",
"45\n",
"26\n",
"25\n",
"46\n",
"52\n",
"62\n",
"38\n",
"28\n",
"32\n",
"42\n",
"47\n",
"39\n",
"31\n",
"49\n",
"56\n",
"53\n",
"48\n",
"51\n",
"30\n",
"43\n",
"35\n",
"36\n",
"5\n",
"44\n",
"64\n",
"74\n",
"58\n",
"40\n",
"57\n",
"50\n",
"9\n",
"9\n",
"8\n",
"12\n",
"12\n",
"10\n",
"9\n",
"6\n",
"7\n",
"9\n",
"11\n",
"10\n",
"6\n",
"7\n",
"9\n",
"11\n",
"10\n",
"9\n",
"12\n",
"11\n",
"11\n",
"11\n",
"19\n",
"11\n",
"24\n",
"12\n",
"10\n",
"12\n",
"21\n",
"17\n",
"16\n",
"15\n",
"16\n",
"14\n",
"29\n",
"29\n",
"33\n",
"33\n",
"33\n",
"10\n",
"8\n",
"10\n",
"7\n",
"10\n",
"9\n",
"8\n"
]
} | 6AIZU
|
p02269 Dictionary_37824 | Your task is to write a program of a simple dictionary which implements the following instructions:
* insert str: insert a string str in to the dictionary
* find str: if the distionary contains str, then print 'yes', otherwise print 'no'
Notes
Template in C
Constraints
* A string consists of 'A', 'C', 'G', or 'T'
* 1 ≤ length of a string ≤ 12
* n ≤ 1000000
Input
In the first line n, the number of instructions is given. In the following n lines, n instructions are given in the above mentioned format.
Output
Print yes or no for each find instruction in a line.
Examples
Input
5
insert A
insert T
insert C
find G
find A
Output
no
yes
Input
13
insert AAA
insert AAC
insert AGA
insert AGG
insert TTT
find AAA
find CCC
find CCC
insert CCC
find CCC
insert T
find TTT
find T
Output
yes
no
no
yes
yes
yes | #!/usr/bin/env python
# -*- coding:utf-8 -*-
#from __future__ import print_function
import time
import sys
import io
import re
import math
#start = time.clock()
#i = 0
#check = 'insert'
n=input()
a=set()
for x in xrange(n):
(i,f)=map(str, raw_input().split())
if i=='insert':
a.add(f)
else:
if f in a:
print 'yes'
else:
print 'no' | 1Python2
| {
"input": [
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind BAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTS\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind BAA\nfind CCC\nfind CCB\ninsert CCC\nfind BCC\ninsert U\nfind UTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind STT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AA@\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert UTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"5\ninsert A\ninsert U\ninsert F\nfind F\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind @",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind C",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert S\ninsert C\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind B",
"5\ninsert B\ninsert U\ninsert B\nfind G\nfind A",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind H\nfind A",
"13\ninsert AAA\ninsert ABD\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"5\ninsert B\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind ?",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert U\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind @",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind H\nfind B",
"5\ninsert B\ninsert V\ninsert A\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind C",
"5\ninsert A\ninsert U\ninsert C\nfind H\nfind A",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind B",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CBC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert @\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AG@\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert S\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert D\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert FGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert B\nfind E\nfind A",
"5\ninsert C\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind B",
"5\ninsert @\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert V\ninsert A\nfind F\nfind A",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind C",
"5\ninsert B\ninsert U\ninsert E\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert DCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert BA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHG\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert W\ninsert B\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCB\ninsert T\nfind TTT\nfind T",
"13\ninsert ABA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert ?\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert V\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind S",
"5\ninsert A\ninsert T\ninsert C\nfind D\nfind A",
"13\ninsert AAA\ninsert @BC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind @",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind A"
],
"output": [
"no\nyes",
"yes\nno\nno\nyes\nyes\nyes",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"yes\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nno\nyes\n",
"no\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nno\nno\nno\n",
"yes\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nno\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"no\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n"
]
} | 6AIZU
|
p02269 Dictionary_37825 | Your task is to write a program of a simple dictionary which implements the following instructions:
* insert str: insert a string str in to the dictionary
* find str: if the distionary contains str, then print 'yes', otherwise print 'no'
Notes
Template in C
Constraints
* A string consists of 'A', 'C', 'G', or 'T'
* 1 ≤ length of a string ≤ 12
* n ≤ 1000000
Input
In the first line n, the number of instructions is given. In the following n lines, n instructions are given in the above mentioned format.
Output
Print yes or no for each find instruction in a line.
Examples
Input
5
insert A
insert T
insert C
find G
find A
Output
no
yes
Input
13
insert AAA
insert AAC
insert AGA
insert AGG
insert TTT
find AAA
find CCC
find CCC
insert CCC
find CCC
insert T
find TTT
find T
Output
yes
no
no
yes
yes
yes | #include<set>
#include<iostream>
using namespace std;
int main()
{
int n;
set<string> a;
string cmd, str;
cin>>n;
for(int i = 0; i < n; i++)
{
cin>>cmd>>str;
if(cmd.compare("insert") == 0)
a.insert(str);
else
{
if(a.find(str) != a.end())
cout<<"yes"<<endl;
else
cout<<"no"<<endl;
}
}
}
| 2C++
| {
"input": [
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind BAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTS\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind BAA\nfind CCC\nfind CCB\ninsert CCC\nfind BCC\ninsert U\nfind UTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind STT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AA@\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert UTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"5\ninsert A\ninsert U\ninsert F\nfind F\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind @",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind C",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert S\ninsert C\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind B",
"5\ninsert B\ninsert U\ninsert B\nfind G\nfind A",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind H\nfind A",
"13\ninsert AAA\ninsert ABD\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"5\ninsert B\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind ?",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert U\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind @",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind H\nfind B",
"5\ninsert B\ninsert V\ninsert A\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind C",
"5\ninsert A\ninsert U\ninsert C\nfind H\nfind A",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind B",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CBC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert @\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AG@\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert S\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert D\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert FGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert B\nfind E\nfind A",
"5\ninsert C\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind B",
"5\ninsert @\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert V\ninsert A\nfind F\nfind A",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind C",
"5\ninsert B\ninsert U\ninsert E\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert DCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert BA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHG\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert W\ninsert B\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCB\ninsert T\nfind TTT\nfind T",
"13\ninsert ABA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert ?\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert V\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind S",
"5\ninsert A\ninsert T\ninsert C\nfind D\nfind A",
"13\ninsert AAA\ninsert @BC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind @",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind A"
],
"output": [
"no\nyes",
"yes\nno\nno\nyes\nyes\nyes",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"yes\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nno\nyes\n",
"no\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nno\nno\nno\n",
"yes\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nno\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"no\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n"
]
} | 6AIZU
|
p02269 Dictionary_37826 | Your task is to write a program of a simple dictionary which implements the following instructions:
* insert str: insert a string str in to the dictionary
* find str: if the distionary contains str, then print 'yes', otherwise print 'no'
Notes
Template in C
Constraints
* A string consists of 'A', 'C', 'G', or 'T'
* 1 ≤ length of a string ≤ 12
* n ≤ 1000000
Input
In the first line n, the number of instructions is given. In the following n lines, n instructions are given in the above mentioned format.
Output
Print yes or no for each find instruction in a line.
Examples
Input
5
insert A
insert T
insert C
find G
find A
Output
no
yes
Input
13
insert AAA
insert AAC
insert AGA
insert AGG
insert TTT
find AAA
find CCC
find CCC
insert CCC
find CCC
insert T
find TTT
find T
Output
yes
no
no
yes
yes
yes | n = int(input())
dic = {}
for i in range(n):
a = input()
if a[0] == "i":
dic[a[7:]] = 0
else:
if a[5:] in dic:
print("yes")
else:
print("no")
| 3Python3
| {
"input": [
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind BAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTS\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind BAA\nfind CCC\nfind CCB\ninsert CCC\nfind BCC\ninsert U\nfind UTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind STT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AA@\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert UTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"5\ninsert A\ninsert U\ninsert F\nfind F\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind @",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind C",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert S\ninsert C\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind B",
"5\ninsert B\ninsert U\ninsert B\nfind G\nfind A",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind H\nfind A",
"13\ninsert AAA\ninsert ABD\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"5\ninsert B\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind ?",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert U\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind @",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind H\nfind B",
"5\ninsert B\ninsert V\ninsert A\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind C",
"5\ninsert A\ninsert U\ninsert C\nfind H\nfind A",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind B",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CBC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert @\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AG@\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert S\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert D\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert FGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert B\nfind E\nfind A",
"5\ninsert C\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind B",
"5\ninsert @\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert V\ninsert A\nfind F\nfind A",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind C",
"5\ninsert B\ninsert U\ninsert E\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert DCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert BA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHG\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert W\ninsert B\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCB\ninsert T\nfind TTT\nfind T",
"13\ninsert ABA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert ?\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert V\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind S",
"5\ninsert A\ninsert T\ninsert C\nfind D\nfind A",
"13\ninsert AAA\ninsert @BC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind @",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind A"
],
"output": [
"no\nyes",
"yes\nno\nno\nyes\nyes\nyes",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"yes\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nno\nyes\n",
"no\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nno\nno\nno\n",
"yes\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nno\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"no\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n"
]
} | 6AIZU
|
p02269 Dictionary_37827 | Your task is to write a program of a simple dictionary which implements the following instructions:
* insert str: insert a string str in to the dictionary
* find str: if the distionary contains str, then print 'yes', otherwise print 'no'
Notes
Template in C
Constraints
* A string consists of 'A', 'C', 'G', or 'T'
* 1 ≤ length of a string ≤ 12
* n ≤ 1000000
Input
In the first line n, the number of instructions is given. In the following n lines, n instructions are given in the above mentioned format.
Output
Print yes or no for each find instruction in a line.
Examples
Input
5
insert A
insert T
insert C
find G
find A
Output
no
yes
Input
13
insert AAA
insert AAC
insert AGA
insert AGG
insert TTT
find AAA
find CCC
find CCC
insert CCC
find CCC
insert T
find TTT
find T
Output
yes
no
no
yes
yes
yes |
import java.util.HashSet;
import java.util.Set;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
Set<String> set = new HashSet<String>();
int n = sc.nextInt();
for (int i = 0; i < n; i++) {
String cmd = sc.next();
String str = sc.next();
switch (cmd) {
case "insert":
set.add(str);
break;
case "find":
if (set.contains(str)) System.out.println("yes");
else System.out.println("no");
break;
}
}
}
}
| 4JAVA
| {
"input": [
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind BAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTS\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind BAA\nfind CCC\nfind CCB\ninsert CCC\nfind BCC\ninsert U\nfind UTT\nfind T",
"13\ninsert @AA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind STT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AA@\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert UTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind DCC\ninsert T\nfind TTT\nfind S",
"5\ninsert A\ninsert U\ninsert F\nfind F\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind @",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert U\ninsert D\nfind G\nfind C",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert S\ninsert C\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind B",
"5\ninsert B\ninsert U\ninsert B\nfind G\nfind A",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind E\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert U\ninsert D\nfind H\nfind A",
"13\ninsert AAA\ninsert ABD\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"5\ninsert B\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind G\nfind ?",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind E\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert U\nfind TTT\nfind T",
"5\ninsert B\ninsert T\ninsert C\nfind H\nfind @",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CCC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind H\nfind B",
"5\ninsert B\ninsert V\ninsert A\nfind G\nfind A",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind B",
"5\ninsert A\ninsert T\ninsert C\nfind I\nfind C",
"5\ninsert A\ninsert U\ninsert C\nfind H\nfind A",
"5\ninsert B\ninsert U\ninsert D\nfind G\nfind B",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CBC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert @\ninsert U\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert ABC\ninsert AG@\ninsert AHF\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert S\ninsert C\nfind G\nfind B",
"5\ninsert A\ninsert T\ninsert D\nfind G\nfind @",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert FGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert @\ninsert T\ninsert B\nfind E\nfind A",
"5\ninsert C\ninsert T\ninsert B\nfind H\nfind B",
"13\ninsert AA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert V\ninsert B\nfind G\nfind B",
"5\ninsert @\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind CCB\ninsert T\nfind TTT\nfind T",
"5\ninsert B\ninsert V\ninsert A\nfind F\nfind A",
"5\ninsert A\ninsert T\ninsert B\nfind I\nfind C",
"5\ninsert B\ninsert U\ninsert E\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind DCC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert AAC\ninsert AFA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert DCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert C\ninsert T\ninsert C\nfind H\nfind B",
"13\ninsert BA@\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AA@\nfind CCC\nfind CCD\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind S",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHG\ninsert TTT\nfind AAA\nfind DCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind UTT\nfind T",
"5\ninsert B\ninsert W\ninsert B\nfind G\nfind B",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert ABC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind BCC\nfind CBC\ninsert CCC\nfind BCB\ninsert T\nfind TTT\nfind T",
"13\ninsert ABA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert B\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TUT\nfind T",
"5\ninsert ?\ninsert T\ninsert C\nfind G\nfind A",
"5\ninsert B\ninsert V\ninsert C\nfind G\nfind A",
"13\ninsert AAA\ninsert AAC\ninsert AGA\ninsert AHF\ninsert TTT\nfind AAB\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"13\ninsert AAA\ninsert CAA\ninsert AGA\ninsert AGG\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert S\nfind TTT\nfind S",
"5\ninsert A\ninsert T\ninsert C\nfind D\nfind A",
"13\ninsert AAA\ninsert @BC\ninsert AGA\ninsert GGA\ninsert TTT\nfind AAA\nfind CCC\nfind CCC\ninsert CCC\nfind CCC\ninsert T\nfind TTT\nfind T",
"5\ninsert A\ninsert T\ninsert C\nfind F\nfind @",
"5\ninsert A\ninsert U\ninsert E\nfind G\nfind A"
],
"output": [
"no\nyes",
"yes\nno\nno\nyes\nyes\nyes",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"yes\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nno\nyes\n",
"no\nno\nno\nyes\nno\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nno\n",
"yes\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nno\nno\nno\n",
"no\nno\nno\nno\nno\nyes\n",
"no\nno\nno\nyes\nyes\nno\n",
"yes\nno\nno\nno\nno\nno\n",
"yes\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nno\n",
"no\nno\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nno\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"no\nno\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nyes\n",
"no\nno\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\n",
"no\nno\nno\nyes\nno\nno\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"yes\nno\nno\nno\nyes\nyes\n",
"no\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nno\nyes\n",
"no\nno\n",
"no\nno\n",
"no\nno\nno\nyes\nyes\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nyes\n",
"yes\nno\nno\nyes\nyes\nyes\n",
"no\nno\n",
"no\nyes\n"
]
} | 6AIZU
|
p02416 Sum of Numbers_37828 | Write a program which reads an integer and prints sum of its digits.
Input
The input consists of multiple datasets. For each dataset, an integer x is given in a line. The number of digits in x does not exceed 1000.
The input ends with a line including single zero. Your program should not process for this terminal symbol.
Output
For each dataset, print the sum of digits in x.
Example
Input
123
55
1000
0
Output
6
10
1 | X = []
while True:
x = raw_input()
if x == "0":
break
else:
X.append(x)
ans = []
for i in range(len(X)):
tmp = 0
for j in range(len(X[i])):
tmp+=int(X[i][j])
ans.append(tmp)
for char in ans:
print char
| 1Python2
| {
"input": [
"123\n55\n1000\n0",
"123\n55\n1001\n0",
"123\n69\n1000\n0",
"123\n69\n1010\n0",
"123\n69\n1110\n0",
"123\n55\n0001\n0",
"123\n55\n1101\n0",
"123\n69\n1111\n0",
"123\n23\n1001\n0",
"123\n65\n0001\n0",
"123\n151\n1101\n0",
"123\n132\n1000\n0",
"123\n45\n1100\n0",
"123\n20\n1001\n0",
"123\n151\n1111\n0",
"123\n44\n1100\n0",
"123\n20\n1000\n0",
"123\n142\n1000\n0",
"123\n142\n1010\n0",
"123\n80\n1101\n0",
"123\n80\n1111\n0",
"123\n58\n1111\n0",
"123\n17\n1000\n0",
"123\n41\n0001\n0",
"123\n30\n1001\n0",
"123\n102\n0001\n0",
"123\n132\n1100\n0",
"123\n45\n1000\n0",
"123\n104\n1011\n0",
"123\n158\n1100\n0",
"123\n243\n1011\n0",
"123\n66\n1111\n0",
"123\n57\n1001\n0",
"123\n29\n1100\n0",
"123\n104\n1111\n0",
"123\n57\n1101\n0",
"123\n1\n1001\n0",
"123\n4\n1100\n0",
"123\n181\n1111\n0",
"123\n1\n1101\n0",
"123\n1\n1000\n0",
"123\n0\n1000\n0",
"123\n418\n1100\n0",
"123\n418\n1110\n0",
"123\n736\n1110\n0",
"123\n120\n1111\n0",
"123\n270\n1111\n0",
"123\n239\n1000\n0",
"123\n139\n1000\n0",
"123\n132\n1101\n0",
"123\n164\n1111\n0",
"123\n2\n1101\n0",
"123\n686\n1110\n0",
"123\n293\n1111\n0",
"123\n173\n1101\n0",
"123\n295\n1111\n0",
"123\n98\n1111\n0",
"123\n4\n1101\n0",
"123\n686\n1010\n0",
"123\n3\n1101\n0",
"123\n156\n1000\n0",
"123\n666\n1101\n0",
"123\n4\n1000\n0",
"123\n808\n1000\n0",
"123\n559\n1100\n0",
"123\n559\n1000\n0",
"123\n79\n1001\n0",
"123\n59\n1101\n0",
"123\n459\n1111\n0",
"123\n13\n1111\n0",
"123\n1\n1111\n0",
"123\n188\n1011\n0",
"123\n20\n1111\n0",
"123\n793\n1011\n0",
"123\n993\n1101\n0",
"123\n42\n1111\n0",
"123\n469\n1111\n0",
"123\n638\n0001\n0",
"123\n82\n1010\n0",
"123\n69\n1001\n0",
"123\n78\n1101\n0",
"123\n82\n1000\n0",
"123\n69\n1101\n0",
"123\n78\n1111\n0",
"123\n69\n1100\n0",
"123\n235\n1000\n0",
"123\n151\n1011\n0",
"123\n80\n1100\n0",
"123\n20\n1010\n0",
"123\n160\n1010\n0",
"123\n243\n1010\n0",
"123\n17\n1010\n0",
"123\n55\n1100\n0",
"123\n70\n1000\n0",
"123\n82\n1110\n0",
"123\n69\n1011\n0",
"123\n82\n1001\n0",
"123\n9\n1001\n0",
"123\n37\n1100\n0",
"123\n62\n1000\n0",
"123\n160\n1110\n0"
],
"output": [
"6\n10\n1",
"6\n10\n2\n",
"6\n15\n1\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n10\n3\n",
"6\n15\n4\n",
"6\n5\n2\n",
"6\n11\n1\n",
"6\n7\n3\n",
"6\n6\n1\n",
"6\n9\n2\n",
"6\n2\n2\n",
"6\n7\n4\n",
"6\n8\n2\n",
"6\n2\n1\n",
"6\n7\n1\n",
"6\n7\n2\n",
"6\n8\n3\n",
"6\n8\n4\n",
"6\n13\n4\n",
"6\n8\n1\n",
"6\n5\n1\n",
"6\n3\n2\n",
"6\n3\n1\n",
"6\n6\n2\n",
"6\n9\n1\n",
"6\n5\n3\n",
"6\n14\n2\n",
"6\n9\n3\n",
"6\n12\n4\n",
"6\n12\n2\n",
"6\n11\n2\n",
"6\n5\n4\n",
"6\n12\n3\n",
"6\n1\n2\n",
"6\n4\n2\n",
"6\n10\n4\n",
"6\n1\n3\n",
"6\n1\n1\n",
"6\n",
"6\n13\n2\n",
"6\n13\n3\n",
"6\n16\n3\n",
"6\n3\n4\n",
"6\n9\n4\n",
"6\n14\n1\n",
"6\n13\n1\n",
"6\n6\n3\n",
"6\n11\n4\n",
"6\n2\n3\n",
"6\n20\n3\n",
"6\n14\n4\n",
"6\n11\n3\n",
"6\n16\n4\n",
"6\n17\n4\n",
"6\n4\n3\n",
"6\n20\n2\n",
"6\n3\n3\n",
"6\n12\n1\n",
"6\n18\n3\n",
"6\n4\n1\n",
"6\n16\n1\n",
"6\n19\n2\n",
"6\n19\n1\n",
"6\n16\n2\n",
"6\n14\n3\n",
"6\n18\n4\n",
"6\n4\n4\n",
"6\n1\n4\n",
"6\n17\n3\n",
"6\n2\n4\n",
"6\n19\n3\n",
"6\n21\n3\n",
"6\n6\n4\n",
"6\n19\n4\n",
"6\n17\n1\n",
"6\n10\n2\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n15\n3\n",
"6\n15\n4\n",
"6\n15\n2\n",
"6\n10\n1\n",
"6\n7\n3\n",
"6\n8\n2\n",
"6\n2\n2\n",
"6\n7\n2\n",
"6\n9\n2\n",
"6\n8\n2\n",
"6\n10\n2\n",
"6\n7\n1\n",
"6\n10\n3\n",
"6\n15\n3\n",
"6\n10\n2\n",
"6\n9\n2\n",
"6\n10\n2\n",
"6\n8\n1\n",
"6\n7\n3\n"
]
} | 6AIZU
|
p02416 Sum of Numbers_37829 | Write a program which reads an integer and prints sum of its digits.
Input
The input consists of multiple datasets. For each dataset, an integer x is given in a line. The number of digits in x does not exceed 1000.
The input ends with a line including single zero. Your program should not process for this terminal symbol.
Output
For each dataset, print the sum of digits in x.
Example
Input
123
55
1000
0
Output
6
10
1 | #include <bits/stdc++.h>
using namespace std;
int main() {
while(true){
string s;
cin >> s;
if(s == "0") return 0;
int sum = 0;
for(int i = 0;i < s.size();i++){
sum += s[i]-'0';
}
cout << sum << endl;
}
}
| 2C++
| {
"input": [
"123\n55\n1000\n0",
"123\n55\n1001\n0",
"123\n69\n1000\n0",
"123\n69\n1010\n0",
"123\n69\n1110\n0",
"123\n55\n0001\n0",
"123\n55\n1101\n0",
"123\n69\n1111\n0",
"123\n23\n1001\n0",
"123\n65\n0001\n0",
"123\n151\n1101\n0",
"123\n132\n1000\n0",
"123\n45\n1100\n0",
"123\n20\n1001\n0",
"123\n151\n1111\n0",
"123\n44\n1100\n0",
"123\n20\n1000\n0",
"123\n142\n1000\n0",
"123\n142\n1010\n0",
"123\n80\n1101\n0",
"123\n80\n1111\n0",
"123\n58\n1111\n0",
"123\n17\n1000\n0",
"123\n41\n0001\n0",
"123\n30\n1001\n0",
"123\n102\n0001\n0",
"123\n132\n1100\n0",
"123\n45\n1000\n0",
"123\n104\n1011\n0",
"123\n158\n1100\n0",
"123\n243\n1011\n0",
"123\n66\n1111\n0",
"123\n57\n1001\n0",
"123\n29\n1100\n0",
"123\n104\n1111\n0",
"123\n57\n1101\n0",
"123\n1\n1001\n0",
"123\n4\n1100\n0",
"123\n181\n1111\n0",
"123\n1\n1101\n0",
"123\n1\n1000\n0",
"123\n0\n1000\n0",
"123\n418\n1100\n0",
"123\n418\n1110\n0",
"123\n736\n1110\n0",
"123\n120\n1111\n0",
"123\n270\n1111\n0",
"123\n239\n1000\n0",
"123\n139\n1000\n0",
"123\n132\n1101\n0",
"123\n164\n1111\n0",
"123\n2\n1101\n0",
"123\n686\n1110\n0",
"123\n293\n1111\n0",
"123\n173\n1101\n0",
"123\n295\n1111\n0",
"123\n98\n1111\n0",
"123\n4\n1101\n0",
"123\n686\n1010\n0",
"123\n3\n1101\n0",
"123\n156\n1000\n0",
"123\n666\n1101\n0",
"123\n4\n1000\n0",
"123\n808\n1000\n0",
"123\n559\n1100\n0",
"123\n559\n1000\n0",
"123\n79\n1001\n0",
"123\n59\n1101\n0",
"123\n459\n1111\n0",
"123\n13\n1111\n0",
"123\n1\n1111\n0",
"123\n188\n1011\n0",
"123\n20\n1111\n0",
"123\n793\n1011\n0",
"123\n993\n1101\n0",
"123\n42\n1111\n0",
"123\n469\n1111\n0",
"123\n638\n0001\n0",
"123\n82\n1010\n0",
"123\n69\n1001\n0",
"123\n78\n1101\n0",
"123\n82\n1000\n0",
"123\n69\n1101\n0",
"123\n78\n1111\n0",
"123\n69\n1100\n0",
"123\n235\n1000\n0",
"123\n151\n1011\n0",
"123\n80\n1100\n0",
"123\n20\n1010\n0",
"123\n160\n1010\n0",
"123\n243\n1010\n0",
"123\n17\n1010\n0",
"123\n55\n1100\n0",
"123\n70\n1000\n0",
"123\n82\n1110\n0",
"123\n69\n1011\n0",
"123\n82\n1001\n0",
"123\n9\n1001\n0",
"123\n37\n1100\n0",
"123\n62\n1000\n0",
"123\n160\n1110\n0"
],
"output": [
"6\n10\n1",
"6\n10\n2\n",
"6\n15\n1\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n10\n3\n",
"6\n15\n4\n",
"6\n5\n2\n",
"6\n11\n1\n",
"6\n7\n3\n",
"6\n6\n1\n",
"6\n9\n2\n",
"6\n2\n2\n",
"6\n7\n4\n",
"6\n8\n2\n",
"6\n2\n1\n",
"6\n7\n1\n",
"6\n7\n2\n",
"6\n8\n3\n",
"6\n8\n4\n",
"6\n13\n4\n",
"6\n8\n1\n",
"6\n5\n1\n",
"6\n3\n2\n",
"6\n3\n1\n",
"6\n6\n2\n",
"6\n9\n1\n",
"6\n5\n3\n",
"6\n14\n2\n",
"6\n9\n3\n",
"6\n12\n4\n",
"6\n12\n2\n",
"6\n11\n2\n",
"6\n5\n4\n",
"6\n12\n3\n",
"6\n1\n2\n",
"6\n4\n2\n",
"6\n10\n4\n",
"6\n1\n3\n",
"6\n1\n1\n",
"6\n",
"6\n13\n2\n",
"6\n13\n3\n",
"6\n16\n3\n",
"6\n3\n4\n",
"6\n9\n4\n",
"6\n14\n1\n",
"6\n13\n1\n",
"6\n6\n3\n",
"6\n11\n4\n",
"6\n2\n3\n",
"6\n20\n3\n",
"6\n14\n4\n",
"6\n11\n3\n",
"6\n16\n4\n",
"6\n17\n4\n",
"6\n4\n3\n",
"6\n20\n2\n",
"6\n3\n3\n",
"6\n12\n1\n",
"6\n18\n3\n",
"6\n4\n1\n",
"6\n16\n1\n",
"6\n19\n2\n",
"6\n19\n1\n",
"6\n16\n2\n",
"6\n14\n3\n",
"6\n18\n4\n",
"6\n4\n4\n",
"6\n1\n4\n",
"6\n17\n3\n",
"6\n2\n4\n",
"6\n19\n3\n",
"6\n21\n3\n",
"6\n6\n4\n",
"6\n19\n4\n",
"6\n17\n1\n",
"6\n10\n2\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n15\n3\n",
"6\n15\n4\n",
"6\n15\n2\n",
"6\n10\n1\n",
"6\n7\n3\n",
"6\n8\n2\n",
"6\n2\n2\n",
"6\n7\n2\n",
"6\n9\n2\n",
"6\n8\n2\n",
"6\n10\n2\n",
"6\n7\n1\n",
"6\n10\n3\n",
"6\n15\n3\n",
"6\n10\n2\n",
"6\n9\n2\n",
"6\n10\n2\n",
"6\n8\n1\n",
"6\n7\n3\n"
]
} | 6AIZU
|
p02416 Sum of Numbers_37830 | Write a program which reads an integer and prints sum of its digits.
Input
The input consists of multiple datasets. For each dataset, an integer x is given in a line. The number of digits in x does not exceed 1000.
The input ends with a line including single zero. Your program should not process for this terminal symbol.
Output
For each dataset, print the sum of digits in x.
Example
Input
123
55
1000
0
Output
6
10
1 | while True:
n = input()
if n == "0": break
n = map(int, n)
print(sum(n))
| 3Python3
| {
"input": [
"123\n55\n1000\n0",
"123\n55\n1001\n0",
"123\n69\n1000\n0",
"123\n69\n1010\n0",
"123\n69\n1110\n0",
"123\n55\n0001\n0",
"123\n55\n1101\n0",
"123\n69\n1111\n0",
"123\n23\n1001\n0",
"123\n65\n0001\n0",
"123\n151\n1101\n0",
"123\n132\n1000\n0",
"123\n45\n1100\n0",
"123\n20\n1001\n0",
"123\n151\n1111\n0",
"123\n44\n1100\n0",
"123\n20\n1000\n0",
"123\n142\n1000\n0",
"123\n142\n1010\n0",
"123\n80\n1101\n0",
"123\n80\n1111\n0",
"123\n58\n1111\n0",
"123\n17\n1000\n0",
"123\n41\n0001\n0",
"123\n30\n1001\n0",
"123\n102\n0001\n0",
"123\n132\n1100\n0",
"123\n45\n1000\n0",
"123\n104\n1011\n0",
"123\n158\n1100\n0",
"123\n243\n1011\n0",
"123\n66\n1111\n0",
"123\n57\n1001\n0",
"123\n29\n1100\n0",
"123\n104\n1111\n0",
"123\n57\n1101\n0",
"123\n1\n1001\n0",
"123\n4\n1100\n0",
"123\n181\n1111\n0",
"123\n1\n1101\n0",
"123\n1\n1000\n0",
"123\n0\n1000\n0",
"123\n418\n1100\n0",
"123\n418\n1110\n0",
"123\n736\n1110\n0",
"123\n120\n1111\n0",
"123\n270\n1111\n0",
"123\n239\n1000\n0",
"123\n139\n1000\n0",
"123\n132\n1101\n0",
"123\n164\n1111\n0",
"123\n2\n1101\n0",
"123\n686\n1110\n0",
"123\n293\n1111\n0",
"123\n173\n1101\n0",
"123\n295\n1111\n0",
"123\n98\n1111\n0",
"123\n4\n1101\n0",
"123\n686\n1010\n0",
"123\n3\n1101\n0",
"123\n156\n1000\n0",
"123\n666\n1101\n0",
"123\n4\n1000\n0",
"123\n808\n1000\n0",
"123\n559\n1100\n0",
"123\n559\n1000\n0",
"123\n79\n1001\n0",
"123\n59\n1101\n0",
"123\n459\n1111\n0",
"123\n13\n1111\n0",
"123\n1\n1111\n0",
"123\n188\n1011\n0",
"123\n20\n1111\n0",
"123\n793\n1011\n0",
"123\n993\n1101\n0",
"123\n42\n1111\n0",
"123\n469\n1111\n0",
"123\n638\n0001\n0",
"123\n82\n1010\n0",
"123\n69\n1001\n0",
"123\n78\n1101\n0",
"123\n82\n1000\n0",
"123\n69\n1101\n0",
"123\n78\n1111\n0",
"123\n69\n1100\n0",
"123\n235\n1000\n0",
"123\n151\n1011\n0",
"123\n80\n1100\n0",
"123\n20\n1010\n0",
"123\n160\n1010\n0",
"123\n243\n1010\n0",
"123\n17\n1010\n0",
"123\n55\n1100\n0",
"123\n70\n1000\n0",
"123\n82\n1110\n0",
"123\n69\n1011\n0",
"123\n82\n1001\n0",
"123\n9\n1001\n0",
"123\n37\n1100\n0",
"123\n62\n1000\n0",
"123\n160\n1110\n0"
],
"output": [
"6\n10\n1",
"6\n10\n2\n",
"6\n15\n1\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n10\n3\n",
"6\n15\n4\n",
"6\n5\n2\n",
"6\n11\n1\n",
"6\n7\n3\n",
"6\n6\n1\n",
"6\n9\n2\n",
"6\n2\n2\n",
"6\n7\n4\n",
"6\n8\n2\n",
"6\n2\n1\n",
"6\n7\n1\n",
"6\n7\n2\n",
"6\n8\n3\n",
"6\n8\n4\n",
"6\n13\n4\n",
"6\n8\n1\n",
"6\n5\n1\n",
"6\n3\n2\n",
"6\n3\n1\n",
"6\n6\n2\n",
"6\n9\n1\n",
"6\n5\n3\n",
"6\n14\n2\n",
"6\n9\n3\n",
"6\n12\n4\n",
"6\n12\n2\n",
"6\n11\n2\n",
"6\n5\n4\n",
"6\n12\n3\n",
"6\n1\n2\n",
"6\n4\n2\n",
"6\n10\n4\n",
"6\n1\n3\n",
"6\n1\n1\n",
"6\n",
"6\n13\n2\n",
"6\n13\n3\n",
"6\n16\n3\n",
"6\n3\n4\n",
"6\n9\n4\n",
"6\n14\n1\n",
"6\n13\n1\n",
"6\n6\n3\n",
"6\n11\n4\n",
"6\n2\n3\n",
"6\n20\n3\n",
"6\n14\n4\n",
"6\n11\n3\n",
"6\n16\n4\n",
"6\n17\n4\n",
"6\n4\n3\n",
"6\n20\n2\n",
"6\n3\n3\n",
"6\n12\n1\n",
"6\n18\n3\n",
"6\n4\n1\n",
"6\n16\n1\n",
"6\n19\n2\n",
"6\n19\n1\n",
"6\n16\n2\n",
"6\n14\n3\n",
"6\n18\n4\n",
"6\n4\n4\n",
"6\n1\n4\n",
"6\n17\n3\n",
"6\n2\n4\n",
"6\n19\n3\n",
"6\n21\n3\n",
"6\n6\n4\n",
"6\n19\n4\n",
"6\n17\n1\n",
"6\n10\n2\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n15\n3\n",
"6\n15\n4\n",
"6\n15\n2\n",
"6\n10\n1\n",
"6\n7\n3\n",
"6\n8\n2\n",
"6\n2\n2\n",
"6\n7\n2\n",
"6\n9\n2\n",
"6\n8\n2\n",
"6\n10\n2\n",
"6\n7\n1\n",
"6\n10\n3\n",
"6\n15\n3\n",
"6\n10\n2\n",
"6\n9\n2\n",
"6\n10\n2\n",
"6\n8\n1\n",
"6\n7\n3\n"
]
} | 6AIZU
|
p02416 Sum of Numbers_37831 | Write a program which reads an integer and prints sum of its digits.
Input
The input consists of multiple datasets. For each dataset, an integer x is given in a line. The number of digits in x does not exceed 1000.
The input ends with a line including single zero. Your program should not process for this terminal symbol.
Output
For each dataset, print the sum of digits in x.
Example
Input
123
55
1000
0
Output
6
10
1 | import java.util.Scanner;
public class Main{
public static void main(String[] args){
Scanner sc=new Scanner(System.in);
while(true){
String s=sc.next();
if(s.equals("0")) break;
int ans=0;
for(int i=0;i<s.length();i++){
ans+=s.charAt(i)-'0';
}
System.out.println(ans);
}
}
}
| 4JAVA
| {
"input": [
"123\n55\n1000\n0",
"123\n55\n1001\n0",
"123\n69\n1000\n0",
"123\n69\n1010\n0",
"123\n69\n1110\n0",
"123\n55\n0001\n0",
"123\n55\n1101\n0",
"123\n69\n1111\n0",
"123\n23\n1001\n0",
"123\n65\n0001\n0",
"123\n151\n1101\n0",
"123\n132\n1000\n0",
"123\n45\n1100\n0",
"123\n20\n1001\n0",
"123\n151\n1111\n0",
"123\n44\n1100\n0",
"123\n20\n1000\n0",
"123\n142\n1000\n0",
"123\n142\n1010\n0",
"123\n80\n1101\n0",
"123\n80\n1111\n0",
"123\n58\n1111\n0",
"123\n17\n1000\n0",
"123\n41\n0001\n0",
"123\n30\n1001\n0",
"123\n102\n0001\n0",
"123\n132\n1100\n0",
"123\n45\n1000\n0",
"123\n104\n1011\n0",
"123\n158\n1100\n0",
"123\n243\n1011\n0",
"123\n66\n1111\n0",
"123\n57\n1001\n0",
"123\n29\n1100\n0",
"123\n104\n1111\n0",
"123\n57\n1101\n0",
"123\n1\n1001\n0",
"123\n4\n1100\n0",
"123\n181\n1111\n0",
"123\n1\n1101\n0",
"123\n1\n1000\n0",
"123\n0\n1000\n0",
"123\n418\n1100\n0",
"123\n418\n1110\n0",
"123\n736\n1110\n0",
"123\n120\n1111\n0",
"123\n270\n1111\n0",
"123\n239\n1000\n0",
"123\n139\n1000\n0",
"123\n132\n1101\n0",
"123\n164\n1111\n0",
"123\n2\n1101\n0",
"123\n686\n1110\n0",
"123\n293\n1111\n0",
"123\n173\n1101\n0",
"123\n295\n1111\n0",
"123\n98\n1111\n0",
"123\n4\n1101\n0",
"123\n686\n1010\n0",
"123\n3\n1101\n0",
"123\n156\n1000\n0",
"123\n666\n1101\n0",
"123\n4\n1000\n0",
"123\n808\n1000\n0",
"123\n559\n1100\n0",
"123\n559\n1000\n0",
"123\n79\n1001\n0",
"123\n59\n1101\n0",
"123\n459\n1111\n0",
"123\n13\n1111\n0",
"123\n1\n1111\n0",
"123\n188\n1011\n0",
"123\n20\n1111\n0",
"123\n793\n1011\n0",
"123\n993\n1101\n0",
"123\n42\n1111\n0",
"123\n469\n1111\n0",
"123\n638\n0001\n0",
"123\n82\n1010\n0",
"123\n69\n1001\n0",
"123\n78\n1101\n0",
"123\n82\n1000\n0",
"123\n69\n1101\n0",
"123\n78\n1111\n0",
"123\n69\n1100\n0",
"123\n235\n1000\n0",
"123\n151\n1011\n0",
"123\n80\n1100\n0",
"123\n20\n1010\n0",
"123\n160\n1010\n0",
"123\n243\n1010\n0",
"123\n17\n1010\n0",
"123\n55\n1100\n0",
"123\n70\n1000\n0",
"123\n82\n1110\n0",
"123\n69\n1011\n0",
"123\n82\n1001\n0",
"123\n9\n1001\n0",
"123\n37\n1100\n0",
"123\n62\n1000\n0",
"123\n160\n1110\n0"
],
"output": [
"6\n10\n1",
"6\n10\n2\n",
"6\n15\n1\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n10\n3\n",
"6\n15\n4\n",
"6\n5\n2\n",
"6\n11\n1\n",
"6\n7\n3\n",
"6\n6\n1\n",
"6\n9\n2\n",
"6\n2\n2\n",
"6\n7\n4\n",
"6\n8\n2\n",
"6\n2\n1\n",
"6\n7\n1\n",
"6\n7\n2\n",
"6\n8\n3\n",
"6\n8\n4\n",
"6\n13\n4\n",
"6\n8\n1\n",
"6\n5\n1\n",
"6\n3\n2\n",
"6\n3\n1\n",
"6\n6\n2\n",
"6\n9\n1\n",
"6\n5\n3\n",
"6\n14\n2\n",
"6\n9\n3\n",
"6\n12\n4\n",
"6\n12\n2\n",
"6\n11\n2\n",
"6\n5\n4\n",
"6\n12\n3\n",
"6\n1\n2\n",
"6\n4\n2\n",
"6\n10\n4\n",
"6\n1\n3\n",
"6\n1\n1\n",
"6\n",
"6\n13\n2\n",
"6\n13\n3\n",
"6\n16\n3\n",
"6\n3\n4\n",
"6\n9\n4\n",
"6\n14\n1\n",
"6\n13\n1\n",
"6\n6\n3\n",
"6\n11\n4\n",
"6\n2\n3\n",
"6\n20\n3\n",
"6\n14\n4\n",
"6\n11\n3\n",
"6\n16\n4\n",
"6\n17\n4\n",
"6\n4\n3\n",
"6\n20\n2\n",
"6\n3\n3\n",
"6\n12\n1\n",
"6\n18\n3\n",
"6\n4\n1\n",
"6\n16\n1\n",
"6\n19\n2\n",
"6\n19\n1\n",
"6\n16\n2\n",
"6\n14\n3\n",
"6\n18\n4\n",
"6\n4\n4\n",
"6\n1\n4\n",
"6\n17\n3\n",
"6\n2\n4\n",
"6\n19\n3\n",
"6\n21\n3\n",
"6\n6\n4\n",
"6\n19\n4\n",
"6\n17\n1\n",
"6\n10\n2\n",
"6\n15\n2\n",
"6\n15\n3\n",
"6\n10\n1\n",
"6\n15\n3\n",
"6\n15\n4\n",
"6\n15\n2\n",
"6\n10\n1\n",
"6\n7\n3\n",
"6\n8\n2\n",
"6\n2\n2\n",
"6\n7\n2\n",
"6\n9\n2\n",
"6\n8\n2\n",
"6\n10\n2\n",
"6\n7\n1\n",
"6\n10\n3\n",
"6\n15\n3\n",
"6\n10\n2\n",
"6\n9\n2\n",
"6\n10\n2\n",
"6\n8\n1\n",
"6\n7\n3\n"
]
} | 6AIZU
|
btreat_37832 | Its Chef's Birthday and his friends are demanding him for treat. So he went to the shop to buy N gift packets (one for each friend). Each gift packet bought from shop contains some number of chocolates in it.
Chef believes in equality i.e. all gift packets should contain equal number of chocolates in it. So Chef thought to rearrange the chocolates, one by one, such that all gift packets should contain equal number of chocolates afterwards.
But since its Chef's Birthday he wants to do this in minimum number of chocolates moved. Help Chef to do this task and you might also get treat from Chef :p
Input
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains a single integer N denoting the number of gift packets. The second line contains N space-separated integers C1, C2, ..., CN denoting the number of chocolates in i^th gift packet.
Output
For each test case, output a single line containing number of minimum moves required such that each gift packet contain equal number of chocolates. If it is not possible to do so then print "No Treat".
Constraints
1 ≤ T ≤ 10
1 ≤ N ≤ 10^5
1 ≤ Ci ≤ 10^6
Example
Input:
2
4
5 2 4 5
6
5 2 4 1 7 5
Output:
2
5
Explanation
Example case 1. Chef can move one chocolate from 1st gift packet to 2nd gift packet (distribution looks like 4 3 4 5). Now in next move he moves one chocolate from last gift packet to 2nd gift packet. Final distribution looks like 4 4 4 4 which took place in 2 moves. | import sys
for t in xrange(int(sys.stdin.readline())):
n=int(sys.stdin.readline())
arr=map(int,sys.stdin.readline().split())
s=sum(arr)
if s%n ==0:
avg=s/n
c=0
for i in xrange(n):
c+=abs(avg-arr[i])
print c/2
else:
print "No Treat" | 1Python2
| {
"input": [
"2\n4\n5 2 4 5\n6\n5 2 4 1 7 5"
],
"output": [
"2\n5"
]
} | 1CODECHEF
|
compiler_37833 | Lira is now very keen on compiler development. :)
She knows that one of the most important components of a compiler, is its parser.
A parser is, in simple terms, a software component that processes text, and checks it's semantic correctness, or, if you prefer, if the text is properly built.
As an example, in declaring and initializing an integer, in C/C++, you can't do something like:
int = x ;4
as the semantics of such statement is incorrect, as we all know that the datatype must precede an identifier and only afterwards should come the equal sign and the initialization value, so, the corrected statement should be:
int x = 4;
Today, Lira is concerned with an abstract instruction which is composed of the characters "<" and ">" , which she will use on the design of her language, L++ :D.
She is using it as an abstraction for generating XML code Tags in an easier fashion and she understood that, for an expression to be valid, a "<" symbol must always have a corresponding ">" character somewhere (not necessary immediately) after it. Moreover, each ">" symbol should correspond to exactly one "<" symbol.
So, for instance, the instructions:
<<>>
<>
<><>
are all valid. While:
>>
><><
are not.
Given some expressions which represent some instructions to be analyzed by Lira's compiler, you should tell the length of the longest prefix of each of these expressions that is valid, or 0 if there's no such a prefix.
Input
Input will consist of an integer T denoting the number of test cases to follow.
Then, T strings follow, each on a single line, representing a possible expression in L++.
Output
For each expression you should output the length of the longest prefix that is valid or 0 if there's no such a prefix.
Constraints
1 ≤ T ≤ 500
1 ≤ The length of a single expression ≤ 10^6
The total size all the input expressions is no more than 5*10^6
Example
Input:
3
<<>>
><
<>>>
Output:
4
0
2 | import sys
RL = sys.stdin.readline
T = int(RL())
for i in xrange(T):
inp = RL()
stack = 0
strlen = len(inp)
count = 0
for j in xrange(strlen):
if inp[j] == '<':
stack += 1
elif inp[j] == '>':
if stack == 0:
break
stack -= 1
if stack == 0:
count = j + 1
print count | 1Python2
| {
"input": [
"3\n<<>>\n><\n<>>>",
"3\n<<>>\n<>\n<>>>",
"3\n><<>\n<>\n<>>>",
"3\n><<>\n><\n<>>>",
"3\n<<>>\n><\n<>>?",
"3\n><<>\n<>\n><>?",
"3\n><<>\n><\n>><>",
"3\n<<>>\n<>\n>>><",
"3\n<<>>\n><\n>>><",
"3\n<>><\n<>\n>>><",
"3\n<>><\n<>\n<>>?",
"3\n<>><\n><\n<>>?",
"3\n<>>;\n><\n>>><",
"3\n>><<\n>=\n<><>",
"3\n<<>>\n>=\n<><>",
"3\n<<>>\n<>\n<>>?",
"3\n><<>\n<>\n<>>?",
"3\n>><<\n<>\n<>>>",
"3\n><><\n<>\n<>>>",
"3\n<><>\n<>\n<>>?",
"3\n><<?\n<>\n><>?",
"3\n>><<\n<>\n>>><",
"3\n><<>\n><\n>>><",
"3\n><><\n<>\n>>><",
"3\n>><<\n><\n<>>?",
"3\n><<>\n<>\n>;>?",
"3\n><<?\n><\n><>?",
"3\n>><<\n<>\n>>=<",
"3\n>><<\n<>\n<>>?",
"3\n><<>\n<>\n>;>>",
"3\n>=<<\n<>\n>>=<",
"3\n>;><\n<>\n>>><",
"3\n>=<=\n<>\n>>=<",
"3\n>;><\n><\n>>><",
"3\n>;><\n><\n<>>>",
"3\n>:><\n><\n<>>>",
"3\n>:><\n><\n>>><",
"3\n>:><\n><\n>>>=",
"3\n>:><\n>;\n>>>=",
"3\n<<>>\n>=\n<>>>",
"3\n<<>>\n>;\n<>>>",
"3\n<<>>\n<>\n<>>@",
"3\n><<>\n<>\n><??",
"3\n><<=\n><\n>><>",
"3\n><<?\n<>\n><>>",
"3\n><<>\n>=\n>>><",
"3\n><><\n><\n>>><",
"3\n>;<>\n<>\n>;>?",
"3\n><<>\n<>\n>>;>",
"3\n>;><\n<>\n>>=<",
"3\n>9><\n><\n<>>>",
"3\n>:><\n>;\n>>><",
"3\n>:><\n<>\n>>><",
"3\n>:>;\n>;\n>>>=",
"3\n<<>>\n><\n>>?<",
"3\n><<>\n><\n><??",
"3\n><<=\n><\n><>>",
"3\n><<?\n><\n><>>",
"3\n><<?\n>=\n>>><",
"3\n><><\n><\n>?><",
"3\n>;<>\n><\n>;>?",
"3\n>;><\n><\n>>=<",
"3\n>:><\n<>\n>>>=",
"3\n>:>;\n>;\n>?>=",
"3\n><<=\n><\n<>>>",
"3\n><<?\n><\n>>><",
"3\n><>=\n><\n>?><",
"3\n>;<>\n><\n>:>?",
"3\n>:<>\n><\n>>>=",
"3\n><<>\n>=\n<>>>",
"3\n><<?\n<>\n>>><",
"3\n><>=\n><\n>?>;",
"3\n><;>\n><\n>:>?",
"3\n><<>\n<>\n>>><",
"3\n>><<\n><\n>>><",
"3\n><><\n<>\n>>=<",
"3\n><<>\n><\n>=<>",
"3\n>;<>\n><\n>>><",
"3\n><><\n<>\n>?><",
"3\n><=>\n<>\n><>?",
"3\n><<?\n>=\n><>?",
"3\n>><<\n<>\n>><<",
"3\n><<=\n<>\n>;>>",
"3\n>=<;\n<>\n>>=<",
"3\n>;><\n>=\n>>><",
"3\n>:><\n<>\n<>>>",
"3\n<>><\n<>\n<>>>",
"3\n><<<\n><\n>><>",
"3\n><><\n>=\n>>><",
"3\n><><\n><\n>=><",
"3\n>;><\n<>\n>;>?",
"3\n><<>\n<>\n>>;=",
"3\n>;><\n<>\n>>==",
"3\n>9><\n<>\n<>>>",
"3\n>:>;\n>;\n>>>>",
"3\n<<>>\n>=\n>>?<",
"3\n><<>\n<>\n><?@",
"3\n>:>;\n><\n>?>=",
"3\n><<=\n><\n<>>=",
"3\n><:>\n><\n>>>=",
"3\n><<>\n>=\n<>>?"
],
"output": [
"4\n0\n2\n",
"4\n2\n2\n",
"0\n2\n2\n",
"0\n0\n2\n",
"4\n0\n2\n",
"0\n2\n0\n",
"0\n0\n0\n",
"4\n2\n0\n",
"4\n0\n0\n",
"2\n2\n0\n",
"2\n2\n2\n",
"2\n0\n2\n",
"2\n0\n0\n",
"0\n0\n4\n",
"4\n0\n4\n",
"4\n2\n2\n",
"0\n2\n2\n",
"0\n2\n2\n",
"0\n2\n2\n",
"4\n2\n2\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n0\n2\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n2\n2\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n0\n2\n",
"0\n0\n2\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"4\n0\n2\n",
"4\n0\n2\n",
"4\n2\n2\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n0\n2\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n0\n2\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n2\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n2\n2\n",
"2\n2\n2\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n2\n0\n",
"0\n2\n2\n",
"0\n0\n0\n",
"4\n0\n0\n",
"0\n2\n0\n",
"0\n0\n0\n",
"0\n0\n2\n",
"0\n0\n0\n",
"0\n0\n2\n"
]
} | 1CODECHEF
|
gdog_37834 | Tuzik is a little dog. But despite the fact he is still a puppy he already knows about the pretty things that coins are. He knows that for every coin he can get very tasty bone from his master. He believes that some day he will find a treasure and have loads of bones.
And finally he found something interesting. A wooden chest containing N coins! But as you should remember, Tuzik is just a little dog, and so he can't open it by himself. Actually, the only thing he can really do is barking. He can use his barking to attract nearby people and seek their help. He can set the loudness of his barking very precisely, and therefore you can assume that he can choose to call any number of people, from a minimum of 1, to a maximum of K.
When people come and open the chest they divide all the coins between them in such a way that everyone will get the same amount of coins and this amount is maximal possible. If some coins are not used they will leave it on the ground and Tuzik will take them after they go away. Since Tuzik is clearly not a fool, he understands that his profit depends on the number of people he will call. While Tuzik works on his barking, you have to find the maximum possible number of coins he can get.
Input
The first line of the input contains an integer T denoting the number of test cases. Each of next T lines contains 2 space-separated integers: N and K, for this test case.
Output
For each test case output one integer - the maximum possible number of coins Tuzik can get.
Constraints
1 ≤ T ≤ 50
1 ≤ N, K ≤ 10^5
Example
Input:
2
5 2
11 3
Output:
1
2
Explanation
In the first example he should call two people. Each of them will take 2 coins and they will leave 1 coin for Tuzik.
In the second example he should call 3 people. | # @author Kilari Teja
# GDOG
Possibles = [100, 50, 10, 5, 2, 1]
for _ in xrange(int(raw_input().strip())):
Bucks = map(int, raw_input().strip().split(" "))
MaxBucks = 0
for People in xrange(1, Bucks[1] + 1):
if Bucks[0]%People > MaxBucks:
MaxBucks = Bucks[0]%People
print MaxBucks | 1Python2
| {
"input": [
"2\n5 2\n11 3",
"2\n5 4\n11 3",
"2\n5 4\n11 6",
"2\n5 4\n8 6",
"2\n5 2\n5 3",
"2\n5 8\n11 6",
"2\n10 7\n8 6",
"2\n1 4\n15 6",
"2\n1 2\n15 2",
"2\n9 4\n11 6",
"2\n5 8\n11 4",
"2\n10 4\n1 6",
"2\n15 4\n15 6",
"2\n10 7\n8 10",
"2\n1 2\n14 6",
"2\n6 7\n8 10",
"2\n5 14\n9 4",
"2\n19 4\n1 6",
"2\n9 6\n5 7",
"2\n9 7\n8 3",
"2\n5 16\n14 4",
"2\n9 7\n1 9",
"2\n9 12\n1 9",
"2\n5 8\n16 6",
"2\n1 4\n15 12",
"2\n10 7\n4 6",
"2\n9 4\n11 12",
"2\n10 4\n20 8",
"2\n6 7\n8 7",
"2\n8 16\n14 4",
"2\n7 16\n6 4",
"2\n6 7\n5 9",
"2\n12 18\n1 9",
"2\n17 27\n1 9",
"2\n3 7\n4 6",
"2\n5 4\n11 12",
"2\n10 4\n20 11",
"2\n23 18\n1 9",
"2\n1 7\n15 24",
"2\n10 7\n6 7",
"2\n23 24\n1 9",
"2\n10 9\n7 9",
"2\n1 7\n13 24",
"2\n7 4\n11 22",
"2\n10 4\n21 19",
"2\n7 19\n1 8",
"2\n23 24\n2 9",
"2\n10 16\n7 9",
"2\n7 2\n6 22",
"2\n12 5\n4 17",
"2\n44 45\n2 17",
"2\n10 22\n4 16",
"2\n12 22\n4 16",
"2\n11 22\n4 6",
"2\n6 7\n4 10",
"2\n7 4\n11 6",
"2\n7 16\n6 8",
"2\n14 18\n1 9",
"2\n17 27\n2 9",
"2\n10 14\n13 6",
"2\n2 7\n15 24",
"2\n28 27\n1 9",
"2\n19 9\n7 9",
"2\n1 7\n19 24",
"2\n10 7\n21 19",
"2\n20 24\n2 9",
"2\n7 2\n8 22",
"2\n10 16\n14 18",
"2\n4 7\n11 14",
"2\n3 35\n2 17",
"2\n10 17\n8 18",
"2\n74 45\n2 17",
"2\n17 22\n4 16",
"2\n6 8\n11 3",
"2\n6 7\n1 2",
"2\n10 18\n1 10",
"2\n14 16\n6 8",
"2\n30 27\n2 9",
"2\n6 9\n10 13",
"2\n2 4\n15 10",
"2\n23 35\n3 9",
"2\n3 16\n14 18",
"2\n10 17\n2 18",
"2\n74 45\n4 17",
"2\n9 22\n4 6",
"2\n10 12\n6 9",
"2\n16 13\n3 11",
"2\n9 12\n2 13",
"2\n7 4\n13 8",
"2\n21 65\n1 2",
"2\n9 15\n7 12",
"2\n19 14\n3 9",
"2\n18 23\n2 9",
"2\n44 35\n3 9",
"2\n130 45\n4 17",
"2\n12 18\n2 10",
"2\n17 7\n20 12",
"2\n12 15\n7 12",
"2\n18 19\n1 11",
"2\n4 7\n15 19",
"2\n44 54\n3 9"
],
"output": [
"1\n2\n",
"2\n2\n",
"2\n5\n",
"2\n3\n",
"1\n2\n",
"5\n5\n",
"4\n3\n",
"1\n3\n",
"1\n1\n",
"1\n5\n",
"5\n3\n",
"2\n1\n",
"3\n3\n",
"4\n8\n",
"1\n4\n",
"6\n8\n",
"5\n1\n",
"3\n1\n",
"4\n5\n",
"4\n2\n",
"5\n2\n",
"4\n1\n",
"9\n1\n",
"5\n4\n",
"1\n7\n",
"4\n4\n",
"1\n11\n",
"2\n6\n",
"6\n3\n",
"8\n2\n",
"7\n2\n",
"6\n5\n",
"12\n1\n",
"17\n1\n",
"3\n4\n",
"2\n11\n",
"2\n9\n",
"11\n1\n",
"1\n15\n",
"4\n6\n",
"23\n1\n",
"4\n7\n",
"1\n13\n",
"3\n11\n",
"2\n10\n",
"7\n1\n",
"23\n2\n",
"10\n7\n",
"1\n6\n",
"2\n4\n",
"44\n2\n",
"10\n4\n",
"12\n4\n",
"11\n4\n",
"6\n4\n",
"3\n5\n",
"7\n6\n",
"14\n1\n",
"17\n2\n",
"10\n3\n",
"2\n15\n",
"13\n1\n",
"5\n7\n",
"1\n19\n",
"4\n10\n",
"20\n2\n",
"1\n8\n",
"10\n14\n",
"4\n11\n",
"3\n2\n",
"10\n8\n",
"36\n2\n",
"17\n4\n",
"6\n2\n",
"6\n1\n",
"10\n1\n",
"14\n6\n",
"14\n2\n",
"6\n10\n",
"2\n7\n",
"23\n3\n",
"3\n14\n",
"10\n2\n",
"36\n4\n",
"9\n4\n",
"10\n6\n",
"7\n3\n",
"9\n2\n",
"3\n6\n",
"21\n1\n",
"9\n7\n",
"9\n3\n",
"18\n2\n",
"21\n3\n",
"42\n4\n",
"12\n2\n",
"5\n9\n",
"12\n7\n",
"18\n1\n",
"4\n15\n",
"44\n3\n"
]
} | 1CODECHEF
|
m3_37835 | The new season of the Bytelandian Premier League (BPL) has started!
In the BPL, any two soccer teams play with each other exactly once. In each match, the winner earns 3 points and the loser earns no point. There is no draw (if the match is level after the two halves, two teams will take part in a penalty shootout to decide the winner).
At the end of the league, the winner is the team having the largest number of points. In case there are more than one team which has the largest number of points, these teams will be co-champions of the league.
The league has been running for some time. Now, the following problem has arisen: we would like to know if a specific team still has a chance of winning the league.
Input
The first line contains T (about 20), the number of test cases. Then T test cases follow. Each test case has the following form.
The first line of the test case contains a number N (1 ≤ N ≤ 140), the number of teams in the league.
The i-th line in the next N lines contains N numbers ai1, ai2, ..., ain. The number aij gives the status of the match between the i-th team and the j-th team:
aij = 1 if the i-th team wins,
aij = 0 if the i-th team loses,
aij = 2 if the match has not taken place yet.
The input data is such that if i!=j, then aij + aji = 1 or aij = aji = 2. Moreover, aii = 0 for all i.
Output
For each test case, print a binary string of length N, in which the i-th character is 1 if the i-th team still has a chance to be a champion of the league, and 0 otherwise.
Example
Input:
3
3
0 0 0
1 0 1
1 0 0
4
0 1 1 0
0 0 2 0
0 2 0 0
1 1 1 0
5
0 2 2 1 0
2 0 1 1 0
2 0 0 1 0
0 0 0 0 1
1 1 1 0 0
Output:
010
0001
11001 | #!/usr/bin/python
# Richard Lee
import os
import sys
def champion_possible(team_id, r_m, c_list):
def team_sort(x, y):
rx = r[x]
ry = r[y]
if rx == ry:
return p[y] - p[x]
return rx - ry
def team_sort_r(x, y):
rx = r[x]
ry = r[y]
if rx == ry:
return p[x] - p[y]
return ry - rx
r, p, t_a = r_m
team_sz = len(c_list)
r[team_id] += p[team_id]
p[team_id] = 0
t_r = t_a[team_id]
while len(t_r) > 0:
j = t_r.pop()
p[j] -= 1
t_a[j].remove(team_id)
c_win = True
t_l = [i for i in xrange(team_sz)]
t_l.remove(team_id)
t_l = sorted(t_l, lambda x,y: team_sort(x,y))
while len(t_l) > 0:
t_i = t_l.pop()
t_r = t_a[t_i]
t_s = r[t_i] + p[t_i]
if t_s > r[team_id]:
t_r = sorted(t_r, lambda x,y: team_sort_r(x,y))
t_r_sz = len(t_r)
d = t_s - r[team_id]
for i in xrange(0, t_r_sz):
t_low = t_r.pop()
if r[t_low] + 1 <= r[team_id]:
p[t_i] -= 1
p[t_low] -= 1
r[t_low] += 1
d -= 1
t_a[t_low].remove(t_i)
else:
t_r.append(t_low)
if d == 0:
break
r[t_i] += p[t_i]
if r[t_i] > r[team_id]:
c_win = False
break
elif p[t_i] > 0:
while len(t_r) > 0:
t_low = t_r.pop()
p[t_low] -= 1
t_a[t_low].remove(t_i)
if c_win:
for i in xrange(team_sz):
if r[i] == r[team_id]:
c_list[i] = 1
tc = int(sys.stdin.readline())
for t_i in xrange(tc):
teamcount = int(sys.stdin.readline())
max_s = 0
r = [0 for i in xrange(teamcount)]
t = r[:]
p = r[:]
champ_list = r[:]
for i in xrange(teamcount):
l = sys.stdin.readline().rstrip()
l_p = l.split()
t_r = []
for j in xrange(teamcount):
c = int(l_p[j])
if c == 1:
r[i] += 1
elif c == 2:
p[i] += 1
t_r.append(j)
if r[i] > max_s:
max_s = r[i]
t[i] = t_r
if max_s == 0:
print 0
continue
for i in xrange(teamcount):
if r[i] + p[i] >= max_s and not champ_list[i]:
t_c = [0 for j in xrange(teamcount)]
for j in xrange(teamcount):
t_c[j] = t[j][:]
champion_possible(i, (r[:],p[:],t_c), champ_list)
s_o = ""
for i in xrange(teamcount):
s_o += "%i" %(champ_list[i])
print s_o
exit(0) | 1Python2
| {
"input": [
"3\n3\n0 0 0 \n1 0 1 \n1 0 0 \n4\n0 1 1 0 \n0 0 2 0 \n0 2 0 0 \n1 1 1 0 \n5\n0 2 2 1 0 \n2 0 1 1 0 \n2 0 0 1 0 \n0 0 0 0 1 \n1 1 1 0 0"
],
"output": [
"010\n0001\n11001"
]
} | 1CODECHEF
|
prys01_37836 | Problem Statement
N knights were sitting at a round table and having a serious talk. The knights are so tired, that they can’t even rotate their neck to talk to talk to the knights sitting on their sides. So, a knight can only talk to the knight sitting diametrically opposite to him on the table.
Given the number of knights N, find the index of the knight sitting opposite to the knight numbered M. It is ensured that there is always a knight in front of the knight numbered M. Knights are indexed in clockwise manner from 1 to N.
Input
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains two space separated integers N and M denoting the number of knights and the index of knight for which answer is required.
Output
For each test case, output a single integer containing the required answer to the problem.
Constraints
1 ≤ T ≤ 100000
1 ≤ N ≤ 10^18
1 ≤ M ≤ N
Example
Input:
1
6 2
Output:
5 | #chiragjn
t=int(raw_input())
for i in xrange(t):
n,m=map(int,raw_input().split())
print m+(n>>1) if m<=n/2 else m-(n>>1) | 1Python2
| {
"input": [
"1\n6 2",
"1\n10 2",
"1\n20 2",
"1\n20 3",
"1\n39 3",
"1\n68 3",
"1\n10 3",
"1\n16 3",
"1\n29 4",
"1\n3 4",
"1\n3 5",
"1\n3 0",
"1\n3 1",
"1\n1 0",
"1\n-1 4",
"1\n-2 8",
"1\n-1 -1",
"1\n0 -1",
"1\n17 -2",
"1\n-4 -2",
"1\n-1 -2",
"1\n-2 -4",
"1\n0 10",
"1\n13 20",
"1\n9 20",
"1\n6 20",
"1\n0 19",
"1\n0 34",
"1\n-1 34",
"1\n-1 48",
"1\n-1 42",
"1\n-2 63",
"1\n-3 63",
"1\n-3 102",
"1\n-3 115",
"1\n-3 214",
"1\n29 1",
"1\n-4 -4",
"1\n-4 -7",
"1\n-4 -11",
"1\n0 -7",
"1\n-1 -7",
"1\n-1 -14",
"1\n-1 -10",
"1\n-1 -16",
"1\n0 -16",
"1\n2 -19",
"1\n2 -26",
"1\n1 -26",
"1\n1 -49",
"1\n0 -71",
"1\n-1 -71",
"1\n0 -10",
"1\n0 -20",
"1\n0 -27",
"1\n0 -44",
"1\n-1 -44",
"1\n-1 -56",
"1\n0 -56",
"1\n1 -12",
"1\n1 -24",
"1\n1 -40",
"1\n1 -36",
"1\n1 -54",
"1\n2 -54",
"1\n2 -70",
"1\n2 -81",
"1\n1 -81",
"1\n1 -32",
"1\n1 -47",
"1\n1 -28",
"1\n2 -20",
"1\n2 -31",
"1\n1 -31",
"1\n45 1",
"1\n89 1",
"1\n89 2",
"1\n89 3",
"1\n43 3",
"1\n43 4",
"1\n41 1",
"1\n51 1",
"1\n70 1",
"1\n123 1",
"1\n123 2",
"1\n62 0",
"1\n4 -24",
"1\n7 -24",
"1\n-41 -1",
"1\n-65 -1",
"1\n-121 -1",
"1\n-163 -1",
"1\n-103 -1",
"1\n-55 -1",
"1\n-1 -33",
"1\n-1 -47",
"1\n-1 -76",
"1\n-1 -109",
"1\n-1 -91",
"1\n-2 -22",
"1\n-14 -22"
],
"output": [
"5",
"7\n",
"12\n",
"13\n",
"22\n",
"37\n",
"8\n",
"11\n",
"18\n",
"3\n",
"4\n",
"1\n",
"2\n",
"0\n",
"5\n",
"9\n",
"-2\n",
"-1\n",
"6\n",
"-4\n",
"-3\n",
"-5\n",
"10\n",
"14\n",
"16\n",
"17\n",
"19\n",
"34\n",
"35\n",
"49\n",
"43\n",
"64\n",
"65\n",
"104\n",
"117\n",
"216\n",
"15\n",
"-6\n",
"-9\n",
"-13\n",
"-7\n",
"-8\n",
"-15\n",
"-11\n",
"-17\n",
"-16\n",
"-18\n",
"-25\n",
"-26\n",
"-49\n",
"-71\n",
"-72\n",
"-10\n",
"-20\n",
"-27\n",
"-44\n",
"-45\n",
"-57\n",
"-56\n",
"-12\n",
"-24\n",
"-40\n",
"-36\n",
"-54\n",
"-53\n",
"-69\n",
"-80\n",
"-81\n",
"-32\n",
"-47\n",
"-28\n",
"-19\n",
"-30\n",
"-31\n",
"23\n",
"45\n",
"46\n",
"47\n",
"24\n",
"25\n",
"21\n",
"26\n",
"36\n",
"62\n",
"63\n",
"31\n",
"-22\n",
"-21\n",
"20\n",
"32\n",
"60\n",
"81\n",
"51\n",
"27\n",
"-34\n",
"-48\n",
"-77\n",
"-110\n",
"-92\n",
"-23\n",
"-29\n"
]
} | 1CODECHEF
|
tidrice_37837 | Did you know that there are over 40,000 varieties of Rice in the world ? There are so many dishes that can be prepared with Rice too. A famous chef from Mumbai, Tid Gusto prepared a new dish and named it 'Tid Rice'. He posted the recipe in his newly designed blog for community voting, where a user can plus (+) or minus (-) the recipe. The final score is just the sum of all votes, where (+) and (-) are treated as +1 and -1 respectively. But, being just a chef ( and not a codechef ) he forgot to take care of multiple votes by the same user.
A user might have voted multiple times and Tid is worried that the final score shown is not the correct one. Luckily, he found the user logs, which had all the N votes in the order they arrived. Remember that, if a user votes more than once, the user's previous vote is first nullified before the latest vote is counted ( see explanation for more clarity ). Given these records in order ( and being a codechef yourself :) ), calculate the correct final score.
Input
First line contains T ( number of testcases, around 20 ). T cases follow. Each test case starts with N ( total number of votes, 1 <= N <= 100 ). Each of the next N lines is of the form "userid vote" ( quotes for clarity only ), where userid is a non-empty string of lower-case alphabets ( 'a' - 'z' ) not more than 20 in length and vote is either a + or - . See the sample cases below, for more clarity.
Output
For each test case, output the correct final score in a new line
Example
Input:
3
4
tilak +
tilak +
tilak -
tilak +
3
ratna +
shashi -
ratna -
3
bhavani -
bhavani +
bhavani -
Output:
1
-2
-1
Explanation
Case 1 : Initially score = 0. Updation of scores in the order of user tilak's votes is as follows,
( + ): +1 is added to the final score. This is the 1st vote by this user, so no previous vote to nullify. score = 1
( + ): 0 should be added ( -1 to nullify previous (+) vote, +1 to count the current (+) vote ). score = 1
( - ) : -2 should be added ( -1 to nullify previous (+) vote, -1 to count the current (-) vote ). score = -1
( + ): +2 should be added ( +1 to nullify previous (-) vote, +1 to count the current (+) vote ). score = 1 | t=int(raw_input())
for _ in range(0,t):
n=int(raw_input())
d= dict(raw_input().split() for _ in range(n))
k=[]
for value in d:
k.append(d[value])
sum=0
for item in k:
if item=='+':
sum+=1
elif item=="-":
sum-=1
print sum | 1Python2
| {
"input": [
"3\n4\ntilak +\ntilak +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavami +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nr`tna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\ninavahb +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhaianv -\nbhavani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nhbavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nr`tna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavnai -",
"3\n4\ntilak +\ntilak +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nrbtna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshathi -\nranta -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\ntilak +\nailtk +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nrbtna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbahvani -\nbhavani +\nbhavani -",
"3\n4\ntikak +\nkalit +\ntilak -\ntilak +\n3\nr`tna +\nrhashi -\nnatra -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilbk -\ntilak +\n3\nrbtna +\nshashi -\nratna -\n3\nbhaianv -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nartna +\nsharhi -\nratna -\n3\nbiavanh -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nailtk +\ntilbk -\ntilak +\n3\nratna +\nihashs -\nrbtna -\n3\nbhaianv -\nbhavani +\nbhavani -",
"3\n4\ntklai +\nkalit +\ntilak -\ntilak +\n3\nratna +\nsharhi -\nratna -\n3\nciavanh -\nbhavani +\nbhavani -",
"3\n4\nsilak +\nkalit +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbahvani -\nbhawani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhiuana +\nbhavani -",
"3\n4\ntikak +\nkalit +\ntilak -\ntilak +\n3\nr`tna +\nrhashi -\nnatra -\n3\nbgavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavami -",
"3\n4\ntilak +\nkalit +\ntilak -\nkalit +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavami +\ninavahb -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilai +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilal -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavami -",
"3\n4\ntilbk +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nratna +\nshashi -\nqatna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhawani -\nbhavami +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\ninavahb +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshathi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\nkalit -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavami -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nr`tna +\nshashh -\nratna -\n3\nbhavani -\nbhavani +\nbhavnai -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\ninavahb -",
"3\n4\ntilbk +\ntilak +\ntilak -\ntimaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\nkalit +\nitlak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\ninavahb +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nsiashi -\nratna -\n3\nbaavhni -\nbhauani +\ninavahb -",
"3\n4\ntilbk +\ntilak +\ntilak -\ntimaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nvhabani +\nbhavani -",
"3\n4\nuilak +\nkalit +\nitlak -\ntilaj +\n3\nratna +\nshashi -\nantar -\n3\nbhavani -\ninavahb +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntikaj +\n3\nratna +\nshathi -\nranta -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nkaliu +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nsiashi -\nratna -\n3\nbaavhni -\nbhauani +\ninavahb -",
"3\n4\nuilak +\nkalit +\nitlak -\ntilaj +\n3\nratna +\nshashi -\nantar -\n3\nbhavani -\ninavahb +\nbiavani -",
"3\n4\nuilak +\nkalit +\nitlak -\ntilaj +\n3\nratna +\nshashi -\nantar -\n3\ninavahb -\ninavahb +\nbiavani -",
"3\n4\ntklai +\ntilak +\ntilak -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nratna +\nsharhi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nihsahs -\nratna -\n3\nbhavani -\nbhavami +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntjlbk -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhaianv -\nbhavani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntialk -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhnh -\nbhauani +\nbhavami -",
"3\n4\nuilak +\nthlak +\ntilak -\ntilai +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilal -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\ninauahb +\nbhavami -",
"3\n4\nsilbk +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\nthlak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhawani -\nbhavami +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntialj +\n3\nratna +\nshathi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\nkalit -\ntilaj +\n3\nratna +\nshasii -\nratna -\n3\nbaavhni -\nbhauani +\nbhavami -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nsgashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\nkalti -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\ninavahb +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\njilat +\n3\nratna +\nshathi -\nranta -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nsiashi -\nrauna -\n3\nbaavhni -\nbhauani +\ninavahb -",
"3\n4\nuilak +\ntilak +\ntilka -\ntikaj +\n3\nratna +\nshathi -\nranta -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\nkalti -\ntilaj +\n3\nratna +\nshashi -\nantar -\n3\ninavahb -\ninavahb +\nbiavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntimak +\n3\nratna +\nsharhi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nhhsahs -\nratna -\n3\nbhavani -\nbhavami +\nbhavani -",
"3\n4\nkalit +\ntilak +\ntjlbk -\ntilak +\n3\nratna +\nshashi -\nratna -\n3\nbhaianv -\nbhavani +\nbhavani -",
"3\n4\nuilak +\nk`lit +\ntialk -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nualik +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nihsahs -\nratna -\n3\nbaavhnh -\nbhauani +\nbhavami -",
"3\n4\nuilak +\nkalit +\ntilal -\nthlaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\ninauahb +\nbhavami -",
"3\n4\nsilbk +\ntilak +\ntilak -\ntilaj +\n3\nrtana +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilka +\nailtk +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nrbtna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\ntliak +\ntilak -\ntialj +\n3\nratna +\nshathi -\nratna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\ntilak +\nuilka -\ntikaj +\n3\nratna +\nshathi -\nranta -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\ntilak +\ntalik +\ntilak -\ntilaj +\n3\nratna +\nhhsahs -\nratna -\n3\nbhavani -\nbhavami +\nbhavani -",
"3\n4\nuilak +\nk`lit +\ntialk -\ntilaj +\n3\nratna +\nshashi -\nqatna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilal -\njalht +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\ninauahb +\nbhavami -",
"3\n4\ntilka +\nailtk +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nrbtna -\n3\nbhavani -\nbhavani +\nbgavani -",
"3\n4\nuilak +\ntliak +\ntilak -\ntialj +\n3\nratna +\nshathi -\nrasna -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\ntilak +\nuilka -\ntikaj +\n3\nratna +\nshathi -\nranta -\n3\nbhavani -\nbhauain +\nbhavani -",
"3\n4\ntilbk +\ntalik +\ntilak -\ntilaj +\n3\nratna +\nhhsahs -\nratna -\n3\nbhavani -\nbhavami +\nbhavani -",
"3\n4\nuilak +\nk`lit +\ntialk -\ntilaj +\n3\nratna +\nshashi -\nqatoa -\n3\nbhavani -\nbhauani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilal -\njalht +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\ninahaub +\nbhavami -",
"3\n4\ntilka +\nailtk +\ntilbk -\ntilak +\n3\nratna +\nshashi -\nrbtna -\n3\ninavahb -\nbhavani +\nbgavani -",
"3\n4\ntilak +\nkalit +\ntilak -\ntilak +\n3\nr`tna +\nrhashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilbk -\ntilak +\n3\nratna +\nshathi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhauani +\nbhbvani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhiuana +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\nkalit +\n3\nratna +\nshashi -\nratna -\n3\nhbavani -\nbhavani +\nbhavani -",
"3\n4\nuilak +\nkalit +\ntilak -\ntilaj +\n3\nrbtna +\nrhashi -\nratna -\n3\nbaavhni -\nbhauani +\nbhavani -",
"3\n4\ntilbk +\ntilak +\ntilak -\njalit +\n3\nratna +\nshashi -\nratna -\n3\nbhavani -\nbhavani +\nbhavani -",
"3\n4\ntilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshashi -\nranta -\n3\nbhawani -\nbhavami +\nbhavani -",
"3\n4\nuilak +\ntilak +\ntilak -\ntilaj +\n3\nratna +\nshathi -\nratna -\n3\nbhavani -\nbhauani +\nbhavnai -",
"3\n4\nuilak +\nkalit +\nkalit -\ntilaj +\n3\nratna +\nshashi -\nratna -\n3\nbaavhni -\ninauahb +\nbhavami -",
"3\n4\ntilak +\nkblit +\ntilak -\ntilak +\n3\nr`tna +\nshashh -\nratna -\n3\nbhavani -\nbhavani +\nbhavnai -",
"3\n4\nuilak +\nkamit +\ntilak -\ntilaj +\n3\nrbtna +\nshashi -\nratna -\n3\nbaavhni -\nbhauani +\ninavahb -"
],
"output": [
"1\n-2\n-1\n",
"0\n-2\n-1\n",
"2\n-2\n-1\n",
"1\n-2\n-1\n",
"0\n-2\n0\n",
"2\n-1\n-1\n",
"1\n-2\n0\n",
"0\n-2\n-2\n",
"2\n-2\n0\n",
"1\n-2\n-2\n",
"2\n-1\n0\n",
"0\n-1\n-1\n",
"1\n-1\n0\n",
"1\n-1\n-1\n",
"2\n-2\n-2\n",
"3\n-1\n-1\n",
"0\n-1\n-2\n",
"2\n-1\n-2\n",
"1\n-1\n-2\n",
"3\n-2\n-2\n",
"3\n-2\n-1\n",
"3\n-2\n0\n",
"3\n-1\n-2\n",
"0\n-2\n-1\n",
"1\n-2\n0\n",
"2\n-2\n-1\n",
"2\n-2\n-1\n",
"0\n-2\n-1\n",
"0\n-2\n-1\n",
"1\n-2\n0\n",
"2\n-1\n-1\n",
"2\n-2\n-1\n",
"1\n-2\n-1\n",
"2\n-1\n-1\n",
"0\n-2\n-1\n",
"2\n-2\n0\n",
"1\n-2\n0\n",
"1\n-2\n-1\n",
"2\n-1\n0\n",
"2\n-1\n-1\n",
"1\n-2\n-1\n",
"2\n-2\n0\n",
"2\n-1\n-1\n",
"1\n-2\n0\n",
"2\n-1\n0\n",
"1\n-1\n0\n",
"2\n-1\n-1\n",
"2\n-1\n-1\n",
"2\n-1\n0\n",
"2\n-2\n-1\n",
"2\n-2\n-1\n",
"0\n-2\n0\n",
"0\n-2\n-2\n",
"2\n-2\n0\n",
"1\n-2\n-1\n",
"2\n-2\n-1\n",
"2\n-2\n0\n",
"2\n-2\n-1\n",
"1\n-2\n-1\n",
"1\n-2\n-1\n",
"1\n-2\n0\n",
"1\n-2\n-1\n",
"2\n-1\n-1\n",
"2\n-2\n0\n",
"1\n-1\n0\n",
"2\n-1\n-1\n",
"2\n-1\n0\n",
"2\n-1\n0\n",
"1\n-2\n-1\n",
"0\n-2\n0\n",
"1\n-2\n-2\n",
"2\n-2\n0\n",
"1\n-2\n-1\n",
"2\n-2\n-1\n",
"2\n-2\n-1\n",
"1\n-1\n-1\n",
"2\n-1\n-1\n",
"2\n-2\n0\n",
"2\n-1\n0\n",
"1\n-2\n0\n",
"2\n-1\n0\n",
"2\n-2\n-1\n",
"2\n-1\n0\n",
"2\n-1\n0\n",
"2\n-1\n0\n",
"2\n-2\n0\n",
"2\n-1\n0\n",
"2\n-2\n-1\n",
"2\n-1\n-1\n",
"2\n-1\n-1\n",
"0\n-2\n-1\n",
"1\n-2\n-1\n",
"2\n-2\n0\n",
"0\n-2\n-2\n",
"2\n-1\n-1\n",
"1\n-2\n-1\n",
"0\n-1\n-1\n",
"1\n-2\n-1\n",
"1\n-2\n-1\n",
"2\n-1\n0\n",
"2\n-1\n-1\n"
]
} | 1CODECHEF
|
1013_A. Piles With Stones_37838 | There is a beautiful garden of stones in Innopolis.
Its most beautiful place is the n piles with stones numbered from 1 to n.
EJOI participants have visited this place twice.
When they first visited it, the number of stones in piles was x_1, x_2, …, x_n, correspondingly. One of the participants wrote down this sequence in a notebook.
They visited it again the following day, and the number of stones in piles was equal to y_1, y_2, …, y_n. One of the participants also wrote it down in a notebook.
It is well known that every member of the EJOI jury during the night either sits in the room 108 or comes to the place with stones. Each jury member who comes there either takes one stone for himself or moves one stone from one pile to another. We can assume that there is an unlimited number of jury members. No one except the jury goes to the place with stones at night.
Participants want to know whether their notes can be correct or they are sure to have made a mistake.
Input
The first line of the input file contains a single integer n, the number of piles with stones in the garden (1 ≤ n ≤ 50).
The second line contains n integers separated by spaces x_1, x_2, …, x_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the first time (0 ≤ x_i ≤ 1000).
The third line contains n integers separated by spaces y_1, y_2, …, y_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the second time (0 ≤ y_i ≤ 1000).
Output
If the records can be consistent output "Yes", otherwise output "No" (quotes for clarity).
Examples
Input
5
1 2 3 4 5
2 1 4 3 5
Output
Yes
Input
5
1 1 1 1 1
1 0 1 0 1
Output
Yes
Input
3
2 3 9
1 7 9
Output
No
Note
In the first example, the following could have happened during the night: one of the jury members moved one stone from the second pile to the first pile, and the other jury member moved one stone from the fourth pile to the third pile.
In the second example, the jury took stones from the second and fourth piles.
It can be proved that it is impossible for the jury members to move and took stones to convert the first array into the second array. | n = input()
t1 = map(int, raw_input().split())
t2 = map(int, raw_input().split())
s_t1 = sum(t1)
s_t2 = sum(t2)
if s_t2>s_t1:
print 'No'
exit(0)
else:
print 'Yes'
exit(0) | 1Python2
| {
"input": [
"5\n1 2 3 4 5\n2 1 4 3 5\n",
"5\n1 1 1 1 1\n1 0 1 0 1\n",
"3\n2 3 9\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1000 1000\n",
"5\n3 3 3 3 3\n2 2 2 2 2\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 1\n",
"3\n10 10 1\n0 0 2\n",
"10\n436 442 197 740 550 361 317 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 0 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 1\n1 1 1 1 1\n",
"1\n0\n0\n",
"2\n353 313\n344 322\n",
"1\n300\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 646 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000\n",
"6\n3 4 2 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 0 0\n",
"2\n500 500\n1 1\n",
"4\n936 342 19 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 1 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 407 724 117 268 741 918\n",
"3\n3 3 3\n1 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 1 1\n",
"1\n11\n9\n",
"1\n100\n0\n",
"1\n10\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 4\n",
"5\n417 666 978 553 271\n488 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n5 5\n1 1\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n7\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 1 1\n",
"5\n2 3 4 5 1\n1 1 3 4 5\n",
"2\n3 3\n2 2\n",
"8\n5 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 4 5\n",
"2\n10 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 9 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 39 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n1\n",
"1\n2\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n2 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 823 955 599 575 312 547 784 645\n",
"5\n4 5 3 6 7\n1 1 4 4 5\n",
"3\n1000 1000 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 946 832 454 581\n",
"1\n50\n1\n",
"3\n1000 1000 1000\n0 0 0\n",
"1\n633\n633\n",
"1\n3\n2\n",
"5\n1 2 3 4 5\n0 0 0 0 0\n",
"2\n5 3\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 1 1\n",
"1\n100\n1\n",
"1\n1\n1\n",
"1\n1000\n1000\n",
"2\n353 313\n327 470\n",
"4\n936 342 19 398\n807 250 199 439\n",
"10\n436 442 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n1\n5\n",
"3\n2 4 2\n4 3 0\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1000 1000\n1000 1000\n",
"3\n3 4 4\n3 5 4\n",
"3\n2 4 5\n1 2 3\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 320 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 112 940 73 707 296 472 86\n",
"3\n835 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n10\n1\n",
"4\n1 1 1 1\n0 0 0 3\n",
"1\n1000\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 296 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 638 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n609\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"4\n1000 1000 1000 1000\n1000 1000 1100 1000\n",
"5\n3 3 3 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 0\n",
"10\n436 442 197 740 550 361 212 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 1 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 1261 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 0\n1 1 1 1 1\n",
"1\n0\n1\n",
"2\n403 313\n344 322\n",
"1\n584\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 964 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1100 1000 1000 1000 1000\n",
"6\n3 4 3 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 1 0\n",
"2\n12 500\n1 1\n",
"4\n936 342 6 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 0 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 91 724 117 268 741 918\n",
"3\n3 3 3\n2 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 448 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 0 1\n",
"1\n11\n6\n",
"1\n100\n-1\n",
"1\n0\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 0\n",
"5\n417 666 978 553 271\n216 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 0000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n4 5\n1 1\n",
"40\n361 427 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1100 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n2\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 104 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 0 1\n",
"5\n2 3 4 5 1\n1 1 3 4 0\n",
"2\n3 3\n2 4\n",
"8\n0 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 8 5\n",
"2\n16 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 6 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 275 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 62 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n2\n",
"1\n2\n0\n",
"50\n620 222 703 953 303 333 371 107 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n4 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 1089 955 599 575 312 547 784 645\n",
"5\n4 10 3 6 7\n1 1 4 4 5\n",
"3\n1000 1001 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 876 832 454 581\n",
"1\n99\n1\n",
"3\n1000 1000 1000\n0 0 1\n",
"1\n633\n339\n",
"1\n5\n2\n",
"5\n1 4 3 4 5\n0 0 0 0 0\n",
"2\n5 1\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 0 1\n",
"1\n101\n1\n",
"1\n1\n0\n",
"1\n1010\n1000\n",
"2\n672 313\n327 470\n",
"4\n936 342 19 398\n238 250 199 439\n",
"10\n436 730 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n2\n5\n",
"3\n2 4 2\n6 3 0\n",
"20\n82 292 379 893 300 854 895 638 70 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1010 1000\n1000 1000\n",
"3\n3 4 4\n3 4 4\n",
"3\n2 4 5\n1 2 5\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 100 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 47 940 73 707 296 472 86\n",
"3\n183 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 0000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n20\n1\n",
"4\n1 1 1 0\n0 0 0 3\n",
"1\n1001\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 157 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 799 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 1416 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n148\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"5\n1 2 3 4 5\n2 1 4 3 7\n",
"5\n1 1 1 1 1\n1 0 2 0 1\n",
"3\n2 3 0\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1101 1000\n",
"5\n3 3 0 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 512 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n3 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 -1\n"
],
"output": [
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n"
]
} | 2CODEFORCES
|
1013_A. Piles With Stones_37839 | There is a beautiful garden of stones in Innopolis.
Its most beautiful place is the n piles with stones numbered from 1 to n.
EJOI participants have visited this place twice.
When they first visited it, the number of stones in piles was x_1, x_2, …, x_n, correspondingly. One of the participants wrote down this sequence in a notebook.
They visited it again the following day, and the number of stones in piles was equal to y_1, y_2, …, y_n. One of the participants also wrote it down in a notebook.
It is well known that every member of the EJOI jury during the night either sits in the room 108 or comes to the place with stones. Each jury member who comes there either takes one stone for himself or moves one stone from one pile to another. We can assume that there is an unlimited number of jury members. No one except the jury goes to the place with stones at night.
Participants want to know whether their notes can be correct or they are sure to have made a mistake.
Input
The first line of the input file contains a single integer n, the number of piles with stones in the garden (1 ≤ n ≤ 50).
The second line contains n integers separated by spaces x_1, x_2, …, x_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the first time (0 ≤ x_i ≤ 1000).
The third line contains n integers separated by spaces y_1, y_2, …, y_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the second time (0 ≤ y_i ≤ 1000).
Output
If the records can be consistent output "Yes", otherwise output "No" (quotes for clarity).
Examples
Input
5
1 2 3 4 5
2 1 4 3 5
Output
Yes
Input
5
1 1 1 1 1
1 0 1 0 1
Output
Yes
Input
3
2 3 9
1 7 9
Output
No
Note
In the first example, the following could have happened during the night: one of the jury members moved one stone from the second pile to the first pile, and the other jury member moved one stone from the fourth pile to the third pile.
In the second example, the jury took stones from the second and fourth piles.
It can be proved that it is impossible for the jury members to move and took stones to convert the first array into the second array. | #include <bits/stdc++.h>
using namespace std;
const int INF = 0x3f3f3f3f;
const long long int llINF = 0x3f3f3f3f3f3f3f;
int main() {
int n;
cin >> n;
long long int a = 0, b = 0;
for (int i = 0; i < n; i++) {
int x;
cin >> x;
a += x;
}
for (int i = 0; i < n; i++) {
int x;
cin >> x;
b += x;
}
if (a >= b)
cout << "Yes" << endl;
else
cout << "No" << endl;
}
| 2C++
| {
"input": [
"5\n1 2 3 4 5\n2 1 4 3 5\n",
"5\n1 1 1 1 1\n1 0 1 0 1\n",
"3\n2 3 9\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1000 1000\n",
"5\n3 3 3 3 3\n2 2 2 2 2\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 1\n",
"3\n10 10 1\n0 0 2\n",
"10\n436 442 197 740 550 361 317 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 0 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 1\n1 1 1 1 1\n",
"1\n0\n0\n",
"2\n353 313\n344 322\n",
"1\n300\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 646 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000\n",
"6\n3 4 2 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 0 0\n",
"2\n500 500\n1 1\n",
"4\n936 342 19 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 1 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 407 724 117 268 741 918\n",
"3\n3 3 3\n1 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 1 1\n",
"1\n11\n9\n",
"1\n100\n0\n",
"1\n10\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 4\n",
"5\n417 666 978 553 271\n488 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n5 5\n1 1\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n7\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 1 1\n",
"5\n2 3 4 5 1\n1 1 3 4 5\n",
"2\n3 3\n2 2\n",
"8\n5 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 4 5\n",
"2\n10 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 9 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 39 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n1\n",
"1\n2\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n2 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 823 955 599 575 312 547 784 645\n",
"5\n4 5 3 6 7\n1 1 4 4 5\n",
"3\n1000 1000 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 946 832 454 581\n",
"1\n50\n1\n",
"3\n1000 1000 1000\n0 0 0\n",
"1\n633\n633\n",
"1\n3\n2\n",
"5\n1 2 3 4 5\n0 0 0 0 0\n",
"2\n5 3\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 1 1\n",
"1\n100\n1\n",
"1\n1\n1\n",
"1\n1000\n1000\n",
"2\n353 313\n327 470\n",
"4\n936 342 19 398\n807 250 199 439\n",
"10\n436 442 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n1\n5\n",
"3\n2 4 2\n4 3 0\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1000 1000\n1000 1000\n",
"3\n3 4 4\n3 5 4\n",
"3\n2 4 5\n1 2 3\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 320 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 112 940 73 707 296 472 86\n",
"3\n835 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n10\n1\n",
"4\n1 1 1 1\n0 0 0 3\n",
"1\n1000\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 296 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 638 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n609\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"4\n1000 1000 1000 1000\n1000 1000 1100 1000\n",
"5\n3 3 3 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 0\n",
"10\n436 442 197 740 550 361 212 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 1 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 1261 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 0\n1 1 1 1 1\n",
"1\n0\n1\n",
"2\n403 313\n344 322\n",
"1\n584\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 964 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1100 1000 1000 1000 1000\n",
"6\n3 4 3 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 1 0\n",
"2\n12 500\n1 1\n",
"4\n936 342 6 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 0 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 91 724 117 268 741 918\n",
"3\n3 3 3\n2 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 448 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 0 1\n",
"1\n11\n6\n",
"1\n100\n-1\n",
"1\n0\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 0\n",
"5\n417 666 978 553 271\n216 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 0000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n4 5\n1 1\n",
"40\n361 427 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1100 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n2\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 104 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 0 1\n",
"5\n2 3 4 5 1\n1 1 3 4 0\n",
"2\n3 3\n2 4\n",
"8\n0 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 8 5\n",
"2\n16 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 6 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 275 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 62 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n2\n",
"1\n2\n0\n",
"50\n620 222 703 953 303 333 371 107 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n4 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 1089 955 599 575 312 547 784 645\n",
"5\n4 10 3 6 7\n1 1 4 4 5\n",
"3\n1000 1001 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 876 832 454 581\n",
"1\n99\n1\n",
"3\n1000 1000 1000\n0 0 1\n",
"1\n633\n339\n",
"1\n5\n2\n",
"5\n1 4 3 4 5\n0 0 0 0 0\n",
"2\n5 1\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 0 1\n",
"1\n101\n1\n",
"1\n1\n0\n",
"1\n1010\n1000\n",
"2\n672 313\n327 470\n",
"4\n936 342 19 398\n238 250 199 439\n",
"10\n436 730 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n2\n5\n",
"3\n2 4 2\n6 3 0\n",
"20\n82 292 379 893 300 854 895 638 70 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1010 1000\n1000 1000\n",
"3\n3 4 4\n3 4 4\n",
"3\n2 4 5\n1 2 5\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 100 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 47 940 73 707 296 472 86\n",
"3\n183 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 0000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n20\n1\n",
"4\n1 1 1 0\n0 0 0 3\n",
"1\n1001\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 157 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 799 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 1416 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n148\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"5\n1 2 3 4 5\n2 1 4 3 7\n",
"5\n1 1 1 1 1\n1 0 2 0 1\n",
"3\n2 3 0\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1101 1000\n",
"5\n3 3 0 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 512 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n3 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 -1\n"
],
"output": [
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n"
]
} | 2CODEFORCES
|
1013_A. Piles With Stones_37840 | There is a beautiful garden of stones in Innopolis.
Its most beautiful place is the n piles with stones numbered from 1 to n.
EJOI participants have visited this place twice.
When they first visited it, the number of stones in piles was x_1, x_2, …, x_n, correspondingly. One of the participants wrote down this sequence in a notebook.
They visited it again the following day, and the number of stones in piles was equal to y_1, y_2, …, y_n. One of the participants also wrote it down in a notebook.
It is well known that every member of the EJOI jury during the night either sits in the room 108 or comes to the place with stones. Each jury member who comes there either takes one stone for himself or moves one stone from one pile to another. We can assume that there is an unlimited number of jury members. No one except the jury goes to the place with stones at night.
Participants want to know whether their notes can be correct or they are sure to have made a mistake.
Input
The first line of the input file contains a single integer n, the number of piles with stones in the garden (1 ≤ n ≤ 50).
The second line contains n integers separated by spaces x_1, x_2, …, x_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the first time (0 ≤ x_i ≤ 1000).
The third line contains n integers separated by spaces y_1, y_2, …, y_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the second time (0 ≤ y_i ≤ 1000).
Output
If the records can be consistent output "Yes", otherwise output "No" (quotes for clarity).
Examples
Input
5
1 2 3 4 5
2 1 4 3 5
Output
Yes
Input
5
1 1 1 1 1
1 0 1 0 1
Output
Yes
Input
3
2 3 9
1 7 9
Output
No
Note
In the first example, the following could have happened during the night: one of the jury members moved one stone from the second pile to the first pile, and the other jury member moved one stone from the fourth pile to the third pile.
In the second example, the jury took stones from the second and fourth piles.
It can be proved that it is impossible for the jury members to move and took stones to convert the first array into the second array. | n=int(input())
p=input().split(' ')
c=input().split(' ')
t=z=0
for k in range(n):
t+=int(p[k])
z+=int(c[k])
if (t<z):
print('No')
else:
print('Yes')
| 3Python3
| {
"input": [
"5\n1 2 3 4 5\n2 1 4 3 5\n",
"5\n1 1 1 1 1\n1 0 1 0 1\n",
"3\n2 3 9\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1000 1000\n",
"5\n3 3 3 3 3\n2 2 2 2 2\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 1\n",
"3\n10 10 1\n0 0 2\n",
"10\n436 442 197 740 550 361 317 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 0 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 1\n1 1 1 1 1\n",
"1\n0\n0\n",
"2\n353 313\n344 322\n",
"1\n300\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 646 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000\n",
"6\n3 4 2 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 0 0\n",
"2\n500 500\n1 1\n",
"4\n936 342 19 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 1 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 407 724 117 268 741 918\n",
"3\n3 3 3\n1 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 1 1\n",
"1\n11\n9\n",
"1\n100\n0\n",
"1\n10\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 4\n",
"5\n417 666 978 553 271\n488 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n5 5\n1 1\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n7\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 1 1\n",
"5\n2 3 4 5 1\n1 1 3 4 5\n",
"2\n3 3\n2 2\n",
"8\n5 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 4 5\n",
"2\n10 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 9 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 39 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n1\n",
"1\n2\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n2 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 823 955 599 575 312 547 784 645\n",
"5\n4 5 3 6 7\n1 1 4 4 5\n",
"3\n1000 1000 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 946 832 454 581\n",
"1\n50\n1\n",
"3\n1000 1000 1000\n0 0 0\n",
"1\n633\n633\n",
"1\n3\n2\n",
"5\n1 2 3 4 5\n0 0 0 0 0\n",
"2\n5 3\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 1 1\n",
"1\n100\n1\n",
"1\n1\n1\n",
"1\n1000\n1000\n",
"2\n353 313\n327 470\n",
"4\n936 342 19 398\n807 250 199 439\n",
"10\n436 442 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n1\n5\n",
"3\n2 4 2\n4 3 0\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1000 1000\n1000 1000\n",
"3\n3 4 4\n3 5 4\n",
"3\n2 4 5\n1 2 3\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 320 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 112 940 73 707 296 472 86\n",
"3\n835 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n10\n1\n",
"4\n1 1 1 1\n0 0 0 3\n",
"1\n1000\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 296 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 638 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n609\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"4\n1000 1000 1000 1000\n1000 1000 1100 1000\n",
"5\n3 3 3 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 0\n",
"10\n436 442 197 740 550 361 212 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 1 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 1261 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 0\n1 1 1 1 1\n",
"1\n0\n1\n",
"2\n403 313\n344 322\n",
"1\n584\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 964 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1100 1000 1000 1000 1000\n",
"6\n3 4 3 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 1 0\n",
"2\n12 500\n1 1\n",
"4\n936 342 6 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 0 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 91 724 117 268 741 918\n",
"3\n3 3 3\n2 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 448 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 0 1\n",
"1\n11\n6\n",
"1\n100\n-1\n",
"1\n0\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 0\n",
"5\n417 666 978 553 271\n216 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 0000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n4 5\n1 1\n",
"40\n361 427 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1100 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n2\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 104 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 0 1\n",
"5\n2 3 4 5 1\n1 1 3 4 0\n",
"2\n3 3\n2 4\n",
"8\n0 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 8 5\n",
"2\n16 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 6 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 275 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 62 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n2\n",
"1\n2\n0\n",
"50\n620 222 703 953 303 333 371 107 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n4 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 1089 955 599 575 312 547 784 645\n",
"5\n4 10 3 6 7\n1 1 4 4 5\n",
"3\n1000 1001 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 876 832 454 581\n",
"1\n99\n1\n",
"3\n1000 1000 1000\n0 0 1\n",
"1\n633\n339\n",
"1\n5\n2\n",
"5\n1 4 3 4 5\n0 0 0 0 0\n",
"2\n5 1\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 0 1\n",
"1\n101\n1\n",
"1\n1\n0\n",
"1\n1010\n1000\n",
"2\n672 313\n327 470\n",
"4\n936 342 19 398\n238 250 199 439\n",
"10\n436 730 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n2\n5\n",
"3\n2 4 2\n6 3 0\n",
"20\n82 292 379 893 300 854 895 638 70 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1010 1000\n1000 1000\n",
"3\n3 4 4\n3 4 4\n",
"3\n2 4 5\n1 2 5\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 100 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 47 940 73 707 296 472 86\n",
"3\n183 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 0000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n20\n1\n",
"4\n1 1 1 0\n0 0 0 3\n",
"1\n1001\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 157 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 799 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 1416 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n148\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"5\n1 2 3 4 5\n2 1 4 3 7\n",
"5\n1 1 1 1 1\n1 0 2 0 1\n",
"3\n2 3 0\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1101 1000\n",
"5\n3 3 0 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 512 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n3 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 -1\n"
],
"output": [
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n"
]
} | 2CODEFORCES
|
1013_A. Piles With Stones_37841 | There is a beautiful garden of stones in Innopolis.
Its most beautiful place is the n piles with stones numbered from 1 to n.
EJOI participants have visited this place twice.
When they first visited it, the number of stones in piles was x_1, x_2, …, x_n, correspondingly. One of the participants wrote down this sequence in a notebook.
They visited it again the following day, and the number of stones in piles was equal to y_1, y_2, …, y_n. One of the participants also wrote it down in a notebook.
It is well known that every member of the EJOI jury during the night either sits in the room 108 or comes to the place with stones. Each jury member who comes there either takes one stone for himself or moves one stone from one pile to another. We can assume that there is an unlimited number of jury members. No one except the jury goes to the place with stones at night.
Participants want to know whether their notes can be correct or they are sure to have made a mistake.
Input
The first line of the input file contains a single integer n, the number of piles with stones in the garden (1 ≤ n ≤ 50).
The second line contains n integers separated by spaces x_1, x_2, …, x_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the first time (0 ≤ x_i ≤ 1000).
The third line contains n integers separated by spaces y_1, y_2, …, y_n, the number of stones in piles recorded in the notebook when the participants came to the place with stones for the second time (0 ≤ y_i ≤ 1000).
Output
If the records can be consistent output "Yes", otherwise output "No" (quotes for clarity).
Examples
Input
5
1 2 3 4 5
2 1 4 3 5
Output
Yes
Input
5
1 1 1 1 1
1 0 1 0 1
Output
Yes
Input
3
2 3 9
1 7 9
Output
No
Note
In the first example, the following could have happened during the night: one of the jury members moved one stone from the second pile to the first pile, and the other jury member moved one stone from the fourth pile to the third pile.
In the second example, the jury took stones from the second and fourth piles.
It can be proved that it is impossible for the jury members to move and took stones to convert the first array into the second array. | import java.util.*;
import java.io.*;
public class C{
public static void main(String[] args) {
MyScanner scan = new MyScanner();
PrintWriter pw = new PrintWriter(System.out);
int n = scan.nextInt();
long sum1 = 0,sum2 = 0;
for(int i = 0;i < n;i++)
sum1+=scan.nextInt();
for(int i = 0;i < n;i++)
sum2+=scan.nextInt();
if(sum2 <= sum1)
System.out.println("Yes");
else
System.out.println("No");
pw.close();
}
}
//-------------------------------------------------------------------------------------------------------
class MyScanner {
BufferedReader br;
StringTokenizer st;
public MyScanner() {
br = new BufferedReader(new InputStreamReader(System.in));
}
public int mod(long x) {
// TODO Auto-generated method stub
return (int) x % 1000000007;
}
public int mod(int x) {
return x % 1000000007;
}
boolean hasNext() {
if (st.hasMoreElements())
return true;
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
return st.hasMoreTokens();
}
String next() {
while (st == null || !st.hasMoreElements()) {
try {
st = new StringTokenizer(br.readLine());
} catch (Exception e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
String nextLine() {
String str = "";
try {
str = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return str;
}
}
| 4JAVA
| {
"input": [
"5\n1 2 3 4 5\n2 1 4 3 5\n",
"5\n1 1 1 1 1\n1 0 1 0 1\n",
"3\n2 3 9\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1000 1000\n",
"5\n3 3 3 3 3\n2 2 2 2 2\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 1\n",
"3\n10 10 1\n0 0 2\n",
"10\n436 442 197 740 550 361 317 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 0 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 1\n1 1 1 1 1\n",
"1\n0\n0\n",
"2\n353 313\n344 322\n",
"1\n300\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 646 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000\n",
"6\n3 4 2 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 0 0\n",
"2\n500 500\n1 1\n",
"4\n936 342 19 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 1 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 407 724 117 268 741 918\n",
"3\n3 3 3\n1 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 1 1\n",
"1\n11\n9\n",
"1\n100\n0\n",
"1\n10\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 4\n",
"5\n417 666 978 553 271\n488 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n5 5\n1 1\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n7\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 1 1\n",
"5\n2 3 4 5 1\n1 1 3 4 5\n",
"2\n3 3\n2 2\n",
"8\n5 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 4 5\n",
"2\n10 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 9 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 39 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n1\n",
"1\n2\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n2 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 823 955 599 575 312 547 784 645\n",
"5\n4 5 3 6 7\n1 1 4 4 5\n",
"3\n1000 1000 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 946 832 454 581\n",
"1\n50\n1\n",
"3\n1000 1000 1000\n0 0 0\n",
"1\n633\n633\n",
"1\n3\n2\n",
"5\n1 2 3 4 5\n0 0 0 0 0\n",
"2\n5 3\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 1 1\n",
"1\n100\n1\n",
"1\n1\n1\n",
"1\n1000\n1000\n",
"2\n353 313\n327 470\n",
"4\n936 342 19 398\n807 250 199 439\n",
"10\n436 442 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n1\n5\n",
"3\n2 4 2\n4 3 0\n",
"20\n82 292 379 893 300 854 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1000 1000\n1000 1000\n",
"3\n3 4 4\n3 5 4\n",
"3\n2 4 5\n1 2 3\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 320 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 112 940 73 707 296 472 86\n",
"3\n835 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n10\n1\n",
"4\n1 1 1 1\n0 0 0 3\n",
"1\n1000\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 296 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 638 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n609\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"4\n1000 1000 1000 1000\n1000 1000 1100 1000\n",
"5\n3 3 3 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 459 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n4 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 0\n",
"10\n436 442 197 740 550 361 212 473 843 982\n788 683 32 402 305 396 823 206 739 967\n",
"5\n2 3 4 5 6\n0 0 0 1 19\n",
"40\n361 372 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 1261 557 291 128 801 9 0 318\n364 689 60 773 340 571 627 932 581 856 131 153 406 475 217 716 433 519 417 552 919 53 923 605 319 359 516 121 207 180 373 343 905 641 477 416 927 207 160 245\n",
"5\n2 3 4 5 0\n1 1 1 1 1\n",
"1\n0\n1\n",
"2\n403 313\n344 322\n",
"1\n584\n1\n",
"50\n620 222 703 953 303 333 371 125 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n464 128 878 999 197 358 447 191 530 218 63 443 630 587 836 232 659 117 787 254 667 964 498 845 252 179 452 390 455 16 686 522 236 945 498 635 445 225 7 38 553 946 563 457 102 942 130 310 941 312\n",
"5\n1000 1000 1000 1000 1000\n1100 1000 1000 1000 1000\n",
"6\n3 4 3 5 6 3\n2 3 2 5 6 3\n",
"4\n1 1 1 1\n0 0 1 0\n",
"2\n12 500\n1 1\n",
"4\n936 342 6 398\n247 874 451 768\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n5 5 5\n1 0 1\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n460 389 541 164 324 52 246 107 826 864 693 132 10 697 429 434 99 950 164 85 972 157 327 337 592 241 350 962 130 673 967 373 657 923 456 347 394 76 743 91 724 117 268 741 918\n",
"3\n3 3 3\n2 0 0\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 448 406 288 764 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n717 5 441 833 869 107 620 329 877 536 753 593 610 811 360 42 46 996 635 96 301 565 190 99 570 168 528 355 830 392 356 106 211 405 607\n",
"3\n3 4 5\n1 0 1\n",
"1\n11\n6\n",
"1\n100\n-1\n",
"1\n0\n5\n",
"5\n2 3 4 5 6\n0 0 0 0 0\n",
"5\n417 666 978 553 271\n216 431 625 503 978\n",
"35\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 0000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"2\n4 5\n1 1\n",
"40\n361 427 139 808 561 460 421 961 727 719 130 235 320 470 432 759 317 886 624 666 917 133 736 710 462 424 541 118 228 216 612 339 800 557 291 128 801 9 0 318\n29 469 909 315 333 412 777 490 492 431 908 412 187 829 453 595 896 817 755 914 34 890 583 691 544 969 733 132 802 170 67 68 370 146 856 184 275 785 928 798\n",
"40\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1100 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n2\n3\n",
"30\n722 523 950 656 431 347 463 795 893 348 104 893 140 65 419 36 627 333 972 346 230 422 337 893 896 442 835 56 846 986\n429 148 890 854 546 680 776 265 551 465 387 823 996 845 374 867 411 742 447 267 711 989 501 694 456 451 192 529 215 709\n",
"3\n3 3 3\n1 0 1\n",
"5\n2 3 4 5 1\n1 1 3 4 0\n",
"2\n3 3\n2 4\n",
"8\n0 5 0 0 0 0 0 0\n1 0 0 0 0 0 0 0\n",
"15\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n1 2 3 4 6\n1 2 3 8 5\n",
"2\n16 1\n1 9\n",
"30\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"5\n9 9 6 9 9\n10 9 9 9 1\n",
"30\n722 523 950 656 431 347 463 795 893 348 208 893 140 65 419 36 627 275 972 346 230 422 337 893 896 442 835 56 846 986\n914 569 671 995 728 188 135 588 943 433 368 615 218 38 810 484 468 128 785 149 398 587 174 881 875 477 737 181 752 821\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n56 62 740 846 938 851 459 538 617 664 268 981 315 2 23 76 974 417 786 816 207 227 870 385 958\n",
"1\n6\n2\n",
"1\n2\n0\n",
"50\n620 222 703 953 303 333 371 107 554 88 60 189 873 644 817 100 760 64 887 605 611 845 762 916 21 26 254 553 602 66 796 531 329 888 274 584 215 135 69 403 680 734 440 406 53 958 135 230 918 206\n494 447 642 337 839 128 971 105 915 739 803 8 848 253 554 186 338 656 238 106 89 13 622 777 663 669 360 451 461 639 403 255 570 648 996 618 55 409 733 230 533 226 774 559 161 184 933 308 554 161\n",
"3\n4 1 5\n1 2 4\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n346 342 969 741 762 123 89 1089 955 599 575 312 547 784 645\n",
"5\n4 10 3 6 7\n1 1 4 4 5\n",
"3\n1000 1001 1000\n1000 1000 1000\n",
"5\n417 666 978 553 271\n72 876 832 454 581\n",
"1\n99\n1\n",
"3\n1000 1000 1000\n0 0 1\n",
"1\n633\n339\n",
"1\n5\n2\n",
"5\n1 4 3 4 5\n0 0 0 0 0\n",
"2\n5 1\n2 4\n",
"5\n5 5 5 5 5\n1 1 1 0 1\n",
"1\n101\n1\n",
"1\n1\n0\n",
"1\n1010\n1000\n",
"2\n672 313\n327 470\n",
"4\n936 342 19 398\n238 250 199 439\n",
"10\n436 730 197 740 550 361 317 473 843 982\n356 826 789 479 641 974 106 221 57 858\n",
"1\n2\n5\n",
"3\n2 4 2\n6 3 0\n",
"20\n82 292 379 893 300 854 895 638 70 971 278 168 580 272 653 315 176 773 709 789\n370 433 505 670 178 892 948 864 252 906 45 275 891 185 432 12 43 270 951 953\n",
"2\n1010 1000\n1000 1000\n",
"3\n3 4 4\n3 4 4\n",
"3\n2 4 5\n1 2 5\n",
"45\n246 523 714 431 266 139 591 246 845 818 805 198 70 620 166 478 87 849 415 228 957 59 190 332 632 14 451 857 221 638 837 222 970 643 19 172 39 185 903 342 750 265 241 968 876\n918 332 978 856 517 621 81 62 150 482 834 649 860 259 394 937 647 0 400 783 574 713 355 221 543 389 937 824 53 361 824 454 217 180 840 407 160 417 373 737 49 476 100 59 886\n",
"15\n702 593 763 982 263 48 487 759 961 80 642 169 778 621 764\n932 885 184 230 411 644 296 351 47 940 73 707 296 472 86\n",
"3\n183 638 673\n516 880 750\n",
"10\n1000 1000 1000 1000 1000 1000 0000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n20\n1\n",
"4\n1 1 1 0\n0 0 0 3\n",
"1\n1001\n0\n",
"45\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"25\n349 443 953 126 394 160 63 924 795 450 572 513 338 33 768 34 955 737 874 731 329 16 377 318 125\n75 157 997 211 919 7 357 928 891 829 119 509 184 29 769 262 973 936 100 588 115 536 398 163 186\n",
"25\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"3\n835 799 673\n624 232 266\n",
"35\n607 674 142 278 135 34 13 80 629 448 875 856 518 446 161 376 406 288 1416 289 643 347 164 515 73 39 126 413 848 788 653 651 67 320 655\n452 596 228 56 48 35 155 250 793 729 630 495 803 209 156 423 427 270 925 479 635 639 50 489 27 198 324 241 564 898 178 713 131 337 738\n",
"20\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1001 1000 1000 1000\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n",
"1\n633\n148\n",
"50\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1010 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
"5\n1 2 3 4 5\n2 1 4 3 7\n",
"5\n1 1 1 1 1\n1 0 2 0 1\n",
"3\n2 3 0\n1 7 9\n",
"4\n1000 1000 1000 1000\n1000 1000 1101 1000\n",
"5\n3 3 0 3 3\n2 2 0 2 2\n",
"20\n82 292 379 893 300 654 895 638 58 971 278 168 580 272 653 315 176 773 709 789\n298 710 311 695 328 512 510 994 472 515 634 568 368 913 182 223 361 132 92 620\n",
"3\n3 5 6\n3 2 0\n",
"3\n10 10 1\n0 0 -1\n"
],
"output": [
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n"
]
} | 2CODEFORCES
|
1037_G. A Game on Strings_37842 | Alice and Bob are playing a game on strings.
Initially, they have some string t. In one move the first player selects the character c present in t and erases all it's occurrences in t, thus splitting t into many smaller strings. The game then goes independently with each of the strings — to make the move player selects one of the strings and one of the characters there, deletes all occurrences and adds the remaining string back to the game.
Alice always starts the game, and then Alice and Bob take turns making moves. The player who is unable to make a move (because there is no string left) loses.
Alice and Bob used to always start with a string s, but recently they found out that this became too boring. Now before each game they choose two integers l and r such that 1 ≤ l ≤ r ≤ |s| and play the game with the string s_{l} s_{l+1} s_{l+2} … s_{r} instead.
Given the string s and integers l, r for each game. Find who is going to win each game assuming they are smart and are playing optimally.
Input
The first line contains the string s (1 ≤ |s| ≤ 10^5) consisting of lowercase English letters. This is the string Alice and Bob used to start with.
The second line contains a single integer m (1 ≤ m ≤ 10^5) — the number of games to analyze.
Each of the next m lines contains two integers l and r (1 ≤ l ≤ r ≤ |s|) — the bounds of the starting substring in the string s.
Output
For each game output a single line containing the name of the winner — "Alice" or "Bob" respectively.
Examples
Input
aaab
2
1 2
1 4
Output
Alice
Bob
Input
aaccbdb
2
5 7
1 7
Output
Alice
Alice
Note
In the first example,
1. In the first game the string "aa" is selected. Alice deletes character 'a' and Bob is unable to move.
2. In the second game the string "aaab" is selected. No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move.
In the second example Alice wins both game "bdb" and "aaccbdb".
To win game "bdb" Alice can erase symbol 'd', the game then goes independently on strings "b" and "b". Bob deletes one of this strings and the Alice deletes the other one and Bob is unable to move.
To win game "aaccbdb" Alice can erase symbol 'd', the game then goes independently on strings "aaccb" and "b". It is possible to show, that no matter what are the moves, the remaining game can only finish in exactly 4 moves, so the Bob will be unable to move after that. | #include <bits/stdc++.h>
using namespace std;
struct pat {
int x, y;
pat(int x = 0, int y = 0) : x(x), y(y) {}
bool operator<(const pat &p) const { return x == p.x ? y < p.y : x < p.x; }
};
namespace RKK {
const int N = 100011;
int n, qaq;
char str[N];
int s[N];
int nxt[N][26], pre[N][26];
int f[N][26], g[N];
int mp[27];
int dfs(int l, int r, int c, int tp) {
if (l > r) return 0;
if (~mp[c]) return mp[c];
int mex[50] = {0};
for (int i = 0, pl, pr; i < 26; i++) {
pl = nxt[l - 1][i], pr = pre[r + 1][i];
if (pr < l) continue;
int t = g[pl] ^ g[pr];
t ^= tp ? f[pl - 1][c] : dfs(l, pl - 1, i, 0);
t ^= tp ? dfs(pr + 1, r, i, 1) : f[r][i];
mex[t] = 1;
}
for (int i = 0; i < 50; i++)
if (!mex[i]) return mp[c] = i;
return -1;
}
int main() {
scanf("%s", str + 1), n = strlen(str + 1);
for (int i = 1; i <= n; i++) s[i] = str[i] - 'a';
for (int i = 0; i < 26; i++) pre[1][i] = 0;
for (int i = 2; i <= n + 1; i++)
memcpy(pre[i], pre[i - 1], 26 * 4), pre[i][s[i - 1]] = i - 1;
for (int i = 0; i < 26; i++) nxt[n][i] = n + 1;
for (int i = n - 1; ~i; i--)
memcpy(nxt[i], nxt[i + 1], 26 * 4), nxt[i][s[i + 1]] = i + 1;
for (int i = 1; i <= n; i++) {
g[i] = g[pre[i][s[i]]] ^ f[i - 1][s[i]];
memset(mp, 0xff, sizeof(mp));
for (int j = 0; j < 26; j++) f[i][j] = dfs(pre[i + 1][j] + 1, i, j, 1);
}
scanf("%d", &qaq);
for (int rkk = 1, l, r; rkk <= qaq; rkk++) {
scanf("%d%d", &l, &r);
memset(mp, 0xff, sizeof(mp));
puts(dfs(l, r, 26, 0) ? "Alice" : "Bob");
}
return 0;
}
} // namespace RKK
int main() { return RKK::main(); }
| 2C++
| {
"input": [
"aaccbdb\n2\n5 7\n1 7\n",
"aaab\n2\n1 2\n1 4\n",
"mrxphlhblv\n10\n3 5\n5 5\n2 9\n3 7\n5 9\n6 10\n7 9\n1 6\n7 8\n9 10\n",
"nr\n1\n1 2\n",
"eulmtquiue\n10\n6 9\n4 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n4 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n5 9\n6 10\n7 9\n1 6\n7 8\n9 10\n",
"eulmtquiue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n4 6\n",
"aaab\n2\n1 2\n1 2\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n5 9\n4 10\n7 9\n1 6\n7 8\n9 10\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n4 6\n",
"aaccbdb\n1\n5 7\n1 7\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n6 10\n7 9\n1 6\n7 8\n9 10\n",
"abaa\n2\n1 2\n1 2\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n3 6\n",
"abaa\n2\n1 1\n1 2\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 9\n3 7\n2 9\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 9\n1 3\n3 7\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"eulmtquiue\n10\n6 9\n4 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n3 6\n",
"eulmtquiue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n2 6\n1 6\n4 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n6 10\n7 8\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 9\n3 7\n2 9\n3 10\n7 9\n1 8\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 2\n3 10\n7 9\n1 6\n7 8\n5 10\n",
"mrxphlhblv\n10\n3 9\n5 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n3 10\n",
"eulmtquiue\n10\n6 9\n4 8\n7 7\n1 9\n2 3\n1 4\n4 9\n1 6\n1 6\n3 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n3 8\n7 9\n1 3\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 9\n3 7\n2 9\n3 6\n7 9\n1 8\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n6 7\n2 2\n3 10\n7 9\n1 6\n7 8\n5 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n2 4\n2 9\n1 6\n1 6\n3 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 9\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 2\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n3 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"nr\n1\n2 2\n",
"aaab\n2\n1 2\n2 4\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n5 9\n6 10\n9 9\n1 6\n7 8\n9 10\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n2 6\n1 6\n3 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n3 8\n7 9\n1 6\n7 8\n9 10\n",
"abaa\n2\n1 1\n1 1\n",
"mrxphlhblv\n10\n3 9\n1 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"baab\n2\n1 2\n2 4\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 9\n1 9\n2 3\n1 4\n2 9\n2 6\n1 6\n3 6\n"
],
"output": [
"Alice\nAlice\n",
"Alice\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\nBob\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\nBob\nAlice\n",
"Alice\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nBob\nBob\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nAlice\n",
"Alice\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n",
"Alice\nBob\n",
"Bob\nAlice\nBob\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\nBob\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nAlice\nBob\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\n",
"Bob\nAlice\nBob\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nAlice\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nAlice\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\n",
"Bob\nAlice\nBob\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\n",
"Bob\nAlice\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\n",
"Alice\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\nAlice\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n"
]
} | 2CODEFORCES
|
1037_G. A Game on Strings_37843 | Alice and Bob are playing a game on strings.
Initially, they have some string t. In one move the first player selects the character c present in t and erases all it's occurrences in t, thus splitting t into many smaller strings. The game then goes independently with each of the strings — to make the move player selects one of the strings and one of the characters there, deletes all occurrences and adds the remaining string back to the game.
Alice always starts the game, and then Alice and Bob take turns making moves. The player who is unable to make a move (because there is no string left) loses.
Alice and Bob used to always start with a string s, but recently they found out that this became too boring. Now before each game they choose two integers l and r such that 1 ≤ l ≤ r ≤ |s| and play the game with the string s_{l} s_{l+1} s_{l+2} … s_{r} instead.
Given the string s and integers l, r for each game. Find who is going to win each game assuming they are smart and are playing optimally.
Input
The first line contains the string s (1 ≤ |s| ≤ 10^5) consisting of lowercase English letters. This is the string Alice and Bob used to start with.
The second line contains a single integer m (1 ≤ m ≤ 10^5) — the number of games to analyze.
Each of the next m lines contains two integers l and r (1 ≤ l ≤ r ≤ |s|) — the bounds of the starting substring in the string s.
Output
For each game output a single line containing the name of the winner — "Alice" or "Bob" respectively.
Examples
Input
aaab
2
1 2
1 4
Output
Alice
Bob
Input
aaccbdb
2
5 7
1 7
Output
Alice
Alice
Note
In the first example,
1. In the first game the string "aa" is selected. Alice deletes character 'a' and Bob is unable to move.
2. In the second game the string "aaab" is selected. No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move.
In the second example Alice wins both game "bdb" and "aaccbdb".
To win game "bdb" Alice can erase symbol 'd', the game then goes independently on strings "b" and "b". Bob deletes one of this strings and the Alice deletes the other one and Bob is unable to move.
To win game "aaccbdb" Alice can erase symbol 'd', the game then goes independently on strings "aaccb" and "b". It is possible to show, that no matter what are the moves, the remaining game can only finish in exactly 4 moves, so the Bob will be unable to move after that. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.util.Arrays;
import java.io.IOException;
import java.io.UncheckedIOException;
import java.io.Closeable;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) throws Exception {
Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 27);
thread.start();
thread.join();
}
static class TaskAdapter implements Runnable {
@Override
public void run() {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
FastInput in = new FastInput(inputStream);
FastOutput out = new FastOutput(outputStream);
GAGameOnStrings solver = new GAGameOnStrings();
solver.solve(1, in, out);
out.close();
}
}
static class GAGameOnStrings {
char[] s;
int n;
int[] prefixSum;
int[][] prefix;
int[][] suffix;
int[][] nextIndex;
int[][] lastIndex;
int charset = 'z' - 'a' + 1;
int[] mex = new int[32];
public void solve(int testNumber, FastInput in, FastOutput out) {
s = new char[(int) 1e5];
n = in.readString(s, 0);
for (int i = 0; i < n; i++) {
s[i] -= 'a';
}
prefixSum = new int[n];
prefix = new int[charset][n];
suffix = new int[charset][n];
nextIndex = new int[charset][n];
lastIndex = new int[charset][n];
SequenceUtils.deepFill(prefixSum, -1);
SequenceUtils.deepFill(prefix, -1);
SequenceUtils.deepFill(suffix, -1);
SequenceUtils.deepFill(nextIndex, n);
SequenceUtils.deepFill(lastIndex, -1);
for (int i = 0; i < n; i++) {
if (i > 0) {
for (int j = 0; j < charset; j++) {
lastIndex[j][i] = lastIndex[j][i - 1];
}
}
lastIndex[s[i]][i] = i;
}
for (int i = n - 1; i >= 0; i--) {
if (i < n - 1) {
for (int j = 0; j < charset; j++) {
nextIndex[j][i] = nextIndex[j][i + 1];
}
}
nextIndex[s[i]][i] = i;
}
for (int i = 0; i < n; i++) {
prefixSum(i);
}
int m = in.readInt();
for (int i = 0; i < m; i++) {
int l = in.readInt() - 1;
int r = in.readInt() - 1;
int sg = queryInterval(l, r);
out.println(sg == 0 ? "Bob" : "Alice");
}
}
public int queryInterval(int l, int r) {
if (l > r) {
return 0;
}
for (int i = 0; i < charset; i++) {
int begin = nextIndex[i][l];
int end = lastIndex[i][r];
if (begin > end) {
continue;
}
int xor = prefixSum(begin, end);
if (begin > l) {
xor ^= suffix(i, l);
}
if (end < r) {
xor ^= prefix(i, r);
}
}
Arrays.fill(mex, 0);
for (int i = 0; i < charset; i++) {
int begin = nextIndex[i][l];
int end = lastIndex[i][r];
if (begin > end) {
continue;
}
int xor = prefixSum(begin, end);
if (begin > l) {
xor ^= suffix(i, l);
}
if (end < r) {
xor ^= prefix(i, r);
}
mex[xor] = 1;
}
for (int i = 0; ; i++) {
if (mex[i] == 0) {
return i;
}
}
}
public int prefix(int c, int i) {
if (prefix[c][i] == -1) {
prefix[c][i] = queryInterval(lastIndex[c][i] + 1, i);
}
return prefix[c][i];
}
public int suffix(int c, int i) {
if (suffix[c][i] == -1) {
suffix[c][i] = queryInterval(i, nextIndex[c][i] - 1);
}
return suffix[c][i];
}
public int prefixSum(int l, int r) {
if (l >= r) {
return 0;
}
return prefixSum(l) ^ prefixSum(r);
}
public int strictlyLastIndex(int i) {
return i == 0 ? -1 : lastIndex[s[i]][i - 1];
}
public int prefixSum(int i) {
if (prefixSum[i] == -1) {
int last = strictlyLastIndex(i);
if (last == -1) {
prefixSum[i] = 0;
} else {
prefixSum[i] = prefixSum(last) ^
queryInterval(last + 1, i - 1);
}
}
return prefixSum[i];
}
}
static class FastInput {
private final InputStream is;
private byte[] buf = new byte[1 << 13];
private int bufLen;
private int bufOffset;
private int next;
public FastInput(InputStream is) {
this.is = is;
}
private int read() {
while (bufLen == bufOffset) {
bufOffset = 0;
try {
bufLen = is.read(buf);
} catch (IOException e) {
bufLen = -1;
}
if (bufLen == -1) {
return -1;
}
}
return buf[bufOffset++];
}
public void skipBlank() {
while (next >= 0 && next <= 32) {
next = read();
}
}
public int readInt() {
int sign = 1;
skipBlank();
if (next == '+' || next == '-') {
sign = next == '+' ? 1 : -1;
next = read();
}
int val = 0;
if (sign == 1) {
while (next >= '0' && next <= '9') {
val = val * 10 + next - '0';
next = read();
}
} else {
while (next >= '0' && next <= '9') {
val = val * 10 - next + '0';
next = read();
}
}
return val;
}
public int readString(char[] data, int offset) {
skipBlank();
int originalOffset = offset;
while (next > 32) {
data[offset++] = (char) next;
next = read();
}
return offset - originalOffset;
}
}
static class SequenceUtils {
public static void deepFill(Object array, int val) {
if (!array.getClass().isArray()) {
throw new IllegalArgumentException();
}
if (array instanceof int[]) {
int[] intArray = (int[]) array;
Arrays.fill(intArray, val);
} else {
Object[] objArray = (Object[]) array;
for (Object obj : objArray) {
deepFill(obj, val);
}
}
}
}
static class FastOutput implements AutoCloseable, Closeable {
private StringBuilder cache = new StringBuilder(10 << 20);
private final Writer os;
public FastOutput(Writer os) {
this.os = os;
}
public FastOutput(OutputStream os) {
this(new OutputStreamWriter(os));
}
public FastOutput println(String c) {
cache.append(c);
println();
return this;
}
public FastOutput println() {
cache.append(System.lineSeparator());
return this;
}
public FastOutput flush() {
try {
os.append(cache);
os.flush();
cache.setLength(0);
} catch (IOException e) {
throw new UncheckedIOException(e);
}
return this;
}
public void close() {
flush();
try {
os.close();
} catch (IOException e) {
throw new UncheckedIOException(e);
}
}
public String toString() {
return cache.toString();
}
}
}
| 4JAVA
| {
"input": [
"aaccbdb\n2\n5 7\n1 7\n",
"aaab\n2\n1 2\n1 4\n",
"mrxphlhblv\n10\n3 5\n5 5\n2 9\n3 7\n5 9\n6 10\n7 9\n1 6\n7 8\n9 10\n",
"nr\n1\n1 2\n",
"eulmtquiue\n10\n6 9\n4 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n4 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n5 9\n6 10\n7 9\n1 6\n7 8\n9 10\n",
"eulmtquiue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n4 6\n",
"aaab\n2\n1 2\n1 2\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n5 9\n4 10\n7 9\n1 6\n7 8\n9 10\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n4 6\n",
"aaccbdb\n1\n5 7\n1 7\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n6 10\n7 9\n1 6\n7 8\n9 10\n",
"abaa\n2\n1 2\n1 2\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n3 6\n",
"abaa\n2\n1 1\n1 2\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 9\n3 7\n2 9\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 9\n1 3\n3 7\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"eulmtquiue\n10\n6 9\n4 8\n7 7\n1 9\n2 3\n1 4\n2 9\n1 6\n1 6\n3 6\n",
"eulmtquiue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n2 6\n1 6\n4 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n6 10\n7 8\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 9\n3 7\n2 9\n3 10\n7 9\n1 8\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 2\n3 10\n7 9\n1 6\n7 8\n5 10\n",
"mrxphlhblv\n10\n3 9\n5 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n3 10\n",
"eulmtquiue\n10\n6 9\n4 8\n7 7\n1 9\n2 3\n1 4\n4 9\n1 6\n1 6\n3 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n3 8\n7 9\n1 3\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 9\n3 7\n2 9\n3 6\n7 9\n1 8\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n6 7\n2 2\n3 10\n7 9\n1 6\n7 8\n5 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n2 4\n2 9\n1 6\n1 6\n3 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 9\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 2\n3 10\n7 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n5 5\n1 3\n3 7\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"mrxphlhblv\n10\n3 9\n3 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"nr\n1\n2 2\n",
"aaab\n2\n1 2\n2 4\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n5 9\n6 10\n9 9\n1 6\n7 8\n9 10\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 7\n1 9\n2 3\n1 4\n2 9\n2 6\n1 6\n3 6\n",
"mrxphlhblv\n10\n3 9\n5 5\n2 9\n3 7\n2 9\n3 8\n7 9\n1 6\n7 8\n9 10\n",
"abaa\n2\n1 1\n1 1\n",
"mrxphlhblv\n10\n3 9\n1 9\n1 3\n3 6\n2 2\n3 10\n4 9\n1 6\n7 8\n9 10\n",
"baab\n2\n1 2\n2 4\n",
"euiuqtmlue\n10\n6 9\n6 8\n7 9\n1 9\n2 3\n1 4\n2 9\n2 6\n1 6\n3 6\n"
],
"output": [
"Alice\nAlice\n",
"Alice\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\nBob\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\nBob\nAlice\n",
"Alice\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nBob\nBob\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nAlice\n",
"Alice\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n",
"Alice\nBob\n",
"Bob\nAlice\nBob\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\nBob\nBob\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nAlice\nBob\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\nBob\n",
"Bob\nAlice\nBob\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nAlice\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nAlice\n",
"Alice\nAlice\nAlice\nAlice\nBob\nBob\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\n",
"Bob\nAlice\nBob\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\n",
"Bob\nAlice\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nAlice\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\n",
"Alice\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n",
"Bob\nAlice\nAlice\nAlice\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Alice\nAlice\n",
"Bob\nBob\nAlice\nBob\nAlice\nAlice\nAlice\nBob\nBob\nBob\n",
"Bob\nBob\n",
"Bob\nAlice\nAlice\nAlice\nBob\nAlice\nBob\nAlice\nAlice\nBob\n"
]
} | 2CODEFORCES
|
1060_C. Maximum Subrectangle_37844 | You are given two arrays a and b of positive integers, with length n and m respectively.
Let c be an n × m matrix, where c_{i,j} = a_i ⋅ b_j.
You need to find a subrectangle of the matrix c such that the sum of its elements is at most x, and its area (the total number of elements) is the largest possible.
Formally, you need to find the largest number s such that it is possible to choose integers x_1, x_2, y_1, y_2 subject to 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, (x_2 - x_1 + 1) × (y_2 - y_1 + 1) = s, and $$$∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x.$$$
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2000).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2000).
The third line contains m integers b_1, b_2, …, b_m (1 ≤ b_i ≤ 2000).
The fourth line contains a single integer x (1 ≤ x ≤ 2 ⋅ 10^{9}).
Output
If it is possible to choose four integers x_1, x_2, y_1, y_2 such that 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, and ∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x, output the largest value of (x_2 - x_1 + 1) × (y_2 - y_1 + 1) among all such quadruplets, otherwise output 0.
Examples
Input
3 3
1 2 3
1 2 3
9
Output
4
Input
5 1
5 4 2 4 5
2
5
Output
1
Note
Matrix from the first sample and the chosen subrectangle (of blue color):
<image>
Matrix from the second sample and the chosen subrectangle (of blue color):
<image> | n,m=map(int,raw_input().split())
a=list(map(int,raw_input().split()))
b=list(map(int,raw_input().split()))
x=int(raw_input())
pref_a=[0]
for i in a:
pref_a.append(pref_a[-1]+i)
pref_b=[0]
for i in b:
pref_b.append(pref_b[-1]+i)
min_a=[float('inf')]*(n+1)
min_b=[float('inf')]*(m+1)
for i in range(1,n+1):
for j in range(i,n+1):
min_a[j-i+1]=min(min_a[j-i+1],pref_a[j]-pref_a[i-1])
for i in range(1,m+1):
for j in range(i,m+1):
min_b[j-i+1]=min(min_b[j-i+1],pref_b[j]-pref_b[i-1])
ans=0
for i in range(1,n+1):
for j in range(1,m+1):
if min_a[i]*min_b[j]<=x:
ans=max(ans,i*j)
print(ans) | 1Python2
| {
"input": [
"5 1\n5 4 2 4 5\n2\n5\n",
"3 3\n1 2 3\n1 2 3\n9\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n1\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n84465\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"235 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1\n1\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n13927495\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n36719\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n165947710\n",
"5 1\n416 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"5 1\n416 387 336 116 1081\n553\n193993787\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"1 5\n549\n1422 1870 569 844 1178\n340452749\n",
"5 1\n416 387 336 116 1081\n553\n463967\n",
"1 1\n2000\n2000\n2000000000\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n14737319\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n1422 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6085299\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 844 1178\n3229767\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n2\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n2142\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1605 592 1881\n165947710\n",
"5 1\n476 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 622 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n553\n516344\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 5\n549\n178 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n36719\n",
"1 1\n2000\n3155\n2000000000\n",
"1 10\n491\n980 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 10\n491\n980 1907 1241 336 383 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 5\n549\n1422 1870 569 289 1178\n3229767\n",
"5 1\n5 4 2 4 5\n2\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1139 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 2481 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 169\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1693\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n3431\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 1631 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n43550\n",
"5 1\n476 387 336 116 1081\n696\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 372 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 89 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n779\n516344\n",
"1 1\n2000\n3155\n1546566379\n",
"1 10\n491\n1514 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 394 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 80 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 2673 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n104 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 41 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 10\n726\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 757 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 304 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 265 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 289 1178\n2670384\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 560 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 2889 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 337 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 438 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"5 1\n5 4 2 4 5\n4\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 3362 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1438 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 2456 1627 1007\n45 104 2116 592 1881\n84465\n"
],
"output": [
"1",
"4",
"100\n",
"11",
"1\n",
"2",
"10\n",
"100\n",
"10\n",
"16",
"1",
"8",
"9",
"0\n",
"25\n",
"1",
"35",
"5\n",
"450",
"5\n",
"3",
"1\n",
"30",
"10\n",
"7",
"5",
"100\n",
"3",
"5",
"3",
"450",
"37",
"1305",
"5\n",
"50\n",
"30",
"39",
"37",
"100\n",
"11\n",
"0\n",
"2\n",
"10\n",
"16\n",
"6\n",
"9\n",
"25\n",
"1\n",
"35\n",
"450\n",
"3\n",
"7\n",
"4\n",
"5\n",
"36\n",
"1312\n",
"50\n",
"30\n",
"38\n",
"37\n",
"100\n",
"10\n",
"0\n",
"1\n",
"10\n",
"6\n",
"100\n",
"3\n",
"450\n",
"5\n",
"0\n",
"100\n",
"10\n",
"2\n",
"10\n",
"100\n",
"10\n",
"16\n",
"5\n",
"9\n",
"1\n",
"1\n",
"35\n",
"450\n",
"2\n",
"1\n",
"10\n",
"7\n",
"6\n",
"100\n",
"4\n",
"5\n",
"3\n",
"450\n",
"37\n",
"1312\n",
"4\n",
"50\n",
"30\n",
"38\n",
"38\n",
"0\n",
"100\n",
"10\n",
"2\n"
]
} | 2CODEFORCES
|
1060_C. Maximum Subrectangle_37845 | You are given two arrays a and b of positive integers, with length n and m respectively.
Let c be an n × m matrix, where c_{i,j} = a_i ⋅ b_j.
You need to find a subrectangle of the matrix c such that the sum of its elements is at most x, and its area (the total number of elements) is the largest possible.
Formally, you need to find the largest number s such that it is possible to choose integers x_1, x_2, y_1, y_2 subject to 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, (x_2 - x_1 + 1) × (y_2 - y_1 + 1) = s, and $$$∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x.$$$
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2000).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2000).
The third line contains m integers b_1, b_2, …, b_m (1 ≤ b_i ≤ 2000).
The fourth line contains a single integer x (1 ≤ x ≤ 2 ⋅ 10^{9}).
Output
If it is possible to choose four integers x_1, x_2, y_1, y_2 such that 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, and ∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x, output the largest value of (x_2 - x_1 + 1) × (y_2 - y_1 + 1) among all such quadruplets, otherwise output 0.
Examples
Input
3 3
1 2 3
1 2 3
9
Output
4
Input
5 1
5 4 2 4 5
2
5
Output
1
Note
Matrix from the first sample and the chosen subrectangle (of blue color):
<image>
Matrix from the second sample and the chosen subrectangle (of blue color):
<image> | #include <bits/stdc++.h>
using ll = long long;
const int maxn = 2018;
const ll inf = 10000000000000;
int main(int argc, char *argv[]) {
std::ios::sync_with_stdio(false);
std::cin.tie(0);
ll n, m, x, a[maxn], b[maxn], pa[maxn], pb[maxn], ma[maxn], mb[maxn];
std::cin >> n >> m;
pa[0] = pb[0] = 0;
for (int i = 1; i <= n; i++) {
std::cin >> a[i];
pa[i] = pa[i - 1] + a[i];
}
for (int i = 1; i <= m; i++) {
std::cin >> b[i];
pb[i] = pb[i - 1] + b[i];
}
std::cin >> x;
std::fill(ma, ma + maxn, inf);
std::fill(mb, mb + maxn, inf);
for (int i = 0; i < n; i++) {
for (int j = i + 1; j <= n; j++) {
ma[j - i] = std::min(pa[j] - pa[i], ma[j - i]);
}
}
for (int i = 0; i < m; i++) {
for (int j = i + 1; j <= m; j++) {
mb[j - i] = std::min(pb[j] - pb[i], mb[j - i]);
}
}
int ans = 0;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
if (ma[i] * mb[j] <= x) {
ans = std::max(i * j, ans);
}
}
}
std::cout << ans << '\n';
}
| 2C++
| {
"input": [
"5 1\n5 4 2 4 5\n2\n5\n",
"3 3\n1 2 3\n1 2 3\n9\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n1\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n84465\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"235 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1\n1\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n13927495\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n36719\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n165947710\n",
"5 1\n416 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"5 1\n416 387 336 116 1081\n553\n193993787\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"1 5\n549\n1422 1870 569 844 1178\n340452749\n",
"5 1\n416 387 336 116 1081\n553\n463967\n",
"1 1\n2000\n2000\n2000000000\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n14737319\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n1422 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6085299\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 844 1178\n3229767\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n2\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n2142\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1605 592 1881\n165947710\n",
"5 1\n476 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 622 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n553\n516344\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 5\n549\n178 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n36719\n",
"1 1\n2000\n3155\n2000000000\n",
"1 10\n491\n980 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 10\n491\n980 1907 1241 336 383 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 5\n549\n1422 1870 569 289 1178\n3229767\n",
"5 1\n5 4 2 4 5\n2\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1139 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 2481 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 169\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1693\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n3431\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 1631 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n43550\n",
"5 1\n476 387 336 116 1081\n696\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 372 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 89 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n779\n516344\n",
"1 1\n2000\n3155\n1546566379\n",
"1 10\n491\n1514 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 394 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 80 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 2673 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n104 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 41 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 10\n726\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 757 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 304 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 265 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 289 1178\n2670384\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 560 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 2889 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 337 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 438 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"5 1\n5 4 2 4 5\n4\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 3362 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1438 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 2456 1627 1007\n45 104 2116 592 1881\n84465\n"
],
"output": [
"1",
"4",
"100\n",
"11",
"1\n",
"2",
"10\n",
"100\n",
"10\n",
"16",
"1",
"8",
"9",
"0\n",
"25\n",
"1",
"35",
"5\n",
"450",
"5\n",
"3",
"1\n",
"30",
"10\n",
"7",
"5",
"100\n",
"3",
"5",
"3",
"450",
"37",
"1305",
"5\n",
"50\n",
"30",
"39",
"37",
"100\n",
"11\n",
"0\n",
"2\n",
"10\n",
"16\n",
"6\n",
"9\n",
"25\n",
"1\n",
"35\n",
"450\n",
"3\n",
"7\n",
"4\n",
"5\n",
"36\n",
"1312\n",
"50\n",
"30\n",
"38\n",
"37\n",
"100\n",
"10\n",
"0\n",
"1\n",
"10\n",
"6\n",
"100\n",
"3\n",
"450\n",
"5\n",
"0\n",
"100\n",
"10\n",
"2\n",
"10\n",
"100\n",
"10\n",
"16\n",
"5\n",
"9\n",
"1\n",
"1\n",
"35\n",
"450\n",
"2\n",
"1\n",
"10\n",
"7\n",
"6\n",
"100\n",
"4\n",
"5\n",
"3\n",
"450\n",
"37\n",
"1312\n",
"4\n",
"50\n",
"30\n",
"38\n",
"38\n",
"0\n",
"100\n",
"10\n",
"2\n"
]
} | 2CODEFORCES
|
1060_C. Maximum Subrectangle_37846 | You are given two arrays a and b of positive integers, with length n and m respectively.
Let c be an n × m matrix, where c_{i,j} = a_i ⋅ b_j.
You need to find a subrectangle of the matrix c such that the sum of its elements is at most x, and its area (the total number of elements) is the largest possible.
Formally, you need to find the largest number s such that it is possible to choose integers x_1, x_2, y_1, y_2 subject to 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, (x_2 - x_1 + 1) × (y_2 - y_1 + 1) = s, and $$$∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x.$$$
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2000).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2000).
The third line contains m integers b_1, b_2, …, b_m (1 ≤ b_i ≤ 2000).
The fourth line contains a single integer x (1 ≤ x ≤ 2 ⋅ 10^{9}).
Output
If it is possible to choose four integers x_1, x_2, y_1, y_2 such that 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, and ∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x, output the largest value of (x_2 - x_1 + 1) × (y_2 - y_1 + 1) among all such quadruplets, otherwise output 0.
Examples
Input
3 3
1 2 3
1 2 3
9
Output
4
Input
5 1
5 4 2 4 5
2
5
Output
1
Note
Matrix from the first sample and the chosen subrectangle (of blue color):
<image>
Matrix from the second sample and the chosen subrectangle (of blue color):
<image> | n,m=[int(x) for x in input().split()]
a=[int(x) for x in input().split()]
b=[int(x) for x in input().split()]
x=int(input())
csa=[0]*(n+1)
csb=[0]*(m+1)
ans=0
for i in range(1,n+1):
csa[i]=(csa[i-1]+a[i-1])
for i in range(1,m+1):
csb[i]=(csb[i-1]+b[i-1])
misubsa=[0]*(n+1)
misubsb=[0]*(m+1)
for i in range(1,n+1):
t=9999999999999999999999
for j in range(n-i+1):
t=min(t,csa[i+j]-csa[j])
misubsa[i]=t
for i in range(1,m+1):
t=9999999999999999999999
for j in range(m-i+1):
t=min(t,csb[i+j]-csb[j])
misubsb[i]=t
for i in range(1,n+1):
for j in range(1,m+1):
if misubsa[i]*misubsb[j]<=x:
ans=max(ans,i*j)
print(ans) | 3Python3
| {
"input": [
"5 1\n5 4 2 4 5\n2\n5\n",
"3 3\n1 2 3\n1 2 3\n9\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n1\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n84465\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"235 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1\n1\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n13927495\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n36719\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n165947710\n",
"5 1\n416 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"5 1\n416 387 336 116 1081\n553\n193993787\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"1 5\n549\n1422 1870 569 844 1178\n340452749\n",
"5 1\n416 387 336 116 1081\n553\n463967\n",
"1 1\n2000\n2000\n2000000000\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n14737319\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n1422 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6085299\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 844 1178\n3229767\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n2\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n2142\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1605 592 1881\n165947710\n",
"5 1\n476 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 622 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n553\n516344\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 5\n549\n178 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n36719\n",
"1 1\n2000\n3155\n2000000000\n",
"1 10\n491\n980 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 10\n491\n980 1907 1241 336 383 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 5\n549\n1422 1870 569 289 1178\n3229767\n",
"5 1\n5 4 2 4 5\n2\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1139 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 2481 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 169\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1693\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n3431\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 1631 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n43550\n",
"5 1\n476 387 336 116 1081\n696\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 372 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 89 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n779\n516344\n",
"1 1\n2000\n3155\n1546566379\n",
"1 10\n491\n1514 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 394 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 80 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 2673 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n104 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 41 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 10\n726\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 757 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 304 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 265 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 289 1178\n2670384\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 560 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 2889 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 337 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 438 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"5 1\n5 4 2 4 5\n4\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 3362 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1438 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 2456 1627 1007\n45 104 2116 592 1881\n84465\n"
],
"output": [
"1",
"4",
"100\n",
"11",
"1\n",
"2",
"10\n",
"100\n",
"10\n",
"16",
"1",
"8",
"9",
"0\n",
"25\n",
"1",
"35",
"5\n",
"450",
"5\n",
"3",
"1\n",
"30",
"10\n",
"7",
"5",
"100\n",
"3",
"5",
"3",
"450",
"37",
"1305",
"5\n",
"50\n",
"30",
"39",
"37",
"100\n",
"11\n",
"0\n",
"2\n",
"10\n",
"16\n",
"6\n",
"9\n",
"25\n",
"1\n",
"35\n",
"450\n",
"3\n",
"7\n",
"4\n",
"5\n",
"36\n",
"1312\n",
"50\n",
"30\n",
"38\n",
"37\n",
"100\n",
"10\n",
"0\n",
"1\n",
"10\n",
"6\n",
"100\n",
"3\n",
"450\n",
"5\n",
"0\n",
"100\n",
"10\n",
"2\n",
"10\n",
"100\n",
"10\n",
"16\n",
"5\n",
"9\n",
"1\n",
"1\n",
"35\n",
"450\n",
"2\n",
"1\n",
"10\n",
"7\n",
"6\n",
"100\n",
"4\n",
"5\n",
"3\n",
"450\n",
"37\n",
"1312\n",
"4\n",
"50\n",
"30\n",
"38\n",
"38\n",
"0\n",
"100\n",
"10\n",
"2\n"
]
} | 2CODEFORCES
|
1060_C. Maximum Subrectangle_37847 | You are given two arrays a and b of positive integers, with length n and m respectively.
Let c be an n × m matrix, where c_{i,j} = a_i ⋅ b_j.
You need to find a subrectangle of the matrix c such that the sum of its elements is at most x, and its area (the total number of elements) is the largest possible.
Formally, you need to find the largest number s such that it is possible to choose integers x_1, x_2, y_1, y_2 subject to 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, (x_2 - x_1 + 1) × (y_2 - y_1 + 1) = s, and $$$∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x.$$$
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 2000).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2000).
The third line contains m integers b_1, b_2, …, b_m (1 ≤ b_i ≤ 2000).
The fourth line contains a single integer x (1 ≤ x ≤ 2 ⋅ 10^{9}).
Output
If it is possible to choose four integers x_1, x_2, y_1, y_2 such that 1 ≤ x_1 ≤ x_2 ≤ n, 1 ≤ y_1 ≤ y_2 ≤ m, and ∑_{i=x_1}^{x_2}{∑_{j=y_1}^{y_2}{c_{i,j}}} ≤ x, output the largest value of (x_2 - x_1 + 1) × (y_2 - y_1 + 1) among all such quadruplets, otherwise output 0.
Examples
Input
3 3
1 2 3
1 2 3
9
Output
4
Input
5 1
5 4 2 4 5
2
5
Output
1
Note
Matrix from the first sample and the chosen subrectangle (of blue color):
<image>
Matrix from the second sample and the chosen subrectangle (of blue color):
<image> | import java.io.*;
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
new Main().go();
}
PrintWriter out;
InputReader in;
BufferedReader br;
Main() throws IOException {
try {
//br = new BufferedReader( new FileReader("input.txt") );
//in = new Reader("input.txt");
in = new InputReader("input.txt");
out = new PrintWriter( new BufferedWriter(new FileWriter("output.txt")) );
}
catch (Exception e) {
//br = new BufferedReader( new InputStreamReader( System.in ) );
in = new InputReader();
out = new PrintWriter( new BufferedWriter(new OutputStreamWriter(System.out)) );
}
}
void go() throws Exception {
int t = 1;
while (t > 0) {
solve();
//out.println();
t--;
}
out.flush();
out.close();
}
int inf = 2000000000;
int mod = 1000000007;
double eps = 0.000000001;
int n;
int m;
ArrayList<Pair>[] g;
void solve() throws IOException {
int n = in.nextInt();
int m = in.nextInt();
int[] a = new int[n];
int[] b = new int[m];
for (int i = 0; i < n; i++)
a[i] = in.nextInt();
for (int i = 0; i < m; i++)
b[i] = in.nextInt();
int x = in.nextInt();
int[] d1 = new int[n+1];
int[] d2 = new int[m+1];
Arrays.fill(d1, x+1);
Arrays.fill(d2, x+1);
for (int i = 0; i < n; i++) {
long mul = 0;
for (int j = i; j < n; j++) {
if (mul <= x) {
mul += a[j];
}
if (mul <= x)
d1[j - i + 1] = Math.min(d1[j - i + 1], (int)mul);
}
}
for (int i = 0; i < m; i++) {
long mul = 0;
for (int j = i; j < m; j++) {
if (mul <= x)
mul += b[j];
if (mul <= x)
d2[j - i + 1] = Math.min(d2[j - i + 1], (int)mul);
}
}
long ans = 0;
//System.err.print(d1[3]);
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
if (1l*d1[i]*d2[j] <= x)
ans = Math.max(ans, i*j);
out.print(ans);
}
class Pair implements Comparable<Pair>{
int a;
int b;
Pair(int a, int b) {
this.a = a;
this.b = b;
}
public int compareTo(Pair p) {
if (a > p.a) return 1;
if (a < p.a) return -1;
if (b > p.b) return -1;
if (b < p.b) return 1;
return 0;
}
}
class Item {
int a;
int b;
int c;
Item(int a, int b, int c) {
this.a = a;
this.b = b;
this.c = c;
}
}
class Reader {
BufferedReader br;
StringTokenizer tok;
Reader(String file) throws IOException {
br = new BufferedReader( new FileReader(file) );
}
Reader() throws IOException {
br = new BufferedReader( new InputStreamReader(System.in) );
}
String next() throws IOException {
while (tok == null || !tok.hasMoreElements())
tok = new StringTokenizer(br.readLine());
return tok.nextToken();
}
int nextInt() throws NumberFormatException, IOException {
return Integer.valueOf(next());
}
long nextLong() throws NumberFormatException, IOException {
return Long.valueOf(next());
}
double nextDouble() throws NumberFormatException, IOException {
return Double.valueOf(next());
}
String nextLine() throws IOException {
return br.readLine();
}
}
class Parser {
final private int BUFFER_SIZE = 1 << 18;
private DataInputStream din;
private byte[] buffer;
private int bufferPointer, bytesRead;
public Parser(InputStream in) {
din = new DataInputStream(in);
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public String nextString(int maxSize) {
byte[] ch = new byte[maxSize];
int point = 0;
try {
byte c = read();
while (c == ' ' || c == '\n' || c=='\r')
c = read();
while (c != ' ' && c != '\n' && c!='\r') {
ch[point++] = c;
c = read();
}
} catch (Exception e) {}
return new String(ch, 0,point);
}
public int nextInt() {
int ret = 0;
boolean neg;
try {
byte c = read();
while (c <= ' ')
c = read();
neg = c == '-';
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
c = read();
} while (c > ' ');
if (neg) return -ret;
} catch (Exception e) {}
return ret;
}
public long nextLong() {
long ret = 0;
boolean neg;
try {
byte c = read();
while (c <= ' ')
c = read();
neg = c == '-';
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
c = read();
} while (c > ' ');
if (neg) return -ret;
} catch (Exception e) {}
return ret;
}
private void fillBuffer() {
try {
bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
} catch (Exception e) {}
if (bytesRead == -1) buffer[0] = -1;
}
private byte read() {
if (bufferPointer == bytesRead) fillBuffer();
return buffer[bufferPointer++];
}
}
static class InputReader
{
final private int BUFFER_SIZE = 1 << 16;
private DataInputStream din;
private byte[] buffer;
private int bufferPointer, bytesRead;
public InputReader()
{
din = new DataInputStream(System.in);
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public InputReader(String file_name) throws IOException
{
din = new DataInputStream(new FileInputStream(file_name));
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public String readLine() throws IOException
{
byte[] buf = new byte[64]; // line length
int cnt = 0, c;
while ((c = read()) != -1)
{
if (c == '\n')
break;
buf[cnt++] = (byte) c;
}
return new String(buf, 0, cnt);
}
public int nextInt() throws IOException
{
int ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do
{
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public String nextString() throws IOException
{
StringBuilder sb = new StringBuilder();
byte c = read();
while (c <= ' ')
c = read();
do {
sb.append((char)c);
}
while ((c = read()) >= '0' && c <= '9');
return sb.toString();
}
public long nextLong() throws IOException
{
long ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
}
while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public double nextDouble() throws IOException
{
double ret = 0, div = 1;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
}
while ((c = read()) >= '0' && c <= '9');
if (c == '.')
{
while ((c = read()) >= '0' && c <= '9')
{
ret += (c - '0') / (div *= 10);
}
}
if (neg)
return -ret;
return ret;
}
private void fillBuffer() throws IOException
{
bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
if (bytesRead == -1)
buffer[0] = -1;
}
private byte read() throws IOException
{
if (bufferPointer == bytesRead)
fillBuffer();
return buffer[bufferPointer++];
}
public void close() throws IOException
{
if (din == null)
return;
din.close();
}
}
} | 4JAVA
| {
"input": [
"5 1\n5 4 2 4 5\n2\n5\n",
"3 3\n1 2 3\n1 2 3\n9\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n1\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n84465\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"235 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1\n1\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n1567\n13927495\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n36719\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1091 592 1881\n165947710\n",
"5 1\n416 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"5 1\n416 387 336 116 1081\n553\n193993787\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"1 5\n549\n1422 1870 569 844 1178\n340452749\n",
"5 1\n416 387 336 116 1081\n553\n463967\n",
"1 1\n2000\n2000\n2000000000\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n14737319\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n1422 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6085299\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 143 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 844 1178\n3229767\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n16023096\n",
"1 1\n2\n1\n1\n",
"5 5\n816 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1821 1098 756 1599 377\n1567\n14634213\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n2142\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 1007\n45 104 1605 592 1881\n165947710\n",
"5 1\n476 387 336 116 1081\n553\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 622 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n553\n516344\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 5\n549\n178 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 377\n1567\n301515216\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n36719\n",
"1 1\n2000\n3155\n2000000000\n",
"1 10\n491\n980 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 10\n491\n980 1907 1241 336 383 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 1567 206 1661 560 956 1856\n1614959273\n",
"1 10\n491\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 5\n549\n1422 1870 569 289 1178\n3229767\n",
"5 1\n5 4 2 4 5\n2\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 1639 1627 1007\n45 104 2116 592 1881\n84465\n",
"10 1\n451 670 428 1649 428 1139 1098 756 1599 377\n1567\n14634213\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 905 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 2481 409 236 1538 346 1860 587 268 81 1015 1838 1955\n1774052077\n",
"10 1\n451 732 850 1649 428 1821 1098 756 1599 169\n1567\n301515216\n",
"50 1\n420 738 531 1575 1728 842 440 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 944 466 34 679 160 1138 1688 975 1862 336 1693\n1878\n27853310\n",
"10 1\n451 732 428 1649 428 1821 1098 756 1599 377\n3431\n13927495\n",
"50 1\n420 1458 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1125 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 250 1631 466 34 679 160 1138 1688 975 1862 336 1959\n1878\n14524451\n",
"5 5\n816 1061 1639 1627 840\n45 104 1091 592 1881\n43550\n",
"5 1\n476 387 336 116 1081\n696\n249955\n",
"1 50\n758\n1915 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 372 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n27021941\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 481 1510 1862 421 1352 69 387 697 595 330 274 89 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244736879\n",
"5 1\n416 387 336 116 1081\n779\n516344\n",
"1 1\n2000\n3155\n1546566379\n",
"1 10\n491\n1514 1907 1241 336 12 1048 957 440 143 1835\n938294862\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 2065 123 372 953 472 1078 1522 394 1639 1357 1452 1357 89 480 1597 783 177 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1015 1838 1955\n6983184\n",
"1 10\n491\n980 1907 1241 336 80 1048 957 440 143 1835\n1668909\n",
"10 10\n461 1459 597 616 1257 1894 1457 1248 691 493\n1230 150 75 1793 2673 206 1661 560 956 1856\n1614959273\n",
"1 5\n549\n104 1870 569 844 1178\n2449088\n",
"1 100\n1612\n1989 1820 1837 815 943 208 131 1252 1372 145 1182 1200 499 1312 1390 829 1343 1378 280 492 609 1439 1128 1597 123 372 953 472 1078 1522 526 1639 1357 1452 1357 89 480 1597 783 41 1106 688 1426 1334 1292 406 1959 1649 1768 1956 1844 273 454 354 1170 1514 10 557 1472 1697 1004 485 1870 1394 102 400 883 1979 938 501 1368 1038 922 1090 1339 1379 254 1335 1853 1923 1249 1449 1588 334 1460 256 1386 918 1818 409 236 1538 346 1860 587 268 81 1008 1838 1955\n6085299\n",
"1 10\n726\n980 1907 1241 336 811 1048 957 440 148 1835\n1270707\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 203 1011 1596 1500 1213 950 557 451 8 390 1704 606 1084 227 1911 1189 795 571 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 757 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n244986462\n",
"1 50\n758\n1915 1868 1403 691 85 403 1322 701 1192 1463 911 1029 1471 1610 304 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 803 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n28031598\n",
"50 50\n175 1571 1423 1837 1228 1923 1369 1875 1105 1762 265 1011 1596 1500 1213 950 557 451 8 390 1421 606 1084 227 1911 1189 795 481 1510 1862 348 1352 69 387 697 595 330 274 721 1842 1836 1164 1031 1880 281 1150 256 1853 1233 1499\n1977 1404 1816 1031 1712 390 328 1646 342 462 685 523 435 1548 1383 1649 690 538 1291 1558 720 1145 307 1219 321 109 825 37 1836 989 1360 15 1610 852 923 1734 250 1539 612 1059 96 28 1415 293 1490 1016 1700 908 730 1395\n976257664\n",
"1 5\n549\n1422 1870 569 289 1178\n2670384\n",
"1 50\n758\n1551 1868 1403 691 77 403 1322 701 1192 1463 911 1029 1471 1610 736 1501 1243 1327 1624 412 455 177 371 750 1156 989 1861 498 567 560 1140 346 1654 1961 330 718 943 1880 1476 1193 1666 1757 405 202 417 585 1812 293 791 1858\n1796075481\n",
"10 10\n461 1459 597 616 902 1894 1457 1248 209 493\n1230 150 75 1793 2889 206 1661 560 956 1856\n15296685\n",
"100 1\n1525 1915 925 1023 803 1551 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 337 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n70074388\n",
"100 1\n1525 1496 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 438 1366 17 1307 1595 587 367 1961 1018 960 1699 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 1871 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 51 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n66470357\n",
"5 1\n5 4 2 4 5\n4\n0\n",
"100 1\n1525 1915 925 1023 803 904 802 1943 954 23 258 505 972 571 1291 1024 161 461 1020 880 67 1975 1612 1599 1024 682 1810 500 1068 1992 1834 79 476 842 1366 17 1307 1595 587 367 1961 1018 960 3362 1799 1453 1890 1003 780 601 131 808 83 26 1894 1345 1835 674 629 525 709 754 988 1612 810 1618 1979 28 755 1279 407 1052 1951 1047 729 363 1392 1039 701 1915 414 1102 693 1870 1426 447 1428 1272 1500 52 1396 1332 111 556 1440 1199 511 212 42 1547\n1882\n984199988\n",
"50 1\n420 738 531 1575 1728 842 346 786 328 1944 942 1577 1247 1409 194 1398 1417 337 1886 83 559 1438 1741 481 1935 624 893 1028 1626 1143 257 1556 261 1429 642 1997 1720 1400 179 944 466 34 679 160 1138 1688 1638 1862 336 1959\n1878\n16023096\n",
"5 5\n384 1061 2456 1627 1007\n45 104 2116 592 1881\n84465\n"
],
"output": [
"1",
"4",
"100\n",
"11",
"1\n",
"2",
"10\n",
"100\n",
"10\n",
"16",
"1",
"8",
"9",
"0\n",
"25\n",
"1",
"35",
"5\n",
"450",
"5\n",
"3",
"1\n",
"30",
"10\n",
"7",
"5",
"100\n",
"3",
"5",
"3",
"450",
"37",
"1305",
"5\n",
"50\n",
"30",
"39",
"37",
"100\n",
"11\n",
"0\n",
"2\n",
"10\n",
"16\n",
"6\n",
"9\n",
"25\n",
"1\n",
"35\n",
"450\n",
"3\n",
"7\n",
"4\n",
"5\n",
"36\n",
"1312\n",
"50\n",
"30\n",
"38\n",
"37\n",
"100\n",
"10\n",
"0\n",
"1\n",
"10\n",
"6\n",
"100\n",
"3\n",
"450\n",
"5\n",
"0\n",
"100\n",
"10\n",
"2\n",
"10\n",
"100\n",
"10\n",
"16\n",
"5\n",
"9\n",
"1\n",
"1\n",
"35\n",
"450\n",
"2\n",
"1\n",
"10\n",
"7\n",
"6\n",
"100\n",
"4\n",
"5\n",
"3\n",
"450\n",
"37\n",
"1312\n",
"4\n",
"50\n",
"30\n",
"38\n",
"38\n",
"0\n",
"100\n",
"10\n",
"2\n"
]
} | 2CODEFORCES
|
1082_A. Vasya and Book_37848 | Vasya is reading a e-book. The file of the book consists of n pages, numbered from 1 to n. The screen is currently displaying the contents of page x, and Vasya wants to read the page y. There are two buttons on the book which allow Vasya to scroll d pages forwards or backwards (but he cannot scroll outside the book). For example, if the book consists of 10 pages, and d = 3, then from the first page Vasya can scroll to the first or to the fourth page by pressing one of the buttons; from the second page — to the first or to the fifth; from the sixth page — to the third or to the ninth; from the eighth — to the fifth or to the tenth.
Help Vasya to calculate the minimum number of times he needs to press a button to move to page y.
Input
The first line contains one integer t (1 ≤ t ≤ 10^3) — the number of testcases.
Each testcase is denoted by a line containing four integers n, x, y, d (1≤ n, d ≤ 10^9, 1 ≤ x, y ≤ n) — the number of pages, the starting page, the desired page, and the number of pages scrolled by pressing one button, respectively.
Output
Print one line for each test.
If Vasya can move from page x to page y, print the minimum number of times he needs to press a button to do it. Otherwise print -1.
Example
Input
3
10 4 5 2
5 1 3 4
20 4 19 3
Output
4
-1
5
Note
In the first test case the optimal sequence is: 4 → 2 → 1 → 3 → 5.
In the second test case it is possible to get to pages 1 and 5.
In the third test case the optimal sequence is: 4 → 7 → 10 → 13 → 16 → 19. | a=int(raw_input())
for i in xrange(a):
n,x,y,d=map(int,raw_input().split())
res=99999999999999999999999999999
if abs(x-y)%d==0:
res=min(res,abs(x-y)/d)
if (y-1)%d==0:
if (x-1)%d==0:
res=min(res,(x-1)/d+(y-1)/d)
else:
res=min(res,(x-1)/d+(y-1)/d+1)
if (n-y)%d==0:
if (n-x)%d==0:
res=min(res,(n-x)/d+(n-y)/d)
else:
res=min(res,(n-x)/d+(n-y)/d+1)
if res==99999999999999999999999999999:
print -1
else:
print res
| 1Python2
| {
"input": [
"3\n10 4 5 2\n5 1 3 4\n20 4 19 3\n",
"1\n123 123 123 123\n",
"1\n1000000000 5 999999999 1\n",
"1\n1000000000 1 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1010 1010\n",
"1\n11 11 11 11\n",
"1\n400000001 2 200000001 2\n",
"1\n999999999 3 4 5\n",
"1\n1000000000 2 89 5\n",
"1\n1000000000 3 1000000000 2\n",
"1\n12345 1 1 2\n",
"1\n123 123 123 41\n",
"1\n1000000000 1 1000000000 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1000 1010\n",
"1\n400000001 2 200000001 4\n",
"1\n1000000000 4 89 5\n",
"1\n1000000000 3 1000000000 1\n",
"3\n10 4 5 2\n5 1 3 4\n20 4 19 1\n",
"1\n1000000000 1 1000000000 5\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n11 0 11 9\n",
"1\n400000001 2 225510669 4\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n802773925 1 6 5\n",
"1\n106510052 2 60876496 4\n",
"1\n106510052 2 60876496 1\n",
"1\n802773925 2 11 5\n",
"3\n5 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n106510052 2 50704898 1\n",
"1\n106510052 2 34637165 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 10 1\n",
"1\n106510052 2 17808218 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 3 10 1\n",
"1\n106510052 2 17808218 2\n",
"1\n85057642 2 27361827 2\n",
"1\n85057642 2 899811 2\n",
"1\n0110 0011 0001 0001\n",
"1\n1110 0011 0101 0001\n",
"1\n1000000000 0 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 50 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n390405518 2 200000001 2\n",
"1\n1000000000 2 89 8\n",
"3\n10 4 6 2\n5 1 3 4\n20 4 19 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 34 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n400000001 2 200000001 5\n",
"1\n11 11 11 9\n",
"1\n802773925 3 4 5\n",
"1\n54 123 123 41\n",
"1\n1010 1011 1000 1010\n",
"1\n802773925 3 6 5\n",
"1\n1000000100 4 89 5\n",
"3\n10 4 5 2\n2 1 3 4\n20 4 19 1\n",
"1\n1011 1011 1000 1010\n",
"1\n11 0 0 9\n",
"1\n106510052 2 225510669 4\n",
"3\n10 4 5 2\n0 1 3 4\n20 4 19 1\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000010000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n1011 1011 0000 1010\n",
"1\n11 0 0 18\n",
"1\n802773925 1 11 5\n",
"3\n10 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n1011 1001 0000 1010\n",
"1\n11 0 0 22\n",
"1\n1011 1001 0000 1011\n",
"1\n11 0 -1 22\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 19 1\n",
"1\n1011 0001 0000 1011\n",
"1\n5 0 -1 22\n",
"1\n1011 0001 0010 1011\n",
"1\n7 0 -1 22\n",
"1\n1011 0001 0110 1011\n",
"1\n7 0 0 22\n",
"1\n1011 0001 0110 1001\n",
"1\n7 -1 -1 22\n",
"1\n85057642 2 17808218 2\n",
"1\n1011 0001 0110 1101\n",
"1\n2 -1 -1 22\n",
"1\n0011 0001 0110 1101\n",
"1\n2 -2 -1 22\n",
"1\n0001 0001 0110 1101\n",
"1\n2 -2 -1 30\n",
"1\n137475681 2 899811 2\n",
"1\n0001 0001 0110 1100\n",
"1\n2 -2 -2 30\n",
"1\n0011 0001 0110 1100\n",
"1\n2 -2 -2 50\n",
"1\n0011 0001 0010 1100\n",
"1\n2 -1 -2 50\n",
"1\n0011 0011 0010 1100\n",
"1\n2 -1 -4 50\n",
"1\n0011 0011 0010 0100\n",
"1\n3 -1 -4 50\n",
"1\n0111 0011 0010 0100\n",
"1\n1 -1 -4 50\n",
"1\n0111 0011 0011 0100\n",
"1\n1 -1 -4 100\n",
"1\n0111 0011 0011 0101\n",
"1\n1 0 -4 100\n",
"1\n0110 0011 0011 0101\n",
"1\n0 0 -4 100\n",
"1\n0110 0011 0011 0001\n",
"1\n0 -1 -4 100\n",
"1\n0 -1 -2 100\n",
"1\n1110 0011 0001 0001\n",
"1\n0 0 -2 100\n",
"1\n0 0 -3 100\n",
"1\n1 0 -3 100\n",
"1\n1 1 -3 100\n",
"1\n2 1 -3 100\n",
"1\n2 1 -3 110\n"
],
"output": [
"4\n-1\n5\n",
"0\n",
"999999994\n",
"500000000\n",
"4\n23\n12\n1\n-1\n",
"0\n",
"0\n",
"100000001\n",
"399999999\n",
"-1\n",
"499999999\n",
"0\n",
"0\n",
"333333333\n",
"4\n23\n12\n1\n-1\n",
"-1\n",
"50000001\n",
"17\n",
"999999997\n",
"4\n-1\n15\n",
"200000000\n",
"4\n23\n12\n1\n333333332\n",
"2\n",
"56377668\n",
"4\n23\n-1\n1\n333333332\n",
"1\n",
"38035902\n",
"60876494\n",
"3\n",
"1\n-1\n15\n",
"50704896\n",
"34637163\n",
"1\n-1\n6\n",
"17808216\n",
"1\n-1\n7\n",
"8904108\n",
"13680914\n",
"449906\n",
"10\n",
"90\n",
"500000000\n",
"4\n12\n12\n1\n-1\n",
"100000001\n",
"12\n",
"1\n-1\n5\n",
"4\n23\n4\n1\n-1\n",
"40000001\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"2\n",
"17\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"56377668\n",
"4\n-1\n15\n",
"4\n23\n-1\n1\n333333332\n",
"-1\n",
"0\n",
"2\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"2\n",
"-1\n",
"1\n-1\n15\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"8904108\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"449906\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"10\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
1082_A. Vasya and Book_37849 | Vasya is reading a e-book. The file of the book consists of n pages, numbered from 1 to n. The screen is currently displaying the contents of page x, and Vasya wants to read the page y. There are two buttons on the book which allow Vasya to scroll d pages forwards or backwards (but he cannot scroll outside the book). For example, if the book consists of 10 pages, and d = 3, then from the first page Vasya can scroll to the first or to the fourth page by pressing one of the buttons; from the second page — to the first or to the fifth; from the sixth page — to the third or to the ninth; from the eighth — to the fifth or to the tenth.
Help Vasya to calculate the minimum number of times he needs to press a button to move to page y.
Input
The first line contains one integer t (1 ≤ t ≤ 10^3) — the number of testcases.
Each testcase is denoted by a line containing four integers n, x, y, d (1≤ n, d ≤ 10^9, 1 ≤ x, y ≤ n) — the number of pages, the starting page, the desired page, and the number of pages scrolled by pressing one button, respectively.
Output
Print one line for each test.
If Vasya can move from page x to page y, print the minimum number of times he needs to press a button to do it. Otherwise print -1.
Example
Input
3
10 4 5 2
5 1 3 4
20 4 19 3
Output
4
-1
5
Note
In the first test case the optimal sequence is: 4 → 2 → 1 → 3 → 5.
In the second test case it is possible to get to pages 1 and 5.
In the third test case the optimal sequence is: 4 → 7 → 10 → 13 → 16 → 19. | #include <bits/stdc++.h>
using namespace std;
inline void boost() {
ios_base::sync_with_stdio();
cin.tie(0);
cout.tie(0);
}
const long long maxn = 1e5 + 123;
const long long inf = 1e9 + 123;
const long long mod = 1e9 + 7;
const double pi = acos(-1);
int main() {
boost();
int t;
cin >> t;
for (int i = 1; i <= t; i++) {
int n, d, y, x;
cin >> n >> x >> y >> d;
int mn = inf;
if (abs(y - x) % d == 0) {
mn = min(mn, abs(y - x) / d);
}
if (abs(y - 1) % d == 0 && abs(x - 1) % d == 0) {
mn = min(abs(x - 1) / d + abs(y - 1) / d, mn);
}
if (abs(y - 1) % d == 0 && abs(x - 1) % d != 0) {
mn = min(abs(x - 1) / d + abs(y - 1) / d + 1, mn);
}
if (abs(y - n) % d == 0 && abs(x - n) % d == 0) {
mn = min(abs(x - n) / d + abs(y - n) / d, mn);
}
if (abs(y - n) % d == 0 && abs(x - n) % d != 0) {
mn = min(abs(x - n) / d + abs(y - n) / d + 1, mn);
}
if (mn == inf) {
cout << "-1\n";
} else {
cout << mn << "\n";
}
}
return 0;
}
| 2C++
| {
"input": [
"3\n10 4 5 2\n5 1 3 4\n20 4 19 3\n",
"1\n123 123 123 123\n",
"1\n1000000000 5 999999999 1\n",
"1\n1000000000 1 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1010 1010\n",
"1\n11 11 11 11\n",
"1\n400000001 2 200000001 2\n",
"1\n999999999 3 4 5\n",
"1\n1000000000 2 89 5\n",
"1\n1000000000 3 1000000000 2\n",
"1\n12345 1 1 2\n",
"1\n123 123 123 41\n",
"1\n1000000000 1 1000000000 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1000 1010\n",
"1\n400000001 2 200000001 4\n",
"1\n1000000000 4 89 5\n",
"1\n1000000000 3 1000000000 1\n",
"3\n10 4 5 2\n5 1 3 4\n20 4 19 1\n",
"1\n1000000000 1 1000000000 5\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n11 0 11 9\n",
"1\n400000001 2 225510669 4\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n802773925 1 6 5\n",
"1\n106510052 2 60876496 4\n",
"1\n106510052 2 60876496 1\n",
"1\n802773925 2 11 5\n",
"3\n5 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n106510052 2 50704898 1\n",
"1\n106510052 2 34637165 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 10 1\n",
"1\n106510052 2 17808218 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 3 10 1\n",
"1\n106510052 2 17808218 2\n",
"1\n85057642 2 27361827 2\n",
"1\n85057642 2 899811 2\n",
"1\n0110 0011 0001 0001\n",
"1\n1110 0011 0101 0001\n",
"1\n1000000000 0 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 50 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n390405518 2 200000001 2\n",
"1\n1000000000 2 89 8\n",
"3\n10 4 6 2\n5 1 3 4\n20 4 19 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 34 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n400000001 2 200000001 5\n",
"1\n11 11 11 9\n",
"1\n802773925 3 4 5\n",
"1\n54 123 123 41\n",
"1\n1010 1011 1000 1010\n",
"1\n802773925 3 6 5\n",
"1\n1000000100 4 89 5\n",
"3\n10 4 5 2\n2 1 3 4\n20 4 19 1\n",
"1\n1011 1011 1000 1010\n",
"1\n11 0 0 9\n",
"1\n106510052 2 225510669 4\n",
"3\n10 4 5 2\n0 1 3 4\n20 4 19 1\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000010000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n1011 1011 0000 1010\n",
"1\n11 0 0 18\n",
"1\n802773925 1 11 5\n",
"3\n10 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n1011 1001 0000 1010\n",
"1\n11 0 0 22\n",
"1\n1011 1001 0000 1011\n",
"1\n11 0 -1 22\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 19 1\n",
"1\n1011 0001 0000 1011\n",
"1\n5 0 -1 22\n",
"1\n1011 0001 0010 1011\n",
"1\n7 0 -1 22\n",
"1\n1011 0001 0110 1011\n",
"1\n7 0 0 22\n",
"1\n1011 0001 0110 1001\n",
"1\n7 -1 -1 22\n",
"1\n85057642 2 17808218 2\n",
"1\n1011 0001 0110 1101\n",
"1\n2 -1 -1 22\n",
"1\n0011 0001 0110 1101\n",
"1\n2 -2 -1 22\n",
"1\n0001 0001 0110 1101\n",
"1\n2 -2 -1 30\n",
"1\n137475681 2 899811 2\n",
"1\n0001 0001 0110 1100\n",
"1\n2 -2 -2 30\n",
"1\n0011 0001 0110 1100\n",
"1\n2 -2 -2 50\n",
"1\n0011 0001 0010 1100\n",
"1\n2 -1 -2 50\n",
"1\n0011 0011 0010 1100\n",
"1\n2 -1 -4 50\n",
"1\n0011 0011 0010 0100\n",
"1\n3 -1 -4 50\n",
"1\n0111 0011 0010 0100\n",
"1\n1 -1 -4 50\n",
"1\n0111 0011 0011 0100\n",
"1\n1 -1 -4 100\n",
"1\n0111 0011 0011 0101\n",
"1\n1 0 -4 100\n",
"1\n0110 0011 0011 0101\n",
"1\n0 0 -4 100\n",
"1\n0110 0011 0011 0001\n",
"1\n0 -1 -4 100\n",
"1\n0 -1 -2 100\n",
"1\n1110 0011 0001 0001\n",
"1\n0 0 -2 100\n",
"1\n0 0 -3 100\n",
"1\n1 0 -3 100\n",
"1\n1 1 -3 100\n",
"1\n2 1 -3 100\n",
"1\n2 1 -3 110\n"
],
"output": [
"4\n-1\n5\n",
"0\n",
"999999994\n",
"500000000\n",
"4\n23\n12\n1\n-1\n",
"0\n",
"0\n",
"100000001\n",
"399999999\n",
"-1\n",
"499999999\n",
"0\n",
"0\n",
"333333333\n",
"4\n23\n12\n1\n-1\n",
"-1\n",
"50000001\n",
"17\n",
"999999997\n",
"4\n-1\n15\n",
"200000000\n",
"4\n23\n12\n1\n333333332\n",
"2\n",
"56377668\n",
"4\n23\n-1\n1\n333333332\n",
"1\n",
"38035902\n",
"60876494\n",
"3\n",
"1\n-1\n15\n",
"50704896\n",
"34637163\n",
"1\n-1\n6\n",
"17808216\n",
"1\n-1\n7\n",
"8904108\n",
"13680914\n",
"449906\n",
"10\n",
"90\n",
"500000000\n",
"4\n12\n12\n1\n-1\n",
"100000001\n",
"12\n",
"1\n-1\n5\n",
"4\n23\n4\n1\n-1\n",
"40000001\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"2\n",
"17\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"56377668\n",
"4\n-1\n15\n",
"4\n23\n-1\n1\n333333332\n",
"-1\n",
"0\n",
"2\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"2\n",
"-1\n",
"1\n-1\n15\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"8904108\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"449906\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"10\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
1082_A. Vasya and Book_37850 | Vasya is reading a e-book. The file of the book consists of n pages, numbered from 1 to n. The screen is currently displaying the contents of page x, and Vasya wants to read the page y. There are two buttons on the book which allow Vasya to scroll d pages forwards or backwards (but he cannot scroll outside the book). For example, if the book consists of 10 pages, and d = 3, then from the first page Vasya can scroll to the first or to the fourth page by pressing one of the buttons; from the second page — to the first or to the fifth; from the sixth page — to the third or to the ninth; from the eighth — to the fifth or to the tenth.
Help Vasya to calculate the minimum number of times he needs to press a button to move to page y.
Input
The first line contains one integer t (1 ≤ t ≤ 10^3) — the number of testcases.
Each testcase is denoted by a line containing four integers n, x, y, d (1≤ n, d ≤ 10^9, 1 ≤ x, y ≤ n) — the number of pages, the starting page, the desired page, and the number of pages scrolled by pressing one button, respectively.
Output
Print one line for each test.
If Vasya can move from page x to page y, print the minimum number of times he needs to press a button to do it. Otherwise print -1.
Example
Input
3
10 4 5 2
5 1 3 4
20 4 19 3
Output
4
-1
5
Note
In the first test case the optimal sequence is: 4 → 2 → 1 → 3 → 5.
In the second test case it is possible to get to pages 1 and 5.
In the third test case the optimal sequence is: 4 → 7 → 10 → 13 → 16 → 19. | T = int(input())
from math import ceil
for i in range(T):
n,in_,fin_,d = map(int,input().split())
r1 = in_%d
r2 = fin_%d
r = n%d
z = float("inf")
a1,a2,a3 = float("inf"),float("inf"),float("inf")
if r1 == r2:
a1 = abs(fin_-in_)//d
if r2 == r:
a2 = ceil((n-in_)/d)+abs((fin_-n)//d)
if r2 == 1:
a3 = ceil(in_/d)+abs(fin_-1)//d
z = min(a1,a2,a3)
if z == float("inf"):
print(-1)
else:
print(z) | 3Python3
| {
"input": [
"3\n10 4 5 2\n5 1 3 4\n20 4 19 3\n",
"1\n123 123 123 123\n",
"1\n1000000000 5 999999999 1\n",
"1\n1000000000 1 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1010 1010\n",
"1\n11 11 11 11\n",
"1\n400000001 2 200000001 2\n",
"1\n999999999 3 4 5\n",
"1\n1000000000 2 89 5\n",
"1\n1000000000 3 1000000000 2\n",
"1\n12345 1 1 2\n",
"1\n123 123 123 41\n",
"1\n1000000000 1 1000000000 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1000 1010\n",
"1\n400000001 2 200000001 4\n",
"1\n1000000000 4 89 5\n",
"1\n1000000000 3 1000000000 1\n",
"3\n10 4 5 2\n5 1 3 4\n20 4 19 1\n",
"1\n1000000000 1 1000000000 5\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n11 0 11 9\n",
"1\n400000001 2 225510669 4\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n802773925 1 6 5\n",
"1\n106510052 2 60876496 4\n",
"1\n106510052 2 60876496 1\n",
"1\n802773925 2 11 5\n",
"3\n5 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n106510052 2 50704898 1\n",
"1\n106510052 2 34637165 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 10 1\n",
"1\n106510052 2 17808218 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 3 10 1\n",
"1\n106510052 2 17808218 2\n",
"1\n85057642 2 27361827 2\n",
"1\n85057642 2 899811 2\n",
"1\n0110 0011 0001 0001\n",
"1\n1110 0011 0101 0001\n",
"1\n1000000000 0 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 50 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n390405518 2 200000001 2\n",
"1\n1000000000 2 89 8\n",
"3\n10 4 6 2\n5 1 3 4\n20 4 19 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 34 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n400000001 2 200000001 5\n",
"1\n11 11 11 9\n",
"1\n802773925 3 4 5\n",
"1\n54 123 123 41\n",
"1\n1010 1011 1000 1010\n",
"1\n802773925 3 6 5\n",
"1\n1000000100 4 89 5\n",
"3\n10 4 5 2\n2 1 3 4\n20 4 19 1\n",
"1\n1011 1011 1000 1010\n",
"1\n11 0 0 9\n",
"1\n106510052 2 225510669 4\n",
"3\n10 4 5 2\n0 1 3 4\n20 4 19 1\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000010000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n1011 1011 0000 1010\n",
"1\n11 0 0 18\n",
"1\n802773925 1 11 5\n",
"3\n10 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n1011 1001 0000 1010\n",
"1\n11 0 0 22\n",
"1\n1011 1001 0000 1011\n",
"1\n11 0 -1 22\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 19 1\n",
"1\n1011 0001 0000 1011\n",
"1\n5 0 -1 22\n",
"1\n1011 0001 0010 1011\n",
"1\n7 0 -1 22\n",
"1\n1011 0001 0110 1011\n",
"1\n7 0 0 22\n",
"1\n1011 0001 0110 1001\n",
"1\n7 -1 -1 22\n",
"1\n85057642 2 17808218 2\n",
"1\n1011 0001 0110 1101\n",
"1\n2 -1 -1 22\n",
"1\n0011 0001 0110 1101\n",
"1\n2 -2 -1 22\n",
"1\n0001 0001 0110 1101\n",
"1\n2 -2 -1 30\n",
"1\n137475681 2 899811 2\n",
"1\n0001 0001 0110 1100\n",
"1\n2 -2 -2 30\n",
"1\n0011 0001 0110 1100\n",
"1\n2 -2 -2 50\n",
"1\n0011 0001 0010 1100\n",
"1\n2 -1 -2 50\n",
"1\n0011 0011 0010 1100\n",
"1\n2 -1 -4 50\n",
"1\n0011 0011 0010 0100\n",
"1\n3 -1 -4 50\n",
"1\n0111 0011 0010 0100\n",
"1\n1 -1 -4 50\n",
"1\n0111 0011 0011 0100\n",
"1\n1 -1 -4 100\n",
"1\n0111 0011 0011 0101\n",
"1\n1 0 -4 100\n",
"1\n0110 0011 0011 0101\n",
"1\n0 0 -4 100\n",
"1\n0110 0011 0011 0001\n",
"1\n0 -1 -4 100\n",
"1\n0 -1 -2 100\n",
"1\n1110 0011 0001 0001\n",
"1\n0 0 -2 100\n",
"1\n0 0 -3 100\n",
"1\n1 0 -3 100\n",
"1\n1 1 -3 100\n",
"1\n2 1 -3 100\n",
"1\n2 1 -3 110\n"
],
"output": [
"4\n-1\n5\n",
"0\n",
"999999994\n",
"500000000\n",
"4\n23\n12\n1\n-1\n",
"0\n",
"0\n",
"100000001\n",
"399999999\n",
"-1\n",
"499999999\n",
"0\n",
"0\n",
"333333333\n",
"4\n23\n12\n1\n-1\n",
"-1\n",
"50000001\n",
"17\n",
"999999997\n",
"4\n-1\n15\n",
"200000000\n",
"4\n23\n12\n1\n333333332\n",
"2\n",
"56377668\n",
"4\n23\n-1\n1\n333333332\n",
"1\n",
"38035902\n",
"60876494\n",
"3\n",
"1\n-1\n15\n",
"50704896\n",
"34637163\n",
"1\n-1\n6\n",
"17808216\n",
"1\n-1\n7\n",
"8904108\n",
"13680914\n",
"449906\n",
"10\n",
"90\n",
"500000000\n",
"4\n12\n12\n1\n-1\n",
"100000001\n",
"12\n",
"1\n-1\n5\n",
"4\n23\n4\n1\n-1\n",
"40000001\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"2\n",
"17\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"56377668\n",
"4\n-1\n15\n",
"4\n23\n-1\n1\n333333332\n",
"-1\n",
"0\n",
"2\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"2\n",
"-1\n",
"1\n-1\n15\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"8904108\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"449906\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"10\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
1082_A. Vasya and Book_37851 | Vasya is reading a e-book. The file of the book consists of n pages, numbered from 1 to n. The screen is currently displaying the contents of page x, and Vasya wants to read the page y. There are two buttons on the book which allow Vasya to scroll d pages forwards or backwards (but he cannot scroll outside the book). For example, if the book consists of 10 pages, and d = 3, then from the first page Vasya can scroll to the first or to the fourth page by pressing one of the buttons; from the second page — to the first or to the fifth; from the sixth page — to the third or to the ninth; from the eighth — to the fifth or to the tenth.
Help Vasya to calculate the minimum number of times he needs to press a button to move to page y.
Input
The first line contains one integer t (1 ≤ t ≤ 10^3) — the number of testcases.
Each testcase is denoted by a line containing four integers n, x, y, d (1≤ n, d ≤ 10^9, 1 ≤ x, y ≤ n) — the number of pages, the starting page, the desired page, and the number of pages scrolled by pressing one button, respectively.
Output
Print one line for each test.
If Vasya can move from page x to page y, print the minimum number of times he needs to press a button to do it. Otherwise print -1.
Example
Input
3
10 4 5 2
5 1 3 4
20 4 19 3
Output
4
-1
5
Note
In the first test case the optimal sequence is: 4 → 2 → 1 → 3 → 5.
In the second test case it is possible to get to pages 1 and 5.
In the third test case the optimal sequence is: 4 → 7 → 10 → 13 → 16 → 19. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Scanner;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
Scanner in = new Scanner(inputStream);
PrintWriter out = new PrintWriter(outputStream);
T1082A solver = new T1082A();
solver.solve(1, in, out);
out.close();
}
static class T1082A {
public void solve(int testNumber, Scanner in, PrintWriter out) {
int q = in.nextInt();
while (q > 0) {
q--;
int n = in.nextInt(), x = in.nextInt(), y = in.nextInt(), d = in.nextInt();
int dt = Math.abs(x - y), ans = -1;
if (dt % d == 0) ans = dt / d;
else {
int goLeft = -1, goRight = -1;
if ((y - 1) % d == 0) {
goLeft = (int) Math.ceil(1.0 * x / d) + (y - 1) / d;
}
if ((n - y) % d == 0) {
goRight = (int) Math.ceil(1.0 * (n - x) / d) + (n - y) / d;
}
if (goLeft != -1) ans = goLeft;
if (goRight != -1 && goLeft != -1) ans = Math.min(ans, goRight);
else if (goRight != -1) ans = goRight;
}
out.println(ans);
}
}
}
}
| 4JAVA
| {
"input": [
"3\n10 4 5 2\n5 1 3 4\n20 4 19 3\n",
"1\n123 123 123 123\n",
"1\n1000000000 5 999999999 1\n",
"1\n1000000000 1 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1010 1010\n",
"1\n11 11 11 11\n",
"1\n400000001 2 200000001 2\n",
"1\n999999999 3 4 5\n",
"1\n1000000000 2 89 5\n",
"1\n1000000000 3 1000000000 2\n",
"1\n12345 1 1 2\n",
"1\n123 123 123 41\n",
"1\n1000000000 1 1000000000 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n1010 1010 1000 1010\n",
"1\n400000001 2 200000001 4\n",
"1\n1000000000 4 89 5\n",
"1\n1000000000 3 1000000000 1\n",
"3\n10 4 5 2\n5 1 3 4\n20 4 19 1\n",
"1\n1000000000 1 1000000000 5\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 8\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n11 0 11 9\n",
"1\n400000001 2 225510669 4\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000000000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n802773925 1 6 5\n",
"1\n106510052 2 60876496 4\n",
"1\n106510052 2 60876496 1\n",
"1\n802773925 2 11 5\n",
"3\n5 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n106510052 2 50704898 1\n",
"1\n106510052 2 34637165 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 10 1\n",
"1\n106510052 2 17808218 1\n",
"3\n5 4 5 1\n1 1 3 4\n20 3 10 1\n",
"1\n106510052 2 17808218 2\n",
"1\n85057642 2 27361827 2\n",
"1\n85057642 2 899811 2\n",
"1\n0110 0011 0001 0001\n",
"1\n1110 0011 0101 0001\n",
"1\n1000000000 0 1000000000 2\n",
"5\n20 10 2 9\n1000000000 2 50 4\n1000000000 2 89 8\n1000000000 89 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n390405518 2 200000001 2\n",
"1\n1000000000 2 89 8\n",
"3\n10 4 6 2\n5 1 3 4\n20 4 19 3\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 34 8\n1000000000 142 1 1000000000\n1000000000 1000000000 2 3\n",
"1\n400000001 2 200000001 5\n",
"1\n11 11 11 9\n",
"1\n802773925 3 4 5\n",
"1\n54 123 123 41\n",
"1\n1010 1011 1000 1010\n",
"1\n802773925 3 6 5\n",
"1\n1000000100 4 89 5\n",
"3\n10 4 5 2\n2 1 3 4\n20 4 19 1\n",
"1\n1011 1011 1000 1010\n",
"1\n11 0 0 9\n",
"1\n106510052 2 225510669 4\n",
"3\n10 4 5 2\n0 1 3 4\n20 4 19 1\n",
"5\n20 10 2 9\n1000000000 2 89 4\n1000000000 2 89 5\n1000010000 142 1 1000000000\n1000000000 1000000000 4 3\n",
"1\n1011 1011 0000 1010\n",
"1\n11 0 0 18\n",
"1\n802773925 1 11 5\n",
"3\n10 4 5 2\n1 1 3 4\n20 4 19 1\n",
"1\n1011 1001 0000 1010\n",
"1\n11 0 0 22\n",
"1\n1011 1001 0000 1011\n",
"1\n11 0 -1 22\n",
"3\n5 4 5 1\n1 1 3 4\n20 4 19 1\n",
"1\n1011 0001 0000 1011\n",
"1\n5 0 -1 22\n",
"1\n1011 0001 0010 1011\n",
"1\n7 0 -1 22\n",
"1\n1011 0001 0110 1011\n",
"1\n7 0 0 22\n",
"1\n1011 0001 0110 1001\n",
"1\n7 -1 -1 22\n",
"1\n85057642 2 17808218 2\n",
"1\n1011 0001 0110 1101\n",
"1\n2 -1 -1 22\n",
"1\n0011 0001 0110 1101\n",
"1\n2 -2 -1 22\n",
"1\n0001 0001 0110 1101\n",
"1\n2 -2 -1 30\n",
"1\n137475681 2 899811 2\n",
"1\n0001 0001 0110 1100\n",
"1\n2 -2 -2 30\n",
"1\n0011 0001 0110 1100\n",
"1\n2 -2 -2 50\n",
"1\n0011 0001 0010 1100\n",
"1\n2 -1 -2 50\n",
"1\n0011 0011 0010 1100\n",
"1\n2 -1 -4 50\n",
"1\n0011 0011 0010 0100\n",
"1\n3 -1 -4 50\n",
"1\n0111 0011 0010 0100\n",
"1\n1 -1 -4 50\n",
"1\n0111 0011 0011 0100\n",
"1\n1 -1 -4 100\n",
"1\n0111 0011 0011 0101\n",
"1\n1 0 -4 100\n",
"1\n0110 0011 0011 0101\n",
"1\n0 0 -4 100\n",
"1\n0110 0011 0011 0001\n",
"1\n0 -1 -4 100\n",
"1\n0 -1 -2 100\n",
"1\n1110 0011 0001 0001\n",
"1\n0 0 -2 100\n",
"1\n0 0 -3 100\n",
"1\n1 0 -3 100\n",
"1\n1 1 -3 100\n",
"1\n2 1 -3 100\n",
"1\n2 1 -3 110\n"
],
"output": [
"4\n-1\n5\n",
"0\n",
"999999994\n",
"500000000\n",
"4\n23\n12\n1\n-1\n",
"0\n",
"0\n",
"100000001\n",
"399999999\n",
"-1\n",
"499999999\n",
"0\n",
"0\n",
"333333333\n",
"4\n23\n12\n1\n-1\n",
"-1\n",
"50000001\n",
"17\n",
"999999997\n",
"4\n-1\n15\n",
"200000000\n",
"4\n23\n12\n1\n333333332\n",
"2\n",
"56377668\n",
"4\n23\n-1\n1\n333333332\n",
"1\n",
"38035902\n",
"60876494\n",
"3\n",
"1\n-1\n15\n",
"50704896\n",
"34637163\n",
"1\n-1\n6\n",
"17808216\n",
"1\n-1\n7\n",
"8904108\n",
"13680914\n",
"449906\n",
"10\n",
"90\n",
"500000000\n",
"4\n12\n12\n1\n-1\n",
"100000001\n",
"12\n",
"1\n-1\n5\n",
"4\n23\n4\n1\n-1\n",
"40000001\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"2\n",
"17\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"56377668\n",
"4\n-1\n15\n",
"4\n23\n-1\n1\n333333332\n",
"-1\n",
"0\n",
"2\n",
"4\n-1\n15\n",
"-1\n",
"0\n",
"2\n",
"-1\n",
"1\n-1\n15\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"8904108\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"449906\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"10\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
1101_C. Division and Union_37852 | There are n segments [l_i, r_i] for 1 ≤ i ≤ n. You should divide all segments into two non-empty groups in such way that there is no pair of segments from different groups which have at least one common point, or say that it's impossible to do it. Each segment should belong to exactly one group.
To optimize testing process you will be given multitest.
Input
The first line contains one integer T (1 ≤ T ≤ 50000) — the number of queries. Each query contains description of the set of segments. Queries are independent.
First line of each query contains single integer n (2 ≤ n ≤ 10^5) — number of segments. It is guaranteed that ∑{n} over all queries does not exceed 10^5.
The next n lines contains two integers l_i, r_i per line (1 ≤ l_i ≤ r_i ≤ 2 ⋅ 10^5) — the i-th segment.
Output
For each query print n integers t_1, t_2, ..., t_n (t_i ∈ \{1, 2\}) — for each segment (in the same order as in the input) t_i equals 1 if the i-th segment will belongs to the first group and 2 otherwise.
If there are multiple answers, you can print any of them. If there is no answer, print -1.
Example
Input
3
2
5 5
2 3
3
3 5
2 3
2 3
3
3 3
4 4
5 5
Output
2 1
-1
1 1 2
Note
In the first query the first and the second segments should be in different groups, but exact numbers don't matter.
In the second query the third segment intersects with the first and the second segments, so they should be in the same group, but then the other group becomes empty, so answer is -1.
In the third query we can distribute segments in any way that makes groups non-empty, so any answer of 6 possible is correct. | #!/usr/bin/env python
"""
This file is part of https://github.com/Cheran-Senthil/PyRival.
Copyright 2018 Cheran Senthilkumar all rights reserved,
Cheran Senthilkumar <[email protected]>
Permission to use, modify, and distribute this software is given under the
terms of the MIT License.
"""
from __future__ import division, print_function
import cmath
import itertools
import math
import operator as op
# import random
import sys
from atexit import register
from bisect import bisect_left, bisect_right
# from collections import Counter, MutableSequence, defaultdict, deque
# from copy import deepcopy
# from decimal import Decimal
# from difflib import SequenceMatcher
# from fractions import Fraction
# from heapq import heappop, heappush
if sys.version_info[0] < 3:
# from cPickle import dumps
from io import BytesIO as stream
# from Queue import PriorityQueue, Queue
else:
# from functools import reduce
from io import StringIO as stream
# from pickle import dumps
# from queue import PriorityQueue, Queue
if sys.version_info[0] < 3:
class dict(dict):
"""dict() -> new empty dictionary"""
def items(self):
"""D.items() -> a set-like object providing a view on D's items"""
return dict.iteritems(self)
def keys(self):
"""D.keys() -> a set-like object providing a view on D's keys"""
return dict.iterkeys(self)
def values(self):
"""D.values() -> an object providing a view on D's values"""
return dict.itervalues(self)
input = raw_input
range = xrange
filter = itertools.ifilter
map = itertools.imap
zip = itertools.izip
def sync_with_stdio(sync=True):
"""Set whether the standard Python streams are allowed to buffer their I/O.
Args:
sync (bool, optional): The new synchronization setting.
"""
global input, flush
if sync:
flush = sys.stdout.flush
else:
sys.stdin = stream(sys.stdin.read())
input = iter(sys.stdin.readlines()).next
sys.stdout = stream()
register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
def gcd(x, y):
"""greatest common divisor of x and y"""
while y:
x, y = y, x % y
return x
def main():
for _ in range(int(input())):
n = int(input())
q = sorted([list(map(int, input().split())) + [i] for i in range(n)])
t = [2] * n
le = q[0][1]
for s, e, i in q:
if s > le: break
t[i] = 1
le = max(le, e)
if t[q[-1][2]] == 1:
print(-1)
continue
print(*t)
if __name__ == '__main__':
sync_with_stdio(False)
main()
| 1Python2
| {
"input": [
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 4\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 7\n5 4\n",
"3\n2\n3 10\n0 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 10\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 5\n1 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 8\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 7\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n2 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 6\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n10 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 2\n2\n3 4\n4 4\n5 5\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n0 1\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n10 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 2\n3\n1 5\n2 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 10\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n1 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 6\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n1 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n3 5\n2 3\n3\n5 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n2\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n"
],
"output": [
"2 1 \n-1\n1 2 2 \n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n1 2 2\n"
]
} | 2CODEFORCES
|
1101_C. Division and Union_37853 | There are n segments [l_i, r_i] for 1 ≤ i ≤ n. You should divide all segments into two non-empty groups in such way that there is no pair of segments from different groups which have at least one common point, or say that it's impossible to do it. Each segment should belong to exactly one group.
To optimize testing process you will be given multitest.
Input
The first line contains one integer T (1 ≤ T ≤ 50000) — the number of queries. Each query contains description of the set of segments. Queries are independent.
First line of each query contains single integer n (2 ≤ n ≤ 10^5) — number of segments. It is guaranteed that ∑{n} over all queries does not exceed 10^5.
The next n lines contains two integers l_i, r_i per line (1 ≤ l_i ≤ r_i ≤ 2 ⋅ 10^5) — the i-th segment.
Output
For each query print n integers t_1, t_2, ..., t_n (t_i ∈ \{1, 2\}) — for each segment (in the same order as in the input) t_i equals 1 if the i-th segment will belongs to the first group and 2 otherwise.
If there are multiple answers, you can print any of them. If there is no answer, print -1.
Example
Input
3
2
5 5
2 3
3
3 5
2 3
2 3
3
3 3
4 4
5 5
Output
2 1
-1
1 1 2
Note
In the first query the first and the second segments should be in different groups, but exact numbers don't matter.
In the second query the third segment intersects with the first and the second segments, so they should be in the same group, but then the other group becomes empty, so answer is -1.
In the third query we can distribute segments in any way that makes groups non-empty, so any answer of 6 possible is correct. | #include <bits/stdc++.h>
using namespace std;
int main() {
int q = 0;
cin >> q;
vector<pair<pair<int, int>, int>> intervals;
for (int i = 0; i < q; i++) {
int n;
cin >> n;
intervals.resize(n);
for (int j = 0; j < n; j++) {
cin >> intervals[j].first.first >> intervals[j].first.second;
intervals[j].second = j;
}
sort(intervals.begin(), intervals.end());
int maxend = intervals[0].first.second;
bool possible = false;
int pivot = 0;
for (int j = 1; j < intervals.size(); j++) {
if (maxend < intervals[j].first.first) {
possible = true;
pivot = intervals[j].first.first;
break;
} else if (maxend < intervals[j].first.second) {
maxend = intervals[j].first.second;
}
}
if (!possible) {
cout << "-1\n";
continue;
}
vector<int> out(n);
for (int j = 0; j < n; j++) {
int originalIndex = intervals[j].second;
int begin = intervals[j].first.first;
int end = intervals[j].first.second;
if (end < pivot) {
out[originalIndex] = 1;
} else if (begin >= pivot) {
out[originalIndex] = 2;
}
}
for (int j = 0; j < n; j++) {
cout << out[j] << ' ';
}
cout << '\n';
}
return 0;
}
| 2C++
| {
"input": [
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 4\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 7\n5 4\n",
"3\n2\n3 10\n0 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 10\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 5\n1 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 8\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 7\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n2 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 6\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n10 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 2\n2\n3 4\n4 4\n5 5\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n0 1\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n10 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 2\n3\n1 5\n2 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 10\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n1 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 6\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n1 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n3 5\n2 3\n3\n5 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n2\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n"
],
"output": [
"2 1 \n-1\n1 2 2 \n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n1 2 2\n"
]
} | 2CODEFORCES
|
1101_C. Division and Union_37854 | There are n segments [l_i, r_i] for 1 ≤ i ≤ n. You should divide all segments into two non-empty groups in such way that there is no pair of segments from different groups which have at least one common point, or say that it's impossible to do it. Each segment should belong to exactly one group.
To optimize testing process you will be given multitest.
Input
The first line contains one integer T (1 ≤ T ≤ 50000) — the number of queries. Each query contains description of the set of segments. Queries are independent.
First line of each query contains single integer n (2 ≤ n ≤ 10^5) — number of segments. It is guaranteed that ∑{n} over all queries does not exceed 10^5.
The next n lines contains two integers l_i, r_i per line (1 ≤ l_i ≤ r_i ≤ 2 ⋅ 10^5) — the i-th segment.
Output
For each query print n integers t_1, t_2, ..., t_n (t_i ∈ \{1, 2\}) — for each segment (in the same order as in the input) t_i equals 1 if the i-th segment will belongs to the first group and 2 otherwise.
If there are multiple answers, you can print any of them. If there is no answer, print -1.
Example
Input
3
2
5 5
2 3
3
3 5
2 3
2 3
3
3 3
4 4
5 5
Output
2 1
-1
1 1 2
Note
In the first query the first and the second segments should be in different groups, but exact numbers don't matter.
In the second query the third segment intersects with the first and the second segments, so they should be in the same group, but then the other group becomes empty, so answer is -1.
In the third query we can distribute segments in any way that makes groups non-empty, so any answer of 6 possible is correct. | for _ in range(int(input())):
n=int(input())
a=sorted(list(map(int,input().split()))+[i] for i in range(n))
ans=[0]*n
group=1
maxx=a[0][1]
for l,r,i in a:
if group==1 and maxx<l:
group=2
if r>maxx:
maxx=r
ans[i]=group
if group==2:
print(*ans)
else:print(-1) | 3Python3
| {
"input": [
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 4\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 7\n5 4\n",
"3\n2\n3 10\n0 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 10\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 5\n1 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 8\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 7\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n2 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 6\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n10 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 2\n2\n3 4\n4 4\n5 5\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n0 1\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n10 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 2\n3\n1 5\n2 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 10\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n1 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 6\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n1 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n3 5\n2 3\n3\n5 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n2\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n"
],
"output": [
"2 1 \n-1\n1 2 2 \n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n1 2 2\n"
]
} | 2CODEFORCES
|
1101_C. Division and Union_37855 | There are n segments [l_i, r_i] for 1 ≤ i ≤ n. You should divide all segments into two non-empty groups in such way that there is no pair of segments from different groups which have at least one common point, or say that it's impossible to do it. Each segment should belong to exactly one group.
To optimize testing process you will be given multitest.
Input
The first line contains one integer T (1 ≤ T ≤ 50000) — the number of queries. Each query contains description of the set of segments. Queries are independent.
First line of each query contains single integer n (2 ≤ n ≤ 10^5) — number of segments. It is guaranteed that ∑{n} over all queries does not exceed 10^5.
The next n lines contains two integers l_i, r_i per line (1 ≤ l_i ≤ r_i ≤ 2 ⋅ 10^5) — the i-th segment.
Output
For each query print n integers t_1, t_2, ..., t_n (t_i ∈ \{1, 2\}) — for each segment (in the same order as in the input) t_i equals 1 if the i-th segment will belongs to the first group and 2 otherwise.
If there are multiple answers, you can print any of them. If there is no answer, print -1.
Example
Input
3
2
5 5
2 3
3
3 5
2 3
2 3
3
3 3
4 4
5 5
Output
2 1
-1
1 1 2
Note
In the first query the first and the second segments should be in different groups, but exact numbers don't matter.
In the second query the third segment intersects with the first and the second segments, so they should be in the same group, but then the other group becomes empty, so answer is -1.
In the third query we can distribute segments in any way that makes groups non-empty, so any answer of 6 possible is correct. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.util.Comparator;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
PrintWriter out = new PrintWriter(outputStream);
CDivisionAndUnion solver = new CDivisionAndUnion();
solver.solve(1, in, out);
out.close();
}
static class CDivisionAndUnion {
public void solve(int testNumber, InputReader in, PrintWriter out) {
int num_problems = in.nextInt();
for (int i = 0; i < num_problems; i++) {
int N = in.nextInt();
Integer[][] A = new Integer[N][2];
Integer[] index = new Integer[N];
for (int j = 0; j < N; j++) {
index[j] = j;
A[j][0] = in.nextInt();
A[j][1] = in.nextInt();
}
// out.println(Arrays.toString(index));
Arrays.sort(index, new Comparator<Integer>() {
public int compare(Integer a, Integer b) {
return Integer.compare(A[a][0], A[b][0]);
}
});
// out.println(Arrays.toString(index));
Arrays.sort(A, new Comparator<Integer[]>() {
public int compare(Integer[] a, Integer[] b) {
return Integer.compare(a[0], b[0]);
}
});
int last = A[0][1];
boolean[] set1 = new boolean[N];
set1[index[0]] = true;
boolean fail = false;
for (int k = 1; k < N; k++) {
// out.println(k);
// out.println(last);
if (last < A[k][0]) {
break;
}
last = Math.max(last, A[k][1]);
set1[index[k]] = true;
if (k == N - 1)
fail = true;
}
if (fail) {
out.println(-1);
} else {
for (int k = 0; k < N; k++) {
if (set1[k]) {
out.print(1 + " ");
} else {
out.print(2 + " ");
}
}
out.println();
}
}
}
}
static class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
}
}
| 4JAVA
| {
"input": [
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 3\n2\n3 4\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n2 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 3\n3\n3 3\n4 7\n5 4\n",
"3\n2\n3 10\n0 3\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 10\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 5\n1 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n0 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n1 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 2\n3\n0 5\n0 5\n0 6\n3\n3 3\n4 4\n5 8\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 4\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 3\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 2\n0 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 7\n1 5\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 5\n2 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n0 3\n3\n3 5\n1 3\n2 3\n2\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n2 3\n2 2\n3\n2 3\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n3 3\n3\n3 6\n4 4\n5 5\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n0 4\n3\n3 3\n4 4\n10 5\n",
"3\n2\n3 5\n2 3\n3\n3 5\n1 5\n1 4\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 5\n1 3\n2 2\n2\n3 4\n4 4\n5 5\n",
"3\n2\n5 9\n2 3\n3\n3 5\n1 2\n2 3\n2\n3 5\n4 4\n5 5\n",
"3\n2\n3 10\n0 1\n3\n3 5\n1 5\n0 5\n3\n3 3\n4 4\n5 4\n",
"3\n2\n10 10\n2 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 2\n3\n1 5\n2 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 8\n5 5\n",
"3\n2\n5 9\n2 3\n3\n1 5\n1 3\n3 3\n3\n3 3\n4 5\n5 5\n",
"3\n2\n5 10\n0 2\n3\n1 5\n1 5\n0 3\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n1 2\n3\n0 5\n1 5\n0 6\n3\n3 3\n4 4\n5 4\n",
"3\n2\n5 5\n2 3\n3\n3 3\n1 6\n2 3\n3\n3 3\n4 4\n5 5\n",
"3\n2\n3 5\n2 3\n3\n1 5\n1 5\n2 3\n3\n3 3\n4 4\n0 4\n",
"3\n2\n3 5\n2 3\n3\n5 5\n1 5\n0 3\n3\n3 3\n4 8\n5 4\n",
"3\n2\n4 10\n2 3\n3\n3 5\n1 5\n0 4\n2\n3 3\n4 4\n5 4\n",
"3\n2\n4 10\n2 3\n3\n2 5\n1 5\n0 3\n3\n3 3\n4 6\n5 4\n"
],
"output": [
"2 1 \n-1\n1 2 2 \n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n-1\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"2 1\n-1\n1 2 2\n",
"-1\n-1\n-1\n",
"-1\n-1\n1 2 2\n",
"2 1\n-1\n1 2\n",
"2 1\n-1\n1 2 2\n"
]
} | 2CODEFORCES
|
112_A. Petya and Strings_37856 | Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison.
Input
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
Output
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
Examples
Input
aaaa
aaaA
Output
0
Input
abs
Abz
Output
-1
Input
abcdefg
AbCdEfF
Output
1
Note
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
* http://en.wikipedia.org/wiki/Lexicographical_order | x= raw_input();
y = raw_input();
if x.lower() == y.lower():
print 0
elif x.lower() > y.lower():
print 1
else:
print -1 | 1Python2
| {
"input": [
"aaaa\naaaA\n",
"abs\nAbz\n",
"abcdefg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWvCSTYGpzOntUNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"nG\nZf\n",
"a\nZ\n",
"PyK\noKN\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtlvNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSGYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nkv\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nTYwRiJfqsZHBPcJuZQBTnVbkyZZRnidwEuYQnorbQTLYOqGligFyjirJUxnblVKqZaknQpigDVGPwyKfxyNXSDoKxztRKSaSFA\n",
"abac\nadaa\n",
"EncmXtAblQzcVRzMQqdDqXfAhXbtJKQwZVWyHoWUckohnZqfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nq\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxcLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFOngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"Bbc\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"peOw\nIgSJ\n",
"HRfxniwuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"Ooq\nwap\n",
"Gre\nfxc\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmwDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAaAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkQvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNDIsUdIhvbcaxpTRWoV\n",
"O\ni\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvLo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyFtscWDSI\n",
"MWyB\nWZEV\n",
"nTomZZuTTRTAAPoUsySVFGElrpQRNLjqvFmcYytiheQnjUhPLnqNBiYtQkljbcvmjuNAVKbvQOWpqqFlQhAhULIhquoCnjUI\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nydq\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGVBPBAnkSYEYvseFKbWSktoqaHYXUmYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nrNquIcjNWESjpPVWmzUJFrelpUZeGDmSvCurCqVmKHKVAAPkaHksniOlzjiKYIJtvbuQWZRufMebpTFPqyxIWWjfPaWYiNlK\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMnCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYkOfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\naaaab\n",
"JZR\nVae\n",
"aslkjlkasdd\nasdlkjdajwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\nXhxWuSnMmKFrCUOwkTUmvKAfbTbHWzzOTzxJatLLCdlGnHVaBUnxDlsqpvjLHMThOPAFBggVKDyKBrZAmjnjrhHlrnSkyzBja\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRyaVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlbB\n",
"UG\nak\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwdwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDlP\n",
"asadasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamxxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQzXTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUJSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\na\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTvMKyANFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"nG\nfZ\n",
"aaaa\naaAa\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDXwKrYiDOTozhFCgDMKoiVijJpKmdVBtEyzCRVFmlKmgLTnxYvSwnxFGxtGHJZluyrsnZdfIOBNJEURnigFTdEstDbQD\n",
"b\nZ\n",
"PyK\noKM\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nvk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"abab\nadaa\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"cbB\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nyxXNZMraOxlMbUGyNxRGxChVGaBsHsXqaRXQrvwXKMFVTHVQoCEaukyNhjvwCbqjKaEKZcYASRAObeSrddpvdjJyysSGuxlp\n",
"Oepw\nIgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"qoO\nwap\n",
"Gre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAbAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"O\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWZDV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nyqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaaaa\n",
"ZJR\nVae\n",
"aslkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBFAPOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlcB\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDPl\n",
"asaeasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamwxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"TuvR\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\nb\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abr\nAbz\n",
"abcdffg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n",
"dXwkrYiDOTOZHFCgDMkOIvIJJpkmdVBTEYzCRvFmlkmgLtNxyVswnXFGXTGHJzlUyrsnZDfIObNJeURNiGFtDEStdBQD\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"Gn\nZf\n",
"KyP\noKM\n",
"nCeNVIzHqPceNhjHervJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkH\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyUXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nwk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNWsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsbHarHaOkeNWEHGTaGOFCOFEwvK\n",
"p\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKLWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaa`aaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzJAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMVTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSylNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"Oepw\nHgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSZnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"oOq\nwap\n",
"Hre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazNPOllPsNZHcIZd\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoWjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"NRiwOhyOnvSVKqaxTevUgdAWXHATDmoTRFintLlpGoRMgAPXpDSPrBRLrvxvUMDJnDuZAdsHXiHMEELaUdDWEDAdUKXdqGPCmyc\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"P\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnwblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDiZsAykKjfBDPMulkhBMsqLmVKLDoesHmsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWDZV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVIgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbFYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nxqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckmROGQZzjWyWCcnmDYrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"bVhtqnqStAFMtBcElQwFjtqQXWnstMCOhnlqaqAydTqcFYTwgqvjIwGftpMVvcwwswptgoNHgYmJxiTsDNIOOsiBNUKNADJh\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"XbTbTchQRWZcLUOwEtFcBrpDfApmFoUwXMvLBkvkIDeGuwmAhxmuOZppMQLWRJuaMzOSRhmExdUmqiZLgaCETauoevEhEuwb\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaa`a\n",
"ZJR\nVaf\n",
"asmkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBPAFOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqrXmeZhvvEEiEhkdOmoMvy\n",
"XId\nBcl\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSyeeDOJubfqonFpVNGVbHFcAhjnOFvrrqnRgKhkYqQZmRfUl\n",
"NmGX\npDPl\n",
"asasaedasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nQdDLhLkmsLZAbyxxlVAQICbULjxUChCbFVLjSAlaSzSqMrPxwmaISwrBreQSkyIScOVVrCrzRcFgBrlWizJLapEmgCcJas\n",
"ycLoaqxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nEzJb\n",
"mtBeIYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"KhScXYhErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abaa\naaAa\n",
"abr\nbAz\n",
"abcdffg\nAbBdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBaAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n"
],
"output": [
"0\n",
"-1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
112_A. Petya and Strings_37857 | Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison.
Input
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
Output
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
Examples
Input
aaaa
aaaA
Output
0
Input
abs
Abz
Output
-1
Input
abcdefg
AbCdEfF
Output
1
Note
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
* http://en.wikipedia.org/wiki/Lexicographical_order | #include <bits/stdc++.h>
using namespace std;
string a, b;
int main() {
string a, b;
cin >> a >> b;
for (int i = 0; i < a.size(); i++) {
if (char(tolower(a[i])) == char(tolower(b[i]))) {
continue;
} else if (char(tolower(a[i])) > char(tolower(b[i]))) {
cout << 1 << endl;
return 0;
} else if (char(tolower(a[i])) < char(tolower(b[i]))) {
cout << -1 << endl;
return 0;
}
}
cout << 0 << endl;
}
| 2C++
| {
"input": [
"aaaa\naaaA\n",
"abs\nAbz\n",
"abcdefg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWvCSTYGpzOntUNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"nG\nZf\n",
"a\nZ\n",
"PyK\noKN\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtlvNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSGYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nkv\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nTYwRiJfqsZHBPcJuZQBTnVbkyZZRnidwEuYQnorbQTLYOqGligFyjirJUxnblVKqZaknQpigDVGPwyKfxyNXSDoKxztRKSaSFA\n",
"abac\nadaa\n",
"EncmXtAblQzcVRzMQqdDqXfAhXbtJKQwZVWyHoWUckohnZqfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nq\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxcLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFOngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"Bbc\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"peOw\nIgSJ\n",
"HRfxniwuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"Ooq\nwap\n",
"Gre\nfxc\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmwDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAaAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkQvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNDIsUdIhvbcaxpTRWoV\n",
"O\ni\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvLo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyFtscWDSI\n",
"MWyB\nWZEV\n",
"nTomZZuTTRTAAPoUsySVFGElrpQRNLjqvFmcYytiheQnjUhPLnqNBiYtQkljbcvmjuNAVKbvQOWpqqFlQhAhULIhquoCnjUI\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nydq\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGVBPBAnkSYEYvseFKbWSktoqaHYXUmYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nrNquIcjNWESjpPVWmzUJFrelpUZeGDmSvCurCqVmKHKVAAPkaHksniOlzjiKYIJtvbuQWZRufMebpTFPqyxIWWjfPaWYiNlK\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMnCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYkOfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\naaaab\n",
"JZR\nVae\n",
"aslkjlkasdd\nasdlkjdajwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\nXhxWuSnMmKFrCUOwkTUmvKAfbTbHWzzOTzxJatLLCdlGnHVaBUnxDlsqpvjLHMThOPAFBggVKDyKBrZAmjnjrhHlrnSkyzBja\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRyaVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlbB\n",
"UG\nak\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwdwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDlP\n",
"asadasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamxxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQzXTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUJSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\na\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTvMKyANFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"nG\nfZ\n",
"aaaa\naaAa\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDXwKrYiDOTozhFCgDMKoiVijJpKmdVBtEyzCRVFmlKmgLTnxYvSwnxFGxtGHJZluyrsnZdfIOBNJEURnigFTdEstDbQD\n",
"b\nZ\n",
"PyK\noKM\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nvk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"abab\nadaa\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"cbB\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nyxXNZMraOxlMbUGyNxRGxChVGaBsHsXqaRXQrvwXKMFVTHVQoCEaukyNhjvwCbqjKaEKZcYASRAObeSrddpvdjJyysSGuxlp\n",
"Oepw\nIgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"qoO\nwap\n",
"Gre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAbAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"O\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWZDV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nyqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaaaa\n",
"ZJR\nVae\n",
"aslkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBFAPOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlcB\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDPl\n",
"asaeasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamwxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"TuvR\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\nb\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abr\nAbz\n",
"abcdffg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n",
"dXwkrYiDOTOZHFCgDMkOIvIJJpkmdVBTEYzCRvFmlkmgLtNxyVswnXFGXTGHJzlUyrsnZDfIObNJeURNiGFtDEStdBQD\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"Gn\nZf\n",
"KyP\noKM\n",
"nCeNVIzHqPceNhjHervJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkH\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyUXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nwk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNWsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsbHarHaOkeNWEHGTaGOFCOFEwvK\n",
"p\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKLWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaa`aaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzJAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMVTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSylNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"Oepw\nHgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSZnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"oOq\nwap\n",
"Hre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazNPOllPsNZHcIZd\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoWjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"NRiwOhyOnvSVKqaxTevUgdAWXHATDmoTRFintLlpGoRMgAPXpDSPrBRLrvxvUMDJnDuZAdsHXiHMEELaUdDWEDAdUKXdqGPCmyc\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"P\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnwblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDiZsAykKjfBDPMulkhBMsqLmVKLDoesHmsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWDZV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVIgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbFYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nxqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckmROGQZzjWyWCcnmDYrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"bVhtqnqStAFMtBcElQwFjtqQXWnstMCOhnlqaqAydTqcFYTwgqvjIwGftpMVvcwwswptgoNHgYmJxiTsDNIOOsiBNUKNADJh\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"XbTbTchQRWZcLUOwEtFcBrpDfApmFoUwXMvLBkvkIDeGuwmAhxmuOZppMQLWRJuaMzOSRhmExdUmqiZLgaCETauoevEhEuwb\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaa`a\n",
"ZJR\nVaf\n",
"asmkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBPAFOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqrXmeZhvvEEiEhkdOmoMvy\n",
"XId\nBcl\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSyeeDOJubfqonFpVNGVbHFcAhjnOFvrrqnRgKhkYqQZmRfUl\n",
"NmGX\npDPl\n",
"asasaedasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nQdDLhLkmsLZAbyxxlVAQICbULjxUChCbFVLjSAlaSzSqMrPxwmaISwrBreQSkyIScOVVrCrzRcFgBrlWizJLapEmgCcJas\n",
"ycLoaqxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nEzJb\n",
"mtBeIYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"KhScXYhErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abaa\naaAa\n",
"abr\nbAz\n",
"abcdffg\nAbBdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBaAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n"
],
"output": [
"0\n",
"-1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
112_A. Petya and Strings_37858 | Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison.
Input
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
Output
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
Examples
Input
aaaa
aaaA
Output
0
Input
abs
Abz
Output
-1
Input
abcdefg
AbCdEfF
Output
1
Note
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
* http://en.wikipedia.org/wiki/Lexicographical_order | a=input();b=input()
A=a.lower();B=b.lower()
if A==B:
print(0)
elif A>B:
print(1)
elif A<B:
print(-1)
| 3Python3
| {
"input": [
"aaaa\naaaA\n",
"abs\nAbz\n",
"abcdefg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWvCSTYGpzOntUNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"nG\nZf\n",
"a\nZ\n",
"PyK\noKN\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtlvNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSGYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nkv\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nTYwRiJfqsZHBPcJuZQBTnVbkyZZRnidwEuYQnorbQTLYOqGligFyjirJUxnblVKqZaknQpigDVGPwyKfxyNXSDoKxztRKSaSFA\n",
"abac\nadaa\n",
"EncmXtAblQzcVRzMQqdDqXfAhXbtJKQwZVWyHoWUckohnZqfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nq\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxcLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFOngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"Bbc\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"peOw\nIgSJ\n",
"HRfxniwuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"Ooq\nwap\n",
"Gre\nfxc\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmwDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAaAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkQvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNDIsUdIhvbcaxpTRWoV\n",
"O\ni\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvLo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyFtscWDSI\n",
"MWyB\nWZEV\n",
"nTomZZuTTRTAAPoUsySVFGElrpQRNLjqvFmcYytiheQnjUhPLnqNBiYtQkljbcvmjuNAVKbvQOWpqqFlQhAhULIhquoCnjUI\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nydq\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGVBPBAnkSYEYvseFKbWSktoqaHYXUmYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nrNquIcjNWESjpPVWmzUJFrelpUZeGDmSvCurCqVmKHKVAAPkaHksniOlzjiKYIJtvbuQWZRufMebpTFPqyxIWWjfPaWYiNlK\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMnCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYkOfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\naaaab\n",
"JZR\nVae\n",
"aslkjlkasdd\nasdlkjdajwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\nXhxWuSnMmKFrCUOwkTUmvKAfbTbHWzzOTzxJatLLCdlGnHVaBUnxDlsqpvjLHMThOPAFBggVKDyKBrZAmjnjrhHlrnSkyzBja\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRyaVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlbB\n",
"UG\nak\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwdwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDlP\n",
"asadasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamxxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQzXTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUJSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\na\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTvMKyANFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"nG\nfZ\n",
"aaaa\naaAa\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDXwKrYiDOTozhFCgDMKoiVijJpKmdVBtEyzCRVFmlKmgLTnxYvSwnxFGxtGHJZluyrsnZdfIOBNJEURnigFTdEstDbQD\n",
"b\nZ\n",
"PyK\noKM\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nvk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"abab\nadaa\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"cbB\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nyxXNZMraOxlMbUGyNxRGxChVGaBsHsXqaRXQrvwXKMFVTHVQoCEaukyNhjvwCbqjKaEKZcYASRAObeSrddpvdjJyysSGuxlp\n",
"Oepw\nIgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"qoO\nwap\n",
"Gre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAbAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"O\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWZDV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nyqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaaaa\n",
"ZJR\nVae\n",
"aslkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBFAPOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlcB\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDPl\n",
"asaeasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamwxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"TuvR\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\nb\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abr\nAbz\n",
"abcdffg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n",
"dXwkrYiDOTOZHFCgDMkOIvIJJpkmdVBTEYzCRvFmlkmgLtNxyVswnXFGXTGHJzlUyrsnZDfIObNJeURNiGFtDEStdBQD\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"Gn\nZf\n",
"KyP\noKM\n",
"nCeNVIzHqPceNhjHervJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkH\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyUXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nwk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNWsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsbHarHaOkeNWEHGTaGOFCOFEwvK\n",
"p\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKLWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaa`aaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzJAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMVTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSylNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"Oepw\nHgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSZnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"oOq\nwap\n",
"Hre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazNPOllPsNZHcIZd\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoWjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"NRiwOhyOnvSVKqaxTevUgdAWXHATDmoTRFintLlpGoRMgAPXpDSPrBRLrvxvUMDJnDuZAdsHXiHMEELaUdDWEDAdUKXdqGPCmyc\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"P\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnwblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDiZsAykKjfBDPMulkhBMsqLmVKLDoesHmsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWDZV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVIgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbFYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nxqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckmROGQZzjWyWCcnmDYrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"bVhtqnqStAFMtBcElQwFjtqQXWnstMCOhnlqaqAydTqcFYTwgqvjIwGftpMVvcwwswptgoNHgYmJxiTsDNIOOsiBNUKNADJh\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"XbTbTchQRWZcLUOwEtFcBrpDfApmFoUwXMvLBkvkIDeGuwmAhxmuOZppMQLWRJuaMzOSRhmExdUmqiZLgaCETauoevEhEuwb\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaa`a\n",
"ZJR\nVaf\n",
"asmkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBPAFOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqrXmeZhvvEEiEhkdOmoMvy\n",
"XId\nBcl\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSyeeDOJubfqonFpVNGVbHFcAhjnOFvrrqnRgKhkYqQZmRfUl\n",
"NmGX\npDPl\n",
"asasaedasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nQdDLhLkmsLZAbyxxlVAQICbULjxUChCbFVLjSAlaSzSqMrPxwmaISwrBreQSkyIScOVVrCrzRcFgBrlWizJLapEmgCcJas\n",
"ycLoaqxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nEzJb\n",
"mtBeIYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"KhScXYhErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abaa\naaAa\n",
"abr\nbAz\n",
"abcdffg\nAbBdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBaAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n"
],
"output": [
"0\n",
"-1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
112_A. Petya and Strings_37859 | Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison.
Input
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
Output
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
Examples
Input
aaaa
aaaA
Output
0
Input
abs
Abz
Output
-1
Input
abcdefg
AbCdEfF
Output
1
Note
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
* http://en.wikipedia.org/wiki/Lexicographical_order | import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int result;
String str1 = in.nextLine();
String str2 = in.nextLine();
//str1 = str1.toLowerCase();
// str2 = str2.toLowerCase();
result = str1.compareToIgnoreCase(str2);
if(result == 0)
System.out.println("0");
else if(result!=0 && result <0)
System.out.println("-1");
else if(result!=0 && result > 0)
System.out.println("1");
}
} | 4JAVA
| {
"input": [
"aaaa\naaaA\n",
"abs\nAbz\n",
"abcdefg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWvCSTYGpzOntUNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"nG\nZf\n",
"a\nZ\n",
"PyK\noKN\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtlvNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSGYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nkv\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nTYwRiJfqsZHBPcJuZQBTnVbkyZZRnidwEuYQnorbQTLYOqGligFyjirJUxnblVKqZaknQpigDVGPwyKfxyNXSDoKxztRKSaSFA\n",
"abac\nadaa\n",
"EncmXtAblQzcVRzMQqdDqXfAhXbtJKQwZVWyHoWUckohnZqfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nq\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxcLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFOngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"Bbc\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"peOw\nIgSJ\n",
"HRfxniwuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"Ooq\nwap\n",
"Gre\nfxc\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmwDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAaAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkQvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNDIsUdIhvbcaxpTRWoV\n",
"O\ni\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvLo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyFtscWDSI\n",
"MWyB\nWZEV\n",
"nTomZZuTTRTAAPoUsySVFGElrpQRNLjqvFmcYytiheQnjUhPLnqNBiYtQkljbcvmjuNAVKbvQOWpqqFlQhAhULIhquoCnjUI\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nydq\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGVBPBAnkSYEYvseFKbWSktoqaHYXUmYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nrNquIcjNWESjpPVWmzUJFrelpUZeGDmSvCurCqVmKHKVAAPkaHksniOlzjiKYIJtvbuQWZRufMebpTFPqyxIWWjfPaWYiNlK\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMnCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYkOfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\naaaab\n",
"JZR\nVae\n",
"aslkjlkasdd\nasdlkjdajwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\nXhxWuSnMmKFrCUOwkTUmvKAfbTbHWzzOTzxJatLLCdlGnHVaBUnxDlsqpvjLHMThOPAFBggVKDyKBrZAmjnjrhHlrnSkyzBja\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRyaVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlbB\n",
"UG\nak\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwdwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDlP\n",
"asadasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamxxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQzXTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUJSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\na\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTvMKyANFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nkigpRWntOUNdBsKaFEFjhhYZnYDNfzWuXwZhibxFQRybbakPteNfwwvcStyGPzoNTunznuHXrWjKMIctWLWJANBAxJ\n",
"nG\nfZ\n",
"aaaa\naaAa\n",
"DQBdtSEDtFGiNRUeJNbOIfDZnsryUlzJHGTXGFXnwsVyxNtLgmklmFvRCzYETBVdmkpJJIvIOkMDgCFHZOTODiYrkwXd\nDXwKrYiDOTozhFCgDMKoiVijJpKmdVBtEyzCRVFmlKmgLTnxYvSwnxFGxtGHJZluyrsnZdfIOBNJEURnigFTdEstDbQD\n",
"b\nZ\n",
"PyK\noKM\n",
"nCeNVIzHqPceNhjHeHvJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkr\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyVXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nvk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNXsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"abab\nadaa\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsaHarHaOkeNWEHGTaGOFCOFEwvK\n",
"q\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKMWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzKAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"cbB\nabc\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMlTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSyVNqTNQqMhAG\nyxXNZMraOxlMbUGyNxRGxChVGaBsHsXqaRXQrvwXKMFVTHVQoCEaukyNhjvwCbqjKaEKZcYASRAObeSrddpvdjJyysSGuxlp\n",
"Oepw\nIgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSYnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"qoO\nwap\n",
"Gre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazOPOllPsNZHcIZd\n",
"aAaaaAAbAaaAzZsssSsdDfeEaeqZlpP\nAaaaAaaAaaAaZzSSSSsDdFeeAeQZLpp\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoVjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"cymCPGqdXKUdADEWDdUaLEEMHiXHsdAZuDnJDMUvxvrLRBrPSDpXPAgMRoGplLtniFRTomDTAHXWAdgUveTxaqKVSvnOyhOwiRN\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"O\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnvblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDimsAykKjfBDPMulkhBMsqLmVKLDoesHZsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWZDV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVFgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbIYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nyqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckYROGQZzjWyWCcnmDmrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"hJDANKUNBisOOINDsTixJmYgHNogtpwswwcvVMptfGwIjvqgwTYFcqTdyAqaqlnhOCMtsnWXQqtjFwQlEcBtMFAtSqnqthVb\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"bwuEhEveouaTECagLZiqmUdxEmhRSOzMauJRWLQMppZOumxhAmwuGeDIkvkBLvMXwUoFmpAfDprBcFtEwOULcZWRQhcTbTbX\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaaaa\n",
"ZJR\nVae\n",
"aslkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBFAPOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqqXmeZhvvEEiEhkdOmoMvy\n",
"XId\nlcB\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSOeeDOJubfqonFpVNGVbHFcAhjnyFvrrqnRgKhkYqQZmRfUl\n",
"NmGY\npDPl\n",
"asaeasdasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nsaJcCgmEpaLJziWlrBgFcRzrCrVVOcSIykSQerBrwSIamwxPrMqSzSalASjLVFbChCUxjLUbCIQAVlxxybAZLsmkLhLDdQ\n",
"ycLoapxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"TuvR\nbJzE\n",
"mtBeJYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"m\nb\n",
"KhScXYiErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abr\nAbz\n",
"abcdffg\nAbCdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBbAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n",
"dXwkrYiDOTOZHFCgDMkOIvIJJpkmdVBTEYzCRvFmlkmgLtNxyVswnXFGXTGHJzlUyrsnZDfIObNJeURNiGFtDEStdBQD\nDQbDtsEdTFginRUEJNBOIfdZnsryulZJHGtxGFxnwSvYxnTLgmKlmFVRCzyEtBVdmKpJjiVioKMDgCFhzoTODiYrKwXD\n",
"Gn\nZf\n",
"KyP\noKM\n",
"nCeNVIzHqPceNhjHervJvgBsNFiXBATRrjSTXJzhLMDMxiJztphxBRlDlqwDFImWeEPkggZCXSRwelOdpNrYnTepiOqpvkH\nHJbjJFtluNxIbkKlxQUwmZHJFVNMwPAPDRslIoXISBYHHfymyIaQHLgECPxAmqnOCizwXnIUBRmpYUBVPenoUKhCobKdOjL\n",
"ttXjenUAlfixytHEOrPkgXmkKTSFYuyUXGIHYmWWYGlBYpHkujueqBSgjLguSgiMGJWATIGEUjjAjKXdMiVbHozZUmqQtFrT\nJziDBFBDmDJCcGqFsQwDFBYdOidLxxhBCtScznnDgnsiStlWFnEXQrJxqTXKPxZyIGfLIToETKWZBPUIBmLeImrlSBWCkTNo\n",
"rk\nwk\n",
"tYWRijFQSzHBpCjUzqBtNvBKyzZRnIdWEuyqnORBQTLyOQglIGfYJIRjuxnbLvkqZakNqPiGDvgpWYkfxYNWsdoKXZtRkSasfa\nAFSaSKRtzxKoDSXNyxfKywPGVDgipQnkaZqKVlbnxUJrijyFgilGqOYLTQbronQYuEwdinRZZykbVnTBQZuJcPBHZsqfJiRwYT\n",
"EncmXtAblQzcVRzMQqqDqXfAhXbtJKQwZVWyHoWUckohnZdfoCmNJDzexFgFJYrwNHGgzCJTzQQFnxGlhmvQTpicTkEeVICKac\nNIUNZoMLFMyAjVgQLITELJSodIXcGSDWfhFypRoGYuogJpnqGTotWxVqpvBHjFOWcDRDtARsbHarHaOkeNWEHGTaGOFCOFEwvK\n",
"p\nr\n",
"kGWUuguKzcvxqKTNpxeDWXpXkrXDvGMFGoXKDfPBZvWSDUyIYBynbKOUonHvmZaKeirUhfmVRKtGhAdBfKLWXDUoqvbfpfHYcg\ncvOULleuIIiYVVxbLZmHVpNGXuEpzcWZZWyMOwIwbpkKPwCfkVbKkUuosvxYCKjqfVmHfJKbdrsAcatPYgrCABaFcoBuOmMfFt\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaabaaaaaaaaaaaaa`aaaaaaaa\n",
"lfFpECEqUMEOJhipvkZjDPcpDNJedOVXiSMgBvBZbtfzIKekcvpWPCazKAhJyHircRtgcBIJwwstpHaLAgxFNngAWUZRgCef\nLfFPEcequmeojHIpVkzjDPcpdNJEDOVXiSmGBVBZBtfZikEKcvPwpCAzJAHJyHIrCRTgCbIJWwSTphALagXfOnGAwUzRGcEF\n",
"nvUbnrywIePXcoukIhwTfUVcHUEgXcsMyNQhmMVTltZiCooyZiIKRIGVHMCnTKgzXXIuvoNDEZswKoACOBGSylNqTNQqMhAG\nplxuGSsyyJjdvpddrSebOARSAYcZKEaKjqbCwvjhNykuaECoQVHTVFMKXwvrQXRaqXsHsBaGVhCxGRxNyGUbMlxOarMZNXxy\n",
"Oepw\nHgSJ\n",
"HRfxnixuJCaHOcaOVgjOGHXKrwxrDQxJpppeGDXnTAowyKbCsCQPbchCKeTWOcKbySSZnoaTJDnmRcyGPbfXJyZoPcARHBu\nxkLXvwkvGIWSQaFTznLOctUXNuzzBBOlqvzmVfTSejekTAlwidRrsxkbZTsGGeEWxCXHzqWVuLGoCyrGjKkQoHqduXwYQKC\n",
"oOq\nwap\n",
"Hre\nfcx\n",
"tjucSbGESVmVridTBjTmpVBCwwdWKBPeBvmgdxgIVLwQxveETnSdxkTVJpXoperWSgdpPMKNmxDiGeHfxnuqaDissgXPlMuNZIr\nHfjOOJhomqNIKHvqSgfySjlsWJQBuWYwhLQhlZYlpZwboMpoLoluGsBmhhlYgeIouwdkPfiaAIrkYRlxtiFazNPOllPsNZHcIZd\n",
"cpPQMpjRQJKQVXjWDYECXbagSmNcVfOuBWNZxihdERraVuiOpSVDCPgTGuSQALNoWjySceHcKXwOEpSzXrEqWwwrYeppNiWhDVg\nCPPqmPjRqJkRvxJwdyECXBAGsMNcVfOuBWNzxIhderRavUiOpSvDCpGTgusqAlNovjyScEhCKXwoePSZxrEQwWwryEPPniWHDvG\n",
"NRiwOhyOnvSVKqaxTevUgdAWXHATDmoTRFintLlpGoRMgAPXpDSPrBRLrvxvUMDJnDuZAdsHXiHMEELaUdDWEDAdUKXdqGPCmyc\nuhmyEWzapiRNPFDisvHTbenXMfeZaHqOFlKjrfQjUBwdFktNpeiRoDWuBftZLcCZZAVfioOihZVNqiNCNEIsUdIhvbcaxpTRWoV\n",
"P\nj\n",
"tatuhQPIzjptlzzJpCAPXSRTKZRlwgfoCIsFjJquRoIDyZZYRSPdFUTjjUPhLBBfeEIfLQpygKXRcyQFiQsEtRtLnZErBqW\ntkHUjllbafLUWhVCnwblKjgYIEoHhsjVmrDBmAWbvtkHxDbRFvsXAjHIrujaDbYwOZmacknhZPeCcorbRgHjjgAgoJdjvKo\n",
"AanbDfbZNlUodtBQlvPMyomStKNhgvSGhSbTdabxGFGGXCdpsJDiZsAykKjfBDPMulkhBMsqLmVKLDoesHmsRAEEdEzqigueXInY\ncwfyjoppiJNrjrOLNZkqcGimrpTsiyFBVgMWEPXsMrxLJDDbtYzerXiFGuLBcQYitLdqhGHBpdjRnkUegmnwhGHAKXGyGtscWDSI\n",
"MWyB\nWDZV\n",
"IUjnCouqhILUhAhQlFqqpWOQvbKVANujmvcbjlkQtYiBNqnLPhUjnQehityYcmFvqjLNRQprlEGFVSysUoPAATRTTuZZmoTn\nntOmzZuttrtAAPOUSySVIgeLRPQrNLjQvfmCyYTiHEQnjuHPlNQNbFYtqKLJBCVmjunavkbvQOWPQQFlqHaHULIHQuOcnJUi\n",
"PPS\nxqd\n",
"sSvpcITJAwghVfJaLKBmyjOkhltTGjYJVLWCYMFUomiJaKQYhXTajvZVHIMHbyckmROGQZzjWyWCcnmDYrkvTKfHSSzCIhsXgEZa\nvhCXkCwAmErGmBPBAnkSYEYvseFKbWSktoqaHYXUVYkHfOkRwuEyBRoGoBrOXBKVxXycjZGStuvDarnXMbZLWrbjrisDoJBdSvWJ\n",
"bVhtqnqStAFMtBcElQwFjtqQXWnstMCOhnlqaqAydTqcFYTwgqvjIwGftpMVvcwwswptgoNHgYmJxiTsDNIOOsiBNUKNADJh\nKlNiYWaPfjWWIxyqPFTpbeMfuRZWQubvtJIYKijzlOinskHakPAAVKHKmVqCruCvSmDGeZUplerFJUzmWVPpjSEWNjcIuqNr\n",
"XbTbTchQRWZcLUOwEtFcBrpDfApmFoUwXMvLBkvkIDeGuwmAhxmuOZppMQLWRJuaMzOSRhmExdUmqiZLgaCETauoevEhEuwb\nHhoDWbcxwiMOCNexOsKsujLiSGcLllXOkRSbnOzThAjnnliLYFFmsYknfpTxRNEfBsoUHfoLTiqAINRPxWRqrTJhgfkKcDOH\n",
"aaaba\nbaa`a\n",
"ZJR\nVaf\n",
"asmkjlkasdd\nasjlkjdadwi\n",
"AjQhPqSVhwQQjcgCycjKorWBgFCRuQBwgdVuAPSMJAvTyxGVuFHjfJzkKfsmfhFbKqFrFIohSZBbpjgEHebezmVlGLTPSCTMf\najBzykSnrlHhrjnjmAZrBKyDKVggBPAFOhTMHLjvpqslDxnUBaVHnGldCLLtaJxzTOzzWHbTbfAKvmUTkwOUCrFKmMnSuWxhX\n",
"HCIgYtnqcMyjVngziNflxKHtdTmcRJhzMAjFAsNdWXFJYEhiTzsQUtFNkAbdrFBRmvLirkuirqTDvIpEfyiIqkrwsjvpPWTEdI\nErqiiWKsmIjyZuzgTlTqxYZwlrpvRybVhRTOYUqtPMVGGtWOkDCOOQRKrkkRzPftyQCkYkzKkzTPqrXmeZhvvEEiEhkdOmoMvy\n",
"XId\nBcl\n",
"OjYwwNuPESIazoyLFREpObIaMKhCaKAMWMfRGgucEuyNYRantwcwQkmflzfqbcFRaXBnZoIUGsFqXZHGKwlaBUXABBcQEWWPvkjW\nRxLqGcTTpBwHrHltCOllnTpRKLDofBUqqHxnOtVWPgvGaeHIevgUSyeeDOJubfqonFpVNGVbHFcAhjnOFvrrqnRgKhkYqQZmRfUl\n",
"NmGX\npDPl\n",
"asasaedasd\nasdwasdawd\n",
"SajcCGMepaLjZIWLRBGFcrZRCRvvoCsIyKsQerbrwsIamxxpRmQSZSalasJLVFbCHCuXJlubciQAvLxXYBazLsMKLHLdDQ\nQdDLhLkmsLZAbyxxlVAQICbULjxUChCbFVLjSAlaSzSqMrPxwmaISwrBreQSkyIScOVVrCrzRcFgBrlWizJLapEmgCcJas\n",
"ycLoaqxsfsDTHMSfAAPIUpiEhQKUIXUcXEiopMBuuZLHtfPpLmCHwNMNQUwsEXxCEmKHTBSnKhtQhGWUvppUFZUgSpbeChX\ndCZhgVXofkGousCzObxZSJwXcHIaqUDSCPKzXntcVmPxtNcXmVcjsetZYxedmgQ{XTZHMvzjoaXCMKsncGciSDqQWIIRlys\n",
"RvuT\nEzJb\n",
"mtBeIYILXcECGyEVSyzLFdQJbiVnnfkbsYYsdUKSIRmyzLfTTtFwIBmRLVnwcewIqcuydkcLpflHAFyDaToLiFMgeHvQorTVbI\nClLvyejznjbRfCDcrCzkLvqQaGzTjwmWONBdCctJAPJBcQrcYvHaSLQgPIJbmkFBhFzuQLBiRzAdNHulCjIAkBvZxxlkdzUWLR\n",
"KhScXYhErQIUtmVhNTCXSLAviefIeHIIdiGhsYnPkSBaDTvMkyanfMLBOvDWgRybLtDqvXVdVjccNunDyijhhZEAKBrdz\nkHsCXyiErqIuTMVHNTCxSLaViEFIEhIIDiGHsYNpKsBAdTAMKyvNFMLBovdwGRYbLtdQVxvDVJCcNUndYiJHhzeakBrdZ\n",
"abaa\naaAa\n",
"abr\nbAz\n",
"abcdffg\nAbBdEfF\n",
"kigPrWNTOUNDBskAfefjhHYZNYdnfZWuXWzHiBxFQryBaAkPtenFwWUCSTYGpzOntvNzNUhxRWjKmicTwLwJAnbAxj\nJxABNAJWLWtcIMKjWrXHunznuTNozPGytScvwwfNetPkabbyRQFxbihZwXuWzfNDYnZYhhjFEFaKsBdNUOtnWRpgik\n"
],
"output": [
"0\n",
"-1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"0\n",
"0\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
114_B. PFAST Inc._37860 | When little Petya grew up and entered the university, he started to take part in АСМ contests. Later he realized that he doesn't like how the АСМ contests are organised: the team could only have three members (and he couldn't take all his friends to the competitions and distribute the tasks between the team members efficiently), so he decided to organize his own contests PFAST Inc. — Petr and Friends Are Solving Tasks Corporation. PFAST Inc. rules allow a team to have unlimited number of members.
To make this format of contests popular he organised his own tournament. To create the team he will prepare for the contest organised by the PFAST Inc. rules, he chose several volunteers (up to 16 people) and decided to compile a team from them. Petya understands perfectly that if a team has two people that don't get on well, then the team will perform poorly. Put together a team with as many players as possible given that all players should get on well with each other.
Input
The first line contains two integer numbers n (1 ≤ n ≤ 16) — the number of volunteers, and m (<image>) — the number of pairs that do not get on. Next n lines contain the volunteers' names (each name is a non-empty string consisting of no more than 10 uppercase and/or lowercase Latin letters). Next m lines contain two names — the names of the volunteers who do not get on. The names in pair are separated with a single space. Each pair of volunteers who do not get on occurs exactly once. The strings are case-sensitive. All n names are distinct.
Output
The first output line should contain the single number k — the number of people in the sought team. Next k lines should contain the names of the sought team's participants in the lexicographical order. If there are several variants to solve the problem, print any of them. Petya might not be a member of the sought team.
Examples
Input
3 1
Petya
Vasya
Masha
Petya Vasya
Output
2
Masha
Petya
Input
3 0
Pasha
Lesha
Vanya
Output
3
Lesha
Pasha
Vanya | n, m = map(int, raw_input().split())
names = []
for i in xrange(n):
names.append(raw_input())
matr = [[0 for i in xrange(n)] for j in xrange(n)]
for i in xrange(m):
t1, t2 = raw_input().split()
for j in xrange(n):
if t1 == names[j]:
t1 = j
if t2 == names[j]:
t2 = j
matr[t1][t2] = 1
matr[t2][t1] = 1
anz = [0 for i in xrange(n)]
gen = [0 for i in xrange(n)]
def check():
for i in xrange(n):
if (gen[i] == 1):
for j in xrange(n):
if matr[i][j] == 1 and gen[j] == 1:
return 0
return 1
def f(k):
if (k == n and check() == 1 and sum(gen) > sum(anz)):
for i in xrange(n):
anz[i] = gen[i]
return
elif (k == n):
return
for i in xrange(2):
gen[k] = i
f(k + 1)
f(0)
print sum(anz)
q = []
for i in xrange(n):
if (anz[i] == 1):
q.append(names[i])
q.sort()
for j in q:
print j | 1Python2
| {
"input": [
"3 0\nPasha\nLesha\nVanya\n",
"3 1\nPetya\nVasya\nMasha\nPetya Vasya\n",
"7 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nMariana\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"7 6\nj\nZ\nPZNeTyY\nm\na\nUj\nsuaaSiKcK\nUj PZNeTyY\na j\nPZNeTyY Z\nPZNeTyY j\nm PZNeTyY\nm j\n",
"15 3\na\nYclKFJoaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"8 6\nU\nC\nPEElYwaxf\nVubTXNI\nJ\nIxZUHV\nhLNFnzmqFE\nDPPvwuWvmA\nhLNFnzmqFE IxZUHV\nIxZUHV C\nJ PEElYwaxf\nIxZUHV PEElYwaxf\nPEElYwaxf C\nJ VubTXNI\n",
"2 0\nAndrey\nTaras\n",
"4 2\nadQx\nrJGeodBycK\ntgPYZk\ncz\ncz tgPYZk\nrJGeodBycK adQx\n",
"16 37\ntIWi\nq\nIEAYCq\nXozwkum\nCC\niPwfd\nS\nXEf\nWqEiwkH\nWX\ne\nltmruh\nKGx\nauTUYZRC\nmeJa\nM\nmeJa q\nKGx e\nXEf Xozwkum\ne q\nauTUYZRC KGx\ne CC\nM CC\nM meJa\nWX CC\nWqEiwkH IEAYCq\nauTUYZRC WqEiwkH\nKGx WX\nmeJa KGx\nXEf q\nauTUYZRC XEf\nauTUYZRC IEAYCq\nWX XEf\nM XEf\nWqEiwkH q\nM KGx\nKGx CC\nM e\nWqEiwkH Xozwkum\nCC q\nS Xozwkum\nKGx tIWi\nWX q\nXEf S\nauTUYZRC S\nCC IEAYCq\nKGx IEAYCq\ne WqEiwkH\nM S\nauTUYZRC q\nS tIWi\nM ltmruh\nM iPwfd\n",
"16 11\ntulhZxeKgo\nbrAXY\nyQUkaihDAg\nmwjlDVaktK\nweVtBIP\nzRwb\nds\nhXPfJrL\nAdIfP\nazQeXn\nB\nJlmscIUOxO\nZuxr\nV\nOfyLIUO\nuaMl\nhXPfJrL yQUkaihDAg\nweVtBIP yQUkaihDAg\nazQeXn hXPfJrL\nV tulhZxeKgo\nzRwb yQUkaihDAg\nds mwjlDVaktK\nzRwb brAXY\nyQUkaihDAg brAXY\nB yQUkaihDAg\nAdIfP mwjlDVaktK\nbrAXY tulhZxeKgo\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXWOt\nulBD qqjgF\n",
"5 1\nWEYUdpYmZp\nfhNmMpjr\nydARivBg\ncilTtE\nyeXxkhPzB\nyeXxkhPzB cilTtE\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nTngcmS\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"15 8\ncXeOANpvBF\nbkeDfi\nnsEUAKNxQI\noSIb\naU\nXYXYVo\nduZQ\naPkr\nPVrHpL\nmVgmv\nhHhukllwbf\nGkNPGYVxjY\nbgBjA\nslNKCLIlOv\nmPILXy\nbgBjA cXeOANpvBF\nGkNPGYVxjY cXeOANpvBF\nslNKCLIlOv GkNPGYVxjY\nGkNPGYVxjY mVgmv\nXYXYVo cXeOANpvBF\nslNKCLIlOv bkeDfi\nmVgmv aPkr\nslNKCLIlOv nsEUAKNxQI\n",
"8 12\nBkgxqAF\nKhq\nNpIfk\nkheqUyDVG\niRBkHlRpp\nZDaQY\nNG\nqN\nqN BkgxqAF\nNpIfk BkgxqAF\niRBkHlRpp BkgxqAF\niRBkHlRpp NpIfk\nNG Khq\niRBkHlRpp Khq\nNG ZDaQY\nNG iRBkHlRpp\nNG NpIfk\nqN Khq\nZDaQY kheqUyDVG\nNpIfk Khq\n",
"7 12\nPasha\nLesha\nVanya\nTaras\nNikita\nSergey\nAndrey\nPasha Taras\nPasha Nikita\nPasha Andrey\nPasha Sergey\nLesha Taras\nLesha Nikita\nLesha Andrey\nLesha Sergey\nVanya Taras\nVanya Nikita\nVanya Andrey\nVanya Sergey\n",
"3 0\nr\nyVwqs\nsdTDerOyhp\n",
"7 14\nFXCT\nn\no\nS\nMdFuonu\nmszv\nbqScOCw\nS o\nbqScOCw FXCT\nMdFuonu o\no n\nbqScOCw n\nmszv S\nbqScOCw MdFuonu\nmszv n\nS FXCT\nbqScOCw o\no FXCT\nmszv MdFuonu\nmszv FXCT\nbqScOCw mszv\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nVG\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"5 2\niBrgNFlNXd\nlnGPIV\nnb\nB\nVgqRcEOG\nlnGPIV iBrgNFlNXd\nB iBrgNFlNXd\n",
"2 1\ncLWdg\nGoWegdDRp\nGoWegdDRp cLWdg\n",
"9 14\nmoRNeufngu\nBSKI\nzXl\ngwmIDluW\nYFn\nHvasEgl\nXcAC\neVP\nAiOm\neVP BSKI\neVP YFn\nHvasEgl YFn\neVP XcAC\nAiOm HvasEgl\nXcAC YFn\nzXl moRNeufngu\neVP zXl\nHvasEgl BSKI\nXcAC gwmIDluW\nXcAC HvasEgl\nYFn moRNeufngu\nzXl BSKI\nHvasEgl gwmIDluW\n",
"12 12\njWuGgOjV\nWs\njTZQMyH\nULp\nUfsnPRt\nk\nbPKrnP\nW\nJOaQdgglDG\nAodc\ncpRjAUyYIW\nMrjB\nbPKrnP ULp\nk Ws\ncpRjAUyYIW k\nULp jTZQMyH\nbPKrnP jWuGgOjV\ncpRjAUyYIW jTZQMyH\nW ULp\nk jTZQMyH\nk ULp\nMrjB ULp\ncpRjAUyYIW Aodc\nW k\n",
"16 25\nbBZ\nEr\nZ\nrYJmfZLgmx\nPaJNrF\naHtRqSxOO\nD\nhsagsG\nMDuBOXrmWH\nSgjMQZ\nYXgWq\nxDwpppG\nSDY\nJwZWx\ncOzrgrBaE\nFJYX\nYXgWq SgjMQZ\nSDY PaJNrF\nFJYX rYJmfZLgmx\nhsagsG Er\nxDwpppG rYJmfZLgmx\naHtRqSxOO rYJmfZLgmx\nhsagsG bBZ\nJwZWx hsagsG\nFJYX cOzrgrBaE\nSDY YXgWq\nFJYX Z\nJwZWx rYJmfZLgmx\nD rYJmfZLgmx\nYXgWq Z\nrYJmfZLgmx Z\naHtRqSxOO bBZ\nSDY rYJmfZLgmx\ncOzrgrBaE D\nYXgWq hsagsG\nSDY aHtRqSxOO\ncOzrgrBaE xDwpppG\nSDY bBZ\nSDY Er\nJwZWx xDwpppG\nFJYX JwZWx\n",
"9 13\nYiUXqlBUx\nQNgYuX\ndPtyZ\nITtwRJCv\nLJ\nrAG\nOgxNq\nsitechE\nvVAAz\nOgxNq QNgYuX\nOgxNq dPtyZ\nsitechE rAG\nLJ QNgYuX\nQNgYuX YiUXqlBUx\nOgxNq LJ\nvVAAz OgxNq\nrAG dPtyZ\nvVAAz LJ\nvVAAz ITtwRJCv\nsitechE LJ\nrAG YiUXqlBUx\nsitechE QNgYuX\n",
"3 3\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"11 13\ncZAMfd\nSWQnweM\nKlQW\nWRsnNZT\nix\nUC\nLWqsVHcWec\nfeb\ncBy\ntvk\nRXDlX\nfeb SWQnweM\ncBy WRsnNZT\nLWqsVHcWec KlQW\nRXDlX feb\nLWqsVHcWec cZAMfd\ncBy UC\nWRsnNZT SWQnweM\nRXDlX cBy\ntvk UC\ncBy SWQnweM\nUC KlQW\nRXDlX KlQW\nUC WRsnNZT\n",
"2 0\nNgzlPJgFgz\nQfpagVpWz\n",
"16 11\njA\nkyRNTE\neY\nToLcqN\nbnenhMxiK\nzlkOe\nXCKZ\neaQrds\nqUdInpi\nKgPQA\nmQIl\ninOCWEZHxy\nyA\nPIZRMOu\nXtueKFM\nfRNwNn\ninOCWEZHxy qUdInpi\nKgPQA zlkOe\ninOCWEZHxy KgPQA\nfRNwNn XCKZ\ninOCWEZHxy eY\nyA mQIl\ninOCWEZHxy ToLcqN\nyA KgPQA\nqUdInpi ToLcqN\nqUdInpi eaQrds\nPIZRMOu eY\n",
"4 2\noVemoZhjW\nHspFEry\nhFO\njxt\nhFO HspFEry\njxt oVemoZhjW\n",
"5 10\nTaras\nNikita\nSergey\nAndrey\nRomka\nTaras Romka\nTaras Nikita\nTaras Sergey\nTaras Andrey\nRomka Nikita\nRomka Sergey\nRomka Andrey\nNikita Sergey\nNikita Andrey\nSergey Andrey\n",
"6 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPetr\n",
"6 9\noySkmhCD\nUIKWj\nmHolKkBx\nQBikssqz\nZ\nzoFUJYa\nZ UIKWj\nQBikssqz oySkmhCD\nQBikssqz UIKWj\nZ oySkmhCD\nzoFUJYa UIKWj\nzoFUJYa Z\nzoFUJYa mHolKkBx\nzoFUJYa QBikssqz\nQBikssqz mHolKkBx\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJuo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"15 3\na\nYcJKFloaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"2 0\nAndrey\nTar`s\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nSmcgnT\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"3 0\nr\nyVwqs\nphyOreDTds\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nGV\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nAnmSVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"2 0\nNgzlPJzFgg\nQfpagVpWz\n",
"1 0\nePtr\n",
"2 0\nAodrey\nTar`s\n",
"3 0\nr\nzVwqs\nsdTDerOyhp\n",
"1 0\nrPte\n",
"3 0\ns\nzVwqs\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTaras\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXXOt\nulBD qqjgF\n",
"3 0\ns\nyVwqs\nsdTDerOyhp\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWBxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"3 2\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"6 6\nAlena\nOlya\nVanya\nBrvs\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPdtr\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJvo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"3 0\nPasha\nLeshb\nVanya\n",
"3 0\nr\nyVxqs\nphyOreDTds\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"1 0\nrtPe\n",
"2 0\nAodsey\nTar`s\n",
"3 0\nr\nzVwqs\nphyOreDTds\n",
"1 0\nrOte\n",
"3 0\nt\nzVwqs\nsdTDerOyhp\n",
"2 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTarar\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbWXOt\nulBD qqjgF\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdts\n",
"3 0\nPasha\nbhseL\nVanya\n",
"3 0\nr\nyVqxs\nphyOreDTds\n",
"1 0\nrtPd\n",
"3 0\nr\nzVwqs\nseTDdrOyhp\n",
"1 0\nAnerey\nTarar\n",
"16 0\nTaras\nNikita\nSergey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdss\n",
"1 0\nPasha\nbhseL\nVanya\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"3 0\nq\nzVwqs\nseTDdrOyhp\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPssd\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nsaPha\nbhseL\naynaV\n",
"16 0\nTaras\nNikita\nSerfey\nAerdny\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"2 0\ns\nzVqws\nTdrDesOyhp\n",
"1 0\nPasha\nbhseL\naynaV\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrut\nJohn\nAlice\n"
],
"output": [
"3\nLesha\nPasha\nVanya\n",
"2\nMasha\nPetya\n",
"5\nAlena\nBrus\nMariana\nOlya\nVanya\n",
"5\nUj\nZ\na\nm\nsuaaSiKcK\n",
"13\nMC\nTAU\nVDLb\nYclKFJoaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"5\nC\nDPPvwuWvmA\nU\nVubTXNI\nhLNFnzmqFE\n",
"2\nAndrey\nTaras\n",
"2\nadQx\ntgPYZk\n",
"8\nIEAYCq\nWX\nXozwkum\ne\niPwfd\nltmruh\nmeJa\ntIWi\n",
"11\nAdIfP\nB\nJlmscIUOxO\nOfyLIUO\nZuxr\nds\nhXPfJrL\ntulhZxeKgo\nuaMl\nweVtBIP\nzRwb\n",
"5\nCOzbXWOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"4\nWEYUdpYmZp\ncilTtE\nfhNmMpjr\nydARivBg\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nTGF\nTngcmS\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"12\nGkNPGYVxjY\nPVrHpL\nXYXYVo\naPkr\naU\nbgBjA\nbkeDfi\nduZQ\nhHhukllwbf\nmPILXy\nnsEUAKNxQI\noSIb\n",
"3\nBkgxqAF\nKhq\nkheqUyDVG\n",
"4\nAndrey\nNikita\nSergey\nTaras\n",
"3\nr\nsdTDerOyhp\nyVwqs\n",
"3\nFXCT\nMdFuonu\nn\n",
"7\nCaAlbwoIL\nEQPcotnrp\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nVG\nfLfek\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\n",
"7\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"4\nB\nVgqRcEOG\nlnGPIV\nnb\n",
"1\ncLWdg\n",
"4\nAiOm\nBSKI\ngwmIDluW\nmoRNeufngu\n",
"8\nAodc\nJOaQdgglDG\nMrjB\nUfsnPRt\nW\nWs\njTZQMyH\njWuGgOjV\n",
"8\nD\nEr\nMDuBOXrmWH\nPaJNrF\nSgjMQZ\nZ\nbBZ\nxDwpppG\n",
"4\nITtwRJCv\nLJ\nYiUXqlBUx\ndPtyZ\n",
"1\nvRVatwL\n",
"6\nKlQW\nWRsnNZT\ncZAMfd\nfeb\nix\ntvk\n",
"2\nNgzlPJgFgz\nQfpagVpWz\n",
"10\nToLcqN\nXCKZ\nXtueKFM\nbnenhMxiK\neY\neaQrds\njA\nkyRNTE\nmQIl\nzlkOe\n",
"2\nHspFEry\noVemoZhjW\n",
"1\nTaras\n",
"4\nAlena\nBrus\nOlya\nVanya\n",
"1\nPetr\n",
"3\nUIKWj\nmHolKkBx\noySkmhCD\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJuo\n",
"13\nMC\nTAU\nVDLb\nYcJKFloaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"2\nAndrey\nTar`s\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nSmcgnT\nTGF\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"3\nphyOreDTds\nr\nyVwqs\n",
"7\nCaAlbwoIL\nEQPcotnrp\nGV\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nfLfek\n",
"16\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nanelA\n",
"7\nAnmSVEQI\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\ntZHzWGAvXc\n",
"2\nNgzlPJzFgg\nQfpagVpWz\n",
"1\nePtr\n",
"2\nAodrey\nTar`s\n",
"3\nr\nsdTDerOyhp\nzVwqs\n",
"1\nrPte\n",
"3\ns\nsdTDerOyhp\nzVwqs\n",
"3\ns\nsdTDerOyhp\nzVqws\n",
"3\nrdTDesOyhp\ns\nzVqws\n",
"2\nAnerey\nTaras\n",
"5\nCOzbXXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"3\ns\nsdTDerOyhp\nyVwqs\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nsineD\n",
"7\nBeaCYhIRLy\nRFiow\nVWBxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"2\nWmkUGiYEn\nuvvsXKXcJ\n",
"4\nAlena\nBrvs\nOlya\nVanya\n",
"1\nPdtr\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJvo\n",
"3\nLeshb\nPasha\nVanya\n",
"3\nphyOreDTds\nr\nyVxqs\n",
"3\nNikita\nSergey\nTaras\n",
"1\nrtPe\n",
"2\nAodsey\nTar`s\n",
"3\nphyOreDTds\nr\nzVwqs\n",
"1\nrOte\n",
"3\nsdTDerOyhp\nt\nzVwqs\n",
"2\ns\nzVqws\n",
"2\nAnerey\nTarar\n",
"5\nCOzbWXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\n",
"1\nPdts\n",
"3\nPasha\nVanya\nbhseL\n",
"3\nphyOreDTds\nr\nyVqxs\n",
"1\nrtPd\n",
"3\nr\nseTDdrOyhp\nzVwqs\n",
"1\nAnerey\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPdss\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n",
"3\nq\nseTDdrOyhp\nzVwqs\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPssd\n",
"16\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\nyndreA\n",
"1\nsaPha\n",
"16\nAerdny\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\n",
"3\nNikita\nSergey\nTaras\n",
"2\ns\nzVqws\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n"
]
} | 2CODEFORCES
|
114_B. PFAST Inc._37861 | When little Petya grew up and entered the university, he started to take part in АСМ contests. Later he realized that he doesn't like how the АСМ contests are organised: the team could only have three members (and he couldn't take all his friends to the competitions and distribute the tasks between the team members efficiently), so he decided to organize his own contests PFAST Inc. — Petr and Friends Are Solving Tasks Corporation. PFAST Inc. rules allow a team to have unlimited number of members.
To make this format of contests popular he organised his own tournament. To create the team he will prepare for the contest organised by the PFAST Inc. rules, he chose several volunteers (up to 16 people) and decided to compile a team from them. Petya understands perfectly that if a team has two people that don't get on well, then the team will perform poorly. Put together a team with as many players as possible given that all players should get on well with each other.
Input
The first line contains two integer numbers n (1 ≤ n ≤ 16) — the number of volunteers, and m (<image>) — the number of pairs that do not get on. Next n lines contain the volunteers' names (each name is a non-empty string consisting of no more than 10 uppercase and/or lowercase Latin letters). Next m lines contain two names — the names of the volunteers who do not get on. The names in pair are separated with a single space. Each pair of volunteers who do not get on occurs exactly once. The strings are case-sensitive. All n names are distinct.
Output
The first output line should contain the single number k — the number of people in the sought team. Next k lines should contain the names of the sought team's participants in the lexicographical order. If there are several variants to solve the problem, print any of them. Petya might not be a member of the sought team.
Examples
Input
3 1
Petya
Vasya
Masha
Petya Vasya
Output
2
Masha
Petya
Input
3 0
Pasha
Lesha
Vanya
Output
3
Lesha
Pasha
Vanya | #include <bits/stdc++.h>
using namespace std;
long long int MOD = (1e9) + 7;
inline void fastIO() {
ios_base::sync_with_stdio(0);
cin.tie(0);
}
int main() {
fastIO();
int n, k, ans = 0;
cin >> n >> k;
map<pair<string, string>, int> has;
vector<string> fin(n);
vector<string> input(n);
for (int i = 0; i < n; i++) {
cin >> input[i];
}
for (int i = 0; i < k; i++) {
string a, b;
cin >> a >> b;
has[make_pair(a, b)] = 1;
has[make_pair(b, a)] = 1;
}
for (int i = 0; i <= pow(2, n); i++) {
bool valid = true;
int cnt = 0;
vector<string> temp;
for (int j = 0; j < n; j++) {
if ((i & (1 << j)) != 0) {
cnt++;
temp.push_back(input[j]);
for (int k = 0; k < n; k++) {
if ((i & (1 << k)) != 0) {
if (has[make_pair(input[k], input[j])]) {
valid = false;
}
}
}
}
}
if (valid && cnt > ans) {
for (int k = 0; k < temp.size(); k++) {
fin[k] = temp[k];
}
ans = cnt;
}
}
cout << ans << endl;
sort(fin.begin(), fin.end());
for (int i = 0; i < fin.size(); i++) {
if (fin[i] != "") {
cout << fin[i] << endl;
}
}
}
| 2C++
| {
"input": [
"3 0\nPasha\nLesha\nVanya\n",
"3 1\nPetya\nVasya\nMasha\nPetya Vasya\n",
"7 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nMariana\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"7 6\nj\nZ\nPZNeTyY\nm\na\nUj\nsuaaSiKcK\nUj PZNeTyY\na j\nPZNeTyY Z\nPZNeTyY j\nm PZNeTyY\nm j\n",
"15 3\na\nYclKFJoaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"8 6\nU\nC\nPEElYwaxf\nVubTXNI\nJ\nIxZUHV\nhLNFnzmqFE\nDPPvwuWvmA\nhLNFnzmqFE IxZUHV\nIxZUHV C\nJ PEElYwaxf\nIxZUHV PEElYwaxf\nPEElYwaxf C\nJ VubTXNI\n",
"2 0\nAndrey\nTaras\n",
"4 2\nadQx\nrJGeodBycK\ntgPYZk\ncz\ncz tgPYZk\nrJGeodBycK adQx\n",
"16 37\ntIWi\nq\nIEAYCq\nXozwkum\nCC\niPwfd\nS\nXEf\nWqEiwkH\nWX\ne\nltmruh\nKGx\nauTUYZRC\nmeJa\nM\nmeJa q\nKGx e\nXEf Xozwkum\ne q\nauTUYZRC KGx\ne CC\nM CC\nM meJa\nWX CC\nWqEiwkH IEAYCq\nauTUYZRC WqEiwkH\nKGx WX\nmeJa KGx\nXEf q\nauTUYZRC XEf\nauTUYZRC IEAYCq\nWX XEf\nM XEf\nWqEiwkH q\nM KGx\nKGx CC\nM e\nWqEiwkH Xozwkum\nCC q\nS Xozwkum\nKGx tIWi\nWX q\nXEf S\nauTUYZRC S\nCC IEAYCq\nKGx IEAYCq\ne WqEiwkH\nM S\nauTUYZRC q\nS tIWi\nM ltmruh\nM iPwfd\n",
"16 11\ntulhZxeKgo\nbrAXY\nyQUkaihDAg\nmwjlDVaktK\nweVtBIP\nzRwb\nds\nhXPfJrL\nAdIfP\nazQeXn\nB\nJlmscIUOxO\nZuxr\nV\nOfyLIUO\nuaMl\nhXPfJrL yQUkaihDAg\nweVtBIP yQUkaihDAg\nazQeXn hXPfJrL\nV tulhZxeKgo\nzRwb yQUkaihDAg\nds mwjlDVaktK\nzRwb brAXY\nyQUkaihDAg brAXY\nB yQUkaihDAg\nAdIfP mwjlDVaktK\nbrAXY tulhZxeKgo\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXWOt\nulBD qqjgF\n",
"5 1\nWEYUdpYmZp\nfhNmMpjr\nydARivBg\ncilTtE\nyeXxkhPzB\nyeXxkhPzB cilTtE\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nTngcmS\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"15 8\ncXeOANpvBF\nbkeDfi\nnsEUAKNxQI\noSIb\naU\nXYXYVo\nduZQ\naPkr\nPVrHpL\nmVgmv\nhHhukllwbf\nGkNPGYVxjY\nbgBjA\nslNKCLIlOv\nmPILXy\nbgBjA cXeOANpvBF\nGkNPGYVxjY cXeOANpvBF\nslNKCLIlOv GkNPGYVxjY\nGkNPGYVxjY mVgmv\nXYXYVo cXeOANpvBF\nslNKCLIlOv bkeDfi\nmVgmv aPkr\nslNKCLIlOv nsEUAKNxQI\n",
"8 12\nBkgxqAF\nKhq\nNpIfk\nkheqUyDVG\niRBkHlRpp\nZDaQY\nNG\nqN\nqN BkgxqAF\nNpIfk BkgxqAF\niRBkHlRpp BkgxqAF\niRBkHlRpp NpIfk\nNG Khq\niRBkHlRpp Khq\nNG ZDaQY\nNG iRBkHlRpp\nNG NpIfk\nqN Khq\nZDaQY kheqUyDVG\nNpIfk Khq\n",
"7 12\nPasha\nLesha\nVanya\nTaras\nNikita\nSergey\nAndrey\nPasha Taras\nPasha Nikita\nPasha Andrey\nPasha Sergey\nLesha Taras\nLesha Nikita\nLesha Andrey\nLesha Sergey\nVanya Taras\nVanya Nikita\nVanya Andrey\nVanya Sergey\n",
"3 0\nr\nyVwqs\nsdTDerOyhp\n",
"7 14\nFXCT\nn\no\nS\nMdFuonu\nmszv\nbqScOCw\nS o\nbqScOCw FXCT\nMdFuonu o\no n\nbqScOCw n\nmszv S\nbqScOCw MdFuonu\nmszv n\nS FXCT\nbqScOCw o\no FXCT\nmszv MdFuonu\nmszv FXCT\nbqScOCw mszv\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nVG\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"5 2\niBrgNFlNXd\nlnGPIV\nnb\nB\nVgqRcEOG\nlnGPIV iBrgNFlNXd\nB iBrgNFlNXd\n",
"2 1\ncLWdg\nGoWegdDRp\nGoWegdDRp cLWdg\n",
"9 14\nmoRNeufngu\nBSKI\nzXl\ngwmIDluW\nYFn\nHvasEgl\nXcAC\neVP\nAiOm\neVP BSKI\neVP YFn\nHvasEgl YFn\neVP XcAC\nAiOm HvasEgl\nXcAC YFn\nzXl moRNeufngu\neVP zXl\nHvasEgl BSKI\nXcAC gwmIDluW\nXcAC HvasEgl\nYFn moRNeufngu\nzXl BSKI\nHvasEgl gwmIDluW\n",
"12 12\njWuGgOjV\nWs\njTZQMyH\nULp\nUfsnPRt\nk\nbPKrnP\nW\nJOaQdgglDG\nAodc\ncpRjAUyYIW\nMrjB\nbPKrnP ULp\nk Ws\ncpRjAUyYIW k\nULp jTZQMyH\nbPKrnP jWuGgOjV\ncpRjAUyYIW jTZQMyH\nW ULp\nk jTZQMyH\nk ULp\nMrjB ULp\ncpRjAUyYIW Aodc\nW k\n",
"16 25\nbBZ\nEr\nZ\nrYJmfZLgmx\nPaJNrF\naHtRqSxOO\nD\nhsagsG\nMDuBOXrmWH\nSgjMQZ\nYXgWq\nxDwpppG\nSDY\nJwZWx\ncOzrgrBaE\nFJYX\nYXgWq SgjMQZ\nSDY PaJNrF\nFJYX rYJmfZLgmx\nhsagsG Er\nxDwpppG rYJmfZLgmx\naHtRqSxOO rYJmfZLgmx\nhsagsG bBZ\nJwZWx hsagsG\nFJYX cOzrgrBaE\nSDY YXgWq\nFJYX Z\nJwZWx rYJmfZLgmx\nD rYJmfZLgmx\nYXgWq Z\nrYJmfZLgmx Z\naHtRqSxOO bBZ\nSDY rYJmfZLgmx\ncOzrgrBaE D\nYXgWq hsagsG\nSDY aHtRqSxOO\ncOzrgrBaE xDwpppG\nSDY bBZ\nSDY Er\nJwZWx xDwpppG\nFJYX JwZWx\n",
"9 13\nYiUXqlBUx\nQNgYuX\ndPtyZ\nITtwRJCv\nLJ\nrAG\nOgxNq\nsitechE\nvVAAz\nOgxNq QNgYuX\nOgxNq dPtyZ\nsitechE rAG\nLJ QNgYuX\nQNgYuX YiUXqlBUx\nOgxNq LJ\nvVAAz OgxNq\nrAG dPtyZ\nvVAAz LJ\nvVAAz ITtwRJCv\nsitechE LJ\nrAG YiUXqlBUx\nsitechE QNgYuX\n",
"3 3\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"11 13\ncZAMfd\nSWQnweM\nKlQW\nWRsnNZT\nix\nUC\nLWqsVHcWec\nfeb\ncBy\ntvk\nRXDlX\nfeb SWQnweM\ncBy WRsnNZT\nLWqsVHcWec KlQW\nRXDlX feb\nLWqsVHcWec cZAMfd\ncBy UC\nWRsnNZT SWQnweM\nRXDlX cBy\ntvk UC\ncBy SWQnweM\nUC KlQW\nRXDlX KlQW\nUC WRsnNZT\n",
"2 0\nNgzlPJgFgz\nQfpagVpWz\n",
"16 11\njA\nkyRNTE\neY\nToLcqN\nbnenhMxiK\nzlkOe\nXCKZ\neaQrds\nqUdInpi\nKgPQA\nmQIl\ninOCWEZHxy\nyA\nPIZRMOu\nXtueKFM\nfRNwNn\ninOCWEZHxy qUdInpi\nKgPQA zlkOe\ninOCWEZHxy KgPQA\nfRNwNn XCKZ\ninOCWEZHxy eY\nyA mQIl\ninOCWEZHxy ToLcqN\nyA KgPQA\nqUdInpi ToLcqN\nqUdInpi eaQrds\nPIZRMOu eY\n",
"4 2\noVemoZhjW\nHspFEry\nhFO\njxt\nhFO HspFEry\njxt oVemoZhjW\n",
"5 10\nTaras\nNikita\nSergey\nAndrey\nRomka\nTaras Romka\nTaras Nikita\nTaras Sergey\nTaras Andrey\nRomka Nikita\nRomka Sergey\nRomka Andrey\nNikita Sergey\nNikita Andrey\nSergey Andrey\n",
"6 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPetr\n",
"6 9\noySkmhCD\nUIKWj\nmHolKkBx\nQBikssqz\nZ\nzoFUJYa\nZ UIKWj\nQBikssqz oySkmhCD\nQBikssqz UIKWj\nZ oySkmhCD\nzoFUJYa UIKWj\nzoFUJYa Z\nzoFUJYa mHolKkBx\nzoFUJYa QBikssqz\nQBikssqz mHolKkBx\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJuo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"15 3\na\nYcJKFloaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"2 0\nAndrey\nTar`s\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nSmcgnT\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"3 0\nr\nyVwqs\nphyOreDTds\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nGV\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nAnmSVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"2 0\nNgzlPJzFgg\nQfpagVpWz\n",
"1 0\nePtr\n",
"2 0\nAodrey\nTar`s\n",
"3 0\nr\nzVwqs\nsdTDerOyhp\n",
"1 0\nrPte\n",
"3 0\ns\nzVwqs\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTaras\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXXOt\nulBD qqjgF\n",
"3 0\ns\nyVwqs\nsdTDerOyhp\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWBxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"3 2\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"6 6\nAlena\nOlya\nVanya\nBrvs\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPdtr\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJvo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"3 0\nPasha\nLeshb\nVanya\n",
"3 0\nr\nyVxqs\nphyOreDTds\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"1 0\nrtPe\n",
"2 0\nAodsey\nTar`s\n",
"3 0\nr\nzVwqs\nphyOreDTds\n",
"1 0\nrOte\n",
"3 0\nt\nzVwqs\nsdTDerOyhp\n",
"2 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTarar\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbWXOt\nulBD qqjgF\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdts\n",
"3 0\nPasha\nbhseL\nVanya\n",
"3 0\nr\nyVqxs\nphyOreDTds\n",
"1 0\nrtPd\n",
"3 0\nr\nzVwqs\nseTDdrOyhp\n",
"1 0\nAnerey\nTarar\n",
"16 0\nTaras\nNikita\nSergey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdss\n",
"1 0\nPasha\nbhseL\nVanya\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"3 0\nq\nzVwqs\nseTDdrOyhp\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPssd\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nsaPha\nbhseL\naynaV\n",
"16 0\nTaras\nNikita\nSerfey\nAerdny\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"2 0\ns\nzVqws\nTdrDesOyhp\n",
"1 0\nPasha\nbhseL\naynaV\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrut\nJohn\nAlice\n"
],
"output": [
"3\nLesha\nPasha\nVanya\n",
"2\nMasha\nPetya\n",
"5\nAlena\nBrus\nMariana\nOlya\nVanya\n",
"5\nUj\nZ\na\nm\nsuaaSiKcK\n",
"13\nMC\nTAU\nVDLb\nYclKFJoaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"5\nC\nDPPvwuWvmA\nU\nVubTXNI\nhLNFnzmqFE\n",
"2\nAndrey\nTaras\n",
"2\nadQx\ntgPYZk\n",
"8\nIEAYCq\nWX\nXozwkum\ne\niPwfd\nltmruh\nmeJa\ntIWi\n",
"11\nAdIfP\nB\nJlmscIUOxO\nOfyLIUO\nZuxr\nds\nhXPfJrL\ntulhZxeKgo\nuaMl\nweVtBIP\nzRwb\n",
"5\nCOzbXWOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"4\nWEYUdpYmZp\ncilTtE\nfhNmMpjr\nydARivBg\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nTGF\nTngcmS\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"12\nGkNPGYVxjY\nPVrHpL\nXYXYVo\naPkr\naU\nbgBjA\nbkeDfi\nduZQ\nhHhukllwbf\nmPILXy\nnsEUAKNxQI\noSIb\n",
"3\nBkgxqAF\nKhq\nkheqUyDVG\n",
"4\nAndrey\nNikita\nSergey\nTaras\n",
"3\nr\nsdTDerOyhp\nyVwqs\n",
"3\nFXCT\nMdFuonu\nn\n",
"7\nCaAlbwoIL\nEQPcotnrp\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nVG\nfLfek\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\n",
"7\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"4\nB\nVgqRcEOG\nlnGPIV\nnb\n",
"1\ncLWdg\n",
"4\nAiOm\nBSKI\ngwmIDluW\nmoRNeufngu\n",
"8\nAodc\nJOaQdgglDG\nMrjB\nUfsnPRt\nW\nWs\njTZQMyH\njWuGgOjV\n",
"8\nD\nEr\nMDuBOXrmWH\nPaJNrF\nSgjMQZ\nZ\nbBZ\nxDwpppG\n",
"4\nITtwRJCv\nLJ\nYiUXqlBUx\ndPtyZ\n",
"1\nvRVatwL\n",
"6\nKlQW\nWRsnNZT\ncZAMfd\nfeb\nix\ntvk\n",
"2\nNgzlPJgFgz\nQfpagVpWz\n",
"10\nToLcqN\nXCKZ\nXtueKFM\nbnenhMxiK\neY\neaQrds\njA\nkyRNTE\nmQIl\nzlkOe\n",
"2\nHspFEry\noVemoZhjW\n",
"1\nTaras\n",
"4\nAlena\nBrus\nOlya\nVanya\n",
"1\nPetr\n",
"3\nUIKWj\nmHolKkBx\noySkmhCD\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJuo\n",
"13\nMC\nTAU\nVDLb\nYcJKFloaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"2\nAndrey\nTar`s\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nSmcgnT\nTGF\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"3\nphyOreDTds\nr\nyVwqs\n",
"7\nCaAlbwoIL\nEQPcotnrp\nGV\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nfLfek\n",
"16\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nanelA\n",
"7\nAnmSVEQI\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\ntZHzWGAvXc\n",
"2\nNgzlPJzFgg\nQfpagVpWz\n",
"1\nePtr\n",
"2\nAodrey\nTar`s\n",
"3\nr\nsdTDerOyhp\nzVwqs\n",
"1\nrPte\n",
"3\ns\nsdTDerOyhp\nzVwqs\n",
"3\ns\nsdTDerOyhp\nzVqws\n",
"3\nrdTDesOyhp\ns\nzVqws\n",
"2\nAnerey\nTaras\n",
"5\nCOzbXXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"3\ns\nsdTDerOyhp\nyVwqs\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nsineD\n",
"7\nBeaCYhIRLy\nRFiow\nVWBxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"2\nWmkUGiYEn\nuvvsXKXcJ\n",
"4\nAlena\nBrvs\nOlya\nVanya\n",
"1\nPdtr\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJvo\n",
"3\nLeshb\nPasha\nVanya\n",
"3\nphyOreDTds\nr\nyVxqs\n",
"3\nNikita\nSergey\nTaras\n",
"1\nrtPe\n",
"2\nAodsey\nTar`s\n",
"3\nphyOreDTds\nr\nzVwqs\n",
"1\nrOte\n",
"3\nsdTDerOyhp\nt\nzVwqs\n",
"2\ns\nzVqws\n",
"2\nAnerey\nTarar\n",
"5\nCOzbWXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\n",
"1\nPdts\n",
"3\nPasha\nVanya\nbhseL\n",
"3\nphyOreDTds\nr\nyVqxs\n",
"1\nrtPd\n",
"3\nr\nseTDdrOyhp\nzVwqs\n",
"1\nAnerey\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPdss\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n",
"3\nq\nseTDdrOyhp\nzVwqs\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPssd\n",
"16\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\nyndreA\n",
"1\nsaPha\n",
"16\nAerdny\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\n",
"3\nNikita\nSergey\nTaras\n",
"2\ns\nzVqws\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n"
]
} | 2CODEFORCES
|
114_B. PFAST Inc._37862 | When little Petya grew up and entered the university, he started to take part in АСМ contests. Later he realized that he doesn't like how the АСМ contests are organised: the team could only have three members (and he couldn't take all his friends to the competitions and distribute the tasks between the team members efficiently), so he decided to organize his own contests PFAST Inc. — Petr and Friends Are Solving Tasks Corporation. PFAST Inc. rules allow a team to have unlimited number of members.
To make this format of contests popular he organised his own tournament. To create the team he will prepare for the contest organised by the PFAST Inc. rules, he chose several volunteers (up to 16 people) and decided to compile a team from them. Petya understands perfectly that if a team has two people that don't get on well, then the team will perform poorly. Put together a team with as many players as possible given that all players should get on well with each other.
Input
The first line contains two integer numbers n (1 ≤ n ≤ 16) — the number of volunteers, and m (<image>) — the number of pairs that do not get on. Next n lines contain the volunteers' names (each name is a non-empty string consisting of no more than 10 uppercase and/or lowercase Latin letters). Next m lines contain two names — the names of the volunteers who do not get on. The names in pair are separated with a single space. Each pair of volunteers who do not get on occurs exactly once. The strings are case-sensitive. All n names are distinct.
Output
The first output line should contain the single number k — the number of people in the sought team. Next k lines should contain the names of the sought team's participants in the lexicographical order. If there are several variants to solve the problem, print any of them. Petya might not be a member of the sought team.
Examples
Input
3 1
Petya
Vasya
Masha
Petya Vasya
Output
2
Masha
Petya
Input
3 0
Pasha
Lesha
Vanya
Output
3
Lesha
Pasha
Vanya | '''input
7 12
Pasha
Lesha
Vanya
Taras
Nikita
Sergey
Andrey
Pasha Taras
Pasha Nikita
Pasha Andrey
Pasha Sergey
Lesha Taras
Lesha Nikita
Lesha Andrey
Lesha Sergey
Vanya Taras
Vanya Nikita
Vanya Andrey
Vanya Sergey
'''
from sys import stdin, stdout
from collections import deque
import sys
from copy import deepcopy
import math
import collections
from itertools import combinations
def check(temp):
for i in range(len(temp)):
for j in range(i + 1, len(temp)):
if temp[i] in enemy:
if temp[j] in enemy[temp[i]]:
return False
if temp[j] in enemy:
if temp[i] in enemy[temp[j]]:
return False
# print(temp)
return True
# main start
n, m = list(map(int, stdin.readline().split()))
name = dict()
back_name = dict()
arr = []
for i in range(n):
string = stdin.readline().strip()
name[string] = i
back_name[i] = string
enemy = collections.defaultdict(dict)
for i in range(m):
first, second = list(stdin.readline().split())
enemy[name[first]][name[second]] = True
enemy[name[second]][name[first]] = True
# print(enemy)
arr = [x for x in range(n)]
ans = []
num = 0
for i in range(1, n + 1):
comb = combinations(arr, i)
for i in comb:
temp = list(i)
# print(temp)
if check(temp):
# print(temp)
if len(temp) > num:
ans = temp
num = len(temp)
print(len(ans))
ans2 = []
for i in ans:
ans2.append(back_name[i])
ans2.sort()
for i in ans2:
print(i)
| 3Python3
| {
"input": [
"3 0\nPasha\nLesha\nVanya\n",
"3 1\nPetya\nVasya\nMasha\nPetya Vasya\n",
"7 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nMariana\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"7 6\nj\nZ\nPZNeTyY\nm\na\nUj\nsuaaSiKcK\nUj PZNeTyY\na j\nPZNeTyY Z\nPZNeTyY j\nm PZNeTyY\nm j\n",
"15 3\na\nYclKFJoaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"8 6\nU\nC\nPEElYwaxf\nVubTXNI\nJ\nIxZUHV\nhLNFnzmqFE\nDPPvwuWvmA\nhLNFnzmqFE IxZUHV\nIxZUHV C\nJ PEElYwaxf\nIxZUHV PEElYwaxf\nPEElYwaxf C\nJ VubTXNI\n",
"2 0\nAndrey\nTaras\n",
"4 2\nadQx\nrJGeodBycK\ntgPYZk\ncz\ncz tgPYZk\nrJGeodBycK adQx\n",
"16 37\ntIWi\nq\nIEAYCq\nXozwkum\nCC\niPwfd\nS\nXEf\nWqEiwkH\nWX\ne\nltmruh\nKGx\nauTUYZRC\nmeJa\nM\nmeJa q\nKGx e\nXEf Xozwkum\ne q\nauTUYZRC KGx\ne CC\nM CC\nM meJa\nWX CC\nWqEiwkH IEAYCq\nauTUYZRC WqEiwkH\nKGx WX\nmeJa KGx\nXEf q\nauTUYZRC XEf\nauTUYZRC IEAYCq\nWX XEf\nM XEf\nWqEiwkH q\nM KGx\nKGx CC\nM e\nWqEiwkH Xozwkum\nCC q\nS Xozwkum\nKGx tIWi\nWX q\nXEf S\nauTUYZRC S\nCC IEAYCq\nKGx IEAYCq\ne WqEiwkH\nM S\nauTUYZRC q\nS tIWi\nM ltmruh\nM iPwfd\n",
"16 11\ntulhZxeKgo\nbrAXY\nyQUkaihDAg\nmwjlDVaktK\nweVtBIP\nzRwb\nds\nhXPfJrL\nAdIfP\nazQeXn\nB\nJlmscIUOxO\nZuxr\nV\nOfyLIUO\nuaMl\nhXPfJrL yQUkaihDAg\nweVtBIP yQUkaihDAg\nazQeXn hXPfJrL\nV tulhZxeKgo\nzRwb yQUkaihDAg\nds mwjlDVaktK\nzRwb brAXY\nyQUkaihDAg brAXY\nB yQUkaihDAg\nAdIfP mwjlDVaktK\nbrAXY tulhZxeKgo\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXWOt\nulBD qqjgF\n",
"5 1\nWEYUdpYmZp\nfhNmMpjr\nydARivBg\ncilTtE\nyeXxkhPzB\nyeXxkhPzB cilTtE\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nTngcmS\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"15 8\ncXeOANpvBF\nbkeDfi\nnsEUAKNxQI\noSIb\naU\nXYXYVo\nduZQ\naPkr\nPVrHpL\nmVgmv\nhHhukllwbf\nGkNPGYVxjY\nbgBjA\nslNKCLIlOv\nmPILXy\nbgBjA cXeOANpvBF\nGkNPGYVxjY cXeOANpvBF\nslNKCLIlOv GkNPGYVxjY\nGkNPGYVxjY mVgmv\nXYXYVo cXeOANpvBF\nslNKCLIlOv bkeDfi\nmVgmv aPkr\nslNKCLIlOv nsEUAKNxQI\n",
"8 12\nBkgxqAF\nKhq\nNpIfk\nkheqUyDVG\niRBkHlRpp\nZDaQY\nNG\nqN\nqN BkgxqAF\nNpIfk BkgxqAF\niRBkHlRpp BkgxqAF\niRBkHlRpp NpIfk\nNG Khq\niRBkHlRpp Khq\nNG ZDaQY\nNG iRBkHlRpp\nNG NpIfk\nqN Khq\nZDaQY kheqUyDVG\nNpIfk Khq\n",
"7 12\nPasha\nLesha\nVanya\nTaras\nNikita\nSergey\nAndrey\nPasha Taras\nPasha Nikita\nPasha Andrey\nPasha Sergey\nLesha Taras\nLesha Nikita\nLesha Andrey\nLesha Sergey\nVanya Taras\nVanya Nikita\nVanya Andrey\nVanya Sergey\n",
"3 0\nr\nyVwqs\nsdTDerOyhp\n",
"7 14\nFXCT\nn\no\nS\nMdFuonu\nmszv\nbqScOCw\nS o\nbqScOCw FXCT\nMdFuonu o\no n\nbqScOCw n\nmszv S\nbqScOCw MdFuonu\nmszv n\nS FXCT\nbqScOCw o\no FXCT\nmszv MdFuonu\nmszv FXCT\nbqScOCw mszv\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nVG\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"5 2\niBrgNFlNXd\nlnGPIV\nnb\nB\nVgqRcEOG\nlnGPIV iBrgNFlNXd\nB iBrgNFlNXd\n",
"2 1\ncLWdg\nGoWegdDRp\nGoWegdDRp cLWdg\n",
"9 14\nmoRNeufngu\nBSKI\nzXl\ngwmIDluW\nYFn\nHvasEgl\nXcAC\neVP\nAiOm\neVP BSKI\neVP YFn\nHvasEgl YFn\neVP XcAC\nAiOm HvasEgl\nXcAC YFn\nzXl moRNeufngu\neVP zXl\nHvasEgl BSKI\nXcAC gwmIDluW\nXcAC HvasEgl\nYFn moRNeufngu\nzXl BSKI\nHvasEgl gwmIDluW\n",
"12 12\njWuGgOjV\nWs\njTZQMyH\nULp\nUfsnPRt\nk\nbPKrnP\nW\nJOaQdgglDG\nAodc\ncpRjAUyYIW\nMrjB\nbPKrnP ULp\nk Ws\ncpRjAUyYIW k\nULp jTZQMyH\nbPKrnP jWuGgOjV\ncpRjAUyYIW jTZQMyH\nW ULp\nk jTZQMyH\nk ULp\nMrjB ULp\ncpRjAUyYIW Aodc\nW k\n",
"16 25\nbBZ\nEr\nZ\nrYJmfZLgmx\nPaJNrF\naHtRqSxOO\nD\nhsagsG\nMDuBOXrmWH\nSgjMQZ\nYXgWq\nxDwpppG\nSDY\nJwZWx\ncOzrgrBaE\nFJYX\nYXgWq SgjMQZ\nSDY PaJNrF\nFJYX rYJmfZLgmx\nhsagsG Er\nxDwpppG rYJmfZLgmx\naHtRqSxOO rYJmfZLgmx\nhsagsG bBZ\nJwZWx hsagsG\nFJYX cOzrgrBaE\nSDY YXgWq\nFJYX Z\nJwZWx rYJmfZLgmx\nD rYJmfZLgmx\nYXgWq Z\nrYJmfZLgmx Z\naHtRqSxOO bBZ\nSDY rYJmfZLgmx\ncOzrgrBaE D\nYXgWq hsagsG\nSDY aHtRqSxOO\ncOzrgrBaE xDwpppG\nSDY bBZ\nSDY Er\nJwZWx xDwpppG\nFJYX JwZWx\n",
"9 13\nYiUXqlBUx\nQNgYuX\ndPtyZ\nITtwRJCv\nLJ\nrAG\nOgxNq\nsitechE\nvVAAz\nOgxNq QNgYuX\nOgxNq dPtyZ\nsitechE rAG\nLJ QNgYuX\nQNgYuX YiUXqlBUx\nOgxNq LJ\nvVAAz OgxNq\nrAG dPtyZ\nvVAAz LJ\nvVAAz ITtwRJCv\nsitechE LJ\nrAG YiUXqlBUx\nsitechE QNgYuX\n",
"3 3\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"11 13\ncZAMfd\nSWQnweM\nKlQW\nWRsnNZT\nix\nUC\nLWqsVHcWec\nfeb\ncBy\ntvk\nRXDlX\nfeb SWQnweM\ncBy WRsnNZT\nLWqsVHcWec KlQW\nRXDlX feb\nLWqsVHcWec cZAMfd\ncBy UC\nWRsnNZT SWQnweM\nRXDlX cBy\ntvk UC\ncBy SWQnweM\nUC KlQW\nRXDlX KlQW\nUC WRsnNZT\n",
"2 0\nNgzlPJgFgz\nQfpagVpWz\n",
"16 11\njA\nkyRNTE\neY\nToLcqN\nbnenhMxiK\nzlkOe\nXCKZ\neaQrds\nqUdInpi\nKgPQA\nmQIl\ninOCWEZHxy\nyA\nPIZRMOu\nXtueKFM\nfRNwNn\ninOCWEZHxy qUdInpi\nKgPQA zlkOe\ninOCWEZHxy KgPQA\nfRNwNn XCKZ\ninOCWEZHxy eY\nyA mQIl\ninOCWEZHxy ToLcqN\nyA KgPQA\nqUdInpi ToLcqN\nqUdInpi eaQrds\nPIZRMOu eY\n",
"4 2\noVemoZhjW\nHspFEry\nhFO\njxt\nhFO HspFEry\njxt oVemoZhjW\n",
"5 10\nTaras\nNikita\nSergey\nAndrey\nRomka\nTaras Romka\nTaras Nikita\nTaras Sergey\nTaras Andrey\nRomka Nikita\nRomka Sergey\nRomka Andrey\nNikita Sergey\nNikita Andrey\nSergey Andrey\n",
"6 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPetr\n",
"6 9\noySkmhCD\nUIKWj\nmHolKkBx\nQBikssqz\nZ\nzoFUJYa\nZ UIKWj\nQBikssqz oySkmhCD\nQBikssqz UIKWj\nZ oySkmhCD\nzoFUJYa UIKWj\nzoFUJYa Z\nzoFUJYa mHolKkBx\nzoFUJYa QBikssqz\nQBikssqz mHolKkBx\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJuo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"15 3\na\nYcJKFloaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"2 0\nAndrey\nTar`s\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nSmcgnT\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"3 0\nr\nyVwqs\nphyOreDTds\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nGV\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nAnmSVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"2 0\nNgzlPJzFgg\nQfpagVpWz\n",
"1 0\nePtr\n",
"2 0\nAodrey\nTar`s\n",
"3 0\nr\nzVwqs\nsdTDerOyhp\n",
"1 0\nrPte\n",
"3 0\ns\nzVwqs\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTaras\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXXOt\nulBD qqjgF\n",
"3 0\ns\nyVwqs\nsdTDerOyhp\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWBxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"3 2\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"6 6\nAlena\nOlya\nVanya\nBrvs\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPdtr\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJvo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"3 0\nPasha\nLeshb\nVanya\n",
"3 0\nr\nyVxqs\nphyOreDTds\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"1 0\nrtPe\n",
"2 0\nAodsey\nTar`s\n",
"3 0\nr\nzVwqs\nphyOreDTds\n",
"1 0\nrOte\n",
"3 0\nt\nzVwqs\nsdTDerOyhp\n",
"2 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTarar\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbWXOt\nulBD qqjgF\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdts\n",
"3 0\nPasha\nbhseL\nVanya\n",
"3 0\nr\nyVqxs\nphyOreDTds\n",
"1 0\nrtPd\n",
"3 0\nr\nzVwqs\nseTDdrOyhp\n",
"1 0\nAnerey\nTarar\n",
"16 0\nTaras\nNikita\nSergey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdss\n",
"1 0\nPasha\nbhseL\nVanya\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"3 0\nq\nzVwqs\nseTDdrOyhp\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPssd\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nsaPha\nbhseL\naynaV\n",
"16 0\nTaras\nNikita\nSerfey\nAerdny\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"2 0\ns\nzVqws\nTdrDesOyhp\n",
"1 0\nPasha\nbhseL\naynaV\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrut\nJohn\nAlice\n"
],
"output": [
"3\nLesha\nPasha\nVanya\n",
"2\nMasha\nPetya\n",
"5\nAlena\nBrus\nMariana\nOlya\nVanya\n",
"5\nUj\nZ\na\nm\nsuaaSiKcK\n",
"13\nMC\nTAU\nVDLb\nYclKFJoaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"5\nC\nDPPvwuWvmA\nU\nVubTXNI\nhLNFnzmqFE\n",
"2\nAndrey\nTaras\n",
"2\nadQx\ntgPYZk\n",
"8\nIEAYCq\nWX\nXozwkum\ne\niPwfd\nltmruh\nmeJa\ntIWi\n",
"11\nAdIfP\nB\nJlmscIUOxO\nOfyLIUO\nZuxr\nds\nhXPfJrL\ntulhZxeKgo\nuaMl\nweVtBIP\nzRwb\n",
"5\nCOzbXWOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"4\nWEYUdpYmZp\ncilTtE\nfhNmMpjr\nydARivBg\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nTGF\nTngcmS\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"12\nGkNPGYVxjY\nPVrHpL\nXYXYVo\naPkr\naU\nbgBjA\nbkeDfi\nduZQ\nhHhukllwbf\nmPILXy\nnsEUAKNxQI\noSIb\n",
"3\nBkgxqAF\nKhq\nkheqUyDVG\n",
"4\nAndrey\nNikita\nSergey\nTaras\n",
"3\nr\nsdTDerOyhp\nyVwqs\n",
"3\nFXCT\nMdFuonu\nn\n",
"7\nCaAlbwoIL\nEQPcotnrp\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nVG\nfLfek\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\n",
"7\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"4\nB\nVgqRcEOG\nlnGPIV\nnb\n",
"1\ncLWdg\n",
"4\nAiOm\nBSKI\ngwmIDluW\nmoRNeufngu\n",
"8\nAodc\nJOaQdgglDG\nMrjB\nUfsnPRt\nW\nWs\njTZQMyH\njWuGgOjV\n",
"8\nD\nEr\nMDuBOXrmWH\nPaJNrF\nSgjMQZ\nZ\nbBZ\nxDwpppG\n",
"4\nITtwRJCv\nLJ\nYiUXqlBUx\ndPtyZ\n",
"1\nvRVatwL\n",
"6\nKlQW\nWRsnNZT\ncZAMfd\nfeb\nix\ntvk\n",
"2\nNgzlPJgFgz\nQfpagVpWz\n",
"10\nToLcqN\nXCKZ\nXtueKFM\nbnenhMxiK\neY\neaQrds\njA\nkyRNTE\nmQIl\nzlkOe\n",
"2\nHspFEry\noVemoZhjW\n",
"1\nTaras\n",
"4\nAlena\nBrus\nOlya\nVanya\n",
"1\nPetr\n",
"3\nUIKWj\nmHolKkBx\noySkmhCD\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJuo\n",
"13\nMC\nTAU\nVDLb\nYcJKFloaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"2\nAndrey\nTar`s\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nSmcgnT\nTGF\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"3\nphyOreDTds\nr\nyVwqs\n",
"7\nCaAlbwoIL\nEQPcotnrp\nGV\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nfLfek\n",
"16\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nanelA\n",
"7\nAnmSVEQI\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\ntZHzWGAvXc\n",
"2\nNgzlPJzFgg\nQfpagVpWz\n",
"1\nePtr\n",
"2\nAodrey\nTar`s\n",
"3\nr\nsdTDerOyhp\nzVwqs\n",
"1\nrPte\n",
"3\ns\nsdTDerOyhp\nzVwqs\n",
"3\ns\nsdTDerOyhp\nzVqws\n",
"3\nrdTDesOyhp\ns\nzVqws\n",
"2\nAnerey\nTaras\n",
"5\nCOzbXXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"3\ns\nsdTDerOyhp\nyVwqs\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nsineD\n",
"7\nBeaCYhIRLy\nRFiow\nVWBxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"2\nWmkUGiYEn\nuvvsXKXcJ\n",
"4\nAlena\nBrvs\nOlya\nVanya\n",
"1\nPdtr\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJvo\n",
"3\nLeshb\nPasha\nVanya\n",
"3\nphyOreDTds\nr\nyVxqs\n",
"3\nNikita\nSergey\nTaras\n",
"1\nrtPe\n",
"2\nAodsey\nTar`s\n",
"3\nphyOreDTds\nr\nzVwqs\n",
"1\nrOte\n",
"3\nsdTDerOyhp\nt\nzVwqs\n",
"2\ns\nzVqws\n",
"2\nAnerey\nTarar\n",
"5\nCOzbWXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\n",
"1\nPdts\n",
"3\nPasha\nVanya\nbhseL\n",
"3\nphyOreDTds\nr\nyVqxs\n",
"1\nrtPd\n",
"3\nr\nseTDdrOyhp\nzVwqs\n",
"1\nAnerey\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPdss\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n",
"3\nq\nseTDdrOyhp\nzVwqs\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPssd\n",
"16\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\nyndreA\n",
"1\nsaPha\n",
"16\nAerdny\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\n",
"3\nNikita\nSergey\nTaras\n",
"2\ns\nzVqws\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n"
]
} | 2CODEFORCES
|
114_B. PFAST Inc._37863 | When little Petya grew up and entered the university, he started to take part in АСМ contests. Later he realized that he doesn't like how the АСМ contests are organised: the team could only have three members (and he couldn't take all his friends to the competitions and distribute the tasks between the team members efficiently), so he decided to organize his own contests PFAST Inc. — Petr and Friends Are Solving Tasks Corporation. PFAST Inc. rules allow a team to have unlimited number of members.
To make this format of contests popular he organised his own tournament. To create the team he will prepare for the contest organised by the PFAST Inc. rules, he chose several volunteers (up to 16 people) and decided to compile a team from them. Petya understands perfectly that if a team has two people that don't get on well, then the team will perform poorly. Put together a team with as many players as possible given that all players should get on well with each other.
Input
The first line contains two integer numbers n (1 ≤ n ≤ 16) — the number of volunteers, and m (<image>) — the number of pairs that do not get on. Next n lines contain the volunteers' names (each name is a non-empty string consisting of no more than 10 uppercase and/or lowercase Latin letters). Next m lines contain two names — the names of the volunteers who do not get on. The names in pair are separated with a single space. Each pair of volunteers who do not get on occurs exactly once. The strings are case-sensitive. All n names are distinct.
Output
The first output line should contain the single number k — the number of people in the sought team. Next k lines should contain the names of the sought team's participants in the lexicographical order. If there are several variants to solve the problem, print any of them. Petya might not be a member of the sought team.
Examples
Input
3 1
Petya
Vasya
Masha
Petya Vasya
Output
2
Masha
Petya
Input
3 0
Pasha
Lesha
Vanya
Output
3
Lesha
Pasha
Vanya |
import java.io.*;
import java.util.*;
import java.math.*;
public class Main
{
BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
StringTokenizer tokenizer=null;
public static void main(String[] args) throws IOException
{
new Main().execute();
}
void debug(Object...os)
{
System.out.println(Arrays.deepToString(os));
}
int ni() throws IOException
{
return Integer.parseInt(ns());
}
long nl() throws IOException
{
return Long.parseLong(ns());
}
double nd() throws IOException
{
return Double.parseDouble(ns());
}
String ns() throws IOException
{
while (tokenizer == null || !tokenizer.hasMoreTokens())
tokenizer = new StringTokenizer(br.readLine());
return tokenizer.nextToken();
}
String nline() throws IOException
{
tokenizer=null;
return br.readLine();
}
//Main Code starts Here
int totalCases, testNum;
void execute() throws IOException
{
totalCases = 1;
solve();
}
String names[];
int n;
int m;
int adjMat[][];
int ans[];
int lans[];
int index;
int max = -1;
void solve() throws IOException
{
n = ni();
m = ni();
names = new String[n];
adjMat = new int[n][n];
lans = new int[n];
index = 0;
for(int i = 0;i<n;i++)
{
names[i] = ns();
}
for(int i = 0;i<m;i++)
{
int p1 = search(ns());
int p2 = search(ns());
adjMat[p1][p2] = 1;
adjMat[p2][p1] = 1;
}
int start = (int)Math.pow(2,n);
for(int i = start-1;i>=1;i--)
{
index = 0;
ans = new int[n];
for(int j = 0;j<n;j++)
{
int temp = (i>>j) & 1;
if(temp == 1)
{
ans[index] = j;
index++;
}
}
if(!enemy())
{
if(max<index)
{
for(int k = 0;k<index;k++)
{
lans[k] = ans[k];
}
max = index;
}
}
}
String fans[] = new String[max];
for(int i = 0;i<max;i++)
{
fans[i] = names[lans[i]];
}
Arrays.sort(fans);
System.out.println(max);
for(int i = 0;i<max;i++)
{
System.out.println(fans[i]);
}
}
int search(String a)
{
for(int i = 0;i<n;i++)
{
if(a.equals(names[i]))
return i;
}
return 0;
}
boolean enemy()
{
int count = 0;
for(int i = 0;i<index;i++)
{
for(int j = 0;j<index;j++)
{
if(adjMat[ans[i]][ans[j]] == 1)
{
count++;
}
}
}
if(count>0)
return true;
else
return false;
}
}
| 4JAVA
| {
"input": [
"3 0\nPasha\nLesha\nVanya\n",
"3 1\nPetya\nVasya\nMasha\nPetya Vasya\n",
"7 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nMariana\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"7 6\nj\nZ\nPZNeTyY\nm\na\nUj\nsuaaSiKcK\nUj PZNeTyY\na j\nPZNeTyY Z\nPZNeTyY j\nm PZNeTyY\nm j\n",
"15 3\na\nYclKFJoaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"8 6\nU\nC\nPEElYwaxf\nVubTXNI\nJ\nIxZUHV\nhLNFnzmqFE\nDPPvwuWvmA\nhLNFnzmqFE IxZUHV\nIxZUHV C\nJ PEElYwaxf\nIxZUHV PEElYwaxf\nPEElYwaxf C\nJ VubTXNI\n",
"2 0\nAndrey\nTaras\n",
"4 2\nadQx\nrJGeodBycK\ntgPYZk\ncz\ncz tgPYZk\nrJGeodBycK adQx\n",
"16 37\ntIWi\nq\nIEAYCq\nXozwkum\nCC\niPwfd\nS\nXEf\nWqEiwkH\nWX\ne\nltmruh\nKGx\nauTUYZRC\nmeJa\nM\nmeJa q\nKGx e\nXEf Xozwkum\ne q\nauTUYZRC KGx\ne CC\nM CC\nM meJa\nWX CC\nWqEiwkH IEAYCq\nauTUYZRC WqEiwkH\nKGx WX\nmeJa KGx\nXEf q\nauTUYZRC XEf\nauTUYZRC IEAYCq\nWX XEf\nM XEf\nWqEiwkH q\nM KGx\nKGx CC\nM e\nWqEiwkH Xozwkum\nCC q\nS Xozwkum\nKGx tIWi\nWX q\nXEf S\nauTUYZRC S\nCC IEAYCq\nKGx IEAYCq\ne WqEiwkH\nM S\nauTUYZRC q\nS tIWi\nM ltmruh\nM iPwfd\n",
"16 11\ntulhZxeKgo\nbrAXY\nyQUkaihDAg\nmwjlDVaktK\nweVtBIP\nzRwb\nds\nhXPfJrL\nAdIfP\nazQeXn\nB\nJlmscIUOxO\nZuxr\nV\nOfyLIUO\nuaMl\nhXPfJrL yQUkaihDAg\nweVtBIP yQUkaihDAg\nazQeXn hXPfJrL\nV tulhZxeKgo\nzRwb yQUkaihDAg\nds mwjlDVaktK\nzRwb brAXY\nyQUkaihDAg brAXY\nB yQUkaihDAg\nAdIfP mwjlDVaktK\nbrAXY tulhZxeKgo\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXWOt\nulBD qqjgF\n",
"5 1\nWEYUdpYmZp\nfhNmMpjr\nydARivBg\ncilTtE\nyeXxkhPzB\nyeXxkhPzB cilTtE\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nTngcmS\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"15 8\ncXeOANpvBF\nbkeDfi\nnsEUAKNxQI\noSIb\naU\nXYXYVo\nduZQ\naPkr\nPVrHpL\nmVgmv\nhHhukllwbf\nGkNPGYVxjY\nbgBjA\nslNKCLIlOv\nmPILXy\nbgBjA cXeOANpvBF\nGkNPGYVxjY cXeOANpvBF\nslNKCLIlOv GkNPGYVxjY\nGkNPGYVxjY mVgmv\nXYXYVo cXeOANpvBF\nslNKCLIlOv bkeDfi\nmVgmv aPkr\nslNKCLIlOv nsEUAKNxQI\n",
"8 12\nBkgxqAF\nKhq\nNpIfk\nkheqUyDVG\niRBkHlRpp\nZDaQY\nNG\nqN\nqN BkgxqAF\nNpIfk BkgxqAF\niRBkHlRpp BkgxqAF\niRBkHlRpp NpIfk\nNG Khq\niRBkHlRpp Khq\nNG ZDaQY\nNG iRBkHlRpp\nNG NpIfk\nqN Khq\nZDaQY kheqUyDVG\nNpIfk Khq\n",
"7 12\nPasha\nLesha\nVanya\nTaras\nNikita\nSergey\nAndrey\nPasha Taras\nPasha Nikita\nPasha Andrey\nPasha Sergey\nLesha Taras\nLesha Nikita\nLesha Andrey\nLesha Sergey\nVanya Taras\nVanya Nikita\nVanya Andrey\nVanya Sergey\n",
"3 0\nr\nyVwqs\nsdTDerOyhp\n",
"7 14\nFXCT\nn\no\nS\nMdFuonu\nmszv\nbqScOCw\nS o\nbqScOCw FXCT\nMdFuonu o\no n\nbqScOCw n\nmszv S\nbqScOCw MdFuonu\nmszv n\nS FXCT\nbqScOCw o\no FXCT\nmszv MdFuonu\nmszv FXCT\nbqScOCw mszv\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nVG\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"5 2\niBrgNFlNXd\nlnGPIV\nnb\nB\nVgqRcEOG\nlnGPIV iBrgNFlNXd\nB iBrgNFlNXd\n",
"2 1\ncLWdg\nGoWegdDRp\nGoWegdDRp cLWdg\n",
"9 14\nmoRNeufngu\nBSKI\nzXl\ngwmIDluW\nYFn\nHvasEgl\nXcAC\neVP\nAiOm\neVP BSKI\neVP YFn\nHvasEgl YFn\neVP XcAC\nAiOm HvasEgl\nXcAC YFn\nzXl moRNeufngu\neVP zXl\nHvasEgl BSKI\nXcAC gwmIDluW\nXcAC HvasEgl\nYFn moRNeufngu\nzXl BSKI\nHvasEgl gwmIDluW\n",
"12 12\njWuGgOjV\nWs\njTZQMyH\nULp\nUfsnPRt\nk\nbPKrnP\nW\nJOaQdgglDG\nAodc\ncpRjAUyYIW\nMrjB\nbPKrnP ULp\nk Ws\ncpRjAUyYIW k\nULp jTZQMyH\nbPKrnP jWuGgOjV\ncpRjAUyYIW jTZQMyH\nW ULp\nk jTZQMyH\nk ULp\nMrjB ULp\ncpRjAUyYIW Aodc\nW k\n",
"16 25\nbBZ\nEr\nZ\nrYJmfZLgmx\nPaJNrF\naHtRqSxOO\nD\nhsagsG\nMDuBOXrmWH\nSgjMQZ\nYXgWq\nxDwpppG\nSDY\nJwZWx\ncOzrgrBaE\nFJYX\nYXgWq SgjMQZ\nSDY PaJNrF\nFJYX rYJmfZLgmx\nhsagsG Er\nxDwpppG rYJmfZLgmx\naHtRqSxOO rYJmfZLgmx\nhsagsG bBZ\nJwZWx hsagsG\nFJYX cOzrgrBaE\nSDY YXgWq\nFJYX Z\nJwZWx rYJmfZLgmx\nD rYJmfZLgmx\nYXgWq Z\nrYJmfZLgmx Z\naHtRqSxOO bBZ\nSDY rYJmfZLgmx\ncOzrgrBaE D\nYXgWq hsagsG\nSDY aHtRqSxOO\ncOzrgrBaE xDwpppG\nSDY bBZ\nSDY Er\nJwZWx xDwpppG\nFJYX JwZWx\n",
"9 13\nYiUXqlBUx\nQNgYuX\ndPtyZ\nITtwRJCv\nLJ\nrAG\nOgxNq\nsitechE\nvVAAz\nOgxNq QNgYuX\nOgxNq dPtyZ\nsitechE rAG\nLJ QNgYuX\nQNgYuX YiUXqlBUx\nOgxNq LJ\nvVAAz OgxNq\nrAG dPtyZ\nvVAAz LJ\nvVAAz ITtwRJCv\nsitechE LJ\nrAG YiUXqlBUx\nsitechE QNgYuX\n",
"3 3\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"11 13\ncZAMfd\nSWQnweM\nKlQW\nWRsnNZT\nix\nUC\nLWqsVHcWec\nfeb\ncBy\ntvk\nRXDlX\nfeb SWQnweM\ncBy WRsnNZT\nLWqsVHcWec KlQW\nRXDlX feb\nLWqsVHcWec cZAMfd\ncBy UC\nWRsnNZT SWQnweM\nRXDlX cBy\ntvk UC\ncBy SWQnweM\nUC KlQW\nRXDlX KlQW\nUC WRsnNZT\n",
"2 0\nNgzlPJgFgz\nQfpagVpWz\n",
"16 11\njA\nkyRNTE\neY\nToLcqN\nbnenhMxiK\nzlkOe\nXCKZ\neaQrds\nqUdInpi\nKgPQA\nmQIl\ninOCWEZHxy\nyA\nPIZRMOu\nXtueKFM\nfRNwNn\ninOCWEZHxy qUdInpi\nKgPQA zlkOe\ninOCWEZHxy KgPQA\nfRNwNn XCKZ\ninOCWEZHxy eY\nyA mQIl\ninOCWEZHxy ToLcqN\nyA KgPQA\nqUdInpi ToLcqN\nqUdInpi eaQrds\nPIZRMOu eY\n",
"4 2\noVemoZhjW\nHspFEry\nhFO\njxt\nhFO HspFEry\njxt oVemoZhjW\n",
"5 10\nTaras\nNikita\nSergey\nAndrey\nRomka\nTaras Romka\nTaras Nikita\nTaras Sergey\nTaras Andrey\nRomka Nikita\nRomka Sergey\nRomka Andrey\nNikita Sergey\nNikita Andrey\nSergey Andrey\n",
"6 6\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPetr\n",
"6 9\noySkmhCD\nUIKWj\nmHolKkBx\nQBikssqz\nZ\nzoFUJYa\nZ UIKWj\nQBikssqz oySkmhCD\nQBikssqz UIKWj\nZ oySkmhCD\nzoFUJYa UIKWj\nzoFUJYa Z\nzoFUJYa mHolKkBx\nzoFUJYa QBikssqz\nQBikssqz mHolKkBx\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJuo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"15 3\na\nYcJKFloaIA\nhalYcB\nbLOlPzAeQ\ntckjt\noDFijpx\nb\npz\nVDLb\nlCEHPibt\noF\npzJD\nMC\nqklsX\nTAU\npzJD tckjt\nqklsX oF\nMC pzJD\n",
"2 0\nAndrey\nTar`s\n",
"16 8\nJIo\nINanHVnP\nKaxyCBWt\nkVfnsz\nRAwFYCrSvI\nF\nvIEWWIvh\nTGF\nFeuhJJwJ\nSmcgnT\nSqI\nRmcaVngp\neGwhme\nlwaFfXzM\noabGmpvVH\nTMT\nFeuhJJwJ F\neGwhme FeuhJJwJ\nRmcaVngp SqI\nINanHVnP JIo\nSqI FeuhJJwJ\nF kVfnsz\nTGF F\nTMT TGF\n",
"3 0\nr\nyVwqs\nphyOreDTds\n",
"9 6\nfLfek\nEQPcotnrp\nCaAlbwoIL\nGV\nNAZKIBiKT\noFy\njFluh\nKqHXRNya\nQSwgobA\noFy EQPcotnrp\nKqHXRNya jFluh\noFy NAZKIBiKT\njFluh oFy\njFluh fLfek\noFy fLfek\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWAxrqx\nAnmSVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"2 0\nNgzlPJzFgg\nQfpagVpWz\n",
"1 0\nePtr\n",
"2 0\nAodrey\nTar`s\n",
"3 0\nr\nzVwqs\nsdTDerOyhp\n",
"1 0\nrPte\n",
"3 0\ns\nzVwqs\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nsdTDerOyhp\n",
"3 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTaras\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbXXOt\nulBD qqjgF\n",
"3 0\ns\nyVwqs\nsdTDerOyhp\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"9 5\nRFiow\naxgvtiBGbx\ngGBVZtI\nVWBxrqx\nmnASVEQI\ntZHzWGAvXc\nBeaCYhIRLy\nhTdUL\nFJd\nhTdUL RFiow\nhTdUL gGBVZtI\nFJd axgvtiBGbx\nFJd BeaCYhIRLy\nhTdUL axgvtiBGbx\n",
"3 2\nvRVatwL\nWmkUGiYEn\nuvvsXKXcJ\nWmkUGiYEn vRVatwL\nuvvsXKXcJ vRVatwL\nuvvsXKXcJ WmkUGiYEn\n",
"6 6\nAlena\nOlya\nVanya\nBrvs\nJohn\nAlice\nAlena John\nAlena Alice\nOlya John\nOlya Alice\nVanya John\nVanya Alice\n",
"1 0\nPdtr\n",
"11 17\njFTNgFBO\ntZDgmdF\nIjeDjoj\nBEMAaYkNb\nRZRQl\ntK\nlNHWt\nIdG\nLAbVLYiY\notOBsWqJvo\nUoTy\ntK BEMAaYkNb\nBEMAaYkNb jFTNgFBO\nIjeDjoj tZDgmdF\nRZRQl jFTNgFBO\nlNHWt tZDgmdF\nRZRQl tZDgmdF\nUoTy LAbVLYiY\nBEMAaYkNb IjeDjoj\nIdG BEMAaYkNb\nLAbVLYiY tK\nLAbVLYiY jFTNgFBO\nUoTy IjeDjoj\nlNHWt jFTNgFBO\nlNHWt BEMAaYkNb\ntK IjeDjoj\nUoTy RZRQl\nBEMAaYkNb tZDgmdF\n",
"3 0\nPasha\nLeshb\nVanya\n",
"3 0\nr\nyVxqs\nphyOreDTds\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\nVanya\nBrus\nJohn\nAlice\n",
"1 0\nrtPe\n",
"2 0\nAodsey\nTar`s\n",
"3 0\nr\nzVwqs\nphyOreDTds\n",
"1 0\nrOte\n",
"3 0\nt\nzVwqs\nsdTDerOyhp\n",
"2 0\ns\nzVqws\nrdTDesOyhp\n",
"2 0\nAnerey\nTarar\n",
"6 1\nuPVIuLBuYM\nVejWyKCtbN\nqqjgF\nulBD\nDRNzxJU\nCOzbWXOt\nulBD qqjgF\n",
"16 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdts\n",
"3 0\nPasha\nbhseL\nVanya\n",
"3 0\nr\nyVqxs\nphyOreDTds\n",
"1 0\nrtPd\n",
"3 0\nr\nzVwqs\nseTDdrOyhp\n",
"1 0\nAnerey\nTarar\n",
"16 0\nTaras\nNikita\nSergey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPdss\n",
"1 0\nPasha\nbhseL\nVanya\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"3 0\nq\nzVwqs\nseTDdrOyhp\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nAlexey\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nPssd\n",
"16 0\nTaras\nNikita\nSerfey\nyndreA\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"1 0\nsaPha\nbhseL\naynaV\n",
"16 0\nTaras\nNikita\nSerfey\nAerdny\nRomka\nyexelA\nUra\nsineD\nEgor\nVadim\nAlena\nOlya\nnaVya\nBrus\nJohn\nAlice\n",
"3 0\nTaras\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrus\nJohn\nAlice\n",
"2 0\ns\nzVqws\nTdrDesOyhp\n",
"1 0\nPasha\nbhseL\naynaV\n",
"3 0\nTar`s\nNikita\nSergey\nAndrey\nRomka\nAlexey\nUra\nDenis\nEgor\nVadim\nanelA\nOlya\naynaV\nBrut\nJohn\nAlice\n"
],
"output": [
"3\nLesha\nPasha\nVanya\n",
"2\nMasha\nPetya\n",
"5\nAlena\nBrus\nMariana\nOlya\nVanya\n",
"5\nUj\nZ\na\nm\nsuaaSiKcK\n",
"13\nMC\nTAU\nVDLb\nYclKFJoaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"5\nC\nDPPvwuWvmA\nU\nVubTXNI\nhLNFnzmqFE\n",
"2\nAndrey\nTaras\n",
"2\nadQx\ntgPYZk\n",
"8\nIEAYCq\nWX\nXozwkum\ne\niPwfd\nltmruh\nmeJa\ntIWi\n",
"11\nAdIfP\nB\nJlmscIUOxO\nOfyLIUO\nZuxr\nds\nhXPfJrL\ntulhZxeKgo\nuaMl\nweVtBIP\nzRwb\n",
"5\nCOzbXWOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"4\nWEYUdpYmZp\ncilTtE\nfhNmMpjr\nydARivBg\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nTGF\nTngcmS\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"12\nGkNPGYVxjY\nPVrHpL\nXYXYVo\naPkr\naU\nbgBjA\nbkeDfi\nduZQ\nhHhukllwbf\nmPILXy\nnsEUAKNxQI\noSIb\n",
"3\nBkgxqAF\nKhq\nkheqUyDVG\n",
"4\nAndrey\nNikita\nSergey\nTaras\n",
"3\nr\nsdTDerOyhp\nyVwqs\n",
"3\nFXCT\nMdFuonu\nn\n",
"7\nCaAlbwoIL\nEQPcotnrp\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nVG\nfLfek\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\n",
"7\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"4\nB\nVgqRcEOG\nlnGPIV\nnb\n",
"1\ncLWdg\n",
"4\nAiOm\nBSKI\ngwmIDluW\nmoRNeufngu\n",
"8\nAodc\nJOaQdgglDG\nMrjB\nUfsnPRt\nW\nWs\njTZQMyH\njWuGgOjV\n",
"8\nD\nEr\nMDuBOXrmWH\nPaJNrF\nSgjMQZ\nZ\nbBZ\nxDwpppG\n",
"4\nITtwRJCv\nLJ\nYiUXqlBUx\ndPtyZ\n",
"1\nvRVatwL\n",
"6\nKlQW\nWRsnNZT\ncZAMfd\nfeb\nix\ntvk\n",
"2\nNgzlPJgFgz\nQfpagVpWz\n",
"10\nToLcqN\nXCKZ\nXtueKFM\nbnenhMxiK\neY\neaQrds\njA\nkyRNTE\nmQIl\nzlkOe\n",
"2\nHspFEry\noVemoZhjW\n",
"1\nTaras\n",
"4\nAlena\nBrus\nOlya\nVanya\n",
"1\nPetr\n",
"3\nUIKWj\nmHolKkBx\noySkmhCD\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJuo\n",
"13\nMC\nTAU\nVDLb\nYcJKFloaIA\na\nb\nbLOlPzAeQ\nhalYcB\nlCEHPibt\noDFijpx\noF\npz\ntckjt\n",
"2\nAndrey\nTar`s\n",
"11\nFeuhJJwJ\nJIo\nKaxyCBWt\nRAwFYCrSvI\nRmcaVngp\nSmcgnT\nTGF\nkVfnsz\nlwaFfXzM\noabGmpvVH\nvIEWWIvh\n",
"3\nphyOreDTds\nr\nyVwqs\n",
"7\nCaAlbwoIL\nEQPcotnrp\nGV\nKqHXRNya\nNAZKIBiKT\nQSwgobA\nfLfek\n",
"16\nAlexey\nAlice\nAndrey\nBrus\nDenis\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nanelA\n",
"7\nAnmSVEQI\nBeaCYhIRLy\nRFiow\nVWAxrqx\naxgvtiBGbx\ngGBVZtI\ntZHzWGAvXc\n",
"2\nNgzlPJzFgg\nQfpagVpWz\n",
"1\nePtr\n",
"2\nAodrey\nTar`s\n",
"3\nr\nsdTDerOyhp\nzVwqs\n",
"1\nrPte\n",
"3\ns\nsdTDerOyhp\nzVwqs\n",
"3\ns\nsdTDerOyhp\nzVqws\n",
"3\nrdTDesOyhp\ns\nzVqws\n",
"2\nAnerey\nTaras\n",
"5\nCOzbXXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"3\ns\nsdTDerOyhp\nyVwqs\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nVanya\nsineD\n",
"7\nBeaCYhIRLy\nRFiow\nVWBxrqx\naxgvtiBGbx\ngGBVZtI\nmnASVEQI\ntZHzWGAvXc\n",
"2\nWmkUGiYEn\nuvvsXKXcJ\n",
"4\nAlena\nBrvs\nOlya\nVanya\n",
"1\nPdtr\n",
"6\nIdG\nIjeDjoj\nLAbVLYiY\nRZRQl\nlNHWt\notOBsWqJvo\n",
"3\nLeshb\nPasha\nVanya\n",
"3\nphyOreDTds\nr\nyVxqs\n",
"3\nNikita\nSergey\nTaras\n",
"1\nrtPe\n",
"2\nAodsey\nTar`s\n",
"3\nphyOreDTds\nr\nzVwqs\n",
"1\nrOte\n",
"3\nsdTDerOyhp\nt\nzVwqs\n",
"2\ns\nzVqws\n",
"2\nAnerey\nTarar\n",
"5\nCOzbWXOt\nDRNzxJU\nVejWyKCtbN\nqqjgF\nuPVIuLBuYM\n",
"16\nAlena\nAlexey\nAlice\nAndrey\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\n",
"1\nPdts\n",
"3\nPasha\nVanya\nbhseL\n",
"3\nphyOreDTds\nr\nyVqxs\n",
"1\nrtPd\n",
"3\nr\nseTDdrOyhp\nzVwqs\n",
"1\nAnerey\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSergey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPdss\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n",
"3\nq\nseTDdrOyhp\nzVwqs\n",
"16\nAlena\nAlexey\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyndreA\n",
"1\nPssd\n",
"16\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\nyndreA\n",
"1\nsaPha\n",
"16\nAerdny\nAlena\nAlice\nBrus\nEgor\nJohn\nNikita\nOlya\nRomka\nSerfey\nTaras\nUra\nVadim\nnaVya\nsineD\nyexelA\n",
"3\nNikita\nSergey\nTaras\n",
"2\ns\nzVqws\n",
"1\nPasha\n",
"3\nNikita\nSergey\nTar`s\n"
]
} | 2CODEFORCES
|
1189_E. Count Pairs_37864 | You are given a prime number p, n integers a_1, a_2, …, a_n, and an integer k.
Find the number of pairs of indexes (i, j) (1 ≤ i < j ≤ n) for which (a_i + a_j)(a_i^2 + a_j^2) ≡ k mod p.
Input
The first line contains integers n, p, k (2 ≤ n ≤ 3 ⋅ 10^5, 2 ≤ p ≤ 10^9, 0 ≤ k ≤ p-1). p is guaranteed to be prime.
The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ p-1). It is guaranteed that all elements are different.
Output
Output a single integer — answer to the problem.
Examples
Input
3 3 0
0 1 2
Output
1
Input
6 7 2
1 2 3 4 5 6
Output
3
Note
In the first example:
(0+1)(0^2 + 1^2) = 1 ≡ 1 mod 3.
(0+2)(0^2 + 2^2) = 8 ≡ 2 mod 3.
(1+2)(1^2 + 2^2) = 15 ≡ 0 mod 3.
So only 1 pair satisfies the condition.
In the second example, there are 3 such pairs: (1, 5), (2, 3), (4, 6). | "Template made by : https://codeforces.com/profile/c1729 , github repo : https://github.com/cheran-senthil/PyRival"
from __future__ import division, print_function
import bisect
import math
import itertools
import sys
from atexit import register
if sys.version_info[0] < 3:
from io import BytesIO as stream
else:
from io import StringIO as stream
if sys.version_info[0] < 3:
class dict(dict):
"""dict() -> new empty dictionary"""
def items(self):
"""D.items() -> a set-like object providing a view on D's items"""
return dict.iteritems(self)
def keys(self):
"""D.keys() -> a set-like object providing a view on D's keys"""
return dict.iterkeys(self)
def values(self):
"""D.values() -> an object providing a view on D's values"""
return dict.itervalues(self)
input = raw_input
range = xrange
filter = itertools.ifilter
map = itertools.imap
zip = itertools.izip
def sync_with_stdio(sync=True):
"""Set whether the standard Python streams are allowed to buffer their I/O.
Args:
sync (bool, optional): The new synchronization setting.
"""
global input, flush
if sync:
flush = sys.stdout.flush
else:
sys.stdin = stream(sys.stdin.read())
input = lambda: sys.stdin.readline().rstrip('\r\n')
sys.stdout = stream()
register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
def main():
n,p,k=map(int,input().split())
l1=list(map(int,input().split()))
d1={}
for item in l1:
f=(item**4-k*item)%p
if f in d1:
d1[f]+=1
else :
d1[f]=1
ans=0
for k in d1:
ans+=(d1[k]*(d1[k]-1))//2
print(ans)
if __name__ == '__main__':
sync_with_stdio(False)
main() | 1Python2
| {
"input": [
"6 7 2\n1 2 3 4 5 6\n",
"3 3 0\n0 1 2\n",
"3 3 0\n0 2 1\n",
"2 2 1\n1 0\n",
"7 7 3\n4 0 5 3 1 2 6\n",
"2 2 0\n1 0\n",
"3 3 1\n0 2 1\n",
"3 3 2\n0 1 2\n",
"5 5 3\n3 0 4 1 2\n",
"2 37 5\n30 10\n",
"3 6 2\n0 1 2\n",
"2 37 4\n30 10\n",
"6 7 7\n1 2 3 4 5 6\n",
"6 7 7\n0 2 3 4 5 6\n",
"6 11 2\n1 2 3 4 5 6\n",
"2 37 0\n30 10\n",
"2 37 0\n30 1\n",
"2 37 0\n3 1\n",
"6 7 4\n1 2 3 4 5 6\n",
"6 10 2\n1 2 3 4 5 6\n",
"2 19 0\n30 10\n",
"2 37 0\n49 1\n",
"2 56 0\n3 1\n",
"6 10 2\n1 2 3 4 5 0\n",
"2 19 0\n11 10\n",
"2 56 0\n6 1\n",
"6 17 2\n1 2 3 4 5 0\n",
"2 56 0\n8 1\n",
"6 17 2\n1 2 3 4 8 0\n",
"2 56 -1\n8 1\n",
"2 2 2\n1 0\n",
"3 3 2\n0 2 1\n",
"2 30 5\n30 10\n",
"3 6 2\n0 1 3\n",
"6 11 2\n1 2 0 4 5 6\n",
"2 37 0\n30 15\n",
"2 37 1\n3 1\n",
"2 19 1\n30 10\n",
"2 34 0\n49 1\n",
"2 95 0\n3 1\n",
"2 19 0\n22 10\n",
"6 17 2\n1 2 3 7 8 0\n",
"2 56 -2\n8 1\n",
"2 3 2\n1 0\n",
"2 30 5\n30 8\n",
"3 6 1\n0 1 2\n",
"2 37 0\n35 15\n",
"2 37 1\n6 1\n",
"2 34 -1\n49 1\n",
"2 21 0\n22 10\n",
"6 17 2\n1 2 3 7 4 0\n",
"2 56 -2\n7 1\n",
"2 30 5\n30 4\n",
"2 44 0\n35 15\n",
"2 21 -1\n22 10\n",
"6 17 2\n1 2 3 8 4 0\n",
"2 56 -3\n7 1\n",
"2 15 5\n30 4\n",
"2 44 0\n35 16\n",
"2 56 -1\n7 1\n",
"2 15 5\n30 0\n",
"2 44 0\n35 24\n",
"2 15 5\n30 1\n",
"2 44 1\n35 24\n",
"2 15 5\n29 1\n",
"2 44 1\n53 24\n",
"2 4 0\n1 0\n",
"3 6 0\n0 1 2\n",
"2 37 4\n33 10\n",
"6 11 3\n1 2 3 4 5 6\n",
"2 37 0\n30 21\n",
"2 37 -1\n3 1\n",
"2 56 0\n0 1\n",
"6 20 2\n1 2 3 4 5 0\n",
"2 19 0\n11 17\n",
"2 56 0\n6 0\n",
"6 17 2\n1 2 3 4 7 0\n",
"6 21 2\n1 2 3 4 8 0\n",
"2 8 -1\n8 1\n",
"2 30 5\n30 15\n",
"2 37 0\n5 15\n"
],
"output": [
"3",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0\n",
"1\n",
"0\n",
"3\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"2\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"1\n",
"0\n"
]
} | 2CODEFORCES
|
1189_E. Count Pairs_37865 | You are given a prime number p, n integers a_1, a_2, …, a_n, and an integer k.
Find the number of pairs of indexes (i, j) (1 ≤ i < j ≤ n) for which (a_i + a_j)(a_i^2 + a_j^2) ≡ k mod p.
Input
The first line contains integers n, p, k (2 ≤ n ≤ 3 ⋅ 10^5, 2 ≤ p ≤ 10^9, 0 ≤ k ≤ p-1). p is guaranteed to be prime.
The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ p-1). It is guaranteed that all elements are different.
Output
Output a single integer — answer to the problem.
Examples
Input
3 3 0
0 1 2
Output
1
Input
6 7 2
1 2 3 4 5 6
Output
3
Note
In the first example:
(0+1)(0^2 + 1^2) = 1 ≡ 1 mod 3.
(0+2)(0^2 + 2^2) = 8 ≡ 2 mod 3.
(1+2)(1^2 + 2^2) = 15 ≡ 0 mod 3.
So only 1 pair satisfies the condition.
In the second example, there are 3 such pairs: (1, 5), (2, 3), (4, 6). | #include <bits/stdc++.h>
using namespace std;
vector<long long int> v;
map<long long int, long long int> m1;
set<long long int> st;
long long int fep(long long int x, long long int y, long long int mod) {
long long int res = 1;
while (y > 0) {
if (y & 1) res = (res * x) % mod;
y = y >> 1;
x = (x * x) % mod;
}
return res % mod;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
long long int n, i, m, j, k, x, y, a, b, p, sm = 0;
string s;
cin >> n >> p >> k;
for (i = 0; i < n; i++) {
cin >> x;
a = (x * x) % p;
a = (a * a) % p;
a -= (k * x) % p;
a = (a + p) % p;
st.insert(a);
m1[a]++;
}
set<long long int>::iterator it;
for (it = st.begin(); it != st.end(); it++) {
x = m1[*it];
sm += (x * (x - 1)) / 2;
}
cout << sm;
return 0;
}
| 2C++
| {
"input": [
"6 7 2\n1 2 3 4 5 6\n",
"3 3 0\n0 1 2\n",
"3 3 0\n0 2 1\n",
"2 2 1\n1 0\n",
"7 7 3\n4 0 5 3 1 2 6\n",
"2 2 0\n1 0\n",
"3 3 1\n0 2 1\n",
"3 3 2\n0 1 2\n",
"5 5 3\n3 0 4 1 2\n",
"2 37 5\n30 10\n",
"3 6 2\n0 1 2\n",
"2 37 4\n30 10\n",
"6 7 7\n1 2 3 4 5 6\n",
"6 7 7\n0 2 3 4 5 6\n",
"6 11 2\n1 2 3 4 5 6\n",
"2 37 0\n30 10\n",
"2 37 0\n30 1\n",
"2 37 0\n3 1\n",
"6 7 4\n1 2 3 4 5 6\n",
"6 10 2\n1 2 3 4 5 6\n",
"2 19 0\n30 10\n",
"2 37 0\n49 1\n",
"2 56 0\n3 1\n",
"6 10 2\n1 2 3 4 5 0\n",
"2 19 0\n11 10\n",
"2 56 0\n6 1\n",
"6 17 2\n1 2 3 4 5 0\n",
"2 56 0\n8 1\n",
"6 17 2\n1 2 3 4 8 0\n",
"2 56 -1\n8 1\n",
"2 2 2\n1 0\n",
"3 3 2\n0 2 1\n",
"2 30 5\n30 10\n",
"3 6 2\n0 1 3\n",
"6 11 2\n1 2 0 4 5 6\n",
"2 37 0\n30 15\n",
"2 37 1\n3 1\n",
"2 19 1\n30 10\n",
"2 34 0\n49 1\n",
"2 95 0\n3 1\n",
"2 19 0\n22 10\n",
"6 17 2\n1 2 3 7 8 0\n",
"2 56 -2\n8 1\n",
"2 3 2\n1 0\n",
"2 30 5\n30 8\n",
"3 6 1\n0 1 2\n",
"2 37 0\n35 15\n",
"2 37 1\n6 1\n",
"2 34 -1\n49 1\n",
"2 21 0\n22 10\n",
"6 17 2\n1 2 3 7 4 0\n",
"2 56 -2\n7 1\n",
"2 30 5\n30 4\n",
"2 44 0\n35 15\n",
"2 21 -1\n22 10\n",
"6 17 2\n1 2 3 8 4 0\n",
"2 56 -3\n7 1\n",
"2 15 5\n30 4\n",
"2 44 0\n35 16\n",
"2 56 -1\n7 1\n",
"2 15 5\n30 0\n",
"2 44 0\n35 24\n",
"2 15 5\n30 1\n",
"2 44 1\n35 24\n",
"2 15 5\n29 1\n",
"2 44 1\n53 24\n",
"2 4 0\n1 0\n",
"3 6 0\n0 1 2\n",
"2 37 4\n33 10\n",
"6 11 3\n1 2 3 4 5 6\n",
"2 37 0\n30 21\n",
"2 37 -1\n3 1\n",
"2 56 0\n0 1\n",
"6 20 2\n1 2 3 4 5 0\n",
"2 19 0\n11 17\n",
"2 56 0\n6 0\n",
"6 17 2\n1 2 3 4 7 0\n",
"6 21 2\n1 2 3 4 8 0\n",
"2 8 -1\n8 1\n",
"2 30 5\n30 15\n",
"2 37 0\n5 15\n"
],
"output": [
"3",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0\n",
"1\n",
"0\n",
"3\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"2\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"1\n",
"0\n"
]
} | 2CODEFORCES
|
1189_E. Count Pairs_37866 | You are given a prime number p, n integers a_1, a_2, …, a_n, and an integer k.
Find the number of pairs of indexes (i, j) (1 ≤ i < j ≤ n) for which (a_i + a_j)(a_i^2 + a_j^2) ≡ k mod p.
Input
The first line contains integers n, p, k (2 ≤ n ≤ 3 ⋅ 10^5, 2 ≤ p ≤ 10^9, 0 ≤ k ≤ p-1). p is guaranteed to be prime.
The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ p-1). It is guaranteed that all elements are different.
Output
Output a single integer — answer to the problem.
Examples
Input
3 3 0
0 1 2
Output
1
Input
6 7 2
1 2 3 4 5 6
Output
3
Note
In the first example:
(0+1)(0^2 + 1^2) = 1 ≡ 1 mod 3.
(0+2)(0^2 + 2^2) = 8 ≡ 2 mod 3.
(1+2)(1^2 + 2^2) = 15 ≡ 0 mod 3.
So only 1 pair satisfies the condition.
In the second example, there are 3 such pairs: (1, 5), (2, 3), (4, 6). | from collections import Counter
n, p, k = map(int, input().split())
arr = [ (x ** 4 - k * x) % p for x in list(map(int, input().split())) ]
print( sum([ (x * (x - 1)) // 2 for x in Counter(arr).values() ]) )
| 3Python3
| {
"input": [
"6 7 2\n1 2 3 4 5 6\n",
"3 3 0\n0 1 2\n",
"3 3 0\n0 2 1\n",
"2 2 1\n1 0\n",
"7 7 3\n4 0 5 3 1 2 6\n",
"2 2 0\n1 0\n",
"3 3 1\n0 2 1\n",
"3 3 2\n0 1 2\n",
"5 5 3\n3 0 4 1 2\n",
"2 37 5\n30 10\n",
"3 6 2\n0 1 2\n",
"2 37 4\n30 10\n",
"6 7 7\n1 2 3 4 5 6\n",
"6 7 7\n0 2 3 4 5 6\n",
"6 11 2\n1 2 3 4 5 6\n",
"2 37 0\n30 10\n",
"2 37 0\n30 1\n",
"2 37 0\n3 1\n",
"6 7 4\n1 2 3 4 5 6\n",
"6 10 2\n1 2 3 4 5 6\n",
"2 19 0\n30 10\n",
"2 37 0\n49 1\n",
"2 56 0\n3 1\n",
"6 10 2\n1 2 3 4 5 0\n",
"2 19 0\n11 10\n",
"2 56 0\n6 1\n",
"6 17 2\n1 2 3 4 5 0\n",
"2 56 0\n8 1\n",
"6 17 2\n1 2 3 4 8 0\n",
"2 56 -1\n8 1\n",
"2 2 2\n1 0\n",
"3 3 2\n0 2 1\n",
"2 30 5\n30 10\n",
"3 6 2\n0 1 3\n",
"6 11 2\n1 2 0 4 5 6\n",
"2 37 0\n30 15\n",
"2 37 1\n3 1\n",
"2 19 1\n30 10\n",
"2 34 0\n49 1\n",
"2 95 0\n3 1\n",
"2 19 0\n22 10\n",
"6 17 2\n1 2 3 7 8 0\n",
"2 56 -2\n8 1\n",
"2 3 2\n1 0\n",
"2 30 5\n30 8\n",
"3 6 1\n0 1 2\n",
"2 37 0\n35 15\n",
"2 37 1\n6 1\n",
"2 34 -1\n49 1\n",
"2 21 0\n22 10\n",
"6 17 2\n1 2 3 7 4 0\n",
"2 56 -2\n7 1\n",
"2 30 5\n30 4\n",
"2 44 0\n35 15\n",
"2 21 -1\n22 10\n",
"6 17 2\n1 2 3 8 4 0\n",
"2 56 -3\n7 1\n",
"2 15 5\n30 4\n",
"2 44 0\n35 16\n",
"2 56 -1\n7 1\n",
"2 15 5\n30 0\n",
"2 44 0\n35 24\n",
"2 15 5\n30 1\n",
"2 44 1\n35 24\n",
"2 15 5\n29 1\n",
"2 44 1\n53 24\n",
"2 4 0\n1 0\n",
"3 6 0\n0 1 2\n",
"2 37 4\n33 10\n",
"6 11 3\n1 2 3 4 5 6\n",
"2 37 0\n30 21\n",
"2 37 -1\n3 1\n",
"2 56 0\n0 1\n",
"6 20 2\n1 2 3 4 5 0\n",
"2 19 0\n11 17\n",
"2 56 0\n6 0\n",
"6 17 2\n1 2 3 4 7 0\n",
"6 21 2\n1 2 3 4 8 0\n",
"2 8 -1\n8 1\n",
"2 30 5\n30 15\n",
"2 37 0\n5 15\n"
],
"output": [
"3",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0\n",
"1\n",
"0\n",
"3\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"2\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"1\n",
"0\n"
]
} | 2CODEFORCES
|
1189_E. Count Pairs_37867 | You are given a prime number p, n integers a_1, a_2, …, a_n, and an integer k.
Find the number of pairs of indexes (i, j) (1 ≤ i < j ≤ n) for which (a_i + a_j)(a_i^2 + a_j^2) ≡ k mod p.
Input
The first line contains integers n, p, k (2 ≤ n ≤ 3 ⋅ 10^5, 2 ≤ p ≤ 10^9, 0 ≤ k ≤ p-1). p is guaranteed to be prime.
The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ p-1). It is guaranteed that all elements are different.
Output
Output a single integer — answer to the problem.
Examples
Input
3 3 0
0 1 2
Output
1
Input
6 7 2
1 2 3 4 5 6
Output
3
Note
In the first example:
(0+1)(0^2 + 1^2) = 1 ≡ 1 mod 3.
(0+2)(0^2 + 2^2) = 8 ≡ 2 mod 3.
(1+2)(1^2 + 2^2) = 15 ≡ 0 mod 3.
So only 1 pair satisfies the condition.
In the second example, there are 3 such pairs: (1, 5), (2, 3), (4, 6). | import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
import java.util.Map.Entry;
public class zz{
static long[]memo;
static int[]occ;
static long mod=(long)(1e9)+7;
static long dp(int i) {
if(i<0)return 0;
if(memo[i]!=-1)return memo[i];
if(occ[i]==0) {
int j=i;
while(j>0 && occ[j]==0) {
j--;
}
return memo[i]=dp(j);
}
return memo[i]=Math.max(dp(i-2)+occ[i],dp(i-1));
}
static int o=0;
static class ft {
int[][]tree;
int max_x;int max_y;
ft(int x,int y){
tree=new int[x+1][y+1];
max_x=x;max_y=y;
}
void update(int x , int y , int val){
int y1;
while (x <= max_x){
y1 = y;
while (y1 <= max_y){
tree[x][y1] += val;
y1 += (y1 & -y1);
}
x += (x & -x);
}
}
int read(int x,int y){
int sum = 0;
int y1;
while (x >0){
y1 = y;
while (y1 >0){
sum+=tree[x][y1];
y1 -= (y1 & -y1);
}
x -= (x & -x);
}
return sum;
}
int sum(int lx,int rx,int ly,int ry) {
return read(rx,ry)-read(rx,ly-1)-read(lx-1,ry)+read(lx-1,ly-1);
}
}
static boolean []v;
static int dfs(int i) {
v[i]=true;
int sum=0;int prev=0;
for(pair j:adj[i]) {
if(!v[j.num]) {
int x=dfs(j.num)+j.idx;
sum+=x+Math.min(x,prev);
prev=x;
}
}
return sum;
}
static int max=-1;
static boolean sum(int n) {
int x=0;
while(n>0) {
x+=n%10;
n/=10;
}
if(x%4==0)return true;
return false;
}
public static void main(String[] args) throws IOException{
MScanner sc = new MScanner(System.in);
PrintWriter pw=new PrintWriter(System.out);
int n=sc.nextInt();
int p=sc.nextInt();
int k=sc.nextInt();
HashMap<Integer,Integer>map=new HashMap<Integer, Integer>();
long ans=0;
for(int i=0;i<n;i++) {
int x=sc.nextInt();
int wanted=(int)((((((x*1l*x)%p)*x)%p)*x)%p)-(int)((k*1l*x)%p);
if(wanted<0)wanted+=p;
int occ=map.getOrDefault(wanted,0);
ans+=occ;
map.put(wanted,occ+1);
}
pw.println(ans);
pw.flush();
}
static LinkedList<pair>adj[];
static LinkedList<Integer>lang[];
static long fastpow(long n,long ti) {
if (ti == 0)
return 1l;
if(ti%2==0) {
long y=fastpow(n, ti/2);
long k=y*y;
k%=mod;
return k;
}
else {
long y=fastpow(n, ti/2);
long k=n*y*y;
k%=mod;
return k;
}
}
static long gcd(long a, long b) {
if (b == 0)
return a;
return gcd(b, a % b);
}
static int[]primes;
static int sizeofp=0;
static int[] isComposite;
static void sieve(int N) // O(N log log N)
{
isComposite = new int[N+1];
isComposite[0] = isComposite[1] = 1;
primes = new int[N];
for (int i = 2; i <= N; ++i)
if (isComposite[i] == 0)
{
primes[sizeofp++]=i;;
if(1l * i * i <= N)
for (int j = i * i; j <= N; j += i)
isComposite[j] = 1;
}
}
static class pair implements Comparable<pair>{
int num;int idx;
pair(int x,int y){
num=x;idx=y;
}
@Override
public int compareTo(pair o) {
if(num!=o.num) {
return num-o.num;
}
return idx-o.idx;
}
public boolean equals(pair o) {
if(this.compareTo(o)==0)return true;
return false;
}
public String toString() {
return "("+0+" "+0+")";
}
}
static class MScanner
{
StringTokenizer st;
BufferedReader br;
public MScanner(InputStream s){ br = new BufferedReader(new InputStreamReader(s));}
public String next() throws IOException
{
while (st == null || !st.hasMoreTokens())
st = new StringTokenizer(br.readLine());
return st.nextToken();
}
public int nextInt() throws IOException {return Integer.parseInt(next());}
public long nextLong() throws IOException {return Long.parseLong(next());}
public String nextLine() throws IOException {return br.readLine();}
public double nextDouble() throws IOException
{
String x = next();
StringBuilder sb = new StringBuilder("0");
double res = 0, f = 1;
boolean dec = false, neg = false;
int start = 0;
if(x.charAt(0) == '-')
{
neg = true;
start++;
}
for(int i = start; i < x.length(); i++)
if(x.charAt(i) == '.')
{
res = Long.parseLong(sb.toString());
sb = new StringBuilder("0");
dec = true;
}
else
{
sb.append(x.charAt(i));
if(dec)
f *= 10;
}
res += Long.parseLong(sb.toString()) / f;
return res * (neg?-1:1);
}
public boolean ready() throws IOException {return br.ready();}
}
} | 4JAVA
| {
"input": [
"6 7 2\n1 2 3 4 5 6\n",
"3 3 0\n0 1 2\n",
"3 3 0\n0 2 1\n",
"2 2 1\n1 0\n",
"7 7 3\n4 0 5 3 1 2 6\n",
"2 2 0\n1 0\n",
"3 3 1\n0 2 1\n",
"3 3 2\n0 1 2\n",
"5 5 3\n3 0 4 1 2\n",
"2 37 5\n30 10\n",
"3 6 2\n0 1 2\n",
"2 37 4\n30 10\n",
"6 7 7\n1 2 3 4 5 6\n",
"6 7 7\n0 2 3 4 5 6\n",
"6 11 2\n1 2 3 4 5 6\n",
"2 37 0\n30 10\n",
"2 37 0\n30 1\n",
"2 37 0\n3 1\n",
"6 7 4\n1 2 3 4 5 6\n",
"6 10 2\n1 2 3 4 5 6\n",
"2 19 0\n30 10\n",
"2 37 0\n49 1\n",
"2 56 0\n3 1\n",
"6 10 2\n1 2 3 4 5 0\n",
"2 19 0\n11 10\n",
"2 56 0\n6 1\n",
"6 17 2\n1 2 3 4 5 0\n",
"2 56 0\n8 1\n",
"6 17 2\n1 2 3 4 8 0\n",
"2 56 -1\n8 1\n",
"2 2 2\n1 0\n",
"3 3 2\n0 2 1\n",
"2 30 5\n30 10\n",
"3 6 2\n0 1 3\n",
"6 11 2\n1 2 0 4 5 6\n",
"2 37 0\n30 15\n",
"2 37 1\n3 1\n",
"2 19 1\n30 10\n",
"2 34 0\n49 1\n",
"2 95 0\n3 1\n",
"2 19 0\n22 10\n",
"6 17 2\n1 2 3 7 8 0\n",
"2 56 -2\n8 1\n",
"2 3 2\n1 0\n",
"2 30 5\n30 8\n",
"3 6 1\n0 1 2\n",
"2 37 0\n35 15\n",
"2 37 1\n6 1\n",
"2 34 -1\n49 1\n",
"2 21 0\n22 10\n",
"6 17 2\n1 2 3 7 4 0\n",
"2 56 -2\n7 1\n",
"2 30 5\n30 4\n",
"2 44 0\n35 15\n",
"2 21 -1\n22 10\n",
"6 17 2\n1 2 3 8 4 0\n",
"2 56 -3\n7 1\n",
"2 15 5\n30 4\n",
"2 44 0\n35 16\n",
"2 56 -1\n7 1\n",
"2 15 5\n30 0\n",
"2 44 0\n35 24\n",
"2 15 5\n30 1\n",
"2 44 1\n35 24\n",
"2 15 5\n29 1\n",
"2 44 1\n53 24\n",
"2 4 0\n1 0\n",
"3 6 0\n0 1 2\n",
"2 37 4\n33 10\n",
"6 11 3\n1 2 3 4 5 6\n",
"2 37 0\n30 21\n",
"2 37 -1\n3 1\n",
"2 56 0\n0 1\n",
"6 20 2\n1 2 3 4 5 0\n",
"2 19 0\n11 17\n",
"2 56 0\n6 0\n",
"6 17 2\n1 2 3 4 7 0\n",
"6 21 2\n1 2 3 4 8 0\n",
"2 8 -1\n8 1\n",
"2 30 5\n30 15\n",
"2 37 0\n5 15\n"
],
"output": [
"3",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0\n",
"1\n",
"0\n",
"3\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"2\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"1\n",
"0\n"
]
} | 2CODEFORCES
|
1208_F. Bits And Pieces_37868 | You are given an array a of n integers.
You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k.
Here \& denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND), and | denotes the [bitwise OR operation](https://en.wikipedia.org/wiki/Bitwise_operation#OR).
Input
The first line of input contains the integer n (3 ≤ n ≤ 10^{6}), the size of the array a.
Next line contains n space separated integers a_1, a_2, ..., a_n (0 ≤ a_{i} ≤ 2 ⋅ 10^{6}), representing the elements of the array a.
Output
Output a single integer, the maximum value of the expression given in the statement.
Examples
Input
3
2 4 6
Output
6
Input
4
2 8 4 7
Output
12
Note
In the first example, the only possible triplet is (1, 2, 3). Hence, the answer is 2 | (4 \& 6) = 6.
In the second example, there are 4 possible triplets:
1. (1, 2, 3), value of which is 2|(8\&4) = 2.
2. (1, 2, 4), value of which is 2|(8\&7) = 2.
3. (1, 3, 4), value of which is 2|(4\&7) = 6.
4. (2, 3, 4), value of which is 8|(4\&7) = 12.
The maximum value hence is 12. | #include <bits/stdc++.h>
using namespace std;
const int maxn = 2e6 + 5;
int n;
int a[maxn];
int f[maxn];
int read() {
int x;
scanf("%d", &x);
return x;
}
int lowbit(int x) { return x & -x; }
int insert(int x, int y) {
if (f[x | y] > 1) return 0;
f[x | y]++;
for (int nx = x, ny = 0; nx; nx ^= lowbit(nx)) {
insert(nx ^ lowbit(nx), ny | y);
ny |= lowbit(nx);
}
return 0;
}
int main() {
int i, j;
n = read();
for (i = 0; i < n; i++) {
a[n - i] = read();
}
int ans = 0;
for (i = 1; i <= n; i++) {
int ret = 0;
for (j = 20; j >= 0; j--) {
if ((a[i] >> j) & 1) continue;
if (f[ret | (1 << j)] > 1) ret |= (1 << j);
}
if (i > 2) ans = max(ans, a[i] | ret);
insert(a[i], 0);
}
printf("%d\n", ans);
return 0;
}
| 2C++
| {
"input": [
"3\n2 4 6\n",
"4\n2 8 4 7\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 89 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 25 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 31 57 31 93 29 25 63 57 91 91 93\n",
"3\n2 0 0\n",
"3\n0 0 1\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 43 47 47 78 98 63 63 43 69 86 43 67 63 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 73 97 79 63 65\n",
"4\n6 1 6 4\n",
"3\n2 4 2\n",
"3\n1 5 15\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 80 26 89 30 36 88 48 12 61 34 97 8 7 70 77 74 90 36 28 97 37 18 44 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 115 116 111 118 97 108 111 118 97 33 32 80 114 111 116 99 104 101 110 107 111 32 112 105 116 117 104\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 89 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 31 57 31 93 29 25 63 57 91 91 93\n",
"3\n3 0 0\n",
"3\n0 1 1\n",
"4\n6 0 6 4\n",
"3\n2 5 15\n",
"4\n2 8 4 1\n",
"3\n0 1 0\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 17 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 178 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 1 57 31 93 29 25 63 57 91 91 93\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 63 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 73 97 79 63 65\n",
"3\n3 4 2\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 80 26 89 30 36 88 48 12 61 34 97 8 7 70 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 118 97 108 111 118 97 33 32 80 114 111 116 99 104 101 110 107 111 32 112 105 116 117 104\n",
"3\n3 4 6\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 89 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 1 57 31 93 29 25 63 57 91 91 93\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 63 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 60 97 79 63 65\n",
"4\n6 0 8 4\n",
"3\n3 4 3\n",
"3\n2 3 15\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 80 26 89 30 36 88 48 12 61 34 97 8 7 40 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 118 97 108 111 118 97 9 32 80 114 111 116 99 104 101 110 107 111 32 112 105 116 117 104\n",
"3\n3 5 6\n",
"4\n4 8 4 1\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 17 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 1 57 31 93 29 25 63 57 91 91 93\n",
"3\n1 1 1\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 8 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 60 97 79 63 65\n",
"4\n6 0 14 4\n",
"3\n3 4 5\n",
"3\n2 3 5\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 92 26 89 30 36 88 48 12 61 34 97 8 7 40 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 118 97 108 111 118 97 9 32 80 114 111 116 99 104 101 110 107 111 17 112 105 116 117 104\n",
"3\n6 5 6\n",
"4\n1 8 4 1\n",
"3\n1 0 1\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 43 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 8 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 60 97 79 63 65\n",
"4\n6 0 16 4\n",
"3\n3 4 8\n",
"3\n0 3 5\n",
"75\n18 6 93 51 70 10 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 92 26 89 30 36 88 48 12 61 34 97 8 7 40 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 90 97 108 111 118 97 9 32 80 114 111 116 99 104 101 110 107 111 17 112 105 116 117 104\n",
"3\n6 5 5\n"
],
"output": [
"6\n",
"12\n",
"127\n",
"2\n",
"0\n",
"127\n",
"6\n",
"2\n",
"5\n",
"127\n",
"127\n",
"127\n",
"3\n",
"1\n",
"6\n",
"7\n",
"8\n",
"0\n",
"255\n",
"127\n",
"3\n",
"127\n",
"127\n",
"7\n",
"127\n",
"127\n",
"6\n",
"3\n",
"3\n",
"127\n",
"127\n",
"7\n",
"8\n",
"127\n",
"1\n",
"127\n",
"6\n",
"7\n",
"3\n",
"127\n",
"127\n",
"6\n",
"8\n",
"1\n",
"127\n",
"6\n",
"3\n",
"1\n",
"127\n",
"127\n",
"7\n"
]
} | 2CODEFORCES
|
1208_F. Bits And Pieces_37869 | You are given an array a of n integers.
You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k.
Here \& denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND), and | denotes the [bitwise OR operation](https://en.wikipedia.org/wiki/Bitwise_operation#OR).
Input
The first line of input contains the integer n (3 ≤ n ≤ 10^{6}), the size of the array a.
Next line contains n space separated integers a_1, a_2, ..., a_n (0 ≤ a_{i} ≤ 2 ⋅ 10^{6}), representing the elements of the array a.
Output
Output a single integer, the maximum value of the expression given in the statement.
Examples
Input
3
2 4 6
Output
6
Input
4
2 8 4 7
Output
12
Note
In the first example, the only possible triplet is (1, 2, 3). Hence, the answer is 2 | (4 \& 6) = 6.
In the second example, there are 4 possible triplets:
1. (1, 2, 3), value of which is 2|(8\&4) = 2.
2. (1, 2, 4), value of which is 2|(8\&7) = 2.
3. (1, 3, 4), value of which is 2|(4\&7) = 6.
4. (2, 3, 4), value of which is 8|(4\&7) = 12.
The maximum value hence is 12. | import java.io.*; import java.util.*;
public class CF1208F{
static class FastReader
{
BufferedReader br;
StringTokenizer st;
public FastReader()
{
br = new BufferedReader(new
InputStreamReader(System.in));
}
String next()
{
while (st == null || !st.hasMoreElements())
{
try
{
st = new StringTokenizer(br.readLine());
}
catch (IOException e)
{
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt()
{
return Integer.parseInt(next());
}
}
static int MOD=998244353;
static int[] f; static int[] g;
static int M=21;
public static void main(String[] args){
FastReader br=new FastReader();
int N=br.nextInt();
f=new int[1<<M]; g=new int[1<<M];
Arrays.fill(f, -1);Arrays.fill(g, -1);
int j; int[] a=new int[N];
for(int i=0;i<N;i++) {
j=br.nextInt(); a[i]=j;
if(f[j]==-1)f[j]=i;
else{
g[j]=f[j]; f[j]=i;
}
}
//System.out.println(Arrays.toString(f));System.out.println(Arrays.toString(g));
for(int i=(1<<M)-1; i>=0; i--) {
for( j=0; j<M; j++) {
if((i&(1<<j))>0) {
merge(g[i],f[i],i^(1<<j));
//System.out.println(i+" "+(i^(1<<j)));
//System.out.println("f: "+Arrays.toString(f));
//System.out.println("g: "+Arrays.toString(g));
}
}
}
//System.out.println(Arrays.toString(f));System.out.println(Arrays.toString(g));
int max=0; int S;
for(int i=0;i<N-2;i++) {
S=0;
for(int b=M-1; b>=0; b--) {
if((a[i]&(1<<b))==0) {
if(g[S|(1<<b)]>i) {
S|=(1<<b);
}
}
}
//System.out.println(a[i]|S);
max=Math.max(max, a[i]|S);
}
System.out.println(max);
}
public static void merge(int a, int b, int mask) { // a<b
if(b>f[mask]) {
g[mask]=f[mask]; f[mask]=b;
if(a>g[mask]) {
g[mask]=a;
}
}else if(b>g[mask] && b!=f[mask]) {// NO DUPS!!
g[mask]=b;
}
if(a>g[mask]) {
g[mask]=a;
}
}
}
//Debugging:
//Are you sure your algorithm is correct?
//Bounds: long
//Special cases: n=0,1?
//Make sure you remove your debugging code before you submit! | 4JAVA
| {
"input": [
"3\n2 4 6\n",
"4\n2 8 4 7\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 89 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 25 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 31 57 31 93 29 25 63 57 91 91 93\n",
"3\n2 0 0\n",
"3\n0 0 1\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 43 47 47 78 98 63 63 43 69 86 43 67 63 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 73 97 79 63 65\n",
"4\n6 1 6 4\n",
"3\n2 4 2\n",
"3\n1 5 15\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 80 26 89 30 36 88 48 12 61 34 97 8 7 70 77 74 90 36 28 97 37 18 44 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 115 116 111 118 97 108 111 118 97 33 32 80 114 111 116 99 104 101 110 107 111 32 112 105 116 117 104\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 89 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 31 57 31 93 29 25 63 57 91 91 93\n",
"3\n3 0 0\n",
"3\n0 1 1\n",
"4\n6 0 6 4\n",
"3\n2 5 15\n",
"4\n2 8 4 1\n",
"3\n0 1 0\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 17 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 178 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 1 57 31 93 29 25 63 57 91 91 93\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 63 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 73 97 79 63 65\n",
"3\n3 4 2\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 80 26 89 30 36 88 48 12 61 34 97 8 7 70 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 118 97 108 111 118 97 33 32 80 114 111 116 99 104 101 110 107 111 32 112 105 116 117 104\n",
"3\n3 4 6\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 89 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 1 57 31 93 29 25 63 57 91 91 93\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 63 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 60 97 79 63 65\n",
"4\n6 0 8 4\n",
"3\n3 4 3\n",
"3\n2 3 15\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 80 26 89 30 36 88 48 12 61 34 97 8 7 40 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 118 97 108 111 118 97 9 32 80 114 111 116 99 104 101 110 107 111 32 112 105 116 117 104\n",
"3\n3 5 6\n",
"4\n4 8 4 1\n",
"71\n25 25 91 91 61 57 99 25 93 89 99 29 31 25 29 17 93 89 91 27 95 95 25 57 63 97 89 93 27 31 61 89 99 59 93 95 29 31 59 99 89 17 25 29 59 89 31 27 63 57 61 89 59 95 91 89 95 59 29 31 1 57 31 93 29 25 63 57 91 91 93\n",
"3\n1 1 1\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 47 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 8 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 60 97 79 63 65\n",
"4\n6 0 14 4\n",
"3\n3 4 5\n",
"3\n2 3 5\n",
"75\n18 6 93 51 70 18 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 92 26 89 30 36 88 48 12 61 34 97 8 7 40 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 118 97 108 111 118 97 9 32 80 114 111 116 99 104 101 110 107 111 17 112 105 116 117 104\n",
"3\n6 5 6\n",
"4\n1 8 4 1\n",
"3\n1 0 1\n",
"69\n43 63 71 47 63 43 65 91 70 59 59 77 59 59 63 63 47 63 43 43 63 73 43 43 43 47 83 43 91 63 47 74 64 59 63 47 47 47 78 98 63 63 43 69 86 43 67 8 76 87 84 47 47 63 87 63 100 98 80 47 47 59 99 90 60 97 79 63 65\n",
"4\n6 0 16 4\n",
"3\n3 4 8\n",
"3\n0 3 5\n",
"75\n18 6 93 51 70 10 15 49 94 48 99 52 16 14 22 84 59 81 22 62 55 26 5 90 76 51 92 26 89 30 36 88 48 12 61 34 97 8 7 40 77 74 90 36 28 97 37 18 27 51 96 23 7 48 84 37 46 33 99 42 3 32 61 72 45 6 66 45 71 2 18 18 96 46 41\n",
"42\n82 97 122 98 97 110 116 101 32 117 114 121 32 112 117 75 116 111 90 97 108 111 118 97 9 32 80 114 111 116 99 104 101 110 107 111 17 112 105 116 117 104\n",
"3\n6 5 5\n"
],
"output": [
"6\n",
"12\n",
"127\n",
"2\n",
"0\n",
"127\n",
"6\n",
"2\n",
"5\n",
"127\n",
"127\n",
"127\n",
"3\n",
"1\n",
"6\n",
"7\n",
"8\n",
"0\n",
"255\n",
"127\n",
"3\n",
"127\n",
"127\n",
"7\n",
"127\n",
"127\n",
"6\n",
"3\n",
"3\n",
"127\n",
"127\n",
"7\n",
"8\n",
"127\n",
"1\n",
"127\n",
"6\n",
"7\n",
"3\n",
"127\n",
"127\n",
"6\n",
"8\n",
"1\n",
"127\n",
"6\n",
"3\n",
"1\n",
"127\n",
"127\n",
"7\n"
]
} | 2CODEFORCES
|
1227_E. Arson In Berland Forest_37870 | The Berland Forest can be represented as an infinite cell plane. Every cell contains a tree. That is, contained before the recent events.
A destructive fire raged through the Forest, and several trees were damaged by it. Precisely speaking, you have a n × m rectangle map which represents the damaged part of the Forest. The damaged trees were marked as "X" while the remaining ones were marked as ".". You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged.
The firemen quickly extinguished the fire, and now they are investigating the cause of it. The main version is that there was an arson: at some moment of time (let's consider it as 0) some trees were set on fire. At the beginning of minute 0, only the trees that were set on fire initially were burning. At the end of each minute, the fire spread from every burning tree to each of 8 neighboring trees. At the beginning of minute T, the fire was extinguished.
The firemen want to find the arsonists as quickly as possible. The problem is, they know neither the value of T (how long the fire has been raging) nor the coordinates of the trees that were initially set on fire. They want you to find the maximum value of T (to know how far could the arsonists escape) and a possible set of trees that could be initially set on fire.
Note that you'd like to maximize value T but the set of trees can be arbitrary.
Input
The first line contains two integer n and m (1 ≤ n, m ≤ 10^6, 1 ≤ n ⋅ m ≤ 10^6) — the sizes of the map.
Next n lines contain the map. The i-th line corresponds to the i-th row of the map and contains m-character string. The j-th character of the i-th string is "X" if the corresponding tree is burnt and "." otherwise.
It's guaranteed that the map contains at least one "X".
Output
In the first line print the single integer T — the maximum time the Forest was on fire. In the next n lines print the certificate: the map (n × m rectangle) where the trees that were set on fire are marked as "X" and all other trees are marked as ".".
Examples
Input
3 6
XXXXXX
XXXXXX
XXXXXX
Output
1
......
.X.XX.
......
Input
10 10
.XXXXXX...
.XXXXXX...
.XXXXXX...
.XXXXXX...
.XXXXXXXX.
...XXXXXX.
...XXXXXX.
...XXXXXX.
...XXXXXX.
..........
Output
2
..........
..........
...XX.....
..........
..........
..........
.....XX...
..........
..........
..........
Input
4 5
X....
..XXX
..XXX
..XXX
Output
0
X....
..XXX
..XXX
..XXX | #include <bits/stdc++.h>
using namespace std;
template <typename T>
bool MinPlace(T &a, const T &b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <typename T>
bool MaxPlace(T &a, const T &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
int dr[8] = {0, -1, -1, -1, 0, 1, 1, 1};
int dc[8] = {1, 1, 0, -1, -1, -1, 0, 1};
vector<pair<int, int> > centers;
bool check(int x, vector<vector<int> > &cnt, vector<string> &grid, int n, int m,
int store = 0) {
int dist[n + 1][m + 1];
bool visited[n + 1][m + 1];
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
dist[i][j] = (long long)1e9;
visited[i][j] = false;
}
}
queue<pair<int, int> > q;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
int cost = (i + x <= n && i - x >= 1 && j + x <= m && j - x >= 1)
? (cnt[i + x][j + x] - cnt[i + x][j - x - 1] -
cnt[i - x - 1][j + x] + cnt[i - x - 1][j - x - 1])
: 0;
if (cost == (2 * x + 1) * (2 * x + 1)) {
dist[i][j] = 0;
q.push({i, j});
visited[i][j] = true;
}
}
}
if (store == 1) {
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
if (visited[i][j])
cout << 'X';
else
cout << '.';
}
cout << "\n";
}
return 0;
}
while (!q.empty()) {
auto t = q.front();
q.pop();
int cost = dist[t.first][t.second];
for (int j = 0; j < 8; j++) {
int r1 = t.first + dr[j];
int c1 = t.second + dc[j];
if (r1 >= 1 && r1 <= n && c1 >= 1 && c1 <= m && !visited[r1][c1]) {
dist[r1][c1] = 1 + cost;
visited[r1][c1] = true;
q.push({r1, c1});
}
}
}
int flag = 0;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
if (grid[i][j] == 'X' && dist[i][j] > x) {
flag = 1;
break;
}
}
}
return (flag == 0);
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
;
int n, m;
cin >> n >> m;
vector<string> grid(n + 1);
vector<vector<int> > cnt(n + 1, vector<int>(m + 1, 0));
for (int i = 1; i <= n; i++) {
string str;
cin >> str;
string str2 = "$" + str;
grid[i] = str2;
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
cnt[i][j] = cnt[i - 1][j] + cnt[i][j - 1] - cnt[i - 1][j - 1] +
(grid[i][j] == 'X');
}
}
int low = 0;
int high = max(n, m);
int mid;
while (high >= low) {
mid = low + (high - low) / 2;
if (check(mid, cnt, grid, n, m))
low = mid + 1;
else
high = mid - 1;
}
cout << high << endl;
check(high, cnt, grid, n, m, 1);
}
| 2C++
| {
"input": [
"3 6\nXXXXXX\nXXXXXX\nXXXXXX\n",
"10 10\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"4 5\nX....\n..XXX\n..XXX\n..XXX\n",
"1 1\nX\n",
"17 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"20 20\n....................\n....................\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXX.\n..XXXXXXXXXXXXXXXXX.\n..XXXXXXXXXXXXXXXXX.\n..XXXXXXXXXXXXXXXXX.\n",
"3 6\nXXXXXX\nXXXXXX\nXXXXXX\n",
"13 12\n............\n...XXX..XXXX\n.XXXXXX.XXXX\n.XXXXXX.XXXX\n.XXXXXXXXXXX\n.XXXXXXXXXXX\n.XXX..XXXXXX\nXXXXXXXX....\nXXXXXXXXXX..\nXXXXXXXXXXX.\n.....XXXXXXX\n.....XXXXXXX\n.....XXXXXXX\n",
"15 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"5 5\n..XXX\n..XXX\nXXXXX\nXXXX.\nXXX..\n",
"7 5\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"4 11\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.XXX...\n",
"7 7\nXXXXXXX\nXXXXXXX\nXXXXXXX\nXX...XX\nXXXXXXX\nXXXXXXX\nXXXXXXX\n",
"3 8\nXXX..XXX\nXXXXXXXX\nXXXXXXXX\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n...XXX.\n....XXX\n....XXX\n....XXX\n",
"7 11\nXXX.XXX.XXX\nXXX.XXX.XXX\nXXX.XXX.XXX\n.XXXXXXXXX.\n..XXX.XXX..\n..XXX.XXX..\n..XXX.XXX..\n",
"10 12\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n......XXX...\n......X..X..\n..X....XX..X\n",
"11 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1 6\nXXXXXX\nXXXXXX\nXXXXXX\n",
"5 5\n..XXX\n..XXX\nXXXXX\nXXXX.\n..XXX\n",
"7 5\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"4 11\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.X.XX..\n",
"10 10\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"5 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n..XXX\n",
"7 5\nXXX..\n..XXX\nXXX..\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"4 11\n.XXX.XXX...\n...XXXXXXX.\n.XXXXXXX...\n.XXX.X.XX..\n",
"10 10\n.XXXXXX...\n...XXXXXX.\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"15 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"7 5\n..XXX\nX..XX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n....XXX\n....XXX\n",
"5 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XXX.\n",
"15 14\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\n....XXX\n",
"1 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XXX.\n",
"15 14\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n..XXXXXXXXXXX.\n",
"17 17\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"8 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"5 5\n..XXX\nXXX..\nXXXXX\nXXXX.\nXXX..\n",
"6 5\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\n..XXX\n..XXX\nXXX..\nXXX..\nXXX..\nXXX..\n",
"10 10\n.XXXXXX...\n.X.XXXXX..\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n.X..XX.\n....XXX\n",
"5 5\n..XXX\n..XXX\nXXXXX\nXXXX.\n.XXX.\n",
"17 17\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\nXXXXXXXXXXXXXXX..\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"6 5\n..XXX\nXXX..\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\nX.XX.\n..XXX\nXXX..\nXXX..\nXXX..\nXXX..\n",
"10 10\n.XXXXXX...\n.X.XXXXX..\n.XX.XXX..X\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"1 5\nXXX..\nXXX..\nXXXXX\nXXXX.\n.XWX.\n",
"9 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\nXXXXXXXXX.XX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"4 5\n..XXX\nXXX..\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\nX.XX.\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\n.XX.X\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"3 8\nXXX.XXX.\nXXXXXXXX\nXXXXXXXX\n",
"7 12\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n......XXX...\n......X..X..\n..X....XX..X\n",
"10 10\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n.XXXXXX...\n..........\n",
"2 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"7 5\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\n..XXX\nXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nX....XX\n....XXX\n",
"11 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXWXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"15 14\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXX.XXXXXXX.X\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\nXXX....\n",
"17 17\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1 6\nXXXXXX\nXXXXXX\nXWXXXX\n",
"11 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXWXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1 6\nXXXXXX\nXXXXXX\nXWYXXX\n",
"1 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XWX.\n",
"8 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\nXXXXXXXXX.XX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"1 6\nXXXXXX\nXXXXXX\nXXXXWX\n",
"1 5\n..XXX\nXXX..\nYXXXX\nXXXX.\n.XXX.\n"
],
"output": [
"1\n......\n.XXXX.\n......\n",
"2\n..........\n..........\n...XX.....\n..........\n..........\n..........\n.....XX...\n..........\n..........\n..........\n",
"0\nX....\n..XXX\n..XXX\n..XXX\n",
"0\nX\n",
"3\n.................\n.................\n.................\n.................\n........XXX......\n........XXXXX....\n........XXXXXX...\n.....XXXXXXXXX...\n....XXXXXXXXXX...\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n........XXXXXX...\n........XXX......\n........XXX......\n.................\n.................\n.................\n",
"6\n....................\n....................\n....................\n....................\n....................\n....................\n....................\n....................\n........XXXXXX......\n........XXXXXX......\n........XXXXX.......\n........XXXXX.......\n........XXXXX.......\n........XXXXX.......\n....................\n....................\n....................\n....................\n....................\n....................\n",
"1\n......\n.XXXX.\n......\n",
"1\n............\n............\n....X....XX.\n..XXXX...XX.\n..XXXX...XX.\n..X....XXXX.\n..X.........\n..X.........\n.XXXXXX.....\n......XXX...\n......XXXX..\n......XXXXX.\n............\n",
"2\n..............\n..............\n..............\n....XXXX......\n....XXXXXXXX..\n....XXXXXXX...\n..XXXXXXXXX...\n....XXXXX.....\n....XXXXX.....\n....XXXXX.....\n....XXXXX.....\n....XXXXX.....\n...XXXXXXX....\n..............\n..............\n",
"0\n..XXX\n..XXX\nXXXXX\nXXXX.\nXXX..\n",
"0\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.XXX...\n",
"0\nXXXXXXX\nXXXXXXX\nXXXXXXX\nXX...XX\nXXXXXXX\nXXXXXXX\nXXXXXXX\n",
"0\nXXX..XXX\nXXXXXXXX\nXXXXXXXX\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n...XXX.\n....XXX\n....XXX\n....XXX\n",
"0\nXXX.XXX.XXX\nXXX.XXX.XXX\nXXX.XXX.XXX\n.XXXXXXXXX.\n..XXX.XXX..\n..XXX.XXX..\n..XXX.XXX..\n",
"0\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n......XXX...\n......X..X..\n..X....XX..X\n",
"2\n.................\n.................\n.................\n.......XXXXX.....\n.......XXXXXXX...\n.......XXXXXXXX..\n....XXXXXXXXXXX..\n...XXXXXXXXXXXX..\n...XXXXXXXXXXXX..\n.................\n.................\n",
"0\nXXXXXX\n",
"0\n..XXX\n..XXX\nXXXXX\nXXXX.\n..XXX\n",
"0\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.X.XX..\n",
"0\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\n..XXX\nXXX..\nXXXXX\nXXXX.\n..XXX\n",
"0\nXXX..\n..XXX\nXXX..\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX.XXX...\n...XXXXXXX.\n.XXXXXXX...\n.XXX.X.XX..\n",
"0\n.XXXXXX...\n...XXXXXX.\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"0\n..XXX\nX..XX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n....XXX\n....XXX\n",
"0\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XXX.\n",
"0\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\n....XXX\n",
"0\n..XXX\n",
"0\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n..XXXXXXXXXXX.\n",
"0\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1\n..............\n..............\n...XXXXXX.....\n...XXXXXXXXXX.\n...XXXXXXXXXX.\n.XXXXXXXXXXXX.\n.XXXXXXXXXXX..\n..............\n",
"0\n..XXX\nXXX..\nXXXXX\nXXXX.\nXXX..\n",
"0\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\n",
"1\n.....\n...X.\n.....\n.....\n.X...\n.X...\n.....\n",
"0\n.XXXXXX...\n.X.XXXXX..\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n.X..XX.\n....XXX\n",
"0\n..XXX\n..XXX\nXXXXX\nXXXX.\n.XXX.\n",
"0\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\nXXXXXXXXXXXXXXX..\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"0\n..XXX\nXXX..\n..XXX\n.XXX.\nXXX..\nXXX..\n",
"0\n..XXX\nX.XX.\n..XXX\nXXX..\nXXX..\nXXX..\nXXX..\n",
"0\n.XXXXXX...\n.X.XXXXX..\n.XX.XXX..X\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\nXXX..\n",
"2\n..............\n..............\n..............\n....XXXX......\n....XXXXXXXX..\n....XXXXXXX...\n..XXXXXXXXX...\n..............\n..............\n",
"0\n..XXX\nXXX..\n..XXX\n.XXX.\n",
"0\n..XXX\nX.XX.\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"0\n..XXX\n.XX.X\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"0\nXXX.XXX.\nXXXXXXXX\nXXXXXXXX\n",
"0\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n",
"0\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n.XXXXXX...\n..........\n",
"0\n.................\n.....XXXXXXXXX...\n",
"0\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\n..XXX\nXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nX....XX\n....XXX\n",
"0\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n",
"0\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXX.XXXXXXX.X\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\nXXX....\n",
"0\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"0\nXXXXXX\n",
"2\n.................\n.................\n.................\n.......XXXXX.....\n.......XXXXXXX...\n.......XXXXXXXX..\n....XXXXXXXXXXX..\n...XXXXXXXXXXXX..\n...XXXXXXXXXXXX..\n.................\n.................\n",
"0\nXXXXXX\n",
"0\n..XXX\n",
"1\n..............\n..............\n...XXXXXX.....\n...XXXXXXXXXX.\n...XXXXXXXXXX.\n.XXXXXXXXXXXX.\n.XXXXXXXXXXX..\n..............\n",
"0\nXXXXXX\n",
"0\n..XXX\n"
]
} | 2CODEFORCES
|
1227_E. Arson In Berland Forest_37871 | The Berland Forest can be represented as an infinite cell plane. Every cell contains a tree. That is, contained before the recent events.
A destructive fire raged through the Forest, and several trees were damaged by it. Precisely speaking, you have a n × m rectangle map which represents the damaged part of the Forest. The damaged trees were marked as "X" while the remaining ones were marked as ".". You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged.
The firemen quickly extinguished the fire, and now they are investigating the cause of it. The main version is that there was an arson: at some moment of time (let's consider it as 0) some trees were set on fire. At the beginning of minute 0, only the trees that were set on fire initially were burning. At the end of each minute, the fire spread from every burning tree to each of 8 neighboring trees. At the beginning of minute T, the fire was extinguished.
The firemen want to find the arsonists as quickly as possible. The problem is, they know neither the value of T (how long the fire has been raging) nor the coordinates of the trees that were initially set on fire. They want you to find the maximum value of T (to know how far could the arsonists escape) and a possible set of trees that could be initially set on fire.
Note that you'd like to maximize value T but the set of trees can be arbitrary.
Input
The first line contains two integer n and m (1 ≤ n, m ≤ 10^6, 1 ≤ n ⋅ m ≤ 10^6) — the sizes of the map.
Next n lines contain the map. The i-th line corresponds to the i-th row of the map and contains m-character string. The j-th character of the i-th string is "X" if the corresponding tree is burnt and "." otherwise.
It's guaranteed that the map contains at least one "X".
Output
In the first line print the single integer T — the maximum time the Forest was on fire. In the next n lines print the certificate: the map (n × m rectangle) where the trees that were set on fire are marked as "X" and all other trees are marked as ".".
Examples
Input
3 6
XXXXXX
XXXXXX
XXXXXX
Output
1
......
.X.XX.
......
Input
10 10
.XXXXXX...
.XXXXXX...
.XXXXXX...
.XXXXXX...
.XXXXXXXX.
...XXXXXX.
...XXXXXX.
...XXXXXX.
...XXXXXX.
..........
Output
2
..........
..........
...XX.....
..........
..........
..........
.....XX...
..........
..........
..........
Input
4 5
X....
..XXX
..XXX
..XXX
Output
0
X....
..XXX
..XXX
..XXX | import java.util.*;
import java.io.*;
public class Main {
public static void main(String args[]) {new Main().run();}
FastReader in = new FastReader();
PrintWriter out = new PrintWriter(System.out);
void run(){
work();
out.flush();
}
long mod=1000000007;
long inf=Long.MAX_VALUE;
long gcd(long a,long b) {
return a==0?b:gcd(b%a,a);
}
int[][] dir={{0,1},{1,0},{-1,0},{0,-1},{1,1},{-1,-1},{-1,1},{1,-1}};
int[][] A;
int[][] count;
int n,m;
void work() {
n=ni();
m=ni();
A=new int[n+2][m+2];
count=new int[n+2][m+2];
for(int i=1;i<=n;i++) {
String str=ns();
for(int j=1;j<=m;j++) {
if(str.charAt(j-1)=='X') {
A[i][j]=1;
}
}
}
LinkedList<int[]> queue=new LinkedList<>();
for(int i=0;i<=n+1;i++) {
for(int j=0;j<=m+1;j++) {
if(A[i][j]==0)queue.add(new int[]{i,j});
}
}
int cnt=0;
while(queue.size()>0) {
cnt++;
int len=queue.size();
while(len-->0) {
int[] q=queue.poll();
int x=q[0],y=q[1];
for(int i=0;i<8;i++) {
int nx=x+dir[i][0],ny=y+dir[i][1];
if(nx<0||nx>=n+2||ny<0||ny>=m+2||A[nx][ny]==0||count[nx][ny]>0)continue;
count[nx][ny]=cnt;
queue.add(new int[] {nx,ny});
}
}
}
int l=0,r=Math.min(n,m);
while(l<r) {
int mid=(l+r)/2;
if(check(mid)) {
l=mid+1;
}else {
r=mid;
}
}
out.println(l-1);
for(int i=1;i<=n;i++) {
for(int j=1;j<=m;j++) {
if(count[i][j]>l-1) {
out.print('X');
}else {
out.print('.');
}
}
out.println();
}
}
private boolean check(int d) {
int[][] B=new int[n+2][m+2];
LinkedList<int[]> queue=new LinkedList<>();
for(int i=0;i<=n+1;i++) {
for(int j=0;j<=m+1;j++) {
if(count[i][j]>d) {
queue.add(new int[] {i,j});
B[i][j]=1;
}
}
}
for(int c=0;queue.size()>0&&c<d;c++) {
int len=queue.size();
while(len-->0) {
int[] q=queue.poll();
int x=q[0],y=q[1];
for(int i=0;i<8;i++) {
int nx=x+dir[i][0],ny=y+dir[i][1];
if(nx<0||nx>=n+2||ny<0||ny>=m+2||B[nx][ny]==1)continue;
B[nx][ny]=1;
queue.add(new int[] {nx,ny});
}
}
}
for(int i=0;i<=n+1;i++) {
for(int j=0;j<=m+1;j++) {
if(A[i][j]!=B[i][j])return false;
}
}
return true;
}
//input
@SuppressWarnings("unused")
private ArrayList<Integer>[] ng(int n, int m) {
ArrayList<Integer>[] graph=(ArrayList<Integer>[])new ArrayList[n];
for(int i=0;i<n;i++) {
graph[i]=new ArrayList<>();
}
for(int i=1;i<=m;i++) {
int s=in.nextInt()-1,e=in.nextInt()-1;
graph[s].add(e);
graph[e].add(s);
}
return graph;
}
private ArrayList<long[]>[] ngw(int n, int m) {
ArrayList<long[]>[] graph=(ArrayList<long[]>[])new ArrayList[n];
for(int i=0;i<n;i++) {
graph[i]=new ArrayList<>();
}
for(int i=1;i<=m;i++) {
long s=in.nextLong()-1,e=in.nextLong()-1,w=in.nextLong();
graph[(int)s].add(new long[] {e,w,i});
graph[(int)e].add(new long[] {s,w});
}
return graph;
}
private int ni() {
return in.nextInt();
}
private long nl() {
return in.nextLong();
}
private String ns() {
return in.next();
}
private long[] na(int n) {
long[] A=new long[n];
for(int i=0;i<n;i++) {
A[i]=in.nextLong();
}
return A;
}
private int[] nia(int n) {
int[] A=new int[n];
for(int i=0;i<n;i++) {
A[i]=in.nextInt();
}
return A;
}
}
class FastReader
{
BufferedReader br;
StringTokenizer st;
public FastReader()
{
br=new BufferedReader(new InputStreamReader(System.in));
}
public String next()
{
while(st==null || !st.hasMoreElements())//回车，空行情况
{
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
public int nextInt()
{
return Integer.parseInt(next());
}
public long nextLong()
{
return Long.parseLong(next());
}
}
| 4JAVA
| {
"input": [
"3 6\nXXXXXX\nXXXXXX\nXXXXXX\n",
"10 10\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"4 5\nX....\n..XXX\n..XXX\n..XXX\n",
"1 1\nX\n",
"17 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"20 20\n....................\n....................\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXXXX.\n..XXXXXXXXXXXXXXXXX.\n..XXXXXXXXXXXXXXXXX.\n..XXXXXXXXXXXXXXXXX.\n",
"3 6\nXXXXXX\nXXXXXX\nXXXXXX\n",
"13 12\n............\n...XXX..XXXX\n.XXXXXX.XXXX\n.XXXXXX.XXXX\n.XXXXXXXXXXX\n.XXXXXXXXXXX\n.XXX..XXXXXX\nXXXXXXXX....\nXXXXXXXXXX..\nXXXXXXXXXXX.\n.....XXXXXXX\n.....XXXXXXX\n.....XXXXXXX\n",
"15 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"5 5\n..XXX\n..XXX\nXXXXX\nXXXX.\nXXX..\n",
"7 5\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"4 11\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.XXX...\n",
"7 7\nXXXXXXX\nXXXXXXX\nXXXXXXX\nXX...XX\nXXXXXXX\nXXXXXXX\nXXXXXXX\n",
"3 8\nXXX..XXX\nXXXXXXXX\nXXXXXXXX\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n...XXX.\n....XXX\n....XXX\n....XXX\n",
"7 11\nXXX.XXX.XXX\nXXX.XXX.XXX\nXXX.XXX.XXX\n.XXXXXXXXX.\n..XXX.XXX..\n..XXX.XXX..\n..XXX.XXX..\n",
"10 12\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n......XXX...\n......X..X..\n..X....XX..X\n",
"11 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1 6\nXXXXXX\nXXXXXX\nXXXXXX\n",
"5 5\n..XXX\n..XXX\nXXXXX\nXXXX.\n..XXX\n",
"7 5\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"4 11\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.X.XX..\n",
"10 10\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"5 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n..XXX\n",
"7 5\nXXX..\n..XXX\nXXX..\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"4 11\n.XXX.XXX...\n...XXXXXXX.\n.XXXXXXX...\n.XXX.X.XX..\n",
"10 10\n.XXXXXX...\n...XXXXXX.\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"15 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"7 5\n..XXX\nX..XX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n....XXX\n....XXX\n",
"5 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XXX.\n",
"15 14\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\n....XXX\n",
"1 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XXX.\n",
"15 14\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n..XXXXXXXXXXX.\n",
"17 17\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"8 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"5 5\n..XXX\nXXX..\nXXXXX\nXXXX.\nXXX..\n",
"6 5\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\n..XXX\n..XXX\nXXX..\nXXX..\nXXX..\nXXX..\n",
"10 10\n.XXXXXX...\n.X.XXXXX..\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n.X..XX.\n....XXX\n",
"5 5\n..XXX\n..XXX\nXXXXX\nXXXX.\n.XXX.\n",
"17 17\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\nXXXXXXXXXXXXXXX..\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"6 5\n..XXX\nXXX..\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\nX.XX.\n..XXX\nXXX..\nXXX..\nXXX..\nXXX..\n",
"10 10\n.XXXXXX...\n.X.XXXXX..\n.XX.XXX..X\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"1 5\nXXX..\nXXX..\nXXXXX\nXXXX.\n.XWX.\n",
"9 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\nXXXXXXXXX.XX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"4 5\n..XXX\nXXX..\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\nX.XX.\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"7 5\n..XXX\n.XX.X\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"3 8\nXXX.XXX.\nXXXXXXXX\nXXXXXXXX\n",
"7 12\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n......XXX...\n......X..X..\n..X....XX..X\n",
"10 10\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n.XXXXXX...\n..........\n",
"2 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"7 5\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\n..XXX\nXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nX....XX\n....XXX\n",
"11 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXWXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"15 14\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXX.XXXXXXX.X\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"8 7\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\nXXX....\n",
"17 17\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1 6\nXXXXXX\nXXXXXX\nXWXXXX\n",
"11 17\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXWXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1 6\nXXXXXX\nXXXXXX\nXWYXXX\n",
"1 5\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XWX.\n",
"8 14\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\nXXXXXXXXX.XX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n",
"1 6\nXXXXXX\nXXXXXX\nXXXXWX\n",
"1 5\n..XXX\nXXX..\nYXXXX\nXXXX.\n.XXX.\n"
],
"output": [
"1\n......\n.XXXX.\n......\n",
"2\n..........\n..........\n...XX.....\n..........\n..........\n..........\n.....XX...\n..........\n..........\n..........\n",
"0\nX....\n..XXX\n..XXX\n..XXX\n",
"0\nX\n",
"3\n.................\n.................\n.................\n.................\n........XXX......\n........XXXXX....\n........XXXXXX...\n.....XXXXXXXXX...\n....XXXXXXXXXX...\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n........XXXXXX...\n........XXX......\n........XXX......\n.................\n.................\n.................\n",
"6\n....................\n....................\n....................\n....................\n....................\n....................\n....................\n....................\n........XXXXXX......\n........XXXXXX......\n........XXXXX.......\n........XXXXX.......\n........XXXXX.......\n........XXXXX.......\n....................\n....................\n....................\n....................\n....................\n....................\n",
"1\n......\n.XXXX.\n......\n",
"1\n............\n............\n....X....XX.\n..XXXX...XX.\n..XXXX...XX.\n..X....XXXX.\n..X.........\n..X.........\n.XXXXXX.....\n......XXX...\n......XXXX..\n......XXXXX.\n............\n",
"2\n..............\n..............\n..............\n....XXXX......\n....XXXXXXXX..\n....XXXXXXX...\n..XXXXXXXXX...\n....XXXXX.....\n....XXXXX.....\n....XXXXX.....\n....XXXXX.....\n....XXXXX.....\n...XXXXXXX....\n..............\n..............\n",
"0\n..XXX\n..XXX\nXXXXX\nXXXX.\nXXX..\n",
"0\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.XXX...\n",
"0\nXXXXXXX\nXXXXXXX\nXXXXXXX\nXX...XX\nXXXXXXX\nXXXXXXX\nXXXXXXX\n",
"0\nXXX..XXX\nXXXXXXXX\nXXXXXXXX\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n...XXX.\n....XXX\n....XXX\n....XXX\n",
"0\nXXX.XXX.XXX\nXXX.XXX.XXX\nXXX.XXX.XXX\n.XXXXXXXXX.\n..XXX.XXX..\n..XXX.XXX..\n..XXX.XXX..\n",
"0\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n......XXX...\n......X..X..\n..X....XX..X\n",
"2\n.................\n.................\n.................\n.......XXXXX.....\n.......XXXXXXX...\n.......XXXXXXXX..\n....XXXXXXXXXXX..\n...XXXXXXXXXXXX..\n...XXXXXXXXXXXX..\n.................\n.................\n",
"0\nXXXXXX\n",
"0\n..XXX\n..XXX\nXXXXX\nXXXX.\n..XXX\n",
"0\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX.XXX...\n.XXXXXXX...\n.XXXXXXX...\n.XXX.X.XX..\n",
"0\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\n..XXX\nXXX..\nXXXXX\nXXXX.\n..XXX\n",
"0\nXXX..\n..XXX\nXXX..\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX.XXX...\n...XXXXXXX.\n.XXXXXXX...\n.XXX.X.XX..\n",
"0\n.XXXXXX...\n...XXXXXX.\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\n..............\n..XXXXXXXX....\n..XXXXXXXXXXXX\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"0\n..XXX\nX..XX\n..XXX\n.XXX.\nXXX..\nXXX..\nXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n....XXX\n....XXX\n",
"0\n..XXX\nXXX..\nXXXXX\nXXXX.\n.XXX.\n",
"0\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\n....XXX\n",
"0\n..XXX\n",
"0\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n..XXXXXXXXXXX.\n",
"0\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"1\n..............\n..............\n...XXXXXX.....\n...XXXXXXXXXX.\n...XXXXXXXXXX.\n.XXXXXXXXXXXX.\n.XXXXXXXXXXX..\n..............\n",
"0\n..XXX\nXXX..\nXXXXX\nXXXX.\nXXX..\n",
"0\n..XXX\n..XXX\n..XXX\n.XXX.\nXXX..\nXXX..\n",
"1\n.....\n...X.\n.....\n.....\n.X...\n.X...\n.....\n",
"0\n.XXXXXX...\n.X.XXXXX..\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\n.X..XX.\n....XXX\n",
"0\n..XXX\n..XXX\nXXXXX\nXXXX.\n.XXX.\n",
"0\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\nXXXXXXXXXXXXXXX..\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"0\n..XXX\nXXX..\n..XXX\n.XXX.\nXXX..\nXXX..\n",
"0\n..XXX\nX.XX.\n..XXX\nXXX..\nXXX..\nXXX..\nXXX..\n",
"0\n.XXXXXX...\n.X.XXXXX..\n.XX.XXX..X\n.XXXXXX...\n.XXXXXXXX.\n..XXXXX.X.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n..........\n",
"0\nXXX..\n",
"2\n..............\n..............\n..............\n....XXXX......\n....XXXXXXXX..\n....XXXXXXX...\n..XXXXXXXXX...\n..............\n..............\n",
"0\n..XXX\nXXX..\n..XXX\n.XXX.\n",
"0\n..XXX\nX.XX.\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"0\n..XXX\n.XX.X\n..XXX\nXX..X\nXXX..\nXXX..\nXXX..\n",
"0\nXXX.XXX.\nXXXXXXXX\nXXXXXXXX\n",
"0\n...X..X..XX.\n.....X......\n..X.........\n...X..XX...X\n.......X.X..\n....X...X.X.\n..........X.\n",
"0\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXX...\n.XXXXXXXX.\n...XXXXXX.\n...XXXXXX.\n...XXXXXX.\n.XXXXXX...\n..........\n",
"0\n.................\n.....XXXXXXXXX...\n",
"0\nXXX..\n..XXX\n..XXX\n.XXX.\nXXX..\n..XXX\nXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nX....XX\n....XXX\n",
"0\n.................\n.....XXXXXXXXX...\n.....XXXXXXXXXXX.\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n",
"0\n..............\n..XXXXXXXX....\nXXXXXXXXXXXX..\n..XXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXXX\nXXXXXXXXXXXXX.\nXXXXXXXXXXXXX.\n..XXXXXXXXX...\n.XXXXXXXXXXX..\n.XXX.XXXXXXX.X\n.XXXXXXXXXXX..\n.XXXXXX.XXXX.X\n.XXXXXXXXXXX..\n",
"0\n.XXX...\n.XXX...\n.XXX...\n..XXX..\n.XXX...\n....XXX\nXXX....\nXXX....\n",
"0\n.................\n.....XXXXXXXXX...\n.XXXXXXXXXXX.....\n.....XXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\nXXXXXXXXXXXXXXXX.\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n.XXXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n..XXXXXXXXXXXXXXX\n.....XXXXXXXXXXXX\n.....XXXXXXXXX...\n.....XXXXXXXXX...\n",
"0\nXXXXXX\n",
"2\n.................\n.................\n.................\n.......XXXXX.....\n.......XXXXXXX...\n.......XXXXXXXX..\n....XXXXXXXXXXX..\n...XXXXXXXXXXXX..\n...XXXXXXXXXXXX..\n.................\n.................\n",
"0\nXXXXXX\n",
"0\n..XXX\n",
"1\n..............\n..............\n...XXXXXX.....\n...XXXXXXXXXX.\n...XXXXXXXXXX.\n.XXXXXXXXXXXX.\n.XXXXXXXXXXX..\n..............\n",
"0\nXXXXXX\n",
"0\n..XXX\n"
]
} | 2CODEFORCES
|
126_B. Password_37872 | Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them.
A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s.
Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end.
Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened.
You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend.
Input
You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters.
Output
Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes.
Examples
Input
fixprefixsuffix
Output
fix
Input
abcdabc
Output
Just a legend | from __future__ import print_function # for PyPy2
from collections import Counter, OrderedDict
from itertools import permutations as perm
from collections import deque
from sys import stdin
from bisect import *
from heapq import *
import math
g = lambda : stdin.readline().strip()
gl = lambda : g().split()
gil = lambda : [int(var) for var in gl()]
gfl = lambda : [float(var) for var in gl()]
gcl = lambda : list(g())
gbs = lambda : [int(var) for var in g()]
mod = int(1e9)+7
inf = float("inf")
def createPi(pat):
n = len(pat)
pi = [0]*n
for i in range(1, n):
j = pi[i-1]
while j > 0 and pat[i]!=pat[j]:
j = pi[j-1]
pi[i] = j + (1 if s[i]==s[j] else 0)
return pi
def find(pat, string):
# print(pat, string)
pi = createPi(pat)
prev = 0
i = 0
while i < len(string):
# print(prev, i)
if string[i] == pat[prev]:
prev += 1;i+=1
elif prev:
prev = pi[prev-1]
else:
i += 1
if prev == len(pat): return True
return False
s = g()
n = len(s)
rs = s[::-1]
string = s[1:-1]
pi = createPi(s)
arr = [];prev=pi[-1]
while prev:
arr.append(prev)
prev = pi[prev-1]
l, r = 0, len(arr)-1
# print(l, r)
# print(arr)
ans = 0
while l <= r:
mid = (l+r)//2
idx = arr[mid]
# print(s[:idx][::-1], rs[:idx])
if s[:idx][::-1] == rs[:idx] and find(s[:idx], string):
r = mid - 1
ans = idx
else:
l = mid + 1
print(s[:ans] if ans else "Just a legend")
| 1Python2
| {
"input": [
"abcdabc\n",
"fixprefixsuffix\n",
"aaabaabaaaaab\n",
"abcabcabcabcabc\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuaizneqx\n",
"nfbdzgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aba\n",
"ab\n",
"papapapap\n",
"aaaabaaaaaaa\n",
"qwertyqwertyqwerty\n",
"aaa\n",
"kincenvizh\n",
"aaaaabaaaa\n",
"aaaaaaaaaa\n",
"abb\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghumnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"abc\n",
"abcazabca\n",
"a\n",
"aaabaaaabab\n",
"aab\n",
"ghghghgxghghghg\n",
"aabaaabaaaaab\n",
"aa\n",
"ghbdtn\n",
"aaabaababaaab\n",
"abcbacabcabcabc\n",
"paqapapap\n",
"aaaaaaabaaaa\n",
"aaaaaabaaa\n",
"abcayabca\n",
"ghhhghgxghghghg\n",
"baaaaabaaabaa\n",
"aabaabbaaaaab\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuajzneqx\n",
"nfbczgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bba\n",
"ba\n",
"pwertyqwertyqwerty\n",
"baa\n",
"lincenvizh\n",
"bb`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"`bc\n",
"b\n",
"aa`baaaabab\n",
"aa`\n",
"ac\n",
"ntdbhg\n",
"abcdacc\n",
"fixprefhxsuffix\n",
"baaababaabaaa\n",
"bbcaacabcabcabc\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpntnkktpqvykvnaoniskqkljtourymhlffxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmytxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aca\n",
"b`\n",
"paqapapaq\n",
"aaaaababaaaa\n",
"pwertyqwfrtyqwerty\n",
"ab`\n",
"hzivnecnil\n",
"aaabaaaaaa\n",
"bca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_bc\n",
"ybcaaabca\n",
"c\n",
"aa`baa`abab\n",
"ba`\n",
"ghhhghgxghghgig\n",
"baaaaabbaabaa\n",
"ca\n",
"gtdbhn\n",
"abccacc\n",
"fixprffhxsuffix\n",
"b`aababaabaaa\n",
"cbacbacbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaoniskqkljtourymhltfxqenziauwk\n",
"bjyyrfvlrhjbldgzdbfnfehlvwbwcmoutbjyyrfvlrhjbldgzdbfnbqvwiupgdxtymkuvclgxcazmsevbjyyrfvlrhjbldgzcbfn\n",
"ada\n",
"`b\n",
"qapapaqap\n",
"pwestyqwfrtyqwerty\n",
"a`b\n",
"lincenvizi\n",
"aaacaaaaaa\n",
"cca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cb\n",
"cbyaaabca\n",
"`\n",
"baba`aab`aa\n",
"bab\n",
"gighghgxghghhhg\n",
"`c\n",
"gtdbho\n",
"acccacc\n",
"fixprxfhfsuffix\n",
"b`aababaaaaaa\n",
"cbacbadbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaonitkqkljtourymhltfxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmxtxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bda\n",
"b_\n",
"qppaaaqap\n",
"pwestyqwfrtyqwdrty\n",
"b`b\n",
"izivnecnil\n",
"aaaaaacaaa\n",
"cc`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuzw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrsmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjejdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cc\n",
"dbyaaabca\n"
],
"output": [
"Just a legend\n",
"fix\n",
"Just a legend\n",
"abcabcabc\n",
"Just a legend\n",
"nfbdzgdlbjhrlvfryyjb\n",
"Just a legend\n",
"Just a legend\n",
"papap\n",
"aaaa\n",
"qwerty\n",
"a\n",
"Just a legend\n",
"aaaa\n",
"aaaaaaaa\n",
"Just a legend\n",
"Just a legend\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"Just a legend\n",
"a\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"ghghg\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"abc\n",
"p\n",
"aaaa\n",
"aaa\n",
"a\n",
"g\n",
"baa\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"baa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n"
]
} | 2CODEFORCES
|
126_B. Password_37873 | Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them.
A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s.
Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end.
Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened.
You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend.
Input
You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters.
Output
Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes.
Examples
Input
fixprefixsuffix
Output
fix
Input
abcdabc
Output
Just a legend | #include <bits/stdc++.h>
using namespace std;
string s;
void comp_z(vector<long> &z) {
long n = z.size();
z[0] = n;
long L = -1, R = -1;
for (int i = 1; i < n; i++) {
if (R < i) {
L = R = i;
while (R < n && s[R] == s[R - L]) R++;
z[i] = R - L;
R--;
} else {
long k = i - L;
if (z[k] < (R - i + 1)) {
z[i] = z[k];
} else {
L = i;
while (R < n && s[R] == s[R - L]) R++;
z[i] = R - L;
R--;
}
}
}
}
int main(void) {
cin >> s;
int n = s.length();
vector<long> z(n, 0);
comp_z(z);
long mx = 0, res = 0;
long i;
for (i = 1; i < n; i++) {
if (z[i] == (n - i) && mx >= (n - i)) {
res = n - i;
break;
}
mx = max(mx, z[i]);
}
if (res)
cout << s.substr(0, res);
else
cout << "Just a legend";
}
| 2C++
| {
"input": [
"abcdabc\n",
"fixprefixsuffix\n",
"aaabaabaaaaab\n",
"abcabcabcabcabc\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuaizneqx\n",
"nfbdzgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aba\n",
"ab\n",
"papapapap\n",
"aaaabaaaaaaa\n",
"qwertyqwertyqwerty\n",
"aaa\n",
"kincenvizh\n",
"aaaaabaaaa\n",
"aaaaaaaaaa\n",
"abb\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghumnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"abc\n",
"abcazabca\n",
"a\n",
"aaabaaaabab\n",
"aab\n",
"ghghghgxghghghg\n",
"aabaaabaaaaab\n",
"aa\n",
"ghbdtn\n",
"aaabaababaaab\n",
"abcbacabcabcabc\n",
"paqapapap\n",
"aaaaaaabaaaa\n",
"aaaaaabaaa\n",
"abcayabca\n",
"ghhhghgxghghghg\n",
"baaaaabaaabaa\n",
"aabaabbaaaaab\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuajzneqx\n",
"nfbczgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bba\n",
"ba\n",
"pwertyqwertyqwerty\n",
"baa\n",
"lincenvizh\n",
"bb`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"`bc\n",
"b\n",
"aa`baaaabab\n",
"aa`\n",
"ac\n",
"ntdbhg\n",
"abcdacc\n",
"fixprefhxsuffix\n",
"baaababaabaaa\n",
"bbcaacabcabcabc\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpntnkktpqvykvnaoniskqkljtourymhlffxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmytxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aca\n",
"b`\n",
"paqapapaq\n",
"aaaaababaaaa\n",
"pwertyqwfrtyqwerty\n",
"ab`\n",
"hzivnecnil\n",
"aaabaaaaaa\n",
"bca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_bc\n",
"ybcaaabca\n",
"c\n",
"aa`baa`abab\n",
"ba`\n",
"ghhhghgxghghgig\n",
"baaaaabbaabaa\n",
"ca\n",
"gtdbhn\n",
"abccacc\n",
"fixprffhxsuffix\n",
"b`aababaabaaa\n",
"cbacbacbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaoniskqkljtourymhltfxqenziauwk\n",
"bjyyrfvlrhjbldgzdbfnfehlvwbwcmoutbjyyrfvlrhjbldgzdbfnbqvwiupgdxtymkuvclgxcazmsevbjyyrfvlrhjbldgzcbfn\n",
"ada\n",
"`b\n",
"qapapaqap\n",
"pwestyqwfrtyqwerty\n",
"a`b\n",
"lincenvizi\n",
"aaacaaaaaa\n",
"cca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cb\n",
"cbyaaabca\n",
"`\n",
"baba`aab`aa\n",
"bab\n",
"gighghgxghghhhg\n",
"`c\n",
"gtdbho\n",
"acccacc\n",
"fixprxfhfsuffix\n",
"b`aababaaaaaa\n",
"cbacbadbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaonitkqkljtourymhltfxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmxtxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bda\n",
"b_\n",
"qppaaaqap\n",
"pwestyqwfrtyqwdrty\n",
"b`b\n",
"izivnecnil\n",
"aaaaaacaaa\n",
"cc`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuzw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrsmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjejdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cc\n",
"dbyaaabca\n"
],
"output": [
"Just a legend\n",
"fix\n",
"Just a legend\n",
"abcabcabc\n",
"Just a legend\n",
"nfbdzgdlbjhrlvfryyjb\n",
"Just a legend\n",
"Just a legend\n",
"papap\n",
"aaaa\n",
"qwerty\n",
"a\n",
"Just a legend\n",
"aaaa\n",
"aaaaaaaa\n",
"Just a legend\n",
"Just a legend\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"Just a legend\n",
"a\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"ghghg\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"abc\n",
"p\n",
"aaaa\n",
"aaa\n",
"a\n",
"g\n",
"baa\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"baa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n"
]
} | 2CODEFORCES
|
126_B. Password_37874 | Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them.
A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s.
Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end.
Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened.
You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend.
Input
You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters.
Output
Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes.
Examples
Input
fixprefixsuffix
Output
fix
Input
abcdabc
Output
Just a legend | from fractions import Fraction
import bisect
import os
from collections import Counter
import bisect
from collections import defaultdict
import math
import random
import heapq as hq
from math import sqrt
import sys
from functools import reduce, cmp_to_key
from collections import deque
import threading
from itertools import combinations
from io import BytesIO, IOBase
from itertools import accumulate
# sys.setrecursionlimit(200000)
# input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
def input():
return sys.stdin.readline().strip()
def iinput():
return int(input())
def tinput():
return input().split()
def rinput():
return map(int, tinput())
def rlinput():
return list(rinput())
mod = int(1e9)+7
def factors(n):
return set(reduce(list.__add__,
([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))
# ----------------------------------------------------
# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')
def zfunction(s):
n = len(s)
l, r = 0, 0
Z = [0]*n
for i in range(1, n):
if i <= r:
Z[i] = min(r-i+1, Z[i-l])
while i+Z[i] < n and s[Z[i]] == s[i+Z[i]]:
Z[i] += 1
if i+Z[i]-1 > r:
l, r = i, i+Z[i]-1
return Z
s = input()
n = len(s)
Z = zfunction(s)
# for i in range(n):
# Z[i] = min(i,Z[i])
# print(Z)
third = []
for i in range(n):
if i+Z[i] == n:
third.append(Z[i])
ll = len(third)
# flg = False
# print(Z)
# print(third)
ans = ""
if ll == 0:
ans = 'Just a legend'
elif ll == 1:
if Z.count(third[0]) >= 2 or max(Z) > third[0]:
ans = s[:third[0]]
else:
ans = 'Just a legend'
else:
if Z.count(third[0]) >= 2 or max(Z) > third[0]:
ans = s[:third[0]]
else:
ans = s[:third[1]]
print(ans)
| 3Python3
| {
"input": [
"abcdabc\n",
"fixprefixsuffix\n",
"aaabaabaaaaab\n",
"abcabcabcabcabc\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuaizneqx\n",
"nfbdzgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aba\n",
"ab\n",
"papapapap\n",
"aaaabaaaaaaa\n",
"qwertyqwertyqwerty\n",
"aaa\n",
"kincenvizh\n",
"aaaaabaaaa\n",
"aaaaaaaaaa\n",
"abb\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghumnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"abc\n",
"abcazabca\n",
"a\n",
"aaabaaaabab\n",
"aab\n",
"ghghghgxghghghg\n",
"aabaaabaaaaab\n",
"aa\n",
"ghbdtn\n",
"aaabaababaaab\n",
"abcbacabcabcabc\n",
"paqapapap\n",
"aaaaaaabaaaa\n",
"aaaaaabaaa\n",
"abcayabca\n",
"ghhhghgxghghghg\n",
"baaaaabaaabaa\n",
"aabaabbaaaaab\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuajzneqx\n",
"nfbczgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bba\n",
"ba\n",
"pwertyqwertyqwerty\n",
"baa\n",
"lincenvizh\n",
"bb`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"`bc\n",
"b\n",
"aa`baaaabab\n",
"aa`\n",
"ac\n",
"ntdbhg\n",
"abcdacc\n",
"fixprefhxsuffix\n",
"baaababaabaaa\n",
"bbcaacabcabcabc\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpntnkktpqvykvnaoniskqkljtourymhlffxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmytxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aca\n",
"b`\n",
"paqapapaq\n",
"aaaaababaaaa\n",
"pwertyqwfrtyqwerty\n",
"ab`\n",
"hzivnecnil\n",
"aaabaaaaaa\n",
"bca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_bc\n",
"ybcaaabca\n",
"c\n",
"aa`baa`abab\n",
"ba`\n",
"ghhhghgxghghgig\n",
"baaaaabbaabaa\n",
"ca\n",
"gtdbhn\n",
"abccacc\n",
"fixprffhxsuffix\n",
"b`aababaabaaa\n",
"cbacbacbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaoniskqkljtourymhltfxqenziauwk\n",
"bjyyrfvlrhjbldgzdbfnfehlvwbwcmoutbjyyrfvlrhjbldgzdbfnbqvwiupgdxtymkuvclgxcazmsevbjyyrfvlrhjbldgzcbfn\n",
"ada\n",
"`b\n",
"qapapaqap\n",
"pwestyqwfrtyqwerty\n",
"a`b\n",
"lincenvizi\n",
"aaacaaaaaa\n",
"cca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cb\n",
"cbyaaabca\n",
"`\n",
"baba`aab`aa\n",
"bab\n",
"gighghgxghghhhg\n",
"`c\n",
"gtdbho\n",
"acccacc\n",
"fixprxfhfsuffix\n",
"b`aababaaaaaa\n",
"cbacbadbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaonitkqkljtourymhltfxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmxtxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bda\n",
"b_\n",
"qppaaaqap\n",
"pwestyqwfrtyqwdrty\n",
"b`b\n",
"izivnecnil\n",
"aaaaaacaaa\n",
"cc`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuzw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrsmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjejdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cc\n",
"dbyaaabca\n"
],
"output": [
"Just a legend\n",
"fix\n",
"Just a legend\n",
"abcabcabc\n",
"Just a legend\n",
"nfbdzgdlbjhrlvfryyjb\n",
"Just a legend\n",
"Just a legend\n",
"papap\n",
"aaaa\n",
"qwerty\n",
"a\n",
"Just a legend\n",
"aaaa\n",
"aaaaaaaa\n",
"Just a legend\n",
"Just a legend\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"Just a legend\n",
"a\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"ghghg\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"abc\n",
"p\n",
"aaaa\n",
"aaa\n",
"a\n",
"g\n",
"baa\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"baa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n"
]
} | 2CODEFORCES
|
126_B. Password_37875 | Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them.
A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s.
Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end.
Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened.
You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend.
Input
You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters.
Output
Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes.
Examples
Input
fixprefixsuffix
Output
fix
Input
abcdabc
Output
Just a legend |
import java.util.Arrays;
import java.util.Scanner;
public class B126 {
public static void main(String args[])
{
Scanner in = new Scanner(System.in);
String s = in.nextLine();
int pos[]=new int[s.length()+1];
int flg[]=new int[s.length()+1];
int ind=0,l=s.length();
for(int i=1;i<l;i++)
{
while(ind>0 && s.charAt(ind)!=s.charAt(i)){
ind=pos[ind-1];
}
if(s.charAt(ind)==s.charAt(i))ind++;
pos[i]=ind;
flg[ind]++;
}
int len=pos[l-1];
if(len>0 && flg[len]<2)len=pos[len-1];
if(len==0)System.out.print("Just a legend");
else System.out.print(s.substring(0,len));
}
} | 4JAVA
| {
"input": [
"abcdabc\n",
"fixprefixsuffix\n",
"aaabaabaaaaab\n",
"abcabcabcabcabc\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuaizneqx\n",
"nfbdzgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aba\n",
"ab\n",
"papapapap\n",
"aaaabaaaaaaa\n",
"qwertyqwertyqwerty\n",
"aaa\n",
"kincenvizh\n",
"aaaaabaaaa\n",
"aaaaaaaaaa\n",
"abb\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghumnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"abc\n",
"abcazabca\n",
"a\n",
"aaabaaaabab\n",
"aab\n",
"ghghghgxghghghg\n",
"aabaaabaaaaab\n",
"aa\n",
"ghbdtn\n",
"aaabaababaaab\n",
"abcbacabcabcabc\n",
"paqapapap\n",
"aaaaaaabaaaa\n",
"aaaaaabaaa\n",
"abcayabca\n",
"ghhhghgxghghghg\n",
"baaaaabaaabaa\n",
"aabaabbaaaaab\n",
"kwuaizneqxfflhmyruotjlkqksinoanvkyvqptkkntnpjdyzicceelgooajdgpkneuhyvhdtmasiglplajxolxovlhkwuajzneqx\n",
"nfbczgdlbjhrlvfryyjbvtsmzacxglcvukmyexdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bba\n",
"ba\n",
"pwertyqwertyqwerty\n",
"baa\n",
"lincenvizh\n",
"bb`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqdedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdfsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"`bc\n",
"b\n",
"aa`baaaabab\n",
"aa`\n",
"ac\n",
"ntdbhg\n",
"abcdacc\n",
"fixprefhxsuffix\n",
"baaababaabaaa\n",
"bbcaacabcabcabc\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpntnkktpqvykvnaoniskqkljtourymhlffxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmytxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"aca\n",
"b`\n",
"paqapapaq\n",
"aaaaababaaaa\n",
"pwertyqwfrtyqwerty\n",
"ab`\n",
"hzivnecnil\n",
"aaabaaaaaa\n",
"bca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtvxakqwpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_bc\n",
"ybcaaabca\n",
"c\n",
"aa`baa`abab\n",
"ba`\n",
"ghhhghgxghghgig\n",
"baaaaabbaabaa\n",
"ca\n",
"gtdbhn\n",
"abccacc\n",
"fixprffhxsuffix\n",
"b`aababaabaaa\n",
"cbacbacbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaoniskqkljtourymhltfxqenziauwk\n",
"bjyyrfvlrhjbldgzdbfnfehlvwbwcmoutbjyyrfvlrhjbldgzdbfnbqvwiupgdxtymkuvclgxcazmsevbjyyrfvlrhjbldgzcbfn\n",
"ada\n",
"`b\n",
"qapapaqap\n",
"pwestyqwfrtyqwerty\n",
"a`b\n",
"lincenvizi\n",
"aaacaaaaaa\n",
"cca\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuyw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cb\n",
"cbyaaabca\n",
"`\n",
"baba`aab`aa\n",
"bab\n",
"gighghgxghghhhg\n",
"`c\n",
"gtdbho\n",
"acccacc\n",
"fixprxfhfsuffix\n",
"b`aababaaaaaa\n",
"cbacbadbacaacbb\n",
"xqenzjauwkhlvoxloxjalplgisamtdhvyhuenkpgdjaoogleeccizydjpnfnkktpqvykvnaonitkqkljtourymhltfxqenziauwk\n",
"nfbczgdlbjhrlvfryyjbvesmzacxglcvukmxtxdgpuiwvqbnfbdzgdlbjhrlvfryyjbtuomcwbwvlhefnfbdzgdlbjhrlvfryyjb\n",
"bda\n",
"b_\n",
"qppaaaqap\n",
"pwestyqwfrtyqwdrty\n",
"b`b\n",
"izivnecnil\n",
"aaaaaacaaa\n",
"cc`\n",
"amcksgurlgqzqizdauqminfzshiweejkevbazyzylrrghtmnvqeqqcedyopgtwxakqvpvxntxgrkrcxabhrgoxngrwrxrvcguuzw\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrsmtfcgxmcgpmvbxbyszdugvmoyjeeqsywcvuqskcjotyhvdijyslgfvyujxthngnonasgnbzzygyikheelirdgsvuicbiazfdeqecbtbdqnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytstzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgpccdtdteohtjjuicfjfcbzpynlqhecyqqrjpmexgfqywnfmusldgzvgnzdmuuujtkdfnlytzgstquwqpuccxbtbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjejdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"_cc\n",
"dbyaaabca\n"
],
"output": [
"Just a legend\n",
"fix\n",
"Just a legend\n",
"abcabcabc\n",
"Just a legend\n",
"nfbdzgdlbjhrlvfryyjb\n",
"Just a legend\n",
"Just a legend\n",
"papap\n",
"aaaa\n",
"qwerty\n",
"a\n",
"Just a legend\n",
"aaaa\n",
"aaaaaaaa\n",
"Just a legend\n",
"Just a legend\n",
"btbdpnzdenxueteteytvkwnegodyhmdwhmrmbftrifytzudumzlacwytsuzefqfpjesdblxhpcsidgksisjdmhyxmmugrjmtfcgxmcgp\n",
"Just a legend\n",
"a\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"ghghg\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"abc\n",
"p\n",
"aaaa\n",
"aaa\n",
"a\n",
"g\n",
"baa\n",
"aab\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"baa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"g\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"aaa\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n",
"Just a legend\n"
]
} | 2CODEFORCES
|
1292_A. NEKO's Maze Game_37876 | [3R2 as DJ Mashiro - Happiness Breeze](https://open.spotify.com/track/2qGqK8GRS65Wlf20qUBEak)
[Ice - DJ Mashiro is dead or alive](https://soundcloud.com/iceloki/dj-mashiro-is-dead-or-alive)
NEKO#ΦωΦ has just got a new maze game on her PC!
The game's main puzzle is a maze, in the forms of a 2 × n rectangle grid. NEKO's task is to lead a Nekomimi girl from cell (1, 1) to the gate at (2, n) and escape the maze. The girl can only move between cells sharing a common side.
However, at some moments during the game, some cells may change their state: either from normal ground to lava (which forbids movement into that cell), or vice versa (which makes that cell passable again). Initially all cells are of the ground type.
After hours of streaming, NEKO finally figured out there are only q such moments: the i-th moment toggles the state of cell (r_i, c_i) (either from ground to lava or vice versa).
Knowing this, NEKO wonders, after each of the q moments, whether it is still possible to move from cell (1, 1) to cell (2, n) without going through any lava cells.
Although NEKO is a great streamer and gamer, she still can't get through quizzes and problems requiring large amount of Brain Power. Can you help her?
Input
The first line contains integers n, q (2 ≤ n ≤ 10^5, 1 ≤ q ≤ 10^5).
The i-th of q following lines contains two integers r_i, c_i (1 ≤ r_i ≤ 2, 1 ≤ c_i ≤ n), denoting the coordinates of the cell to be flipped at the i-th moment.
It is guaranteed that cells (1, 1) and (2, n) never appear in the query list.
Output
For each moment, if it is possible to travel from cell (1, 1) to cell (2, n), print "Yes", otherwise print "No". There should be exactly q answers, one after every update.
You can print the words in any case (either lowercase, uppercase or mixed).
Example
Input
5 5
2 3
1 4
2 4
2 3
1 4
Output
Yes
No
No
No
Yes
Note
We'll crack down the example test here:
* After the first query, the girl still able to reach the goal. One of the shortest path ways should be: (1,1) → (1,2) → (1,3) → (1,4) → (1,5) → (2,5).
* After the second query, it's impossible to move to the goal, since the farthest cell she could reach is (1, 3).
* After the fourth query, the (2, 3) is not blocked, but now all the 4-th column is blocked, so she still can't reach the goal.
* After the fifth query, the column barrier has been lifted, thus she can go to the final goal again. | import os
import sys
from atexit import register
from io import BytesIO
sys.stdin = BytesIO(os.read(0, os.fstat(0).st_size))
sys.stdout = BytesIO()
register(lambda: os.write(1, sys.stdout.getvalue()))
input = lambda: sys.stdin.readline().rstrip('\r\n')
raw_input = lambda: sys.stdin.readline().rstrip('\r\n')
n,q = map(int,raw_input().split(" "))
bad = 0
mat = [[0]*n for i in range(2)]
for i in range(q):
a,b = map(int,raw_input().split(" "))
a-=1
b-=1
if mat[a][b] == 0:
if mat[(a+1)%2][b] == 1:
bad += 1
if b>= 1:
# if mat[a][b-1] == 1:
# bad += 1
if mat[(a+1)%2][b-1] == 1:
bad += 1
if b<n-1:
# if mat[a][b+1] == 1:
# bad += 1
if mat[(a+1)%2][b+1] == 1:
bad += 1
else:
if mat[(a+1)%2][b] == 1:
bad -= 1
if b>= 1:
# if mat[a][b-1] == 1:
# bad -= 1
if mat[(a+1)%2][b-1] == 1:
bad -= 1
if b<n-1:
# if mat[a][b+1] == 1:
# bad -= 1
if mat[(a+1)%2][b+1] == 1:
bad -= 1
mat[a][b] ^= 1
if bad>0:
print "No"
else:
print "Yes"
| 1Python2
| {
"input": [
"5 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"4 1\n1 4\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"2 4\n2 1\n1 2\n1 2\n1 2\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n1 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"2 2\n2 1\n1 2\n",
"3 68\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 3\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"5 5\n2 3\n1 3\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 4\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 72326\n1 72325\n2 96580\n2 8490\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"100000 6\n1 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 33667\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 96147\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 2542\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 79\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n2 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 16\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n2 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"7 5\n2 4\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 7\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n2 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 96147\n1 22965\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 57\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"100000 46\n1 82674\n2 82673\n2 89002\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 146\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 8490\n2 72324\n2 91418\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"100000 6\n2 72326\n1 72325\n2 72326\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n2 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"8 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n1 72326\n2 8490\n2 72324\n2 91418\n",
"72977 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 1\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 9\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 7\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n2 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 23\n",
"7 5\n2 5\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"13 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 19\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n1 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 115\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 7\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 19250\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 20\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n"
],
"output": [
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\n",
"Yes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nYes\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\n",
"Yes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n"
]
} | 2CODEFORCES
|
1292_A. NEKO's Maze Game_37877 | [3R2 as DJ Mashiro - Happiness Breeze](https://open.spotify.com/track/2qGqK8GRS65Wlf20qUBEak)
[Ice - DJ Mashiro is dead or alive](https://soundcloud.com/iceloki/dj-mashiro-is-dead-or-alive)
NEKO#ΦωΦ has just got a new maze game on her PC!
The game's main puzzle is a maze, in the forms of a 2 × n rectangle grid. NEKO's task is to lead a Nekomimi girl from cell (1, 1) to the gate at (2, n) and escape the maze. The girl can only move between cells sharing a common side.
However, at some moments during the game, some cells may change their state: either from normal ground to lava (which forbids movement into that cell), or vice versa (which makes that cell passable again). Initially all cells are of the ground type.
After hours of streaming, NEKO finally figured out there are only q such moments: the i-th moment toggles the state of cell (r_i, c_i) (either from ground to lava or vice versa).
Knowing this, NEKO wonders, after each of the q moments, whether it is still possible to move from cell (1, 1) to cell (2, n) without going through any lava cells.
Although NEKO is a great streamer and gamer, she still can't get through quizzes and problems requiring large amount of Brain Power. Can you help her?
Input
The first line contains integers n, q (2 ≤ n ≤ 10^5, 1 ≤ q ≤ 10^5).
The i-th of q following lines contains two integers r_i, c_i (1 ≤ r_i ≤ 2, 1 ≤ c_i ≤ n), denoting the coordinates of the cell to be flipped at the i-th moment.
It is guaranteed that cells (1, 1) and (2, n) never appear in the query list.
Output
For each moment, if it is possible to travel from cell (1, 1) to cell (2, n), print "Yes", otherwise print "No". There should be exactly q answers, one after every update.
You can print the words in any case (either lowercase, uppercase or mixed).
Example
Input
5 5
2 3
1 4
2 4
2 3
1 4
Output
Yes
No
No
No
Yes
Note
We'll crack down the example test here:
* After the first query, the girl still able to reach the goal. One of the shortest path ways should be: (1,1) → (1,2) → (1,3) → (1,4) → (1,5) → (2,5).
* After the second query, it's impossible to move to the goal, since the farthest cell she could reach is (1, 3).
* After the fourth query, the (2, 3) is not blocked, but now all the 4-th column is blocked, so she still can't reach the goal.
* After the fifth query, the column barrier has been lifted, thus she can go to the final goal again. | #include <bits/stdc++.h>
using namespace std;
bool op[3][100002];
int t;
bool check(int c) {
if (!op[1][c] && (!op[2][c] || !op[2][c - 1] || !op[2][c + 1])) {
return false;
} else if (!op[2][c] && (!op[1][c] || !op[1][c - 1] || !op[1][c + 1])) {
return false;
}
return true;
}
int main() {
memset(op, true, sizeof(op));
int n, q, r, c;
cin >> n >> q;
for (int i = 0; i < q; i++) {
cin >> r >> c;
bool n1 = check(c);
bool n2 = check(c - 1);
bool n3 = check(c + 1);
op[r][c] = (op[r][c] ? false : true);
t += int((n1 ? 1 : 0) - (check(c) ? 1 : 0));
t += int((n2 ? 1 : 0) - (check(c - 1) ? 1 : 0));
t += int((n3 ? 1 : 0) - (check(c + 1) ? 1 : 0));
cout << (t == 0 ? "Yes" : "No") << endl;
}
return 0;
}
| 2C++
| {
"input": [
"5 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"4 1\n1 4\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"2 4\n2 1\n1 2\n1 2\n1 2\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n1 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"2 2\n2 1\n1 2\n",
"3 68\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 3\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"5 5\n2 3\n1 3\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 4\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 72326\n1 72325\n2 96580\n2 8490\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"100000 6\n1 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 33667\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 96147\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 2542\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 79\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n2 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 16\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n2 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"7 5\n2 4\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 7\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n2 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 96147\n1 22965\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 57\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"100000 46\n1 82674\n2 82673\n2 89002\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 146\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 8490\n2 72324\n2 91418\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"100000 6\n2 72326\n1 72325\n2 72326\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n2 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"8 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n1 72326\n2 8490\n2 72324\n2 91418\n",
"72977 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 1\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 9\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 7\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n2 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 23\n",
"7 5\n2 5\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"13 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 19\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n1 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 115\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 7\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 19250\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 20\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n"
],
"output": [
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\n",
"Yes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nYes\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\n",
"Yes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n"
]
} | 2CODEFORCES
|
1292_A. NEKO's Maze Game_37878 | [3R2 as DJ Mashiro - Happiness Breeze](https://open.spotify.com/track/2qGqK8GRS65Wlf20qUBEak)
[Ice - DJ Mashiro is dead or alive](https://soundcloud.com/iceloki/dj-mashiro-is-dead-or-alive)
NEKO#ΦωΦ has just got a new maze game on her PC!
The game's main puzzle is a maze, in the forms of a 2 × n rectangle grid. NEKO's task is to lead a Nekomimi girl from cell (1, 1) to the gate at (2, n) and escape the maze. The girl can only move between cells sharing a common side.
However, at some moments during the game, some cells may change their state: either from normal ground to lava (which forbids movement into that cell), or vice versa (which makes that cell passable again). Initially all cells are of the ground type.
After hours of streaming, NEKO finally figured out there are only q such moments: the i-th moment toggles the state of cell (r_i, c_i) (either from ground to lava or vice versa).
Knowing this, NEKO wonders, after each of the q moments, whether it is still possible to move from cell (1, 1) to cell (2, n) without going through any lava cells.
Although NEKO is a great streamer and gamer, she still can't get through quizzes and problems requiring large amount of Brain Power. Can you help her?
Input
The first line contains integers n, q (2 ≤ n ≤ 10^5, 1 ≤ q ≤ 10^5).
The i-th of q following lines contains two integers r_i, c_i (1 ≤ r_i ≤ 2, 1 ≤ c_i ≤ n), denoting the coordinates of the cell to be flipped at the i-th moment.
It is guaranteed that cells (1, 1) and (2, n) never appear in the query list.
Output
For each moment, if it is possible to travel from cell (1, 1) to cell (2, n), print "Yes", otherwise print "No". There should be exactly q answers, one after every update.
You can print the words in any case (either lowercase, uppercase or mixed).
Example
Input
5 5
2 3
1 4
2 4
2 3
1 4
Output
Yes
No
No
No
Yes
Note
We'll crack down the example test here:
* After the first query, the girl still able to reach the goal. One of the shortest path ways should be: (1,1) → (1,2) → (1,3) → (1,4) → (1,5) → (2,5).
* After the second query, it's impossible to move to the goal, since the farthest cell she could reach is (1, 3).
* After the fourth query, the (2, 3) is not blocked, but now all the 4-th column is blocked, so she still can't reach the goal.
* After the fifth query, the column barrier has been lifted, thus she can go to the final goal again. | import sys
input = sys.stdin.readline
hell=1000000007
def meowmeow321():
n,q=map(int,input().split())
cnt=0
mark1 = [0]*(n+5)
mark2 = [0]*(n+5)
for i in range(q):
r,c = map(int,input().split())
if r==1:
if mark1[c]:
cnt-=mark2[c]
cnt-=mark2[c+1]
cnt-=mark2[c-1]
else:
cnt+=mark2[c]
cnt+=mark2[c+1]
cnt+=mark2[c-1]
mark1[c]=1-mark1[c]
else:
if mark2[c]:
cnt-=mark1[c]
cnt-=mark1[c+1]
cnt-=mark1[c-1]
else:
cnt+=mark1[c]
cnt+=mark1[c+1]
cnt+=mark1[c-1]
mark2[c]=1-mark2[c]
if cnt==0:
print("Yes")
else:
print("No")
#t=int(input())
t=1
for i in range(t):
meowmeow321() | 3Python3
| {
"input": [
"5 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"4 1\n1 4\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"2 4\n2 1\n1 2\n1 2\n1 2\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n1 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"2 2\n2 1\n1 2\n",
"3 68\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 3\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"5 5\n2 3\n1 3\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 4\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 72326\n1 72325\n2 96580\n2 8490\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"100000 6\n1 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 33667\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 96147\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 2542\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 79\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n2 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 16\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n2 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"7 5\n2 4\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 7\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n2 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 96147\n1 22965\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 57\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"100000 46\n1 82674\n2 82673\n2 89002\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 146\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 8490\n2 72324\n2 91418\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"100000 6\n2 72326\n1 72325\n2 72326\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n2 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"8 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n1 72326\n2 8490\n2 72324\n2 91418\n",
"72977 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 1\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 9\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 7\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n2 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 23\n",
"7 5\n2 5\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"13 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 19\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n1 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 115\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 7\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 19250\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 20\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n"
],
"output": [
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\n",
"Yes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nYes\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\n",
"Yes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n"
]
} | 2CODEFORCES
|
1292_A. NEKO's Maze Game_37879 | [3R2 as DJ Mashiro - Happiness Breeze](https://open.spotify.com/track/2qGqK8GRS65Wlf20qUBEak)
[Ice - DJ Mashiro is dead or alive](https://soundcloud.com/iceloki/dj-mashiro-is-dead-or-alive)
NEKO#ΦωΦ has just got a new maze game on her PC!
The game's main puzzle is a maze, in the forms of a 2 × n rectangle grid. NEKO's task is to lead a Nekomimi girl from cell (1, 1) to the gate at (2, n) and escape the maze. The girl can only move between cells sharing a common side.
However, at some moments during the game, some cells may change their state: either from normal ground to lava (which forbids movement into that cell), or vice versa (which makes that cell passable again). Initially all cells are of the ground type.
After hours of streaming, NEKO finally figured out there are only q such moments: the i-th moment toggles the state of cell (r_i, c_i) (either from ground to lava or vice versa).
Knowing this, NEKO wonders, after each of the q moments, whether it is still possible to move from cell (1, 1) to cell (2, n) without going through any lava cells.
Although NEKO is a great streamer and gamer, she still can't get through quizzes and problems requiring large amount of Brain Power. Can you help her?
Input
The first line contains integers n, q (2 ≤ n ≤ 10^5, 1 ≤ q ≤ 10^5).
The i-th of q following lines contains two integers r_i, c_i (1 ≤ r_i ≤ 2, 1 ≤ c_i ≤ n), denoting the coordinates of the cell to be flipped at the i-th moment.
It is guaranteed that cells (1, 1) and (2, n) never appear in the query list.
Output
For each moment, if it is possible to travel from cell (1, 1) to cell (2, n), print "Yes", otherwise print "No". There should be exactly q answers, one after every update.
You can print the words in any case (either lowercase, uppercase or mixed).
Example
Input
5 5
2 3
1 4
2 4
2 3
1 4
Output
Yes
No
No
No
Yes
Note
We'll crack down the example test here:
* After the first query, the girl still able to reach the goal. One of the shortest path ways should be: (1,1) → (1,2) → (1,3) → (1,4) → (1,5) → (2,5).
* After the second query, it's impossible to move to the goal, since the farthest cell she could reach is (1, 3).
* After the fourth query, the (2, 3) is not blocked, but now all the 4-th column is blocked, so she still can't reach the goal.
* After the fifth query, the column barrier has been lifted, thus she can go to the final goal again. | // coded by Krishna Sundar //
import java.lang.*;
import java.io.*;
import java.util.*;
public class Main {
boolean bound(int x, int y, int R, int C) {
return x>=0 && x<R && y>=0 && y<C;
}
public void solve(Read input, Write output) throws Exception {
int length = input.readInt();
int queries = input.readInt();
int R = 2, C = length;
boolean[][] GRID = new boolean[R][C];
int[] x_dir = new int[]{0, 0, 1, -1, 1, -1, -1, 1};
int[] y_dir = new int[]{1, -1, 0, 0, -1, -1, 1, 1};
int blocks = 0;
for (int i=0;i<queries;i++) {
int q_x = input.readInt();
int q_y = input.readInt();
q_x--;q_y--;
if (!GRID[q_x][q_y]) {
for (int j=0;j<x_dir.length;j++) {
int n_x = q_x + x_dir[j];
int n_y = q_y + y_dir[j];
if (bound(n_x, n_y, R, C) && n_x!=q_x && GRID[n_x][n_y]) {
blocks++;
}
}
output.printLine(((blocks>0)?"No":"Yes"));
GRID[q_x][q_y] = true;
} else {
for (int j=0;j<x_dir.length;j++) {
int n_x = q_x + x_dir[j];
int n_y = q_y + y_dir[j];
if (bound(n_x, n_y, R, C) && n_x!=q_x && GRID[n_x][n_y]) {
blocks--;
}
}
output.printLine(((blocks>0)?"No":"Yes"));
GRID[q_x][q_y] = false;
}
}
}
public static void main(String[] args) throws Exception {
Read input = new Read();
Write output = new Write();
Main D = new Main();
D.solve(input, output);
output.flush();
output.close();
}
// java fast io reader and writer
// taken from various sources and customized
static class Read {
private byte[] buffer =new byte[10*1024];
private int index;
private InputStream input_stream;
private int total;
public Read() {
input_stream = System.in;
}
public int read()throws IOException {
if(total<0)
throw new InputMismatchException();
if(index>=total) {
index=0;
total= input_stream.read(buffer);
if(total<=0)
return -1;
}
return buffer[index++];
}
public long readLong() throws IOException {
long number=0;
int n= read();
while(isWhiteSpace(n))
n= read();
long neg=1l;
if(n=='-') {
neg=-1l;
n= read();
}
while(!isWhiteSpace(n)) {
if(n>='0'&&n<='9') {
number*=10l;
number+=(long)(n-'0');
n= read();
}
else throw new InputMismatchException();
}
return neg*number;
}
public int readInt() throws IOException {
int integer=0;
int n= read();
while(isWhiteSpace(n))
n= read();
int neg=1;
if(n=='-') {
neg=-1;
n= read();
}
while(!isWhiteSpace(n)) {
if(n>='0'&&n<='9') {
integer*=10;
integer+=n-'0';
n= read();
}
else throw new InputMismatchException();
}
return neg*integer;
}
public double readDouble()throws IOException {
double doub=0;
int n= read();
while(isWhiteSpace(n))
n= read();
int neg=1;
if(n=='-') {
neg=-1;
n= read();
}
while(!isWhiteSpace(n)&&n!='.') {
if(n>='0'&&n<='9') {
doub*=10;
doub+=n-'0';
n= read();
}
else throw new InputMismatchException();
}
if(n=='.') {
n= read();
double temp=1;
while(!isWhiteSpace(n)) {
if(n>='0'&&n<='9') {
temp/=10;
doub+=(n-'0')*temp;
n= read();
}
else throw new InputMismatchException();
}
}
return doub*neg;
}
public String readString()throws IOException {
StringBuilder sb = new StringBuilder();
int n = read();
while (isWhiteSpace(n))
n = read();
while (!isWhiteSpace(n)) {
sb.append((char)n);
n = read();
}
return sb.toString();
}
private boolean isWhiteSpace(int n) {
if(n==' '|| n=='\n'|| n=='\r'|| n=='\t'|| n==-1)
return true;
return false;
}
}
static class Write {
private final BufferedWriter bw;
public Write() {
bw = new BufferedWriter(new OutputStreamWriter(System.out));
}
public void print(String str) throws IOException {
bw.append(str);
}
public void printLine(String str) throws IOException {
print(str);
bw.append("\n");
}
public void close()throws IOException {
bw.close();
}
public void flush()throws IOException {
bw.flush();
}
}
} | 4JAVA
| {
"input": [
"5 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"4 1\n1 4\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"2 4\n2 1\n1 2\n1 2\n1 2\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n1 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"2 2\n2 1\n1 2\n",
"3 68\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 3\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"5 5\n2 3\n1 3\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 4\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 5\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 72326\n1 72325\n2 96580\n2 8490\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"100000 6\n1 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 37146\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 60565\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 33667\n",
"3 27\n2 2\n2 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n1 2\n1 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n1 3\n2 2\n2 2\n2 1\n",
"100000 6\n2 96147\n1 72325\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"76183 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 2542\n2 51881\n2 51881\n2 51881\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 79\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 702\n2 500\n",
"10 83\n1 3\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n1 4\n2 2\n2 3\n2 3\n2 3\n2 3\n2 3\n2 3\n1 4\n1 5\n1 7\n2 2\n2 2\n2 5\n2 2\n1 3\n2 1\n2 6\n1 5\n2 6\n2 9\n1 2\n2 5\n1 2\n2 5\n2 4\n2 4\n1 2\n1 2\n1 4\n2 6\n2 6\n2 4\n2 4\n1 2\n1 2\n2 4\n2 4\n2 3\n2 3\n1 2\n2 9\n1 2\n1 2\n1 2\n2 6\n2 6\n2 4\n2 4\n2 3\n2 5\n2 5\n2 3\n2 3\n2 3\n2 6\n2 6\n2 3\n2 3\n2 6\n2 6\n2 6\n2 6\n2 6\n2 6\n2 3\n2 3\n1 2\n1 2\n2 6\n2 1\n2 6\n2 6\n2 6\n2 7\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 64609\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 16\n2 14\n2 14\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n2 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 1\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 14\n",
"7 5\n2 4\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 7\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n2 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"100000 6\n2 96147\n1 22965\n2 72326\n2 72324\n2 72324\n2 91418\n",
"327 22\n2 57\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"100000 46\n1 82674\n2 82673\n2 89002\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n1 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 146\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n1 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 72326\n2 8490\n2 72324\n2 91418\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 179\n2 500\n",
"100000 6\n2 72326\n1 72325\n2 72326\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"6 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"100000 6\n2 72326\n1 72325\n2 26753\n1 66015\n2 72324\n2 91418\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n2 2\n2 10\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 3\n1 4\n2 4\n2 3\n2 6\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 28256\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 7\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"8 5\n2 3\n1 4\n2 4\n2 3\n1 4\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"100000 6\n2 72326\n1 72325\n1 72326\n2 8490\n2 72324\n2 91418\n",
"72977 37\n1 68009\n2 68008\n2 68008\n2 51883\n1 51882\n2 51883\n2 51881\n2 51881\n2 51881\n2 51881\n2 68008\n2 68008\n2 68008\n2 68008\n2 51881\n2 40751\n2 51881\n2 51881\n2 69551\n2 2204\n1 40750\n2 40751\n2 62512\n2 68008\n2 68008\n2 40749\n2 33598\n2 40749\n1 33597\n2 33598\n2 33596\n2 54671\n1 65682\n2 33596\n1 62511\n2 62512\n2 62510\n",
"327 22\n2 57\n1 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n1 1\n2 3\n1 10\n2 10\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"100000 46\n1 82674\n2 82673\n2 82673\n2 82673\n2 82673\n2 16641\n2 82673\n2 82673\n2 82673\n2 87908\n2 58694\n1 58693\n2 58694\n2 82673\n2 82673\n1 87907\n2 87908\n2 82673\n2 82673\n1 64610\n2 64609\n2 64609\n2 58692\n2 58692\n2 64609\n2 64609\n2 20005\n2 64609\n2 87906\n2 87906\n2 64609\n2 22164\n2 2840\n2 43302\n2 64609\n2 58692\n2 58692\n2 87906\n2 87906\n1 22163\n2 76010\n2 22164\n2 64609\n2 64609\n1 43301\n2 43302\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 6\n1 2\n1 10\n2 7\n1 9\n2 2\n1 4\n1 10\n1 2\n2 6\n2 9\n1 7\n1 2\n2 7\n2 3\n1 10\n2 7\n2 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"1049 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 323\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 7\n2 457\n2 322\n2 702\n2 323\n2 702\n2 500\n",
"10 42\n1 4\n1 2\n2 2\n2 8\n1 10\n1 7\n2 8\n2 3\n1 9\n1 2\n2 4\n2 8\n2 4\n1 7\n2 3\n1 9\n1 6\n2 7\n2 7\n1 10\n1 2\n1 10\n2 7\n1 5\n2 2\n1 4\n2 10\n1 2\n2 6\n2 9\n1 7\n1 4\n2 7\n2 3\n1 10\n2 7\n1 5\n2 5\n1 10\n1 8\n2 9\n1 6\n",
"855 26\n1 75\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n2 74\n1 190\n2 74\n2 74\n2 74\n2 74\n2 322\n2 322\n2 322\n2 649\n1 703\n1 251\n2 457\n2 322\n2 702\n2 382\n2 109\n2 500\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 49\n2 66\n2 23\n",
"7 5\n2 5\n1 4\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"7 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n2 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 68\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 6\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"13 5\n2 5\n1 7\n2 4\n2 3\n2 6\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 66\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n",
"327 22\n2 93\n2 67\n1 214\n2 68\n2 213\n2 213\n2 66\n2 92\n2 66\n2 19\n2 66\n2 66\n2 213\n2 213\n1 15\n2 3\n2 14\n2 213\n2 67\n2 66\n2 66\n2 14\n",
"73034 53\n2 21523\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22688\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 37144\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n1 30947\n2 21521\n1 10386\n2 4616\n1 51066\n2 15970\n1 24859\n2 28765\n2 28765\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n2 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 115\n2 213\n2 9\n2 66\n2 66\n2 66\n2 66\n2 66\n2 66\n2 213\n2 213\n1 15\n2 14\n2 15\n2 213\n2 213\n2 82\n2 66\n2 23\n",
"7 5\n2 5\n1 5\n2 4\n2 3\n1 7\n",
"73034 53\n2 26957\n1 21522\n2 21523\n2 21521\n2 37146\n2 21521\n2 21521\n2 21521\n1 37145\n2 22980\n1 54737\n2 66924\n2 21521\n2 28767\n2 21521\n2 21521\n2 21521\n1 28766\n2 28767\n2 54736\n2 54736\n2 31558\n2 45033\n2 41201\n1 60566\n2 15970\n2 37144\n2 25868\n1 277\n2 1743\n1 25867\n2 25868\n1 40857\n1 38088\n2 21521\n2 21521\n1 15969\n2 39373\n1 51066\n2 15970\n1 24859\n2 28765\n2 19250\n2 60565\n2 8193\n2 21521\n2 21521\n2 38087\n2 38087\n1 21521\n2 21521\n2 45056\n2 21521\n",
"327 22\n2 68\n1 67\n1 214\n2 49\n1 213\n2 213\n2 20\n2 66\n2 66\n2 34\n2 132\n2 66\n2 213\n2 213\n1 15\n2 14\n2 14\n2 213\n2 213\n2 66\n2 66\n2 14\n"
],
"output": [
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\n",
"Yes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nYes\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\n",
"Yes\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nYes\nYes\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nYes\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nNo\nYes\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\n",
"Yes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n",
"Yes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\n"
]
} | 2CODEFORCES
|
1312_B. Bogosort_37880 | You are given an array a_1, a_2, ... , a_n. Array is good if for each pair of indexes i < j the condition j - a_j ≠ i - a_i holds. Can you shuffle this array so that it becomes good? To shuffle an array means to reorder its elements arbitrarily (leaving the initial order is also an option).
For example, if a = [1, 1, 3, 5], then shuffled arrays [1, 3, 5, 1], [3, 5, 1, 1] and [5, 3, 1, 1] are good, but shuffled arrays [3, 1, 5, 1], [1, 1, 3, 5] and [1, 1, 5, 3] aren't.
It's guaranteed that it's always possible to shuffle an array to meet this condition.
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 100) — the length of array a.
The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≤ a_i ≤ 100).
Output
For each test case print the shuffled version of the array a which is good.
Example
Input
3
1
7
4
1 1 3 5
6
3 2 1 5 6 4
Output
7
1 5 1 3
2 4 6 1 3 5 | def solve(ns):
ns.sort(reverse=True)
'''
n = len(ns)
for i in xrange(n):
for j in xrange(i + 1, n):
assert j - ns[j] != i - ns[i]
'''
return ns
from random import randint
'''
for i in xrange(100):
ns = [randint(1, 100) for i in xrange(100)]
solve(ns)
print 'ok'
'''
T = int(raw_input())
for case_ in xrange(T):
n = int(raw_input())
ns = map(int, raw_input().split())
ns = solve(ns)
for num in ns:
print num,
print ''
| 1Python2
| {
"input": [
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n3\n4 2 1\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 1 2 3 69\n",
"1\n8\n1 2 3 4 5 6 7 8\n",
"1\n3\n6 2 1\n",
"3\n1\n7\n4\n0 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 8\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 2 2 69\n",
"1\n8\n1 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 2 2 69\n",
"1\n9\n2 4 3 4 3 1 2 2 21\n",
"1\n9\n2 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 0 69\n",
"1\n8\n1 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 7 4\n",
"1\n8\n1 2 2 0 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 4 2 69\n",
"1\n9\n2 4 3 4 0 1 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 69\n",
"1\n9\n2 4 3 5 4 2 2 0 69\n",
"1\n8\n1 2 1 4 5 6 7 6\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 5 7 4\n",
"1\n9\n2 2 1 4 3 2 2 3 69\n",
"1\n9\n2 7 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 7 15\n",
"1\n9\n2 4 3 4 3 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 19\n",
"1\n9\n2 4 3 5 3 1 2 6 15\n",
"1\n9\n2 4 3 5 4 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 7 7 4\n",
"1\n9\n2 7 3 4 3 1 0 2 69\n",
"1\n8\n0 2 2 4 1 8 7 15\n",
"1\n9\n2 4 3 4 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 17\n",
"1\n9\n2 4 3 5 3 1 2 6 8\n",
"1\n9\n2 4 3 5 1 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n4 0 1 4 3 2 2 3 69\n",
"1\n9\n2 0 3 4 3 1 0 2 69\n",
"1\n9\n2 4 3 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 42\n",
"1\n9\n4 4 1 5 3 1 2 2 17\n",
"1\n9\n4 4 3 5 3 1 2 6 8\n",
"3\n1\n7\n4\n1 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n2 1 3 4 3 1 0 2 69\n",
"1\n9\n2 4 5 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 30\n",
"3\n1\n7\n4\n2 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n6 0 1 4 3 2 4 3 69\n",
"1\n9\n4 1 3 4 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 69\n",
"1\n9\n4 1 3 3 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 11\n",
"1\n9\n2 1 3 3 3 1 0 2 69\n",
"1\n9\n11 0 1 4 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 19\n",
"1\n9\n11 0 1 1 3 1 1 3 19\n",
"1\n9\n11 0 1 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 31\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 7 6 4\n",
"1\n9\n2 4 3 5 2 1 2 3 69\n",
"1\n8\n1 2 6 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n5 2 1 5 6 4\n",
"1\n9\n2 8 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 29\n",
"3\n1\n1\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 0 3 69\n",
"1\n8\n1 2 2 4 5 6 7 21\n",
"1\n8\n1 2 2 8 2 6 7 15\n",
"1\n9\n2 4 1 4 3 1 2 3 21\n",
"1\n9\n2 4 6 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 4\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 8 6 4\n",
"1\n9\n2 4 3 5 6 2 2 0 69\n",
"1\n8\n0 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 1 4\n",
"1\n9\n2 0 1 4 3 2 2 3 69\n",
"1\n8\n1 2 2 0 5 6 14 15\n",
"1\n9\n2 3 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 5 15\n",
"1\n9\n2 4 3 4 0 0 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 30\n",
"1\n9\n2 4 3 5 4 3 2 0 69\n",
"1\n8\n1 1 1 4 5 6 7 6\n",
"1\n9\n2 2 1 4 4 2 2 3 69\n",
"1\n9\n2 7 4 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 5 15\n",
"1\n9\n2 4 3 4 3 1 4 0 35\n",
"1\n9\n2 4 3 8 0 2 2 2 21\n",
"1\n9\n4 4 1 2 3 1 2 2 19\n"
],
"output": [
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"4 2 1\n",
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 1\n",
"8 7 6 5 4 3 2 1\n",
"6 2 1\n",
"7\n5 3 1 0\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 2\n",
"8 7 6 5 4 2 2 1\n",
"7\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 2\n",
"15 7 6 5 4 2 2 1\n",
"69 4 4 3 3 2 2 2 2\n",
"15 7 6 4 2 2 2 1\n",
"69 4 4 3 3 2 2 2 1\n",
"21 4 4 3 3 2 2 2 1\n",
"21 4 4 3 2 2 2 1 1\n",
"69 6 5 4 3 3 2 2 1\n",
"8 7 6 5 4 4 2 1\n",
"7\n5 3 1 1\n6 5 4 2 2 1\n",
"69 5 4 3 3 2 2 2 0\n",
"7 6 6 5 4 2 2 1\n",
"7\n5 1 1 0\n7 5 4 3 2 1\n",
"15 7 6 5 2 2 1 0\n",
"69 4 4 3 3 2 2 2 0\n",
"15 7 6 4 2 2 2 0\n",
"69 4 4 4 3 3 2 2 1\n",
"21 4 4 3 2 2 2 1 0\n",
"21 4 4 4 3 2 2 1 1\n",
"69 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 2 2 2 0\n",
"7 6 6 5 4 2 1 1\n",
"7\n5 2 1 0\n7 5 4 3 2 1\n",
"69 4 3 3 2 2 2 2 1\n",
"69 7 4 3 3 2 2 2 0\n",
"15 8 7 4 2 2 2 0\n",
"69 4 4 4 3 3 2 1 0\n",
"21 4 4 3 2 2 2 2 0\n",
"19 4 4 4 3 2 2 1 1\n",
"15 6 5 4 3 3 2 2 1\n",
"69 5 4 4 3 2 2 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 1\n",
"69 7 4 3 3 2 2 1 0\n",
"15 8 7 4 2 2 1 0\n",
"69 4 4 4 3 2 1 1 0\n",
"21 4 4 4 3 2 2 2 0\n",
"17 4 4 4 3 2 2 1 1\n",
"8 6 5 4 3 3 2 2 1\n",
"69 5 4 3 2 2 1 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 2\n",
"69 4 4 3 3 2 2 1 0\n",
"69 4 3 3 2 2 1 0 0\n",
"69 4 4 3 2 1 1 0 0\n",
"42 4 4 4 3 2 2 2 0\n",
"17 5 4 4 3 2 2 1 1\n",
"8 6 5 4 4 3 3 2 1\n",
"7\n5 2 1 1\n7 7 4 3 2 2\n",
"69 4 3 3 2 2 1 1 0\n",
"69 5 4 4 2 1 1 0 0\n",
"30 4 4 4 3 2 2 2 0\n",
"7\n5 2 2 1\n7 7 4 3 2 2\n",
"69 6 4 4 3 3 2 1 0\n",
"69 4 4 3 3 2 1 1 0\n",
"69 6 4 3 3 2 1 1 0\n",
"69 4 3 3 3 2 1 1 0\n",
"11 6 4 3 3 2 1 1 0\n",
"69 3 3 3 2 2 1 1 0\n",
"11 11 4 3 3 2 1 1 0\n",
"11 11 3 3 2 1 1 1 0\n",
"19 11 3 3 2 1 1 1 0\n",
"19 11 3 3 1 1 1 1 0\n",
"27 11 3 3 2 1 1 1 0\n",
"27 11 3 3 2 1 1 0 0\n",
"31 11 3 3 2 1 1 0 0\n",
"7\n5 3 1 1\n7 6 4 3 2 1\n",
"69 5 4 3 3 2 2 2 1\n",
"8 7 6 6 5 4 2 1\n",
"7\n5 3 1 1\n6 5 5 4 2 1\n",
"69 8 5 3 3 3 2 2 2\n",
"29 7 6 5 4 2 2 1\n",
"1\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 0\n",
"21 7 6 5 4 2 2 1\n",
"15 8 7 6 2 2 2 1\n",
"21 4 4 3 3 2 2 1 1\n",
"69 6 6 5 4 3 2 2 1\n",
"7 6 5 4 4 4 2 1\n",
"7\n5 3 1 1\n8 6 4 2 2 1\n",
"69 6 5 4 3 2 2 2 0\n",
"7 6 6 5 4 2 2 0\n",
"7\n5 1 1 0\n5 4 3 2 1 1\n",
"69 4 3 3 2 2 2 1 0\n",
"15 14 6 5 2 2 1 0\n",
"69 4 3 3 3 2 2 2 0\n",
"15 6 5 4 2 2 2 0\n",
"21 4 4 3 2 2 2 0 0\n",
"30 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 3 2 2 0\n",
"7 6 6 5 4 1 1 1\n",
"69 4 4 3 2 2 2 2 1\n",
"69 7 4 4 3 2 2 2 0\n",
"15 8 5 4 2 2 2 0\n",
"35 4 4 4 3 3 2 1 0\n",
"21 8 4 3 2 2 2 2 0\n",
"19 4 4 3 2 2 2 1 1\n"
]
} | 2CODEFORCES
|
1312_B. Bogosort_37881 | You are given an array a_1, a_2, ... , a_n. Array is good if for each pair of indexes i < j the condition j - a_j ≠ i - a_i holds. Can you shuffle this array so that it becomes good? To shuffle an array means to reorder its elements arbitrarily (leaving the initial order is also an option).
For example, if a = [1, 1, 3, 5], then shuffled arrays [1, 3, 5, 1], [3, 5, 1, 1] and [5, 3, 1, 1] are good, but shuffled arrays [3, 1, 5, 1], [1, 1, 3, 5] and [1, 1, 5, 3] aren't.
It's guaranteed that it's always possible to shuffle an array to meet this condition.
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 100) — the length of array a.
The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≤ a_i ≤ 100).
Output
For each test case print the shuffled version of the array a which is good.
Example
Input
3
1
7
4
1 1 3 5
6
3 2 1 5 6 4
Output
7
1 5 1 3
2 4 6 1 3 5 | #include <bits/stdc++.h>
using namespace std;
long long int mod = 1000000007;
vector<long long int> initializeDiffArray(vector<long long int>& A);
void update(vector<long long int>& D, long long int l, long long int r,
long long int x);
void getArray(vector<long long int>& A, vector<long long int>& D);
long long int min(long long int a, long long int b);
long long int max(long long int a, long long int b);
long long int gcd(long long int a, long long int b);
void swap(long long int* a, long long int* b);
long long int lcm(long long int a, long long int b);
long long int modpower(long long int x, long long int y, long long int p);
long long int power(long long int x, long long int y);
long long int modulo(long long int value, long long int m);
long long int myXOR(long long int x, long long int y);
long long int diff(long long int a, long long int b);
int main() {
{
ios ::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
};
long long int rep = 1;
cin >> rep;
while (rep--) {
long long int n;
cin >> n;
long long int a[n];
for (long long int i = 0; i <= n - 1; ++i) cin >> a[i];
sort(a, a + n);
for (long long int i = n - 1; i >= 0; i--) cout << a[i] << ' ';
cout << '\n';
}
return 0;
}
long long int myXOR(long long int x, long long int y) {
return (x | y) & (~x | ~y);
}
long long int min(long long int a, long long int b) {
if (a > b) return b;
return a;
}
long long int max(long long int a, long long int b) {
if (a < b) return b;
return a;
}
long long int gcd(long long int a, long long int b) {
if (a == 0) return b;
return gcd(b % a, a);
}
long long int diff(long long int a, long long int b) {
if (a > b) return a - b;
return b - a;
}
void swap(long long int* a, long long int* b) {
long long int t = *a;
*a = *b;
*b = t;
}
long long int lcm(long long int a, long long int b) {
if (a == 0) return b;
if (b == 0) return a;
return (a * b) / gcd(a, b);
}
long long int modpower(long long int x, long long int y, long long int p) {
long long int res = 1;
x = x % p;
while (y > 0) {
if (y & 1) res = (res * x) % p;
y = y >> 1;
x = (x * x) % p;
}
return res;
}
long long int power(long long int x, long long int y) {
long long int temp;
if (y == 0) return 1;
temp = power(x, y / 2);
if (y % 2 == 0)
return temp * temp;
else
return x * temp * temp;
}
long long int modulo(long long int value, long long int m) {
long long int mod = value % m;
if (value < 0) {
mod += m;
}
return mod;
}
vector<long long int> initializeDiffArray(vector<long long int>& A) {
long long int n = A.size();
vector<long long int> D(n + 1);
D[0] = A[0], D[n] = 0;
for (long long int i = 1; i < n; i++) D[i] = A[i] - A[i - 1];
return D;
}
void update(vector<long long int>& D, long long int l, long long int r,
long long int x) {
D[l] += x;
D[r + 1] -= x;
}
void getArray(vector<long long int>& A, vector<long long int>& D) {
for (long long int i = 0; i < A.size(); i++) {
if (i == 0)
A[i] = D[i];
else
A[i] = D[i] + A[i - 1];
}
}
| 2C++
| {
"input": [
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n3\n4 2 1\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 1 2 3 69\n",
"1\n8\n1 2 3 4 5 6 7 8\n",
"1\n3\n6 2 1\n",
"3\n1\n7\n4\n0 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 8\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 2 2 69\n",
"1\n8\n1 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 2 2 69\n",
"1\n9\n2 4 3 4 3 1 2 2 21\n",
"1\n9\n2 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 0 69\n",
"1\n8\n1 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 7 4\n",
"1\n8\n1 2 2 0 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 4 2 69\n",
"1\n9\n2 4 3 4 0 1 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 69\n",
"1\n9\n2 4 3 5 4 2 2 0 69\n",
"1\n8\n1 2 1 4 5 6 7 6\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 5 7 4\n",
"1\n9\n2 2 1 4 3 2 2 3 69\n",
"1\n9\n2 7 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 7 15\n",
"1\n9\n2 4 3 4 3 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 19\n",
"1\n9\n2 4 3 5 3 1 2 6 15\n",
"1\n9\n2 4 3 5 4 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 7 7 4\n",
"1\n9\n2 7 3 4 3 1 0 2 69\n",
"1\n8\n0 2 2 4 1 8 7 15\n",
"1\n9\n2 4 3 4 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 17\n",
"1\n9\n2 4 3 5 3 1 2 6 8\n",
"1\n9\n2 4 3 5 1 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n4 0 1 4 3 2 2 3 69\n",
"1\n9\n2 0 3 4 3 1 0 2 69\n",
"1\n9\n2 4 3 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 42\n",
"1\n9\n4 4 1 5 3 1 2 2 17\n",
"1\n9\n4 4 3 5 3 1 2 6 8\n",
"3\n1\n7\n4\n1 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n2 1 3 4 3 1 0 2 69\n",
"1\n9\n2 4 5 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 30\n",
"3\n1\n7\n4\n2 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n6 0 1 4 3 2 4 3 69\n",
"1\n9\n4 1 3 4 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 69\n",
"1\n9\n4 1 3 3 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 11\n",
"1\n9\n2 1 3 3 3 1 0 2 69\n",
"1\n9\n11 0 1 4 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 19\n",
"1\n9\n11 0 1 1 3 1 1 3 19\n",
"1\n9\n11 0 1 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 31\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 7 6 4\n",
"1\n9\n2 4 3 5 2 1 2 3 69\n",
"1\n8\n1 2 6 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n5 2 1 5 6 4\n",
"1\n9\n2 8 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 29\n",
"3\n1\n1\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 0 3 69\n",
"1\n8\n1 2 2 4 5 6 7 21\n",
"1\n8\n1 2 2 8 2 6 7 15\n",
"1\n9\n2 4 1 4 3 1 2 3 21\n",
"1\n9\n2 4 6 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 4\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 8 6 4\n",
"1\n9\n2 4 3 5 6 2 2 0 69\n",
"1\n8\n0 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 1 4\n",
"1\n9\n2 0 1 4 3 2 2 3 69\n",
"1\n8\n1 2 2 0 5 6 14 15\n",
"1\n9\n2 3 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 5 15\n",
"1\n9\n2 4 3 4 0 0 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 30\n",
"1\n9\n2 4 3 5 4 3 2 0 69\n",
"1\n8\n1 1 1 4 5 6 7 6\n",
"1\n9\n2 2 1 4 4 2 2 3 69\n",
"1\n9\n2 7 4 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 5 15\n",
"1\n9\n2 4 3 4 3 1 4 0 35\n",
"1\n9\n2 4 3 8 0 2 2 2 21\n",
"1\n9\n4 4 1 2 3 1 2 2 19\n"
],
"output": [
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"4 2 1\n",
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 1\n",
"8 7 6 5 4 3 2 1\n",
"6 2 1\n",
"7\n5 3 1 0\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 2\n",
"8 7 6 5 4 2 2 1\n",
"7\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 2\n",
"15 7 6 5 4 2 2 1\n",
"69 4 4 3 3 2 2 2 2\n",
"15 7 6 4 2 2 2 1\n",
"69 4 4 3 3 2 2 2 1\n",
"21 4 4 3 3 2 2 2 1\n",
"21 4 4 3 2 2 2 1 1\n",
"69 6 5 4 3 3 2 2 1\n",
"8 7 6 5 4 4 2 1\n",
"7\n5 3 1 1\n6 5 4 2 2 1\n",
"69 5 4 3 3 2 2 2 0\n",
"7 6 6 5 4 2 2 1\n",
"7\n5 1 1 0\n7 5 4 3 2 1\n",
"15 7 6 5 2 2 1 0\n",
"69 4 4 3 3 2 2 2 0\n",
"15 7 6 4 2 2 2 0\n",
"69 4 4 4 3 3 2 2 1\n",
"21 4 4 3 2 2 2 1 0\n",
"21 4 4 4 3 2 2 1 1\n",
"69 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 2 2 2 0\n",
"7 6 6 5 4 2 1 1\n",
"7\n5 2 1 0\n7 5 4 3 2 1\n",
"69 4 3 3 2 2 2 2 1\n",
"69 7 4 3 3 2 2 2 0\n",
"15 8 7 4 2 2 2 0\n",
"69 4 4 4 3 3 2 1 0\n",
"21 4 4 3 2 2 2 2 0\n",
"19 4 4 4 3 2 2 1 1\n",
"15 6 5 4 3 3 2 2 1\n",
"69 5 4 4 3 2 2 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 1\n",
"69 7 4 3 3 2 2 1 0\n",
"15 8 7 4 2 2 1 0\n",
"69 4 4 4 3 2 1 1 0\n",
"21 4 4 4 3 2 2 2 0\n",
"17 4 4 4 3 2 2 1 1\n",
"8 6 5 4 3 3 2 2 1\n",
"69 5 4 3 2 2 1 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 2\n",
"69 4 4 3 3 2 2 1 0\n",
"69 4 3 3 2 2 1 0 0\n",
"69 4 4 3 2 1 1 0 0\n",
"42 4 4 4 3 2 2 2 0\n",
"17 5 4 4 3 2 2 1 1\n",
"8 6 5 4 4 3 3 2 1\n",
"7\n5 2 1 1\n7 7 4 3 2 2\n",
"69 4 3 3 2 2 1 1 0\n",
"69 5 4 4 2 1 1 0 0\n",
"30 4 4 4 3 2 2 2 0\n",
"7\n5 2 2 1\n7 7 4 3 2 2\n",
"69 6 4 4 3 3 2 1 0\n",
"69 4 4 3 3 2 1 1 0\n",
"69 6 4 3 3 2 1 1 0\n",
"69 4 3 3 3 2 1 1 0\n",
"11 6 4 3 3 2 1 1 0\n",
"69 3 3 3 2 2 1 1 0\n",
"11 11 4 3 3 2 1 1 0\n",
"11 11 3 3 2 1 1 1 0\n",
"19 11 3 3 2 1 1 1 0\n",
"19 11 3 3 1 1 1 1 0\n",
"27 11 3 3 2 1 1 1 0\n",
"27 11 3 3 2 1 1 0 0\n",
"31 11 3 3 2 1 1 0 0\n",
"7\n5 3 1 1\n7 6 4 3 2 1\n",
"69 5 4 3 3 2 2 2 1\n",
"8 7 6 6 5 4 2 1\n",
"7\n5 3 1 1\n6 5 5 4 2 1\n",
"69 8 5 3 3 3 2 2 2\n",
"29 7 6 5 4 2 2 1\n",
"1\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 0\n",
"21 7 6 5 4 2 2 1\n",
"15 8 7 6 2 2 2 1\n",
"21 4 4 3 3 2 2 1 1\n",
"69 6 6 5 4 3 2 2 1\n",
"7 6 5 4 4 4 2 1\n",
"7\n5 3 1 1\n8 6 4 2 2 1\n",
"69 6 5 4 3 2 2 2 0\n",
"7 6 6 5 4 2 2 0\n",
"7\n5 1 1 0\n5 4 3 2 1 1\n",
"69 4 3 3 2 2 2 1 0\n",
"15 14 6 5 2 2 1 0\n",
"69 4 3 3 3 2 2 2 0\n",
"15 6 5 4 2 2 2 0\n",
"21 4 4 3 2 2 2 0 0\n",
"30 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 3 2 2 0\n",
"7 6 6 5 4 1 1 1\n",
"69 4 4 3 2 2 2 2 1\n",
"69 7 4 4 3 2 2 2 0\n",
"15 8 5 4 2 2 2 0\n",
"35 4 4 4 3 3 2 1 0\n",
"21 8 4 3 2 2 2 2 0\n",
"19 4 4 3 2 2 2 1 1\n"
]
} | 2CODEFORCES
|
1312_B. Bogosort_37882 | You are given an array a_1, a_2, ... , a_n. Array is good if for each pair of indexes i < j the condition j - a_j ≠ i - a_i holds. Can you shuffle this array so that it becomes good? To shuffle an array means to reorder its elements arbitrarily (leaving the initial order is also an option).
For example, if a = [1, 1, 3, 5], then shuffled arrays [1, 3, 5, 1], [3, 5, 1, 1] and [5, 3, 1, 1] are good, but shuffled arrays [3, 1, 5, 1], [1, 1, 3, 5] and [1, 1, 5, 3] aren't.
It's guaranteed that it's always possible to shuffle an array to meet this condition.
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 100) — the length of array a.
The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≤ a_i ≤ 100).
Output
For each test case print the shuffled version of the array a which is good.
Example
Input
3
1
7
4
1 1 3 5
6
3 2 1 5 6 4
Output
7
1 5 1 3
2 4 6 1 3 5 | N=int(input())
for i in range(N):
b=int(input())
a=list(map(int, input().split()[:b]))
print(*sorted(a)[::-1]) | 3Python3
| {
"input": [
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n3\n4 2 1\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 1 2 3 69\n",
"1\n8\n1 2 3 4 5 6 7 8\n",
"1\n3\n6 2 1\n",
"3\n1\n7\n4\n0 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 8\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 2 2 69\n",
"1\n8\n1 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 2 2 69\n",
"1\n9\n2 4 3 4 3 1 2 2 21\n",
"1\n9\n2 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 0 69\n",
"1\n8\n1 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 7 4\n",
"1\n8\n1 2 2 0 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 4 2 69\n",
"1\n9\n2 4 3 4 0 1 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 69\n",
"1\n9\n2 4 3 5 4 2 2 0 69\n",
"1\n8\n1 2 1 4 5 6 7 6\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 5 7 4\n",
"1\n9\n2 2 1 4 3 2 2 3 69\n",
"1\n9\n2 7 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 7 15\n",
"1\n9\n2 4 3 4 3 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 19\n",
"1\n9\n2 4 3 5 3 1 2 6 15\n",
"1\n9\n2 4 3 5 4 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 7 7 4\n",
"1\n9\n2 7 3 4 3 1 0 2 69\n",
"1\n8\n0 2 2 4 1 8 7 15\n",
"1\n9\n2 4 3 4 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 17\n",
"1\n9\n2 4 3 5 3 1 2 6 8\n",
"1\n9\n2 4 3 5 1 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n4 0 1 4 3 2 2 3 69\n",
"1\n9\n2 0 3 4 3 1 0 2 69\n",
"1\n9\n2 4 3 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 42\n",
"1\n9\n4 4 1 5 3 1 2 2 17\n",
"1\n9\n4 4 3 5 3 1 2 6 8\n",
"3\n1\n7\n4\n1 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n2 1 3 4 3 1 0 2 69\n",
"1\n9\n2 4 5 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 30\n",
"3\n1\n7\n4\n2 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n6 0 1 4 3 2 4 3 69\n",
"1\n9\n4 1 3 4 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 69\n",
"1\n9\n4 1 3 3 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 11\n",
"1\n9\n2 1 3 3 3 1 0 2 69\n",
"1\n9\n11 0 1 4 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 19\n",
"1\n9\n11 0 1 1 3 1 1 3 19\n",
"1\n9\n11 0 1 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 31\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 7 6 4\n",
"1\n9\n2 4 3 5 2 1 2 3 69\n",
"1\n8\n1 2 6 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n5 2 1 5 6 4\n",
"1\n9\n2 8 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 29\n",
"3\n1\n1\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 0 3 69\n",
"1\n8\n1 2 2 4 5 6 7 21\n",
"1\n8\n1 2 2 8 2 6 7 15\n",
"1\n9\n2 4 1 4 3 1 2 3 21\n",
"1\n9\n2 4 6 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 4\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 8 6 4\n",
"1\n9\n2 4 3 5 6 2 2 0 69\n",
"1\n8\n0 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 1 4\n",
"1\n9\n2 0 1 4 3 2 2 3 69\n",
"1\n8\n1 2 2 0 5 6 14 15\n",
"1\n9\n2 3 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 5 15\n",
"1\n9\n2 4 3 4 0 0 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 30\n",
"1\n9\n2 4 3 5 4 3 2 0 69\n",
"1\n8\n1 1 1 4 5 6 7 6\n",
"1\n9\n2 2 1 4 4 2 2 3 69\n",
"1\n9\n2 7 4 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 5 15\n",
"1\n9\n2 4 3 4 3 1 4 0 35\n",
"1\n9\n2 4 3 8 0 2 2 2 21\n",
"1\n9\n4 4 1 2 3 1 2 2 19\n"
],
"output": [
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"4 2 1\n",
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 1\n",
"8 7 6 5 4 3 2 1\n",
"6 2 1\n",
"7\n5 3 1 0\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 2\n",
"8 7 6 5 4 2 2 1\n",
"7\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 2\n",
"15 7 6 5 4 2 2 1\n",
"69 4 4 3 3 2 2 2 2\n",
"15 7 6 4 2 2 2 1\n",
"69 4 4 3 3 2 2 2 1\n",
"21 4 4 3 3 2 2 2 1\n",
"21 4 4 3 2 2 2 1 1\n",
"69 6 5 4 3 3 2 2 1\n",
"8 7 6 5 4 4 2 1\n",
"7\n5 3 1 1\n6 5 4 2 2 1\n",
"69 5 4 3 3 2 2 2 0\n",
"7 6 6 5 4 2 2 1\n",
"7\n5 1 1 0\n7 5 4 3 2 1\n",
"15 7 6 5 2 2 1 0\n",
"69 4 4 3 3 2 2 2 0\n",
"15 7 6 4 2 2 2 0\n",
"69 4 4 4 3 3 2 2 1\n",
"21 4 4 3 2 2 2 1 0\n",
"21 4 4 4 3 2 2 1 1\n",
"69 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 2 2 2 0\n",
"7 6 6 5 4 2 1 1\n",
"7\n5 2 1 0\n7 5 4 3 2 1\n",
"69 4 3 3 2 2 2 2 1\n",
"69 7 4 3 3 2 2 2 0\n",
"15 8 7 4 2 2 2 0\n",
"69 4 4 4 3 3 2 1 0\n",
"21 4 4 3 2 2 2 2 0\n",
"19 4 4 4 3 2 2 1 1\n",
"15 6 5 4 3 3 2 2 1\n",
"69 5 4 4 3 2 2 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 1\n",
"69 7 4 3 3 2 2 1 0\n",
"15 8 7 4 2 2 1 0\n",
"69 4 4 4 3 2 1 1 0\n",
"21 4 4 4 3 2 2 2 0\n",
"17 4 4 4 3 2 2 1 1\n",
"8 6 5 4 3 3 2 2 1\n",
"69 5 4 3 2 2 1 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 2\n",
"69 4 4 3 3 2 2 1 0\n",
"69 4 3 3 2 2 1 0 0\n",
"69 4 4 3 2 1 1 0 0\n",
"42 4 4 4 3 2 2 2 0\n",
"17 5 4 4 3 2 2 1 1\n",
"8 6 5 4 4 3 3 2 1\n",
"7\n5 2 1 1\n7 7 4 3 2 2\n",
"69 4 3 3 2 2 1 1 0\n",
"69 5 4 4 2 1 1 0 0\n",
"30 4 4 4 3 2 2 2 0\n",
"7\n5 2 2 1\n7 7 4 3 2 2\n",
"69 6 4 4 3 3 2 1 0\n",
"69 4 4 3 3 2 1 1 0\n",
"69 6 4 3 3 2 1 1 0\n",
"69 4 3 3 3 2 1 1 0\n",
"11 6 4 3 3 2 1 1 0\n",
"69 3 3 3 2 2 1 1 0\n",
"11 11 4 3 3 2 1 1 0\n",
"11 11 3 3 2 1 1 1 0\n",
"19 11 3 3 2 1 1 1 0\n",
"19 11 3 3 1 1 1 1 0\n",
"27 11 3 3 2 1 1 1 0\n",
"27 11 3 3 2 1 1 0 0\n",
"31 11 3 3 2 1 1 0 0\n",
"7\n5 3 1 1\n7 6 4 3 2 1\n",
"69 5 4 3 3 2 2 2 1\n",
"8 7 6 6 5 4 2 1\n",
"7\n5 3 1 1\n6 5 5 4 2 1\n",
"69 8 5 3 3 3 2 2 2\n",
"29 7 6 5 4 2 2 1\n",
"1\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 0\n",
"21 7 6 5 4 2 2 1\n",
"15 8 7 6 2 2 2 1\n",
"21 4 4 3 3 2 2 1 1\n",
"69 6 6 5 4 3 2 2 1\n",
"7 6 5 4 4 4 2 1\n",
"7\n5 3 1 1\n8 6 4 2 2 1\n",
"69 6 5 4 3 2 2 2 0\n",
"7 6 6 5 4 2 2 0\n",
"7\n5 1 1 0\n5 4 3 2 1 1\n",
"69 4 3 3 2 2 2 1 0\n",
"15 14 6 5 2 2 1 0\n",
"69 4 3 3 3 2 2 2 0\n",
"15 6 5 4 2 2 2 0\n",
"21 4 4 3 2 2 2 0 0\n",
"30 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 3 2 2 0\n",
"7 6 6 5 4 1 1 1\n",
"69 4 4 3 2 2 2 2 1\n",
"69 7 4 4 3 2 2 2 0\n",
"15 8 5 4 2 2 2 0\n",
"35 4 4 4 3 3 2 1 0\n",
"21 8 4 3 2 2 2 2 0\n",
"19 4 4 3 2 2 2 1 1\n"
]
} | 2CODEFORCES
|
1312_B. Bogosort_37883 | You are given an array a_1, a_2, ... , a_n. Array is good if for each pair of indexes i < j the condition j - a_j ≠ i - a_i holds. Can you shuffle this array so that it becomes good? To shuffle an array means to reorder its elements arbitrarily (leaving the initial order is also an option).
For example, if a = [1, 1, 3, 5], then shuffled arrays [1, 3, 5, 1], [3, 5, 1, 1] and [5, 3, 1, 1] are good, but shuffled arrays [3, 1, 5, 1], [1, 1, 3, 5] and [1, 1, 5, 3] aren't.
It's guaranteed that it's always possible to shuffle an array to meet this condition.
Input
The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 100) — the length of array a.
The second line of each test case contains n integers a_1, a_2, ... , a_n (1 ≤ a_i ≤ 100).
Output
For each test case print the shuffled version of the array a which is good.
Example
Input
3
1
7
4
1 1 3 5
6
3 2 1 5 6 4
Output
7
1 5 1 3
2 4 6 1 3 5 |
import java.util.*;
public class main {
public static void main(String[] args) {
Scanner s = new Scanner(System.in);
int t=s.nextInt();
while(t>0) {
int n= s.nextInt();
Integer ans[]= new Integer[n];
for(int i=0;i<n;i++) {
ans[i]=s.nextInt();
}
// Integer ans1[]= new Integer[5];
Arrays.sort(ans, Collections.reverseOrder());
for(int i:ans) {
System.out.print(i+" ");
}
System.out.println();
t--;
}
}
} | 4JAVA
| {
"input": [
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n3\n4 2 1\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 1 2 3 69\n",
"1\n8\n1 2 3 4 5 6 7 8\n",
"1\n3\n6 2 1\n",
"3\n1\n7\n4\n0 1 3 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 8\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 2 2 69\n",
"1\n8\n1 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 2 2 69\n",
"1\n9\n2 4 3 4 3 1 2 2 21\n",
"1\n9\n2 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 5 6 4\n",
"1\n9\n2 4 3 5 3 2 2 0 69\n",
"1\n8\n1 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 7 4\n",
"1\n8\n1 2 2 0 5 6 7 15\n",
"1\n9\n2 4 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 7 15\n",
"1\n9\n2 4 3 4 3 1 4 2 69\n",
"1\n9\n2 4 3 4 0 1 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 69\n",
"1\n9\n2 4 3 5 4 2 2 0 69\n",
"1\n8\n1 2 1 4 5 6 7 6\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 5 7 4\n",
"1\n9\n2 2 1 4 3 2 2 3 69\n",
"1\n9\n2 7 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 7 15\n",
"1\n9\n2 4 3 4 3 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 2 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 19\n",
"1\n9\n2 4 3 5 3 1 2 6 15\n",
"1\n9\n2 4 3 5 4 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 1 7 7 4\n",
"1\n9\n2 7 3 4 3 1 0 2 69\n",
"1\n8\n0 2 2 4 1 8 7 15\n",
"1\n9\n2 4 3 4 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 21\n",
"1\n9\n4 4 1 4 3 1 2 2 17\n",
"1\n9\n2 4 3 5 3 1 2 6 8\n",
"1\n9\n2 4 3 5 1 2 0 0 69\n",
"3\n1\n7\n4\n0 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n4 0 1 4 3 2 2 3 69\n",
"1\n9\n2 0 3 4 3 1 0 2 69\n",
"1\n9\n2 4 3 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 42\n",
"1\n9\n4 4 1 5 3 1 2 2 17\n",
"1\n9\n4 4 3 5 3 1 2 6 8\n",
"3\n1\n7\n4\n1 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n2 1 3 4 3 1 0 2 69\n",
"1\n9\n2 4 5 0 1 1 4 0 69\n",
"1\n9\n2 4 3 4 0 2 4 2 30\n",
"3\n1\n7\n4\n2 2 1 5\n6\n3 2 2 7 7 4\n",
"1\n9\n6 0 1 4 3 2 4 3 69\n",
"1\n9\n4 1 3 4 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 69\n",
"1\n9\n4 1 3 3 3 1 0 2 69\n",
"1\n9\n6 0 1 4 3 2 1 3 11\n",
"1\n9\n2 1 3 3 3 1 0 2 69\n",
"1\n9\n11 0 1 4 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 11\n",
"1\n9\n11 0 1 1 3 2 1 3 19\n",
"1\n9\n11 0 1 1 3 1 1 3 19\n",
"1\n9\n11 0 1 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 27\n",
"1\n9\n11 0 0 2 3 1 1 3 31\n",
"3\n1\n7\n4\n1 1 3 5\n6\n3 2 1 7 6 4\n",
"1\n9\n2 4 3 5 2 1 2 3 69\n",
"1\n8\n1 2 6 4 5 6 7 8\n",
"3\n1\n7\n4\n1 1 3 5\n6\n5 2 1 5 6 4\n",
"1\n9\n2 8 3 5 3 2 2 3 69\n",
"1\n8\n1 2 2 4 5 6 7 29\n",
"3\n1\n1\n4\n0 1 1 5\n6\n3 2 1 5 6 4\n",
"1\n9\n2 4 3 4 3 2 0 3 69\n",
"1\n8\n1 2 2 4 5 6 7 21\n",
"1\n8\n1 2 2 8 2 6 7 15\n",
"1\n9\n2 4 1 4 3 1 2 3 21\n",
"1\n9\n2 4 6 5 3 1 2 6 69\n",
"1\n8\n1 2 4 4 5 6 7 4\n",
"3\n1\n7\n4\n1 1 3 5\n6\n2 2 1 8 6 4\n",
"1\n9\n2 4 3 5 6 2 2 0 69\n",
"1\n8\n0 2 2 4 5 6 7 6\n",
"3\n1\n7\n4\n0 1 1 5\n6\n3 2 1 5 1 4\n",
"1\n9\n2 0 1 4 3 2 2 3 69\n",
"1\n8\n1 2 2 0 5 6 14 15\n",
"1\n9\n2 3 3 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 6 5 15\n",
"1\n9\n2 4 3 4 0 0 2 2 21\n",
"1\n9\n2 4 3 5 3 1 1 6 30\n",
"1\n9\n2 4 3 5 4 3 2 0 69\n",
"1\n8\n1 1 1 4 5 6 7 6\n",
"1\n9\n2 2 1 4 4 2 2 3 69\n",
"1\n9\n2 7 4 4 3 2 0 2 69\n",
"1\n8\n0 2 2 4 2 8 5 15\n",
"1\n9\n2 4 3 4 3 1 4 0 35\n",
"1\n9\n2 4 3 8 0 2 2 2 21\n",
"1\n9\n4 4 1 2 3 1 2 2 19\n"
],
"output": [
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"4 2 1\n",
"7\n5 3 1 1\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 1\n",
"8 7 6 5 4 3 2 1\n",
"6 2 1\n",
"7\n5 3 1 0\n6 5 4 3 2 1\n",
"69 5 4 3 3 3 2 2 2\n",
"8 7 6 5 4 2 2 1\n",
"7\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 2\n",
"15 7 6 5 4 2 2 1\n",
"69 4 4 3 3 2 2 2 2\n",
"15 7 6 4 2 2 2 1\n",
"69 4 4 3 3 2 2 2 1\n",
"21 4 4 3 3 2 2 2 1\n",
"21 4 4 3 2 2 2 1 1\n",
"69 6 5 4 3 3 2 2 1\n",
"8 7 6 5 4 4 2 1\n",
"7\n5 3 1 1\n6 5 4 2 2 1\n",
"69 5 4 3 3 2 2 2 0\n",
"7 6 6 5 4 2 2 1\n",
"7\n5 1 1 0\n7 5 4 3 2 1\n",
"15 7 6 5 2 2 1 0\n",
"69 4 4 3 3 2 2 2 0\n",
"15 7 6 4 2 2 2 0\n",
"69 4 4 4 3 3 2 2 1\n",
"21 4 4 3 2 2 2 1 0\n",
"21 4 4 4 3 2 2 1 1\n",
"69 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 2 2 2 0\n",
"7 6 6 5 4 2 1 1\n",
"7\n5 2 1 0\n7 5 4 3 2 1\n",
"69 4 3 3 2 2 2 2 1\n",
"69 7 4 3 3 2 2 2 0\n",
"15 8 7 4 2 2 2 0\n",
"69 4 4 4 3 3 2 1 0\n",
"21 4 4 3 2 2 2 2 0\n",
"19 4 4 4 3 2 2 1 1\n",
"15 6 5 4 3 3 2 2 1\n",
"69 5 4 4 3 2 2 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 1\n",
"69 7 4 3 3 2 2 1 0\n",
"15 8 7 4 2 2 1 0\n",
"69 4 4 4 3 2 1 1 0\n",
"21 4 4 4 3 2 2 2 0\n",
"17 4 4 4 3 2 2 1 1\n",
"8 6 5 4 3 3 2 2 1\n",
"69 5 4 3 2 2 1 0 0\n",
"7\n5 2 1 0\n7 7 4 3 2 2\n",
"69 4 4 3 3 2 2 1 0\n",
"69 4 3 3 2 2 1 0 0\n",
"69 4 4 3 2 1 1 0 0\n",
"42 4 4 4 3 2 2 2 0\n",
"17 5 4 4 3 2 2 1 1\n",
"8 6 5 4 4 3 3 2 1\n",
"7\n5 2 1 1\n7 7 4 3 2 2\n",
"69 4 3 3 2 2 1 1 0\n",
"69 5 4 4 2 1 1 0 0\n",
"30 4 4 4 3 2 2 2 0\n",
"7\n5 2 2 1\n7 7 4 3 2 2\n",
"69 6 4 4 3 3 2 1 0\n",
"69 4 4 3 3 2 1 1 0\n",
"69 6 4 3 3 2 1 1 0\n",
"69 4 3 3 3 2 1 1 0\n",
"11 6 4 3 3 2 1 1 0\n",
"69 3 3 3 2 2 1 1 0\n",
"11 11 4 3 3 2 1 1 0\n",
"11 11 3 3 2 1 1 1 0\n",
"19 11 3 3 2 1 1 1 0\n",
"19 11 3 3 1 1 1 1 0\n",
"27 11 3 3 2 1 1 1 0\n",
"27 11 3 3 2 1 1 0 0\n",
"31 11 3 3 2 1 1 0 0\n",
"7\n5 3 1 1\n7 6 4 3 2 1\n",
"69 5 4 3 3 2 2 2 1\n",
"8 7 6 6 5 4 2 1\n",
"7\n5 3 1 1\n6 5 5 4 2 1\n",
"69 8 5 3 3 3 2 2 2\n",
"29 7 6 5 4 2 2 1\n",
"1\n5 1 1 0\n6 5 4 3 2 1\n",
"69 4 4 3 3 3 2 2 0\n",
"21 7 6 5 4 2 2 1\n",
"15 8 7 6 2 2 2 1\n",
"21 4 4 3 3 2 2 1 1\n",
"69 6 6 5 4 3 2 2 1\n",
"7 6 5 4 4 4 2 1\n",
"7\n5 3 1 1\n8 6 4 2 2 1\n",
"69 6 5 4 3 2 2 2 0\n",
"7 6 6 5 4 2 2 0\n",
"7\n5 1 1 0\n5 4 3 2 1 1\n",
"69 4 3 3 2 2 2 1 0\n",
"15 14 6 5 2 2 1 0\n",
"69 4 3 3 3 2 2 2 0\n",
"15 6 5 4 2 2 2 0\n",
"21 4 4 3 2 2 2 0 0\n",
"30 6 5 4 3 3 2 1 1\n",
"69 5 4 4 3 3 2 2 0\n",
"7 6 6 5 4 1 1 1\n",
"69 4 4 3 2 2 2 2 1\n",
"69 7 4 4 3 2 2 2 0\n",
"15 8 5 4 2 2 2 0\n",
"35 4 4 4 3 3 2 1 0\n",
"21 8 4 3 2 2 2 2 0\n",
"19 4 4 3 2 2 2 1 1\n"
]
} | 2CODEFORCES
|
1334_F. Strange Function_37884 | Let's denote the following function f. This function takes an array a of length n and returns an array. Initially the result is an empty array. For each integer i from 1 to n we add element a_i to the end of the resulting array if it is greater than all previous elements (more formally, if a_i > max_{1 ≤ j < i}a_j). Some examples of the function f:
1. if a = [3, 1, 2, 7, 7, 3, 6, 7, 8] then f(a) = [3, 7, 8];
2. if a = [1] then f(a) = [1];
3. if a = [4, 1, 1, 2, 3] then f(a) = [4];
4. if a = [1, 3, 1, 2, 6, 8, 7, 7, 4, 11, 10] then f(a) = [1, 3, 6, 8, 11].
You are given two arrays: array a_1, a_2, ... , a_n and array b_1, b_2, ... , b_m. You can delete some elements of array a (possibly zero). To delete the element a_i, you have to pay p_i coins (the value of p_i can be negative, then you get |p_i| coins, if you delete this element). Calculate the minimum number of coins (possibly negative) you have to spend for fulfilling equality f(a) = b.
Input
The first line contains one integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the length of array a.
The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n) — the array a.
The third line contains n integers p_1, p_2, ..., p_n (|p_i| ≤ 10^9) — the array p.
The fourth line contains one integer m (1 ≤ m ≤ n) — the length of array b.
The fifth line contains m integers b_1, b_2, ..., b_m (1 ≤ b_i ≤ n, b_{i-1} < b_i) — the array b.
Output
If the answer exists, in the first line print YES. In the second line, print the minimum number of coins you have to spend for fulfilling equality f(a) = b.
Otherwise in only line print NO.
Examples
Input
11
4 1 3 3 7 8 7 9 10 7 11
3 5 0 -2 5 3 6 7 8 2 4
3
3 7 10
Output
YES
20
Input
6
2 1 5 3 6 5
3 -9 0 16 22 -14
4
2 3 5 6
Output
NO | #include <bits/stdc++.h>
using namespace std;
const int N = 5e5 + 7;
long long t[4 * N];
long long mod[4 * N];
const long long Inf = 1e18;
void update(int v, long long x) {
t[v] += x;
mod[v] += x;
}
void push(int v) {
if (mod[v]) {
update(2 * v + 1, mod[v]);
update(2 * v + 2, mod[v]);
mod[v] = 0;
}
}
void build(int l, int r, int v) {
if (l == r) {
t[v] = Inf;
} else {
int m = (l + r) >> 1;
build(l, m, 2 * v + 1);
build(m + 1, r, 2 * v + 2);
}
}
void modify(int ql, int qr, long long val, int l, int r, int v) {
if (qr < l || r < ql) return;
if (ql <= l && r <= qr) {
update(v, val);
} else {
push(v);
int m = (l + r) >> 1;
modify(ql, qr, val, l, m, 2 * v + 1);
modify(ql, qr, val, m + 1, r, 2 * v + 2);
}
}
long long get(int id, int l, int r, int v) {
if (l == r) return t[v];
push(v);
int m = (l + r) >> 1;
if (id <= m)
return get(id, l, m, 2 * v + 1);
else
return get(id, m + 1, r, 2 * v + 2);
}
void set_min(int id, long long val, int l, int r, int v) {
if (l == r) {
t[v] = min(t[v], val);
} else {
push(v);
int m = (l + r) >> 1;
if (id <= m)
set_min(id, val, l, m, 2 * v + 1);
else
set_min(id, val, m + 1, r, 2 * v + 2);
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; ++i) {
cin >> a[i];
}
vector<int> p(n);
for (int i = 0; i < n; ++i) cin >> p[i];
int m;
cin >> m;
vector<int> b(m);
for (int i = 0; i < m; ++i) {
cin >> b[i];
}
{
int uk = 0;
for (int i = 0; i < n; ++i) {
if (uk < m && a[i] == b[uk]) ++uk;
}
if (uk != m) {
cout << "NO\n";
return 0;
} else {
cout << "YES\n";
}
}
vector<int> pos(n + 1, -1);
for (int i = 0; i < m; ++i) {
pos[b[i]] = i;
}
build(0, n, 0);
set_min(0, 0, 0, n, 0);
for (int i = 0; i < n; ++i) {
if (pos[a[i]] != -1) {
long long val = get((pos[a[i]] == 0 ? 0 : b[pos[a[i]] - 1]), 0, n, 0);
modify(0, a[i] - 1, p[i], 0, n, 0);
if (p[i] < 0) {
modify(a[i], n, p[i], 0, n, 0);
}
set_min(a[i], val, 0, n, 0);
} else {
modify(0, a[i] - 1, p[i], 0, n, 0);
if (p[i] < 0) {
modify(a[i], n, p[i], 0, n, 0);
}
}
}
cout << get(b[m - 1], 0, n, 0) << '\n';
}
| 2C++
| {
"input": [
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -2 5 3 6 7 8 2 4\n3\n3 7 10\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 22 -14\n4\n2 3 5 6\n",
"4\n4 1 1 4\n-10 5 4 1\n1\n4\n",
"2\n2 2\n-10 6\n1\n1\n",
"4\n4 1 1 4\n-10 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 5 6 1\n1\n4\n",
"1\n1\n-10\n1\n1\n",
"4\n4 1 1 4\n-10 5 5 2\n1\n4\n",
"4\n4 1 1 4\n-10 5 4 2\n1\n4\n",
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -2 5 3 6 7 8 2 4\n2\n3 7 10\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 22 -14\n4\n4 3 5 6\n",
"4\n4 1 1 4\n-10 3 5 2\n1\n4\n",
"4\n4 1 1 4\n-10 3 4 2\n1\n4\n",
"4\n1 1 1 4\n-10 8 5 2\n1\n4\n",
"4\n4 2 2 4\n-16 5 5 1\n1\n4\n",
"4\n2 1 1 4\n-10 3 5 2\n1\n1\n",
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -1 5 3 6 7 8 2 4\n3\n3 7 10\n",
"4\n4 1 2 4\n-10 5 6 1\n1\n4\n",
"4\n4 1 2 4\n-10 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 5 6 0\n1\n4\n",
"4\n4 1 2 4\n-10 10 6 1\n1\n4\n",
"4\n4 1 2 4\n-2 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 8 5 2\n1\n4\n",
"4\n4 1 2 4\n-10 10 6 0\n1\n4\n",
"4\n4 1 1 4\n-10 10 6 0\n1\n4\n",
"2\n2 2\n-2 6\n1\n1\n",
"4\n4 1 2 4\n-10 5 2 1\n1\n4\n",
"4\n4 1 2 4\n-10 5 4 2\n1\n4\n",
"4\n4 2 2 4\n-10 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 5 6 -1\n1\n4\n",
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -2 5 3 6 7 8 2 4\n2\n3 4 10\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 22 -14\n4\n4 6 5 6\n",
"4\n2 1 1 4\n-10 3 5 2\n1\n4\n",
"4\n4 1 2 4\n-2 5 5 0\n1\n4\n",
"4\n4 1 1 4\n-10 8 5 3\n1\n4\n",
"4\n4 1 2 4\n-10 5 2 2\n1\n4\n",
"4\n4 1 1 4\n-4 5 6 -1\n1\n4\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 7 -14\n4\n4 6 5 6\n",
"4\n4 1 2 4\n-1 5 5 1\n1\n4\n",
"4\n4 1 2 4\n-10 8 5 3\n1\n4\n",
"4\n4 1 2 4\n-4 5 2 2\n1\n4\n",
"4\n4 1 1 4\n-4 4 6 -1\n1\n4\n",
"4\n4 2 2 4\n-10 8 5 3\n1\n4\n",
"4\n4 1 2 4\n-4 7 2 2\n1\n4\n",
"4\n4 2 2 4\n-10 8 5 1\n1\n4\n",
"4\n4 1 2 4\n-4 7 2 3\n1\n4\n",
"4\n4 2 2 4\n-10 8 5 1\n1\n1\n",
"4\n4 1 4 4\n-4 7 2 2\n1\n4\n",
"4\n4 1 4 4\n-4 7 3 2\n1\n4\n",
"4\n4 1 4 4\n-5 7 3 2\n1\n4\n",
"4\n4 2 1 4\n-10 5 4 1\n1\n4\n",
"2\n2 2\n-10 3\n1\n1\n",
"4\n4 1 1 4\n-10 5 5 1\n1\n3\n",
"6\n2 1 5 3 6 4\n3 -9 0 16 22 -14\n4\n2 3 5 6\n",
"4\n4 1 1 2\n-10 5 5 2\n1\n4\n",
"4\n4 1 2 4\n-10 5 10 1\n1\n4\n",
"4\n4 1 2 4\n-10 5 5 2\n1\n4\n",
"4\n4 2 1 4\n-10 5 6 0\n1\n4\n"
],
"output": [
"YES\n20",
"NO",
"YES\n-1",
"NO",
"YES\n0",
"YES\n0",
"YES\n0",
"YES\n0\n",
"YES\n-1\n",
"YES\n28\n",
"NO\n",
"YES\n-2\n",
"YES\n-3\n",
"YES\n3\n",
"YES\n-6\n",
"YES\n-8\n",
"YES\n21\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"NO\n",
"YES\n-3\n",
"YES\n-1\n",
"YES\n0\n",
"YES\n-1\n",
"NO\n",
"NO\n",
"YES\n-2\n",
"YES\n0\n",
"YES\n0\n",
"YES\n-3\n",
"YES\n-1\n",
"NO\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n-1\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"NO\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n-1\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n"
]
} | 2CODEFORCES
|
1334_F. Strange Function_37885 | Let's denote the following function f. This function takes an array a of length n and returns an array. Initially the result is an empty array. For each integer i from 1 to n we add element a_i to the end of the resulting array if it is greater than all previous elements (more formally, if a_i > max_{1 ≤ j < i}a_j). Some examples of the function f:
1. if a = [3, 1, 2, 7, 7, 3, 6, 7, 8] then f(a) = [3, 7, 8];
2. if a = [1] then f(a) = [1];
3. if a = [4, 1, 1, 2, 3] then f(a) = [4];
4. if a = [1, 3, 1, 2, 6, 8, 7, 7, 4, 11, 10] then f(a) = [1, 3, 6, 8, 11].
You are given two arrays: array a_1, a_2, ... , a_n and array b_1, b_2, ... , b_m. You can delete some elements of array a (possibly zero). To delete the element a_i, you have to pay p_i coins (the value of p_i can be negative, then you get |p_i| coins, if you delete this element). Calculate the minimum number of coins (possibly negative) you have to spend for fulfilling equality f(a) = b.
Input
The first line contains one integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the length of array a.
The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n) — the array a.
The third line contains n integers p_1, p_2, ..., p_n (|p_i| ≤ 10^9) — the array p.
The fourth line contains one integer m (1 ≤ m ≤ n) — the length of array b.
The fifth line contains m integers b_1, b_2, ..., b_m (1 ≤ b_i ≤ n, b_{i-1} < b_i) — the array b.
Output
If the answer exists, in the first line print YES. In the second line, print the minimum number of coins you have to spend for fulfilling equality f(a) = b.
Otherwise in only line print NO.
Examples
Input
11
4 1 3 3 7 8 7 9 10 7 11
3 5 0 -2 5 3 6 7 8 2 4
3
3 7 10
Output
YES
20
Input
6
2 1 5 3 6 5
3 -9 0 16 22 -14
4
2 3 5 6
Output
NO | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.io.OutputStreamWriter;
import java.io.OutputStream;
import java.io.PrintStream;
import java.io.IOException;
import java.io.UncheckedIOException;
import java.io.Closeable;
import java.io.Writer;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) throws Exception {
Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 27);
thread.start();
thread.join();
}
static class TaskAdapter implements Runnable {
@Override
public void run() {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
FastInput in = new FastInput(inputStream);
FastOutput out = new FastOutput(outputStream);
FStrangeFunction solver = new FStrangeFunction();
solver.solve(1, in, out);
out.close();
}
}
static class FStrangeFunction {
Debug debug = new Debug(true);
public void solve(int testNumber, FastInput in, FastOutput out) {
int n = in.readInt();
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = in.readInt();
}
int[] p = new int[n];
for (int i = 0; i < n; i++) {
p[i] = in.readInt();
}
int m = in.readInt();
IntegerHashMap map = new IntegerHashMap(m, false);
int[] b = new int[m + 1];
for (int i = 1; i <= m; i++) {
b[i] = in.readInt();
map.put(b[i], i);
}
Segment seg = new Segment(0, m);
seg.update(0, 0, 0, m, -Segment.inf);
for (int i = 0; i < n; i++) {
int occur = map.getOrDefault(a[i], -1);
long contrib = seg.query(occur - 1, occur - 1, 0, m);
int right = SequenceUtils.upperBound(b, a[i], 1, m);
debug.debug("a[i]", a[i]);
debug.debug("right", right);
if (p[i] < 0) {
seg.update(0, m, 0, m, p[i]);
} else {
seg.update(0, right - 1, 0, m, p[i]);
}
if (occur != -1) {
long cur = seg.query(occur, occur, 0, m);
if (cur > contrib) {
seg.update(occur, occur, 0, m, contrib - cur);
}
}
debug.debug("i", i);
debug.debug("seg", seg);
}
long ans = seg.query(m, m, 0, m);
if (ans > (long) 1e15) {
out.println("NO");
return;
}
out.println("YES");
out.println(ans);
}
}
static class Hasher {
private long time = System.nanoTime() + System.currentTimeMillis();
private int shuffle(long x) {
x += time;
x += 0x9e3779b97f4a7c15L;
x = (x ^ (x >>> 30)) * 0xbf58476d1ce4e5b9L;
x = (x ^ (x >>> 27)) * 0x94d049bb133111ebL;
return (int) (x ^ (x >>> 31));
}
public int hash(int x) {
return shuffle(x);
}
}
static class IntegerHashMap {
private int[] slot;
private int[] next;
private int[] keys;
private int[] values;
private int alloc;
private boolean[] removed;
private int mask;
private int size;
private boolean rehash;
private Hasher hasher = new Hasher();
public IntegerHashMap(int cap, boolean rehash) {
this.mask = (1 << (32 - Integer.numberOfLeadingZeros(cap - 1))) - 1;
slot = new int[mask + 1];
next = new int[cap + 1];
keys = new int[cap + 1];
values = new int[cap + 1];
removed = new boolean[cap + 1];
this.rehash = rehash;
}
private void doubleCapacity() {
int newSize = Math.max(next.length + 10, next.length * 2);
next = Arrays.copyOf(next, newSize);
keys = Arrays.copyOf(keys, newSize);
values = Arrays.copyOf(values, newSize);
removed = Arrays.copyOf(removed, newSize);
}
public void alloc() {
alloc++;
if (alloc >= next.length) {
doubleCapacity();
}
next[alloc] = 0;
removed[alloc] = false;
size++;
}
private void rehash() {
int[] newSlots = new int[Math.max(16, slot.length * 2)];
int newMask = newSlots.length - 1;
for (int i = 0; i < slot.length; i++) {
if (slot[i] == 0) {
continue;
}
int head = slot[i];
while (head != 0) {
int n = next[head];
int s = hash(keys[head]) & newMask;
next[head] = newSlots[s];
newSlots[s] = head;
head = n;
}
}
this.slot = newSlots;
this.mask = newMask;
}
private int hash(int x) {
return hasher.hash(x);
}
public void put(int x, int y) {
put(x, y, true);
}
public void put(int x, int y, boolean cover) {
int h = hash(x);
int s = h & mask;
if (slot[s] == 0) {
alloc();
slot[s] = alloc;
keys[alloc] = x;
values[alloc] = y;
} else {
int index = findIndexOrLastEntry(s, x);
if (keys[index] != x) {
alloc();
next[index] = alloc;
keys[alloc] = x;
values[alloc] = y;
} else if (cover) {
values[index] = y;
}
}
if (rehash && size >= slot.length) {
rehash();
}
}
public int getOrDefault(int x, int def) {
int h = hash(x);
int s = h & mask;
if (slot[s] == 0) {
return def;
}
int index = findIndexOrLastEntry(s, x);
return keys[index] == x ? values[index] : def;
}
private int findIndexOrLastEntry(int s, int x) {
int iter = slot[s];
while (keys[iter] != x) {
if (next[iter] != 0) {
iter = next[iter];
} else {
return iter;
}
}
return iter;
}
public IntegerEntryIterator iterator() {
return new IntegerEntryIterator() {
int index = 1;
int readIndex = -1;
public boolean hasNext() {
while (index <= alloc && removed[index]) {
index++;
}
return index <= alloc;
}
public int getEntryKey() {
return keys[readIndex];
}
public int getEntryValue() {
return values[readIndex];
}
public void next() {
if (!hasNext()) {
throw new IllegalStateException();
}
readIndex = index;
index++;
}
};
}
public String toString() {
IntegerEntryIterator iterator = iterator();
StringBuilder builder = new StringBuilder("{");
while (iterator.hasNext()) {
iterator.next();
builder.append(iterator.getEntryKey()).append("->").append(iterator.getEntryValue()).append(',');
}
if (builder.charAt(builder.length() - 1) == ',') {
builder.setLength(builder.length() - 1);
}
builder.append('}');
return builder.toString();
}
}
static class Segment implements Cloneable {
private Segment left;
private Segment right;
static long inf = (long) 1e18;
private long val = inf;
private long dirty;
public void modify(long d) {
val += d;
dirty += d;
}
public void pushUp() {
}
public void pushDown() {
if (dirty != 0) {
left.modify(dirty);
right.modify(dirty);
dirty = 0;
}
}
public Segment(int l, int r) {
if (l < r) {
int m = (l + r) >> 1;
left = new Segment(l, m);
right = new Segment(m + 1, r);
pushUp();
} else {
}
}
private boolean covered(int ll, int rr, int l, int r) {
return ll <= l && rr >= r;
}
private boolean noIntersection(int ll, int rr, int l, int r) {
return ll > r || rr < l;
}
public void update(int ll, int rr, int l, int r, long x) {
if (noIntersection(ll, rr, l, r)) {
return;
}
if (covered(ll, rr, l, r)) {
modify(x);
return;
}
pushDown();
int m = (l + r) >> 1;
left.update(ll, rr, l, m, x);
right.update(ll, rr, m + 1, r, x);
pushUp();
}
public long query(int ll, int rr, int l, int r) {
if (noIntersection(ll, rr, l, r)) {
return -inf;
}
if (covered(ll, rr, l, r)) {
return val;
}
pushDown();
int m = (l + r) >> 1;
return Math.max(left.query(ll, rr, l, m),
right.query(ll, rr, m + 1, r));
}
private Segment deepClone() {
Segment seg = clone();
if (seg.left != null) {
seg.left = seg.left.deepClone();
}
if (seg.right != null) {
seg.right = seg.right.deepClone();
}
return seg;
}
protected Segment clone() {
try {
return (Segment) super.clone();
} catch (CloneNotSupportedException e) {
throw new RuntimeException(e);
}
}
private void toString(StringBuilder builder) {
if (left == null && right == null) {
builder.append(val).append(",");
return;
}
pushDown();
left.toString(builder);
right.toString(builder);
}
public String toString() {
StringBuilder builder = new StringBuilder();
deepClone().toString(builder);
if (builder.length() > 0) {
builder.setLength(builder.length() - 1);
}
return builder.toString();
}
}
static class Debug {
private boolean offline;
private PrintStream out = System.err;
static int[] empty = new int[0];
public Debug(boolean enable) {
offline = enable && System.getSecurityManager() == null;
}
public Debug debug(String name, int x) {
if (offline) {
debug(name, "" + x);
}
return this;
}
public Debug debug(String name, String x) {
if (offline) {
out.printf("%s=%s", name, x);
out.println();
}
return this;
}
public Debug debug(String name, Object x) {
return debug(name, x, empty);
}
public Debug debug(String name, Object x, int... indexes) {
if (offline) {
if (x == null || !x.getClass().isArray()) {
out.append(name);
for (int i : indexes) {
out.printf("[%d]", i);
}
out.append("=").append("" + x);
out.println();
} else {
indexes = Arrays.copyOf(indexes, indexes.length + 1);
if (x instanceof byte[]) {
byte[] arr = (byte[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof short[]) {
short[] arr = (short[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof boolean[]) {
boolean[] arr = (boolean[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof char[]) {
char[] arr = (char[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof int[]) {
int[] arr = (int[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof float[]) {
float[] arr = (float[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof double[]) {
double[] arr = (double[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else if (x instanceof long[]) {
long[] arr = (long[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
} else {
Object[] arr = (Object[]) x;
for (int i = 0; i < arr.length; i++) {
indexes[indexes.length - 1] = i;
debug(name, arr[i], indexes);
}
}
}
}
return this;
}
}
static class FastOutput implements AutoCloseable, Closeable, Appendable {
private StringBuilder cache = new StringBuilder(10 << 20);
private final Writer os;
public FastOutput append(CharSequence csq) {
cache.append(csq);
return this;
}
public FastOutput append(CharSequence csq, int start, int end) {
cache.append(csq, start, end);
return this;
}
public FastOutput(Writer os) {
this.os = os;
}
public FastOutput(OutputStream os) {
this(new OutputStreamWriter(os));
}
public FastOutput append(char c) {
cache.append(c);
return this;
}
public FastOutput append(long c) {
cache.append(c);
return this;
}
public FastOutput append(String c) {
cache.append(c);
return this;
}
public FastOutput println(String c) {
return append(c).println();
}
public FastOutput println(long c) {
return append(c).println();
}
public FastOutput println() {
cache.append(System.lineSeparator());
return this;
}
public FastOutput flush() {
try {
os.append(cache);
os.flush();
cache.setLength(0);
} catch (IOException e) {
throw new UncheckedIOException(e);
}
return this;
}
public void close() {
flush();
try {
os.close();
} catch (IOException e) {
throw new UncheckedIOException(e);
}
}
public String toString() {
return cache.toString();
}
}
static class FastInput {
private final InputStream is;
private byte[] buf = new byte[1 << 20];
private int bufLen;
private int bufOffset;
private int next;
public FastInput(InputStream is) {
this.is = is;
}
private int read() {
while (bufLen == bufOffset) {
bufOffset = 0;
try {
bufLen = is.read(buf);
} catch (IOException e) {
bufLen = -1;
}
if (bufLen == -1) {
return -1;
}
}
return buf[bufOffset++];
}
public void skipBlank() {
while (next >= 0 && next <= 32) {
next = read();
}
}
public int readInt() {
int sign = 1;
skipBlank();
if (next == '+' || next == '-') {
sign = next == '+' ? 1 : -1;
next = read();
}
int val = 0;
if (sign == 1) {
while (next >= '0' && next <= '9') {
val = val * 10 + next - '0';
next = read();
}
} else {
while (next >= '0' && next <= '9') {
val = val * 10 - next + '0';
next = read();
}
}
return val;
}
}
static class SequenceUtils {
public static int upperBound(int[] data, int x, int l, int r) {
int excess = r + 1;
while (l < r) {
int m = (l + r) >>> 1;
if (data[m] < x) {
l = m + 1;
} else {
r = m;
}
}
return data[l] >= x ? l : excess;
}
}
static interface IntegerEntryIterator {
boolean hasNext();
void next();
int getEntryKey();
int getEntryValue();
}
}
| 4JAVA
| {
"input": [
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -2 5 3 6 7 8 2 4\n3\n3 7 10\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 22 -14\n4\n2 3 5 6\n",
"4\n4 1 1 4\n-10 5 4 1\n1\n4\n",
"2\n2 2\n-10 6\n1\n1\n",
"4\n4 1 1 4\n-10 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 5 6 1\n1\n4\n",
"1\n1\n-10\n1\n1\n",
"4\n4 1 1 4\n-10 5 5 2\n1\n4\n",
"4\n4 1 1 4\n-10 5 4 2\n1\n4\n",
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -2 5 3 6 7 8 2 4\n2\n3 7 10\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 22 -14\n4\n4 3 5 6\n",
"4\n4 1 1 4\n-10 3 5 2\n1\n4\n",
"4\n4 1 1 4\n-10 3 4 2\n1\n4\n",
"4\n1 1 1 4\n-10 8 5 2\n1\n4\n",
"4\n4 2 2 4\n-16 5 5 1\n1\n4\n",
"4\n2 1 1 4\n-10 3 5 2\n1\n1\n",
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -1 5 3 6 7 8 2 4\n3\n3 7 10\n",
"4\n4 1 2 4\n-10 5 6 1\n1\n4\n",
"4\n4 1 2 4\n-10 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 5 6 0\n1\n4\n",
"4\n4 1 2 4\n-10 10 6 1\n1\n4\n",
"4\n4 1 2 4\n-2 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 8 5 2\n1\n4\n",
"4\n4 1 2 4\n-10 10 6 0\n1\n4\n",
"4\n4 1 1 4\n-10 10 6 0\n1\n4\n",
"2\n2 2\n-2 6\n1\n1\n",
"4\n4 1 2 4\n-10 5 2 1\n1\n4\n",
"4\n4 1 2 4\n-10 5 4 2\n1\n4\n",
"4\n4 2 2 4\n-10 5 5 1\n1\n4\n",
"4\n4 1 1 4\n-10 5 6 -1\n1\n4\n",
"11\n4 1 3 3 7 8 7 9 10 7 11\n3 5 0 -2 5 3 6 7 8 2 4\n2\n3 4 10\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 22 -14\n4\n4 6 5 6\n",
"4\n2 1 1 4\n-10 3 5 2\n1\n4\n",
"4\n4 1 2 4\n-2 5 5 0\n1\n4\n",
"4\n4 1 1 4\n-10 8 5 3\n1\n4\n",
"4\n4 1 2 4\n-10 5 2 2\n1\n4\n",
"4\n4 1 1 4\n-4 5 6 -1\n1\n4\n",
"6\n2 1 5 3 6 5\n3 -9 0 16 7 -14\n4\n4 6 5 6\n",
"4\n4 1 2 4\n-1 5 5 1\n1\n4\n",
"4\n4 1 2 4\n-10 8 5 3\n1\n4\n",
"4\n4 1 2 4\n-4 5 2 2\n1\n4\n",
"4\n4 1 1 4\n-4 4 6 -1\n1\n4\n",
"4\n4 2 2 4\n-10 8 5 3\n1\n4\n",
"4\n4 1 2 4\n-4 7 2 2\n1\n4\n",
"4\n4 2 2 4\n-10 8 5 1\n1\n4\n",
"4\n4 1 2 4\n-4 7 2 3\n1\n4\n",
"4\n4 2 2 4\n-10 8 5 1\n1\n1\n",
"4\n4 1 4 4\n-4 7 2 2\n1\n4\n",
"4\n4 1 4 4\n-4 7 3 2\n1\n4\n",
"4\n4 1 4 4\n-5 7 3 2\n1\n4\n",
"4\n4 2 1 4\n-10 5 4 1\n1\n4\n",
"2\n2 2\n-10 3\n1\n1\n",
"4\n4 1 1 4\n-10 5 5 1\n1\n3\n",
"6\n2 1 5 3 6 4\n3 -9 0 16 22 -14\n4\n2 3 5 6\n",
"4\n4 1 1 2\n-10 5 5 2\n1\n4\n",
"4\n4 1 2 4\n-10 5 10 1\n1\n4\n",
"4\n4 1 2 4\n-10 5 5 2\n1\n4\n",
"4\n4 2 1 4\n-10 5 6 0\n1\n4\n"
],
"output": [
"YES\n20",
"NO",
"YES\n-1",
"NO",
"YES\n0",
"YES\n0",
"YES\n0",
"YES\n0\n",
"YES\n-1\n",
"YES\n28\n",
"NO\n",
"YES\n-2\n",
"YES\n-3\n",
"YES\n3\n",
"YES\n-6\n",
"YES\n-8\n",
"YES\n21\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"NO\n",
"YES\n-3\n",
"YES\n-1\n",
"YES\n0\n",
"YES\n-1\n",
"NO\n",
"NO\n",
"YES\n-2\n",
"YES\n0\n",
"YES\n0\n",
"YES\n-3\n",
"YES\n-1\n",
"NO\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n-1\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"NO\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n-1\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n",
"YES\n0\n"
]
} | 2CODEFORCES
|
1355_A. Sequence with Digits_37886 | Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$
Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representation of x without leading zeroes. For examples refer to notes.
Your task is calculate a_{K} for given a_{1} and K.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of independent test cases.
Each test case consists of a single line containing two integers a_{1} and K (1 ≤ a_{1} ≤ 10^{18}, 1 ≤ K ≤ 10^{16}) separated by a space.
Output
For each test case print one integer a_{K} on a separate line.
Example
Input
8
1 4
487 1
487 2
487 3
487 4
487 5
487 6
487 7
Output
42
487
519
528
544
564
588
628
Note
a_{1} = 487
a_{2} = a_{1} + minDigit(a_{1}) ⋅ maxDigit(a_{1}) = 487 + min (4, 8, 7) ⋅ max (4, 8, 7) = 487 + 4 ⋅ 8 = 519
a_{3} = a_{2} + minDigit(a_{2}) ⋅ maxDigit(a_{2}) = 519 + min (5, 1, 9) ⋅ max (5, 1, 9) = 519 + 1 ⋅ 9 = 528
a_{4} = a_{3} + minDigit(a_{3}) ⋅ maxDigit(a_{3}) = 528 + min (5, 2, 8) ⋅ max (5, 2, 8) = 528 + 2 ⋅ 8 = 544
a_{5} = a_{4} + minDigit(a_{4}) ⋅ maxDigit(a_{4}) = 544 + min (5, 4, 4) ⋅ max (5, 4, 4) = 544 + 4 ⋅ 5 = 564
a_{6} = a_{5} + minDigit(a_{5}) ⋅ maxDigit(a_{5}) = 564 + min (5, 6, 4) ⋅ max (5, 6, 4) = 564 + 4 ⋅ 6 = 588
a_{7} = a_{6} + minDigit(a_{6}) ⋅ maxDigit(a_{6}) = 588 + min (5, 8, 8) ⋅ max (5, 8, 8) = 588 + 5 ⋅ 8 = 628 | import sys
def maxdig(x):
return max([int(y) for y in str(x)])
def mindig(x):
return min([int(y) for y in str(x)])
t = int(sys.stdin.readline())
for t in range(t):
a1,k = list(map(int, sys.stdin.readline().strip().split(' ')))
j = 1
aj = a1
while j < k and "0" not in str(aj):
aj = aj + maxdig(aj) * mindig(aj)
j += 1
print(aj) | 1Python2
| {
"input": [
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 7\n",
"1\n1 333\n",
"1\n1 589\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 1\n",
"1\n3 98\n",
"1\n3 7\n",
"1\n4 7\n",
"1\n2 2\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n937 6\n487 1\n",
"1\n1 2\n",
"1\n2 3\n",
"1\n1 1\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 10\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n33 6\n487 1\n",
"1\n5 98\n",
"1\n8 7\n",
"1\n3 1\n",
"1\n1 876\n",
"1\n1 70\n",
"1\n2 70\n",
"1\n2 98\n",
"1\n3 16\n",
"1\n2 7\n",
"1\n2 333\n",
"1\n1 356\n",
"1\n1 1436\n",
"1\n2 46\n",
"1\n2 93\n",
"1\n3 134\n",
"1\n3 14\n",
"1\n4 12\n",
"1\n2 232\n",
"1\n1 51\n",
"1\n2 1436\n",
"1\n1 93\n",
"1\n2 134\n",
"1\n3 22\n",
"1\n2 12\n",
"1\n4 232\n",
"1\n1 17\n",
"1\n2 2303\n",
"1\n1 52\n",
"1\n2 173\n",
"1\n3 23\n",
"1\n2 22\n",
"1\n4 198\n",
"1\n1 26\n",
"1\n1 2303\n",
"1\n1 28\n",
"1\n1 173\n",
"1\n2 23\n",
"1\n2 4\n",
"1\n4 230\n",
"1\n1 9\n",
"1\n2 879\n",
"1\n2 37\n",
"1\n4 4\n",
"1\n4 136\n",
"1\n1 13\n",
"1\n2 55\n",
"1\n4 77\n",
"1\n1 20\n",
"1\n2 1\n",
"1\n3 77\n",
"1\n2 20\n",
"1\n3 30\n",
"1\n1 27\n",
"1\n3 26\n",
"1\n1 32\n",
"1\n1 15\n",
"1\n1 3\n",
"1\n1 4\n",
"1\n1 201\n",
"1\n1 191\n",
"1\n1 1481\n",
"1\n1 112\n",
"1\n2 60\n",
"1\n3 83\n",
"1\n5 16\n",
"1\n4 9\n",
"1\n1 7\n",
"1\n2 76\n",
"1\n1 490\n",
"1\n2 32\n",
"1\n3 204\n",
"1\n4 13\n",
"1\n2 239\n",
"1\n2 82\n",
"1\n1 134\n",
"1\n1 22\n",
"1\n3 12\n",
"1\n4 357\n",
"1\n1 4187\n",
"1\n2 341\n",
"1\n5 23\n",
"1\n2 5\n",
"1\n3 198\n",
"1\n2 26\n",
"1\n1 4572\n",
"1\n1 39\n",
"1\n1 80\n"
],
"output": [
"42\n487\n519\n528\n544\n564\n588\n628\n",
"50\n",
"50\n",
"42\n487\n519\n528\n544\n564\n588\n487\n",
"102\n",
"62\n",
"20\n",
"6\n",
"42\n487\n519\n528\n544\n564\n1000\n487\n",
"2\n",
"42\n",
"1\n",
"42\n487\n519\n528\n544\n564\n588\n716\n",
"42\n487\n519\n528\n544\n564\n50\n487\n",
"30\n",
"152\n",
"3\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"20\n",
"20\n",
"50\n",
"50\n",
"20\n",
"50\n",
"2\n",
"102\n",
"50\n",
"102\n",
"50\n",
"102\n",
"50\n",
"50\n",
"6\n",
"42\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"30\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"30\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n"
]
} | 2CODEFORCES
|
1355_A. Sequence with Digits_37887 | Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$
Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representation of x without leading zeroes. For examples refer to notes.
Your task is calculate a_{K} for given a_{1} and K.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of independent test cases.
Each test case consists of a single line containing two integers a_{1} and K (1 ≤ a_{1} ≤ 10^{18}, 1 ≤ K ≤ 10^{16}) separated by a space.
Output
For each test case print one integer a_{K} on a separate line.
Example
Input
8
1 4
487 1
487 2
487 3
487 4
487 5
487 6
487 7
Output
42
487
519
528
544
564
588
628
Note
a_{1} = 487
a_{2} = a_{1} + minDigit(a_{1}) ⋅ maxDigit(a_{1}) = 487 + min (4, 8, 7) ⋅ max (4, 8, 7) = 487 + 4 ⋅ 8 = 519
a_{3} = a_{2} + minDigit(a_{2}) ⋅ maxDigit(a_{2}) = 519 + min (5, 1, 9) ⋅ max (5, 1, 9) = 519 + 1 ⋅ 9 = 528
a_{4} = a_{3} + minDigit(a_{3}) ⋅ maxDigit(a_{3}) = 528 + min (5, 2, 8) ⋅ max (5, 2, 8) = 528 + 2 ⋅ 8 = 544
a_{5} = a_{4} + minDigit(a_{4}) ⋅ maxDigit(a_{4}) = 544 + min (5, 4, 4) ⋅ max (5, 4, 4) = 544 + 4 ⋅ 5 = 564
a_{6} = a_{5} + minDigit(a_{5}) ⋅ maxDigit(a_{5}) = 564 + min (5, 6, 4) ⋅ max (5, 6, 4) = 564 + 4 ⋅ 6 = 588
a_{7} = a_{6} + minDigit(a_{6}) ⋅ maxDigit(a_{6}) = 588 + min (5, 8, 8) ⋅ max (5, 8, 8) = 588 + 5 ⋅ 8 = 628 | #include <bits/stdc++.h>
using namespace std;
const long long inf = 0x3f3f3f3f;
const long long maxn = 201110;
const long long M = 1e9 + 7;
long long n, m, k, ok;
long long mii(long long x) {
long long res = 9;
while (x) {
res = min(res, x % 10);
x /= 10;
}
return res;
}
long long mxx(long long x) {
long long res = 0;
while (x) {
res = max(res, x % 10);
x /= 10;
}
return res;
}
signed main() {
long long T;
cin >> T;
while (T--) {
cin >> n >> k;
long long mi = mii(n), mx = mxx(n);
for (long long i = 1; i < k && mi; i++) {
n += mi * mx;
mi = mii(n), mx = mxx(n);
}
cout << n << endl;
}
return 0;
}
| 2C++
| {
"input": [
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 7\n",
"1\n1 333\n",
"1\n1 589\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 1\n",
"1\n3 98\n",
"1\n3 7\n",
"1\n4 7\n",
"1\n2 2\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n937 6\n487 1\n",
"1\n1 2\n",
"1\n2 3\n",
"1\n1 1\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 10\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n33 6\n487 1\n",
"1\n5 98\n",
"1\n8 7\n",
"1\n3 1\n",
"1\n1 876\n",
"1\n1 70\n",
"1\n2 70\n",
"1\n2 98\n",
"1\n3 16\n",
"1\n2 7\n",
"1\n2 333\n",
"1\n1 356\n",
"1\n1 1436\n",
"1\n2 46\n",
"1\n2 93\n",
"1\n3 134\n",
"1\n3 14\n",
"1\n4 12\n",
"1\n2 232\n",
"1\n1 51\n",
"1\n2 1436\n",
"1\n1 93\n",
"1\n2 134\n",
"1\n3 22\n",
"1\n2 12\n",
"1\n4 232\n",
"1\n1 17\n",
"1\n2 2303\n",
"1\n1 52\n",
"1\n2 173\n",
"1\n3 23\n",
"1\n2 22\n",
"1\n4 198\n",
"1\n1 26\n",
"1\n1 2303\n",
"1\n1 28\n",
"1\n1 173\n",
"1\n2 23\n",
"1\n2 4\n",
"1\n4 230\n",
"1\n1 9\n",
"1\n2 879\n",
"1\n2 37\n",
"1\n4 4\n",
"1\n4 136\n",
"1\n1 13\n",
"1\n2 55\n",
"1\n4 77\n",
"1\n1 20\n",
"1\n2 1\n",
"1\n3 77\n",
"1\n2 20\n",
"1\n3 30\n",
"1\n1 27\n",
"1\n3 26\n",
"1\n1 32\n",
"1\n1 15\n",
"1\n1 3\n",
"1\n1 4\n",
"1\n1 201\n",
"1\n1 191\n",
"1\n1 1481\n",
"1\n1 112\n",
"1\n2 60\n",
"1\n3 83\n",
"1\n5 16\n",
"1\n4 9\n",
"1\n1 7\n",
"1\n2 76\n",
"1\n1 490\n",
"1\n2 32\n",
"1\n3 204\n",
"1\n4 13\n",
"1\n2 239\n",
"1\n2 82\n",
"1\n1 134\n",
"1\n1 22\n",
"1\n3 12\n",
"1\n4 357\n",
"1\n1 4187\n",
"1\n2 341\n",
"1\n5 23\n",
"1\n2 5\n",
"1\n3 198\n",
"1\n2 26\n",
"1\n1 4572\n",
"1\n1 39\n",
"1\n1 80\n"
],
"output": [
"42\n487\n519\n528\n544\n564\n588\n628\n",
"50\n",
"50\n",
"42\n487\n519\n528\n544\n564\n588\n487\n",
"102\n",
"62\n",
"20\n",
"6\n",
"42\n487\n519\n528\n544\n564\n1000\n487\n",
"2\n",
"42\n",
"1\n",
"42\n487\n519\n528\n544\n564\n588\n716\n",
"42\n487\n519\n528\n544\n564\n50\n487\n",
"30\n",
"152\n",
"3\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"20\n",
"20\n",
"50\n",
"50\n",
"20\n",
"50\n",
"2\n",
"102\n",
"50\n",
"102\n",
"50\n",
"102\n",
"50\n",
"50\n",
"6\n",
"42\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"30\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"30\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n"
]
} | 2CODEFORCES
|
1355_A. Sequence with Digits_37888 | Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$
Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representation of x without leading zeroes. For examples refer to notes.
Your task is calculate a_{K} for given a_{1} and K.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of independent test cases.
Each test case consists of a single line containing two integers a_{1} and K (1 ≤ a_{1} ≤ 10^{18}, 1 ≤ K ≤ 10^{16}) separated by a space.
Output
For each test case print one integer a_{K} on a separate line.
Example
Input
8
1 4
487 1
487 2
487 3
487 4
487 5
487 6
487 7
Output
42
487
519
528
544
564
588
628
Note
a_{1} = 487
a_{2} = a_{1} + minDigit(a_{1}) ⋅ maxDigit(a_{1}) = 487 + min (4, 8, 7) ⋅ max (4, 8, 7) = 487 + 4 ⋅ 8 = 519
a_{3} = a_{2} + minDigit(a_{2}) ⋅ maxDigit(a_{2}) = 519 + min (5, 1, 9) ⋅ max (5, 1, 9) = 519 + 1 ⋅ 9 = 528
a_{4} = a_{3} + minDigit(a_{3}) ⋅ maxDigit(a_{3}) = 528 + min (5, 2, 8) ⋅ max (5, 2, 8) = 528 + 2 ⋅ 8 = 544
a_{5} = a_{4} + minDigit(a_{4}) ⋅ maxDigit(a_{4}) = 544 + min (5, 4, 4) ⋅ max (5, 4, 4) = 544 + 4 ⋅ 5 = 564
a_{6} = a_{5} + minDigit(a_{5}) ⋅ maxDigit(a_{5}) = 564 + min (5, 6, 4) ⋅ max (5, 6, 4) = 564 + 4 ⋅ 6 = 588
a_{7} = a_{6} + minDigit(a_{6}) ⋅ maxDigit(a_{6}) = 588 + min (5, 8, 8) ⋅ max (5, 8, 8) = 588 + 5 ⋅ 8 = 628 | ans = []
for h in range(int(input())):
a, k = map(int, input().strip().split())
temp = a
a = str(a)
for i in range(k-1):
maxi = int(max(a)); mini = int(min(a))
a = str(temp + maxi*mini)
if '0' in a:
break
temp = int(a)
ans.append(a)
print('\n'.join(ans))
| 3Python3
| {
"input": [
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 7\n",
"1\n1 333\n",
"1\n1 589\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 1\n",
"1\n3 98\n",
"1\n3 7\n",
"1\n4 7\n",
"1\n2 2\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n937 6\n487 1\n",
"1\n1 2\n",
"1\n2 3\n",
"1\n1 1\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 10\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n33 6\n487 1\n",
"1\n5 98\n",
"1\n8 7\n",
"1\n3 1\n",
"1\n1 876\n",
"1\n1 70\n",
"1\n2 70\n",
"1\n2 98\n",
"1\n3 16\n",
"1\n2 7\n",
"1\n2 333\n",
"1\n1 356\n",
"1\n1 1436\n",
"1\n2 46\n",
"1\n2 93\n",
"1\n3 134\n",
"1\n3 14\n",
"1\n4 12\n",
"1\n2 232\n",
"1\n1 51\n",
"1\n2 1436\n",
"1\n1 93\n",
"1\n2 134\n",
"1\n3 22\n",
"1\n2 12\n",
"1\n4 232\n",
"1\n1 17\n",
"1\n2 2303\n",
"1\n1 52\n",
"1\n2 173\n",
"1\n3 23\n",
"1\n2 22\n",
"1\n4 198\n",
"1\n1 26\n",
"1\n1 2303\n",
"1\n1 28\n",
"1\n1 173\n",
"1\n2 23\n",
"1\n2 4\n",
"1\n4 230\n",
"1\n1 9\n",
"1\n2 879\n",
"1\n2 37\n",
"1\n4 4\n",
"1\n4 136\n",
"1\n1 13\n",
"1\n2 55\n",
"1\n4 77\n",
"1\n1 20\n",
"1\n2 1\n",
"1\n3 77\n",
"1\n2 20\n",
"1\n3 30\n",
"1\n1 27\n",
"1\n3 26\n",
"1\n1 32\n",
"1\n1 15\n",
"1\n1 3\n",
"1\n1 4\n",
"1\n1 201\n",
"1\n1 191\n",
"1\n1 1481\n",
"1\n1 112\n",
"1\n2 60\n",
"1\n3 83\n",
"1\n5 16\n",
"1\n4 9\n",
"1\n1 7\n",
"1\n2 76\n",
"1\n1 490\n",
"1\n2 32\n",
"1\n3 204\n",
"1\n4 13\n",
"1\n2 239\n",
"1\n2 82\n",
"1\n1 134\n",
"1\n1 22\n",
"1\n3 12\n",
"1\n4 357\n",
"1\n1 4187\n",
"1\n2 341\n",
"1\n5 23\n",
"1\n2 5\n",
"1\n3 198\n",
"1\n2 26\n",
"1\n1 4572\n",
"1\n1 39\n",
"1\n1 80\n"
],
"output": [
"42\n487\n519\n528\n544\n564\n588\n628\n",
"50\n",
"50\n",
"42\n487\n519\n528\n544\n564\n588\n487\n",
"102\n",
"62\n",
"20\n",
"6\n",
"42\n487\n519\n528\n544\n564\n1000\n487\n",
"2\n",
"42\n",
"1\n",
"42\n487\n519\n528\n544\n564\n588\n716\n",
"42\n487\n519\n528\n544\n564\n50\n487\n",
"30\n",
"152\n",
"3\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"20\n",
"20\n",
"50\n",
"50\n",
"20\n",
"50\n",
"2\n",
"102\n",
"50\n",
"102\n",
"50\n",
"102\n",
"50\n",
"50\n",
"6\n",
"42\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"30\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"30\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n"
]
} | 2CODEFORCES
|
1355_A. Sequence with Digits_37889 | Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$
Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representation of x without leading zeroes. For examples refer to notes.
Your task is calculate a_{K} for given a_{1} and K.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of independent test cases.
Each test case consists of a single line containing two integers a_{1} and K (1 ≤ a_{1} ≤ 10^{18}, 1 ≤ K ≤ 10^{16}) separated by a space.
Output
For each test case print one integer a_{K} on a separate line.
Example
Input
8
1 4
487 1
487 2
487 3
487 4
487 5
487 6
487 7
Output
42
487
519
528
544
564
588
628
Note
a_{1} = 487
a_{2} = a_{1} + minDigit(a_{1}) ⋅ maxDigit(a_{1}) = 487 + min (4, 8, 7) ⋅ max (4, 8, 7) = 487 + 4 ⋅ 8 = 519
a_{3} = a_{2} + minDigit(a_{2}) ⋅ maxDigit(a_{2}) = 519 + min (5, 1, 9) ⋅ max (5, 1, 9) = 519 + 1 ⋅ 9 = 528
a_{4} = a_{3} + minDigit(a_{3}) ⋅ maxDigit(a_{3}) = 528 + min (5, 2, 8) ⋅ max (5, 2, 8) = 528 + 2 ⋅ 8 = 544
a_{5} = a_{4} + minDigit(a_{4}) ⋅ maxDigit(a_{4}) = 544 + min (5, 4, 4) ⋅ max (5, 4, 4) = 544 + 4 ⋅ 5 = 564
a_{6} = a_{5} + minDigit(a_{5}) ⋅ maxDigit(a_{5}) = 564 + min (5, 6, 4) ⋅ max (5, 6, 4) = 564 + 4 ⋅ 6 = 588
a_{7} = a_{6} + minDigit(a_{6}) ⋅ maxDigit(a_{6}) = 588 + min (5, 8, 8) ⋅ max (5, 8, 8) = 588 + 5 ⋅ 8 = 628 | //package CodeForces;
import java.util.Scanner;
public class SequenceWithDigits {
public static void main(String[] args) {
// TODO Auto-generated method stub
Scanner s=new Scanner(System.in);
int t=s.nextInt();
while(t>0)
{
long n=s.nextLong();
long k=s.nextLong();
long num=n;
while(k-1>0)
{
//System.out.println(k);
long temp=num;
long x=num%10;
long min=x;long max=x;
while(num>0)
{
x=num%10;
min=Math.min(min,x);
max=Math.max(max,x);
num=num/10;
}
num=temp+min*max;
//System.out.println(num);
if(min==0)
{
break;
}
k--;
}
System.out.println(num);
t--;
}
}
}
| 4JAVA
| {
"input": [
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 7\n",
"1\n1 333\n",
"1\n1 589\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 1\n",
"1\n3 98\n",
"1\n3 7\n",
"1\n4 7\n",
"1\n2 2\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n937 6\n487 1\n",
"1\n1 2\n",
"1\n2 3\n",
"1\n1 1\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n487 6\n487 10\n",
"8\n1 4\n487 1\n487 2\n487 3\n487 4\n487 5\n33 6\n487 1\n",
"1\n5 98\n",
"1\n8 7\n",
"1\n3 1\n",
"1\n1 876\n",
"1\n1 70\n",
"1\n2 70\n",
"1\n2 98\n",
"1\n3 16\n",
"1\n2 7\n",
"1\n2 333\n",
"1\n1 356\n",
"1\n1 1436\n",
"1\n2 46\n",
"1\n2 93\n",
"1\n3 134\n",
"1\n3 14\n",
"1\n4 12\n",
"1\n2 232\n",
"1\n1 51\n",
"1\n2 1436\n",
"1\n1 93\n",
"1\n2 134\n",
"1\n3 22\n",
"1\n2 12\n",
"1\n4 232\n",
"1\n1 17\n",
"1\n2 2303\n",
"1\n1 52\n",
"1\n2 173\n",
"1\n3 23\n",
"1\n2 22\n",
"1\n4 198\n",
"1\n1 26\n",
"1\n1 2303\n",
"1\n1 28\n",
"1\n1 173\n",
"1\n2 23\n",
"1\n2 4\n",
"1\n4 230\n",
"1\n1 9\n",
"1\n2 879\n",
"1\n2 37\n",
"1\n4 4\n",
"1\n4 136\n",
"1\n1 13\n",
"1\n2 55\n",
"1\n4 77\n",
"1\n1 20\n",
"1\n2 1\n",
"1\n3 77\n",
"1\n2 20\n",
"1\n3 30\n",
"1\n1 27\n",
"1\n3 26\n",
"1\n1 32\n",
"1\n1 15\n",
"1\n1 3\n",
"1\n1 4\n",
"1\n1 201\n",
"1\n1 191\n",
"1\n1 1481\n",
"1\n1 112\n",
"1\n2 60\n",
"1\n3 83\n",
"1\n5 16\n",
"1\n4 9\n",
"1\n1 7\n",
"1\n2 76\n",
"1\n1 490\n",
"1\n2 32\n",
"1\n3 204\n",
"1\n4 13\n",
"1\n2 239\n",
"1\n2 82\n",
"1\n1 134\n",
"1\n1 22\n",
"1\n3 12\n",
"1\n4 357\n",
"1\n1 4187\n",
"1\n2 341\n",
"1\n5 23\n",
"1\n2 5\n",
"1\n3 198\n",
"1\n2 26\n",
"1\n1 4572\n",
"1\n1 39\n",
"1\n1 80\n"
],
"output": [
"42\n487\n519\n528\n544\n564\n588\n628\n",
"50\n",
"50\n",
"42\n487\n519\n528\n544\n564\n588\n487\n",
"102\n",
"62\n",
"20\n",
"6\n",
"42\n487\n519\n528\n544\n564\n1000\n487\n",
"2\n",
"42\n",
"1\n",
"42\n487\n519\n528\n544\n564\n588\n716\n",
"42\n487\n519\n528\n544\n564\n50\n487\n",
"30\n",
"152\n",
"3\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"20\n",
"50\n",
"50\n",
"50\n",
"20\n",
"20\n",
"50\n",
"50\n",
"20\n",
"50\n",
"2\n",
"102\n",
"50\n",
"102\n",
"50\n",
"102\n",
"50\n",
"50\n",
"6\n",
"42\n",
"50\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"30\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"50\n",
"50\n",
"102\n",
"20\n",
"50\n",
"50\n",
"30\n",
"50\n",
"102\n",
"50\n",
"50\n",
"50\n",
"50\n"
]
} | 2CODEFORCES
|
1374_F. Cyclic Shifts Sorting_37890 | You are given an array a consisting of n integers.
In one move, you can choose some index i (1 ≤ i ≤ n - 2) and shift the segment [a_i, a_{i + 1}, a_{i + 2}] cyclically to the right (i.e. replace the segment [a_i, a_{i + 1}, a_{i + 2}] with [a_{i + 2}, a_i, a_{i + 1}]).
Your task is to sort the initial array by no more than n^2 such operations or say that it is impossible to do that.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (3 ≤ n ≤ 500) — the length of a. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 500), where a_i is the i-th element a.
It is guaranteed that the sum of n does not exceed 500.
Output
For each test case, print the answer: -1 on the only line if it is impossible to sort the given array using operations described in the problem statement, or the number of operations ans on the first line and ans integers idx_1, idx_2, ..., idx_{ans} (1 ≤ idx_i ≤ n - 2), where idx_i is the index of left border of the segment for the i-th operation. You should print indices in order of performing operations.
Example
Input
5
5
1 2 3 4 5
5
5 4 3 2 1
8
8 4 5 2 3 6 7 3
7
5 2 1 6 4 7 3
6
1 2 3 3 6 4
Output
0
6
3 1 3 2 2 3
13
2 1 1 6 4 2 4 3 3 4 4 6 6
-1
4
3 3 4 4 |
# Author : raj1307 - Raj Singh
# Date : 01.07.2020
from __future__ import division, print_function
import os,sys
from io import BytesIO, IOBase
if sys.version_info[0] < 3:
from __builtin__ import xrange as range
from future_builtins import ascii, filter, hex, map, oct, zip
def ii(): return int(input())
def si(): return input()
def mi(): return map(int,input().strip().split(" "))
def msi(): return map(str,input().strip().split(" "))
def li(): return list(mi())
def dmain():
sys.setrecursionlimit(100000000)
threading.stack_size(10240000)
thread = threading.Thread(target=main)
thread.start()
#from collections import deque, Counter, OrderedDict,defaultdict
#from heapq import nsmallest, nlargest, heapify,heappop ,heappush, heapreplace
#from math import log,sqrt,factorial,pi
#from bisect import bisect,bisect_left,bisect_right,insort,insort_left,insort_right
#from decimal import *,threading
#from itertools import permutations
#Copy 2D list m = [x[:] for x in mark] .. Avoid Using Deepcopy
abc='abcdefghijklmnopqrstuvwxyz'
abd={'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's': 18, 't': 19, 'u': 20, 'v': 21, 'w': 22, 'x': 23, 'y': 24, 'z': 25}
mod=1000000007
#mod=998244353
inf = float("inf")
vow=['a','e','i','o','u']
dx,dy=[-1,1,0,0],[0,0,1,-1]
def getKey(item): return item[0]
def sort2(l):return sorted(l, key=getKey)
def d2(n,m,num):return [[num for x in range(m)] for y in range(n)]
def isPowerOfTwo (x): return (x and (not(x & (x - 1))) )
def decimalToBinary(n): return bin(n).replace("0b","")
def ntl(n):return [int(i) for i in str(n)]
def ncr(n,r): return factorial(n)//(factorial(r)*factorial(n-r))
def ceil(x,y):
if x%y==0:
return x//y
else:
return x//y+1
def powerMod(x,y,p):
res = 1
x %= p
while y > 0:
if y&1:
res = (res*x)%p
y = y>>1
x = (x*x)%p
return res
def gcd(x, y):
while y:
x, y = y, x % y
return x
def isPrime(n) : # Check Prime Number or not
if (n <= 1) : return False
if (n <= 3) : return True
if (n % 2 == 0 or n % 3 == 0) : return False
i = 5
while(i * i <= n) :
if (n % i == 0 or n % (i + 2) == 0) :
return False
i = i + 6
return True
def read():
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def main():
for _ in range(ii()):
n=ii()
a=li()
ans=[]
cur=0
f=1
pos=0
l=[]
for i in range(n):
l.append(a[i])
l.sort()
while pos!=n-1: # for every mum in thr array
if f==0: # if fslse directly break out of the loop
break
cur=l[pos]
for i in range(n):
if a[i]==cur and pos<=i:
if i==pos: # if the eleemnt is already in th req pos
break
j=i
if pos==n-2: # need to check if we have reached the second last ele
if a[pos]<=a[pos+1]:
break
X=a[pos-1]
Y=a[pos]
Z=a[pos+1]
a[pos-1]=Z
a[pos]=X
a[pos+1]=Y
ans.append(pos-1)
if a[pos-1] <= a[pos] and a[pos] <= a[pos+1]:
break
flag=0
#print(pos,'k')
for i in range(pos-1,0,-1):
X=a[i-1]
Y=a[i]
Z=a[i+1]
a[i-1]=Z
a[i]=X
a[i+1]=Y
ans.append(i-1)
if a[i-1] <= a[i] and a[i] <= a[i+1]:
flag=1
break
if flag==0:
f=0
break
# 2 2 3 5 4
# 2 2 4 3 5
# 2 3 2 4 5
# 2 2 3 4 5
# 2 3 3 5 4
# 2 3 4 3 5
while True:
if j-pos<=2:
X=a[pos]
Y=a[pos+1]
Z=a[pos+2]
if X==cur:
break
ans.append(pos)
if Y==cur:
a[pos]=Z
a[pos+1]=X
a[pos+2]=Y
elif Z==cur:
a[pos]=Z
a[pos+1]=X
a[pos+2]=Y
else:
ans.append(j-2)
X=a[j-2]
Y=a[j-1]
Z=a[j]
a[j-2]=Z
a[j-1]=X
a[j]=Y
j-=2
pos+=1
if f==0:
print(-1)
else:
print(len(ans))
for i in range(len(ans)):
print(ans[i]+1,end=' ')
print()
# region fastio
# template taken from https://github.com/cheran-senthil/PyRival/blob/master/templates/template.py
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
def print(*args, **kwargs):
"""Prints the values to a stream, or to sys.stdout by default."""
sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
at_start = True
for x in args:
if not at_start:
file.write(sep)
file.write(str(x))
at_start = False
file.write(kwargs.pop("end", "\n"))
if kwargs.pop("flush", False):
file.flush()
if sys.version_info[0] < 3:
sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
# endregion
if __name__ == "__main__":
#read()
main()
#dmain()
# Comment Read()
| 1Python2
| {
"input": [
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 782 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 459 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 196 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 613 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 58 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 7 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 459 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 67 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 3 3 4 2\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 433 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 154 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 69 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 81 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 172 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 517 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 813 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 74 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n0 2 3 3 6 4\n",
"5\n5\n1 3 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n"
],
"output": [
"0\n\n6\n3 1 3 2 2 3 \n13\n2 1 1 6 4 2 4 3 3 4 4 6 6 \n-1\n4\n3 3 4 4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1277\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1275\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 85 83 81 79 77 75 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1278\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1331\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 44 42 40 38 36 34 32 30 28 26 24 22 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 62 60 58 56 54 52 50 48 46 44 43 43 62 60 58 56 54 52 50 48 46 45 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 74 72 70 68 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 86 84 82 81 81 82 86 84 83 83 93 91 89 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1279\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"1312\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 80 78 76 74 72 70 68 66 64 62 60 59 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 98 96 98 97 97 \n",
"1284\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1295\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 86 84 82 80 81 86 84 82 92 90 88 86 84 83 83 87 85 84 84 92 90 88 86 94 92 90 88 87 87 91 89 88 88 89 92 90 98 96 94 93 93 94 94 97 96 96 98 97 97 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1327\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1337\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1317\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1301\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1305\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 \n",
"1300\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 98 96 94 96 96 98 97 97 98 \n",
"1270\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 91 91 96 94 92 97 95 93 94 94 95 95 98 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1274\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1322\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1287\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 95 93 91 89 94 92 90 91 91 95 93 92 92 97 95 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1338\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1294\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 75 73 71 69 67 65 64 64 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 88 86 84 82 80 78 76 74 72 71 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 77 77 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1307\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 88 86 84 85 85 92 90 88 86 95 93 91 89 87 89 88 88 92 90 89 89 90 90 91 91 98 96 94 92 94 98 96 95 95 98 96 98 97 97 98 97 96 95 94 93 92 91 \n",
"1302\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 89 93 91 90 90 98 96 94 93 93 94 94 96 96 98 97 97 98 \n",
"1276\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 62 60 58 56 54 52 50 48 46 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 68 66 64 62 60 58 56 54 52 50 48 47 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 72 70 68 66 64 62 60 58 56 54 52 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 73 71 69 67 65 63 61 59 57 55 54 54 71 69 67 65 63 61 59 57 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 71 71 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 87 87 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 96 94 92 97 95 93 96 96 97 97 98 98 97 96 95 94 93 92 91 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 97 96 96 97 97 98 98 98 97 96 95 94 93 92 \n",
"1267\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 24 22 20 18 16 14 13 13 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 16 15 15 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 41 39 37 35 33 31 29 27 25 23 21 20 20 21 21 45 43 41 39 37 35 33 31 29 27 25 23 22 22 49 47 45 43 41 39 37 35 33 31 29 27 25 23 44 42 40 38 36 34 32 30 28 26 24 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 48 46 44 42 40 38 36 34 32 30 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 39 37 35 33 32 32 37 35 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n-1\n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 95 98 97 97 98 98 97 96 95 94 93 92 \n",
"1285\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"3\n3 2 2 \n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 96 94 92 90 88 86 84 82 80 78 86 84 82 80 79 79 80 86 84 82 81 81 92 90 88 86 84 82 87 85 83 92 90 88 86 85 85 94 92 90 88 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1294\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 52 50 48 46 44 42 43 43 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 61 59 57 55 53 51 49 47 46 46 73 71 69 67 65 63 61 59 57 55 53 51 49 47 70 68 66 64 62 60 58 56 54 52 50 48 62 60 58 56 54 52 50 49 49 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 51 51 74 72 70 68 66 64 62 60 58 56 54 52 59 57 55 53 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 76 74 72 70 68 66 64 62 60 58 56 74 72 70 68 66 64 62 60 58 57 57 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 69 67 65 63 61 59 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 95 93 91 89 94 92 90 95 93 92 92 97 95 93 97 95 94 94 97 97 98 98 \n",
"1340\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 49 47 45 43 41 40 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 43 43 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 65 63 61 59 57 55 53 51 49 47 45 65 63 61 59 57 55 53 51 49 47 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 75 73 71 69 67 65 63 61 59 57 55 53 52 52 56 54 53 53 65 63 61 59 57 55 54 54 56 55 55 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 59 58 58 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 90 90 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 \n",
"1334\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1335\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 86 84 82 80 78 76 74 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 89 88 88 93 91 89 90 90 91 91 98 96 94 92 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 97 97 \n",
"1274\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 43 41 39 37 35 33 31 29 27 25 23 21 19 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 28 26 24 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 45 43 41 39 37 35 33 31 29 27 43 41 39 37 35 33 31 29 28 28 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 50 48 46 44 42 40 38 36 34 59 57 55 53 51 49 47 45 43 41 39 37 35 41 39 37 36 36 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 48 46 44 42 40 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 43 43 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 45 46 46 63 61 59 57 55 53 51 49 47 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 74 72 70 68 66 64 62 60 58 56 54 52 50 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 63 61 59 57 55 53 55 54 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 75 73 71 69 67 65 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 87 85 83 81 79 77 75 73 71 70 70 94 92 90 88 86 84 82 80 78 76 74 72 71 71 88 86 84 82 80 78 76 74 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 93 91 89 87 85 83 81 79 95 93 91 89 87 85 83 81 80 80 96 94 92 90 88 86 84 82 81 81 88 86 84 82 83 88 86 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n"
]
} | 2CODEFORCES
|
1374_F. Cyclic Shifts Sorting_37891 | You are given an array a consisting of n integers.
In one move, you can choose some index i (1 ≤ i ≤ n - 2) and shift the segment [a_i, a_{i + 1}, a_{i + 2}] cyclically to the right (i.e. replace the segment [a_i, a_{i + 1}, a_{i + 2}] with [a_{i + 2}, a_i, a_{i + 1}]).
Your task is to sort the initial array by no more than n^2 such operations or say that it is impossible to do that.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (3 ≤ n ≤ 500) — the length of a. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 500), where a_i is the i-th element a.
It is guaranteed that the sum of n does not exceed 500.
Output
For each test case, print the answer: -1 on the only line if it is impossible to sort the given array using operations described in the problem statement, or the number of operations ans on the first line and ans integers idx_1, idx_2, ..., idx_{ans} (1 ≤ idx_i ≤ n - 2), where idx_i is the index of left border of the segment for the i-th operation. You should print indices in order of performing operations.
Example
Input
5
5
1 2 3 4 5
5
5 4 3 2 1
8
8 4 5 2 3 6 7 3
7
5 2 1 6 4 7 3
6
1 2 3 3 6 4
Output
0
6
3 1 3 2 2 3
13
2 1 1 6 4 2 4 3 3 4 4 6 6
-1
4
3 3 4 4 | #include <bits/stdc++.h>
using namespace std;
int v[505];
vector<int> rasp;
void mov(int poz) {
rasp.push_back(poz + 1);
swap(v[poz], v[poz + 1]);
swap(v[poz], v[poz + 2]);
}
int main() {
int t, i1, n, i, j;
scanf("%d", &t);
for (i1 = 1; i1 <= t; i1++) {
scanf("%d", &n);
for (i = 0; i < n; i++) scanf("%d", &v[i]);
rasp.clear();
for (i = 2; i < n; i++) {
for (j = 0; j < n - i; j++)
if (v[j] > v[j + 1] && v[j] > v[j + 2]) mov(j);
if (v[n - i] > v[n - i + 1]) mov(n - i - 1);
}
for (i = 0; i < n - 2; i++)
while (v[i] > v[i + 1] || v[i] > v[i + 2]) mov(i);
for (i = 0; i < n - 1; i++)
if (v[i] > v[i + 1]) {
printf("-1\n");
break;
}
if (i == n - 1) {
printf("%d\n", rasp.size());
for (auto it : rasp) printf("%d ", it);
printf("\n");
}
}
return 0;
}
| 2C++
| {
"input": [
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 782 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 459 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 196 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 613 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 58 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 7 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 459 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 67 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 3 3 4 2\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 433 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 154 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 69 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 81 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 172 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 517 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 813 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 74 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n0 2 3 3 6 4\n",
"5\n5\n1 3 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n"
],
"output": [
"0\n\n6\n3 1 3 2 2 3 \n13\n2 1 1 6 4 2 4 3 3 4 4 6 6 \n-1\n4\n3 3 4 4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1277\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1275\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 85 83 81 79 77 75 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1278\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1331\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 44 42 40 38 36 34 32 30 28 26 24 22 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 62 60 58 56 54 52 50 48 46 44 43 43 62 60 58 56 54 52 50 48 46 45 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 74 72 70 68 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 86 84 82 81 81 82 86 84 83 83 93 91 89 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1279\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"1312\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 80 78 76 74 72 70 68 66 64 62 60 59 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 98 96 98 97 97 \n",
"1284\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1295\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 86 84 82 80 81 86 84 82 92 90 88 86 84 83 83 87 85 84 84 92 90 88 86 94 92 90 88 87 87 91 89 88 88 89 92 90 98 96 94 93 93 94 94 97 96 96 98 97 97 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1327\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1337\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1317\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1301\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1305\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 \n",
"1300\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 98 96 94 96 96 98 97 97 98 \n",
"1270\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 91 91 96 94 92 97 95 93 94 94 95 95 98 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1274\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1322\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1287\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 95 93 91 89 94 92 90 91 91 95 93 92 92 97 95 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1338\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1294\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 75 73 71 69 67 65 64 64 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 88 86 84 82 80 78 76 74 72 71 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 77 77 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1307\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 88 86 84 85 85 92 90 88 86 95 93 91 89 87 89 88 88 92 90 89 89 90 90 91 91 98 96 94 92 94 98 96 95 95 98 96 98 97 97 98 97 96 95 94 93 92 91 \n",
"1302\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 89 93 91 90 90 98 96 94 93 93 94 94 96 96 98 97 97 98 \n",
"1276\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 62 60 58 56 54 52 50 48 46 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 68 66 64 62 60 58 56 54 52 50 48 47 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 72 70 68 66 64 62 60 58 56 54 52 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 73 71 69 67 65 63 61 59 57 55 54 54 71 69 67 65 63 61 59 57 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 71 71 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 87 87 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 96 94 92 97 95 93 96 96 97 97 98 98 97 96 95 94 93 92 91 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 97 96 96 97 97 98 98 98 97 96 95 94 93 92 \n",
"1267\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 24 22 20 18 16 14 13 13 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 16 15 15 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 41 39 37 35 33 31 29 27 25 23 21 20 20 21 21 45 43 41 39 37 35 33 31 29 27 25 23 22 22 49 47 45 43 41 39 37 35 33 31 29 27 25 23 44 42 40 38 36 34 32 30 28 26 24 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 48 46 44 42 40 38 36 34 32 30 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 39 37 35 33 32 32 37 35 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n-1\n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 95 98 97 97 98 98 97 96 95 94 93 92 \n",
"1285\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"3\n3 2 2 \n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 96 94 92 90 88 86 84 82 80 78 86 84 82 80 79 79 80 86 84 82 81 81 92 90 88 86 84 82 87 85 83 92 90 88 86 85 85 94 92 90 88 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1294\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 52 50 48 46 44 42 43 43 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 61 59 57 55 53 51 49 47 46 46 73 71 69 67 65 63 61 59 57 55 53 51 49 47 70 68 66 64 62 60 58 56 54 52 50 48 62 60 58 56 54 52 50 49 49 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 51 51 74 72 70 68 66 64 62 60 58 56 54 52 59 57 55 53 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 76 74 72 70 68 66 64 62 60 58 56 74 72 70 68 66 64 62 60 58 57 57 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 69 67 65 63 61 59 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 95 93 91 89 94 92 90 95 93 92 92 97 95 93 97 95 94 94 97 97 98 98 \n",
"1340\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 49 47 45 43 41 40 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 43 43 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 65 63 61 59 57 55 53 51 49 47 45 65 63 61 59 57 55 53 51 49 47 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 75 73 71 69 67 65 63 61 59 57 55 53 52 52 56 54 53 53 65 63 61 59 57 55 54 54 56 55 55 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 59 58 58 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 90 90 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 \n",
"1334\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1335\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 86 84 82 80 78 76 74 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 89 88 88 93 91 89 90 90 91 91 98 96 94 92 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 97 97 \n",
"1274\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 43 41 39 37 35 33 31 29 27 25 23 21 19 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 28 26 24 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 45 43 41 39 37 35 33 31 29 27 43 41 39 37 35 33 31 29 28 28 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 50 48 46 44 42 40 38 36 34 59 57 55 53 51 49 47 45 43 41 39 37 35 41 39 37 36 36 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 48 46 44 42 40 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 43 43 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 45 46 46 63 61 59 57 55 53 51 49 47 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 74 72 70 68 66 64 62 60 58 56 54 52 50 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 63 61 59 57 55 53 55 54 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 75 73 71 69 67 65 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 87 85 83 81 79 77 75 73 71 70 70 94 92 90 88 86 84 82 80 78 76 74 72 71 71 88 86 84 82 80 78 76 74 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 93 91 89 87 85 83 81 79 95 93 91 89 87 85 83 81 80 80 96 94 92 90 88 86 84 82 81 81 88 86 84 82 83 88 86 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n"
]
} | 2CODEFORCES
|
1374_F. Cyclic Shifts Sorting_37892 | You are given an array a consisting of n integers.
In one move, you can choose some index i (1 ≤ i ≤ n - 2) and shift the segment [a_i, a_{i + 1}, a_{i + 2}] cyclically to the right (i.e. replace the segment [a_i, a_{i + 1}, a_{i + 2}] with [a_{i + 2}, a_i, a_{i + 1}]).
Your task is to sort the initial array by no more than n^2 such operations or say that it is impossible to do that.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (3 ≤ n ≤ 500) — the length of a. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 500), where a_i is the i-th element a.
It is guaranteed that the sum of n does not exceed 500.
Output
For each test case, print the answer: -1 on the only line if it is impossible to sort the given array using operations described in the problem statement, or the number of operations ans on the first line and ans integers idx_1, idx_2, ..., idx_{ans} (1 ≤ idx_i ≤ n - 2), where idx_i is the index of left border of the segment for the i-th operation. You should print indices in order of performing operations.
Example
Input
5
5
1 2 3 4 5
5
5 4 3 2 1
8
8 4 5 2 3 6 7 3
7
5 2 1 6 4 7 3
6
1 2 3 3 6 4
Output
0
6
3 1 3 2 2 3
13
2 1 1 6 4 2 4 3 3 4 4 6 6
-1
4
3 3 4 4 |
def swap(i):
tmp = a[i+2]
a[i+2] = a[i+1]
a[i+1] = a[i]
a[i] = tmp
ans.append(i+1)
#print (*a)
tt = int(input())
for loop in range(tt):
n = int(input())
a = list(map(int,input().split()))
sa = 0.0001
lis = [sa] * 501
b1 = []
b2 = []
f2 = True
for i in range(n):
if lis[a[i]] != sa and f2:
b1.append(a[i] + lis[a[i]])
b2.append(a[i])
f2 = False
else:
b1.append(a[i] + lis[a[i]])
b2.append(a[i] + lis[a[i]])
lis[a[i]] += sa
#print (b1)
#print (b2)
ans = []
a = b1
for last in range(n-3):
mi = last
for i in range(last,n):
if a[i] < a[mi]:
mi = i
while mi != last:
if mi - last >= 2:
swap(mi-2)
mi -= 2
else:
swap(mi)
mi += 1
while not ( a[-3] < a[-2] and a[-2] < a[-1] ):
swap(n-3)
if len(ans) > n**2:
break
if len(ans) <= n**2:
print (len(ans))
print (*ans)
continue
ans = []
a = b2
for last in range(n-3):
mi = last
for i in range(last,n):
if a[i] < a[mi]:
mi = i
while mi != last:
if mi - last >= 2:
swap(mi-2)
mi -= 2
else:
swap(mi)
mi += 1
while not ( a[-3] < a[-2] and a[-2] < a[-1] ):
swap(n-3)
if len(ans) > n**2:
break
if len(ans) <= n**2:
print (len(ans))
print (*ans)
continue
print (-1)
| 3Python3
| {
"input": [
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 782 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 459 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 196 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 613 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 58 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 7 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 459 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 67 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 3 3 4 2\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 433 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 154 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 69 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 81 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 172 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 517 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 813 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 74 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n0 2 3 3 6 4\n",
"5\n5\n1 3 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n"
],
"output": [
"0\n\n6\n3 1 3 2 2 3 \n13\n2 1 1 6 4 2 4 3 3 4 4 6 6 \n-1\n4\n3 3 4 4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1277\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1275\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 85 83 81 79 77 75 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1278\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1331\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 44 42 40 38 36 34 32 30 28 26 24 22 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 62 60 58 56 54 52 50 48 46 44 43 43 62 60 58 56 54 52 50 48 46 45 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 74 72 70 68 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 86 84 82 81 81 82 86 84 83 83 93 91 89 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1279\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"1312\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 80 78 76 74 72 70 68 66 64 62 60 59 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 98 96 98 97 97 \n",
"1284\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1295\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 86 84 82 80 81 86 84 82 92 90 88 86 84 83 83 87 85 84 84 92 90 88 86 94 92 90 88 87 87 91 89 88 88 89 92 90 98 96 94 93 93 94 94 97 96 96 98 97 97 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1327\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1337\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1317\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1301\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1305\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 \n",
"1300\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 98 96 94 96 96 98 97 97 98 \n",
"1270\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 91 91 96 94 92 97 95 93 94 94 95 95 98 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1274\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1322\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1287\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 95 93 91 89 94 92 90 91 91 95 93 92 92 97 95 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1338\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1294\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 75 73 71 69 67 65 64 64 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 88 86 84 82 80 78 76 74 72 71 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 77 77 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1307\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 88 86 84 85 85 92 90 88 86 95 93 91 89 87 89 88 88 92 90 89 89 90 90 91 91 98 96 94 92 94 98 96 95 95 98 96 98 97 97 98 97 96 95 94 93 92 91 \n",
"1302\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 89 93 91 90 90 98 96 94 93 93 94 94 96 96 98 97 97 98 \n",
"1276\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 62 60 58 56 54 52 50 48 46 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 68 66 64 62 60 58 56 54 52 50 48 47 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 72 70 68 66 64 62 60 58 56 54 52 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 73 71 69 67 65 63 61 59 57 55 54 54 71 69 67 65 63 61 59 57 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 71 71 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 87 87 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 96 94 92 97 95 93 96 96 97 97 98 98 97 96 95 94 93 92 91 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 97 96 96 97 97 98 98 98 97 96 95 94 93 92 \n",
"1267\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 24 22 20 18 16 14 13 13 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 16 15 15 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 41 39 37 35 33 31 29 27 25 23 21 20 20 21 21 45 43 41 39 37 35 33 31 29 27 25 23 22 22 49 47 45 43 41 39 37 35 33 31 29 27 25 23 44 42 40 38 36 34 32 30 28 26 24 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 48 46 44 42 40 38 36 34 32 30 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 39 37 35 33 32 32 37 35 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n-1\n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 95 98 97 97 98 98 97 96 95 94 93 92 \n",
"1285\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"3\n3 2 2 \n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 96 94 92 90 88 86 84 82 80 78 86 84 82 80 79 79 80 86 84 82 81 81 92 90 88 86 84 82 87 85 83 92 90 88 86 85 85 94 92 90 88 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1294\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 52 50 48 46 44 42 43 43 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 61 59 57 55 53 51 49 47 46 46 73 71 69 67 65 63 61 59 57 55 53 51 49 47 70 68 66 64 62 60 58 56 54 52 50 48 62 60 58 56 54 52 50 49 49 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 51 51 74 72 70 68 66 64 62 60 58 56 54 52 59 57 55 53 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 76 74 72 70 68 66 64 62 60 58 56 74 72 70 68 66 64 62 60 58 57 57 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 69 67 65 63 61 59 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 95 93 91 89 94 92 90 95 93 92 92 97 95 93 97 95 94 94 97 97 98 98 \n",
"1340\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 49 47 45 43 41 40 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 43 43 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 65 63 61 59 57 55 53 51 49 47 45 65 63 61 59 57 55 53 51 49 47 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 75 73 71 69 67 65 63 61 59 57 55 53 52 52 56 54 53 53 65 63 61 59 57 55 54 54 56 55 55 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 59 58 58 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 90 90 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 \n",
"1334\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1335\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 86 84 82 80 78 76 74 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 89 88 88 93 91 89 90 90 91 91 98 96 94 92 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 97 97 \n",
"1274\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 43 41 39 37 35 33 31 29 27 25 23 21 19 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 28 26 24 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 45 43 41 39 37 35 33 31 29 27 43 41 39 37 35 33 31 29 28 28 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 50 48 46 44 42 40 38 36 34 59 57 55 53 51 49 47 45 43 41 39 37 35 41 39 37 36 36 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 48 46 44 42 40 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 43 43 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 45 46 46 63 61 59 57 55 53 51 49 47 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 74 72 70 68 66 64 62 60 58 56 54 52 50 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 63 61 59 57 55 53 55 54 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 75 73 71 69 67 65 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 87 85 83 81 79 77 75 73 71 70 70 94 92 90 88 86 84 82 80 78 76 74 72 71 71 88 86 84 82 80 78 76 74 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 93 91 89 87 85 83 81 79 95 93 91 89 87 85 83 81 80 80 96 94 92 90 88 86 84 82 81 81 88 86 84 82 83 88 86 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n"
]
} | 2CODEFORCES
|
1374_F. Cyclic Shifts Sorting_37893 | You are given an array a consisting of n integers.
In one move, you can choose some index i (1 ≤ i ≤ n - 2) and shift the segment [a_i, a_{i + 1}, a_{i + 2}] cyclically to the right (i.e. replace the segment [a_i, a_{i + 1}, a_{i + 2}] with [a_{i + 2}, a_i, a_{i + 1}]).
Your task is to sort the initial array by no more than n^2 such operations or say that it is impossible to do that.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (3 ≤ n ≤ 500) — the length of a. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 500), where a_i is the i-th element a.
It is guaranteed that the sum of n does not exceed 500.
Output
For each test case, print the answer: -1 on the only line if it is impossible to sort the given array using operations described in the problem statement, or the number of operations ans on the first line and ans integers idx_1, idx_2, ..., idx_{ans} (1 ≤ idx_i ≤ n - 2), where idx_i is the index of left border of the segment for the i-th operation. You should print indices in order of performing operations.
Example
Input
5
5
1 2 3 4 5
5
5 4 3 2 1
8
8 4 5 2 3 6 7 3
7
5 2 1 6 4 7 3
6
1 2 3 3 6 4
Output
0
6
3 1 3 2 2 3
13
2 1 1 6 4 2 4 3 3 4 4 6 6
-1
4
3 3 4 4 | import java.io.*;
import java.math.BigInteger;
import java.util.*;
public class Main {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
PrintWriter pw = new PrintWriter(System.out);
static int MOD = 1000000007;
public static void main(String[] args) throws IOException {
Main m = new Main();
m.solve();
m.close();
}
void close() throws IOException {
pw.flush();
pw.close();
br.close();
}
int ri() throws IOException {
return Integer.parseInt(br.readLine());
}
long rl() throws IOException {
return Long.parseLong(br.readLine());
}
int[] ril(int n) throws IOException {
int[] nums = new int[n];
int c = 0;
for (int i = 0; i < n; i++) {
int sign = 1;
c = br.read();
int x = 0;
if (c == '-') {
sign = -1;
c = br.read();
}
while (c >= '0' && c <= '9') {
x = x * 10 + c - '0';
c = br.read();
}
nums[i] = x * sign;
}
while (c != '\n' && c != -1) c = br.read();
return nums;
}
long[] rll(int n) throws IOException {
long[] nums = new long[n];
int c = 0;
for (int i = 0; i < n; i++) {
int sign = 1;
c = br.read();
long x = 0;
if (c == '-') {
sign = -1;
c = br.read();
}
while (c >= '0' && c <= '9') {
x = x * 10 + c - '0';
c = br.read();
}
nums[i] = x * sign;
}
while (c != '\n' && c != -1) c = br.read();
return nums;
}
void solve() throws IOException {
int t = ri();
for (int ti = 0; ti < t; ti++) {
int n = ri();
int[] a = ril(n);
int[] orig = new int[n];
System.arraycopy(a, 0, orig, 0, n);
List<Integer> insn = new ArrayList<>();
for (int i = 0; i < a.length - 2; i++) {
int min = a[i];
int idxMin = i;
for (int j = i+1; j < a.length; j++) {
if (a[j] < min) {
min = a[j];
idxMin = j;
}
}
while (idxMin != i) {
if (idxMin - 2 >= i) {
insn.add(idxMin-2);
a[idxMin] = a[idxMin-1];
a[idxMin-1] = a[idxMin-2];
a[idxMin-2] = min;
idxMin -= 2;
} else {
insn.add(idxMin-1);
insn.add(idxMin-1);
a[idxMin] = a[idxMin+1];
a[idxMin+1] = a[idxMin-1];
a[idxMin-1] = min;
idxMin -= 1;
}
}
}
if (a[n-2] <= a[n-1]) {
pw.println(insn.size());
for (int i : insn) pw.print((i+1) + " ");
pw.println();
continue;
}
// Try again, but flip last instance of X X Y Z
insn = new ArrayList<>();
a = orig;
int maxduped = -1;
int count = 0;
Map<Integer, Integer> freq = new HashMap<>();
for (int ai : a) {
freq.put(ai, freq.getOrDefault(ai, 0) + 1);
}
for (int i : freq.keySet()) {
if (freq.get(i) > 1 && i > maxduped) {
maxduped = i;
count = freq.get(i);
}
}
if (maxduped == -1) {
pw.println("-1");
continue;
}
int z = 0;
for (int i = 0; i < a.length - 2; i++) {
int min = a[i];
int idxMin = i;
for (int j = i+1; j < a.length; j++) {
if (a[j] < min) {
min = a[j];
idxMin = j;
}
}
while (idxMin != i) {
if (idxMin - 2 >= i) {
insn.add(idxMin-2);
a[idxMin] = a[idxMin-1];
a[idxMin-1] = a[idxMin-2];
a[idxMin-2] = min;
idxMin -= 2;
} else {
insn.add(idxMin-1);
insn.add(idxMin-1);
a[idxMin] = a[idxMin+1];
a[idxMin+1] = a[idxMin-1];
a[idxMin-1] = min;
idxMin -= 1;
}
}
if (min == maxduped) z++;
if (min == maxduped && z == count) {
int x = i-1;
insn.add(x+1);
insn.add(x);
int temp = a[x+2];
a[x+2] = a[x+3];
a[x+3] = temp;
}
}
if (a[n-2] <= a[n-1]) {
pw.println(insn.size());
for (int i : insn) pw.print((i+1) + " ");
pw.println();
} else {
// yolo flip around the last 3
int temp = a[n-1];
a[n-1] = a[n-2];
a[n-2] = a[n-3];
a[n-3] = temp;
insn.add(n-3);
if (a[n-3] <= a[n-2] && a[n-2] <= a[n-1]) {
pw.println(insn.size());
for (int i : insn) pw.print((i+1) + " ");
pw.println();
continue;
}
temp = a[n-1];
a[n-1] = a[n-2];
a[n-2] = a[n-3];
a[n-3] = temp;
insn.add(n-3);
if (a[0] <= a[n-2] && a[n-2] <= a[n-1]) {
pw.println(insn.size());
for (int i : insn) pw.print((i+1) + " ");
pw.println();
continue;
}
pw.println("-1");
}
}
}
} | 4JAVA
| {
"input": [
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 3 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 309 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 825 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 782 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 188 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 95 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 92 143 171 459 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 411 33 87 202 365 39 392 78 95 196 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 695 457 300 102 162 392 141 172 459 271 100 372 31 392 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"1\n100\n86 36 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 481 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 160 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 613 294 451\n",
"1\n100\n87 164 459 72 144 181 364 440 130 474 428 116 355 58 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 141 78 95 284 428 277 393 18 499 6 204 36 0 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 1 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 1 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 7 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 311 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 459 345 86 335 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 463 111 88 300 281 109 214 305 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 67 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 200 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 3 3 4 2\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 55 473 24 143 171 439 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 433 470 83 316 317 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 47 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 91 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 459 433 333 1 192 494 187 108 154 277 66\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 157 12 281 47 224 158 31 116 139 462 322 101 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 317 246 408 124 214 279 231 1 69 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 186 333 368 600 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 143 171 237 445 12 281 47 224 158 31 116 139 462 322 81 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 172 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 517 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 14 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 10 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 31 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 813 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 21 423 173 284 416 451 622 114 258 150 113 239 441 454 74 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 407 408 124 214 279 301 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 22 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 26 409 212 63 205 287 68 70 152 349 345 86 335 473 24 42 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 615 32 118 429 370 470 120 316 265 246 408 124 214 279 231 1 259 111 88 300 281 109 214 466 294 451\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 4 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n1 2 4 5 6 4\n",
"1\n100\n93 164 459 72 144 181 364 440 130 474 428 116 355 134 420 482 260 367 40 301 179 383 492 283 52 112 486 81 96 25 210 445 33 87 202 365 39 392 78 95 284 428 277 393 18 499 6 204 36 272 300 115 252 290 34 79 176 153 203 104 436 457 300 102 162 392 141 172 459 271 100 372 31 240 98 453 360 239 408 80 471 348 263 312 322 339 368 298 73 445 433 333 2 192 494 187 108 323 277 66\n",
"5\n5\n1 2 3 4 5\n5\n5 4 3 2 1\n8\n8 2 5 2 3 6 7 3\n7\n5 2 1 6 4 7 3\n6\n0 2 3 3 6 4\n",
"5\n5\n1 3 3 4 5\n5\n5 4 3 2 1\n8\n10 4 5 2 3 6 7 3\n7\n6 2 1 6 4 7 3\n6\n1 2 3 5 6 4\n",
"1\n100\n86 366 161 194 28 209 450 355 100 241 153 5 249 238 333 368 423 173 284 416 451 622 114 258 150 113 239 441 454 422 418 20 409 212 63 205 287 68 70 152 349 345 86 335 473 24 47 171 237 445 12 281 47 224 158 31 116 139 462 322 58 28 307 423 173 178 294 419 284 202 248 85 7 18 492 32 118 429 370 470 120 316 265 246 408 124 214 120 231 1 259 111 88 300 281 109 214 466 294 451\n"
],
"output": [
"0\n\n6\n3 1 3 2 2 3 \n13\n2 1 1 6 4 2 4 3 3 4 4 6 6 \n-1\n4\n3 3 4 4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1277\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 62 60 58 56 54 52 50 48 46 44 42 43 43 62 60 58 56 54 52 50 48 46 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 52 50 49 49 61 59 57 55 53 51 50 50 52 51 51 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 55 54 54 63 61 59 57 55 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 79 77 75 73 71 69 67 65 63 61 59 58 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 87 85 83 81 79 77 75 73 71 69 67 65 63 61 74 72 70 68 66 64 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 87 85 83 81 79 77 75 73 71 69 67 66 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1275\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 85 83 81 79 77 75 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1278\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1331\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 44 42 40 38 36 34 32 30 28 26 24 22 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 62 60 58 56 54 52 50 48 46 44 43 43 62 60 58 56 54 52 50 48 46 45 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 79 77 75 73 71 69 67 65 63 61 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 74 72 70 68 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 86 84 82 81 81 82 86 84 83 83 93 91 89 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1279\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 92 90 88 87 87 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"1312\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 42 40 38 36 34 32 30 28 26 24 23 23 40 38 36 34 32 30 28 26 24 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 48 46 44 42 40 38 36 34 32 31 31 58 56 54 52 50 48 46 44 42 40 38 36 34 32 38 36 34 33 33 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 80 78 76 74 72 70 68 66 64 62 60 59 59 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 65 63 61 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 75 73 71 69 67 65 63 86 84 82 80 78 76 74 72 70 68 66 64 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 98 96 98 97 97 \n",
"1284\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"1295\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 73 71 69 67 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 72 71 71 84 82 80 78 76 74 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 75 76 76 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 86 84 82 80 81 86 84 82 92 90 88 86 84 83 83 87 85 84 84 92 90 88 86 94 92 90 88 87 87 91 89 88 88 89 92 90 98 96 94 93 93 94 94 97 96 96 98 97 97 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1327\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1337\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1321\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1317\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1301\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 76 74 72 70 68 66 65 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1305\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 \n",
"1300\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 98 96 94 96 96 98 97 97 98 \n",
"1270\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 72 70 68 66 64 62 60 58 56 54 52 50 49 49 56 54 52 50 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 73 71 69 67 65 63 61 59 57 55 53 71 69 67 65 63 61 59 57 55 54 54 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 66 64 62 60 58 56 71 69 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 91 91 96 94 92 97 95 93 94 94 95 95 98 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 98 96 98 97 97 98 98 98 97 96 95 94 93 92 \n",
"1274\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 41 39 37 35 33 31 29 27 25 23 21 19 45 43 41 39 37 35 33 31 29 27 25 23 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 87 85 83 81 82 87 85 83 93 91 89 87 85 84 84 88 86 85 85 86 86 93 91 89 87 95 93 91 89 88 88 92 90 89 89 90 93 91 92 92 93 93 98 96 94 95 95 98 97 97 98 98 97 96 95 94 93 \n",
"1289\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 92 92 96 94 93 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1322\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1287\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 51 49 47 45 43 41 42 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 73 71 69 67 65 63 61 59 57 55 53 51 58 56 54 52 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 91 89 88 88 95 93 91 89 94 92 90 91 91 95 93 92 92 97 95 93 97 95 94 94 95 95 96 96 98 97 96 95 94 93 92 \n",
"1320\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 17 17 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 24 22 20 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1338\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 42 42 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 91 91 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1332\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 81 79 77 75 73 71 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1324\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1294\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 62 60 58 56 54 52 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 63 61 59 57 56 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 59 59 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 86 84 82 80 78 76 74 72 70 68 66 64 63 63 75 73 71 69 67 65 64 64 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 88 86 84 82 80 78 76 74 72 71 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 76 77 77 93 91 89 87 85 83 81 79 78 78 95 93 91 89 87 85 83 81 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1307\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 88 86 84 85 85 92 90 88 86 95 93 91 89 87 89 88 88 92 90 89 89 90 90 91 91 98 96 94 92 94 98 96 95 95 98 96 98 97 97 98 97 96 95 94 93 92 91 \n",
"1302\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 87 85 83 82 82 83 87 85 84 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 89 93 91 90 90 98 96 94 93 93 94 94 96 96 98 97 97 98 \n",
"1276\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 62 60 58 56 54 52 50 48 46 44 60 58 56 54 52 50 48 46 45 45 72 70 68 66 64 62 60 58 56 54 52 50 48 46 68 66 64 62 60 58 56 54 52 50 48 47 47 61 59 57 55 53 51 49 48 48 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 72 70 68 66 64 62 60 58 56 54 52 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 73 71 69 67 65 63 61 59 57 55 54 54 71 69 67 65 63 61 59 57 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 76 74 72 70 68 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 69 67 65 63 62 62 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 72 70 69 69 92 90 88 86 84 82 80 78 76 74 72 70 71 71 81 79 77 75 73 72 72 77 75 73 95 93 91 89 87 85 83 81 79 77 75 74 74 91 89 87 85 83 81 79 77 75 80 78 76 84 82 80 78 77 77 90 88 86 84 82 80 78 92 90 88 86 84 82 80 79 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 88 86 84 82 85 83 85 84 84 89 87 85 97 95 93 91 89 87 86 86 87 87 97 95 93 91 89 88 88 96 94 92 90 89 89 95 93 91 90 90 96 94 92 97 95 93 96 96 97 97 98 98 97 96 95 94 93 92 91 \n",
"1288\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 9 7 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 9 9 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 24 22 21 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 42 40 38 36 34 32 30 28 26 24 40 38 36 34 32 30 28 26 25 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 48 46 44 42 40 38 36 34 32 58 56 54 52 50 48 46 44 42 40 38 36 34 33 33 38 36 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 45 45 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 53 51 62 60 58 56 54 52 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 65 63 62 62 87 85 83 81 79 77 75 73 71 69 67 65 63 75 73 71 69 67 65 64 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 72 84 82 80 78 76 74 73 73 84 82 80 78 76 74 84 82 80 78 76 75 75 76 76 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 85 85 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 91 91 92 92 98 96 94 93 93 95 97 96 96 97 97 98 98 98 97 96 95 94 93 92 \n",
"1267\n48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 2 2 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 27 25 23 21 19 17 15 13 11 33 31 29 27 25 23 21 19 17 15 13 12 12 24 22 20 18 16 14 13 13 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 16 15 15 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 41 39 37 35 33 31 29 27 25 23 21 20 20 21 21 45 43 41 39 37 35 33 31 29 27 25 23 22 22 49 47 45 43 41 39 37 35 33 31 29 27 25 23 44 42 40 38 36 34 32 30 28 26 24 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 48 46 44 42 40 38 36 34 32 30 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 39 37 35 33 32 32 37 35 33 55 53 51 49 47 45 43 41 39 37 35 34 34 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 52 50 48 46 44 42 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 61 59 57 55 53 51 49 47 46 46 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 69 67 65 63 61 59 57 55 53 51 49 48 48 62 60 58 56 54 52 50 49 49 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 73 71 69 67 65 63 61 59 57 55 53 52 52 59 57 55 53 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 54 54 81 79 77 75 73 71 69 67 65 63 61 59 57 55 72 70 68 66 64 62 60 58 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 72 70 68 66 64 62 60 59 59 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 78 76 74 72 70 68 66 64 62 81 79 77 75 73 71 69 67 65 63 71 69 67 65 64 64 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 94 92 90 88 86 84 82 80 78 76 74 72 70 74 72 71 71 92 90 88 86 84 82 80 78 76 74 72 83 81 79 77 75 74 74 79 77 75 95 93 91 89 87 85 83 81 79 77 76 76 92 90 88 86 84 82 80 78 77 77 82 80 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n9\n1 1 3 2 2 3 3 2 1 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n-1\n",
"1315\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 78 76 74 72 70 68 66 64 62 60 58 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 64 62 60 86 84 82 80 78 76 74 72 70 68 66 64 62 61 61 74 72 70 68 66 64 62 85 83 81 79 77 75 73 71 69 67 65 63 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 64 64 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 86 84 82 80 81 86 84 82 93 91 89 87 85 83 87 85 84 84 93 91 89 87 86 86 95 93 91 89 87 92 90 88 89 93 91 90 90 98 96 94 93 93 94 94 95 95 98 97 97 98 98 97 96 95 94 93 92 \n",
"1285\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 36 34 32 30 28 26 24 22 20 18 16 14 13 13 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 18 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 41 41 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 60 58 56 54 52 50 48 46 45 45 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 69 67 65 63 61 59 57 55 53 51 49 47 61 59 57 55 53 51 49 48 48 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 58 56 54 52 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 75 73 71 69 67 65 63 61 59 57 55 73 71 69 67 65 63 61 59 57 56 56 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 57 57 68 66 64 62 60 58 73 71 69 67 65 63 61 59 78 76 74 72 70 68 66 64 62 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 79 77 75 73 71 69 67 65 63 62 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"3\n3 2 2 \n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 20 20 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 45 43 41 39 37 35 33 31 29 27 26 26 43 41 39 37 35 33 31 29 27 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 37 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 48 46 44 42 40 39 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 79 77 75 73 71 69 67 65 63 61 60 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 87 85 83 81 79 77 75 73 71 69 67 65 63 76 74 72 70 68 66 64 86 84 82 80 78 76 74 72 70 68 66 65 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 87 85 83 81 79 77 75 73 71 69 68 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 85 83 81 79 77 75 73 85 83 81 79 77 75 74 74 75 77 77 96 94 92 90 88 86 84 82 80 78 86 84 82 80 79 79 80 86 84 82 81 81 92 90 88 86 84 82 87 85 83 92 90 88 86 85 85 94 92 90 88 86 95 93 91 89 87 92 90 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1294\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 25 23 21 19 17 15 13 11 9 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 21 21 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 44 42 40 38 36 34 32 30 28 26 24 23 23 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 48 46 44 42 40 38 36 34 32 30 29 29 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 38 36 34 32 31 31 36 34 32 40 38 36 34 33 33 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 52 50 48 46 44 42 43 43 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 61 59 57 55 53 51 49 47 46 46 73 71 69 67 65 63 61 59 57 55 53 51 49 47 70 68 66 64 62 60 58 56 54 52 50 48 62 60 58 56 54 52 50 49 49 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 51 51 74 72 70 68 66 64 62 60 58 56 54 52 59 57 55 53 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 76 74 72 70 68 66 64 62 60 58 56 74 72 70 68 66 64 62 60 58 57 57 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 69 67 65 63 61 59 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 82 80 78 76 74 72 70 68 66 64 63 63 71 69 67 65 64 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 95 93 91 89 94 92 90 95 93 92 92 97 95 93 97 95 94 94 97 97 98 98 \n",
"1340\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 18 18 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 37 37 38 38 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 49 47 45 43 41 40 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 43 43 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 65 63 61 59 57 55 53 51 49 47 45 65 63 61 59 57 55 53 51 49 47 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 75 73 71 69 67 65 63 61 59 57 55 53 51 50 50 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 75 73 71 69 67 65 63 61 59 57 55 53 52 52 56 54 53 53 65 63 61 59 57 55 54 54 56 55 55 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 59 58 58 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 79 77 75 73 71 69 67 65 63 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 87 85 83 81 79 77 75 73 71 69 67 65 64 64 77 75 73 71 69 67 65 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 87 85 83 81 79 77 75 73 71 69 94 92 90 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 87 85 83 81 79 77 75 74 74 87 85 83 81 79 77 75 87 85 83 81 79 77 76 76 77 79 79 94 92 90 88 86 84 82 80 96 94 92 90 88 86 84 82 81 81 89 87 85 83 82 82 83 89 87 85 84 84 93 91 89 87 85 90 88 86 87 87 93 91 89 88 88 95 93 91 89 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1323\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 25 23 21 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 43 41 39 37 35 33 31 29 27 25 24 24 41 39 37 35 33 31 29 27 25 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 26 26 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 46 44 42 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 86 86 95 93 91 89 87 90 88 93 91 89 90 90 98 96 94 92 93 95 94 94 98 96 95 95 98 96 97 98 \n",
"1334\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n",
"1335\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 73 71 69 67 65 63 61 59 57 55 53 51 49 53 51 50 50 62 60 58 56 54 52 51 51 53 52 52 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 53 53 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 56 55 55 64 62 60 58 56 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 80 78 76 74 72 70 68 66 64 62 60 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 66 64 62 88 86 84 82 80 78 76 74 72 70 68 66 64 63 63 77 75 73 71 69 67 65 64 64 87 85 83 81 79 77 75 73 71 69 67 65 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 66 66 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 67 67 88 86 84 82 80 78 76 74 72 70 68 95 93 91 89 87 85 83 81 79 77 75 73 71 69 89 87 85 83 81 79 77 75 73 71 70 70 72 71 71 86 84 82 80 78 76 74 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 75 77 77 94 92 90 88 86 84 82 80 78 96 94 92 90 88 86 84 82 80 79 79 87 85 83 81 80 80 81 87 85 83 82 82 93 91 89 87 85 83 88 86 84 85 85 93 91 89 87 86 86 95 93 91 89 87 89 88 88 93 91 89 90 90 91 91 98 96 94 92 95 94 94 98 96 95 95 98 96 97 98 98 97 96 95 94 93 92 91 \n",
"1316\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 23 21 19 17 15 13 11 9 7 5 4 4 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 41 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 44 44 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 97 97 \n",
"1274\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 43 41 39 37 35 33 31 29 27 25 23 21 19 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 28 26 24 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 45 43 41 39 37 35 33 31 29 27 43 41 39 37 35 33 31 29 28 28 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 50 48 46 44 42 40 38 36 34 59 57 55 53 51 49 47 45 43 41 39 37 35 41 39 37 36 36 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 65 63 61 59 57 55 53 51 49 47 45 43 41 39 48 46 44 42 40 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 43 43 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 45 46 46 63 61 59 57 55 53 51 49 47 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 74 72 70 68 66 64 62 60 58 56 54 52 50 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 63 61 59 57 55 53 55 54 54 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 64 62 60 58 57 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 66 64 63 63 86 84 82 80 78 76 74 72 70 68 66 64 75 73 71 69 67 65 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 87 85 83 81 79 77 75 73 71 70 70 94 92 90 88 86 84 82 80 78 76 74 72 71 71 88 86 84 82 80 78 76 74 72 74 73 73 85 83 81 79 77 75 74 74 85 83 81 79 77 75 85 83 81 79 77 76 76 77 78 78 93 91 89 87 85 83 81 79 95 93 91 89 87 85 83 81 80 80 96 94 92 90 88 86 84 82 81 81 88 86 84 82 83 88 86 84 93 91 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1318\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 19 19 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 49 47 45 43 41 39 37 35 33 32 32 59 57 55 53 51 49 47 45 43 41 39 37 35 33 39 37 35 34 34 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 47 45 43 41 39 38 38 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 42 42 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 46 46 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 74 72 70 68 66 64 62 60 58 56 54 52 50 48 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 54 52 51 51 63 61 59 57 55 53 52 52 54 53 53 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 57 56 56 65 63 61 59 57 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 58 58 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"1306\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 35 33 31 29 27 25 23 21 19 17 15 13 11 9 8 8 11 9 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 10 10 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 11 11 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 12 12 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 13 13 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 22 22 27 25 23 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 25 25 44 42 40 38 36 34 32 30 28 26 42 40 38 36 34 32 30 28 27 27 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 30 30 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 31 31 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 32 32 49 47 45 43 41 39 37 35 33 59 57 55 53 51 49 47 45 43 41 39 37 35 34 34 40 38 36 35 35 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 36 36 65 63 61 59 57 55 53 51 49 47 45 43 41 39 38 38 47 45 43 41 39 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 63 61 59 57 55 53 51 49 47 45 44 44 63 61 59 57 55 53 51 49 47 46 46 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 74 72 70 68 66 64 62 60 58 56 54 52 50 49 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 73 71 69 67 65 63 61 59 57 55 53 51 55 53 52 52 63 61 59 57 55 53 55 54 54 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 55 55 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 58 57 57 65 63 61 59 58 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 80 78 76 74 72 70 68 66 64 62 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 67 65 64 64 88 86 84 82 80 78 76 74 72 70 68 66 65 65 77 75 73 71 69 67 66 66 87 85 83 81 79 77 75 73 71 69 67 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 68 68 96 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 88 86 84 82 80 78 76 74 72 70 95 93 91 89 87 85 83 81 79 77 75 73 71 89 87 85 83 81 79 77 75 73 72 72 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 86 84 82 80 78 76 77 78 78 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 91 91 92 92 98 96 94 93 93 94 94 95 98 96 98 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n-1\n1\n4 \n",
"1274\n91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 1 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 3 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 5 5 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 6 6 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 26 24 22 20 18 16 14 12 10 32 30 28 26 24 22 20 18 16 14 12 11 11 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 14 13 13 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 14 14 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 40 38 36 34 32 30 28 26 24 22 20 18 44 42 40 38 36 34 32 30 28 26 24 22 20 19 19 20 20 48 46 44 42 40 38 36 34 32 30 28 26 24 22 21 21 43 41 39 37 35 33 31 29 27 25 23 22 22 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 24 24 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 27 27 47 45 43 41 39 37 35 33 31 29 28 28 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 29 29 37 35 33 31 30 30 35 33 31 39 37 35 33 32 32 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 34 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 50 48 46 44 42 40 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 59 57 55 53 51 49 47 45 44 44 72 70 68 66 64 62 60 58 56 54 52 50 48 46 45 45 68 66 64 62 60 58 56 54 52 50 48 46 60 58 56 54 52 50 48 47 47 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 73 71 69 67 65 63 61 59 57 55 53 51 50 50 57 55 53 51 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 52 52 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 74 72 70 68 66 64 62 60 58 56 54 72 70 68 66 64 62 60 58 56 55 55 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 67 65 63 61 59 57 72 70 68 66 64 62 60 58 77 75 73 71 69 67 65 63 61 59 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 60 60 78 76 74 72 70 68 66 64 62 61 61 81 79 77 75 73 71 69 67 65 63 62 62 70 68 66 64 63 63 90 88 86 84 82 80 78 76 74 72 70 68 66 64 91 89 87 85 83 81 79 77 75 73 71 69 67 65 98 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 94 92 90 88 86 84 82 80 78 76 74 72 70 68 94 92 90 88 86 84 82 80 78 76 74 72 70 69 69 73 71 70 70 92 90 88 86 84 82 80 78 76 74 72 71 71 72 72 82 80 78 76 74 73 73 78 76 74 95 93 91 89 87 85 83 81 79 77 75 92 90 88 86 84 82 80 78 76 81 79 77 85 83 81 79 78 78 91 89 87 85 83 81 79 88 86 84 82 80 94 92 90 88 86 84 82 81 81 84 82 84 83 83 89 87 85 84 84 97 95 93 91 89 87 85 92 90 88 86 87 87 91 89 88 88 97 95 93 91 89 96 94 92 90 95 93 91 96 94 93 93 97 95 94 94 97 97 98 98 \n",
"0\n\n6\n3 1 3 2 2 3 \n8\n1 1 2 3 6 4 6 6 \n-1\n2\n4 3 \n",
"0\n\n6\n3 1 3 2 2 3 \n17\n2 1 1 3 2 2 6 4 3 3 5 5 6 5 4 3 2 \n6\n1 2 2 5 3 4 \n1\n4 \n",
"1333\n88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 1 1 11 9 7 5 3 2 2 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 3 3 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 4 4 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 7 5 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 7 7 10 8 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 9 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 11 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 15 13 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 15 15 47 45 43 41 39 37 35 33 31 29 27 25 23 21 19 17 16 16 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 17 17 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 20 20 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 25 23 21 26 24 22 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 23 23 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 28 26 24 44 42 40 38 36 34 32 30 28 26 25 25 42 40 38 36 34 32 30 28 26 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 27 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 28 28 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 29 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 30 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 39 37 35 33 31 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 34 32 50 48 46 44 42 40 38 36 34 33 33 60 58 56 54 52 50 48 46 44 42 40 38 36 34 40 38 36 35 35 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 36 37 37 66 64 62 60 58 56 54 52 50 48 46 44 42 40 38 48 46 44 42 40 39 39 75 73 71 69 67 65 63 61 59 57 55 53 51 49 47 45 43 41 40 40 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 42 41 41 42 42 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 46 44 43 43 64 62 60 58 56 54 52 50 48 46 44 45 45 64 62 60 58 56 54 52 50 48 46 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 48 47 47 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 53 51 49 48 48 75 73 71 69 67 65 63 61 59 57 55 53 51 49 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 58 56 54 52 50 74 72 70 68 66 64 62 60 58 56 54 52 51 51 55 53 52 52 64 62 60 58 56 54 53 53 55 54 54 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 55 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 56 58 57 57 66 64 62 60 58 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 62 60 80 78 76 74 72 70 68 66 64 62 61 61 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 62 62 67 65 63 88 86 84 82 80 78 76 74 72 70 68 66 64 77 75 73 71 69 67 65 87 85 83 81 79 77 75 73 71 69 67 66 66 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 88 86 84 82 80 78 76 74 72 70 69 69 95 93 91 89 87 85 83 81 79 77 75 73 71 70 70 89 87 85 83 81 79 77 75 73 71 73 72 72 86 84 82 80 78 76 74 73 73 86 84 82 80 78 76 74 86 84 82 80 78 76 75 75 76 77 77 94 92 90 88 86 84 82 80 79 79 96 94 92 90 88 86 84 82 80 88 86 84 82 81 81 82 88 86 84 83 83 93 91 89 87 85 84 84 89 87 85 86 86 93 91 89 87 95 93 91 89 88 88 90 89 89 93 91 90 90 98 96 94 93 93 95 98 96 98 97 97 98 97 96 95 94 93 92 \n"
]
} | 2CODEFORCES
|
1398_C. Good Subarrays_37894 | You are given an array a_1, a_2, ... , a_n consisting of integers from 0 to 9. A subarray a_l, a_{l+1}, a_{l+2}, ... , a_{r-1}, a_r is good if the sum of elements of this subarray is equal to the length of this subarray (∑_{i=l}^{r} a_i = r - l + 1).
For example, if a = [1, 2, 0], then there are 3 good subarrays: a_{1 ... 1} = [1], a_{2 ... 3} = [2, 0] and a_{1 ... 3} = [1, 2, 0].
Calculate the number of good subarrays of the array a.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 10^5) — the length of the array a.
The second line of each test case contains a string consisting of n decimal digits, where the i-th digit is equal to the value of a_i.
It is guaranteed that the sum of n over all test cases does not exceed 10^5.
Output
For each test case print one integer — the number of good subarrays of the array a.
Example
Input
3
3
120
5
11011
6
600005
Output
3
6
1
Note
The first test case is considered in the statement.
In the second test case, there are 6 good subarrays: a_{1 ... 1}, a_{2 ... 2}, a_{1 ... 2}, a_{4 ... 4}, a_{5 ... 5} and a_{4 ... 5}.
In the third test case there is only one good subarray: a_{2 ... 6}. |
from __future__ import division
import sys
input = sys.stdin.readline
import math
from math import sqrt, floor, ceil
from collections import Counter, defaultdict
from copy import deepcopy as dc
# from statistics import median, mean
############ ---- Input Functions ---- ############
def inp():
return(int(input()))
def inlt():
return(list(map(int,input().split())))
def insr():
s = input()
return(list(s[:len(s) - 1]))
def invr():
return(map(int,input().split()))
def insr2():
s = input()
return(s.split(" "))
# a = raw_input()
for _ in range(inp()):
n = inp()
s = insr()
s = [int(a) for a in s]
c = 0
d = defaultdict(int)
pre = [0]*(n)
ans = 0
d[0] = 1
for i in range(n):
pre[i] = pre[i-1]+s[i]
ans += d[pre[i]-i-1]
d[pre[i]-i-1] += 1
# print pre
# ca = Counter(pre)
print ans
# print ca
# for i in ca.keys():
# x = ca[i]
# ans += (x*(x-1))//2
# print ans
# for _ in range(inp()):
# n = inp()
# s = insr()
# s = [int(a) for a in s]
# c = 0
# dp = [[0] for i in range(n)]
# dp[0] = [(1, s[0])]
# if s[0] == 1:
# c += 1
# # print dp
# for i in range(1, n):
# dp[i][0] = (1, s[i])
# if s[i] == 1:
# c += 1
# for j in range(1, i+1):
# dp[i].append((j+1, dp[i-1][j-1][1] + s[i]))
# if j+1 == (dp[i-1][j-1][1] + s[i]):
# c += 1
# # print dp
# print c
"""
1
6
120102
""" | 1Python2
| {
"input": [
"3\n3\n120\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n600005\n",
"3\n3\n363\n5\n11011\n6\n600005\n",
"3\n3\n120\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n116164\n",
"3\n3\n249\n5\n11001\n6\n600005\n",
"3\n3\n557\n5\n11011\n6\n410206\n",
"3\n3\n158\n5\n11001\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n217\n5\n11011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n158\n5\n11001\n6\n874324\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n1\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n438493\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n14648390800795718472533868\n",
"3\n3\n217\n5\n01011\n6\n122514\n",
"3\n3\n158\n5\n11011\n6\n874324\n",
"3\n3\n363\n5\n11011\n6\n303028\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n191\n5\n01011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n00011\n6\n469172\n",
"3\n3\n101\n5\n01011\n6\n209652\n",
"3\n3\n001\n5\n01010\n6\n209652\n",
"3\n3\n120\n5\n11111\n6\n600005\n",
"3\n3\n363\n5\n11111\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n21205868842462199437692999\n",
"3\n3\n363\n5\n11010\n6\n525191\n",
"3\n3\n368\n5\n00011\n6\n469172\n",
"3\n3\n363\n5\n11010\n6\n744232\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n120\n5\n11011\n6\n911191\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n577\n5\n11011\n6\n600005\n",
"3\n3\n249\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n557\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11010\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n600005\n",
"3\n3\n985\n5\n11011\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n422591\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n6\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n600005\n",
"3\n3\n390\n5\n11001\n6\n600005\n",
"3\n3\n158\n5\n11001\n6\n779774\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n985\n5\n01011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n2\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n10011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n673614\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n4\n26\n14648390800795718472533868\n",
"3\n3\n101\n5\n01011\n6\n122514\n",
"3\n3\n001\n5\n01011\n6\n209652\n",
"11\n1\n0\n1\n1\n1\n2\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n4\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n211\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n4\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n555483\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n5\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n101\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n11011\n6\n291524\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n5\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n3\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n"
],
"output": [
"3\n6\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n6\n1\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n4\n",
"0\n4\n1\n",
"0\n6\n4\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"1\n6\n2\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n0\n37\n",
"1\n4\n0\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n1\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"1\n4\n2\n",
"1\n6\n0\n",
"0\n6\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"2\n4\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"1\n3\n1\n",
"2\n4\n1\n",
"1\n2\n1\n",
"3\n15\n1\n",
"0\n15\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n4\n",
"0\n4\n2\n",
"0\n3\n1\n",
"0\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"3\n6\n7\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n4\n1\n",
"1\n4\n1\n",
"0\n6\n1\n",
"1\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n4\n1\n",
"0\n4\n1\n",
"1\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n4\n1\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"2\n4\n2\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"2\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n"
]
} | 2CODEFORCES
|
1398_C. Good Subarrays_37895 | You are given an array a_1, a_2, ... , a_n consisting of integers from 0 to 9. A subarray a_l, a_{l+1}, a_{l+2}, ... , a_{r-1}, a_r is good if the sum of elements of this subarray is equal to the length of this subarray (∑_{i=l}^{r} a_i = r - l + 1).
For example, if a = [1, 2, 0], then there are 3 good subarrays: a_{1 ... 1} = [1], a_{2 ... 3} = [2, 0] and a_{1 ... 3} = [1, 2, 0].
Calculate the number of good subarrays of the array a.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 10^5) — the length of the array a.
The second line of each test case contains a string consisting of n decimal digits, where the i-th digit is equal to the value of a_i.
It is guaranteed that the sum of n over all test cases does not exceed 10^5.
Output
For each test case print one integer — the number of good subarrays of the array a.
Example
Input
3
3
120
5
11011
6
600005
Output
3
6
1
Note
The first test case is considered in the statement.
In the second test case, there are 6 good subarrays: a_{1 ... 1}, a_{2 ... 2}, a_{1 ... 2}, a_{4 ... 4}, a_{5 ... 5} and a_{4 ... 5}.
In the third test case there is only one good subarray: a_{2 ... 6}. | #include <bits/stdc++.h>
using namespace std;
void solve() {
long long n;
cin >> n;
;
string str;
cin >> str;
;
map<long long, long long> mp;
mp[0] = 1;
long long sum = 0;
long long ans = 0;
for (long long i = 0; i < str.size(); i++) {
sum += (str[i] - '0') - 1;
ans += mp[sum];
mp[sum]++;
}
cout << ans << "\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
long long t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
| 2C++
| {
"input": [
"3\n3\n120\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n600005\n",
"3\n3\n363\n5\n11011\n6\n600005\n",
"3\n3\n120\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n116164\n",
"3\n3\n249\n5\n11001\n6\n600005\n",
"3\n3\n557\n5\n11011\n6\n410206\n",
"3\n3\n158\n5\n11001\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n217\n5\n11011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n158\n5\n11001\n6\n874324\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n1\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n438493\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n14648390800795718472533868\n",
"3\n3\n217\n5\n01011\n6\n122514\n",
"3\n3\n158\n5\n11011\n6\n874324\n",
"3\n3\n363\n5\n11011\n6\n303028\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n191\n5\n01011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n00011\n6\n469172\n",
"3\n3\n101\n5\n01011\n6\n209652\n",
"3\n3\n001\n5\n01010\n6\n209652\n",
"3\n3\n120\n5\n11111\n6\n600005\n",
"3\n3\n363\n5\n11111\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n21205868842462199437692999\n",
"3\n3\n363\n5\n11010\n6\n525191\n",
"3\n3\n368\n5\n00011\n6\n469172\n",
"3\n3\n363\n5\n11010\n6\n744232\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n120\n5\n11011\n6\n911191\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n577\n5\n11011\n6\n600005\n",
"3\n3\n249\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n557\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11010\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n600005\n",
"3\n3\n985\n5\n11011\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n422591\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n6\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n600005\n",
"3\n3\n390\n5\n11001\n6\n600005\n",
"3\n3\n158\n5\n11001\n6\n779774\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n985\n5\n01011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n2\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n10011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n673614\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n4\n26\n14648390800795718472533868\n",
"3\n3\n101\n5\n01011\n6\n122514\n",
"3\n3\n001\n5\n01011\n6\n209652\n",
"11\n1\n0\n1\n1\n1\n2\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n4\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n211\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n4\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n555483\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n5\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n101\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n11011\n6\n291524\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n5\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n3\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n"
],
"output": [
"3\n6\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n6\n1\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n4\n",
"0\n4\n1\n",
"0\n6\n4\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"1\n6\n2\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n0\n37\n",
"1\n4\n0\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n1\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"1\n4\n2\n",
"1\n6\n0\n",
"0\n6\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"2\n4\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"1\n3\n1\n",
"2\n4\n1\n",
"1\n2\n1\n",
"3\n15\n1\n",
"0\n15\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n4\n",
"0\n4\n2\n",
"0\n3\n1\n",
"0\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"3\n6\n7\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n4\n1\n",
"1\n4\n1\n",
"0\n6\n1\n",
"1\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n4\n1\n",
"0\n4\n1\n",
"1\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n4\n1\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"2\n4\n2\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"2\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n"
]
} | 2CODEFORCES
|
1398_C. Good Subarrays_37896 | You are given an array a_1, a_2, ... , a_n consisting of integers from 0 to 9. A subarray a_l, a_{l+1}, a_{l+2}, ... , a_{r-1}, a_r is good if the sum of elements of this subarray is equal to the length of this subarray (∑_{i=l}^{r} a_i = r - l + 1).
For example, if a = [1, 2, 0], then there are 3 good subarrays: a_{1 ... 1} = [1], a_{2 ... 3} = [2, 0] and a_{1 ... 3} = [1, 2, 0].
Calculate the number of good subarrays of the array a.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 10^5) — the length of the array a.
The second line of each test case contains a string consisting of n decimal digits, where the i-th digit is equal to the value of a_i.
It is guaranteed that the sum of n over all test cases does not exceed 10^5.
Output
For each test case print one integer — the number of good subarrays of the array a.
Example
Input
3
3
120
5
11011
6
600005
Output
3
6
1
Note
The first test case is considered in the statement.
In the second test case, there are 6 good subarrays: a_{1 ... 1}, a_{2 ... 2}, a_{1 ... 2}, a_{4 ... 4}, a_{5 ... 5} and a_{4 ... 5}.
In the third test case there is only one good subarray: a_{2 ... 6}. | from collections import defaultdict as dd
# d=dd(lambda:0)
from sys import stdin
stdin.readline
def mp(): return list(map(int, stdin.readline().strip().split()))
def it():return int(stdin.readline().strip())
for _ in range(it()):
n=it()
l=input()
v=[]
for i in l:
v.append(int(i))
# for i in range(n):
# v[i]-=1
# pref=[0]*n
# pref[0]=v[0]
# # print(pref)
# for j in range(1,n):
# pref[i]=pref[i-1]+v[i]
# # print(pref)
ans=0
d=dd(lambda:0)
d[1]+=1
s=0
# print(dict(d))
for i in range(n):
s+=v[i]
ans+=d[s-i]
d[s-i]+=1
# print(dict(d))
print(ans)
| 3Python3
| {
"input": [
"3\n3\n120\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n600005\n",
"3\n3\n363\n5\n11011\n6\n600005\n",
"3\n3\n120\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n116164\n",
"3\n3\n249\n5\n11001\n6\n600005\n",
"3\n3\n557\n5\n11011\n6\n410206\n",
"3\n3\n158\n5\n11001\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n217\n5\n11011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n158\n5\n11001\n6\n874324\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n1\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n438493\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n14648390800795718472533868\n",
"3\n3\n217\n5\n01011\n6\n122514\n",
"3\n3\n158\n5\n11011\n6\n874324\n",
"3\n3\n363\n5\n11011\n6\n303028\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n191\n5\n01011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n00011\n6\n469172\n",
"3\n3\n101\n5\n01011\n6\n209652\n",
"3\n3\n001\n5\n01010\n6\n209652\n",
"3\n3\n120\n5\n11111\n6\n600005\n",
"3\n3\n363\n5\n11111\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n21205868842462199437692999\n",
"3\n3\n363\n5\n11010\n6\n525191\n",
"3\n3\n368\n5\n00011\n6\n469172\n",
"3\n3\n363\n5\n11010\n6\n744232\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n120\n5\n11011\n6\n911191\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n577\n5\n11011\n6\n600005\n",
"3\n3\n249\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n557\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11010\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n600005\n",
"3\n3\n985\n5\n11011\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n422591\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n6\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n600005\n",
"3\n3\n390\n5\n11001\n6\n600005\n",
"3\n3\n158\n5\n11001\n6\n779774\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n985\n5\n01011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n2\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n10011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n673614\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n4\n26\n14648390800795718472533868\n",
"3\n3\n101\n5\n01011\n6\n122514\n",
"3\n3\n001\n5\n01011\n6\n209652\n",
"11\n1\n0\n1\n1\n1\n2\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n4\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n211\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n4\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n555483\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n5\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n101\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n11011\n6\n291524\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n5\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n3\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n"
],
"output": [
"3\n6\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n6\n1\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n4\n",
"0\n4\n1\n",
"0\n6\n4\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"1\n6\n2\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n0\n37\n",
"1\n4\n0\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n1\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"1\n4\n2\n",
"1\n6\n0\n",
"0\n6\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"2\n4\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"1\n3\n1\n",
"2\n4\n1\n",
"1\n2\n1\n",
"3\n15\n1\n",
"0\n15\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n4\n",
"0\n4\n2\n",
"0\n3\n1\n",
"0\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"3\n6\n7\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n4\n1\n",
"1\n4\n1\n",
"0\n6\n1\n",
"1\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n4\n1\n",
"0\n4\n1\n",
"1\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n4\n1\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"2\n4\n2\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"2\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n"
]
} | 2CODEFORCES
|
1398_C. Good Subarrays_37897 | You are given an array a_1, a_2, ... , a_n consisting of integers from 0 to 9. A subarray a_l, a_{l+1}, a_{l+2}, ... , a_{r-1}, a_r is good if the sum of elements of this subarray is equal to the length of this subarray (∑_{i=l}^{r} a_i = r - l + 1).
For example, if a = [1, 2, 0], then there are 3 good subarrays: a_{1 ... 1} = [1], a_{2 ... 3} = [2, 0] and a_{1 ... 3} = [1, 2, 0].
Calculate the number of good subarrays of the array a.
Input
The first line contains one integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains one integer n (1 ≤ n ≤ 10^5) — the length of the array a.
The second line of each test case contains a string consisting of n decimal digits, where the i-th digit is equal to the value of a_i.
It is guaranteed that the sum of n over all test cases does not exceed 10^5.
Output
For each test case print one integer — the number of good subarrays of the array a.
Example
Input
3
3
120
5
11011
6
600005
Output
3
6
1
Note
The first test case is considered in the statement.
In the second test case, there are 6 good subarrays: a_{1 ... 1}, a_{2 ... 2}, a_{1 ... 2}, a_{4 ... 4}, a_{5 ... 5} and a_{4 ... 5}.
In the third test case there is only one good subarray: a_{2 ... 6}. | import java.util.*;
import java.io.*;
public class B{
public static void main(String[] args)
{
FastScanner fs = new FastScanner();
PrintWriter out = new PrintWriter(System.out);
int t = fs.nextInt();
for(int tt=0;tt<t;tt++)
{
int n = fs.nextInt();
char[] arr = fs.next().toCharArray();
int[] sum = new int[n+1];
for(int i=1;i<=n;i++)
{
sum[i] = sum[i-1];
sum[i] += arr[i-1]-'0';
}
Map<Integer,Integer> hm = new HashMap();
long ans = 0;
for(int i=0;i<=n;i++)
{
ans += hm.getOrDefault((sum[i]-i),0);
hm.put(sum[i]-i,hm.getOrDefault(sum[i]-i,0)+1);
}
out.println(ans);
}
out.close();
}
static class FastScanner {
BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st=new StringTokenizer("");
String next() {
while (!st.hasMoreTokens())
try {
st=new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] readArray(int n) {
int[] a=new int[n];
for (int i=0; i<n; i++) a[i]=nextInt();
return a;
}
long nextLong() {
return Long.parseLong(next());
}
}
public static int[] sort(int[] arr)
{
List<Integer> temp = new ArrayList();
for(int i:arr)temp.add(i);
Collections.sort(temp);
int start = 0;
for(int i:temp)arr[start++]=i;
return arr;
}
} | 4JAVA
| {
"input": [
"3\n3\n120\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n600005\n",
"3\n3\n363\n5\n11011\n6\n600005\n",
"3\n3\n120\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n116164\n",
"3\n3\n249\n5\n11001\n6\n600005\n",
"3\n3\n557\n5\n11011\n6\n410206\n",
"3\n3\n158\n5\n11001\n6\n600005\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n217\n5\n11011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n158\n5\n11001\n6\n874324\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n1\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n438493\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n14648390800795718472533868\n",
"3\n3\n217\n5\n01011\n6\n122514\n",
"3\n3\n158\n5\n11011\n6\n874324\n",
"3\n3\n363\n5\n11011\n6\n303028\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n191\n5\n01011\n6\n122514\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n00011\n6\n469172\n",
"3\n3\n101\n5\n01011\n6\n209652\n",
"3\n3\n001\n5\n01010\n6\n209652\n",
"3\n3\n120\n5\n11111\n6\n600005\n",
"3\n3\n363\n5\n11111\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n21205868842462199437692999\n",
"3\n3\n363\n5\n11010\n6\n525191\n",
"3\n3\n368\n5\n00011\n6\n469172\n",
"3\n3\n363\n5\n11010\n6\n744232\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n120\n5\n11011\n6\n911191\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n577\n5\n11011\n6\n600005\n",
"3\n3\n249\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n2\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n557\n5\n11011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n4\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11010\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n600005\n",
"3\n3\n985\n5\n11011\n6\n600005\n",
"3\n3\n165\n5\n10011\n6\n422591\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n5\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n3\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n2\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n6\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n11011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n600005\n",
"3\n3\n390\n5\n11001\n6\n600005\n",
"3\n3\n158\n5\n11001\n6\n779774\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"3\n3\n985\n5\n01011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n2\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n1\n1\n7\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n217\n5\n10011\n6\n469172\n",
"3\n3\n557\n5\n01011\n6\n673614\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n4\n26\n14648390800795718472533868\n",
"3\n3\n101\n5\n01011\n6\n122514\n",
"3\n3\n001\n5\n01011\n6\n209652\n",
"11\n1\n0\n1\n1\n1\n2\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n3\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n3\n1\n5\n1\n9\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n4\n1\n9\n26\n19965157024213130997495413\n",
"3\n3\n211\n5\n10011\n6\n600005\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n5\n1\n1\n1\n4\n1\n8\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n363\n5\n11011\n6\n555483\n",
"11\n1\n0\n1\n2\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n2\n26\n19965157024213130997495413\n",
"11\n1\n0\n1\n0\n1\n0\n1\n4\n1\n0\n1\n7\n1\n0\n1\n7\n1\n5\n1\n1\n26\n11140000000090000000002111\n",
"3\n3\n101\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n6\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n4\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n01011\n6\n291524\n",
"11\n1\n0\n1\n1\n1\n0\n1\n5\n1\n4\n1\n5\n1\n9\n1\n7\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"3\n3\n001\n5\n11011\n6\n291524\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n4\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n0\n1\n0\n1\n5\n1\n5\n1\n9\n1\n1\n1\n8\n1\n2\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n1\n1\n2\n1\n3\n1\n4\n1\n5\n1\n3\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n1\n1\n1\n1\n2\n1\n3\n1\n0\n1\n5\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n",
"11\n1\n0\n1\n0\n1\n2\n1\n3\n1\n0\n1\n7\n1\n6\n1\n7\n1\n8\n1\n9\n26\n11140000000090000000002111\n"
],
"output": [
"3\n6\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n6\n1\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n4\n",
"0\n4\n1\n",
"0\n6\n4\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"1\n6\n2\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n0\n37\n",
"1\n4\n0\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n1\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"1\n4\n2\n",
"1\n6\n0\n",
"0\n6\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"2\n4\n2\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"1\n3\n1\n",
"2\n4\n1\n",
"1\n2\n1\n",
"3\n15\n1\n",
"0\n15\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n4\n",
"0\n4\n2\n",
"0\n3\n1\n",
"0\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"3\n6\n7\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n4\n1\n",
"1\n4\n1\n",
"0\n6\n1\n",
"1\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n4\n1\n",
"0\n4\n1\n",
"1\n4\n0\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"1\n4\n1\n",
"0\n4\n1\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n2\n",
"2\n4\n2\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"3\n4\n1\n",
"0\n0\n0\n0\n0\n0\n1\n0\n0\n1\n37\n",
"0\n6\n0\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n6\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n1\n37\n",
"2\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n4\n1\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n6\n1\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n37\n",
"0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n37\n",
"0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n37\n"
]
} | 2CODEFORCES
|
1421_D. Hexagons_37898 | Lindsey Buckingham told Stevie Nicks ["Go your own way"](https://www.youtube.com/watch?v=6ul-cZyuYq4). Nicks is now sad and wants to go away as quickly as possible, but she lives in a 2D hexagonal world.
Consider a hexagonal tiling of the plane as on the picture below.
<image>
Nicks wishes to go from the cell marked (0, 0) to a certain cell given by the coordinates. She may go from a hexagon to any of its six neighbors you want, but there is a cost associated with each of them. The costs depend only on the direction in which you travel. Going from (0, 0) to (1, 1) will take the exact same cost as going from (-2, -1) to (-1, 0). The costs are given in the input in the order c_1, c_2, c_3, c_4, c_5, c_6 as in the picture below.
<image>
Print the smallest cost of a path from the origin which has coordinates (0, 0) to the given cell.
Input
Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^{4}). Description of the test cases follows.
The first line of each test case contains two integers x and y (-10^{9} ≤ x, y ≤ 10^{9}) representing the coordinates of the target hexagon.
The second line of each test case contains six integers c_1, c_2, c_3, c_4, c_5, c_6 (1 ≤ c_1, c_2, c_3, c_4, c_5, c_6 ≤ 10^{9}) representing the six costs of the making one step in a particular direction (refer to the picture above to see which edge is for each value).
Output
For each testcase output the smallest cost of a path from the origin to the given cell.
Example
Input
2
-3 1
1 3 5 7 9 11
1000000000 1000000000
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000
Output
18
1000000000000000000
Note
The picture below shows the solution for the first sample. The cost 18 is reached by taking c_3 3 times and c_2 once, amounting to 5+5+5+3=18.
<image> | from __future__ import division, print_function
''' Hey stalker :) '''
INF = 10 ** 50
TEST_CASES = True
from collections import defaultdict, deque, Counter
from functools import reduce
from bisect import bisect_left
def main():
x,y = get_list()
costs = get_list()
C = [(1,1),
(0,1),
(-1,0),
(-1,-1),
(0,-1),
(1,0)]
# c0 - +x+y
# c1 - +x
# c2 - -y
# c3 - -x-y
# c4 - -x
# c5 - +y
ans = INF
for dir1 in range(6):
for dir2 in range(dir1+1, 6):
if dir1%3!=dir2%3:
x1, y1 = C[dir1]
x2, y2 = C[dir2]
if x1==0:
b = x*x2
a = (y - b*y2)*y1
elif x2==0:
a = x*x1
b = (y - a * y1)*y2
elif y1==0:
b = y*y2
a = (x - b*x2)*x1
elif y2==0:
a = y*y1
b = (x - a * x1)*x2
#print(dir1, dir2, a, b, a*costs[dir1]+b*costs[dir2])
if a>=0 and b>=0: ans = min(ans, a*costs[dir1]+b*costs[dir2])
print(ans)
''' FastIO Footer: PyRival Library, Thanks @c1729 and contributors '''
import os
import sys
from bisect import bisect_left, bisect_right, bisect
from io import BytesIO, IOBase
if sys.version_info[0] < 3:
from __builtin__ import xrange as range
from future_builtins import ascii, filter, hex, map, oct, zip
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
def print(*args, **kwargs):
"""Prints the values to a stream, or to sys.stdout by default."""
sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
at_start = True
for x in args:
if not at_start:
file.write(sep)
file.write(str(x))
at_start = False
file.write(kwargs.pop("end", "\n"))
if kwargs.pop("flush", False):
file.flush()
if sys.version_info[0] < 3:
sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
# else:
# sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
get_int = lambda: int(input())
get_list = lambda: list(map(int, input().split()))
if __name__ == "__main__":
if TEST_CASES:
[main() for _ in range(int(input()))]
else:
main()
| 1Python2
| {
"input": [
"2\n-3 1\n1 3 5 7 9 11\n1000000000 1000000000\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000\n",
"1\n-1000000000 -1000000000\n10000 20000 30000 40000 50000 60000\n",
"1\n0 0\n1 2 3 4 5 6\n",
"1\n-1000000000 -1000000000\n10000 20000 30000 40000 81069 60000\n",
"1\n-1 0\n1 2 3 4 5 6\n",
"2\n-3 1\n1 3 5 7 9 11\n1000000000 1000000000\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"1\n-1 0\n1 2 6 4 5 6\n",
"2\n-3 0\n1 3 5 7 9 11\n1000000000 1000000000\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"1\n-1 0\n1 2 4 4 5 6\n",
"2\n-3 0\n1 3 5 7 9 11\n1000000000 1000000001\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"2\n-3 0\n1 3 5 1 9 11\n1000000000 1000000001\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"1\n-1000000000 -1000000000\n11001 26694 30000 64355 150105 60000\n",
"2\n-3 0\n1 3 5 1 9 2\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-467245163 -1000000000\n11001 26694 30000 64355 150105 60000\n",
"1\n-1 0\n1 0 3 0 11 6\n",
"2\n-1 0\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-467245163 -1000000000\n11001 26694 8969 64355 150105 28865\n",
"2\n-1 1\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-587542488 -1000000000\n10001 26694 8969 64355 150105 28865\n",
"2\n-1 1\n1 5 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-587542488 -1563720223\n10001 26694 8969 64355 150105 28865\n",
"2\n-1 1\n1 5 0 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-587542488 -1563720223\n10001 47206 8969 64355 150105 29973\n",
"2\n-1 1\n1 5 0 1 18 3\n1000000000 1010000001\n1000000000 1001000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-267045550 -1563720223\n10001 47206 8969 64355 150105 29973\n",
"1\n0 -1\n2 0 0 0 10 11\n",
"2\n-1 1\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-267045550 -1563720223\n10001 89515 8969 64355 53530 29973\n",
"1\n-267045550 -1159646004\n10001 89515 8969 64355 53530 29973\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1100000001 1000000000\n",
"1\n-267045550 -1159646004\n10000 89515 15678 102403 53530 29973\n",
"1\n-267045550 -1159646004\n10000 89515 6903 102403 53530 29973\n",
"1\n0 -1\n4 1 1 1 5 10\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n-267045550 -1159646004\n10000 89515 6903 102403 76333 29973\n",
"2\n-2 2\n2 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n-267045550 -1159646004\n10000 89515 6903 102403 98822 29973\n",
"2\n-2 2\n4 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 98822 29973\n",
"2\n-2 2\n4 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 33593 29973\n",
"1\n0 -4\n4 2 1 2 5 10\n",
"2\n-2 2\n3 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 7183 29973\n",
"2\n-2 2\n3 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"2\n-4 2\n3 5 0 1 23 3\n1010000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 100948 4533 102403 7183 75514\n",
"1\n-267045550 -1415424985\n10000 100948 4533 102403 7183 75514\n",
"1\n-1000000000 -1000000000\n10000 20000 30000 40000 161306 60000\n",
"1\n-1000000000 -1000000000\n10000 26694 30000 40000 161306 60000\n",
"1\n-1000000000 -1000000000\n10001 26694 30000 40000 161306 60000\n",
"1\n-1 0\n1 2 4 4 7 6\n",
"1\n-1000000000 -1000000000\n10001 26694 30000 40000 150105 60000\n",
"1\n-1 0\n1 4 4 4 7 6\n",
"2\n-3 0\n1 3 5 1 9 11\n1000000000 1000000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-1000000000 -1000000000\n11001 26694 30000 40000 150105 60000\n",
"1\n-1 0\n1 4 4 4 11 6\n",
"2\n-3 0\n1 3 5 1 9 2\n1000000000 1000000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-1 0\n1 0 4 4 11 6\n",
"1\n-1 0\n1 0 3 4 11 6\n",
"2\n-3 0\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-467245163 -1000000000\n11001 26694 8969 64355 150105 60000\n",
"1\n0 0\n1 0 3 0 11 6\n",
"1\n-467245163 -1000000000\n10001 26694 8969 64355 150105 28865\n",
"1\n0 -1\n1 0 3 0 11 6\n",
"2\n-1 1\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-1 -1\n1 0 3 0 11 6\n",
"1\n0 -1\n1 0 3 0 9 6\n",
"1\n-587542488 -1563720223\n10001 47206 8969 64355 150105 28865\n",
"1\n0 -1\n1 0 3 0 10 6\n",
"2\n-1 1\n1 5 0 1 18 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n0 -1\n2 0 3 0 10 6\n",
"1\n0 -1\n2 0 0 0 10 6\n",
"2\n-1 1\n1 5 0 1 27 3\n1000000000 1010000001\n1000000000 1001000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-267045550 -1563720223\n10001 89515 8969 64355 150105 29973\n",
"1\n0 -1\n2 0 0 1 10 11\n",
"2\n-1 1\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1100000001 1000000000\n",
"1\n0 -1\n2 1 0 1 10 11\n",
"2\n-2 1\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1100000001 1000000000\n",
"1\n-267045550 -1159646004\n10001 89515 8969 102403 53530 29973\n",
"1\n0 -1\n4 1 0 1 10 11\n",
"1\n-267045550 -1159646004\n10000 89515 8969 102403 53530 29973\n",
"1\n0 -1\n4 1 0 1 10 10\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1000000001 1000000000\n",
"1\n0 -1\n4 1 1 1 10 10\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n0 -1\n4 2 1 1 5 10\n",
"1\n0 -1\n4 2 1 2 5 10\n",
"1\n0 -2\n4 2 1 2 5 10\n",
"1\n0 -4\n4 2 1 2 5 14\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 7183 41796\n",
"1\n0 -1\n4 2 1 2 5 14\n",
"2\n-2 2\n3 5 0 1 23 3\n1000000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 100948 6903 102403 7183 41796\n",
"1\n0 -1\n7 2 1 2 5 14\n",
"2\n-4 2\n3 5 0 1 23 3\n1000000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 100948 6903 102403 7183 75514\n",
"1\n0 -1\n7 2 1 2 0 14\n",
"1\n0 -1\n7 2 2 2 0 14\n",
"2\n-4 2\n3 5 0 1 23 4\n1010000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n0 -1\n1 2 2 2 0 14\n",
"2\n-4 2\n3 5 0 1 23 1\n1010000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -1415424985\n00000 100948 4533 102403 7183 75514\n"
],
"output": [
"18\n1000000000000000000\n",
"40000000000000\n",
"0\n",
"40000000000000\n",
"3\n",
"18\n1000000000000000000\n",
"6\n",
"15\n1000000000000000000\n",
"4\n",
"15\n1000000001000000000\n",
"12\n1000000001000000000\n",
"64355000000000\n",
"12\n1010000001000000000\n",
"96320290220000\n",
"0\n",
"4\n1010000001000000000\n",
"79732968370005\n",
"7\n1010000001000000000\n",
"76260586083880\n",
"10\n1010000001000000000\n",
"128810585271940\n",
"1\n1010000001000000000\n",
"129892190202320\n",
"1\n1010010001001000000\n",
"139498444924994\n",
"10\n",
"1\n1000000001001000000\n",
"86101075075140\n",
"64470982132070\n",
"2\n1000000001001000000\n",
"66262590727020\n",
"63919266025770\n",
"5\n",
"2\n1000000000\n",
"90362673854982\n",
"4\n1000000000\n",
"115554827521838\n",
"8\n1000000000\n",
"86404713598006\n",
"8\n1000000010\n",
"30890276354114\n",
"20\n",
"6\n1000000010\n",
"8054340386434\n",
"6\n1001000000\n",
"6\n9999999000000000\n",
"7421442432934\n",
"11377515145405\n",
"40000000000000\n",
"40000000000000\n",
"40000000000000\n",
"4\n",
"40000000000000\n",
"4\n",
"12\n1000000001000000000\n",
"40000000000000\n",
"4\n",
"12\n1000000001000000000\n",
"4\n",
"3\n",
"12\n1010000001000000000\n",
"96320290220000\n",
"0\n",
"79732968370005\n",
"6\n",
"7\n1010000001000000000\n",
"0\n",
"6\n",
"128810585271940\n",
"6\n",
"1\n1010000001000000000\n",
"6\n",
"6\n",
"1\n1010010001001000000\n",
"139498444924994\n",
"10\n",
"1\n1000000001001000000\n",
"10\n",
"1\n1000000001001000000\n",
"64470982132070\n",
"10\n",
"64470982132070\n",
"10\n",
"2\n1000000001001000000\n",
"10\n",
"2\n1000000001001000000\n",
"5\n",
"5\n",
"10\n",
"20\n",
"8054340386434\n",
"5\n",
"6\n1001000000\n",
"8054340386434\n",
"5\n",
"6\n1001000000\n",
"8054340386434\n",
"0\n",
"0\n",
"6\n9999999000000000\n",
"0\n",
"6\n9999999000000000\n",
"11377515145405\n"
]
} | 2CODEFORCES
|
1421_D. Hexagons_37899 | Lindsey Buckingham told Stevie Nicks ["Go your own way"](https://www.youtube.com/watch?v=6ul-cZyuYq4). Nicks is now sad and wants to go away as quickly as possible, but she lives in a 2D hexagonal world.
Consider a hexagonal tiling of the plane as on the picture below.
<image>
Nicks wishes to go from the cell marked (0, 0) to a certain cell given by the coordinates. She may go from a hexagon to any of its six neighbors you want, but there is a cost associated with each of them. The costs depend only on the direction in which you travel. Going from (0, 0) to (1, 1) will take the exact same cost as going from (-2, -1) to (-1, 0). The costs are given in the input in the order c_1, c_2, c_3, c_4, c_5, c_6 as in the picture below.
<image>
Print the smallest cost of a path from the origin which has coordinates (0, 0) to the given cell.
Input
Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^{4}). Description of the test cases follows.
The first line of each test case contains two integers x and y (-10^{9} ≤ x, y ≤ 10^{9}) representing the coordinates of the target hexagon.
The second line of each test case contains six integers c_1, c_2, c_3, c_4, c_5, c_6 (1 ≤ c_1, c_2, c_3, c_4, c_5, c_6 ≤ 10^{9}) representing the six costs of the making one step in a particular direction (refer to the picture above to see which edge is for each value).
Output
For each testcase output the smallest cost of a path from the origin to the given cell.
Example
Input
2
-3 1
1 3 5 7 9 11
1000000000 1000000000
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000
Output
18
1000000000000000000
Note
The picture below shows the solution for the first sample. The cost 18 is reached by taking c_3 3 times and c_2 once, amounting to 5+5+5+3=18.
<image> | #include <bits/stdc++.h>
using namespace std;
long long c[9];
long long solve(long long x, long long y) {
if (x == 0 && y == 0) return 0;
long long r = abs(x);
x /= r;
y /= r;
long long ans;
if (x == 1 && y == 1)
ans = c[1];
else if (x == 1 && y == -1)
ans = c[8];
else if (x == -1 && y == 1)
ans = c[7];
else
ans = c[4];
return r * ans;
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
long long t;
cin >> t;
while (t--) {
long long x, y;
cin >> x >> y;
for (long long i = 1; i < 7; i++) cin >> c[i];
c[1] = min(c[1], c[2] + c[6]);
c[2] = min(c[2], c[1] + c[3]);
c[3] = min(c[3], c[2] + c[4]);
c[4] = min(c[4], c[3] + c[5]);
c[5] = min(c[5], c[4] + c[6]);
c[6] = min(c[6], c[1] + c[5]);
c[7] = c[2] + c[3];
c[8] = c[5] + c[6];
long long ans = 0;
if (abs(x) == abs(y))
ans = solve(x, y);
else if (abs(x) < abs(y)) {
if (y > 0) {
ans += c[2] * (abs(y) - abs(x));
y -= abs(y) - abs(x);
} else {
ans += c[5] * (abs(y) - abs(x));
y += abs(y) - abs(x);
}
ans += solve(x, y);
} else {
if (x > 0) {
ans += c[6] * (abs(x) - abs(y));
x -= abs(x) - abs(y);
} else {
ans += c[3] * (abs(x) - abs(y));
x += abs(x) - abs(y);
}
ans += solve(x, y);
}
cout << ans << '\n';
}
return 0;
}
| 2C++
| {
"input": [
"2\n-3 1\n1 3 5 7 9 11\n1000000000 1000000000\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000\n",
"1\n-1000000000 -1000000000\n10000 20000 30000 40000 50000 60000\n",
"1\n0 0\n1 2 3 4 5 6\n",
"1\n-1000000000 -1000000000\n10000 20000 30000 40000 81069 60000\n",
"1\n-1 0\n1 2 3 4 5 6\n",
"2\n-3 1\n1 3 5 7 9 11\n1000000000 1000000000\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"1\n-1 0\n1 2 6 4 5 6\n",
"2\n-3 0\n1 3 5 7 9 11\n1000000000 1000000000\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"1\n-1 0\n1 2 4 4 5 6\n",
"2\n-3 0\n1 3 5 7 9 11\n1000000000 1000000001\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"2\n-3 0\n1 3 5 1 9 11\n1000000000 1000000001\n1000000000 1000000000 1000000000 1000000000 1100000000 1000000000\n",
"1\n-1000000000 -1000000000\n11001 26694 30000 64355 150105 60000\n",
"2\n-3 0\n1 3 5 1 9 2\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-467245163 -1000000000\n11001 26694 30000 64355 150105 60000\n",
"1\n-1 0\n1 0 3 0 11 6\n",
"2\n-1 0\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-467245163 -1000000000\n11001 26694 8969 64355 150105 28865\n",
"2\n-1 1\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-587542488 -1000000000\n10001 26694 8969 64355 150105 28865\n",
"2\n-1 1\n1 5 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-587542488 -1563720223\n10001 26694 8969 64355 150105 28865\n",
"2\n-1 1\n1 5 0 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-587542488 -1563720223\n10001 47206 8969 64355 150105 29973\n",
"2\n-1 1\n1 5 0 1 18 3\n1000000000 1010000001\n1000000000 1001000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-267045550 -1563720223\n10001 47206 8969 64355 150105 29973\n",
"1\n0 -1\n2 0 0 0 10 11\n",
"2\n-1 1\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-267045550 -1563720223\n10001 89515 8969 64355 53530 29973\n",
"1\n-267045550 -1159646004\n10001 89515 8969 64355 53530 29973\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1100000001 1000000000\n",
"1\n-267045550 -1159646004\n10000 89515 15678 102403 53530 29973\n",
"1\n-267045550 -1159646004\n10000 89515 6903 102403 53530 29973\n",
"1\n0 -1\n4 1 1 1 5 10\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n-267045550 -1159646004\n10000 89515 6903 102403 76333 29973\n",
"2\n-2 2\n2 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n-267045550 -1159646004\n10000 89515 6903 102403 98822 29973\n",
"2\n-2 2\n4 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 98822 29973\n",
"2\n-2 2\n4 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 33593 29973\n",
"1\n0 -4\n4 2 1 2 5 10\n",
"2\n-2 2\n3 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1000000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 7183 29973\n",
"2\n-2 2\n3 5 0 1 27 3\n1000000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"2\n-4 2\n3 5 0 1 23 3\n1010000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 100948 4533 102403 7183 75514\n",
"1\n-267045550 -1415424985\n10000 100948 4533 102403 7183 75514\n",
"1\n-1000000000 -1000000000\n10000 20000 30000 40000 161306 60000\n",
"1\n-1000000000 -1000000000\n10000 26694 30000 40000 161306 60000\n",
"1\n-1000000000 -1000000000\n10001 26694 30000 40000 161306 60000\n",
"1\n-1 0\n1 2 4 4 7 6\n",
"1\n-1000000000 -1000000000\n10001 26694 30000 40000 150105 60000\n",
"1\n-1 0\n1 4 4 4 7 6\n",
"2\n-3 0\n1 3 5 1 9 11\n1000000000 1000000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-1000000000 -1000000000\n11001 26694 30000 40000 150105 60000\n",
"1\n-1 0\n1 4 4 4 11 6\n",
"2\n-3 0\n1 3 5 1 9 2\n1000000000 1000000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-1 0\n1 0 4 4 11 6\n",
"1\n-1 0\n1 0 3 4 11 6\n",
"2\n-3 0\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000000 1000000000\n",
"1\n-467245163 -1000000000\n11001 26694 8969 64355 150105 60000\n",
"1\n0 0\n1 0 3 0 11 6\n",
"1\n-467245163 -1000000000\n10001 26694 8969 64355 150105 28865\n",
"1\n0 -1\n1 0 3 0 11 6\n",
"2\n-1 1\n1 3 5 1 9 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-1 -1\n1 0 3 0 11 6\n",
"1\n0 -1\n1 0 3 0 9 6\n",
"1\n-587542488 -1563720223\n10001 47206 8969 64355 150105 28865\n",
"1\n0 -1\n1 0 3 0 10 6\n",
"2\n-1 1\n1 5 0 1 18 3\n1000000000 1010000001\n1000000000 1000000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n0 -1\n2 0 3 0 10 6\n",
"1\n0 -1\n2 0 0 0 10 6\n",
"2\n-1 1\n1 5 0 1 27 3\n1000000000 1010000001\n1000000000 1001000000 1000000000 1001000000 1100000001 1000000000\n",
"1\n-267045550 -1563720223\n10001 89515 8969 64355 150105 29973\n",
"1\n0 -1\n2 0 0 1 10 11\n",
"2\n-1 1\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1100000001 1000000000\n",
"1\n0 -1\n2 1 0 1 10 11\n",
"2\n-2 1\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1100000001 1000000000\n",
"1\n-267045550 -1159646004\n10001 89515 8969 102403 53530 29973\n",
"1\n0 -1\n4 1 0 1 10 11\n",
"1\n-267045550 -1159646004\n10000 89515 8969 102403 53530 29973\n",
"1\n0 -1\n4 1 0 1 10 10\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000000 1000000001 1000000000\n",
"1\n0 -1\n4 1 1 1 10 10\n",
"2\n-2 2\n1 5 0 1 27 3\n1000000000 1000000001\n1000000000 1001000000 1000000000 0001000100 1000000001 1000000000\n",
"1\n0 -1\n4 2 1 1 5 10\n",
"1\n0 -1\n4 2 1 2 5 10\n",
"1\n0 -2\n4 2 1 2 5 10\n",
"1\n0 -4\n4 2 1 2 5 14\n",
"1\n-267045550 -864670048\n10000 89515 6903 102403 7183 41796\n",
"1\n0 -1\n4 2 1 2 5 14\n",
"2\n-2 2\n3 5 0 1 23 3\n1000000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 100948 6903 102403 7183 41796\n",
"1\n0 -1\n7 2 1 2 5 14\n",
"2\n-4 2\n3 5 0 1 23 3\n1000000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -864670048\n10000 100948 6903 102403 7183 75514\n",
"1\n0 -1\n7 2 1 2 0 14\n",
"1\n0 -1\n7 2 2 2 0 14\n",
"2\n-4 2\n3 5 0 1 23 4\n1010000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n0 -1\n1 2 2 2 0 14\n",
"2\n-4 2\n3 5 0 1 23 1\n1010000000 1000000001\n0000000000 1001000000 1001000010 0001000100 1000000001 1000000000\n",
"1\n-267045550 -1415424985\n00000 100948 4533 102403 7183 75514\n"
],
"output": [
"18\n1000000000000000000\n",
"40000000000000\n",
"0\n",
"40000000000000\n",
"3\n",
"18\n1000000000000000000\n",
"6\n",
"15\n1000000000000000000\n",
"4\n",
"15\n1000000001000000000\n",
"12\n1000000001000000000\n",
"64355000000000\n",
"12\n1010000001000000000\n",
"96320290220000\n",
"0\n",
"4\n1010000001000000000\n",
"79732968370005\n",
"7\n1010000001000000000\n",
"76260586083880\n",
"10\n1010000001000000000\n",
"128810585271940\n",
"1\n1010000001000000000\n",
"129892190202320\n",
"1\n1010010001001000000\n",
"139498444924994\n",
"10\n",
"1\n1000000001001000000\n",
"86101075075140\n",
"64470982132070\n",
"2\n1000000001001000000\n",
"66262590727020\n",
"63919266025770\n",
"5\n",
"2\n1000000000\n",
"90362673854982\n",
"4\n1000000000\n",
"115554827521838\n",
"8\n1000000000\n",
"86404713598006\n",
"8\n1000000010\n",
"30890276354114\n",
"20\n",
"6\n1000000010\n",
"8054340386434\n",
"6\n1001000000\n",
"6\n9999999000000000\n",
"7421442432934\n",
"11377515145405\n",
"40000000000000\n",
"40000000000000\n",
"40000000000000\n",
"4\n",
"40000000000000\n",
"4\n",
"12\n1000000001000000000\n",
"40000000000000\n",
"4\n",
"12\n1000000001000000000\n",
"4\n",
"3\n",
"12\n1010000001000000000\n",
"96320290220000\n",
"0\n",
"79732968370005\n",
"6\n",
"7\n1010000001000000000\n",
"0\n",
"6\n",
"128810585271940\n",
"6\n",
"1\n1010000001000000000\n",
"6\n",
"6\n",
"1\n1010010001001000000\n",
"139498444924994\n",
"10\n",
"1\n1000000001001000000\n",
"10\n",
"1\n1000000001001000000\n",
"64470982132070\n",
"10\n",
"64470982132070\n",
"10\n",
"2\n1000000001001000000\n",
"10\n",
"2\n1000000001001000000\n",
"5\n",
"5\n",
"10\n",
"20\n",
"8054340386434\n",
"5\n",
"6\n1001000000\n",
"8054340386434\n",
"5\n",
"6\n1001000000\n",
"8054340386434\n",
"0\n",
"0\n",
"6\n9999999000000000\n",
"0\n",
"6\n9999999000000000\n",
"11377515145405\n"
]
} | 2CODEFORCES
|
Subsets and Splits