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 |
|---|---|---|---|---|---|
p02943 AtCoder Grand Contest 037 - Reversing and Concatenating_1400 | Takahashi has a string S of length N consisting of lowercase English letters. On this string, he will perform the following operation K times:
* Let T be the string obtained by reversing S, and U be the string obtained by concatenating S and T in this order.
* Let S' be some contiguous substring of U with length N, and replace S with S'.
Among the strings that can be the string S after the K operations, find the lexicographically smallest possible one.
Constraints
* 1 \leq N \leq 5000
* 1 \leq K \leq 10^9
* |S|=N
* S consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
N K
S
Output
Print the lexicographically smallest possible string that can be the string S after the K operations.
Examples
Input
5 1
bacba
Output
aabca
Input
10 2
bbaabbbaab
Output
aaaabbaabb | import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
try {
final int N = sc.nextInt();
int K = sc.nextInt();
StringBuilder S = new StringBuilder(sc.next());
boolean firstTime = true;
int step = 1;
while (K > 0) {
StringBuilder T = new StringBuilder(S.toString());
T.reverse();
StringBuilder revU = new StringBuilder(S.toString() + T.toString());
revU.reverse();
String sDash = S.toString();
for (int i=N; i>=0; i-=step) {
String tmp = revU.substring(i, i+N);
if (sDash.compareTo(tmp) > 0) {
sDash = tmp;
} else {
if (!firstTime) {
break;
}
}
}
if (firstTime) {
firstTime = false;
if (Math.pow(2, K) > N) {
char c = sDash.charAt(0);
for (int i=0; i<N; i++) {
System.out.print(c);
}
System.out.println();
System.exit(0);
}
} else {
step += step;
}
K--;
S = new StringBuilder(sDash);
S.reverse();
}
System.out.println(S.reverse());
} finally {
sc.close();
}
}
/*
public static int compareTo(String value, String anotherString, int step) {
int len1 = value.length();
int len2 = anotherString.length();
int lim = Math.min(len1, len2);
char v1[] = value.toCharArray();
char v2[] = anotherString.toCharArray();
int k = 0;
while (k < lim) {
System.out.print(lim + " / ");
System.out.println(k);
char c1 = v1[k];
char c2 = v2[k];
if (c1 != c2) {
return c1 - c2;
}
k+=step;
}
return len1 - len2;
}
*/
}
| 4JAVA
| {
"input": [
"5 1\nbacba",
"10 2\nbbaabbbaab",
"5 2\nbacba",
"10 2\nbbbabbbaaa",
"10 3\nbbaabbbaab",
"5 2\nbacaa",
"10 2\nbaabbbaabb",
"10 2\nbaabbaaabb",
"10 2\nbbaaabbbab",
"5 1\nbabba",
"10 2\nbabbbbaabb",
"10 1\nbaabbaaabb",
"5 1\nbabbb",
"10 2\nbbaabbbbab",
"10 1\nbbaaabbaab",
"8 5\nbbaaabbbab",
"5 1\nbabbc",
"5 2\nbabbc",
"5 2\ncabab",
"10 1\nbbaabbbaab",
"5 1\nbacaa",
"5 1\nb`bbb",
"10 1\nbabbbbaabb",
"10 1\nbbbabbcaaa",
"5 1\naacab",
"10 1\nbbaabbbbab",
"5 1\ncbbab",
"5 1\naabac",
"4 4\nbbaaabbbab",
"5 1\nbaaac",
"5 2\naac`a",
"9 5\nbbaaabbbab",
"10 2\nabbabbbbab",
"10 1\nbbaabbcbab",
"5 1\nbabac",
"5 1\ncaaab",
"10 2\nbbaabbcbab",
"5 1\ncbbba",
"5 2\na`aac",
"5 1\naacba",
"5 1\nbbbac",
"5 1\nabcba",
"10 1\nbbaaabbbab",
"5 1\nbabca",
"5 2\n`bcab",
"2 5\nbacaa",
"10 2\nbbaaabbaab",
"5 8\nabc`a",
"10 1\nbbb`bbbaaa",
"10 3\nbabbba`abb",
"10 3\nbaabbababa",
"5 1\nb`abb",
"10 1\nbbbbbbaaba",
"10 5\nbbaa`bbbab",
"10 1\nabbabbcaba",
"5 1\naac`a",
"6 4\nbcaaabbbab",
"10 2\nbbaaabcbab",
"5 2\nca``a",
"5 1\nb`aac",
"10 2\nbbaabbcaab",
"5 2\nbbbac",
"10 2\nbbcabbba`a",
"10 2\nbbb`bbbaaa",
"7 7\nbbaaabbbab",
"5 1\nbba`b",
"10 2\nabbabbcaba",
"5 1\nbabcb",
"10 1\nbaaabbbaab",
"10 2\nbbb`babaaa",
"5 2\nbba`b",
"3 4\na``ac",
"10 1\nbaaabbb`ab",
"10 2\naaabab`bbb",
"5 2\nb`abb",
"10 3\naaabab`bbb",
"5 2\nacbbd",
"8 7\nbba`abbaac",
"10 3\nbbaabbba`b",
"5 2\nb`cba",
"10 1\nbaaaabbaab",
"5 1\nbabcc",
"5 3\n`bcaa",
"5 1\nb`caa",
"10 1\nbbbabbc`aa",
"5 2\na`bac",
"5 1\n`bcab",
"10 2\nbbaabbbbbb",
"10 1\naaabbb`bbb",
"10 1\nbabbba`abb",
"5 2\nbaa`c",
"10 2\nbba`bbcaab",
"5 1\nabdab",
"10 2\nbaaabbb`ab",
"10 4\naaabab`bbb",
"10 1\nbbaabbba`b",
"10 2\nbaabbb`abb",
"10 1\nbabbbaabba",
"5 5\nbbbbc",
"3 6\nbbaabbbaab",
"5 1\nbbbad",
"5 1\n`bdab"
],
"output": [
"aabca",
"aaaabbaabb",
"aaaab\n",
"aaaaaaaaaa\n",
"aaaaaaaabb\n",
"aaaaa\n",
"aaaabbbaab\n",
"aaaaaabbbb\n",
"aaaaaabbba\n",
"aabba\n",
"aaaabbbbaa\n",
"aaabbbbaaa\n",
"abbbb\n",
"aaaabbbbab\n",
"aaabbaabba\n",
"aaaaaaaa\n",
"abbcc\n",
"aabbc\n",
"aabab\n",
"aabbaabbba\n",
"aaaac\n",
"`bbbb\n",
"aabbbbaabb\n",
"aaaaaacbba\n",
"aacab\n",
"aabbbbabba\n",
"abbab\n",
"aabac\n",
"aaaa\n",
"aaacc\n",
"``aa`\n",
"aaaaaaaaa\n",
"aabbabbbba\n",
"aabbcbabba\n",
"abacc\n",
"aaabb\n",
"aaaabbcbab\n",
"aabbb\n",
"``aac\n",
"aabca\n",
"accab\n",
"aabcb\n",
"aaabbbabba\n",
"aacba\n",
"``bca\n",
"aa\n",
"aaaaaabbaa\n",
"`````\n",
"`bbbaaaaaa\n",
"````abbbba\n",
"aaaaaaaaba\n",
"`abbb\n",
"aabaabaabb\n",
"``````````\n",
"aabacbbabb\n",
"`aa`c\n",
"aaaaaa\n",
"aaaaaabcba\n",
"````a\n",
"`aacc\n",
"aaaabbaacb\n",
"aacca\n",
"``aa`abbba\n",
"``bbbaaaaa\n",
"aaaaaaa\n",
"`bb`a\n",
"aaaabacbba\n",
"abcbb\n",
"aaabbbaabb\n",
"``babaaaaa\n",
"``bb`\n",
"```\n",
"`abba`bbba\n",
"``bbbbbb`b\n",
"``abb\n",
"````bbbbbb\n",
"aacbb\n",
"````````\n",
"````bb`abb\n",
"``cba\n",
"aaaabbaabb\n",
"abccc\n",
"````b\n",
"`caaa\n",
"`aaaa`cbba\n",
"``bac\n",
"`bcab\n",
"aaaabbbbbb\n",
"`bbbbbb`bb\n",
"`abbbba`ab\n",
"``cc`\n",
"``bbcaabba\n",
"abbad\n",
"``abba`bbb\n",
"````````bb\n",
"`bb`abbbaa\n",
"``abbbba`b\n",
"aabbaabbaa\n",
"bbbbb\n",
"aaa\n",
"addab\n",
"`bdab\n"
]
} | 5ATCODER
|
p03080 ExaWizards 2019 - Red or Blue_1401 | There are N people numbered 1 to N. Each person wears a red hat or a blue hat.
You are given a string s representing the colors of the people. Person i wears a red hat if s_i is `R`, and a blue hat if s_i is `B`.
Determine if there are more people wearing a red hat than people wearing a blue hat.
Constraints
* 1 \leq N \leq 100
* |s| = N
* s_i is `R` or `B`.
Input
Input is given from Standard Input in the following format:
N
s
Output
If there are more people wearing a red hat than there are people wearing a blue hat, print `Yes`; otherwise, print `No`.
Examples
Input
4
RRBR
Output
Yes
Input
4
BRBR
Output
No | n = input()
s = raw_input()
r = s.count("R")
b = s.count("B")
if r > b:
print "Yes"
else:
print "No" | 1Python2
| {
"input": [
"4\nRRBR",
"4\nBRBR",
"4\nRBRR",
"4\nBBRR",
"4\nRRCR",
"4\nRRAR",
"4\nRARR",
"4\nBQBR",
"4\nRCRR",
"4\nBPBR",
"4\nRRRC",
"4\nAQBR",
"4\nRRRD",
"4\nAQBS",
"4\nDRRR",
"4\nARBS",
"4\nERRR",
"4\nBQBS",
"4\nBPBS",
"4\nPBBS",
"4\nSBBP",
"4\nPBSB",
"4\nPASB",
"4\nPASC",
"4\nPACS",
"4\nPCAS",
"4\nCPAS",
"4\nCOAS",
"4\nOCAS",
"4\nSACO",
"4\nOACS",
"4\nSCAO",
"4\nSCBO",
"4\nCSBO",
"4\nCBSO",
"4\nSBCO",
"4\nSBCN",
"4\nNBCS",
"4\nSCBN",
"4\nNBBS",
"4\nNBAS",
"4\nNAAS",
"4\nNASA",
"4\nASAN",
"4\nSAAN",
"4\nSAAM",
"4\nMAAS",
"4\nMBAS",
"4\nMB@S",
"4\nMC@S",
"4\nM@CS",
"4\nM?CS",
"4\nSC?M",
"4\nS?CM",
"4\nS@CM",
"4\nSRCB",
"4\nARRR",
"4\nBBQR",
"4\nR@RR",
"4\nRBQB",
"4\nCRRR",
"4\nAPBR",
"4\nAQBQ",
"4\nBRBS",
"4\nAQCS",
"4\nBPCS",
"4\nPSBB",
"4\nSABP",
"4\nPBSC",
"4\nPARB",
"4\nCASP",
"4\nSCAP",
"4\nP@CS",
"4\nCQAS",
"4\nSAOC",
"4\nSOCA",
"4\nOBCS",
"4\nSDAO",
"4\nRCBO",
"4\nBSBO",
"4\nOCBS",
"4\nSBDO",
"4\nNCBS",
"4\nNACS",
"4\nSCCN",
"4\nSACN",
"4\nOBAS",
"4\nAASN",
"4\nNBSA",
"4\nNCSA",
"4\nSAAL",
"4\nMAAT",
"4\nSABM",
"4\nS@BM",
"4\nLC@S",
"4\nSC@M",
"4\nSM?C",
"4\nSC?N",
"4\nS?DM",
"4\nS@CL",
"4\nBCRS",
"4\nCBQR"
],
"output": [
"Yes",
"No",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n"
]
} | 5ATCODER
|
p03080 ExaWizards 2019 - Red or Blue_1402 | There are N people numbered 1 to N. Each person wears a red hat or a blue hat.
You are given a string s representing the colors of the people. Person i wears a red hat if s_i is `R`, and a blue hat if s_i is `B`.
Determine if there are more people wearing a red hat than people wearing a blue hat.
Constraints
* 1 \leq N \leq 100
* |s| = N
* s_i is `R` or `B`.
Input
Input is given from Standard Input in the following format:
N
s
Output
If there are more people wearing a red hat than there are people wearing a blue hat, print `Yes`; otherwise, print `No`.
Examples
Input
4
RRBR
Output
Yes
Input
4
BRBR
Output
No | #include <iostream>
using namespace std;
int main() {
int n,cR=0,cB=0;
cin>>n;
while(n--)
{
char s;
cin>>s;
if(s=='R')
cR++;
else
cB++;
}
if(cR>cB)
cout<<"Yes";
else
cout<<"No";
return 0;
} | 2C++
| {
"input": [
"4\nRRBR",
"4\nBRBR",
"4\nRBRR",
"4\nBBRR",
"4\nRRCR",
"4\nRRAR",
"4\nRARR",
"4\nBQBR",
"4\nRCRR",
"4\nBPBR",
"4\nRRRC",
"4\nAQBR",
"4\nRRRD",
"4\nAQBS",
"4\nDRRR",
"4\nARBS",
"4\nERRR",
"4\nBQBS",
"4\nBPBS",
"4\nPBBS",
"4\nSBBP",
"4\nPBSB",
"4\nPASB",
"4\nPASC",
"4\nPACS",
"4\nPCAS",
"4\nCPAS",
"4\nCOAS",
"4\nOCAS",
"4\nSACO",
"4\nOACS",
"4\nSCAO",
"4\nSCBO",
"4\nCSBO",
"4\nCBSO",
"4\nSBCO",
"4\nSBCN",
"4\nNBCS",
"4\nSCBN",
"4\nNBBS",
"4\nNBAS",
"4\nNAAS",
"4\nNASA",
"4\nASAN",
"4\nSAAN",
"4\nSAAM",
"4\nMAAS",
"4\nMBAS",
"4\nMB@S",
"4\nMC@S",
"4\nM@CS",
"4\nM?CS",
"4\nSC?M",
"4\nS?CM",
"4\nS@CM",
"4\nSRCB",
"4\nARRR",
"4\nBBQR",
"4\nR@RR",
"4\nRBQB",
"4\nCRRR",
"4\nAPBR",
"4\nAQBQ",
"4\nBRBS",
"4\nAQCS",
"4\nBPCS",
"4\nPSBB",
"4\nSABP",
"4\nPBSC",
"4\nPARB",
"4\nCASP",
"4\nSCAP",
"4\nP@CS",
"4\nCQAS",
"4\nSAOC",
"4\nSOCA",
"4\nOBCS",
"4\nSDAO",
"4\nRCBO",
"4\nBSBO",
"4\nOCBS",
"4\nSBDO",
"4\nNCBS",
"4\nNACS",
"4\nSCCN",
"4\nSACN",
"4\nOBAS",
"4\nAASN",
"4\nNBSA",
"4\nNCSA",
"4\nSAAL",
"4\nMAAT",
"4\nSABM",
"4\nS@BM",
"4\nLC@S",
"4\nSC@M",
"4\nSM?C",
"4\nSC?N",
"4\nS?DM",
"4\nS@CL",
"4\nBCRS",
"4\nCBQR"
],
"output": [
"Yes",
"No",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n"
]
} | 5ATCODER
|
p03080 ExaWizards 2019 - Red or Blue_1403 | There are N people numbered 1 to N. Each person wears a red hat or a blue hat.
You are given a string s representing the colors of the people. Person i wears a red hat if s_i is `R`, and a blue hat if s_i is `B`.
Determine if there are more people wearing a red hat than people wearing a blue hat.
Constraints
* 1 \leq N \leq 100
* |s| = N
* s_i is `R` or `B`.
Input
Input is given from Standard Input in the following format:
N
s
Output
If there are more people wearing a red hat than there are people wearing a blue hat, print `Yes`; otherwise, print `No`.
Examples
Input
4
RRBR
Output
Yes
Input
4
BRBR
Output
No | n = input()
s = input()
if s.count('R') > s.count('B') :
print('Yes')
else :
print('No')
| 3Python3
| {
"input": [
"4\nRRBR",
"4\nBRBR",
"4\nRBRR",
"4\nBBRR",
"4\nRRCR",
"4\nRRAR",
"4\nRARR",
"4\nBQBR",
"4\nRCRR",
"4\nBPBR",
"4\nRRRC",
"4\nAQBR",
"4\nRRRD",
"4\nAQBS",
"4\nDRRR",
"4\nARBS",
"4\nERRR",
"4\nBQBS",
"4\nBPBS",
"4\nPBBS",
"4\nSBBP",
"4\nPBSB",
"4\nPASB",
"4\nPASC",
"4\nPACS",
"4\nPCAS",
"4\nCPAS",
"4\nCOAS",
"4\nOCAS",
"4\nSACO",
"4\nOACS",
"4\nSCAO",
"4\nSCBO",
"4\nCSBO",
"4\nCBSO",
"4\nSBCO",
"4\nSBCN",
"4\nNBCS",
"4\nSCBN",
"4\nNBBS",
"4\nNBAS",
"4\nNAAS",
"4\nNASA",
"4\nASAN",
"4\nSAAN",
"4\nSAAM",
"4\nMAAS",
"4\nMBAS",
"4\nMB@S",
"4\nMC@S",
"4\nM@CS",
"4\nM?CS",
"4\nSC?M",
"4\nS?CM",
"4\nS@CM",
"4\nSRCB",
"4\nARRR",
"4\nBBQR",
"4\nR@RR",
"4\nRBQB",
"4\nCRRR",
"4\nAPBR",
"4\nAQBQ",
"4\nBRBS",
"4\nAQCS",
"4\nBPCS",
"4\nPSBB",
"4\nSABP",
"4\nPBSC",
"4\nPARB",
"4\nCASP",
"4\nSCAP",
"4\nP@CS",
"4\nCQAS",
"4\nSAOC",
"4\nSOCA",
"4\nOBCS",
"4\nSDAO",
"4\nRCBO",
"4\nBSBO",
"4\nOCBS",
"4\nSBDO",
"4\nNCBS",
"4\nNACS",
"4\nSCCN",
"4\nSACN",
"4\nOBAS",
"4\nAASN",
"4\nNBSA",
"4\nNCSA",
"4\nSAAL",
"4\nMAAT",
"4\nSABM",
"4\nS@BM",
"4\nLC@S",
"4\nSC@M",
"4\nSM?C",
"4\nSC?N",
"4\nS?DM",
"4\nS@CL",
"4\nBCRS",
"4\nCBQR"
],
"output": [
"Yes",
"No",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n"
]
} | 5ATCODER
|
p03080 ExaWizards 2019 - Red or Blue_1404 | There are N people numbered 1 to N. Each person wears a red hat or a blue hat.
You are given a string s representing the colors of the people. Person i wears a red hat if s_i is `R`, and a blue hat if s_i is `B`.
Determine if there are more people wearing a red hat than people wearing a blue hat.
Constraints
* 1 \leq N \leq 100
* |s| = N
* s_i is `R` or `B`.
Input
Input is given from Standard Input in the following format:
N
s
Output
If there are more people wearing a red hat than there are people wearing a blue hat, print `Yes`; otherwise, print `No`.
Examples
Input
4
RRBR
Output
Yes
Input
4
BRBR
Output
No | import java.util.Scanner;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int N = sc.nextInt();
String s = sc.next();
Main redOrBlue = new Main();
System.out.println(redOrBlue.judgeRedOrBlue(N, s));
}
private String judgeRedOrBlue(int n, String s) {
if(n < 1 || n > 100 || s == null || s.length() != n) return "No";
char r = 'R', b = 'B';
int countR = 0, countB = 0;
for(char c : s.toCharArray()){
if(c == r) countR++;
if(c == b) countB++;
}
if(countR > countB) return "Yes";
else return "No";
}
}
| 4JAVA
| {
"input": [
"4\nRRBR",
"4\nBRBR",
"4\nRBRR",
"4\nBBRR",
"4\nRRCR",
"4\nRRAR",
"4\nRARR",
"4\nBQBR",
"4\nRCRR",
"4\nBPBR",
"4\nRRRC",
"4\nAQBR",
"4\nRRRD",
"4\nAQBS",
"4\nDRRR",
"4\nARBS",
"4\nERRR",
"4\nBQBS",
"4\nBPBS",
"4\nPBBS",
"4\nSBBP",
"4\nPBSB",
"4\nPASB",
"4\nPASC",
"4\nPACS",
"4\nPCAS",
"4\nCPAS",
"4\nCOAS",
"4\nOCAS",
"4\nSACO",
"4\nOACS",
"4\nSCAO",
"4\nSCBO",
"4\nCSBO",
"4\nCBSO",
"4\nSBCO",
"4\nSBCN",
"4\nNBCS",
"4\nSCBN",
"4\nNBBS",
"4\nNBAS",
"4\nNAAS",
"4\nNASA",
"4\nASAN",
"4\nSAAN",
"4\nSAAM",
"4\nMAAS",
"4\nMBAS",
"4\nMB@S",
"4\nMC@S",
"4\nM@CS",
"4\nM?CS",
"4\nSC?M",
"4\nS?CM",
"4\nS@CM",
"4\nSRCB",
"4\nARRR",
"4\nBBQR",
"4\nR@RR",
"4\nRBQB",
"4\nCRRR",
"4\nAPBR",
"4\nAQBQ",
"4\nBRBS",
"4\nAQCS",
"4\nBPCS",
"4\nPSBB",
"4\nSABP",
"4\nPBSC",
"4\nPARB",
"4\nCASP",
"4\nSCAP",
"4\nP@CS",
"4\nCQAS",
"4\nSAOC",
"4\nSOCA",
"4\nOBCS",
"4\nSDAO",
"4\nRCBO",
"4\nBSBO",
"4\nOCBS",
"4\nSBDO",
"4\nNCBS",
"4\nNACS",
"4\nSCCN",
"4\nSACN",
"4\nOBAS",
"4\nAASN",
"4\nNBSA",
"4\nNCSA",
"4\nSAAL",
"4\nMAAT",
"4\nSABM",
"4\nS@BM",
"4\nLC@S",
"4\nSC@M",
"4\nSM?C",
"4\nSC?N",
"4\nS?DM",
"4\nS@CL",
"4\nBCRS",
"4\nCBQR"
],
"output": [
"Yes",
"No",
"Yes\n",
"No\n",
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n",
"No\n"
]
} | 5ATCODER
|
p03225 Tenka1 Programmer Contest - Equilateral_1405 | There are some coins in the xy-plane. The positions of the coins are represented by a grid of characters with H rows and W columns. If the character at the i-th row and j-th column, s_{ij}, is `#`, there is one coin at point (i,j); if that character is `.`, there is no coin at point (i,j). There are no other coins in the xy-plane.
There is no coin at point (x,y) where 1\leq i\leq H,1\leq j\leq W does not hold. There is also no coin at point (x,y) where x or y (or both) is not an integer. Additionally, two or more coins never exist at the same point.
Find the number of triples of different coins that satisfy the following condition:
* Choosing any two of the three coins would result in the same Manhattan distance between the points where they exist.
Here, the Manhattan distance between points (x,y) and (x',y') is |x-x'|+|y-y'|. Two triples are considered the same if the only difference between them is the order of the coins.
Constraints
* 1 \leq H,W \leq 300
* s_{ij} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{11}...s_{1W}
:
s_{H1}...s_{HW}
Output
Print the number of triples that satisfy the condition.
Examples
Input
5 4
#.##
.##.
#...
..##
...#
Output
3
Input
5 4
.##
.##.
...
..##
...#
Output
3
Input
13 27
......#.........#.......#..
...#.....###..
..............#####...##...
...#######......#...#######
...#.....#.....###...#...#.
...#######....#.#.#.#.###.#
..............#.#.#...#.#..
.#.#.#...###..
...........#...#...#######
..#######..#...#...#.....#
..#.....#..#...#...#.###.#
..#######..#...#...#.#.#.#
..........##...#...#.#####
Output
870 | #include <bits/stdc++.h>
using namespace std;
const int MAXN = 305;
int N, M, ps[3*MAXN][3*MAXN], ps2[3*MAXN][3*MAXN];
char arr[MAXN][MAXN];
vector<pair<int, int>> utama[2*MAXN], lain[2*MAXN];
int main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> N >> M;
for (int i = 0; i < N; i++) {
for (int j = 0; j < M; j++) {
cin >> arr[i][j];
if (arr[i][j] == '#') {
utama[i+j].push_back({i, j});
lain[i-j+MAXN].push_back({i, j});
}
}
}
for (int i = -N; i < 2*N; i++) {
for (int j = -M; j < 2*M; j++) {
ps[i+MAXN][j+MAXN] = ps[i-1+MAXN][j+1+MAXN];
ps2[i+MAXN][j+MAXN] = ps2[i-1+MAXN][j-1+MAXN];
if (0 <= i && i < N && 0 <= j && j < M && arr[i][j] == '#') {
ps[i+MAXN][j+MAXN]++;
ps2[i+MAXN][j+MAXN]++;
}
//~ cerr << ps[i+MAXN][j+MAXN] << " ";
}
//~ cerr << "\n";
}
int ans = 0;
for (int miring = 0; miring < N+M; miring++) {
for (int i = 0; i < (int)utama[miring].size(); i++) {
for (int j = i+1; j < (int)utama[miring].size(); j++) {
auto p = utama[miring][i], q = utama[miring][j];
int x = p.second-q.second + q.first-p.first;
assert(x > 0);
//~ cerr << ps[miring+x-p.second+MAXN][p.second+MAXN] << " " << ps[q.first-1+MAXN][miring+x-(q.first-1)+MAXN] << "ex\n";
ans += ps[p.first+MAXN][miring-x-p.first+MAXN] - ps[miring-x-(q.second+1)+MAXN][q.second+1+MAXN];
ans += ps[miring+x-p.second+MAXN][p.second+MAXN] - ps[q.first-1+MAXN][miring+x-(q.first-1)+MAXN];
}
}
}
for (int miring = -M; miring < N; miring++) {
for (int i = 0; i < (int)lain[miring+MAXN].size(); i++) {
for (int j = i+1; j < (int)lain[miring+MAXN].size(); j++) {
auto p = lain[miring+MAXN][i], q = lain[miring+MAXN][j];
int x = q.first-p.first + q.second-p.second;
//~ if (x <= 0) cerr << x << " ex\n";
assert(x > 0);
//~ cout << ps2[p.first-1+MAXN][-miring+x-(p.first-1)+MAXN] << "\n";
ans += ps2[miring+x+p.second-1+MAXN][p.second-1+MAXN] - ps2[q.first+MAXN][-miring-x+q.first+MAXN];
//~ cerr << ans << " ans\n";
ans += ps2[p.first-1+MAXN][-miring+x+(p.first-1)+MAXN] - ps2[miring-x+q.second+MAXN][q.second+MAXN];
}
}
}
//~ int ans2 = 0;
//~ for (int i = 0; i < N*M; i++) {
//~ for (int j = i+1; j < N*M; j++) {
//~ for (int k = j+1; k < N*M; k++) {
//~ if (arr[i/M][i%M] == '#' && arr[j/M][j%M] == '#' && arr[k/M][k%M] == '#'
//~ && abs(i/M-j/M) + abs(i%M - j%M) == abs(i/M-k/M) + abs(i%M - k%M)
//~ && abs(i/M-k/M) + abs(i%M - k%M) == abs(j/M - k/M) + abs(j%M - k%M)) ans2++;
//~ }
//~ }
//~ }
//~ cout << ans2 << "\n";
//~ assert(ans2 == ans);
cout << ans << "\n";
return 0;
}
| 2C++
| {
"input": [
"5 4\n#.##\n.##.\n#...\n..##\n...#",
"13 27\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#...#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"5 4\n.##\n.##.\n...\n..##\n...#",
"5 6\n#.##\n.##.\n#...\n..##\n...#",
"13 27\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"10 4\n.##\n.##.\n...\n..##\n...#",
"5 6\n$.##\n.##.\n#...\n..##\n...#",
"13 25\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 18\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"5 8\n#.$#\n.##.\n..-#\n##..\n...#",
"13 31\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"9 30\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"9 30\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n......../.....#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"9 30\n../...#...-.....#......-#..\n...#.....###..\n.............-#####...#\"...\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n../...#...-.....#......-#..\n...#.....###..\n.............-#####...#\"...\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...###..\n#######...#...#...../../..\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n../...#...-.....#......-#..\n...#.....###..\n.............-#####...#\"...\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...#$#..\n#######...#...#...../../..\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n../...#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...#$#..\n#######...#...#...../../..\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n../...#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#.....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.#####",
"13 30\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.\"....#######...\n......../.....#.#.#...#.#..\n.#.#.#./.#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#/....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.#####",
"13 25\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.\"....#######...\n......../.....#.#.#...#.#..\n.#.#.#./.#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#/....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.#####",
"13 25\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.\"....#######...\n......../.....#.#.#...#.#..\n.#.#.#./.#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#/....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.\"####",
"13 25\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-./...../.....\n...######.....#.#...#######\n.#..-#...###.....#.....#...\n#.###.#.#.#.\"....#######...\n......../.....#.#.#...#.#..\n.#.#.#./.#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#/....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.\"####",
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],
"output": [
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} | 5ATCODER
|
p03225 Tenka1 Programmer Contest - Equilateral_1406 | There are some coins in the xy-plane. The positions of the coins are represented by a grid of characters with H rows and W columns. If the character at the i-th row and j-th column, s_{ij}, is `#`, there is one coin at point (i,j); if that character is `.`, there is no coin at point (i,j). There are no other coins in the xy-plane.
There is no coin at point (x,y) where 1\leq i\leq H,1\leq j\leq W does not hold. There is also no coin at point (x,y) where x or y (or both) is not an integer. Additionally, two or more coins never exist at the same point.
Find the number of triples of different coins that satisfy the following condition:
* Choosing any two of the three coins would result in the same Manhattan distance between the points where they exist.
Here, the Manhattan distance between points (x,y) and (x',y') is |x-x'|+|y-y'|. Two triples are considered the same if the only difference between them is the order of the coins.
Constraints
* 1 \leq H,W \leq 300
* s_{ij} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{11}...s_{1W}
:
s_{H1}...s_{HW}
Output
Print the number of triples that satisfy the condition.
Examples
Input
5 4
#.##
.##.
#...
..##
...#
Output
3
Input
5 4
.##
.##.
...
..##
...#
Output
3
Input
13 27
......#.........#.......#..
...#.....###..
..............#####...##...
...#######......#...#######
...#.....#.....###...#...#.
...#######....#.#.#.#.###.#
..............#.#.#...#.#..
.#.#.#...###..
...........#...#...#######
..#######..#...#...#.....#
..#.....#..#...#...#.###.#
..#######..#...#...#.#.#.#
..........##...#...#.#####
Output
870 | H,W=map(int,input().split())
S=[list(input()) for i in range(H)]
table=[[0]*(H+W-1) for i in range(H+W-1)]
for j in range(H):
for i in range(W):
if S[j][i]=='#':
table[i+j][i-j+H-1]=1
yoko=[[0]*(H+W) for i in range(H+W-1)]
for j in range(H+W-1):
for i in range(1,H+W):
yoko[j][i]=yoko[j][i-1]+table[j][i-1]
tate=[[0]*(H+W-1) for i in range(H+W)]
for j in range(1,H+W):
for i in range(H+W-1):
tate[j][i]=tate[j-1][i]+table[j-1][i]
ans=0
for y in range(H+W-1):
for x in range((y+H-1)%2,H+W-1,2):
if table[y][x]!=1:
continue
for z in range(x+2,H+W-1,2):
if table[y][z]==1:
d=z-x
if y+d<H+W-1:
ans+=yoko[y+d][z+1]-yoko[y+d][x]
#print(1,'.',ans,':',x,y,z)
if y-d>=0:
ans+=yoko[y-d][z+1]-yoko[y-d][x]
#print(2,'.',ans,':',x,y,z)
for w in range(y+2,H+W-1,2):
if table[w][x]==1:
e=w-y
if x+e<H+W-1:
ans+=tate[w][x+e]-tate[y+1][x+e]
#print(3,'.',ans,':',x,y,w)
if x-e>=0:
ans+=tate[w][x-e]-tate[y+1][x-e]
#print(4,'.',ans,':',x,y,w)
print(ans)
| 3Python3
| {
"input": [
"5 4\n#.##\n.##.\n#...\n..##\n...#",
"13 27\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#...#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"5 4\n.##\n.##.\n...\n..##\n...#",
"5 6\n#.##\n.##.\n#...\n..##\n...#",
"13 27\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"10 4\n.##\n.##.\n...\n..##\n...#",
"5 6\n$.##\n.##.\n#...\n..##\n...#",
"13 25\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 18\n......#.........#.......#..\n...#.....###..\n..............#####...##...\n...#######......#...#######\n...#.....#.....###...#...#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"5 8\n#.$#\n.##.\n..-#\n##..\n...#",
"13 31\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n...........#...#./.#######\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n..#.....#..#...#...#.###.#\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
"13 30\n......#...-.....#.......#..\n...#.....###..\n..............#####...#\"...\n...#######......#...#######\n...#.....#.....###...#-..#.\n...#######....#.#.#.#.###.#\n..............#.#.#...#.#..\n.#.#.#...###..\n#######./.#...#...../.....\n..#######..#...#...#.....#\n#.###.#...#...#..#.....#..\n..#######..#...#...#.#.#.#\n..........##...#...#.#####",
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],
"output": [
"3",
"870",
"3",
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"187\n",
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]
} | 5ATCODER
|
p03225 Tenka1 Programmer Contest - Equilateral_1407 | There are some coins in the xy-plane. The positions of the coins are represented by a grid of characters with H rows and W columns. If the character at the i-th row and j-th column, s_{ij}, is `#`, there is one coin at point (i,j); if that character is `.`, there is no coin at point (i,j). There are no other coins in the xy-plane.
There is no coin at point (x,y) where 1\leq i\leq H,1\leq j\leq W does not hold. There is also no coin at point (x,y) where x or y (or both) is not an integer. Additionally, two or more coins never exist at the same point.
Find the number of triples of different coins that satisfy the following condition:
* Choosing any two of the three coins would result in the same Manhattan distance between the points where they exist.
Here, the Manhattan distance between points (x,y) and (x',y') is |x-x'|+|y-y'|. Two triples are considered the same if the only difference between them is the order of the coins.
Constraints
* 1 \leq H,W \leq 300
* s_{ij} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{11}...s_{1W}
:
s_{H1}...s_{HW}
Output
Print the number of triples that satisfy the condition.
Examples
Input
5 4
#.##
.##.
#...
..##
...#
Output
3
Input
5 4
.##
.##.
...
..##
...#
Output
3
Input
13 27
......#.........#.......#..
...#.....###..
..............#####...##...
...#######......#...#######
...#.....#.....###...#...#.
...#######....#.#.#.#.###.#
..............#.#.#...#.#..
.#.#.#...###..
...........#...#...#######
..#######..#...#...#.....#
..#.....#..#...#...#.###.#
..#######..#...#...#.#.#.#
..........##...#...#.#####
Output
870 | import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.*;
public class Main{
static void solve(){
int h = ni(), w=ni();
int H = w+h+1, W=h+w+1;
int[][] cnt = new int[H][W];
int[][] cnty=new int[H][W];
long ans =0;
Map<Integer, List<Integer> > ytox=new HashMap<>();
Map<Integer, List<Integer> > xtoy= new HashMap<>();
for(int i=0;i<h;++i){
String s = ns();
for(int j=0;j<w;++j)if(s.charAt(j)=='#'){
int y=j-i+h+1, x=i+j+1;
cnt[y][x]++;
cnty[y][x]++;
if(!ytox.containsKey(y))ytox.put(y, new ArrayList<>());
ytox.get(y).add(x);
if(!xtoy.containsKey(x))xtoy.put(x, new ArrayList<>());
xtoy.get(x).add(y);
}
}
for(int i=0;i<H;++i)for(int j=1;j<W;++j)cnt[i][j]+=cnt[i][j-1];
for(int j=0;j<W;++j)for(int i=1;i<H;++i)cnty[i][j]+=cnty[i-1][j];
for(Map.Entry<Integer, List<Integer>> entry: ytox.entrySet()){
List<Integer> list = entry.getValue();
Collections.sort(list);
int y = entry.getKey();
for(int i=0;i<list.size()-1;++i){
for(int j=i+1;j<list.size();++j){
int d = Math.abs(list.get(i)-list.get(j));
if(inrange(y+d, list.get(i), H, W))ans+=(long)(cnt[y+d][list.get(j)]-cnt[y+d][list.get(i)-1]);
if(inrange(y-d, list.get(i), H, W))ans+=(long)(cnt[y-d][list.get(j)]-cnt[y-d][list.get(i)-1]);
}
}
}
for(Map.Entry<Integer, List<Integer>> entry: xtoy.entrySet()){
List<Integer> list = entry.getValue();
Collections.sort(list);
int x = entry.getKey();
for(int i=0;i<list.size()-1;++i){
for(int j=i+1;j<list.size();++j){
int d = Math.abs(list.get(i)-list.get(j));
if(inrange(list.get(i), x-d, H, W))ans+=(long)(cnty[list.get(j)-1][x-d]-cnty[list.get(i)][x-d]);
if(inrange(list.get(i), x+d, H, W))ans+=(long)(cnty[list.get(j)-1][x+d]-cnty[list.get(i)][x+d]);
}
}
}
out.println(ans);
}
public static void main(String[] args){
solve();
out.flush();
}
private static InputStream in = System.in;
private static PrintWriter out = new PrintWriter(System.out);
static boolean inrange(int y, int x, int h, int w){
return y>=0 && y<h && x>=0 && x<w;
}
@SuppressWarnings("unchecked")
static<T extends Comparable> int lower_bound(List<T> list, T key){
int lower=-1;int upper=list.size();
while(upper - lower>1){
int center =(upper+lower)/2;
if(list.get(center).compareTo(key)>=0)upper=center;
else lower=center;
}
return upper;
}
@SuppressWarnings("unchecked")
static <T extends Comparable> int upper_bound(List<T> list, T key){
int lower=-1;int upper=list.size();
while(upper-lower >1){
int center=(upper+lower)/2;
if(list.get(center).compareTo(key)>0)upper=center;
else lower=center;
}
return upper;
}
@SuppressWarnings("unchecked")
static <T extends Comparable> boolean next_permutation(List<T> list){
int lastIndex = list.size()-2;
while(lastIndex>=0 && list.get(lastIndex).compareTo(list.get(lastIndex+1))>=0)--lastIndex;
if(lastIndex<0)return false;
int swapIndex = list.size()-1;
while(list.get(lastIndex).compareTo(list.get(swapIndex))>=0)swapIndex--;
T tmp = list.get(lastIndex);
list.set(lastIndex++, list.get(swapIndex));
list.set(swapIndex, tmp);
swapIndex = list.size()-1;
while(lastIndex<swapIndex){
tmp = list.get(lastIndex);
list.set(lastIndex, list.get(swapIndex));
list.set(swapIndex, tmp);
++lastIndex;--swapIndex;
}
return true;
}
private static final byte[] buffer = new byte[1<<15];
private static int ptr = 0;
private static int buflen = 0;
private static boolean hasNextByte(){
if(ptr<buflen)return true;
ptr = 0;
try{
buflen = in.read(buffer);
} catch (IOException e){
e.printStackTrace();
}
return buflen>0;
}
private static int readByte(){ if(hasNextByte()) return buffer[ptr++]; else return -1;}
private static boolean isSpaceChar(int c){ return !(33<=c && c<=126);}
private static int skip(){int res; while((res=readByte())!=-1 && isSpaceChar(res)); return res;}
private static double nd(){ return Double.parseDouble(ns()); }
private static char nc(){ return (char)skip(); }
private static String ns(){
StringBuilder sb = new StringBuilder();
for(int b=skip();!isSpaceChar(b);b=readByte())sb.append((char)b);
return sb.toString();
}
private static int[] nia(int n){
int[] res = new int[n];
for(int i=0;i<n;++i)res[i]=ni();
return res;
}
private static long[] nla(int n){
long[] res = new long[n];
for(int i=0;i<n;++i)res[i]=nl();
return res;
}
private static int ni(){
int res=0,b;
boolean minus=false;
while((b=readByte())!=-1 && !((b>='0'&&b<='9') || b=='-'));
if(b=='-'){
minus=true;
b=readByte();
}
for(;'0'<=b&&b<='9';b=readByte())res=res*10+(b-'0');
return minus ? -res:res;
}
private static long nl(){
long res=0,b;
boolean minus=false;
while((b=readByte())!=-1 && !((b>='0'&&b<='9') || b=='-'));
if(b=='-'){
minus=true;
b=readByte();
}
for(;'0'<=b&&b<='9';b=readByte())res=res*10+(b-'0');
return minus ? -res:res;
}
}
| 4JAVA
| {
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"13 30\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#...#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n#.###.#...#...#..#.....#..\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.#####",
"3 6\n-##\n.$#.\n.0-\n##..\n#...",
"11 0\n#/$#\n.##-\n#-./\n..$#\n#.//",
"3 6\n-##\n.$#.\n.0-\n##..\n#/..",
"11 0\n#/$#\n.##-\n#-./\n..$#\n#./.",
"13 30\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#./.#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#.....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.#####",
"3 6\n-##\n.$#.\n-0.\n##..\n#/..",
"21 0\n#/$#\n.##-\n#-./\n..$#\n#./.",
"13 30\n../..-#...-.....#......-#..\n...#.....###..\n...\"#...#####-......./.....\n...######.....#.#...#######\n...#.....#.....###...#-..#.\n#.###.#.#.#.#....#######...\n......../.....#.#.#...#.#..\n.#.#.#./.#$#..\n#######...#...#...../../..\n..####.##..#...#..##.....#\n..#/....#..#...#...#.###.#\n..#######..#...#./.#.#.#.#\n..../.....##...#...#.#####",
"3 6\n-##\n.$#.\n-0.\n##..\n#/./",
"21 0\n#/$#\n.##-\n#/.-\n..$#\n#./.",
"3 6\n-##\n.$#.\n0.4364069664817982\n##..\n#/./",
"35 0\n#/$#\n.##-\n#/.-\n..$#\n#./.",
"3 6\n-##\n.$#.\n0.4364069664817982\n##..\n./#/"
],
"output": [
"3",
"870",
"3",
"3\n",
"583\n",
"0\n",
"1\n",
"476\n",
"187\n",
"2\n",
"565\n",
"528\n",
"530\n",
"157\n",
"159\n",
"138\n",
"481\n",
"465\n",
"460\n",
"461\n",
"453\n",
"442\n",
"398\n",
"389\n",
"401\n",
"435\n",
"469\n",
"0\n",
"1\n",
"0\n",
"3\n",
"187\n",
"0\n",
"3\n",
"583\n",
"0\n",
"3\n",
"583\n",
"0\n",
"0\n",
"3\n",
"565\n",
"0\n",
"3\n",
"565\n",
"0\n",
"3\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"157\n",
"0\n",
"0\n",
"0\n",
"0\n",
"159\n",
"0\n",
"0\n",
"159\n",
"0\n",
"0\n",
"159\n",
"0\n",
"0\n",
"0\n",
"0\n",
"138\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"465\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"461\n",
"0\n",
"0\n",
"461\n",
"0\n",
"0\n",
"461\n",
"0\n",
"0\n",
"0\n",
"0\n",
"453\n",
"0\n",
"0\n",
"453\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 5ATCODER
|
p03371 AtCoder Beginner Contest 095 - Half and Half_1408 | "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively.
Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas.
Constraints
* 1 ≤ A, B, C ≤ 5000
* 1 ≤ X, Y ≤ 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
A B C X Y
Output
Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas.
Examples
Input
1500 2000 1600 3 2
Output
7900
Input
1500 2000 1900 3 2
Output
8500
Input
1500 2000 500 90000 100000
Output
100000000 | A, B, C, X, Y = [int(x) for x in raw_input().split()]
s = 0
p = min(X, Y)
X -= p
Y -= p
s += p * min(A+B, 2*C)
s += X * min(A, 2*C)
s += Y * min(B, 2*C)
print s | 1Python2
| {
"input": [
"1500 2000 1600 3 2",
"1500 2000 500 90000 100000",
"1500 2000 1900 3 2",
"1500 1572 1600 3 2",
"1500 2445 500 90000 100000",
"1500 2000 1615 3 2",
"1500 1572 1600 0 2",
"1500 2000 1166 3 2",
"1500 651 1600 0 2",
"1500 3132 752 90000 100000",
"1500 2000 1343 3 2",
"1500 2000 1343 3 3",
"1339 651 1600 0 1",
"542 2000 1343 3 3",
"1339 1142 1600 0 1",
"542 2000 1343 5 3",
"1339 1142 1600 0 2",
"542 2000 841 5 3",
"1339 1142 1600 0 4",
"1339 422 1600 0 4",
"1339 290 1600 0 4",
"778 2000 2830 5 3",
"778 1881 2830 5 3",
"1339 290 1999 1 4",
"1297 1881 2383 5 3",
"2595 290 1999 1 4",
"1297 1368 1708 5 3",
"2595 290 2334 1 8",
"1297 886 1708 5 3",
"4369 290 2334 1 8",
"1297 632 1708 5 3",
"1626 632 1708 5 3",
"4369 290 2668 0 8",
"1626 165 1708 5 3",
"1626 8 1708 5 3",
"1908 8 1708 5 3",
"1908 8 144 5 3",
"251 8 144 5 2",
"251 8 144 6 2",
"251 8 144 6 3",
"251 8 117 6 3",
"251 8 86 6 3",
"251 6 75 6 3",
"251 6 75 1 3",
"251 6 75 1 6",
"124 6 75 1 6",
"124 6 6 1 6",
"124 6 6 1 12",
"115 7 6 1 12",
"115 1 6 1 12",
"115 1 9 1 12",
"104 1 16 1 12",
"104 2 16 1 12",
"97 3 16 1 12",
"97 1 16 1 14",
"97 1 25 1 14",
"97 1 26 1 17",
"97 2 26 1 17",
"97 2 21 1 17",
"97 2 21 1 8",
"75 2 43 1 1",
"75 1 43 1 1",
"75 1 43 2 1",
"0 1 43 2 1",
"0 1 8 2 0",
"1 1 8 2 0",
"1 1 8 4 0",
"336 2000 1600 3 2",
"1500 3495 1900 3 2",
"1839 1572 1600 3 2",
"1500 2445 118 90000 100000",
"1500 965 1600 0 2",
"1500 3132 574 90000 100000",
"1500 2000 1166 0 2",
"1500 218 1600 0 2",
"1985 2000 1343 3 2",
"1500 2000 2264 3 3",
"1143 3132 1087 90000 100000",
"542 2000 1343 3 0",
"1339 120 1600 0 1",
"1928 3132 265 90000 100000",
"542 2000 1343 8 3",
"1339 1142 1600 1 2",
"542 2000 841 7 3",
"542 1406 1489 5 3",
"542 120 2830 5 3",
"778 2000 2830 5 1",
"1339 290 1874 0 5",
"778 1881 2830 5 0",
"778 1881 2383 5 5",
"1464 290 1999 1 4",
"1297 2556 2383 5 3",
"1717 290 1999 1 4",
"1297 1881 1708 10 3",
"2595 290 2334 1 2",
"2595 272 2334 1 8",
"1297 886 1708 5 6",
"4369 106 2334 1 8",
"1297 632 1708 5 5",
"4369 549 2668 1 8",
"1626 632 1708 8 3",
"4369 290 2668 0 1",
"1626 165 681 5 3"
],
"output": [
"7900",
"100000000",
"8500",
"7644\n",
"100000000\n",
"7960\n",
"3144\n",
"6164\n",
"1302\n",
"150400000\n",
"6872\n",
"8058\n",
"651\n",
"7626\n",
"1142\n",
"8710\n",
"2284\n",
"6130\n",
"4568\n",
"1688\n",
"1160\n",
"9890\n",
"9533\n",
"2499\n",
"12128\n",
"3755\n",
"10589\n",
"4915\n",
"9143\n",
"6689\n",
"8381\n",
"10026\n",
"2320\n",
"8625\n",
"8154\n",
"9564\n",
"1440\n",
"1271\n",
"1522\n",
"1530\n",
"1404\n",
"1032\n",
"900\n",
"162\n",
"180\n",
"160\n",
"42\n",
"78\n",
"89\n",
"23\n",
"29\n",
"43\n",
"54\n",
"65\n",
"45\n",
"63\n",
"68\n",
"84\n",
"74\n",
"56\n",
"77\n",
"76\n",
"151\n",
"1\n",
"0\n",
"2\n",
"4\n",
"5008\n",
"9100\n",
"8239\n",
"23600000\n",
"1930\n",
"114800000\n",
"4000\n",
"436\n",
"7357\n",
"10500\n",
"217400000\n",
"1626\n",
"120\n",
"53000000\n",
"10336\n",
"3623\n",
"7214\n",
"6928\n",
"3070\n",
"5890\n",
"1450\n",
"3890\n",
"13295\n",
"2624\n",
"14153\n",
"2877\n",
"18613\n",
"3175\n",
"4771\n",
"11801\n",
"5217\n",
"9645\n",
"8761\n",
"14904\n",
"290\n",
"6810\n"
]
} | 5ATCODER
|
p03371 AtCoder Beginner Contest 095 - Half and Half_1409 | "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively.
Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas.
Constraints
* 1 ≤ A, B, C ≤ 5000
* 1 ≤ X, Y ≤ 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
A B C X Y
Output
Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas.
Examples
Input
1500 2000 1600 3 2
Output
7900
Input
1500 2000 1900 3 2
Output
8500
Input
1500 2000 500 90000 100000
Output
100000000 | #include <iostream>
#include <algorithm>
using namespace std;
int main(){
int A,B,C,X,Y,ans=0;
cin >> A >> B >> C >> X >> Y;
if(A+B<2*C){
ans=X*A+Y*B;
}else{
ans=min(X,Y)*C*2+max(X-Y,0)*min(A,2*C)+max(Y-X,0)*min(B,2*C);
}
cout << ans << endl;
} | 2C++
| {
"input": [
"1500 2000 1600 3 2",
"1500 2000 500 90000 100000",
"1500 2000 1900 3 2",
"1500 1572 1600 3 2",
"1500 2445 500 90000 100000",
"1500 2000 1615 3 2",
"1500 1572 1600 0 2",
"1500 2000 1166 3 2",
"1500 651 1600 0 2",
"1500 3132 752 90000 100000",
"1500 2000 1343 3 2",
"1500 2000 1343 3 3",
"1339 651 1600 0 1",
"542 2000 1343 3 3",
"1339 1142 1600 0 1",
"542 2000 1343 5 3",
"1339 1142 1600 0 2",
"542 2000 841 5 3",
"1339 1142 1600 0 4",
"1339 422 1600 0 4",
"1339 290 1600 0 4",
"778 2000 2830 5 3",
"778 1881 2830 5 3",
"1339 290 1999 1 4",
"1297 1881 2383 5 3",
"2595 290 1999 1 4",
"1297 1368 1708 5 3",
"2595 290 2334 1 8",
"1297 886 1708 5 3",
"4369 290 2334 1 8",
"1297 632 1708 5 3",
"1626 632 1708 5 3",
"4369 290 2668 0 8",
"1626 165 1708 5 3",
"1626 8 1708 5 3",
"1908 8 1708 5 3",
"1908 8 144 5 3",
"251 8 144 5 2",
"251 8 144 6 2",
"251 8 144 6 3",
"251 8 117 6 3",
"251 8 86 6 3",
"251 6 75 6 3",
"251 6 75 1 3",
"251 6 75 1 6",
"124 6 75 1 6",
"124 6 6 1 6",
"124 6 6 1 12",
"115 7 6 1 12",
"115 1 6 1 12",
"115 1 9 1 12",
"104 1 16 1 12",
"104 2 16 1 12",
"97 3 16 1 12",
"97 1 16 1 14",
"97 1 25 1 14",
"97 1 26 1 17",
"97 2 26 1 17",
"97 2 21 1 17",
"97 2 21 1 8",
"75 2 43 1 1",
"75 1 43 1 1",
"75 1 43 2 1",
"0 1 43 2 1",
"0 1 8 2 0",
"1 1 8 2 0",
"1 1 8 4 0",
"336 2000 1600 3 2",
"1500 3495 1900 3 2",
"1839 1572 1600 3 2",
"1500 2445 118 90000 100000",
"1500 965 1600 0 2",
"1500 3132 574 90000 100000",
"1500 2000 1166 0 2",
"1500 218 1600 0 2",
"1985 2000 1343 3 2",
"1500 2000 2264 3 3",
"1143 3132 1087 90000 100000",
"542 2000 1343 3 0",
"1339 120 1600 0 1",
"1928 3132 265 90000 100000",
"542 2000 1343 8 3",
"1339 1142 1600 1 2",
"542 2000 841 7 3",
"542 1406 1489 5 3",
"542 120 2830 5 3",
"778 2000 2830 5 1",
"1339 290 1874 0 5",
"778 1881 2830 5 0",
"778 1881 2383 5 5",
"1464 290 1999 1 4",
"1297 2556 2383 5 3",
"1717 290 1999 1 4",
"1297 1881 1708 10 3",
"2595 290 2334 1 2",
"2595 272 2334 1 8",
"1297 886 1708 5 6",
"4369 106 2334 1 8",
"1297 632 1708 5 5",
"4369 549 2668 1 8",
"1626 632 1708 8 3",
"4369 290 2668 0 1",
"1626 165 681 5 3"
],
"output": [
"7900",
"100000000",
"8500",
"7644\n",
"100000000\n",
"7960\n",
"3144\n",
"6164\n",
"1302\n",
"150400000\n",
"6872\n",
"8058\n",
"651\n",
"7626\n",
"1142\n",
"8710\n",
"2284\n",
"6130\n",
"4568\n",
"1688\n",
"1160\n",
"9890\n",
"9533\n",
"2499\n",
"12128\n",
"3755\n",
"10589\n",
"4915\n",
"9143\n",
"6689\n",
"8381\n",
"10026\n",
"2320\n",
"8625\n",
"8154\n",
"9564\n",
"1440\n",
"1271\n",
"1522\n",
"1530\n",
"1404\n",
"1032\n",
"900\n",
"162\n",
"180\n",
"160\n",
"42\n",
"78\n",
"89\n",
"23\n",
"29\n",
"43\n",
"54\n",
"65\n",
"45\n",
"63\n",
"68\n",
"84\n",
"74\n",
"56\n",
"77\n",
"76\n",
"151\n",
"1\n",
"0\n",
"2\n",
"4\n",
"5008\n",
"9100\n",
"8239\n",
"23600000\n",
"1930\n",
"114800000\n",
"4000\n",
"436\n",
"7357\n",
"10500\n",
"217400000\n",
"1626\n",
"120\n",
"53000000\n",
"10336\n",
"3623\n",
"7214\n",
"6928\n",
"3070\n",
"5890\n",
"1450\n",
"3890\n",
"13295\n",
"2624\n",
"14153\n",
"2877\n",
"18613\n",
"3175\n",
"4771\n",
"11801\n",
"5217\n",
"9645\n",
"8761\n",
"14904\n",
"290\n",
"6810\n"
]
} | 5ATCODER
|
p03371 AtCoder Beginner Contest 095 - Half and Half_1410 | "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively.
Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas.
Constraints
* 1 ≤ A, B, C ≤ 5000
* 1 ≤ X, Y ≤ 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
A B C X Y
Output
Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas.
Examples
Input
1500 2000 1600 3 2
Output
7900
Input
1500 2000 1900 3 2
Output
8500
Input
1500 2000 500 90000 100000
Output
100000000 | a, b, c, x, y = map(int, input().split())
print(min(a*x+b*y, c*2*max(x,y), c*2*min(x,y)+abs(x-y)*(a if x>y else b))) | 3Python3
| {
"input": [
"1500 2000 1600 3 2",
"1500 2000 500 90000 100000",
"1500 2000 1900 3 2",
"1500 1572 1600 3 2",
"1500 2445 500 90000 100000",
"1500 2000 1615 3 2",
"1500 1572 1600 0 2",
"1500 2000 1166 3 2",
"1500 651 1600 0 2",
"1500 3132 752 90000 100000",
"1500 2000 1343 3 2",
"1500 2000 1343 3 3",
"1339 651 1600 0 1",
"542 2000 1343 3 3",
"1339 1142 1600 0 1",
"542 2000 1343 5 3",
"1339 1142 1600 0 2",
"542 2000 841 5 3",
"1339 1142 1600 0 4",
"1339 422 1600 0 4",
"1339 290 1600 0 4",
"778 2000 2830 5 3",
"778 1881 2830 5 3",
"1339 290 1999 1 4",
"1297 1881 2383 5 3",
"2595 290 1999 1 4",
"1297 1368 1708 5 3",
"2595 290 2334 1 8",
"1297 886 1708 5 3",
"4369 290 2334 1 8",
"1297 632 1708 5 3",
"1626 632 1708 5 3",
"4369 290 2668 0 8",
"1626 165 1708 5 3",
"1626 8 1708 5 3",
"1908 8 1708 5 3",
"1908 8 144 5 3",
"251 8 144 5 2",
"251 8 144 6 2",
"251 8 144 6 3",
"251 8 117 6 3",
"251 8 86 6 3",
"251 6 75 6 3",
"251 6 75 1 3",
"251 6 75 1 6",
"124 6 75 1 6",
"124 6 6 1 6",
"124 6 6 1 12",
"115 7 6 1 12",
"115 1 6 1 12",
"115 1 9 1 12",
"104 1 16 1 12",
"104 2 16 1 12",
"97 3 16 1 12",
"97 1 16 1 14",
"97 1 25 1 14",
"97 1 26 1 17",
"97 2 26 1 17",
"97 2 21 1 17",
"97 2 21 1 8",
"75 2 43 1 1",
"75 1 43 1 1",
"75 1 43 2 1",
"0 1 43 2 1",
"0 1 8 2 0",
"1 1 8 2 0",
"1 1 8 4 0",
"336 2000 1600 3 2",
"1500 3495 1900 3 2",
"1839 1572 1600 3 2",
"1500 2445 118 90000 100000",
"1500 965 1600 0 2",
"1500 3132 574 90000 100000",
"1500 2000 1166 0 2",
"1500 218 1600 0 2",
"1985 2000 1343 3 2",
"1500 2000 2264 3 3",
"1143 3132 1087 90000 100000",
"542 2000 1343 3 0",
"1339 120 1600 0 1",
"1928 3132 265 90000 100000",
"542 2000 1343 8 3",
"1339 1142 1600 1 2",
"542 2000 841 7 3",
"542 1406 1489 5 3",
"542 120 2830 5 3",
"778 2000 2830 5 1",
"1339 290 1874 0 5",
"778 1881 2830 5 0",
"778 1881 2383 5 5",
"1464 290 1999 1 4",
"1297 2556 2383 5 3",
"1717 290 1999 1 4",
"1297 1881 1708 10 3",
"2595 290 2334 1 2",
"2595 272 2334 1 8",
"1297 886 1708 5 6",
"4369 106 2334 1 8",
"1297 632 1708 5 5",
"4369 549 2668 1 8",
"1626 632 1708 8 3",
"4369 290 2668 0 1",
"1626 165 681 5 3"
],
"output": [
"7900",
"100000000",
"8500",
"7644\n",
"100000000\n",
"7960\n",
"3144\n",
"6164\n",
"1302\n",
"150400000\n",
"6872\n",
"8058\n",
"651\n",
"7626\n",
"1142\n",
"8710\n",
"2284\n",
"6130\n",
"4568\n",
"1688\n",
"1160\n",
"9890\n",
"9533\n",
"2499\n",
"12128\n",
"3755\n",
"10589\n",
"4915\n",
"9143\n",
"6689\n",
"8381\n",
"10026\n",
"2320\n",
"8625\n",
"8154\n",
"9564\n",
"1440\n",
"1271\n",
"1522\n",
"1530\n",
"1404\n",
"1032\n",
"900\n",
"162\n",
"180\n",
"160\n",
"42\n",
"78\n",
"89\n",
"23\n",
"29\n",
"43\n",
"54\n",
"65\n",
"45\n",
"63\n",
"68\n",
"84\n",
"74\n",
"56\n",
"77\n",
"76\n",
"151\n",
"1\n",
"0\n",
"2\n",
"4\n",
"5008\n",
"9100\n",
"8239\n",
"23600000\n",
"1930\n",
"114800000\n",
"4000\n",
"436\n",
"7357\n",
"10500\n",
"217400000\n",
"1626\n",
"120\n",
"53000000\n",
"10336\n",
"3623\n",
"7214\n",
"6928\n",
"3070\n",
"5890\n",
"1450\n",
"3890\n",
"13295\n",
"2624\n",
"14153\n",
"2877\n",
"18613\n",
"3175\n",
"4771\n",
"11801\n",
"5217\n",
"9645\n",
"8761\n",
"14904\n",
"290\n",
"6810\n"
]
} | 5ATCODER
|
p03371 AtCoder Beginner Contest 095 - Half and Half_1411 | "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively.
Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas.
Constraints
* 1 ≤ A, B, C ≤ 5000
* 1 ≤ X, Y ≤ 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
A B C X Y
Output
Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas.
Examples
Input
1500 2000 1600 3 2
Output
7900
Input
1500 2000 1900 3 2
Output
8500
Input
1500 2000 500 90000 100000
Output
100000000 | import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
Scanner sc = new Scanner(System.in);
int a = sc.nextInt();
int b = sc.nextInt();
int c = sc.nextInt();
int x = sc.nextInt();
int y = sc.nextInt();
long ans = 0;
int min = Math.min(x,y);
if(a+b >= c*2){
ans += min * 2 * c;
}else{
ans += min * (a + b);
}
x -= min;
y -= min;
if(x > 0){
ans += Math.min(a,c*2) * x;
}else if(y > 0){
ans += Math.min(b,c*2) * y;
}
System.out.println(ans);
}
}
| 4JAVA
| {
"input": [
"1500 2000 1600 3 2",
"1500 2000 500 90000 100000",
"1500 2000 1900 3 2",
"1500 1572 1600 3 2",
"1500 2445 500 90000 100000",
"1500 2000 1615 3 2",
"1500 1572 1600 0 2",
"1500 2000 1166 3 2",
"1500 651 1600 0 2",
"1500 3132 752 90000 100000",
"1500 2000 1343 3 2",
"1500 2000 1343 3 3",
"1339 651 1600 0 1",
"542 2000 1343 3 3",
"1339 1142 1600 0 1",
"542 2000 1343 5 3",
"1339 1142 1600 0 2",
"542 2000 841 5 3",
"1339 1142 1600 0 4",
"1339 422 1600 0 4",
"1339 290 1600 0 4",
"778 2000 2830 5 3",
"778 1881 2830 5 3",
"1339 290 1999 1 4",
"1297 1881 2383 5 3",
"2595 290 1999 1 4",
"1297 1368 1708 5 3",
"2595 290 2334 1 8",
"1297 886 1708 5 3",
"4369 290 2334 1 8",
"1297 632 1708 5 3",
"1626 632 1708 5 3",
"4369 290 2668 0 8",
"1626 165 1708 5 3",
"1626 8 1708 5 3",
"1908 8 1708 5 3",
"1908 8 144 5 3",
"251 8 144 5 2",
"251 8 144 6 2",
"251 8 144 6 3",
"251 8 117 6 3",
"251 8 86 6 3",
"251 6 75 6 3",
"251 6 75 1 3",
"251 6 75 1 6",
"124 6 75 1 6",
"124 6 6 1 6",
"124 6 6 1 12",
"115 7 6 1 12",
"115 1 6 1 12",
"115 1 9 1 12",
"104 1 16 1 12",
"104 2 16 1 12",
"97 3 16 1 12",
"97 1 16 1 14",
"97 1 25 1 14",
"97 1 26 1 17",
"97 2 26 1 17",
"97 2 21 1 17",
"97 2 21 1 8",
"75 2 43 1 1",
"75 1 43 1 1",
"75 1 43 2 1",
"0 1 43 2 1",
"0 1 8 2 0",
"1 1 8 2 0",
"1 1 8 4 0",
"336 2000 1600 3 2",
"1500 3495 1900 3 2",
"1839 1572 1600 3 2",
"1500 2445 118 90000 100000",
"1500 965 1600 0 2",
"1500 3132 574 90000 100000",
"1500 2000 1166 0 2",
"1500 218 1600 0 2",
"1985 2000 1343 3 2",
"1500 2000 2264 3 3",
"1143 3132 1087 90000 100000",
"542 2000 1343 3 0",
"1339 120 1600 0 1",
"1928 3132 265 90000 100000",
"542 2000 1343 8 3",
"1339 1142 1600 1 2",
"542 2000 841 7 3",
"542 1406 1489 5 3",
"542 120 2830 5 3",
"778 2000 2830 5 1",
"1339 290 1874 0 5",
"778 1881 2830 5 0",
"778 1881 2383 5 5",
"1464 290 1999 1 4",
"1297 2556 2383 5 3",
"1717 290 1999 1 4",
"1297 1881 1708 10 3",
"2595 290 2334 1 2",
"2595 272 2334 1 8",
"1297 886 1708 5 6",
"4369 106 2334 1 8",
"1297 632 1708 5 5",
"4369 549 2668 1 8",
"1626 632 1708 8 3",
"4369 290 2668 0 1",
"1626 165 681 5 3"
],
"output": [
"7900",
"100000000",
"8500",
"7644\n",
"100000000\n",
"7960\n",
"3144\n",
"6164\n",
"1302\n",
"150400000\n",
"6872\n",
"8058\n",
"651\n",
"7626\n",
"1142\n",
"8710\n",
"2284\n",
"6130\n",
"4568\n",
"1688\n",
"1160\n",
"9890\n",
"9533\n",
"2499\n",
"12128\n",
"3755\n",
"10589\n",
"4915\n",
"9143\n",
"6689\n",
"8381\n",
"10026\n",
"2320\n",
"8625\n",
"8154\n",
"9564\n",
"1440\n",
"1271\n",
"1522\n",
"1530\n",
"1404\n",
"1032\n",
"900\n",
"162\n",
"180\n",
"160\n",
"42\n",
"78\n",
"89\n",
"23\n",
"29\n",
"43\n",
"54\n",
"65\n",
"45\n",
"63\n",
"68\n",
"84\n",
"74\n",
"56\n",
"77\n",
"76\n",
"151\n",
"1\n",
"0\n",
"2\n",
"4\n",
"5008\n",
"9100\n",
"8239\n",
"23600000\n",
"1930\n",
"114800000\n",
"4000\n",
"436\n",
"7357\n",
"10500\n",
"217400000\n",
"1626\n",
"120\n",
"53000000\n",
"10336\n",
"3623\n",
"7214\n",
"6928\n",
"3070\n",
"5890\n",
"1450\n",
"3890\n",
"13295\n",
"2624\n",
"14153\n",
"2877\n",
"18613\n",
"3175\n",
"4771\n",
"11801\n",
"5217\n",
"9645\n",
"8761\n",
"14904\n",
"290\n",
"6810\n"
]
} | 5ATCODER
|
p03534 CODE FESTIVAL 2017 Final (Parallel) - Palindrome-phobia_1412 | Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES | s = raw_input().strip()
t = {c: 0 for c in "abc"}
for c in s:
t[c] += 1
print "YES" if max(t.values()) - min(t.values()) <= 1 else "NO" | 1Python2
| {
"input": [
"aba",
"abac",
"babacccabab",
"acac",
"bacaccbabab",
"ccaa",
"bacaacbcbab",
"babcbcaacab",
"bababccacab",
"bacaccbabac",
"bacaccbaaac",
"caaabccacab",
"caaaaccacab",
"bacaccaaaac",
"baa",
"caba",
"babacccbaab",
"aacc",
"bacabcbabab",
"bacaacccbab",
"babcbbaacab",
"aacaccbabac",
"caabaccacab",
"bbcaccbaaac",
"bba",
"caca",
"aabacccbaab",
"bacabcbaaab",
"aacaacccbab",
"babcbbbacab",
"aacaccbaaac",
"caabaccbcab",
"caaabccacbb",
"bab",
"acca",
"bacabccaaab",
"babcccaacaa",
"bacabbbcbab",
"caaabccacaa",
"baaabccacbb",
"bbb",
"acba",
"bacacccaaab",
"bacabbbcbba",
"ccaabacacaa",
"baaabccacab",
"abb",
"aabc",
"baaacccacab",
"abbcbbbacab",
"ccaabacbcaa",
"bacaccbaaab",
"abc",
"cbaa",
"aacbcabaacc",
"aacaccbaaab",
"cba",
"cbab",
"aaabcabcacc",
"aacaccaaaab",
"bca",
"cbac",
"ccacbacbaaa",
"aaaaccaaacb",
"bac",
"cabc",
"aaaabcaaacb",
"acb",
"cacb",
"aaaabcbaacb",
"cca",
"bcac",
"bcaabcbaaaa",
"acc",
"bcab",
"bbaaccbaaaa",
"bcc",
"acbb",
"aaaabccaabb",
"ccb",
"bbca",
"bbaaccbbaaa",
"cbc",
"bbcb",
"bbaaacbbaca",
"bbc",
"bcbb",
"bbaaacbbaba",
"aca",
"bcba",
"aabacccabab",
"ccab",
"bbacbcaacab",
"cacaccbaaac",
"aacaccbabca",
"caaaaccacaa",
"caa",
"baca",
"babacccbaaa",
"bcbcbbaaaab",
"aacacccabac",
"baabaccbcab",
"abcaccbaaac"
],
"output": [
"NO",
"YES",
"YES",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n"
]
} | 5ATCODER
|
p03534 CODE FESTIVAL 2017 Final (Parallel) - Palindrome-phobia_1413 | Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES | #include<bits/stdc++.h>
using namespace std;
int main(){
int a=0,b=0,c=0;
string S;
cin>>S;
int n = S.length();
for(int i=0;i<n;i++){
int val = S[i] - 'a';
if(val==0) a++;
if(val==1) b++;
if(val==2) c++;
}
int ab = abs(a-b);
int bc = abs(b-c);
int ca = abs(c-a);
if(ab<2 && bc<2 && ca<2){
cout<<"YES"<<endl;
}
else{
cout<<"NO"<<endl;
}
return 0;
}
| 2C++
| {
"input": [
"aba",
"abac",
"babacccabab",
"acac",
"bacaccbabab",
"ccaa",
"bacaacbcbab",
"babcbcaacab",
"bababccacab",
"bacaccbabac",
"bacaccbaaac",
"caaabccacab",
"caaaaccacab",
"bacaccaaaac",
"baa",
"caba",
"babacccbaab",
"aacc",
"bacabcbabab",
"bacaacccbab",
"babcbbaacab",
"aacaccbabac",
"caabaccacab",
"bbcaccbaaac",
"bba",
"caca",
"aabacccbaab",
"bacabcbaaab",
"aacaacccbab",
"babcbbbacab",
"aacaccbaaac",
"caabaccbcab",
"caaabccacbb",
"bab",
"acca",
"bacabccaaab",
"babcccaacaa",
"bacabbbcbab",
"caaabccacaa",
"baaabccacbb",
"bbb",
"acba",
"bacacccaaab",
"bacabbbcbba",
"ccaabacacaa",
"baaabccacab",
"abb",
"aabc",
"baaacccacab",
"abbcbbbacab",
"ccaabacbcaa",
"bacaccbaaab",
"abc",
"cbaa",
"aacbcabaacc",
"aacaccbaaab",
"cba",
"cbab",
"aaabcabcacc",
"aacaccaaaab",
"bca",
"cbac",
"ccacbacbaaa",
"aaaaccaaacb",
"bac",
"cabc",
"aaaabcaaacb",
"acb",
"cacb",
"aaaabcbaacb",
"cca",
"bcac",
"bcaabcbaaaa",
"acc",
"bcab",
"bbaaccbaaaa",
"bcc",
"acbb",
"aaaabccaabb",
"ccb",
"bbca",
"bbaaccbbaaa",
"cbc",
"bbcb",
"bbaaacbbaca",
"bbc",
"bcbb",
"bbaaacbbaba",
"aca",
"bcba",
"aabacccabab",
"ccab",
"bbacbcaacab",
"cacaccbaaac",
"aacaccbabca",
"caaaaccacaa",
"caa",
"baca",
"babacccbaaa",
"bcbcbbaaaab",
"aacacccabac",
"baabaccbcab",
"abcaccbaaac"
],
"output": [
"NO",
"YES",
"YES",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n"
]
} | 5ATCODER
|
p03534 CODE FESTIVAL 2017 Final (Parallel) - Palindrome-phobia_1414 | Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES | s=input()
from collections import defaultdict
d=defaultdict(int)
for c in s:
d[c]+=1
a,b,c=d["a"],d["b"],d["c"]
mx=max(a,b,c)
mn=min(a,b,c)
#a,b,c = map(lambda x:x-mn, [a,b,c])
if mx-mn >=2:
print("NO")
else:
print("YES") | 3Python3
| {
"input": [
"aba",
"abac",
"babacccabab",
"acac",
"bacaccbabab",
"ccaa",
"bacaacbcbab",
"babcbcaacab",
"bababccacab",
"bacaccbabac",
"bacaccbaaac",
"caaabccacab",
"caaaaccacab",
"bacaccaaaac",
"baa",
"caba",
"babacccbaab",
"aacc",
"bacabcbabab",
"bacaacccbab",
"babcbbaacab",
"aacaccbabac",
"caabaccacab",
"bbcaccbaaac",
"bba",
"caca",
"aabacccbaab",
"bacabcbaaab",
"aacaacccbab",
"babcbbbacab",
"aacaccbaaac",
"caabaccbcab",
"caaabccacbb",
"bab",
"acca",
"bacabccaaab",
"babcccaacaa",
"bacabbbcbab",
"caaabccacaa",
"baaabccacbb",
"bbb",
"acba",
"bacacccaaab",
"bacabbbcbba",
"ccaabacacaa",
"baaabccacab",
"abb",
"aabc",
"baaacccacab",
"abbcbbbacab",
"ccaabacbcaa",
"bacaccbaaab",
"abc",
"cbaa",
"aacbcabaacc",
"aacaccbaaab",
"cba",
"cbab",
"aaabcabcacc",
"aacaccaaaab",
"bca",
"cbac",
"ccacbacbaaa",
"aaaaccaaacb",
"bac",
"cabc",
"aaaabcaaacb",
"acb",
"cacb",
"aaaabcbaacb",
"cca",
"bcac",
"bcaabcbaaaa",
"acc",
"bcab",
"bbaaccbaaaa",
"bcc",
"acbb",
"aaaabccaabb",
"ccb",
"bbca",
"bbaaccbbaaa",
"cbc",
"bbcb",
"bbaaacbbaca",
"bbc",
"bcbb",
"bbaaacbbaba",
"aca",
"bcba",
"aabacccabab",
"ccab",
"bbacbcaacab",
"cacaccbaaac",
"aacaccbabca",
"caaaaccacaa",
"caa",
"baca",
"babacccbaaa",
"bcbcbbaaaab",
"aacacccabac",
"baabaccbcab",
"abcaccbaaac"
],
"output": [
"NO",
"YES",
"YES",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n"
]
} | 5ATCODER
|
p03534 CODE FESTIVAL 2017 Final (Parallel) - Palindrome-phobia_1415 | Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES | import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String s = sc.next();
int[] a = new int[3];
for(int i = 0; i < s.length(); i++) {
char c = s.charAt(i);
if(c == 'a') a[0] += 1;
if(c == 'b') a[1] += 1;
if(c == 'c') a[2] += 1;
}
int m = Math.min(a[0], Math.min(a[1], a[2]));
String ans = "YES";
for(int i = 0; i < 3; i++) {
if((a[i] != m) && (a[i] != (m + 1))) ans = "NO";
}
System.out.println(ans);
}
}
| 4JAVA
| {
"input": [
"aba",
"abac",
"babacccabab",
"acac",
"bacaccbabab",
"ccaa",
"bacaacbcbab",
"babcbcaacab",
"bababccacab",
"bacaccbabac",
"bacaccbaaac",
"caaabccacab",
"caaaaccacab",
"bacaccaaaac",
"baa",
"caba",
"babacccbaab",
"aacc",
"bacabcbabab",
"bacaacccbab",
"babcbbaacab",
"aacaccbabac",
"caabaccacab",
"bbcaccbaaac",
"bba",
"caca",
"aabacccbaab",
"bacabcbaaab",
"aacaacccbab",
"babcbbbacab",
"aacaccbaaac",
"caabaccbcab",
"caaabccacbb",
"bab",
"acca",
"bacabccaaab",
"babcccaacaa",
"bacabbbcbab",
"caaabccacaa",
"baaabccacbb",
"bbb",
"acba",
"bacacccaaab",
"bacabbbcbba",
"ccaabacacaa",
"baaabccacab",
"abb",
"aabc",
"baaacccacab",
"abbcbbbacab",
"ccaabacbcaa",
"bacaccbaaab",
"abc",
"cbaa",
"aacbcabaacc",
"aacaccbaaab",
"cba",
"cbab",
"aaabcabcacc",
"aacaccaaaab",
"bca",
"cbac",
"ccacbacbaaa",
"aaaaccaaacb",
"bac",
"cabc",
"aaaabcaaacb",
"acb",
"cacb",
"aaaabcbaacb",
"cca",
"bcac",
"bcaabcbaaaa",
"acc",
"bcab",
"bbaaccbaaaa",
"bcc",
"acbb",
"aaaabccaabb",
"ccb",
"bbca",
"bbaaccbbaaa",
"cbc",
"bbcb",
"bbaaacbbaca",
"bbc",
"bcbb",
"bbaaacbbaba",
"aca",
"bcba",
"aabacccabab",
"ccab",
"bbacbcaacab",
"cacaccbaaac",
"aacaccbabca",
"caaaaccacaa",
"caa",
"baca",
"babacccbaaa",
"bcbcbbaaaab",
"aacacccabac",
"baabaccbcab",
"abcaccbaaac"
],
"output": [
"NO",
"YES",
"YES",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n"
]
} | 5ATCODER
|
p03694 AtCoder Beginner Contest 064 - Traveling AtCoDeer Problem_1416 | It is only six months until Christmas, and AtCoDeer the reindeer is now planning his travel to deliver gifts.
There are N houses along TopCoDeer street. The i-th house is located at coordinate a_i. He has decided to deliver gifts to all these houses.
Find the minimum distance to be traveled when AtCoDeer can start and end his travel at any positions.
Constraints
* 1 ≤ N ≤ 100
* 0 ≤ a_i ≤ 1000
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the minimum distance to be traveled.
Examples
Input
4
2 3 7 9
Output
7
Input
8
3 1 4 1 5 9 2 6
Output
8 | n = input()
houses = map(lambda x: int(x), raw_input().split())
houses = sorted(list(set(houses)))
print houses[-1] - houses[0] | 1Python2
| {
"input": [
"4\n2 3 7 9",
"8\n3 1 4 1 5 9 2 6",
"4\n2 3 9 9",
"8\n3 1 4 1 5 18 2 6",
"4\n2 3 13 9",
"4\n4 4 13 9",
"8\n3 1 1 1 5 15 1 6",
"4\n4 4 8 9",
"4\n0 4 8 18",
"8\n1 1 1 2 5 14 1 6",
"4\n-1 2 4 18",
"4\n-1 2 4 31",
"8\n0 1 0 2 7 8 1 6",
"4\n-1 2 11 6",
"8\n1 1 -1 2 -1 0 1 5",
"4\n-3 3 7 2",
"8\n2 2 0 2 0 -1 0 1",
"8\n2 0 -2 2 0 0 1 0",
"4\n1 -33 0 0",
"4\n1 -42 -1 0",
"4\n0 -42 -2 0",
"4\n0 -50 -2 0",
"4\n0 -94 -4 -1",
"4\n0 -123 -4 -1",
"4\n0 -84 -11 -1",
"4\n0 -41 -11 -2",
"4\n1 -30 -11 -2",
"4\n2 -33 -16 -2",
"4\n0 -33 -16 -2",
"4\n-2 -12 -21 -1",
"4\n0 -13 -21 -1",
"4\n0 -13 -26 -1",
"4\n0 -30 -26 0",
"8\n12 2 0 1 -2 4 -3 0",
"8\n10 2 0 1 -2 4 -6 0",
"4\n-1 -2 -2 -1",
"4\n-1 -2 -2 0",
"8\n9 3 -1 1 -3 3 -13 0",
"4\n-5 -1 -1 -40",
"8\n25 5 0 0 -2 10 -1 1",
"8\n47 5 2 0 -2 10 0 0",
"8\n64 5 0 0 -2 10 0 0",
"8\n64 5 0 0 -3 10 0 0",
"8\n79 5 0 0 -3 10 0 0",
"4\n-22 -4 2 -1",
"4\n-35 -4 2 -1",
"8\n121 1 -1 -1 -3 3 0 1",
"4\n-67 -8 2 -1",
"4\n-94 -8 2 -1",
"4\n-94 -8 4 -1",
"8\n55 1 -3 -1 -2 0 0 1",
"8\n55 1 -1 -1 -2 0 0 1",
"4\n-62 -1 0 -1",
"4\n1 -1 19 -4",
"4\n1 0 39 -8",
"4\n1 1 39 -1",
"4\n1 1 91 -1",
"4\n1 1 80 -1",
"4\n1 1 103 -1",
"4\n2 1 84 -1",
"4\n4 1 90 -1",
"8\n0 -5 0 15 -1 -10 2 1",
"4\n22 2 14 -6",
"8\n0 -4 -1 21 -2 -15 4 2",
"8\n0 -3 -1 27 -6 -18 4 2",
"4\n33 1 -1 -13",
"4\n33 1 -1 -19",
"4\n46 1 -1 -19",
"8\n0 -2 0 14 0 -30 3 1",
"8\n-1 -7 0 4 -1 -60 1 2",
"8\n0 -17 0 4 0 -44 1 0",
"4\n-3 51 -2 0",
"4\n-6 72 -3 0",
"4\n-3 58 -3 0",
"4\n-3 94 -3 0",
"4\n-3 48 -3 0",
"4\n-3 45 -11 0",
"4\n1 0 1 -28",
"8\n-1 -1 0 1 3 -52 -1 1",
"8\n-2 -1 0 1 3 -143 0 1",
"8\n-2 -1 0 1 3 -97 0 1",
"8\n-2 -1 0 1 3 -90 0 1",
"8\n-2 -1 0 1 3 -149 0 1",
"8\n-2 1 1 2 3 -158 0 2",
"8\n-2 1 0 2 4 -158 1 3",
"8\n-2 1 0 3 4 -158 1 6",
"8\n-2 1 0 3 4 -158 1 7",
"8\n3 1 1 1 5 18 2 6",
"4\n2 4 13 9",
"8\n3 1 1 1 5 18 1 6",
"4\n4 4 11 9",
"8\n2 1 1 1 5 15 1 6",
"8\n1 1 1 1 5 15 1 6",
"4\n0 4 8 9",
"8\n1 1 1 2 5 15 1 6",
"4\n0 4 4 18",
"8\n1 1 1 2 7 14 1 6",
"4\n0 2 4 18",
"8\n1 1 0 2 7 14 1 6",
"8\n0 1 0 2 7 14 1 6",
"4\n-1 2 8 31",
"8\n0 1 0 2 7 8 0 6"
],
"output": [
"7",
"8",
"7\n",
"17\n",
"11\n",
"9\n",
"14\n",
"5\n",
"18\n",
"13\n",
"19\n",
"32\n",
"8\n",
"12\n",
"6\n",
"10\n",
"3\n",
"4\n",
"34\n",
"43\n",
"42\n",
"50\n",
"94\n",
"123\n",
"84\n",
"41\n",
"31\n",
"35\n",
"33\n",
"20\n",
"21\n",
"26\n",
"30\n",
"15\n",
"16\n",
"1\n",
"2\n",
"22\n",
"39\n",
"27\n",
"49\n",
"66\n",
"67\n",
"82\n",
"24\n",
"37\n",
"124\n",
"69\n",
"96\n",
"98\n",
"58\n",
"57\n",
"62\n",
"23\n",
"47\n",
"40\n",
"92\n",
"81\n",
"104\n",
"85\n",
"91\n",
"25\n",
"28\n",
"36\n",
"45\n",
"46\n",
"52\n",
"65\n",
"44\n",
"64\n",
"48\n",
"54\n",
"78\n",
"61\n",
"97\n",
"51\n",
"56\n",
"29\n",
"55\n",
"146\n",
"100\n",
"93\n",
"152\n",
"161\n",
"162\n",
"164\n",
"165\n",
"17\n",
"11\n",
"17\n",
"7\n",
"14\n",
"14\n",
"9\n",
"14\n",
"18\n",
"13\n",
"18\n",
"14\n",
"14\n",
"32\n",
"8\n"
]
} | 5ATCODER
|
p03694 AtCoder Beginner Contest 064 - Traveling AtCoDeer Problem_1417 | It is only six months until Christmas, and AtCoDeer the reindeer is now planning his travel to deliver gifts.
There are N houses along TopCoDeer street. The i-th house is located at coordinate a_i. He has decided to deliver gifts to all these houses.
Find the minimum distance to be traveled when AtCoDeer can start and end his travel at any positions.
Constraints
* 1 ≤ N ≤ 100
* 0 ≤ a_i ≤ 1000
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the minimum distance to be traveled.
Examples
Input
4
2 3 7 9
Output
7
Input
8
3 1 4 1 5 9 2 6
Output
8 | #include <iostream>
#include <algorithm>
using namespace std;
int main(){
int n,k[1000];
cin>>n;
for(int i=0;i<n;i++){
cin>>k[i];
}
sort(k,k+n);
cout<<k[n-1]-k[0]<<endl;
} | 2C++
| {
"input": [
"4\n2 3 7 9",
"8\n3 1 4 1 5 9 2 6",
"4\n2 3 9 9",
"8\n3 1 4 1 5 18 2 6",
"4\n2 3 13 9",
"4\n4 4 13 9",
"8\n3 1 1 1 5 15 1 6",
"4\n4 4 8 9",
"4\n0 4 8 18",
"8\n1 1 1 2 5 14 1 6",
"4\n-1 2 4 18",
"4\n-1 2 4 31",
"8\n0 1 0 2 7 8 1 6",
"4\n-1 2 11 6",
"8\n1 1 -1 2 -1 0 1 5",
"4\n-3 3 7 2",
"8\n2 2 0 2 0 -1 0 1",
"8\n2 0 -2 2 0 0 1 0",
"4\n1 -33 0 0",
"4\n1 -42 -1 0",
"4\n0 -42 -2 0",
"4\n0 -50 -2 0",
"4\n0 -94 -4 -1",
"4\n0 -123 -4 -1",
"4\n0 -84 -11 -1",
"4\n0 -41 -11 -2",
"4\n1 -30 -11 -2",
"4\n2 -33 -16 -2",
"4\n0 -33 -16 -2",
"4\n-2 -12 -21 -1",
"4\n0 -13 -21 -1",
"4\n0 -13 -26 -1",
"4\n0 -30 -26 0",
"8\n12 2 0 1 -2 4 -3 0",
"8\n10 2 0 1 -2 4 -6 0",
"4\n-1 -2 -2 -1",
"4\n-1 -2 -2 0",
"8\n9 3 -1 1 -3 3 -13 0",
"4\n-5 -1 -1 -40",
"8\n25 5 0 0 -2 10 -1 1",
"8\n47 5 2 0 -2 10 0 0",
"8\n64 5 0 0 -2 10 0 0",
"8\n64 5 0 0 -3 10 0 0",
"8\n79 5 0 0 -3 10 0 0",
"4\n-22 -4 2 -1",
"4\n-35 -4 2 -1",
"8\n121 1 -1 -1 -3 3 0 1",
"4\n-67 -8 2 -1",
"4\n-94 -8 2 -1",
"4\n-94 -8 4 -1",
"8\n55 1 -3 -1 -2 0 0 1",
"8\n55 1 -1 -1 -2 0 0 1",
"4\n-62 -1 0 -1",
"4\n1 -1 19 -4",
"4\n1 0 39 -8",
"4\n1 1 39 -1",
"4\n1 1 91 -1",
"4\n1 1 80 -1",
"4\n1 1 103 -1",
"4\n2 1 84 -1",
"4\n4 1 90 -1",
"8\n0 -5 0 15 -1 -10 2 1",
"4\n22 2 14 -6",
"8\n0 -4 -1 21 -2 -15 4 2",
"8\n0 -3 -1 27 -6 -18 4 2",
"4\n33 1 -1 -13",
"4\n33 1 -1 -19",
"4\n46 1 -1 -19",
"8\n0 -2 0 14 0 -30 3 1",
"8\n-1 -7 0 4 -1 -60 1 2",
"8\n0 -17 0 4 0 -44 1 0",
"4\n-3 51 -2 0",
"4\n-6 72 -3 0",
"4\n-3 58 -3 0",
"4\n-3 94 -3 0",
"4\n-3 48 -3 0",
"4\n-3 45 -11 0",
"4\n1 0 1 -28",
"8\n-1 -1 0 1 3 -52 -1 1",
"8\n-2 -1 0 1 3 -143 0 1",
"8\n-2 -1 0 1 3 -97 0 1",
"8\n-2 -1 0 1 3 -90 0 1",
"8\n-2 -1 0 1 3 -149 0 1",
"8\n-2 1 1 2 3 -158 0 2",
"8\n-2 1 0 2 4 -158 1 3",
"8\n-2 1 0 3 4 -158 1 6",
"8\n-2 1 0 3 4 -158 1 7",
"8\n3 1 1 1 5 18 2 6",
"4\n2 4 13 9",
"8\n3 1 1 1 5 18 1 6",
"4\n4 4 11 9",
"8\n2 1 1 1 5 15 1 6",
"8\n1 1 1 1 5 15 1 6",
"4\n0 4 8 9",
"8\n1 1 1 2 5 15 1 6",
"4\n0 4 4 18",
"8\n1 1 1 2 7 14 1 6",
"4\n0 2 4 18",
"8\n1 1 0 2 7 14 1 6",
"8\n0 1 0 2 7 14 1 6",
"4\n-1 2 8 31",
"8\n0 1 0 2 7 8 0 6"
],
"output": [
"7",
"8",
"7\n",
"17\n",
"11\n",
"9\n",
"14\n",
"5\n",
"18\n",
"13\n",
"19\n",
"32\n",
"8\n",
"12\n",
"6\n",
"10\n",
"3\n",
"4\n",
"34\n",
"43\n",
"42\n",
"50\n",
"94\n",
"123\n",
"84\n",
"41\n",
"31\n",
"35\n",
"33\n",
"20\n",
"21\n",
"26\n",
"30\n",
"15\n",
"16\n",
"1\n",
"2\n",
"22\n",
"39\n",
"27\n",
"49\n",
"66\n",
"67\n",
"82\n",
"24\n",
"37\n",
"124\n",
"69\n",
"96\n",
"98\n",
"58\n",
"57\n",
"62\n",
"23\n",
"47\n",
"40\n",
"92\n",
"81\n",
"104\n",
"85\n",
"91\n",
"25\n",
"28\n",
"36\n",
"45\n",
"46\n",
"52\n",
"65\n",
"44\n",
"64\n",
"48\n",
"54\n",
"78\n",
"61\n",
"97\n",
"51\n",
"56\n",
"29\n",
"55\n",
"146\n",
"100\n",
"93\n",
"152\n",
"161\n",
"162\n",
"164\n",
"165\n",
"17\n",
"11\n",
"17\n",
"7\n",
"14\n",
"14\n",
"9\n",
"14\n",
"18\n",
"13\n",
"18\n",
"14\n",
"14\n",
"32\n",
"8\n"
]
} | 5ATCODER
|
p03694 AtCoder Beginner Contest 064 - Traveling AtCoDeer Problem_1418 | It is only six months until Christmas, and AtCoDeer the reindeer is now planning his travel to deliver gifts.
There are N houses along TopCoDeer street. The i-th house is located at coordinate a_i. He has decided to deliver gifts to all these houses.
Find the minimum distance to be traveled when AtCoDeer can start and end his travel at any positions.
Constraints
* 1 ≤ N ≤ 100
* 0 ≤ a_i ≤ 1000
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the minimum distance to be traveled.
Examples
Input
4
2 3 7 9
Output
7
Input
8
3 1 4 1 5 9 2 6
Output
8 | num = input()
l = list(map(int, input().split()))
print(max(l) - min(l)) | 3Python3
| {
"input": [
"4\n2 3 7 9",
"8\n3 1 4 1 5 9 2 6",
"4\n2 3 9 9",
"8\n3 1 4 1 5 18 2 6",
"4\n2 3 13 9",
"4\n4 4 13 9",
"8\n3 1 1 1 5 15 1 6",
"4\n4 4 8 9",
"4\n0 4 8 18",
"8\n1 1 1 2 5 14 1 6",
"4\n-1 2 4 18",
"4\n-1 2 4 31",
"8\n0 1 0 2 7 8 1 6",
"4\n-1 2 11 6",
"8\n1 1 -1 2 -1 0 1 5",
"4\n-3 3 7 2",
"8\n2 2 0 2 0 -1 0 1",
"8\n2 0 -2 2 0 0 1 0",
"4\n1 -33 0 0",
"4\n1 -42 -1 0",
"4\n0 -42 -2 0",
"4\n0 -50 -2 0",
"4\n0 -94 -4 -1",
"4\n0 -123 -4 -1",
"4\n0 -84 -11 -1",
"4\n0 -41 -11 -2",
"4\n1 -30 -11 -2",
"4\n2 -33 -16 -2",
"4\n0 -33 -16 -2",
"4\n-2 -12 -21 -1",
"4\n0 -13 -21 -1",
"4\n0 -13 -26 -1",
"4\n0 -30 -26 0",
"8\n12 2 0 1 -2 4 -3 0",
"8\n10 2 0 1 -2 4 -6 0",
"4\n-1 -2 -2 -1",
"4\n-1 -2 -2 0",
"8\n9 3 -1 1 -3 3 -13 0",
"4\n-5 -1 -1 -40",
"8\n25 5 0 0 -2 10 -1 1",
"8\n47 5 2 0 -2 10 0 0",
"8\n64 5 0 0 -2 10 0 0",
"8\n64 5 0 0 -3 10 0 0",
"8\n79 5 0 0 -3 10 0 0",
"4\n-22 -4 2 -1",
"4\n-35 -4 2 -1",
"8\n121 1 -1 -1 -3 3 0 1",
"4\n-67 -8 2 -1",
"4\n-94 -8 2 -1",
"4\n-94 -8 4 -1",
"8\n55 1 -3 -1 -2 0 0 1",
"8\n55 1 -1 -1 -2 0 0 1",
"4\n-62 -1 0 -1",
"4\n1 -1 19 -4",
"4\n1 0 39 -8",
"4\n1 1 39 -1",
"4\n1 1 91 -1",
"4\n1 1 80 -1",
"4\n1 1 103 -1",
"4\n2 1 84 -1",
"4\n4 1 90 -1",
"8\n0 -5 0 15 -1 -10 2 1",
"4\n22 2 14 -6",
"8\n0 -4 -1 21 -2 -15 4 2",
"8\n0 -3 -1 27 -6 -18 4 2",
"4\n33 1 -1 -13",
"4\n33 1 -1 -19",
"4\n46 1 -1 -19",
"8\n0 -2 0 14 0 -30 3 1",
"8\n-1 -7 0 4 -1 -60 1 2",
"8\n0 -17 0 4 0 -44 1 0",
"4\n-3 51 -2 0",
"4\n-6 72 -3 0",
"4\n-3 58 -3 0",
"4\n-3 94 -3 0",
"4\n-3 48 -3 0",
"4\n-3 45 -11 0",
"4\n1 0 1 -28",
"8\n-1 -1 0 1 3 -52 -1 1",
"8\n-2 -1 0 1 3 -143 0 1",
"8\n-2 -1 0 1 3 -97 0 1",
"8\n-2 -1 0 1 3 -90 0 1",
"8\n-2 -1 0 1 3 -149 0 1",
"8\n-2 1 1 2 3 -158 0 2",
"8\n-2 1 0 2 4 -158 1 3",
"8\n-2 1 0 3 4 -158 1 6",
"8\n-2 1 0 3 4 -158 1 7",
"8\n3 1 1 1 5 18 2 6",
"4\n2 4 13 9",
"8\n3 1 1 1 5 18 1 6",
"4\n4 4 11 9",
"8\n2 1 1 1 5 15 1 6",
"8\n1 1 1 1 5 15 1 6",
"4\n0 4 8 9",
"8\n1 1 1 2 5 15 1 6",
"4\n0 4 4 18",
"8\n1 1 1 2 7 14 1 6",
"4\n0 2 4 18",
"8\n1 1 0 2 7 14 1 6",
"8\n0 1 0 2 7 14 1 6",
"4\n-1 2 8 31",
"8\n0 1 0 2 7 8 0 6"
],
"output": [
"7",
"8",
"7\n",
"17\n",
"11\n",
"9\n",
"14\n",
"5\n",
"18\n",
"13\n",
"19\n",
"32\n",
"8\n",
"12\n",
"6\n",
"10\n",
"3\n",
"4\n",
"34\n",
"43\n",
"42\n",
"50\n",
"94\n",
"123\n",
"84\n",
"41\n",
"31\n",
"35\n",
"33\n",
"20\n",
"21\n",
"26\n",
"30\n",
"15\n",
"16\n",
"1\n",
"2\n",
"22\n",
"39\n",
"27\n",
"49\n",
"66\n",
"67\n",
"82\n",
"24\n",
"37\n",
"124\n",
"69\n",
"96\n",
"98\n",
"58\n",
"57\n",
"62\n",
"23\n",
"47\n",
"40\n",
"92\n",
"81\n",
"104\n",
"85\n",
"91\n",
"25\n",
"28\n",
"36\n",
"45\n",
"46\n",
"52\n",
"65\n",
"44\n",
"64\n",
"48\n",
"54\n",
"78\n",
"61\n",
"97\n",
"51\n",
"56\n",
"29\n",
"55\n",
"146\n",
"100\n",
"93\n",
"152\n",
"161\n",
"162\n",
"164\n",
"165\n",
"17\n",
"11\n",
"17\n",
"7\n",
"14\n",
"14\n",
"9\n",
"14\n",
"18\n",
"13\n",
"18\n",
"14\n",
"14\n",
"32\n",
"8\n"
]
} | 5ATCODER
|
p03694 AtCoder Beginner Contest 064 - Traveling AtCoDeer Problem_1419 | It is only six months until Christmas, and AtCoDeer the reindeer is now planning his travel to deliver gifts.
There are N houses along TopCoDeer street. The i-th house is located at coordinate a_i. He has decided to deliver gifts to all these houses.
Find the minimum distance to be traveled when AtCoDeer can start and end his travel at any positions.
Constraints
* 1 ≤ N ≤ 100
* 0 ≤ a_i ≤ 1000
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the minimum distance to be traveled.
Examples
Input
4
2 3 7 9
Output
7
Input
8
3 1 4 1 5 9 2 6
Output
8 | import java.util.Arrays;
import java.util.Scanner;
public class Main {
public static void main(String args[]){
Scanner cin = new Scanner(System.in);
int A = cin.nextInt();
int list[] = new int[A];
int tmp;
for(int i=0;i<A;i++){
list[i] = cin.nextInt();
}
Arrays.sort(list);
tmp = list[0];
int sum=0;
for(int j=0;j<A;j++){
if(tmp==list[j]){
}else{
sum+=list[j]-tmp;
tmp = list[j];
}
}
System.out.println(sum);
}
}
| 4JAVA
| {
"input": [
"4\n2 3 7 9",
"8\n3 1 4 1 5 9 2 6",
"4\n2 3 9 9",
"8\n3 1 4 1 5 18 2 6",
"4\n2 3 13 9",
"4\n4 4 13 9",
"8\n3 1 1 1 5 15 1 6",
"4\n4 4 8 9",
"4\n0 4 8 18",
"8\n1 1 1 2 5 14 1 6",
"4\n-1 2 4 18",
"4\n-1 2 4 31",
"8\n0 1 0 2 7 8 1 6",
"4\n-1 2 11 6",
"8\n1 1 -1 2 -1 0 1 5",
"4\n-3 3 7 2",
"8\n2 2 0 2 0 -1 0 1",
"8\n2 0 -2 2 0 0 1 0",
"4\n1 -33 0 0",
"4\n1 -42 -1 0",
"4\n0 -42 -2 0",
"4\n0 -50 -2 0",
"4\n0 -94 -4 -1",
"4\n0 -123 -4 -1",
"4\n0 -84 -11 -1",
"4\n0 -41 -11 -2",
"4\n1 -30 -11 -2",
"4\n2 -33 -16 -2",
"4\n0 -33 -16 -2",
"4\n-2 -12 -21 -1",
"4\n0 -13 -21 -1",
"4\n0 -13 -26 -1",
"4\n0 -30 -26 0",
"8\n12 2 0 1 -2 4 -3 0",
"8\n10 2 0 1 -2 4 -6 0",
"4\n-1 -2 -2 -1",
"4\n-1 -2 -2 0",
"8\n9 3 -1 1 -3 3 -13 0",
"4\n-5 -1 -1 -40",
"8\n25 5 0 0 -2 10 -1 1",
"8\n47 5 2 0 -2 10 0 0",
"8\n64 5 0 0 -2 10 0 0",
"8\n64 5 0 0 -3 10 0 0",
"8\n79 5 0 0 -3 10 0 0",
"4\n-22 -4 2 -1",
"4\n-35 -4 2 -1",
"8\n121 1 -1 -1 -3 3 0 1",
"4\n-67 -8 2 -1",
"4\n-94 -8 2 -1",
"4\n-94 -8 4 -1",
"8\n55 1 -3 -1 -2 0 0 1",
"8\n55 1 -1 -1 -2 0 0 1",
"4\n-62 -1 0 -1",
"4\n1 -1 19 -4",
"4\n1 0 39 -8",
"4\n1 1 39 -1",
"4\n1 1 91 -1",
"4\n1 1 80 -1",
"4\n1 1 103 -1",
"4\n2 1 84 -1",
"4\n4 1 90 -1",
"8\n0 -5 0 15 -1 -10 2 1",
"4\n22 2 14 -6",
"8\n0 -4 -1 21 -2 -15 4 2",
"8\n0 -3 -1 27 -6 -18 4 2",
"4\n33 1 -1 -13",
"4\n33 1 -1 -19",
"4\n46 1 -1 -19",
"8\n0 -2 0 14 0 -30 3 1",
"8\n-1 -7 0 4 -1 -60 1 2",
"8\n0 -17 0 4 0 -44 1 0",
"4\n-3 51 -2 0",
"4\n-6 72 -3 0",
"4\n-3 58 -3 0",
"4\n-3 94 -3 0",
"4\n-3 48 -3 0",
"4\n-3 45 -11 0",
"4\n1 0 1 -28",
"8\n-1 -1 0 1 3 -52 -1 1",
"8\n-2 -1 0 1 3 -143 0 1",
"8\n-2 -1 0 1 3 -97 0 1",
"8\n-2 -1 0 1 3 -90 0 1",
"8\n-2 -1 0 1 3 -149 0 1",
"8\n-2 1 1 2 3 -158 0 2",
"8\n-2 1 0 2 4 -158 1 3",
"8\n-2 1 0 3 4 -158 1 6",
"8\n-2 1 0 3 4 -158 1 7",
"8\n3 1 1 1 5 18 2 6",
"4\n2 4 13 9",
"8\n3 1 1 1 5 18 1 6",
"4\n4 4 11 9",
"8\n2 1 1 1 5 15 1 6",
"8\n1 1 1 1 5 15 1 6",
"4\n0 4 8 9",
"8\n1 1 1 2 5 15 1 6",
"4\n0 4 4 18",
"8\n1 1 1 2 7 14 1 6",
"4\n0 2 4 18",
"8\n1 1 0 2 7 14 1 6",
"8\n0 1 0 2 7 14 1 6",
"4\n-1 2 8 31",
"8\n0 1 0 2 7 8 0 6"
],
"output": [
"7",
"8",
"7\n",
"17\n",
"11\n",
"9\n",
"14\n",
"5\n",
"18\n",
"13\n",
"19\n",
"32\n",
"8\n",
"12\n",
"6\n",
"10\n",
"3\n",
"4\n",
"34\n",
"43\n",
"42\n",
"50\n",
"94\n",
"123\n",
"84\n",
"41\n",
"31\n",
"35\n",
"33\n",
"20\n",
"21\n",
"26\n",
"30\n",
"15\n",
"16\n",
"1\n",
"2\n",
"22\n",
"39\n",
"27\n",
"49\n",
"66\n",
"67\n",
"82\n",
"24\n",
"37\n",
"124\n",
"69\n",
"96\n",
"98\n",
"58\n",
"57\n",
"62\n",
"23\n",
"47\n",
"40\n",
"92\n",
"81\n",
"104\n",
"85\n",
"91\n",
"25\n",
"28\n",
"36\n",
"45\n",
"46\n",
"52\n",
"65\n",
"44\n",
"64\n",
"48\n",
"54\n",
"78\n",
"61\n",
"97\n",
"51\n",
"56\n",
"29\n",
"55\n",
"146\n",
"100\n",
"93\n",
"152\n",
"161\n",
"162\n",
"164\n",
"165\n",
"17\n",
"11\n",
"17\n",
"7\n",
"14\n",
"14\n",
"9\n",
"14\n",
"18\n",
"13\n",
"18\n",
"14\n",
"14\n",
"32\n",
"8\n"
]
} | 5ATCODER
|
p03849 AtCoder Regular Contest 066 - Xor Sum_1420 | You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.
Constraints
* 1≦N≦10^{18}
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the possible pairs of integers u and v, modulo 10^9+7.
Examples
Input
3
Output
5
Input
1422
Output
52277
Input
1000000000000000000
Output
787014179 | N = input()
MOD = 10**9+7
memo = {0: 1, 1: 2}
def S(k):
if k in memo:
return memo[k]
if k % 2 == 1:
result = (2*S(k/2) + S(k/2-1)) % MOD
else:
result = (S(k/2) + 2*S(k/2-1)) % MOD
memo[k] = result
return result
print S(N) | 1Python2
| {
"input": [
"3",
"1422",
"1000000000000000000",
"4",
"1026",
"1000000001000000000",
"0",
"530",
"1100000001000000000",
"1",
"706",
"1100000001000010000",
"2",
"152",
"1100000001001010000",
"7",
"192",
"1100000011001010000",
"5",
"292",
"1100000001001010010",
"271",
"1101000001001010010",
"266",
"1101000000001010010",
"76",
"1101010000001010010",
"49",
"1101010000011010010",
"75",
"1101110000001010010",
"126",
"1101110000001110010",
"151",
"1101010000001110010",
"93",
"1001010000001110010",
"58",
"1001110000001110010",
"57",
"1001110001001110010",
"12",
"1001110001001110000",
"8",
"1001110001101110010",
"13",
"1531",
"1000001000000000000",
"11",
"663",
"1000000001100000000",
"992",
"1100000000000000000",
"6",
"245",
"1100000001000110000",
"198",
"1100000001001011000",
"14",
"218",
"1000000011001010000",
"9",
"16",
"428",
"1100010001001010010",
"182",
"1101000000011010010",
"46",
"1101110000001011010",
"17",
"1101110000011010010",
"61",
"1101111000001010010",
"147",
"1101110000001110000",
"233",
"1101010000001110000",
"150",
"1001010010001110010",
"105",
"1001110000001111010",
"15",
"1000110001001110010",
"1001110101001110000",
"25",
"1101110001101110010",
"20",
"2681",
"1010001000000000000",
"464",
"1000000000100000000",
"301",
"1100000000000000100",
"10",
"303",
"1110000001000110000",
"159",
"1101000001001011000",
"30",
"406",
"1000000010001010000",
"21",
"26"
],
"output": [
"5",
"52277",
"787014179",
"8\n",
"29565\n",
"999867657\n",
"1\n",
"10220\n",
"355035671\n",
"2\n",
"17242\n",
"391646023\n",
"4\n",
"1472\n",
"103347644\n",
"14\n",
"2201\n",
"194416284\n",
"10\n",
"4022\n",
"256110014\n",
"3526\n",
"646871849\n",
"3446\n",
"757030135\n",
"502\n",
"977998448\n",
"260\n",
"254853750\n",
"485\n",
"367744975\n",
"1093\n",
"120014212\n",
"1448\n",
"845461954\n",
"717\n",
"944721561\n",
"340\n",
"175786357\n",
"329\n",
"507169434\n",
"33\n",
"965789606\n",
"18\n",
"598929443\n",
"36\n",
"58980\n",
"572579\n",
"28\n",
"15197\n",
"69882250\n",
"28824\n",
"822366132\n",
"13\n",
"3178\n",
"926063611\n",
"2305\n",
"296800001\n",
"40\n",
"2726\n",
"464583195\n",
"21\n",
"46\n",
"7868\n",
"87291874\n",
"2062\n",
"834042114\n",
"242\n",
"894929003\n",
"50\n",
"230571839\n",
"358\n",
"158300591\n",
"1369\n",
"757424841\n",
"2976\n",
"580519761\n",
"1441\n",
"423315064\n",
"857\n",
"412426526\n",
"41\n",
"960841410\n",
"113194398\n",
"94\n",
"407444118\n",
"68\n",
"139596\n",
"790875629\n",
"8824\n",
"898648894\n",
"4298\n",
"543239468\n",
"26\n",
"4337\n",
"833303215\n",
"1581\n",
"683897149\n",
"121\n",
"7176\n",
"706170441\n",
"73\n",
"102\n"
]
} | 5ATCODER
|
p03849 AtCoder Regular Contest 066 - Xor Sum_1421 | You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.
Constraints
* 1≦N≦10^{18}
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the possible pairs of integers u and v, modulo 10^9+7.
Examples
Input
3
Output
5
Input
1422
Output
52277
Input
1000000000000000000
Output
787014179 | #include <bits/stdc++.h>
using namespace std;
const int64_t MOD = 1e9+7;
void add(int64_t& a, int64_t b){
a = (a+b)%MOD;
}
int nth_bit(int64_t num , int n) {
return (num >> n) & 1;
}
int main() {
int64_t N;
cin >> N;
int64_t dp[61][3] = {0};
dp[60][0] = 1;
for(int d = 59; d >= 0; d--) {
for(int s = 0; s <= 2; s++) {
for (int k = 0; k <= 2; k++) {
int s2 = min(2, 2*s+nth_bit(N, d) - k);
if (s2 >= 0) add(dp[d][s2], dp[d+1][s]);
}
}
}
int64_t ans = (dp[0][0] + dp[0][1] + dp[0][2]) % MOD;
cout << ans << endl;
return 0;
} | 2C++
| {
"input": [
"3",
"1422",
"1000000000000000000",
"4",
"1026",
"1000000001000000000",
"0",
"530",
"1100000001000000000",
"1",
"706",
"1100000001000010000",
"2",
"152",
"1100000001001010000",
"7",
"192",
"1100000011001010000",
"5",
"292",
"1100000001001010010",
"271",
"1101000001001010010",
"266",
"1101000000001010010",
"76",
"1101010000001010010",
"49",
"1101010000011010010",
"75",
"1101110000001010010",
"126",
"1101110000001110010",
"151",
"1101010000001110010",
"93",
"1001010000001110010",
"58",
"1001110000001110010",
"57",
"1001110001001110010",
"12",
"1001110001001110000",
"8",
"1001110001101110010",
"13",
"1531",
"1000001000000000000",
"11",
"663",
"1000000001100000000",
"992",
"1100000000000000000",
"6",
"245",
"1100000001000110000",
"198",
"1100000001001011000",
"14",
"218",
"1000000011001010000",
"9",
"16",
"428",
"1100010001001010010",
"182",
"1101000000011010010",
"46",
"1101110000001011010",
"17",
"1101110000011010010",
"61",
"1101111000001010010",
"147",
"1101110000001110000",
"233",
"1101010000001110000",
"150",
"1001010010001110010",
"105",
"1001110000001111010",
"15",
"1000110001001110010",
"1001110101001110000",
"25",
"1101110001101110010",
"20",
"2681",
"1010001000000000000",
"464",
"1000000000100000000",
"301",
"1100000000000000100",
"10",
"303",
"1110000001000110000",
"159",
"1101000001001011000",
"30",
"406",
"1000000010001010000",
"21",
"26"
],
"output": [
"5",
"52277",
"787014179",
"8\n",
"29565\n",
"999867657\n",
"1\n",
"10220\n",
"355035671\n",
"2\n",
"17242\n",
"391646023\n",
"4\n",
"1472\n",
"103347644\n",
"14\n",
"2201\n",
"194416284\n",
"10\n",
"4022\n",
"256110014\n",
"3526\n",
"646871849\n",
"3446\n",
"757030135\n",
"502\n",
"977998448\n",
"260\n",
"254853750\n",
"485\n",
"367744975\n",
"1093\n",
"120014212\n",
"1448\n",
"845461954\n",
"717\n",
"944721561\n",
"340\n",
"175786357\n",
"329\n",
"507169434\n",
"33\n",
"965789606\n",
"18\n",
"598929443\n",
"36\n",
"58980\n",
"572579\n",
"28\n",
"15197\n",
"69882250\n",
"28824\n",
"822366132\n",
"13\n",
"3178\n",
"926063611\n",
"2305\n",
"296800001\n",
"40\n",
"2726\n",
"464583195\n",
"21\n",
"46\n",
"7868\n",
"87291874\n",
"2062\n",
"834042114\n",
"242\n",
"894929003\n",
"50\n",
"230571839\n",
"358\n",
"158300591\n",
"1369\n",
"757424841\n",
"2976\n",
"580519761\n",
"1441\n",
"423315064\n",
"857\n",
"412426526\n",
"41\n",
"960841410\n",
"113194398\n",
"94\n",
"407444118\n",
"68\n",
"139596\n",
"790875629\n",
"8824\n",
"898648894\n",
"4298\n",
"543239468\n",
"26\n",
"4337\n",
"833303215\n",
"1581\n",
"683897149\n",
"121\n",
"7176\n",
"706170441\n",
"73\n",
"102\n"
]
} | 5ATCODER
|
p03849 AtCoder Regular Contest 066 - Xor Sum_1422 | You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.
Constraints
* 1≦N≦10^{18}
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the possible pairs of integers u and v, modulo 10^9+7.
Examples
Input
3
Output
5
Input
1422
Output
52277
Input
1000000000000000000
Output
787014179 | n=int(input())
d=dict()
def get(n):
if(n==1):return 1
if(n==0):return 0
if(n in d.keys()):return d[n]
if(n%2==0):
d[n]=2*get(n//2)+get(n//2-1)
else:
d[n]=2*get(n//2)+get(n//2+1)
d[n]%=(10**9+7)
return d[n]
def check(u,v,n):
for a in range(n+1):
b=u ^ a
if(a+b==v):
return 1
return 0
#for e in range(1,n):
# ans=0
# for i in range(e+1):
## for j in range(e+1):
# ans+=check(i,j,e)
# print(ans,get(e+1))
print(get(n+1))
| 3Python3
| {
"input": [
"3",
"1422",
"1000000000000000000",
"4",
"1026",
"1000000001000000000",
"0",
"530",
"1100000001000000000",
"1",
"706",
"1100000001000010000",
"2",
"152",
"1100000001001010000",
"7",
"192",
"1100000011001010000",
"5",
"292",
"1100000001001010010",
"271",
"1101000001001010010",
"266",
"1101000000001010010",
"76",
"1101010000001010010",
"49",
"1101010000011010010",
"75",
"1101110000001010010",
"126",
"1101110000001110010",
"151",
"1101010000001110010",
"93",
"1001010000001110010",
"58",
"1001110000001110010",
"57",
"1001110001001110010",
"12",
"1001110001001110000",
"8",
"1001110001101110010",
"13",
"1531",
"1000001000000000000",
"11",
"663",
"1000000001100000000",
"992",
"1100000000000000000",
"6",
"245",
"1100000001000110000",
"198",
"1100000001001011000",
"14",
"218",
"1000000011001010000",
"9",
"16",
"428",
"1100010001001010010",
"182",
"1101000000011010010",
"46",
"1101110000001011010",
"17",
"1101110000011010010",
"61",
"1101111000001010010",
"147",
"1101110000001110000",
"233",
"1101010000001110000",
"150",
"1001010010001110010",
"105",
"1001110000001111010",
"15",
"1000110001001110010",
"1001110101001110000",
"25",
"1101110001101110010",
"20",
"2681",
"1010001000000000000",
"464",
"1000000000100000000",
"301",
"1100000000000000100",
"10",
"303",
"1110000001000110000",
"159",
"1101000001001011000",
"30",
"406",
"1000000010001010000",
"21",
"26"
],
"output": [
"5",
"52277",
"787014179",
"8\n",
"29565\n",
"999867657\n",
"1\n",
"10220\n",
"355035671\n",
"2\n",
"17242\n",
"391646023\n",
"4\n",
"1472\n",
"103347644\n",
"14\n",
"2201\n",
"194416284\n",
"10\n",
"4022\n",
"256110014\n",
"3526\n",
"646871849\n",
"3446\n",
"757030135\n",
"502\n",
"977998448\n",
"260\n",
"254853750\n",
"485\n",
"367744975\n",
"1093\n",
"120014212\n",
"1448\n",
"845461954\n",
"717\n",
"944721561\n",
"340\n",
"175786357\n",
"329\n",
"507169434\n",
"33\n",
"965789606\n",
"18\n",
"598929443\n",
"36\n",
"58980\n",
"572579\n",
"28\n",
"15197\n",
"69882250\n",
"28824\n",
"822366132\n",
"13\n",
"3178\n",
"926063611\n",
"2305\n",
"296800001\n",
"40\n",
"2726\n",
"464583195\n",
"21\n",
"46\n",
"7868\n",
"87291874\n",
"2062\n",
"834042114\n",
"242\n",
"894929003\n",
"50\n",
"230571839\n",
"358\n",
"158300591\n",
"1369\n",
"757424841\n",
"2976\n",
"580519761\n",
"1441\n",
"423315064\n",
"857\n",
"412426526\n",
"41\n",
"960841410\n",
"113194398\n",
"94\n",
"407444118\n",
"68\n",
"139596\n",
"790875629\n",
"8824\n",
"898648894\n",
"4298\n",
"543239468\n",
"26\n",
"4337\n",
"833303215\n",
"1581\n",
"683897149\n",
"121\n",
"7176\n",
"706170441\n",
"73\n",
"102\n"
]
} | 5ATCODER
|
p03849 AtCoder Regular Contest 066 - Xor Sum_1423 | You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.
Constraints
* 1≦N≦10^{18}
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the possible pairs of integers u and v, modulo 10^9+7.
Examples
Input
3
Output
5
Input
1422
Output
52277
Input
1000000000000000000
Output
787014179 | import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
/**
* @author Pavel Mavrin
*/
public class Main {
private static final long MOD = (long) (1e9 + 7);
private void solve() throws IOException {
long n = Long.parseLong(next()) + 1;
String s = Long.toBinaryString(n);
int m = s.length();
int[] a = new int[m];
Arrays.fill(a, -1);
long res = 0;
for (int i = 0; i < m; i++) if (s.charAt(i) == '1') {
for (int j = 0; j < i; j++) {
a[j] = s.charAt(j) - '0';
}
a[i] = 0;
res += calc(a);
res %= MOD;
}
out.println(res);
}
private long calc(int[] a) {
long q = 1, w = 0;
for (int i = a.length - 1; i >= 0; i--) {
long qq = 0, ww = 0;
if (a[i] != 1) {
qq += q;
ww += (q + w);
}
if (a[i] != 0) {
qq += (q + w);
ww += w;
}
q = qq % MOD;
w = ww % MOD;
}
return q;
}
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st;
PrintWriter out = new PrintWriter(System.out);
String next() throws IOException {
while (st == null || !st.hasMoreTokens()) {
st = new StringTokenizer(br.readLine());
}
return st.nextToken();
}
public static void main(String[] args) throws IOException {
new Main().run();
}
private void run() throws IOException {
solve();
out.close();
}
}
| 4JAVA
| {
"input": [
"3",
"1422",
"1000000000000000000",
"4",
"1026",
"1000000001000000000",
"0",
"530",
"1100000001000000000",
"1",
"706",
"1100000001000010000",
"2",
"152",
"1100000001001010000",
"7",
"192",
"1100000011001010000",
"5",
"292",
"1100000001001010010",
"271",
"1101000001001010010",
"266",
"1101000000001010010",
"76",
"1101010000001010010",
"49",
"1101010000011010010",
"75",
"1101110000001010010",
"126",
"1101110000001110010",
"151",
"1101010000001110010",
"93",
"1001010000001110010",
"58",
"1001110000001110010",
"57",
"1001110001001110010",
"12",
"1001110001001110000",
"8",
"1001110001101110010",
"13",
"1531",
"1000001000000000000",
"11",
"663",
"1000000001100000000",
"992",
"1100000000000000000",
"6",
"245",
"1100000001000110000",
"198",
"1100000001001011000",
"14",
"218",
"1000000011001010000",
"9",
"16",
"428",
"1100010001001010010",
"182",
"1101000000011010010",
"46",
"1101110000001011010",
"17",
"1101110000011010010",
"61",
"1101111000001010010",
"147",
"1101110000001110000",
"233",
"1101010000001110000",
"150",
"1001010010001110010",
"105",
"1001110000001111010",
"15",
"1000110001001110010",
"1001110101001110000",
"25",
"1101110001101110010",
"20",
"2681",
"1010001000000000000",
"464",
"1000000000100000000",
"301",
"1100000000000000100",
"10",
"303",
"1110000001000110000",
"159",
"1101000001001011000",
"30",
"406",
"1000000010001010000",
"21",
"26"
],
"output": [
"5",
"52277",
"787014179",
"8\n",
"29565\n",
"999867657\n",
"1\n",
"10220\n",
"355035671\n",
"2\n",
"17242\n",
"391646023\n",
"4\n",
"1472\n",
"103347644\n",
"14\n",
"2201\n",
"194416284\n",
"10\n",
"4022\n",
"256110014\n",
"3526\n",
"646871849\n",
"3446\n",
"757030135\n",
"502\n",
"977998448\n",
"260\n",
"254853750\n",
"485\n",
"367744975\n",
"1093\n",
"120014212\n",
"1448\n",
"845461954\n",
"717\n",
"944721561\n",
"340\n",
"175786357\n",
"329\n",
"507169434\n",
"33\n",
"965789606\n",
"18\n",
"598929443\n",
"36\n",
"58980\n",
"572579\n",
"28\n",
"15197\n",
"69882250\n",
"28824\n",
"822366132\n",
"13\n",
"3178\n",
"926063611\n",
"2305\n",
"296800001\n",
"40\n",
"2726\n",
"464583195\n",
"21\n",
"46\n",
"7868\n",
"87291874\n",
"2062\n",
"834042114\n",
"242\n",
"894929003\n",
"50\n",
"230571839\n",
"358\n",
"158300591\n",
"1369\n",
"757424841\n",
"2976\n",
"580519761\n",
"1441\n",
"423315064\n",
"857\n",
"412426526\n",
"41\n",
"960841410\n",
"113194398\n",
"94\n",
"407444118\n",
"68\n",
"139596\n",
"790875629\n",
"8824\n",
"898648894\n",
"4298\n",
"543239468\n",
"26\n",
"4337\n",
"833303215\n",
"1581\n",
"683897149\n",
"121\n",
"7176\n",
"706170441\n",
"73\n",
"102\n"
]
} | 5ATCODER
|
p04015 AtCoder Regular Contest 060 - Tak and Cards_1424 | Tak has N cards. On the i-th (1 \leq i \leq N) card is written an integer x_i. He is selecting one or more cards from these N cards, so that the average of the integers written on the selected cards is exactly A. In how many ways can he make his selection?
Constraints
* 1 \leq N \leq 50
* 1 \leq A \leq 50
* 1 \leq x_i \leq 50
* N,\,A,\,x_i are integers.
Input
The input is given from Standard Input in the following format:
N A
x_1 x_2 ... x_N
Output
Print the number of ways to select cards such that the average of the written integers is exactly A.
Examples
Input
4 8
7 9 8 9
Output
5
Input
3 8
6 6 9
Output
0
Input
8 5
3 6 2 8 7 6 5 9
Output
19
Input
33 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Output
8589934591 | import bisect
import sys
import math
import itertools
sys.setrecursionlimit(10000)
INF = float('inf')
# input macro
def i():
return int(raw_input())
def ii():
return map(int,raw_input().split(" "))
def s():
return raw_input()
def ss():
return raw_input().split(" ")
def slist():
return list(raw_input())
#
def join(s):
return ''.join(s)
#iterate macro
def piter(n,m):
return itertools.permutations(n,m)
def citer(n,m):
return itertools.combinations(n,m)
#modulo macro
def modc(a,b,m):
c = 1
for i in xrange(b):
c = c * (a - i) % m
c = c * modinv(i + 1,m) % m
return c
def gcd(a, b):
(x, lastx) = (0, 1)
(y, lasty) = (1, 0)
while b != 0:
q = a // b
(a, b) = (b, a % b)
(x, lastx) = (lastx - q * x, x)
(y, lasty) = (lasty - q * y, y)
return (lastx, lasty, a)
def modinv(a, m):
(inv, q, gcd_val) = gcd(a, m)
return inv % m
#bisect macro
def index(a, x):
#Locate the leftmost value exactly equal to x
i = bisect_left(a, x)
if i != len(a) and a[i] == x:
return i
return -1
#memoize macro
def memoize(f):
cache = {}
def helper(*args):
if args not in cache:
cache[(args)] = f(*args)
return cache[args]
return helper
@memoize
def nck(a,b,m):
b = min([a-b,b])
if (b>a or b<0 or a<0):
return 0
elif a == 0:
return 1
return (nck(a-1,b-1,m)+nck(a-1,b,m)) % m
nh=zip([1,0,-1,0],[0,1,0,-1])
###########
n,a = ii()
x = ii()
ans=0
@memoize
def dp(i,b,c):
if i<0:
return 0
elif b>i+1:
return 0
elif b==1:
return x[0:i+1].count(c)
else:
return dp(i-1,b,c)+dp(i-1,b-1,c-x[i])
for j in range(n):
ans+=dp(n-1,j+1,a*(j+1))
print ans
| 1Python2
| {
"input": [
"4 8\n7 9 8 9",
"3 8\n6 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"8 5\n3 6 2 8 7 6 5 9",
"4 8\n7 12 8 9",
"3 8\n9 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 9",
"3 8\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 16",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 6 5 9",
"8 5\n3 6 2 6 7 2 5 9",
"8 8\n4 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 2 1 16",
"8 5\n3 12 2 6 5 2 5 9",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"8 8\n0 6 2 1 3 2 10 10",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n6 6 1 10 7 3 1 16",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 5 1",
"33 3\n3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 8 2 8 7 2 1 16",
"8 8\n1 7 3 8 3 1 20 21",
"8 5\n3 6 2 8 7 11 1 9",
"33 3\n0 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n5 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 11 3",
"8 5\n3 6 2 8 7 4 2 1",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 1 3 1 6 3 3 3 3 3 1 3 3 6 3",
"33 3\n0 3 3 3 3 1 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"4 8\n7 12 8 8",
"4 16\n7 12 8 8",
"3 8\n15 3 9",
"4 16\n7 12 6 8",
"3 8\n15 2 9",
"2 16\n7 12 6 8",
"3 8\n15 2 13",
"2 16\n7 0 6 8",
"3 8\n15 3 13",
"8 8\n3 6 2 3 3 2 5 10",
"3 11\n15 3 13",
"8 8\n3 10 2 3 3 2 5 10",
"3 11\n15 3 20",
"8 8\n3 10 2 3 3 2 5 3",
"3 11\n15 3 31",
"8 8\n3 10 2 3 0 2 5 3",
"1 11\n15 3 31",
"8 8\n0 10 2 3 0 2 5 3",
"1 11\n0 3 31",
"8 8\n0 10 2 3 0 4 5 3",
"1 11\n0 3 24",
"8 8\n0 10 2 3 0 4 5 2",
"1 11\n1 3 24",
"8 8\n0 10 2 3 0 4 5 1",
"1 11\n1 0 24",
"8 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 24",
"7 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 7",
"7 8\n1 10 0 3 0 4 5 1",
"4 4\n7 9 8 9",
"3 8\n6 6 6",
"33 3\n3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"4 8\n6 12 8 9",
"3 8\n9 9 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 1 3 3 3 3",
"3 15\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 1 16",
"4 16\n7 2 8 8",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 1 8 3 2 5 16",
"4 16\n7 12 5 8",
"3 8\n15 2 3",
"8 8\n3 6 3 8 3 2 5 16",
"2 16\n7 12 6 6",
"3 8\n15 2 11",
"2 16\n3 0 6 8",
"8 8\n0 6 2 3 3 2 5 10",
"3 11\n15 3 25",
"8 8\n5 10 2 3 3 2 5 10",
"3 11\n15 0 20",
"8 8\n4 10 2 3 3 2 5 3",
"0 11\n15 3 31",
"8 8\n3 10 0 3 0 2 5 3",
"1 11\n15 3 62",
"8 8\n0 10 2 3 0 2 7 3",
"1 6\n0 3 31",
"8 8\n0 10 3 3 0 4 5 3",
"1 8\n0 3 24",
"8 8\n0 10 2 3 0 4 8 2",
"1 11\n0 3 29",
"8 8\n0 10 3 3 0 4 5 1",
"8 8\n0 10 0 3 0 2 5 1",
"1 11\n0 0 24",
"7 8\n0 10 0 3 0 0 5 1"
],
"output": [
"5",
"0",
"8589934591",
"19",
"3\n",
"1\n",
"4294967295\n",
"25\n",
"0\n",
"2147483647\n",
"17\n",
"1073741823\n",
"7\n",
"9\n",
"5\n",
"11\n",
"27\n",
"4\n",
"13\n",
"15\n",
"805306367\n",
"2\n",
"939524095\n",
"1006632959\n",
"10\n",
"1342177279\n",
"1275068415\n",
"21\n",
"1610612735\n",
"536870911\n",
"12\n",
"19\n",
"16\n",
"268435455\n",
"671088639\n",
"18\n",
"1140850687\n",
"201326591\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"4294967295\n",
"1\n",
"0\n",
"2147483647\n",
"1\n",
"1073741823\n",
"11\n",
"0\n",
"1073741823\n",
"9\n",
"0\n",
"0\n",
"9\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",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 5ATCODER
|
p04015 AtCoder Regular Contest 060 - Tak and Cards_1425 | Tak has N cards. On the i-th (1 \leq i \leq N) card is written an integer x_i. He is selecting one or more cards from these N cards, so that the average of the integers written on the selected cards is exactly A. In how many ways can he make his selection?
Constraints
* 1 \leq N \leq 50
* 1 \leq A \leq 50
* 1 \leq x_i \leq 50
* N,\,A,\,x_i are integers.
Input
The input is given from Standard Input in the following format:
N A
x_1 x_2 ... x_N
Output
Print the number of ways to select cards such that the average of the written integers is exactly A.
Examples
Input
4 8
7 9 8 9
Output
5
Input
3 8
6 6 9
Output
0
Input
8 5
3 6 2 8 7 6 5 9
Output
19
Input
33 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Output
8589934591 | #include <cstdio>
#include <algorithm>
using namespace std;
long long int knapsack[51][3000]={};
long long int ans=0;
int main(){
int n,a,t;
knapsack[0][0]=1;
scanf("%d %d",&n,&a);
for(int i=1;i<=n;i++){
scanf("%d",&t);
for(int k=i-1;k>=0;k--){
for(int j=2500;j>=t;j--){
knapsack[k+1][j]+=knapsack[k][j-t];
}
}
}
for(int i=1;i<=n;i++)
ans+=knapsack[i][a*i];
printf("%lld",ans);
} | 2C++
| {
"input": [
"4 8\n7 9 8 9",
"3 8\n6 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"8 5\n3 6 2 8 7 6 5 9",
"4 8\n7 12 8 9",
"3 8\n9 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 9",
"3 8\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 16",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 6 5 9",
"8 5\n3 6 2 6 7 2 5 9",
"8 8\n4 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 2 1 16",
"8 5\n3 12 2 6 5 2 5 9",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"8 8\n0 6 2 1 3 2 10 10",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n6 6 1 10 7 3 1 16",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 5 1",
"33 3\n3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 8 2 8 7 2 1 16",
"8 8\n1 7 3 8 3 1 20 21",
"8 5\n3 6 2 8 7 11 1 9",
"33 3\n0 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n5 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 11 3",
"8 5\n3 6 2 8 7 4 2 1",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 1 3 1 6 3 3 3 3 3 1 3 3 6 3",
"33 3\n0 3 3 3 3 1 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"4 8\n7 12 8 8",
"4 16\n7 12 8 8",
"3 8\n15 3 9",
"4 16\n7 12 6 8",
"3 8\n15 2 9",
"2 16\n7 12 6 8",
"3 8\n15 2 13",
"2 16\n7 0 6 8",
"3 8\n15 3 13",
"8 8\n3 6 2 3 3 2 5 10",
"3 11\n15 3 13",
"8 8\n3 10 2 3 3 2 5 10",
"3 11\n15 3 20",
"8 8\n3 10 2 3 3 2 5 3",
"3 11\n15 3 31",
"8 8\n3 10 2 3 0 2 5 3",
"1 11\n15 3 31",
"8 8\n0 10 2 3 0 2 5 3",
"1 11\n0 3 31",
"8 8\n0 10 2 3 0 4 5 3",
"1 11\n0 3 24",
"8 8\n0 10 2 3 0 4 5 2",
"1 11\n1 3 24",
"8 8\n0 10 2 3 0 4 5 1",
"1 11\n1 0 24",
"8 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 24",
"7 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 7",
"7 8\n1 10 0 3 0 4 5 1",
"4 4\n7 9 8 9",
"3 8\n6 6 6",
"33 3\n3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"4 8\n6 12 8 9",
"3 8\n9 9 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 1 3 3 3 3",
"3 15\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 1 16",
"4 16\n7 2 8 8",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 1 8 3 2 5 16",
"4 16\n7 12 5 8",
"3 8\n15 2 3",
"8 8\n3 6 3 8 3 2 5 16",
"2 16\n7 12 6 6",
"3 8\n15 2 11",
"2 16\n3 0 6 8",
"8 8\n0 6 2 3 3 2 5 10",
"3 11\n15 3 25",
"8 8\n5 10 2 3 3 2 5 10",
"3 11\n15 0 20",
"8 8\n4 10 2 3 3 2 5 3",
"0 11\n15 3 31",
"8 8\n3 10 0 3 0 2 5 3",
"1 11\n15 3 62",
"8 8\n0 10 2 3 0 2 7 3",
"1 6\n0 3 31",
"8 8\n0 10 3 3 0 4 5 3",
"1 8\n0 3 24",
"8 8\n0 10 2 3 0 4 8 2",
"1 11\n0 3 29",
"8 8\n0 10 3 3 0 4 5 1",
"8 8\n0 10 0 3 0 2 5 1",
"1 11\n0 0 24",
"7 8\n0 10 0 3 0 0 5 1"
],
"output": [
"5",
"0",
"8589934591",
"19",
"3\n",
"1\n",
"4294967295\n",
"25\n",
"0\n",
"2147483647\n",
"17\n",
"1073741823\n",
"7\n",
"9\n",
"5\n",
"11\n",
"27\n",
"4\n",
"13\n",
"15\n",
"805306367\n",
"2\n",
"939524095\n",
"1006632959\n",
"10\n",
"1342177279\n",
"1275068415\n",
"21\n",
"1610612735\n",
"536870911\n",
"12\n",
"19\n",
"16\n",
"268435455\n",
"671088639\n",
"18\n",
"1140850687\n",
"201326591\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"4294967295\n",
"1\n",
"0\n",
"2147483647\n",
"1\n",
"1073741823\n",
"11\n",
"0\n",
"1073741823\n",
"9\n",
"0\n",
"0\n",
"9\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",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 5ATCODER
|
p04015 AtCoder Regular Contest 060 - Tak and Cards_1426 | Tak has N cards. On the i-th (1 \leq i \leq N) card is written an integer x_i. He is selecting one or more cards from these N cards, so that the average of the integers written on the selected cards is exactly A. In how many ways can he make his selection?
Constraints
* 1 \leq N \leq 50
* 1 \leq A \leq 50
* 1 \leq x_i \leq 50
* N,\,A,\,x_i are integers.
Input
The input is given from Standard Input in the following format:
N A
x_1 x_2 ... x_N
Output
Print the number of ways to select cards such that the average of the written integers is exactly A.
Examples
Input
4 8
7 9 8 9
Output
5
Input
3 8
6 6 9
Output
0
Input
8 5
3 6 2 8 7 6 5 9
Output
19
Input
33 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Output
8589934591 | n,a=map(int,input().split())
X=list(map(int,input().split()))
dp=[[[0]*(sum(X)+1) for _ in range(n+1)] for _ in range(n+1)]
dp[0][0][0]=1
for i in range(1,n+1): #x_1,x_2...x_n
for k in range(i): #k枚数選ぶ
for s in range(sum(X)+1): #合計
if dp[i-1][k][s]:
dp[i][k+1][s+X[i-1]]+=dp[i-1][k][s] #1枚選択肢が増えた時の、そのカードを加えた結果を加算
dp[i][k][s]+=dp[i-1][k][s]
ans=0
for i in range(1,n+1):
for j in range(1,sum(X)+1):
if j == i*a: #合計が平均のi倍の時に加える
ans+=dp[n][i][j]
print(ans) | 3Python3
| {
"input": [
"4 8\n7 9 8 9",
"3 8\n6 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"8 5\n3 6 2 8 7 6 5 9",
"4 8\n7 12 8 9",
"3 8\n9 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 9",
"3 8\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 16",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 6 5 9",
"8 5\n3 6 2 6 7 2 5 9",
"8 8\n4 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 2 1 16",
"8 5\n3 12 2 6 5 2 5 9",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"8 8\n0 6 2 1 3 2 10 10",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n6 6 1 10 7 3 1 16",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 5 1",
"33 3\n3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 8 2 8 7 2 1 16",
"8 8\n1 7 3 8 3 1 20 21",
"8 5\n3 6 2 8 7 11 1 9",
"33 3\n0 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n5 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 11 3",
"8 5\n3 6 2 8 7 4 2 1",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 1 3 1 6 3 3 3 3 3 1 3 3 6 3",
"33 3\n0 3 3 3 3 1 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"4 8\n7 12 8 8",
"4 16\n7 12 8 8",
"3 8\n15 3 9",
"4 16\n7 12 6 8",
"3 8\n15 2 9",
"2 16\n7 12 6 8",
"3 8\n15 2 13",
"2 16\n7 0 6 8",
"3 8\n15 3 13",
"8 8\n3 6 2 3 3 2 5 10",
"3 11\n15 3 13",
"8 8\n3 10 2 3 3 2 5 10",
"3 11\n15 3 20",
"8 8\n3 10 2 3 3 2 5 3",
"3 11\n15 3 31",
"8 8\n3 10 2 3 0 2 5 3",
"1 11\n15 3 31",
"8 8\n0 10 2 3 0 2 5 3",
"1 11\n0 3 31",
"8 8\n0 10 2 3 0 4 5 3",
"1 11\n0 3 24",
"8 8\n0 10 2 3 0 4 5 2",
"1 11\n1 3 24",
"8 8\n0 10 2 3 0 4 5 1",
"1 11\n1 0 24",
"8 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 24",
"7 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 7",
"7 8\n1 10 0 3 0 4 5 1",
"4 4\n7 9 8 9",
"3 8\n6 6 6",
"33 3\n3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"4 8\n6 12 8 9",
"3 8\n9 9 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 1 3 3 3 3",
"3 15\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 1 16",
"4 16\n7 2 8 8",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 1 8 3 2 5 16",
"4 16\n7 12 5 8",
"3 8\n15 2 3",
"8 8\n3 6 3 8 3 2 5 16",
"2 16\n7 12 6 6",
"3 8\n15 2 11",
"2 16\n3 0 6 8",
"8 8\n0 6 2 3 3 2 5 10",
"3 11\n15 3 25",
"8 8\n5 10 2 3 3 2 5 10",
"3 11\n15 0 20",
"8 8\n4 10 2 3 3 2 5 3",
"0 11\n15 3 31",
"8 8\n3 10 0 3 0 2 5 3",
"1 11\n15 3 62",
"8 8\n0 10 2 3 0 2 7 3",
"1 6\n0 3 31",
"8 8\n0 10 3 3 0 4 5 3",
"1 8\n0 3 24",
"8 8\n0 10 2 3 0 4 8 2",
"1 11\n0 3 29",
"8 8\n0 10 3 3 0 4 5 1",
"8 8\n0 10 0 3 0 2 5 1",
"1 11\n0 0 24",
"7 8\n0 10 0 3 0 0 5 1"
],
"output": [
"5",
"0",
"8589934591",
"19",
"3\n",
"1\n",
"4294967295\n",
"25\n",
"0\n",
"2147483647\n",
"17\n",
"1073741823\n",
"7\n",
"9\n",
"5\n",
"11\n",
"27\n",
"4\n",
"13\n",
"15\n",
"805306367\n",
"2\n",
"939524095\n",
"1006632959\n",
"10\n",
"1342177279\n",
"1275068415\n",
"21\n",
"1610612735\n",
"536870911\n",
"12\n",
"19\n",
"16\n",
"268435455\n",
"671088639\n",
"18\n",
"1140850687\n",
"201326591\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"4294967295\n",
"1\n",
"0\n",
"2147483647\n",
"1\n",
"1073741823\n",
"11\n",
"0\n",
"1073741823\n",
"9\n",
"0\n",
"0\n",
"9\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",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 5ATCODER
|
p04015 AtCoder Regular Contest 060 - Tak and Cards_1427 | Tak has N cards. On the i-th (1 \leq i \leq N) card is written an integer x_i. He is selecting one or more cards from these N cards, so that the average of the integers written on the selected cards is exactly A. In how many ways can he make his selection?
Constraints
* 1 \leq N \leq 50
* 1 \leq A \leq 50
* 1 \leq x_i \leq 50
* N,\,A,\,x_i are integers.
Input
The input is given from Standard Input in the following format:
N A
x_1 x_2 ... x_N
Output
Print the number of ways to select cards such that the average of the written integers is exactly A.
Examples
Input
4 8
7 9 8 9
Output
5
Input
3 8
6 6 9
Output
0
Input
8 5
3 6 2 8 7 6 5 9
Output
19
Input
33 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Output
8589934591 | import java.awt.geom.Line2D;
import java.awt.geom.Point2D;
import java.awt.geom.Point2D.Double;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.PriorityQueue;
import java.util.Scanner;
import java.util.TreeSet;
import java.lang.Object;
public class Main {
Scanner sc = new Scanner(System.in);
public static void main(String[] args) {
new Main();
}
public Main() {
new C().doIt();
}
class C{
long dp_table(int num[],int max,int ans,int cnt){
long dp[][] = new long[51][2501];
long result = 0;
for(int i = 0;i < max;i++){
dp[i][num[i]]++;
if(num[i] == ans)result++;
}
for(int i = 0;i < max - 1;i++){
long dp2[][] = new long[51][2501];
ans = ans + cnt;
for(int l = i;l < max - 1;l++){
for(int j = 0;j < 50*(l+1) + 1;j++){
for(int k = l + 1;k < max;k++){
dp2[k][j + num[k]] = dp[l][j] + dp2[k][j + num[k]];
}
}
}
for(int j = i+1;j < max;j++){
for(int k = 0;k < 2501;k++){
dp[j][k] = dp2[j][k];
if(k == ans){
result = result + dp[j][k];
}
}
}
// for(int j = i+1;j < max;j++){
// for(int k = 0;k < 40;k++){
// System.out.print(dp[j][k]+" ");
// }
// System.out.println();
// }
// System.out.println(result+" "+ans+" "+max+" "+i);
}
return result;
}
void doIt(){
int n = sc.nextInt();
int ans = sc.nextInt();
int num[] = new int[n];
for(int i = 0;i < n;i++){
num[i] = sc.nextInt();
}
long sum = 0;
sum = dp_table(num,n,ans,ans);
System.out.println(sum);
}
}
} | 4JAVA
| {
"input": [
"4 8\n7 9 8 9",
"3 8\n6 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"8 5\n3 6 2 8 7 6 5 9",
"4 8\n7 12 8 9",
"3 8\n9 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 9",
"3 8\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 7 2 5 16",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 8 3 2 5 16",
"8 8\n3 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 6 5 9",
"8 5\n3 6 2 6 7 2 5 9",
"8 8\n4 6 2 3 3 2 5 16",
"8 5\n6 6 2 8 7 2 1 16",
"8 5\n3 12 2 6 5 2 5 9",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"8 8\n0 6 2 1 3 2 10 10",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 3 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 6 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n6 6 1 10 7 3 1 16",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"33 3\n3 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 5 1",
"33 3\n3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 8 2 8 7 2 1 16",
"8 8\n1 7 3 8 3 1 20 21",
"8 5\n3 6 2 8 7 11 1 9",
"33 3\n0 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"33 3\n5 3 3 3 3 3 3 4 3 1 3 4 3 3 3 3 1 3 3 3 3 4 3 2 3 3 3 3 1 3 3 11 3",
"8 5\n3 6 2 8 7 4 2 1",
"33 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 1 3 3 1 3 1 6 3 3 3 3 3 1 3 3 6 3",
"33 3\n0 3 3 3 3 1 3 3 3 3 3 3 5 3 3 3 0 0 3 3 0 3 3 3 3 3 3 3 1 3 3 3 3",
"4 8\n7 12 8 8",
"4 16\n7 12 8 8",
"3 8\n15 3 9",
"4 16\n7 12 6 8",
"3 8\n15 2 9",
"2 16\n7 12 6 8",
"3 8\n15 2 13",
"2 16\n7 0 6 8",
"3 8\n15 3 13",
"8 8\n3 6 2 3 3 2 5 10",
"3 11\n15 3 13",
"8 8\n3 10 2 3 3 2 5 10",
"3 11\n15 3 20",
"8 8\n3 10 2 3 3 2 5 3",
"3 11\n15 3 31",
"8 8\n3 10 2 3 0 2 5 3",
"1 11\n15 3 31",
"8 8\n0 10 2 3 0 2 5 3",
"1 11\n0 3 31",
"8 8\n0 10 2 3 0 4 5 3",
"1 11\n0 3 24",
"8 8\n0 10 2 3 0 4 5 2",
"1 11\n1 3 24",
"8 8\n0 10 2 3 0 4 5 1",
"1 11\n1 0 24",
"8 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 24",
"7 8\n0 10 0 3 0 4 5 1",
"1 11\n2 0 7",
"7 8\n1 10 0 3 0 4 5 1",
"4 4\n7 9 8 9",
"3 8\n6 6 6",
"33 3\n3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"4 8\n6 12 8 9",
"3 8\n9 9 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 1 3 3 3 3",
"3 15\n15 6 9",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 6 3",
"8 5\n3 6 2 8 7 2 1 16",
"4 16\n7 2 8 8",
"33 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3",
"8 5\n3 6 1 8 3 2 5 16",
"4 16\n7 12 5 8",
"3 8\n15 2 3",
"8 8\n3 6 3 8 3 2 5 16",
"2 16\n7 12 6 6",
"3 8\n15 2 11",
"2 16\n3 0 6 8",
"8 8\n0 6 2 3 3 2 5 10",
"3 11\n15 3 25",
"8 8\n5 10 2 3 3 2 5 10",
"3 11\n15 0 20",
"8 8\n4 10 2 3 3 2 5 3",
"0 11\n15 3 31",
"8 8\n3 10 0 3 0 2 5 3",
"1 11\n15 3 62",
"8 8\n0 10 2 3 0 2 7 3",
"1 6\n0 3 31",
"8 8\n0 10 3 3 0 4 5 3",
"1 8\n0 3 24",
"8 8\n0 10 2 3 0 4 8 2",
"1 11\n0 3 29",
"8 8\n0 10 3 3 0 4 5 1",
"8 8\n0 10 0 3 0 2 5 1",
"1 11\n0 0 24",
"7 8\n0 10 0 3 0 0 5 1"
],
"output": [
"5",
"0",
"8589934591",
"19",
"3\n",
"1\n",
"4294967295\n",
"25\n",
"0\n",
"2147483647\n",
"17\n",
"1073741823\n",
"7\n",
"9\n",
"5\n",
"11\n",
"27\n",
"4\n",
"13\n",
"15\n",
"805306367\n",
"2\n",
"939524095\n",
"1006632959\n",
"10\n",
"1342177279\n",
"1275068415\n",
"21\n",
"1610612735\n",
"536870911\n",
"12\n",
"19\n",
"16\n",
"268435455\n",
"671088639\n",
"18\n",
"1140850687\n",
"201326591\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"4294967295\n",
"1\n",
"0\n",
"2147483647\n",
"1\n",
"1073741823\n",
"11\n",
"0\n",
"1073741823\n",
"9\n",
"0\n",
"0\n",
"9\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",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 5ATCODER
|
p00100 Sale Result_1428 | There is data on sales of your company. Your task is to write a program which identifies good workers.
The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p × q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000.
Input
The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of:
n (the number of data in the list)
i p q
i p q
:
:
i p q
Output
For each dataset, print a list of employee IDs or a text "NA"
Example
Input
4
1001 2000 520
1002 1800 450
1003 1600 625
1001 200 1220
2
1001 100 3
1005 1000 100
2
2013 5000 100
2013 5000 100
0
Output
1001
1003
NA
2013 | while True:
n = int(raw_input())
if n == 0:
break
data = {}
order = []
for i in range(n):
id,price,quant = map(int, raw_input().split())
if id in data:
data[id] += price*quant
else:
data[id] = price*quant
order.append(id)
if max(data.values()) < 1000000:
print "NA"
else:
for k in order:
if data[k] >= 1000000:
print k | 1Python2
| {
"input": [
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 4\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1220\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0100 2000 520\n18 2363 347\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 9313 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 1753 712\n14 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 000\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0010 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0110 2000 480\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 247 2276\n2\n1001 100 3\n867 1110 000\n2\n715 7792 000\n2013 9313 110\n0",
"4\n0110 2000 520\n11 2363 29\n1507 837 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n2\n0011 100 3\n943 1100 100\n2\n715 7792 100\n1668 16264 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 14106 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 2654 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 100\n0",
"4\n0010 797 712\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1068 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1145 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 010\n0",
"4\n0110 1753 712\n14 3661 29\n266 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1110 1753 712\n8 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1001 66 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n967 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n2017 3111 625\n0101 200 2276\n2\n1001 110 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 74\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 347\n2731 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 9482 100\n0",
"4\n0110 2000 520\n11 2363 29\n2955 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1110 000\n2\n715 7792 000\n2013 13746 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 17132 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 2454 100\n0",
"4\n0010 2000 829\n14 3661 29\n124 2654 1160\n1101 670 2276\n2\n0011 111 0\n954 1100 000\n2\n888 245 101\n187 426 100\n0",
"4\n0010 2000 712\n14 3661 29\n661 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n1330 245 101\n187 426 000\n0",
"4\n1001 2000 520\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1003 3111 625\n0001 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n1507 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n955 3111 625\n0101 200 2276\n2\n1001 100 4\n867 1010 100\n2\n952 7792 101\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1010 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n296 7792 100\n1668 9313 100\n0",
"4\n1010 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0000 2000 520\n14 3661 29\n1507 2654 1160\n1101 936 2276\n2\n0001 100 0\n954 1100 000\n2\n1187 1354 100\n883 426 100\n0",
"4\n0010 3716 520\n14 3661 29\n1507 2460 80\n1101 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n883 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 230\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 110\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2634 520\n42 3305 450\n1507 255 625\n1101 200 2276\n2\n1001 100 5\n1005 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n1507 3276 1160\n0101 245 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n0 2363 29\n1507 3111 1160\n0101 493 2276\n2\n1011 101 3\n943 1100 100\n2\n715 7792 000\n2013 10156 100\n0",
"4\n0110 2000 520\n11 2363 29\n2303 4647 1160\n1101 348 2276\n2\n1011 101 3\n943 1101 100\n2\n715 7792 000\n2013 1462 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1000 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 375 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n50 426 100\n0",
"4\n0000 2000 1040\n80 1800 840\n1003 3111 625\n1001 200 1220\n2\n1011 100 4\n1005 1000 100\n2\n1030 5000 100\n2013 5000 110\n0",
"4\n0000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n7 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n979 5000 110\n0",
"4\n0110 2000 321\n18 2363 29\n1507 2597 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 9313 100\n0",
"4\n0110 1372 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n299 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0011 110 0\n502 1100 100\n2\n715 1354 100\n2781 27366 100\n0",
"4\n0110 2000 520\n14 2363 29\n2126 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n0\n2013 5000 010\n2817 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1554 3111 625\n0101 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 2352 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 2930 450\n2802 4348 625\n0001 200 2276\n2\n1001 110 4\n1005 1011 100\n2\n683 18 100\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1000 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 729 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2340 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 10606 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 73 2131\n1101 670 2276\n2\n0001 101 0\n954 1100 100\n2\n874 1354 100\n883 2454 100\n0",
"4\n1000 2000 520\n14 2363 50\n1507 2654 1160\n1100 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1101 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n218 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 797 946\n21 3661 29\n1507 2654 1160\n1001 696 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 115 000\n0",
"4\n1011 66 493\n80 1800 450\n3058 1600 1184\n1101 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 788\n0001 327 1220\n2\n1011 100 4\n1005 1000 100\n2\n683 5000 100\n2013 2071 000\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n528 10606 100\n0",
"4\n0000 2000 520\n14 3661 29\n1290 2654 1833\n1101 936 2276\n2\n0001 100 0\n22 1100 000\n2\n1187 2291 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1001 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n206 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0101 2956 520\n80 1800 450\n216 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1010 000\n2\n2013 5000 100\n1161 5000 101\n0",
"4\n1000 2042 520\n80 1800 450\n1003 3111 625\n1001 200 2693\n0\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 110\n0",
"4\n0000 2000 797\n42 3305 74\n1793 3111 625\n0101 200 2276\n0\n0000 100 4\n1621 1000 101\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 4156 450\n955 3111 1165\n0101 262 2276\n0\n1001 100 4\n867 1010 100\n2\n952 7792 001\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 3\n867 1000 000\n2\n248 10470 110\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n780 3276 1160\n0111 245 2276\n2\n1001 100 5\n867 1010 000\n2\n683 1716 000\n2013 5000 100\n0"
],
"output": [
"1001\n1003\nNA\n2013",
"1001\n1003\nNA\n2013\n",
"0001\n1003\nNA\n2013\n",
"0000\n1003\nNA\n2013\n",
"0000\n1003\nNA\nNA\n",
"0000\n1507\nNA\nNA\n",
"0000\n80\n1507\nNA\nNA\n",
"0000\n42\n1507\nNA\nNA\n",
"0000\n18\n1507\nNA\nNA\n",
"0100\n1507\nNA\nNA\n",
"0110\n1507\nNA\nNA\n",
"0110\n1507\n1101\nNA\nNA\n",
"0110\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\nNA\n",
"0010\n1507\nNA\nNA\n",
"1001\n1003\nNA\nNA\n",
"1001\n1796\nNA\n2013\n",
"0101\n1003\nNA\n2013\n",
"0010\n42\n1507\nNA\nNA\n",
"0000\n42\n1507\n",
"1507\nNA\nNA\n",
"0110\n1507\nNA\n2013\n",
"0110\nNA\nNA\n",
"0110\n1103\nNA\nNA\n",
"0110\n1507\nNA\n1668\n",
"0110\n1507\n1101\nNA\n1668\n",
"0110\n1507\n1001\nNA\n883\n",
"0010\n1507\n1101\n",
"0010\n1507\n1100\nNA\nNA\n",
"0010\n1507\n1101\nNA\n",
"1507\n1101\nNA\nNA\n",
"0110\n1068\nNA\nNA\n",
"0110\n1145\nNA\nNA\n",
"0110\n266\nNA\nNA\n",
"1110\n1507\nNA\nNA\n",
"1796\nNA\n2013\n",
"0101\n1003\nNA\nNA\n",
"0000\n1003\nNA\n",
"0000\n80\n2017\nNA\nNA\n",
"0000\n1507\n",
"0000\n42\n1507\nNA\n",
"0000\n2731\nNA\nNA\n",
"0110\n2955\nNA\n2013\n",
"0111\n1507\nNA\nNA\n",
"0110\n1103\nNA\n1668\n",
"0110\n1315\n1101\nNA\nNA\n",
"0010\n124\n1101\nNA\nNA\n",
"0010\n661\n1101\nNA\nNA\n",
"1001\n1002\n1003\nNA\nNA\n",
"1000\n1003\nNA\n",
"1003\nNA\nNA\n",
"1000\n1507\nNA\nNA\n",
"0000\n42\n955\nNA\nNA\n",
"0000\n42\n1507\nNA\n683\n",
"0110\n1507\n0101\nNA\nNA\n",
"0110\n1507\n",
"1010\n1507\n1101\n",
"0000\n1507\n1101\nNA\nNA\n",
"0010\n1101\nNA\nNA\n",
"0010\n1101\nNA\n",
"1002\n1003\nNA\nNA\n",
"1000\n2874\nNA\nNA\n",
"0000\n42\nNA\nNA\n",
"0001\n18\n1507\nNA\nNA\n",
"0110\n1507\n0101\nNA\n2013\n",
"0110\n2303\nNA\nNA\n",
"0110\n1507\n1001\nNA\n497\n",
"1000\n1507\n1101\n",
"0010\n1100\nNA\nNA\n",
"0000\n80\n1003\nNA\nNA\n",
"0000\n2874\nNA\nNA\n",
"0000\n42\n7\nNA\n",
"1507\n0101\nNA\nNA\n",
"0110\n2608\nNA\nNA\n",
"1507\n",
"0110\n1507\n1101\nNA\n2781\n",
"0110\n2126\n1001\nNA\n497\n",
"1002\n1003\nNA\n",
"1554\nNA\nNA\n",
"0000\n80\n2802\nNA\nNA\n",
"0010\n42\n1507\nNA\n683\n",
"0111\nNA\nNA\n",
"0110\n2608\nNA\n450\n",
"0110\n1101\nNA\nNA\n",
"1000\n1507\n1100\n",
"1507\n1101\nNA\n",
"0000\n218\n1101\nNA\nNA\n",
"1507\n1001\nNA\nNA\n",
"3058\nNA\n2013\n",
"1000\n1003\nNA\nNA\n",
"0110\n2608\nNA\n528\n",
"0000\n1290\n1101\nNA\nNA\n",
"1507\n1001\nNA\n",
"0000\n206\n1101\nNA\nNA\n",
"0101\n216\nNA\nNA\n",
"1000\n1003\n",
"0000\n1793\n",
"0000\n42\n955\n",
"0010\n42\n1507\nNA\n248\n",
"0001\n18\n780\nNA\nNA\n"
]
} | 6AIZU
|
p00100 Sale Result_1429 | There is data on sales of your company. Your task is to write a program which identifies good workers.
The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p × q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000.
Input
The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of:
n (the number of data in the list)
i p q
i p q
:
:
i p q
Output
For each dataset, print a list of employee IDs or a text "NA"
Example
Input
4
1001 2000 520
1002 1800 450
1003 1600 625
1001 200 1220
2
1001 100 3
1005 1000 100
2
2013 5000 100
2013 5000 100
0
Output
1001
1003
NA
2013 | #include<iostream>
#include<vector>
#include<cstring>
#include<algorithm>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
int main(){
int n;
while( cin >> n, n ){
long long emp[4001];
vector<int> nums;
bool exist = false;
memset( emp, 0, sizeof(emp) );
rep(i,n){
int num;
long long val, am;
cin >> num >> val >> am;
emp[num] += val*am;
if( find(nums.begin(), nums.end(), num) == nums.end() ){
nums.push_back(num);
}
}
rep(i,nums.size()){
if( emp[nums[i]] >= 1000000 ){
exist = true;
cout << nums[i] << endl;
}
}
if(!exist){
cout << "NA" << endl;
}
}
return 0;
} | 2C++
| {
"input": [
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 4\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1220\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0100 2000 520\n18 2363 347\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 9313 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 1753 712\n14 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 000\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0010 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0110 2000 480\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 247 2276\n2\n1001 100 3\n867 1110 000\n2\n715 7792 000\n2013 9313 110\n0",
"4\n0110 2000 520\n11 2363 29\n1507 837 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n2\n0011 100 3\n943 1100 100\n2\n715 7792 100\n1668 16264 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 14106 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 2654 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 100\n0",
"4\n0010 797 712\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1068 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1145 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 010\n0",
"4\n0110 1753 712\n14 3661 29\n266 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1110 1753 712\n8 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1001 66 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n967 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n2017 3111 625\n0101 200 2276\n2\n1001 110 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 74\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 347\n2731 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 9482 100\n0",
"4\n0110 2000 520\n11 2363 29\n2955 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1110 000\n2\n715 7792 000\n2013 13746 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 17132 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 2454 100\n0",
"4\n0010 2000 829\n14 3661 29\n124 2654 1160\n1101 670 2276\n2\n0011 111 0\n954 1100 000\n2\n888 245 101\n187 426 100\n0",
"4\n0010 2000 712\n14 3661 29\n661 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n1330 245 101\n187 426 000\n0",
"4\n1001 2000 520\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1003 3111 625\n0001 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n1507 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n955 3111 625\n0101 200 2276\n2\n1001 100 4\n867 1010 100\n2\n952 7792 101\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1010 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n296 7792 100\n1668 9313 100\n0",
"4\n1010 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0000 2000 520\n14 3661 29\n1507 2654 1160\n1101 936 2276\n2\n0001 100 0\n954 1100 000\n2\n1187 1354 100\n883 426 100\n0",
"4\n0010 3716 520\n14 3661 29\n1507 2460 80\n1101 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n883 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 230\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 110\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2634 520\n42 3305 450\n1507 255 625\n1101 200 2276\n2\n1001 100 5\n1005 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n1507 3276 1160\n0101 245 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n0 2363 29\n1507 3111 1160\n0101 493 2276\n2\n1011 101 3\n943 1100 100\n2\n715 7792 000\n2013 10156 100\n0",
"4\n0110 2000 520\n11 2363 29\n2303 4647 1160\n1101 348 2276\n2\n1011 101 3\n943 1101 100\n2\n715 7792 000\n2013 1462 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1000 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 375 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n50 426 100\n0",
"4\n0000 2000 1040\n80 1800 840\n1003 3111 625\n1001 200 1220\n2\n1011 100 4\n1005 1000 100\n2\n1030 5000 100\n2013 5000 110\n0",
"4\n0000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n7 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n979 5000 110\n0",
"4\n0110 2000 321\n18 2363 29\n1507 2597 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 9313 100\n0",
"4\n0110 1372 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n299 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0011 110 0\n502 1100 100\n2\n715 1354 100\n2781 27366 100\n0",
"4\n0110 2000 520\n14 2363 29\n2126 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n0\n2013 5000 010\n2817 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1554 3111 625\n0101 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 2352 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 2930 450\n2802 4348 625\n0001 200 2276\n2\n1001 110 4\n1005 1011 100\n2\n683 18 100\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1000 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 729 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2340 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 10606 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 73 2131\n1101 670 2276\n2\n0001 101 0\n954 1100 100\n2\n874 1354 100\n883 2454 100\n0",
"4\n1000 2000 520\n14 2363 50\n1507 2654 1160\n1100 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1101 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n218 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 797 946\n21 3661 29\n1507 2654 1160\n1001 696 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 115 000\n0",
"4\n1011 66 493\n80 1800 450\n3058 1600 1184\n1101 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 788\n0001 327 1220\n2\n1011 100 4\n1005 1000 100\n2\n683 5000 100\n2013 2071 000\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n528 10606 100\n0",
"4\n0000 2000 520\n14 3661 29\n1290 2654 1833\n1101 936 2276\n2\n0001 100 0\n22 1100 000\n2\n1187 2291 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1001 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n206 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0101 2956 520\n80 1800 450\n216 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1010 000\n2\n2013 5000 100\n1161 5000 101\n0",
"4\n1000 2042 520\n80 1800 450\n1003 3111 625\n1001 200 2693\n0\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 110\n0",
"4\n0000 2000 797\n42 3305 74\n1793 3111 625\n0101 200 2276\n0\n0000 100 4\n1621 1000 101\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 4156 450\n955 3111 1165\n0101 262 2276\n0\n1001 100 4\n867 1010 100\n2\n952 7792 001\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 3\n867 1000 000\n2\n248 10470 110\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n780 3276 1160\n0111 245 2276\n2\n1001 100 5\n867 1010 000\n2\n683 1716 000\n2013 5000 100\n0"
],
"output": [
"1001\n1003\nNA\n2013",
"1001\n1003\nNA\n2013\n",
"0001\n1003\nNA\n2013\n",
"0000\n1003\nNA\n2013\n",
"0000\n1003\nNA\nNA\n",
"0000\n1507\nNA\nNA\n",
"0000\n80\n1507\nNA\nNA\n",
"0000\n42\n1507\nNA\nNA\n",
"0000\n18\n1507\nNA\nNA\n",
"0100\n1507\nNA\nNA\n",
"0110\n1507\nNA\nNA\n",
"0110\n1507\n1101\nNA\nNA\n",
"0110\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\nNA\n",
"0010\n1507\nNA\nNA\n",
"1001\n1003\nNA\nNA\n",
"1001\n1796\nNA\n2013\n",
"0101\n1003\nNA\n2013\n",
"0010\n42\n1507\nNA\nNA\n",
"0000\n42\n1507\n",
"1507\nNA\nNA\n",
"0110\n1507\nNA\n2013\n",
"0110\nNA\nNA\n",
"0110\n1103\nNA\nNA\n",
"0110\n1507\nNA\n1668\n",
"0110\n1507\n1101\nNA\n1668\n",
"0110\n1507\n1001\nNA\n883\n",
"0010\n1507\n1101\n",
"0010\n1507\n1100\nNA\nNA\n",
"0010\n1507\n1101\nNA\n",
"1507\n1101\nNA\nNA\n",
"0110\n1068\nNA\nNA\n",
"0110\n1145\nNA\nNA\n",
"0110\n266\nNA\nNA\n",
"1110\n1507\nNA\nNA\n",
"1796\nNA\n2013\n",
"0101\n1003\nNA\nNA\n",
"0000\n1003\nNA\n",
"0000\n80\n2017\nNA\nNA\n",
"0000\n1507\n",
"0000\n42\n1507\nNA\n",
"0000\n2731\nNA\nNA\n",
"0110\n2955\nNA\n2013\n",
"0111\n1507\nNA\nNA\n",
"0110\n1103\nNA\n1668\n",
"0110\n1315\n1101\nNA\nNA\n",
"0010\n124\n1101\nNA\nNA\n",
"0010\n661\n1101\nNA\nNA\n",
"1001\n1002\n1003\nNA\nNA\n",
"1000\n1003\nNA\n",
"1003\nNA\nNA\n",
"1000\n1507\nNA\nNA\n",
"0000\n42\n955\nNA\nNA\n",
"0000\n42\n1507\nNA\n683\n",
"0110\n1507\n0101\nNA\nNA\n",
"0110\n1507\n",
"1010\n1507\n1101\n",
"0000\n1507\n1101\nNA\nNA\n",
"0010\n1101\nNA\nNA\n",
"0010\n1101\nNA\n",
"1002\n1003\nNA\nNA\n",
"1000\n2874\nNA\nNA\n",
"0000\n42\nNA\nNA\n",
"0001\n18\n1507\nNA\nNA\n",
"0110\n1507\n0101\nNA\n2013\n",
"0110\n2303\nNA\nNA\n",
"0110\n1507\n1001\nNA\n497\n",
"1000\n1507\n1101\n",
"0010\n1100\nNA\nNA\n",
"0000\n80\n1003\nNA\nNA\n",
"0000\n2874\nNA\nNA\n",
"0000\n42\n7\nNA\n",
"1507\n0101\nNA\nNA\n",
"0110\n2608\nNA\nNA\n",
"1507\n",
"0110\n1507\n1101\nNA\n2781\n",
"0110\n2126\n1001\nNA\n497\n",
"1002\n1003\nNA\n",
"1554\nNA\nNA\n",
"0000\n80\n2802\nNA\nNA\n",
"0010\n42\n1507\nNA\n683\n",
"0111\nNA\nNA\n",
"0110\n2608\nNA\n450\n",
"0110\n1101\nNA\nNA\n",
"1000\n1507\n1100\n",
"1507\n1101\nNA\n",
"0000\n218\n1101\nNA\nNA\n",
"1507\n1001\nNA\nNA\n",
"3058\nNA\n2013\n",
"1000\n1003\nNA\nNA\n",
"0110\n2608\nNA\n528\n",
"0000\n1290\n1101\nNA\nNA\n",
"1507\n1001\nNA\n",
"0000\n206\n1101\nNA\nNA\n",
"0101\n216\nNA\nNA\n",
"1000\n1003\n",
"0000\n1793\n",
"0000\n42\n955\n",
"0010\n42\n1507\nNA\n248\n",
"0001\n18\n780\nNA\nNA\n"
]
} | 6AIZU
|
p00100 Sale Result_1430 | There is data on sales of your company. Your task is to write a program which identifies good workers.
The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p × q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000.
Input
The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of:
n (the number of data in the list)
i p q
i p q
:
:
i p q
Output
For each dataset, print a list of employee IDs or a text "NA"
Example
Input
4
1001 2000 520
1002 1800 450
1003 1600 625
1001 200 1220
2
1001 100 3
1005 1000 100
2
2013 5000 100
2013 5000 100
0
Output
1001
1003
NA
2013 | while True:
try:
n=int(input())
except:
break
if n==0:
break
data={}
staff=[]
for i in range(n):
spam=list(map(int,input().split()))
if spam[0] in data.keys():
data[spam[0]]+=spam[1]*spam[2]
else:
data[spam[0]]=spam[1]*spam[2]
staff.append(spam[0])
if max(data.values())<1000000:
print('NA')
else:
for i in staff:
if data[i] >= 1000000:
print(i) | 3Python3
| {
"input": [
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 4\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1220\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0100 2000 520\n18 2363 347\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 9313 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 1753 712\n14 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 000\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0010 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0110 2000 480\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 247 2276\n2\n1001 100 3\n867 1110 000\n2\n715 7792 000\n2013 9313 110\n0",
"4\n0110 2000 520\n11 2363 29\n1507 837 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n2\n0011 100 3\n943 1100 100\n2\n715 7792 100\n1668 16264 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 14106 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 2654 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 100\n0",
"4\n0010 797 712\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1068 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1145 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 010\n0",
"4\n0110 1753 712\n14 3661 29\n266 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1110 1753 712\n8 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1001 66 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n967 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n2017 3111 625\n0101 200 2276\n2\n1001 110 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 74\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 347\n2731 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 9482 100\n0",
"4\n0110 2000 520\n11 2363 29\n2955 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1110 000\n2\n715 7792 000\n2013 13746 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 17132 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 2454 100\n0",
"4\n0010 2000 829\n14 3661 29\n124 2654 1160\n1101 670 2276\n2\n0011 111 0\n954 1100 000\n2\n888 245 101\n187 426 100\n0",
"4\n0010 2000 712\n14 3661 29\n661 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n1330 245 101\n187 426 000\n0",
"4\n1001 2000 520\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1003 3111 625\n0001 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n1507 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n955 3111 625\n0101 200 2276\n2\n1001 100 4\n867 1010 100\n2\n952 7792 101\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1010 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n296 7792 100\n1668 9313 100\n0",
"4\n1010 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0000 2000 520\n14 3661 29\n1507 2654 1160\n1101 936 2276\n2\n0001 100 0\n954 1100 000\n2\n1187 1354 100\n883 426 100\n0",
"4\n0010 3716 520\n14 3661 29\n1507 2460 80\n1101 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n883 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 230\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 110\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2634 520\n42 3305 450\n1507 255 625\n1101 200 2276\n2\n1001 100 5\n1005 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n1507 3276 1160\n0101 245 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n0 2363 29\n1507 3111 1160\n0101 493 2276\n2\n1011 101 3\n943 1100 100\n2\n715 7792 000\n2013 10156 100\n0",
"4\n0110 2000 520\n11 2363 29\n2303 4647 1160\n1101 348 2276\n2\n1011 101 3\n943 1101 100\n2\n715 7792 000\n2013 1462 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1000 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 375 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n50 426 100\n0",
"4\n0000 2000 1040\n80 1800 840\n1003 3111 625\n1001 200 1220\n2\n1011 100 4\n1005 1000 100\n2\n1030 5000 100\n2013 5000 110\n0",
"4\n0000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n7 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n979 5000 110\n0",
"4\n0110 2000 321\n18 2363 29\n1507 2597 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 9313 100\n0",
"4\n0110 1372 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n299 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0011 110 0\n502 1100 100\n2\n715 1354 100\n2781 27366 100\n0",
"4\n0110 2000 520\n14 2363 29\n2126 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n0\n2013 5000 010\n2817 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1554 3111 625\n0101 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 2352 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 2930 450\n2802 4348 625\n0001 200 2276\n2\n1001 110 4\n1005 1011 100\n2\n683 18 100\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1000 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 729 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2340 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 10606 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 73 2131\n1101 670 2276\n2\n0001 101 0\n954 1100 100\n2\n874 1354 100\n883 2454 100\n0",
"4\n1000 2000 520\n14 2363 50\n1507 2654 1160\n1100 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1101 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n218 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 797 946\n21 3661 29\n1507 2654 1160\n1001 696 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 115 000\n0",
"4\n1011 66 493\n80 1800 450\n3058 1600 1184\n1101 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 788\n0001 327 1220\n2\n1011 100 4\n1005 1000 100\n2\n683 5000 100\n2013 2071 000\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n528 10606 100\n0",
"4\n0000 2000 520\n14 3661 29\n1290 2654 1833\n1101 936 2276\n2\n0001 100 0\n22 1100 000\n2\n1187 2291 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1001 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n206 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0101 2956 520\n80 1800 450\n216 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1010 000\n2\n2013 5000 100\n1161 5000 101\n0",
"4\n1000 2042 520\n80 1800 450\n1003 3111 625\n1001 200 2693\n0\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 110\n0",
"4\n0000 2000 797\n42 3305 74\n1793 3111 625\n0101 200 2276\n0\n0000 100 4\n1621 1000 101\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 4156 450\n955 3111 1165\n0101 262 2276\n0\n1001 100 4\n867 1010 100\n2\n952 7792 001\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 3\n867 1000 000\n2\n248 10470 110\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n780 3276 1160\n0111 245 2276\n2\n1001 100 5\n867 1010 000\n2\n683 1716 000\n2013 5000 100\n0"
],
"output": [
"1001\n1003\nNA\n2013",
"1001\n1003\nNA\n2013\n",
"0001\n1003\nNA\n2013\n",
"0000\n1003\nNA\n2013\n",
"0000\n1003\nNA\nNA\n",
"0000\n1507\nNA\nNA\n",
"0000\n80\n1507\nNA\nNA\n",
"0000\n42\n1507\nNA\nNA\n",
"0000\n18\n1507\nNA\nNA\n",
"0100\n1507\nNA\nNA\n",
"0110\n1507\nNA\nNA\n",
"0110\n1507\n1101\nNA\nNA\n",
"0110\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\nNA\n",
"0010\n1507\nNA\nNA\n",
"1001\n1003\nNA\nNA\n",
"1001\n1796\nNA\n2013\n",
"0101\n1003\nNA\n2013\n",
"0010\n42\n1507\nNA\nNA\n",
"0000\n42\n1507\n",
"1507\nNA\nNA\n",
"0110\n1507\nNA\n2013\n",
"0110\nNA\nNA\n",
"0110\n1103\nNA\nNA\n",
"0110\n1507\nNA\n1668\n",
"0110\n1507\n1101\nNA\n1668\n",
"0110\n1507\n1001\nNA\n883\n",
"0010\n1507\n1101\n",
"0010\n1507\n1100\nNA\nNA\n",
"0010\n1507\n1101\nNA\n",
"1507\n1101\nNA\nNA\n",
"0110\n1068\nNA\nNA\n",
"0110\n1145\nNA\nNA\n",
"0110\n266\nNA\nNA\n",
"1110\n1507\nNA\nNA\n",
"1796\nNA\n2013\n",
"0101\n1003\nNA\nNA\n",
"0000\n1003\nNA\n",
"0000\n80\n2017\nNA\nNA\n",
"0000\n1507\n",
"0000\n42\n1507\nNA\n",
"0000\n2731\nNA\nNA\n",
"0110\n2955\nNA\n2013\n",
"0111\n1507\nNA\nNA\n",
"0110\n1103\nNA\n1668\n",
"0110\n1315\n1101\nNA\nNA\n",
"0010\n124\n1101\nNA\nNA\n",
"0010\n661\n1101\nNA\nNA\n",
"1001\n1002\n1003\nNA\nNA\n",
"1000\n1003\nNA\n",
"1003\nNA\nNA\n",
"1000\n1507\nNA\nNA\n",
"0000\n42\n955\nNA\nNA\n",
"0000\n42\n1507\nNA\n683\n",
"0110\n1507\n0101\nNA\nNA\n",
"0110\n1507\n",
"1010\n1507\n1101\n",
"0000\n1507\n1101\nNA\nNA\n",
"0010\n1101\nNA\nNA\n",
"0010\n1101\nNA\n",
"1002\n1003\nNA\nNA\n",
"1000\n2874\nNA\nNA\n",
"0000\n42\nNA\nNA\n",
"0001\n18\n1507\nNA\nNA\n",
"0110\n1507\n0101\nNA\n2013\n",
"0110\n2303\nNA\nNA\n",
"0110\n1507\n1001\nNA\n497\n",
"1000\n1507\n1101\n",
"0010\n1100\nNA\nNA\n",
"0000\n80\n1003\nNA\nNA\n",
"0000\n2874\nNA\nNA\n",
"0000\n42\n7\nNA\n",
"1507\n0101\nNA\nNA\n",
"0110\n2608\nNA\nNA\n",
"1507\n",
"0110\n1507\n1101\nNA\n2781\n",
"0110\n2126\n1001\nNA\n497\n",
"1002\n1003\nNA\n",
"1554\nNA\nNA\n",
"0000\n80\n2802\nNA\nNA\n",
"0010\n42\n1507\nNA\n683\n",
"0111\nNA\nNA\n",
"0110\n2608\nNA\n450\n",
"0110\n1101\nNA\nNA\n",
"1000\n1507\n1100\n",
"1507\n1101\nNA\n",
"0000\n218\n1101\nNA\nNA\n",
"1507\n1001\nNA\nNA\n",
"3058\nNA\n2013\n",
"1000\n1003\nNA\nNA\n",
"0110\n2608\nNA\n528\n",
"0000\n1290\n1101\nNA\nNA\n",
"1507\n1001\nNA\n",
"0000\n206\n1101\nNA\nNA\n",
"0101\n216\nNA\nNA\n",
"1000\n1003\n",
"0000\n1793\n",
"0000\n42\n955\n",
"0010\n42\n1507\nNA\n248\n",
"0001\n18\n780\nNA\nNA\n"
]
} | 6AIZU
|
p00100 Sale Result_1431 | There is data on sales of your company. Your task is to write a program which identifies good workers.
The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p × q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000.
Input
The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of:
n (the number of data in the list)
i p q
i p q
:
:
i p q
Output
For each dataset, print a list of employee IDs or a text "NA"
Example
Input
4
1001 2000 520
1002 1800 450
1003 1600 625
1001 200 1220
2
1001 100 3
1005 1000 100
2
2013 5000 100
2013 5000 100
0
Output
1001
1003
NA
2013 | import java.io.*;
import java.util.*;
public class Main{
public static void main(String args[]){
try{
new Main();
}catch(IOException err){
err.printStackTrace();
}
}
public Main() throws IOException{
BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
List<Integer> Ans = new ArrayList<Integer>();
String line;
while((line = in.readLine()) != null){
int isGood = 0;
int size = Integer.parseInt(line);
if(size==0) break;
List<Integer> ids = new ArrayList<Integer>();
List<Long> sales = new ArrayList<Long>();
for(int n=0; n<size; n++){
line = in.readLine();
String[] dst = line.split(" ");
int id = Integer.parseInt(dst[0]);
int price = Integer.parseInt(dst[1]);
int num = Integer.parseInt(dst[2]);
long sale = (long)price * (long)num;
if(!ids.contains(id)){
ids.add(id);
sales.add(sale);
}
else{
int index = ids.indexOf(id);
sale = sale + sales.get(index);
sales.set(index, sale);
}
}
for(int n=0; n<ids.size(); n++){
if(sales.get(n) >= 1000000){
Ans.add(ids.get(n));
isGood = 1;
}
}
if(isGood == 0){
Ans.add(-1);
}
}
for(int n=0; n<Ans.size(); n++){
if(Ans.get(n)==-1){
System.out.println("NA");
}
else{
System.out.println(Ans.get(n));
}
}
}
} | 4JAVA
| {
"input": [
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0001 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 4\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1220\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n1507 3111 625\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0100 2000 520\n18 2363 347\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 9313 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 1753 712\n14 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n1001 2000 520\n1002 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 000\n2013 5000 100\n0",
"4\n1001 2000 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0010 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 450\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0110 2000 480\n18 2363 29\n1507 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n715 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 247 2276\n2\n1001 100 3\n867 1110 000\n2\n715 7792 000\n2013 9313 110\n0",
"4\n0110 2000 520\n11 2363 29\n1507 837 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n2\n0011 100 3\n943 1100 100\n2\n715 7792 100\n1668 16264 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0001 100 0\n502 1100 100\n2\n715 1354 100\n1668 14106 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 10861 100\n0",
"4\n0010 2000 520\n14 2363 29\n1507 2654 1160\n1101 670 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 2654 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 100\n0",
"4\n0010 797 712\n14 3661 29\n1507 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1068 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 000\n0",
"4\n0110 1753 712\n14 3661 29\n1145 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 101\n187 346 010\n0",
"4\n0110 1753 712\n14 3661 29\n266 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1110 1753 712\n8 3661 29\n1507 2654 1160\n1101 451 793\n2\n0010 001 0\n1433 1100 000\n2\n888 207 100\n141 346 010\n0",
"4\n1001 66 520\n80 1800 450\n1796 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n0101 2000 520\n80 1800 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n967 5000 100\n0",
"4\n0000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 3305 450\n2017 3111 625\n0101 200 2276\n2\n1001 110 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 3305 74\n1507 3111 625\n0101 200 2276\n0\n1001 100 4\n1621 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n18 2363 347\n2731 3111 1160\n0101 200 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 9482 100\n0",
"4\n0110 2000 520\n11 2363 29\n2955 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1110 000\n2\n715 7792 000\n2013 13746 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 3111 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1103 3111 1160\n1101 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n1668 17132 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 2654 1160\n1101 670 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 2454 100\n0",
"4\n0010 2000 829\n14 3661 29\n124 2654 1160\n1101 670 2276\n2\n0011 111 0\n954 1100 000\n2\n888 245 101\n187 426 100\n0",
"4\n0010 2000 712\n14 3661 29\n661 2654 1160\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n2\n1330 245 101\n187 426 000\n0",
"4\n1001 2000 520\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 625\n1001 200 1472\n2\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1003 3111 625\n0001 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n1507 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n955 3111 625\n0101 200 2276\n2\n1001 100 4\n867 1010 100\n2\n952 7792 101\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1010 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0110 2000 520\n18 2363 29\n1507 3111 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n296 7792 100\n1668 9313 100\n0",
"4\n1010 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0000 2000 520\n14 3661 29\n1507 2654 1160\n1101 936 2276\n2\n0001 100 0\n954 1100 000\n2\n1187 1354 100\n883 426 100\n0",
"4\n0010 3716 520\n14 3661 29\n1507 2460 80\n1101 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n883 426 100\n0",
"4\n0010 2000 1291\n14 3661 29\n1507 2654 230\n1101 451 2276\n2\n0011 101 0\n1433 1100 000\n0\n888 245 101\n187 426 110\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 010\n2013 5000 100\n0",
"4\n1000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2634 520\n42 3305 450\n1507 255 625\n1101 200 2276\n2\n1001 100 5\n1005 1010 100\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n1507 3276 1160\n0101 245 2276\n2\n1001 100 3\n867 1010 000\n2\n683 7792 000\n2013 5000 100\n0",
"4\n0110 2000 520\n0 2363 29\n1507 3111 1160\n0101 493 2276\n2\n1011 101 3\n943 1100 100\n2\n715 7792 000\n2013 10156 100\n0",
"4\n0110 2000 520\n11 2363 29\n2303 4647 1160\n1101 348 2276\n2\n1011 101 3\n943 1101 100\n2\n715 7792 000\n2013 1462 100\n0",
"4\n0110 2000 520\n14 2363 29\n1507 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1000 2000 520\n14 2363 29\n1507 2654 1160\n1101 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 2000 520\n14 3661 29\n1507 375 1160\n1100 670 2276\n2\n0011 100 0\n954 1100 000\n2\n715 245 100\n50 426 100\n0",
"4\n0000 2000 1040\n80 1800 840\n1003 3111 625\n1001 200 1220\n2\n1011 100 4\n1005 1000 100\n2\n1030 5000 100\n2013 5000 110\n0",
"4\n0000 2995 520\n80 1800 450\n2874 3111 566\n0001 200 2276\n2\n1001 100 4\n1005 1010 100\n2\n683 5000 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 2363 450\n7 3111 1160\n0101 200 2276\n2\n1001 110 3\n867 1010 000\n0\n683 7792 100\n979 5000 110\n0",
"4\n0110 2000 321\n18 2363 29\n1507 2597 1160\n0101 296 3828\n2\n1011 110 3\n867 1110 000\n2\n715 7792 000\n2013 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 9313 100\n0",
"4\n0110 1372 520\n11 2363 29\n1507 4437 1160\n1101 348 2276\n0\n0011 100 0\n943 1100 100\n2\n299 7792 100\n1668 9313 100\n0",
"4\n0110 2000 520\n11 2363 29\n1507 8024 1160\n1101 670 2276\n2\n0011 110 0\n502 1100 100\n2\n715 1354 100\n2781 27366 100\n0",
"4\n0110 2000 520\n14 2363 29\n2126 2654 1160\n1001 920 2276\n2\n0001 100 0\n954 1100 100\n2\n715 1354 101\n497 10861 100\n0",
"4\n1001 2000 5\n1002 3520 450\n1003 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1000 100\n0\n2013 5000 010\n2817 5000 100\n0",
"4\n0000 875 520\n80 1800 450\n1554 3111 625\n0101 200 2276\n2\n1001 111 4\n1005 1010 100\n2\n683 2352 100\n2013 5000 100\n0",
"4\n0000 2000 520\n80 2930 450\n2802 4348 625\n0001 200 2276\n2\n1001 110 4\n1005 1011 100\n2\n683 18 100\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 4\n867 1000 000\n2\n683 10470 110\n2013 5000 100\n0",
"4\n0111 2000 520\n11 2363 46\n1507 729 1160\n0101 348 2276\n2\n1011 100 3\n943 1100 000\n2\n715 7792 000\n2340 9313 100\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n450 10606 100\n0",
"4\n0110 2000 520\n11 2363 29\n1315 73 2131\n1101 670 2276\n2\n0001 101 0\n954 1100 100\n2\n874 1354 100\n883 2454 100\n0",
"4\n1000 2000 520\n14 2363 50\n1507 2654 1160\n1100 1328 2276\n0\n0001 100 0\n954 1100 100\n2\n715 1354 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1101 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n218 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0010 797 946\n21 3661 29\n1507 2654 1160\n1001 696 2276\n2\n0011 101 0\n1433 1100 000\n2\n888 207 101\n187 115 000\n0",
"4\n1011 66 493\n80 1800 450\n3058 1600 1184\n1101 200 1220\n2\n1001 100 3\n1005 1000 100\n2\n2013 5000 100\n2013 5000 100\n0",
"4\n1000 2000 520\n80 1800 450\n1003 3111 788\n0001 327 1220\n2\n1011 100 4\n1005 1000 100\n2\n683 5000 100\n2013 2071 000\n0",
"4\n0110 2000 520\n11 356 47\n2608 3111 1160\n1111 348 2276\n2\n0011 101 3\n943 1100 100\n2\n715 7792 100\n528 10606 100\n0",
"4\n0000 2000 520\n14 3661 29\n1290 2654 1833\n1101 936 2276\n2\n0001 100 0\n22 1100 000\n2\n1187 2291 100\n883 426 100\n0",
"4\n0010 591 1029\n14 3661 29\n1507 2654 1160\n1001 670 3725\n2\n0011 100 -1\n954 1100 000\n0\n678 245 100\n187 426 100\n0",
"4\n0000 2000 829\n14 3661 40\n206 6143 1160\n1101 670 2276\n2\n0011 001 0\n954 1100 000\n2\n715 245 100\n187 426 100\n0",
"4\n0101 2956 520\n80 1800 450\n216 1600 625\n1001 200 1220\n2\n1001 100 3\n1005 1010 000\n2\n2013 5000 100\n1161 5000 101\n0",
"4\n1000 2042 520\n80 1800 450\n1003 3111 625\n1001 200 2693\n0\n1001 100 4\n1005 1010 100\n0\n683 5000 100\n2013 5000 110\n0",
"4\n0000 2000 797\n42 3305 74\n1793 3111 625\n0101 200 2276\n0\n0000 100 4\n1621 1000 101\n2\n683 7792 100\n2013 5000 100\n0",
"4\n0000 2000 520\n42 4156 450\n955 3111 1165\n0101 262 2276\n0\n1001 100 4\n867 1010 100\n2\n952 7792 001\n2013 5000 100\n0",
"4\n0010 2000 672\n42 2363 450\n1507 3111 1160\n0101 200 1270\n2\n1001 100 3\n867 1000 000\n2\n248 10470 110\n2013 5000 100\n0",
"4\n0001 2000 520\n18 2363 763\n780 3276 1160\n0111 245 2276\n2\n1001 100 5\n867 1010 000\n2\n683 1716 000\n2013 5000 100\n0"
],
"output": [
"1001\n1003\nNA\n2013",
"1001\n1003\nNA\n2013\n",
"0001\n1003\nNA\n2013\n",
"0000\n1003\nNA\n2013\n",
"0000\n1003\nNA\nNA\n",
"0000\n1507\nNA\nNA\n",
"0000\n80\n1507\nNA\nNA\n",
"0000\n42\n1507\nNA\nNA\n",
"0000\n18\n1507\nNA\nNA\n",
"0100\n1507\nNA\nNA\n",
"0110\n1507\nNA\nNA\n",
"0110\n1507\n1101\nNA\nNA\n",
"0110\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\n883\n",
"0010\n1507\n1101\nNA\nNA\n",
"0010\n1507\nNA\nNA\n",
"1001\n1003\nNA\nNA\n",
"1001\n1796\nNA\n2013\n",
"0101\n1003\nNA\n2013\n",
"0010\n42\n1507\nNA\nNA\n",
"0000\n42\n1507\n",
"1507\nNA\nNA\n",
"0110\n1507\nNA\n2013\n",
"0110\nNA\nNA\n",
"0110\n1103\nNA\nNA\n",
"0110\n1507\nNA\n1668\n",
"0110\n1507\n1101\nNA\n1668\n",
"0110\n1507\n1001\nNA\n883\n",
"0010\n1507\n1101\n",
"0010\n1507\n1100\nNA\nNA\n",
"0010\n1507\n1101\nNA\n",
"1507\n1101\nNA\nNA\n",
"0110\n1068\nNA\nNA\n",
"0110\n1145\nNA\nNA\n",
"0110\n266\nNA\nNA\n",
"1110\n1507\nNA\nNA\n",
"1796\nNA\n2013\n",
"0101\n1003\nNA\nNA\n",
"0000\n1003\nNA\n",
"0000\n80\n2017\nNA\nNA\n",
"0000\n1507\n",
"0000\n42\n1507\nNA\n",
"0000\n2731\nNA\nNA\n",
"0110\n2955\nNA\n2013\n",
"0111\n1507\nNA\nNA\n",
"0110\n1103\nNA\n1668\n",
"0110\n1315\n1101\nNA\nNA\n",
"0010\n124\n1101\nNA\nNA\n",
"0010\n661\n1101\nNA\nNA\n",
"1001\n1002\n1003\nNA\nNA\n",
"1000\n1003\nNA\n",
"1003\nNA\nNA\n",
"1000\n1507\nNA\nNA\n",
"0000\n42\n955\nNA\nNA\n",
"0000\n42\n1507\nNA\n683\n",
"0110\n1507\n0101\nNA\nNA\n",
"0110\n1507\n",
"1010\n1507\n1101\n",
"0000\n1507\n1101\nNA\nNA\n",
"0010\n1101\nNA\nNA\n",
"0010\n1101\nNA\n",
"1002\n1003\nNA\nNA\n",
"1000\n2874\nNA\nNA\n",
"0000\n42\nNA\nNA\n",
"0001\n18\n1507\nNA\nNA\n",
"0110\n1507\n0101\nNA\n2013\n",
"0110\n2303\nNA\nNA\n",
"0110\n1507\n1001\nNA\n497\n",
"1000\n1507\n1101\n",
"0010\n1100\nNA\nNA\n",
"0000\n80\n1003\nNA\nNA\n",
"0000\n2874\nNA\nNA\n",
"0000\n42\n7\nNA\n",
"1507\n0101\nNA\nNA\n",
"0110\n2608\nNA\nNA\n",
"1507\n",
"0110\n1507\n1101\nNA\n2781\n",
"0110\n2126\n1001\nNA\n497\n",
"1002\n1003\nNA\n",
"1554\nNA\nNA\n",
"0000\n80\n2802\nNA\nNA\n",
"0010\n42\n1507\nNA\n683\n",
"0111\nNA\nNA\n",
"0110\n2608\nNA\n450\n",
"0110\n1101\nNA\nNA\n",
"1000\n1507\n1100\n",
"1507\n1101\nNA\n",
"0000\n218\n1101\nNA\nNA\n",
"1507\n1001\nNA\nNA\n",
"3058\nNA\n2013\n",
"1000\n1003\nNA\nNA\n",
"0110\n2608\nNA\n528\n",
"0000\n1290\n1101\nNA\nNA\n",
"1507\n1001\nNA\n",
"0000\n206\n1101\nNA\nNA\n",
"0101\n216\nNA\nNA\n",
"1000\n1003\n",
"0000\n1793\n",
"0000\n42\n955\n",
"0010\n42\n1507\nNA\n248\n",
"0001\n18\n780\nNA\nNA\n"
]
} | 6AIZU
|
p00232 Life Game_1432 | Taro went to a toy store to buy a game of life made by Aizu Hobby. Life games are played using a board with squares and roulette. As shown in the figure, the board has one start point and one goal point, which are connected by a single grid. First, the pieces are placed in the square at the starting point, and the pieces are advanced according to the number of pieces that are turned by turning the roulette wheel. Depending on the square, there are event squares where you can earn money or change the position of the pieces by stopping or passing there. The final victory or defeat is determined by the amount of money you have when the piece reaches the goal point.
<image>
The interesting thing about the game of life at this company is that the size of the roulette eyes, the number of squares to the goal, and the arrangement of the event squares are different for each package. They are written on the case and can be confirmed by reading it. Taro wants to choose the life game that earns the most money, and wants to buy the one with the highest expected value of money. So you decided to help Taro choose a game.
Suppose a roulette wheel divides its circumference into X equal parts, each filled with the values V1, V2, ..., VX. The board has squares numbered 0, 1, ..., Y, and they are connected in order. There are Z special squares called event squares in the squares, and when they reach them, they perform special actions. The number of the square of the event square is given by Ni. There are 1 to 3 types (Ei) of event masses, each of which performs the following actions:
Type (Ei) | Special Behavior | Value (Ai) Range
--- | --- | ---
1 | Advance by the specified value Ai | 1 ~ 10
2 | Get the amount of the specified value Ai | 1 ~ 100
3 | Pay the amount of the specified value Ai | 1 ~ 100
The first amount of money you have is 0 yen, starting from the 0th square and reaching the goal when you reach the Yth square. If you exceed the goal, it is also considered as a goal. There are no events at the start and goal, and multiple events do not overlap in one square. Ignore the events in the squares that are advanced by the event. If the amount of money you have is less than 0 yen, it will be 0 yen.
For example, the expected value of money earned in a life game can be calculated as follows.
<image>
This example shows a life game consisting of three squares: start, event square (get 100 yen), goal, and roulette with 1 or 2. First, when you turn the roulette wheel for the first time, if you get a 1, you will reach the event square and your money will be 100 yen. On the other hand, if you get a 2, you will reach the goal and your money will remain at 0 yen. Both of these occur with a one-half chance.
In addition, if you reach the event square the first time, you will turn the roulette wheel the second time, but you will reach the goal no matter what value you get, and you will have 100 yen in each case.
As you can see, there are three ways to reach the goal. Focusing on the amount of money you have when you reach the goal, there is one case where the amount is 0 yen and the probability is one half, and there are two cases where the probability is 100 yen and the probability is one quarter. In this case, the expected value of the amount of money you have at the goal is the sum of (the amount of money you have x the probability) for each goal method, and the expected value of this life game is 50 yen.
Create a program that inputs roulette information and board information and outputs the expected value of the amount of money you have at the goal.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by three zero lines. Each dataset is given in the following format:
X Y Z
V1 V2 ... VX
N1 E1 A1
N2 E2 A2
::
NZ EZ AZ
X (1 ≤ X ≤ 4), Vi (1 ≤ Vi ≤ 10), Y (1 ≤ Y ≤ 50), Ni (1 ≤ Ni ≤ Y-1), Z (0 ≤ Z ≤ Y-1), Ei (1 ≤ Ei ≤ 3), Ai (1 ≤ Ai ≤ 100) are given as integers.
The number of datasets does not exceed 100.
Output
For each input dataset, the expected value of the final amount of money is output on one line. Please output the expected value of your money as an integer rounded down to the nearest whole number.
Example
Input
1 2 0
1
1 2 1
1
1 2 100
1 2 1
2
1 2 100
2 2 1
1 2
1 2 100
4 5 3
1 2 3 4
1 1 2
2 2 100
4 3 60
0 0 0
Output
0
100
0
50
20 | while True:
x, y, z = map(int, raw_input().split())
if x==0 and y==0 and z==0: break
dp = [[0.0 for col in range(5101)] for row in range(61)]
m = {}
for i in range(y+10):
m[i] = (0,0)
v = []
v = map(int, raw_input().split())
for i in range(z):
n, e, a = map(int, raw_input().split())
m[n] = (e, a)
dp[0][0] = 1.0
for i in range(y):
for j in range(y*100):
if dp[i][j] == 0.0: continue
for k in range(x):
nx = i + v[k]
if m[nx][0] == 1:
dp[min(y,nx+m[nx][1])][j]+=dp[i][j]/x
elif m[nx][0]==2:
dp[nx][j+m[nx][1]]+=dp[i][j]/x
elif m[nx][0]==3:
dp[nx][max(0,j-m[nx][1])]+=dp[i][j]/x
else:
dp[min(y,nx)][j] += dp[i][j]/x
ans = 0.0
for i in range(5001):
ans += dp[y][i]*i
print int(ans) | 1Python2
| {
"input": [
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n0 1 2\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 1 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 2 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 000\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 3 111\n1 3 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 4\n2 2 100\n4 3 9\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 5\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 3 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 0 0\n2 2 000\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 1 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 1 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 1 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 33\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n1 3 46\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 8\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 6 3\n2 2 5 4\n0 1 0\n2 2 100\n4 3 5\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n2 2 100\n4 5 3\n1 1 3 6\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 101\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 3 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 3 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 1\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 1 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 101\n1 2 1\n2\n1 2 110\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 1\n1 2 100\n4 5 3\n1 2 3 6\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 2 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 8\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 4 0\n1\n1 3 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 6\n1 1 2\n2 1 100\n4 3 5\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n0 1 0\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 29\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 3 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 -1\n2 2 100\n1 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n2 2 011\n1 2 1\n2\n1 2 110\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 3\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 5 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 4 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 4 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n1\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 1 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n2 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 4 1\n1\n1 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 011\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 69\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n3 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 110\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n2 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 1 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 3\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 3 3 4\n1 2 2\n2 2 100\n4 3 3\n0 0 0"
],
"output": [
"0\n100\n0\n50\n20",
"0\n101\n0\n50\n20\n",
"0\n101\n0\n50\n22\n",
"0\n101\n0\n0\n20\n",
"0\n101\n100\n50\n22\n",
"0\n100\n0\n50\n24\n",
"0\n100\n100\n50\n22\n",
"0\n111\n0\n0\n20\n",
"0\n1\n0\n50\n20\n",
"0\n100\n0\n50\n30\n",
"0\n1\n0\n50\n25\n",
"0\n100\n0\n55\n30\n",
"0\n110\n0\n55\n30\n",
"0\n101\n0\n50\n28\n",
"0\n100\n100\n50\n24\n",
"0\n1\n0\n50\n0\n",
"0\n100\n100\n50\n0\n",
"0\n101\n100\n50\n0\n",
"0\n101\n0\n0\n0\n",
"0\n0\n0\n50\n24\n",
"0\n110\n0\n50\n24\n",
"0\n0\n0\n50\n30\n",
"0\n110\n0\n55\n0\n",
"0\n101\n0\n50\n27\n",
"0\n0\n0\n0\n20\n",
"0\n101\n100\n50\n24\n",
"0\n1\n100\n50\n25\n",
"0\n101\n0\n50\n24\n",
"0\n100\n100\n0\n0\n",
"0\n101\n0\n50\n0\n",
"0\n111\n0\n50\n22\n",
"0\n111\n0\n0\n19\n",
"0\n0\n100\n50\n30\n",
"0\n0\n0\n50\n20\n",
"0\n1\n100\n55\n25\n",
"0\n0\n100\n50\n49\n",
"0\n0\n0\n55\n0\n",
"0\n101\n0\n50\n34\n",
"0\n111\n0\n0\n0\n",
"0\n0\n0\n50\n22\n",
"0\n1\n100\n0\n25\n",
"0\n110\n0\n0\n0\n",
"0\n100\n0\n50\n20\n",
"0\n101\n0\n50\n31\n",
"0\n100\n100\n0\n22\n",
"0\n110\n0\n0\n24\n",
"0\n101\n0\n50\n25\n",
"0\n100\n100\n50\n21\n",
"0\n1\n100\n50\n28\n",
"0\n100\n100\n50\n23\n",
"0\n0\n0\n0\n24\n",
"0\n101\n100\n50\n20\n",
"0\n0\n0\n50\n25\n",
"0\n0\n100\n0\n0\n",
"0\n111\n0\n50\n28\n",
"0\n1\n100\n55\n0\n",
"0\n0\n100\n50\n48\n",
"0\n111\n0\n100\n0\n",
"0\n100\n0\n50\n25\n",
"0\n101\n0\n0\n35\n",
"0\n0\n0\n50\n0\n",
"0\n100\n0\n55\n6\n",
"0\n100\n0\n0\n30\n",
"0\n101\n0\n50\n50\n",
"0\n1\n0\n55\n0\n",
"0\n101\n0\n50\n1\n",
"0\n111\n0\n50\n20\n",
"0\n100\n100\n50\n42\n",
"0\n0\n0\n0\n0\n",
"0\n111\n0\n55\n0\n",
"0\n0\n100\n50\n0\n",
"0\n111\n100\n50\n22\n",
"0\n0\n0\n50\n28\n",
"0\n0\n100\n50\n50\n",
"0\n100\n0\n0\n31\n",
"0\n11\n0\n0\n19\n",
"0\n111\n0\n50\n6\n",
"0\n100\n0\n50\n0\n",
"0\n100\n101\n0\n31\n",
"0\n0\n0\n55\n28\n",
"0\n0\n0\n55\n22\n",
"0\n101\n100\n0\n20\n",
"0\n100\n100\n50\n25\n",
"0\n100\n100\n0\n24\n",
"0\n101\n0\n0\n22\n",
"0\n100\n0\n0\n0\n",
"0\n100\n0\n50\n22\n",
"0\n101\n0\n55\n27\n",
"0\n11\n100\n50\n25\n",
"0\n101\n0\n50\n2\n",
"0\n101\n0\n50\n19\n",
"0\n1\n0\n55\n25\n",
"0\n0\n100\n50\n24\n",
"0\n110\n0\n0\n31\n",
"0\n100\n0\n55\n0\n",
"0\n110\n100\n50\n21\n",
"0\n0\n0\n0\n49\n",
"0\n111\n0\n0\n31\n",
"0\n100\n0\n50\n50\n",
"0\n101\n0\n0\n30\n",
"0\n0\n0\n50\n6\n"
]
} | 6AIZU
|
p00232 Life Game_1433 | Taro went to a toy store to buy a game of life made by Aizu Hobby. Life games are played using a board with squares and roulette. As shown in the figure, the board has one start point and one goal point, which are connected by a single grid. First, the pieces are placed in the square at the starting point, and the pieces are advanced according to the number of pieces that are turned by turning the roulette wheel. Depending on the square, there are event squares where you can earn money or change the position of the pieces by stopping or passing there. The final victory or defeat is determined by the amount of money you have when the piece reaches the goal point.
<image>
The interesting thing about the game of life at this company is that the size of the roulette eyes, the number of squares to the goal, and the arrangement of the event squares are different for each package. They are written on the case and can be confirmed by reading it. Taro wants to choose the life game that earns the most money, and wants to buy the one with the highest expected value of money. So you decided to help Taro choose a game.
Suppose a roulette wheel divides its circumference into X equal parts, each filled with the values V1, V2, ..., VX. The board has squares numbered 0, 1, ..., Y, and they are connected in order. There are Z special squares called event squares in the squares, and when they reach them, they perform special actions. The number of the square of the event square is given by Ni. There are 1 to 3 types (Ei) of event masses, each of which performs the following actions:
Type (Ei) | Special Behavior | Value (Ai) Range
--- | --- | ---
1 | Advance by the specified value Ai | 1 ~ 10
2 | Get the amount of the specified value Ai | 1 ~ 100
3 | Pay the amount of the specified value Ai | 1 ~ 100
The first amount of money you have is 0 yen, starting from the 0th square and reaching the goal when you reach the Yth square. If you exceed the goal, it is also considered as a goal. There are no events at the start and goal, and multiple events do not overlap in one square. Ignore the events in the squares that are advanced by the event. If the amount of money you have is less than 0 yen, it will be 0 yen.
For example, the expected value of money earned in a life game can be calculated as follows.
<image>
This example shows a life game consisting of three squares: start, event square (get 100 yen), goal, and roulette with 1 or 2. First, when you turn the roulette wheel for the first time, if you get a 1, you will reach the event square and your money will be 100 yen. On the other hand, if you get a 2, you will reach the goal and your money will remain at 0 yen. Both of these occur with a one-half chance.
In addition, if you reach the event square the first time, you will turn the roulette wheel the second time, but you will reach the goal no matter what value you get, and you will have 100 yen in each case.
As you can see, there are three ways to reach the goal. Focusing on the amount of money you have when you reach the goal, there is one case where the amount is 0 yen and the probability is one half, and there are two cases where the probability is 100 yen and the probability is one quarter. In this case, the expected value of the amount of money you have at the goal is the sum of (the amount of money you have x the probability) for each goal method, and the expected value of this life game is 50 yen.
Create a program that inputs roulette information and board information and outputs the expected value of the amount of money you have at the goal.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by three zero lines. Each dataset is given in the following format:
X Y Z
V1 V2 ... VX
N1 E1 A1
N2 E2 A2
::
NZ EZ AZ
X (1 ≤ X ≤ 4), Vi (1 ≤ Vi ≤ 10), Y (1 ≤ Y ≤ 50), Ni (1 ≤ Ni ≤ Y-1), Z (0 ≤ Z ≤ Y-1), Ei (1 ≤ Ei ≤ 3), Ai (1 ≤ Ai ≤ 100) are given as integers.
The number of datasets does not exceed 100.
Output
For each input dataset, the expected value of the final amount of money is output on one line. Please output the expected value of your money as an integer rounded down to the nearest whole number.
Example
Input
1 2 0
1
1 2 1
1
1 2 100
1 2 1
2
1 2 100
2 2 1
1 2
1 2 100
4 5 3
1 2 3 4
1 1 2
2 2 100
4 3 60
0 0 0
Output
0
100
0
50
20 | #include <bits/stdc++.h>
using namespace std;
double mem[51][5001];
int x,y,z,v[100],used[51][5001];
struct po{int e,a;};
po E[101];
double dfs(int pos,int mo){
if(pos==y) return mo;
if(used[pos][mo]) return mem[pos][mo];
used[pos][mo]=1;
for(int i=0;i<x;i++) {
int npos=min(y,pos+v[i]),nmo=mo;
int e=E[npos].e, a=E[npos].a;
if(e){
if(e==1)npos=min(y,npos+a);
if(e==2)nmo+=a;
if(e==3)nmo=max(0,nmo-a);
}
mem[pos][mo] += dfs(npos,nmo)/x;
}
return mem[pos][mo];
}
int main(){
while(1){
cin>>x>>y>>z;
if(!x&&!y&&!z)break;
for(int i=0;i<x;i++)cin>>v[i];
memset(E,0,sizeof(E));
for(int i=0,a;i<z;i++)cin>>a,cin>>E[a].e>>E[a].a;
memset(used,0,sizeof(used));
for(int i=0;i<51;i++)for(int j=0;j<5001;j++) mem[i][j]=0;
cout <<(int)dfs(0,0)<<endl;
}
return 0;
} | 2C++
| {
"input": [
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"1 2 0\n1\n1 2 1\n1\n2 3 111\n1 3 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
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"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 4\n2 2 100\n4 3 9\n0 0 0",
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"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 3 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
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"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
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"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 1 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 1 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 1 100\n4 3 0\n0 0 0",
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"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
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"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 1\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
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"1 2 0\n1\n1 1 1\n1\n1 2 101\n1 2 1\n2\n1 2 110\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 3 60\n0 0 0",
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"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 2 2\n2 2 100\n4 3 32\n0 0 0",
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"1 4 0\n1\n1 3 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 6\n1 1 2\n2 1 100\n4 3 5\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n0 1 0\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 29\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 3 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 -1\n2 2 100\n1 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n2 2 011\n1 2 1\n2\n1 2 110\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 3\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 5 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 4 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 4 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n1\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 1 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n2 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 4 1\n1\n1 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 011\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 69\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n3 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 110\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n2 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 1 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 3\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 3 3 4\n1 2 2\n2 2 100\n4 3 3\n0 0 0"
],
"output": [
"0\n100\n0\n50\n20",
"0\n101\n0\n50\n20\n",
"0\n101\n0\n50\n22\n",
"0\n101\n0\n0\n20\n",
"0\n101\n100\n50\n22\n",
"0\n100\n0\n50\n24\n",
"0\n100\n100\n50\n22\n",
"0\n111\n0\n0\n20\n",
"0\n1\n0\n50\n20\n",
"0\n100\n0\n50\n30\n",
"0\n1\n0\n50\n25\n",
"0\n100\n0\n55\n30\n",
"0\n110\n0\n55\n30\n",
"0\n101\n0\n50\n28\n",
"0\n100\n100\n50\n24\n",
"0\n1\n0\n50\n0\n",
"0\n100\n100\n50\n0\n",
"0\n101\n100\n50\n0\n",
"0\n101\n0\n0\n0\n",
"0\n0\n0\n50\n24\n",
"0\n110\n0\n50\n24\n",
"0\n0\n0\n50\n30\n",
"0\n110\n0\n55\n0\n",
"0\n101\n0\n50\n27\n",
"0\n0\n0\n0\n20\n",
"0\n101\n100\n50\n24\n",
"0\n1\n100\n50\n25\n",
"0\n101\n0\n50\n24\n",
"0\n100\n100\n0\n0\n",
"0\n101\n0\n50\n0\n",
"0\n111\n0\n50\n22\n",
"0\n111\n0\n0\n19\n",
"0\n0\n100\n50\n30\n",
"0\n0\n0\n50\n20\n",
"0\n1\n100\n55\n25\n",
"0\n0\n100\n50\n49\n",
"0\n0\n0\n55\n0\n",
"0\n101\n0\n50\n34\n",
"0\n111\n0\n0\n0\n",
"0\n0\n0\n50\n22\n",
"0\n1\n100\n0\n25\n",
"0\n110\n0\n0\n0\n",
"0\n100\n0\n50\n20\n",
"0\n101\n0\n50\n31\n",
"0\n100\n100\n0\n22\n",
"0\n110\n0\n0\n24\n",
"0\n101\n0\n50\n25\n",
"0\n100\n100\n50\n21\n",
"0\n1\n100\n50\n28\n",
"0\n100\n100\n50\n23\n",
"0\n0\n0\n0\n24\n",
"0\n101\n100\n50\n20\n",
"0\n0\n0\n50\n25\n",
"0\n0\n100\n0\n0\n",
"0\n111\n0\n50\n28\n",
"0\n1\n100\n55\n0\n",
"0\n0\n100\n50\n48\n",
"0\n111\n0\n100\n0\n",
"0\n100\n0\n50\n25\n",
"0\n101\n0\n0\n35\n",
"0\n0\n0\n50\n0\n",
"0\n100\n0\n55\n6\n",
"0\n100\n0\n0\n30\n",
"0\n101\n0\n50\n50\n",
"0\n1\n0\n55\n0\n",
"0\n101\n0\n50\n1\n",
"0\n111\n0\n50\n20\n",
"0\n100\n100\n50\n42\n",
"0\n0\n0\n0\n0\n",
"0\n111\n0\n55\n0\n",
"0\n0\n100\n50\n0\n",
"0\n111\n100\n50\n22\n",
"0\n0\n0\n50\n28\n",
"0\n0\n100\n50\n50\n",
"0\n100\n0\n0\n31\n",
"0\n11\n0\n0\n19\n",
"0\n111\n0\n50\n6\n",
"0\n100\n0\n50\n0\n",
"0\n100\n101\n0\n31\n",
"0\n0\n0\n55\n28\n",
"0\n0\n0\n55\n22\n",
"0\n101\n100\n0\n20\n",
"0\n100\n100\n50\n25\n",
"0\n100\n100\n0\n24\n",
"0\n101\n0\n0\n22\n",
"0\n100\n0\n0\n0\n",
"0\n100\n0\n50\n22\n",
"0\n101\n0\n55\n27\n",
"0\n11\n100\n50\n25\n",
"0\n101\n0\n50\n2\n",
"0\n101\n0\n50\n19\n",
"0\n1\n0\n55\n25\n",
"0\n0\n100\n50\n24\n",
"0\n110\n0\n0\n31\n",
"0\n100\n0\n55\n0\n",
"0\n110\n100\n50\n21\n",
"0\n0\n0\n0\n49\n",
"0\n111\n0\n0\n31\n",
"0\n100\n0\n50\n50\n",
"0\n101\n0\n0\n30\n",
"0\n0\n0\n50\n6\n"
]
} | 6AIZU
|
p00232 Life Game_1434 | Taro went to a toy store to buy a game of life made by Aizu Hobby. Life games are played using a board with squares and roulette. As shown in the figure, the board has one start point and one goal point, which are connected by a single grid. First, the pieces are placed in the square at the starting point, and the pieces are advanced according to the number of pieces that are turned by turning the roulette wheel. Depending on the square, there are event squares where you can earn money or change the position of the pieces by stopping or passing there. The final victory or defeat is determined by the amount of money you have when the piece reaches the goal point.
<image>
The interesting thing about the game of life at this company is that the size of the roulette eyes, the number of squares to the goal, and the arrangement of the event squares are different for each package. They are written on the case and can be confirmed by reading it. Taro wants to choose the life game that earns the most money, and wants to buy the one with the highest expected value of money. So you decided to help Taro choose a game.
Suppose a roulette wheel divides its circumference into X equal parts, each filled with the values V1, V2, ..., VX. The board has squares numbered 0, 1, ..., Y, and they are connected in order. There are Z special squares called event squares in the squares, and when they reach them, they perform special actions. The number of the square of the event square is given by Ni. There are 1 to 3 types (Ei) of event masses, each of which performs the following actions:
Type (Ei) | Special Behavior | Value (Ai) Range
--- | --- | ---
1 | Advance by the specified value Ai | 1 ~ 10
2 | Get the amount of the specified value Ai | 1 ~ 100
3 | Pay the amount of the specified value Ai | 1 ~ 100
The first amount of money you have is 0 yen, starting from the 0th square and reaching the goal when you reach the Yth square. If you exceed the goal, it is also considered as a goal. There are no events at the start and goal, and multiple events do not overlap in one square. Ignore the events in the squares that are advanced by the event. If the amount of money you have is less than 0 yen, it will be 0 yen.
For example, the expected value of money earned in a life game can be calculated as follows.
<image>
This example shows a life game consisting of three squares: start, event square (get 100 yen), goal, and roulette with 1 or 2. First, when you turn the roulette wheel for the first time, if you get a 1, you will reach the event square and your money will be 100 yen. On the other hand, if you get a 2, you will reach the goal and your money will remain at 0 yen. Both of these occur with a one-half chance.
In addition, if you reach the event square the first time, you will turn the roulette wheel the second time, but you will reach the goal no matter what value you get, and you will have 100 yen in each case.
As you can see, there are three ways to reach the goal. Focusing on the amount of money you have when you reach the goal, there is one case where the amount is 0 yen and the probability is one half, and there are two cases where the probability is 100 yen and the probability is one quarter. In this case, the expected value of the amount of money you have at the goal is the sum of (the amount of money you have x the probability) for each goal method, and the expected value of this life game is 50 yen.
Create a program that inputs roulette information and board information and outputs the expected value of the amount of money you have at the goal.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by three zero lines. Each dataset is given in the following format:
X Y Z
V1 V2 ... VX
N1 E1 A1
N2 E2 A2
::
NZ EZ AZ
X (1 ≤ X ≤ 4), Vi (1 ≤ Vi ≤ 10), Y (1 ≤ Y ≤ 50), Ni (1 ≤ Ni ≤ Y-1), Z (0 ≤ Z ≤ Y-1), Ei (1 ≤ Ei ≤ 3), Ai (1 ≤ Ai ≤ 100) are given as integers.
The number of datasets does not exceed 100.
Output
For each input dataset, the expected value of the final amount of money is output on one line. Please output the expected value of your money as an integer rounded down to the nearest whole number.
Example
Input
1 2 0
1
1 2 1
1
1 2 100
1 2 1
2
1 2 100
2 2 1
1 2
1 2 100
4 5 3
1 2 3 4
1 1 2
2 2 100
4 3 60
0 0 0
Output
0
100
0
50
20 | from heapq import heappush, heappop
def main():
while True:
x, y, z = map(int, input().split())
if x == 0:break
vlst = list(map(int, input().split()))
events = {}
for _ in range(z):
n, e, a = map(int, input().split())
events[n] = (e, a)
que = []
heappush(que, (0, 0))
cnt = [[0] * (100 * y + 1) for _ in range(y + 1)]
init = x ** y
cnt[0][0] = init
visited = {}
while que:
pos, score = heappop(que)
for v in vlst:
new_pos = pos + v
new_score = score
if new_pos in events:
event, value = events[new_pos]
if event == 1:
new_pos += value
elif event == 2:
new_score += value
else:
new_score = max(new_score - value, 0)
if new_pos >= y:
cnt[y][new_score] += cnt[pos][score] // x
else:
cnt[new_pos][new_score] += cnt[pos][score] // x
if (new_pos, new_score) not in visited:
visited[(new_pos, new_score)] = True
heappush(que, (new_pos, new_score))
total = 0
for score in range(100 * y + 1):
total += cnt[y][score] * score
print(total // init)
main()
| 3Python3
| {
"input": [
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n0 1 2\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 1 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 2 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 000\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 3 111\n1 3 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 4\n2 2 100\n4 3 9\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 5\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 3 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 0 0\n2 2 000\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 1 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 1 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 1 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 33\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n1 3 46\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 8\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 6 3\n2 2 5 4\n0 1 0\n2 2 100\n4 3 5\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n2 2 100\n4 5 3\n1 1 3 6\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 101\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 3 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 3 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 1\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 1 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 101\n1 2 1\n2\n1 2 110\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 1\n1 2 100\n4 5 3\n1 2 3 6\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 2 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 8\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 4 0\n1\n1 3 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 6\n1 1 2\n2 1 100\n4 3 5\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n0 1 0\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 29\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 3 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 -1\n2 2 100\n1 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n2 2 011\n1 2 1\n2\n1 2 110\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 3\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 5 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 4 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 4 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n1\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 1 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n2 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 4 1\n1\n1 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 011\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 69\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n3 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 110\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n2 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 1 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 3\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 3 3 4\n1 2 2\n2 2 100\n4 3 3\n0 0 0"
],
"output": [
"0\n100\n0\n50\n20",
"0\n101\n0\n50\n20\n",
"0\n101\n0\n50\n22\n",
"0\n101\n0\n0\n20\n",
"0\n101\n100\n50\n22\n",
"0\n100\n0\n50\n24\n",
"0\n100\n100\n50\n22\n",
"0\n111\n0\n0\n20\n",
"0\n1\n0\n50\n20\n",
"0\n100\n0\n50\n30\n",
"0\n1\n0\n50\n25\n",
"0\n100\n0\n55\n30\n",
"0\n110\n0\n55\n30\n",
"0\n101\n0\n50\n28\n",
"0\n100\n100\n50\n24\n",
"0\n1\n0\n50\n0\n",
"0\n100\n100\n50\n0\n",
"0\n101\n100\n50\n0\n",
"0\n101\n0\n0\n0\n",
"0\n0\n0\n50\n24\n",
"0\n110\n0\n50\n24\n",
"0\n0\n0\n50\n30\n",
"0\n110\n0\n55\n0\n",
"0\n101\n0\n50\n27\n",
"0\n0\n0\n0\n20\n",
"0\n101\n100\n50\n24\n",
"0\n1\n100\n50\n25\n",
"0\n101\n0\n50\n24\n",
"0\n100\n100\n0\n0\n",
"0\n101\n0\n50\n0\n",
"0\n111\n0\n50\n22\n",
"0\n111\n0\n0\n19\n",
"0\n0\n100\n50\n30\n",
"0\n0\n0\n50\n20\n",
"0\n1\n100\n55\n25\n",
"0\n0\n100\n50\n49\n",
"0\n0\n0\n55\n0\n",
"0\n101\n0\n50\n34\n",
"0\n111\n0\n0\n0\n",
"0\n0\n0\n50\n22\n",
"0\n1\n100\n0\n25\n",
"0\n110\n0\n0\n0\n",
"0\n100\n0\n50\n20\n",
"0\n101\n0\n50\n31\n",
"0\n100\n100\n0\n22\n",
"0\n110\n0\n0\n24\n",
"0\n101\n0\n50\n25\n",
"0\n100\n100\n50\n21\n",
"0\n1\n100\n50\n28\n",
"0\n100\n100\n50\n23\n",
"0\n0\n0\n0\n24\n",
"0\n101\n100\n50\n20\n",
"0\n0\n0\n50\n25\n",
"0\n0\n100\n0\n0\n",
"0\n111\n0\n50\n28\n",
"0\n1\n100\n55\n0\n",
"0\n0\n100\n50\n48\n",
"0\n111\n0\n100\n0\n",
"0\n100\n0\n50\n25\n",
"0\n101\n0\n0\n35\n",
"0\n0\n0\n50\n0\n",
"0\n100\n0\n55\n6\n",
"0\n100\n0\n0\n30\n",
"0\n101\n0\n50\n50\n",
"0\n1\n0\n55\n0\n",
"0\n101\n0\n50\n1\n",
"0\n111\n0\n50\n20\n",
"0\n100\n100\n50\n42\n",
"0\n0\n0\n0\n0\n",
"0\n111\n0\n55\n0\n",
"0\n0\n100\n50\n0\n",
"0\n111\n100\n50\n22\n",
"0\n0\n0\n50\n28\n",
"0\n0\n100\n50\n50\n",
"0\n100\n0\n0\n31\n",
"0\n11\n0\n0\n19\n",
"0\n111\n0\n50\n6\n",
"0\n100\n0\n50\n0\n",
"0\n100\n101\n0\n31\n",
"0\n0\n0\n55\n28\n",
"0\n0\n0\n55\n22\n",
"0\n101\n100\n0\n20\n",
"0\n100\n100\n50\n25\n",
"0\n100\n100\n0\n24\n",
"0\n101\n0\n0\n22\n",
"0\n100\n0\n0\n0\n",
"0\n100\n0\n50\n22\n",
"0\n101\n0\n55\n27\n",
"0\n11\n100\n50\n25\n",
"0\n101\n0\n50\n2\n",
"0\n101\n0\n50\n19\n",
"0\n1\n0\n55\n25\n",
"0\n0\n100\n50\n24\n",
"0\n110\n0\n0\n31\n",
"0\n100\n0\n55\n0\n",
"0\n110\n100\n50\n21\n",
"0\n0\n0\n0\n49\n",
"0\n111\n0\n0\n31\n",
"0\n100\n0\n50\n50\n",
"0\n101\n0\n0\n30\n",
"0\n0\n0\n50\n6\n"
]
} | 6AIZU
|
p00232 Life Game_1435 | Taro went to a toy store to buy a game of life made by Aizu Hobby. Life games are played using a board with squares and roulette. As shown in the figure, the board has one start point and one goal point, which are connected by a single grid. First, the pieces are placed in the square at the starting point, and the pieces are advanced according to the number of pieces that are turned by turning the roulette wheel. Depending on the square, there are event squares where you can earn money or change the position of the pieces by stopping or passing there. The final victory or defeat is determined by the amount of money you have when the piece reaches the goal point.
<image>
The interesting thing about the game of life at this company is that the size of the roulette eyes, the number of squares to the goal, and the arrangement of the event squares are different for each package. They are written on the case and can be confirmed by reading it. Taro wants to choose the life game that earns the most money, and wants to buy the one with the highest expected value of money. So you decided to help Taro choose a game.
Suppose a roulette wheel divides its circumference into X equal parts, each filled with the values V1, V2, ..., VX. The board has squares numbered 0, 1, ..., Y, and they are connected in order. There are Z special squares called event squares in the squares, and when they reach them, they perform special actions. The number of the square of the event square is given by Ni. There are 1 to 3 types (Ei) of event masses, each of which performs the following actions:
Type (Ei) | Special Behavior | Value (Ai) Range
--- | --- | ---
1 | Advance by the specified value Ai | 1 ~ 10
2 | Get the amount of the specified value Ai | 1 ~ 100
3 | Pay the amount of the specified value Ai | 1 ~ 100
The first amount of money you have is 0 yen, starting from the 0th square and reaching the goal when you reach the Yth square. If you exceed the goal, it is also considered as a goal. There are no events at the start and goal, and multiple events do not overlap in one square. Ignore the events in the squares that are advanced by the event. If the amount of money you have is less than 0 yen, it will be 0 yen.
For example, the expected value of money earned in a life game can be calculated as follows.
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This example shows a life game consisting of three squares: start, event square (get 100 yen), goal, and roulette with 1 or 2. First, when you turn the roulette wheel for the first time, if you get a 1, you will reach the event square and your money will be 100 yen. On the other hand, if you get a 2, you will reach the goal and your money will remain at 0 yen. Both of these occur with a one-half chance.
In addition, if you reach the event square the first time, you will turn the roulette wheel the second time, but you will reach the goal no matter what value you get, and you will have 100 yen in each case.
As you can see, there are three ways to reach the goal. Focusing on the amount of money you have when you reach the goal, there is one case where the amount is 0 yen and the probability is one half, and there are two cases where the probability is 100 yen and the probability is one quarter. In this case, the expected value of the amount of money you have at the goal is the sum of (the amount of money you have x the probability) for each goal method, and the expected value of this life game is 50 yen.
Create a program that inputs roulette information and board information and outputs the expected value of the amount of money you have at the goal.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by three zero lines. Each dataset is given in the following format:
X Y Z
V1 V2 ... VX
N1 E1 A1
N2 E2 A2
::
NZ EZ AZ
X (1 ≤ X ≤ 4), Vi (1 ≤ Vi ≤ 10), Y (1 ≤ Y ≤ 50), Ni (1 ≤ Ni ≤ Y-1), Z (0 ≤ Z ≤ Y-1), Ei (1 ≤ Ei ≤ 3), Ai (1 ≤ Ai ≤ 100) are given as integers.
The number of datasets does not exceed 100.
Output
For each input dataset, the expected value of the final amount of money is output on one line. Please output the expected value of your money as an integer rounded down to the nearest whole number.
Example
Input
1 2 0
1
1 2 1
1
1 2 100
1 2 1
2
1 2 100
2 2 1
1 2
1 2 100
4 5 3
1 2 3 4
1 1 2
2 2 100
4 3 60
0 0 0
Output
0
100
0
50
20 |
import java.io.IOException;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.Scanner;
public class Main {
public static void main(String[] args) throws IOException {
new Main().run();
}
private void run() throws IOException {
Scanner scanner = new Scanner(System.in);
while (true) {
int x = scanner.nextInt();
int n = scanner.nextInt();
int e = scanner.nextInt();
if ((x | n | e) == 0)
break;
int[] v = new int[x];
for (int i = 0; i < x; i++) {
v[i] = scanner.nextInt();
}
int[][] ev = new int[n + 1][2];
while (e-- > 0) {
int p = scanner.nextInt();
int k = scanner.nextInt();
int val = scanner.nextInt();
ev[p][0] = k;
ev[p][1] = val;
}
Map<Integer, List<Double>> map = new HashMap<Integer, List<Double>>();
List<Double> list = new ArrayList<Double>();
for (int i = 0; i <= n; i++) {
list.add(0d);
}
list.set(0, 1.0);
map.put(0, list);
for (int i = 0; i < n; i++) {
Map<Integer, List<Double>> tmpMap = new HashMap<Integer, List<Double>>();
tmpMap.putAll(map);
for (Entry<Integer, List<Double>> entry : map.entrySet()) {
int j = entry.getKey();
if (entry.getValue().get(i) == 0)
continue;
for (int k = 0; k < x; k++) {
int np = Math.min(n, i + v[k]);
int nm = j;
if (ev[np][0] == 1)
np = Math.min(n, np + ev[np][1]);
else if (ev[np][0] == 2)
nm += ev[np][1];
else if (ev[np][0] == 3)
nm = Math.max(0, nm - ev[np][1]);
List<Double> tmp;
if (!tmpMap.containsKey(nm)) {
tmp = new ArrayList<Double>();
for (int l = 0; l <= n; l++) {
tmp.add(0d);
}
} else {
tmp = tmpMap.get(nm);
}
double t = tmp.get(np);
tmp.set(np, t + entry.getValue().get(i) / x);
tmpMap.put(nm, tmp);
}
}
map = tmpMap;
}
double ans = 0;
for (Entry<Integer, List<Double>> enty : map.entrySet()) {
ans += enty.getKey() * enty.getValue().get(n);
}
System.out.println((int) ans);
}
}
} | 4JAVA
| {
"input": [
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n0 1 2\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 1 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 2 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 000\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 3 111\n1 3 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 4\n2 2 100\n4 3 9\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 5\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n1\n1 3 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 110\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 0 0\n2 2 000\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 1 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 1 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 1 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 1 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 110\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 33\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 4\n1 2 100\n4 5 3\n1 2 3 5\n0 1 2\n4 2 100\n1 3 46\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n1 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 8\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n2\n1 2 1\n1\n1 2 001\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 6 3\n2 2 5 4\n0 1 0\n2 2 100\n4 3 5\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n2 2 100\n4 5 3\n1 1 3 6\n1 1 2\n2 1 100\n4 3 13\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 101\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 3 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 3 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 1\n0 1 2\n2 2 100\n4 1 27\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 1 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 101\n1 2 1\n2\n1 2 110\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 111\n1 2 1\n2\n1 2 100\n2 2 1\n4 1\n1 2 100\n4 5 3\n1 2 3 6\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 2 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n0 2 100\n4 5 3\n1 2 3 8\n1 1 2\n4 2 100\n4 3 32\n0 0 0",
"1 4 0\n1\n1 3 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 6\n1 1 2\n2 1 100\n4 3 5\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 000\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 5\n0 1 0\n4 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 111\n1 3 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 5 4\n1 1 2\n2 2 100\n4 3 29\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 3 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 -1\n2 2 100\n1 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 3 1\n1\n2 2 011\n1 2 1\n2\n1 2 110\n2 2 1\n4 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 3\n2 2 100\n4 3 73\n0 0 0",
"1 2 0\n1\n1 5 1\n1\n1 2 111\n1 2 1\n2\n1 2 000\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 4 3 4\n1 1 0\n2 2 100\n4 3 27\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 4 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n1\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 2\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 0 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n0 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 3\n1 1 2\n2 2 110\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n2 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 1 100\n4 5 3\n1 2 3 4\n1 1 1\n2 2 100\n4 3 27\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n2 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n0 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 4 1\n1\n1 2 100\n1 2 1\n1\n0 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 2\n2 2 110\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 011\n1 2 1\n2\n2 2 100\n2 2 1\n2 1\n1 2 100\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 2 1\n2\n1 1 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 010\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n2 2 101\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 3 4\n1 1 2\n2 2 100\n4 3 69\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 001\n1 2 1\n2\n1 2 100\n2 2 1\n2 1\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n2 2 100\n4 3 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n0 2 100\n1 3 1\n2\n2 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n3 2 3 4\n1 1 0\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 2 1\n1\n1 2 110\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 100\n1 3 1\n2\n0 2 100\n2 2 1\n1 2\n1 2 110\n4 5 3\n1 2 3 4\n1 1 0\n0 2 100\n4 3 3\n0 0 0",
"1 2 0\n1\n1 1 1\n1\n1 2 110\n1 2 1\n1\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n1 2 1 5\n1 1 2\n2 2 100\n4 3 32\n0 0 0",
"1 2 0\n1\n1 2 1\n2\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 3 100\n4 5 3\n2 2 3 5\n1 1 2\n2 2 100\n4 3 3\n0 0 0",
"1 4 0\n1\n1 1 1\n1\n1 2 111\n1 2 1\n2\n0 2 100\n2 2 1\n2 2\n1 2 110\n4 5 3\n1 2 3 6\n2 1 2\n2 2 100\n4 3 0\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 100\n1 2 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 5 3\n2 2 3 4\n1 1 2\n2 2 100\n4 1 60\n0 0 0",
"1 2 0\n1\n1 2 1\n1\n1 2 101\n1 3 1\n2\n1 2 101\n2 2 1\n1 2\n1 3 110\n4 5 3\n1 2 3 4\n1 2 0\n2 2 100\n4 3 3\n0 0 0",
"1 1 0\n1\n1 2 1\n1\n1 2 000\n1 3 1\n2\n1 2 100\n2 2 1\n1 2\n1 2 100\n4 9 3\n1 3 3 4\n1 2 2\n2 2 100\n4 3 3\n0 0 0"
],
"output": [
"0\n100\n0\n50\n20",
"0\n101\n0\n50\n20\n",
"0\n101\n0\n50\n22\n",
"0\n101\n0\n0\n20\n",
"0\n101\n100\n50\n22\n",
"0\n100\n0\n50\n24\n",
"0\n100\n100\n50\n22\n",
"0\n111\n0\n0\n20\n",
"0\n1\n0\n50\n20\n",
"0\n100\n0\n50\n30\n",
"0\n1\n0\n50\n25\n",
"0\n100\n0\n55\n30\n",
"0\n110\n0\n55\n30\n",
"0\n101\n0\n50\n28\n",
"0\n100\n100\n50\n24\n",
"0\n1\n0\n50\n0\n",
"0\n100\n100\n50\n0\n",
"0\n101\n100\n50\n0\n",
"0\n101\n0\n0\n0\n",
"0\n0\n0\n50\n24\n",
"0\n110\n0\n50\n24\n",
"0\n0\n0\n50\n30\n",
"0\n110\n0\n55\n0\n",
"0\n101\n0\n50\n27\n",
"0\n0\n0\n0\n20\n",
"0\n101\n100\n50\n24\n",
"0\n1\n100\n50\n25\n",
"0\n101\n0\n50\n24\n",
"0\n100\n100\n0\n0\n",
"0\n101\n0\n50\n0\n",
"0\n111\n0\n50\n22\n",
"0\n111\n0\n0\n19\n",
"0\n0\n100\n50\n30\n",
"0\n0\n0\n50\n20\n",
"0\n1\n100\n55\n25\n",
"0\n0\n100\n50\n49\n",
"0\n0\n0\n55\n0\n",
"0\n101\n0\n50\n34\n",
"0\n111\n0\n0\n0\n",
"0\n0\n0\n50\n22\n",
"0\n1\n100\n0\n25\n",
"0\n110\n0\n0\n0\n",
"0\n100\n0\n50\n20\n",
"0\n101\n0\n50\n31\n",
"0\n100\n100\n0\n22\n",
"0\n110\n0\n0\n24\n",
"0\n101\n0\n50\n25\n",
"0\n100\n100\n50\n21\n",
"0\n1\n100\n50\n28\n",
"0\n100\n100\n50\n23\n",
"0\n0\n0\n0\n24\n",
"0\n101\n100\n50\n20\n",
"0\n0\n0\n50\n25\n",
"0\n0\n100\n0\n0\n",
"0\n111\n0\n50\n28\n",
"0\n1\n100\n55\n0\n",
"0\n0\n100\n50\n48\n",
"0\n111\n0\n100\n0\n",
"0\n100\n0\n50\n25\n",
"0\n101\n0\n0\n35\n",
"0\n0\n0\n50\n0\n",
"0\n100\n0\n55\n6\n",
"0\n100\n0\n0\n30\n",
"0\n101\n0\n50\n50\n",
"0\n1\n0\n55\n0\n",
"0\n101\n0\n50\n1\n",
"0\n111\n0\n50\n20\n",
"0\n100\n100\n50\n42\n",
"0\n0\n0\n0\n0\n",
"0\n111\n0\n55\n0\n",
"0\n0\n100\n50\n0\n",
"0\n111\n100\n50\n22\n",
"0\n0\n0\n50\n28\n",
"0\n0\n100\n50\n50\n",
"0\n100\n0\n0\n31\n",
"0\n11\n0\n0\n19\n",
"0\n111\n0\n50\n6\n",
"0\n100\n0\n50\n0\n",
"0\n100\n101\n0\n31\n",
"0\n0\n0\n55\n28\n",
"0\n0\n0\n55\n22\n",
"0\n101\n100\n0\n20\n",
"0\n100\n100\n50\n25\n",
"0\n100\n100\n0\n24\n",
"0\n101\n0\n0\n22\n",
"0\n100\n0\n0\n0\n",
"0\n100\n0\n50\n22\n",
"0\n101\n0\n55\n27\n",
"0\n11\n100\n50\n25\n",
"0\n101\n0\n50\n2\n",
"0\n101\n0\n50\n19\n",
"0\n1\n0\n55\n25\n",
"0\n0\n100\n50\n24\n",
"0\n110\n0\n0\n31\n",
"0\n100\n0\n55\n0\n",
"0\n110\n100\n50\n21\n",
"0\n0\n0\n0\n49\n",
"0\n111\n0\n0\n31\n",
"0\n100\n0\n50\n50\n",
"0\n101\n0\n0\n30\n",
"0\n0\n0\n50\n6\n"
]
} | 6AIZU
|
p00395 Maze and Items_1436 | Maze & Items is a puzzle game in which the player tries to reach the goal while collecting items. The maze consists of $W \times H$ grids, and some of them are inaccessible to the player depending on the items he/she has now. The score the player earns is defined according to the order of collecting items. The objective of the game is, after starting from a defined point, to collect all the items using the least number of moves before reaching the goal. There may be multiple routes that allow the least number of moves. In that case, the player seeks to maximize his/her score.
One of the following symbols is assigned to each of the grids. You can move to one of the neighboring grids (horizontally or vertically, but not diagonally) in one time, but you cannot move to the area outside the maze.
Symbol| Description
---|---
.| Always accessible
| Always inaccessible
Number 0, 1,.., 9| Always accessible and an item (with its specific number) is located in the grid.
Capital letter A, B, ..., J| Accessible only when the player does NOT have the corresponding item. Each of A, B, ..., J takes a value from 0 to 9.
Small letter a, b, ..., j| Accessible only when the player DOES have the corresponding item. Each of a, b, ..., j takes one value from 0 to 9. | S| Starting grid. Always accessible.
T| Goal grid. Always accessible.
The player fails to complete the game if he/she has not collected all the items before reaching the goal. When entering a grid in which an item is located, it’s the player’s option to collect it or not. The player must keep the item once he/she collects it, and it disappears from the maze.
Given the state information of the maze and a table that defines the collecting order dependent scores, make a program that works out the minimum number of moves required to collect all the items before reaching the goal, and the maximum score gained through performing the moves.
Input
The input is given in the following format.
$W$ $H$
$row_1$
$row_2$
...
$row_H$
$s_{00}$ $s_{01}$ ... $s_{09}$
$s_{10}$ $s_{11}$ ... $s_{19}$
...
$s_{90}$ $s_{91}$ ... $s_{99}$
The first line provides the number of horizontal and vertical grids in the maze $W$ ($4 \leq W \leq 1000$) and $H$ ($4 \leq H \leq 1000$). Each of the subsequent $H$ lines provides the information on the grid $row_i$ in the $i$-th row from the top of the maze, where $row_i$ is a string of length $W$ defined in the table above. A letter represents a grid. Each of the subsequent 10 lines provides the table that defines collecting order dependent scores. An element in the table $s_{ij}$ ($0 \leq s_{ij} \leq 100$) is an integer that defines the score when item $j$ is collected after the item $i$ (without any item between them). Note that $s_{ii} = 0$.
The grid information satisfies the following conditions:
* Each of S, T, 0, 1, ..., 9 appears in the maze once and only once.
* Each of A, B, ..., J, a, b, ..., j appears in the maze no more than once.
Output
Output two items in a line separated by a space: the minimum number of moves and the maximum score associated with that sequence of moves. Output "-1" if unable to attain the game’s objective.
Examples
Input
12 5
.....S......
.abcdefghij.
.0123456789.
.ABCDEFGHIJ.
.....T......
0 1 0 0 0 0 0 0 0 0
2 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
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
Output
26 2
Input
4 5
0jSB
.
1234
5678
9..T
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 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 0 0
Output
31 0
Input
7 7
1.3#8.0
.###.#
.###.#
5..S..9
.#T#.#
.###.#
4.2#6.7
0 0 0 0 0 0 0 0 1 0
0 0 0 1 0 0 0 0 0 0
0 0 0 0 7 0 0 0 0 0
0 2 0 0 0 0 0 0 0 0
0 0 3 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 8 0 0 0
2 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Output
53 19
Input
5 6
..S..
01234
56789
..T..
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 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 0 0
Output
-1 | #include <iostream>
#include <queue>
using namespace std;
int H, W, sx[32], sy[32], s[10][10], idx[1009][1009];
char c[1009][1009];
int t[32][32], u[1009][1009];
pair<int, int> dp[1 << 10][32];
int dx[4] = { 1, 0, -1, 0 };
int dy[4] = { 0, 1, 0, -1 };
int main() {
cin >> W >> H;
for (int i = 1; i <= H; i++) {
for (int j = 1; j <= W; j++) {
cin >> c[i][j]; idx[i][j] = -1;
if (c[i][j] == 'S') { sx[30] = i; sy[30] = j; }
if (c[i][j] == 'T') { sx[31] = i; sy[31] = j; }
if (c[i][j] >= '0' && c[i][j] <= '9') {
sx[0 + (c[i][j] - '0')] = i;
sy[0 + (c[i][j] - '0')] = j;
}
if (c[i][j] >= 'A' && c[i][j] <= 'J') {
sx[10 + (c[i][j] - 'A')] = i;
sy[10 + (c[i][j] - 'A')] = j;
}
if (c[i][j] >= 'a' && c[i][j] <= 'z') {
sx[20 + (c[i][j] - 'a')] = i;
sy[20 + (c[i][j] - 'a')] = j;
}
}
}
for (int i = 0; i < 10; i++) {
for (int j = 0; j < 10; j++) cin >> s[i][j];
}
for (int i = 0; i <= 31; i++) { idx[sx[i]][sy[i]] = i; for (int j = 0; j <= 31; j++) t[i][j] = (1 << 25); }
for (int i = 0; i <= 31; i++) {
if (sx[i] == 0 && sy[i] == 0) continue;
for (int j = 1; j <= H; j++) { for (int k = 1; k <= W; k++) u[j][k] = (1 << 25); }
queue<pair<int, int>> Q;
Q.push(make_pair(sx[i], sy[i]));
u[sx[i]][sy[i]] = 0;
while (!Q.empty()) {
int cx = Q.front().first, cy = Q.front().second; Q.pop();
for (int j = 0; j < 4; j++) {
int ex = cx + dx[j], ey = cy + dy[j];
if (ex <= 0 || ey <= 0 || ex > H || ey > W || c[ex][ey] == '#') continue;
if (idx[ex][ey] == -1) {
if (u[ex][ey] == (1 << 25)) {
Q.push(make_pair(ex, ey));
u[ex][ey] = u[cx][cy] + 1;
}
}
else {
t[i][idx[ex][ey]] = min(t[i][idx[ex][ey]], u[cx][cy] + 1);
}
}
}
}
for (int i = 0; i < (1 << 10); i++) {
for (int j = 0; j < 32; j++) dp[i][j] = make_pair((1 << 25), (1 << 25));
}
dp[0][30] = make_pair(0, 0);
pair<int, int> maxn = make_pair((1 << 25), -1);
for (int i = 0; i < (1 << 10); i++) {
for (int j = 0; j < 32; j++) {
if (dp[i][j] == make_pair((1 << 25), (1 << 25))) continue;
// 幅優先探索
int dist[32]; for (int k = 0; k < 32; k++) dist[k] = (1 << 25); dist[j] = 0;
vector<int> V;
for (int k = 0; k < 10; k++) V.push_back(k);
for (int k = 0; k < 10; k++) { if ((i / (1 << k)) % 2 == 0) V.push_back(10 + k); }
for (int k = 0; k < 10; k++) { if ((i / (1 << k)) % 2 == 1) V.push_back(20 + k); }
V.push_back(30); V.push_back(31);
for (int tt = 0; tt < 22; tt++) {
for (int k : V) {
for (int l : V) {
if (t[k][l] == -(1 << 25)) continue;
dist[l] = min(dist[l], dist[k] + t[k][l]);
}
}
}
if (i == 1023) {
maxn = min(maxn, make_pair(dp[i][j].first + dist[31], dp[i][j].second));
}
// DP の更新
for (int k = 0; k < 10; k++) {
if (dist[k] == (1 << 25) || (i / (1 << k)) % 2 == 1) continue;
dp[i + (1 << k)][k] = min(dp[i + (1 << k)][k], make_pair(dp[i][j].first + dist[k], dp[i][j].second - s[j][k]));
}
}
}
if (maxn.first == (1 << 25)) cout << "-1" << endl;
else cout << maxn.first << " " << -maxn.second << endl;
return 0;
}
| 2C++
| {
"input": [
"12 5\n.....S......\n.abcdefghij.\n.0123456789.\n.ABCDEFGHIJ.\n.....T......\n0 1 0 0 0 0 0 0 0 0\n2 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0",
"5 6\n..S..\n\n01234\n56789\n\n..T..\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0",
"7 7\n1.3#8.0\n.###.#\n.###.#\n5..S..9\n.#T#.#\n.###.#\n4.2#6.7\n0 0 0 0 0 0 0 0 1 0\n0 0 0 1 0 0 0 0 0 0\n0 0 0 0 7 0 0 0 0 0\n0 2 0 0 0 0 0 0 0 0\n0 0 3 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 8 0 0 0\n2 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0",
"4 5\n0jSB\n.\n1234\n5678\n9..T\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0",
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"0 2\n1.3#9.0\n\".###.\n.###.#\n5..S..9\n.#T#.#\n.###.#\n7.6#2.4\n0 -1 0 0 0 0 0 1 2 0\n0 0 0 1 0 -1 -1 1 0 -1\n0 0 0 0 8 1 0 0 0 0\n0 2 1 0 0 1 0 0 0 0\n0 0 3 1 0 0 0 0 1 1\n1 0 0 0 0 0 -1 0 1 0\n0 1 0 -1 1 0 0 -1 0 0\n0 0 1 0 1 0 2 0 0 0\n2 0 0 0 0 0 1 0 0 -1\n1 0 0 0 -1 0 0 1 1 0",
"14 5\n.....S......\n.abcdehgfij.\n.0123466789-\n.JIHGFEDCBA/\n.....T......\n0 1 0 -1 0 0 1 0 0 0\n-1 0 0 0 0 0 0 0 0 1\n1 0 0 -1 0 -1 -1 0 0 -1\n0 0 0 0 0 0 0 0 0 0\n0 0 -2 0 0 0 -2 0 0 0\n0 1 -1 -1 0 0 0 0 -1 0\n0 2 0 -1 0 0 0 -1 0 0\n-1 0 2 1 0 0 -2 -1 -1 1\n0 1 -1 -1 1 0 1 0 0 0\n0 0 1 0 0 0 0 0 0 0",
"0 2\n1.3#9.0\n\".###.\n.###.#\n5..S..9\n.#T#.#\n.###.#\n7.6#2.4\n0 -1 0 0 0 0 0 1 2 0\n0 0 0 1 0 -1 -1 1 0 -1\n0 0 0 0 8 1 0 0 0 0\n0 2 1 0 0 1 0 0 0 0\n0 0 3 1 0 0 0 0 1 1\n1 0 0 0 0 0 -1 0 1 0\n0 1 0 -1 1 0 0 -1 0 0\n0 0 1 0 1 0 2 0 0 0\n2 1 0 0 0 0 1 0 0 -1\n1 0 0 0 -1 0 0 1 1 0",
"14 5\n.....S......\n.abcdehgfij.\n.0123466789-\n.JIHGFEDCBA/\n.....T......\n0 1 0 -1 0 0 1 0 0 0\n-1 0 0 0 0 0 0 0 0 1\n1 0 0 -1 0 -1 -1 0 0 -1\n0 0 0 0 0 0 0 0 0 0\n0 0 -2 0 0 0 -2 0 0 0\n0 1 -1 -1 0 0 0 0 -1 0\n0 2 0 -1 0 0 0 -1 0 0\n-1 0 2 1 0 0 -2 -1 0 1\n0 1 -1 -1 1 0 1 0 0 0\n0 0 1 0 0 0 0 0 0 0",
"0 2\n1.3#9.0\n\".###.\n.###.#\n5..S..9\n.#T#.#\n.###.#\n7.6#2.4\n0 -1 0 0 0 0 0 1 2 0\n0 0 0 1 0 -1 -1 1 0 -1\n0 0 0 0 8 1 0 0 0 0\n0 2 1 0 0 1 0 0 0 0\n0 0 3 1 0 0 0 0 1 1\n1 0 0 0 0 0 -1 0 1 0\n0 1 0 -1 1 0 0 -1 0 0\n0 0 1 0 1 0 2 0 0 0\n2 1 0 0 0 0 1 0 0 -1\n1 0 0 0 0 0 0 1 1 0",
"14 5\n.....S......\n.abcdehgfij.\n.0123466789-\n.JIHGFEDCBA/\n.....T......\n0 1 0 -1 0 0 1 0 0 0\n-1 0 0 0 0 0 0 0 0 1\n1 0 0 -1 0 -1 -1 0 0 -1\n0 0 0 0 0 0 0 0 0 0\n0 0 -2 0 0 0 -2 0 0 0\n0 1 -1 -1 0 0 0 0 -1 0\n0 2 0 -1 0 0 0 -1 0 0\n-1 0 2 1 0 0 -2 -1 0 1\n0 1 -1 -1 1 0 1 0 0 0\n0 0 1 0 0 0 1 0 0 0",
"1 2\n1.3#9.0\n\".###.\n.###.#\n5..S..9\n.#T#.#\n.###.#\n7.6#2.4\n0 -1 0 0 0 0 0 1 2 0\n0 0 0 1 0 -1 -1 1 0 -1\n0 0 0 0 8 1 0 0 0 0\n0 2 1 0 0 1 0 0 0 0\n0 0 3 1 0 0 0 0 1 1\n1 0 0 0 0 0 -1 0 1 0\n0 1 0 -1 1 0 0 -1 0 0\n0 0 1 0 1 0 2 0 0 0\n2 1 0 0 0 0 1 0 0 -1\n1 0 0 0 0 0 0 1 1 0"
],
"output": [
"26 2",
"-1",
"53 19",
"31 0",
"26 2\n",
"17 0\n",
"44 19\n",
"17 1\n",
"26 1\n",
"44 20\n",
"-1\n",
"26 0\n",
"26 -1\n",
"17 0\n",
"26 2\n",
"17 0\n",
"44 19\n",
"17 1\n",
"44 19\n",
"26 1\n",
"17 1\n",
"26 2\n",
"17 1\n",
"44 20\n",
"26 1\n",
"17 1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"26 1\n",
"-1\n",
"-1\n",
"26 0\n",
"-1\n",
"26 0\n",
"-1\n",
"26 0\n",
"-1\n",
"-1\n",
"26 -1\n",
"-1\n",
"26 -1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p00610 Cleaning Robot 2_1437 | Dr. Asimov, a robotics researcher, released cleaning robots he developed (see Problem B). His robots soon became very popular and he got much income. Now he is pretty rich. Wonderful.
First, he renovated his house. Once his house had 9 rooms that were arranged in a square, but now his house has N × N rooms arranged in a square likewise. Then he laid either black or white carpet on each room.
Since still enough money remained, he decided to spend them for development of a new robot. And finally he completed.
The new robot operates as follows:
* The robot is set on any of N × N rooms, with directing any of north, east, west and south.
* The robot detects color of carpets of lefthand, righthand, and forehand adjacent rooms if exists. If there is exactly one room that its carpet has the same color as carpet of room where it is, the robot changes direction to and moves to and then cleans the room. Otherwise, it halts. Note that halted robot doesn't clean any longer. Following is some examples of robot's movement.
<image>
Figure 1. An example of the room
In Figure 1,
* robot that is on room (1,1) and directing north directs east and goes to (1,2).
* robot that is on room (0,2) and directing north directs west and goes to (0,1).
* robot that is on room (0,0) and directing west halts.
* Since the robot powered by contactless battery chargers that are installed in every rooms, unlike the previous robot, it never stops because of running down of its battery. It keeps working until it halts.
Doctor's house has become larger by the renovation. Therefore, it is not efficient to let only one robot clean. Fortunately, he still has enough budget. So he decided to make a number of same robots and let them clean simultaneously.
The robots interacts as follows:
* No two robots can be set on same room.
* It is still possible for a robot to detect a color of carpet of a room even if the room is occupied by another robot.
* All robots go ahead simultaneously.
* When robots collide (namely, two or more robots are in a single room, or two robots exchange their position after movement), they all halt. Working robots can take such halted robot away.
On every room dust stacks slowly but constantly. To keep his house pure, he wants his robots to work so that dust that stacked on any room at any time will eventually be cleaned.
After thinking deeply, he realized that there exists a carpet layout such that no matter how initial placements of robots are, this condition never can be satisfied. Your task is to output carpet layout that there exists at least one initial placements of robots that meets above condition. Since there may be two or more such layouts, please output the K-th one lexicographically.
Constraints
* Judge data consists of at most 100 data sets.
* 1 ≤ N < 64
* 1 ≤ K < 263
Input
Input file contains several data sets. One data set is given in following format:
N K
Here, N and K are integers that are explained in the problem description.
The end of input is described by a case where N = K = 0. You should output nothing for this case.
Output
Print the K-th carpet layout if exists, "No" (without quotes) otherwise.
The carpet layout is denoted by N lines of string that each has exactly N letters. A room with black carpet and a room with white carpet is denoted by a letter 'E' and '.' respectively. Lexicographically order of carpet layout is defined as that of a string that is obtained by concatenating the first row, the second row, ..., and the N-th row in this order.
Output a blank line after each data set.
Example
Input
2 1
2 3
6 4
0 0
Output
..
..
No
..EEEE
..E..E
EEE..E
E..EEE
E..E..
EEEE.. | def checkback(B,i,j):
samesum= (B[i][j]==B[i][j-1]) +(B[i][j]==B[i][j+1]) +(B[i][j]==B[i-1][j])
if samesum==2:
return not B[i][j]
else:
return B[i][j]
while(1):
[N,K]=map(int,raw_input().split())
if N==0:
break
if N%2 or K>2**(N/2):
print "No\n"
else:
n=N/2
A=[0 for i in range(N)]
K-=1
for i in range(1,n+1):
A[2*(i-1)]= K/2**(n-i)
A[2*(i-1)+1]= K/2**(n-i)
K%=2**(n-i)
B=[[-1 for i in range(N+2)] for j in range(N+2)]
B[1][1:N+1]=A[:]
for i in range(2,N+1):
for j in range(1,N+1):
B[i][j]=checkback(B,i-1,j)
for i in range(1,N+1):
ls=""
for j in range(1,N+1):
ls+=".E"[B[i][j]]
print ls
print"\n", | 1Python2
| {
"input": [
"2 1\n2 3\n6 4\n0 0",
"3 1\n2 3\n6 4\n0 0",
"4 1\n2 3\n6 4\n0 0",
"3 1\n4 3\n6 4\n0 0",
"4 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n6 6\n0 0",
"8 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n12 4\n0 0",
"8 1\n1 3\n2 6\n0 0",
"5 1\n4 3\n23 4\n0 0",
"16 1\n1 3\n2 6\n0 0",
"19 1\n1 3\n2 6\n0 0",
"34 1\n1 6\n2 6\n0 0",
"2 1\n3 3\n6 4\n0 0",
"5 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n6 7\n0 0",
"5 1\n2 3\n6 2\n0 0",
"16 2\n1 3\n1 6\n0 0",
"2 2\n3 1\n6 4\n0 0",
"5 1\n2 2\n6 2\n0 0",
"8 2\n1 3\n4 8\n0 0",
"4 1\n2 2\n6 2\n0 0",
"5 2\n4 4\n1 1\n0 0",
"2 1\n2 3\n6 8\n0 0",
"4 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 4\n0 0",
"4 1\n1 3\n1 6\n0 0",
"8 2\n1 3\n6 6\n0 0",
"10 1\n4 3\n23 4\n0 0",
"4 1\n2 3\n6 7\n0 0",
"2 1\n4 3\n6 6\n0 0",
"4 1\n2 1\n6 2\n0 0",
"5 2\n4 2\n1 1\n0 0",
"3 3\n4 1\n6 4\n0 0",
"5 1\n6 3\n6 5\n0 0",
"12 1\n4 3\n23 4\n0 0",
"2 1\n3 2\n5 4\n0 0",
"16 2\n2 2\n1 6\n0 0",
"3 4\n3 1\n6 8\n0 0",
"4 2\n2 1\n6 2\n0 0",
"3 3\n2 1\n6 4\n0 0",
"5 1\n6 4\n6 5\n0 0",
"4 1\n2 1\n6 4\n0 0",
"12 2\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 7\n0 0",
"12 1\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 5\n0 0",
"1 2\n3 1\n2 2\n0 0",
"13 1\n2 2\n6 6\n0 0",
"4 1\n1 3\n6 1\n0 0",
"1 1\n2 3\n12 4\n0 0",
"6 1\n1 3\n6 6\n0 0",
"2 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n2 1\n0 0",
"2 1\n3 3\n6 5\n0 0",
"4 1\n4 3\n6 6\n0 0",
"1 1\n4 3\n12 6\n0 0",
"13 1\n1 3\n6 7\n0 0",
"2 1\n3 1\n10 4\n0 0",
"8 1\n1 3\n4 3\n0 0",
"5 1\n4 2\n6 2\n0 0",
"2 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 1\n0 0",
"2 1\n4 3\n21 4\n0 0",
"28 1\n1 3\n2 7\n0 0",
"2 1\n1 1\n8 4\n0 0",
"6 4\n4 3\n1 6\n0 0",
"4 1\n2 1\n1 2\n0 0",
"5 1\n4 4\n2 1\n0 0",
"5 1\n6 3\n6 8\n0 0",
"1 1\n4 3\n20 4\n0 0",
"12 1\n4 4\n23 4\n0 0",
"3 3\n2 1\n6 8\n0 0",
"6 1\n3 1\n6 2\n0 0",
"5 1\n4 4\n6 5\n0 0",
"4 3\n2 1\n6 7\n0 0",
"13 1\n1 6\n8 6\n0 0",
"3 3\n2 2\n6 5\n0 0",
"16 1\n2 2\n2 6\n0 0",
"5 1\n6 2\n6 2\n0 0",
"2 2\n2 3\n6 15\n0 0",
"2 3\n3 1\n8 4\n0 0",
"5 1\n4 4\n4 1\n0 0",
"4 1\n6 3\n6 8\n0 0",
"4 3\n4 3\n1 6\n0 0",
"5 1\n4 1\n6 5\n0 0",
"4 4\n2 1\n6 7\n0 0",
"4 2\n3 1\n9 2\n0 0",
"8 1\n1 6\n8 6\n0 0",
"3 3\n2 2\n7 5\n0 0",
"1 2\n6 2\n2 4\n0 0",
"1 1\n2 1\n6 6\n0 0",
"2 1\n6 5\n6 5\n0 0",
"2 1\n8 3\n21 7\n0 0",
"2 3\n6 1\n8 4\n0 0",
"31 1\n1 6\n12 11\n0 0",
"6 3\n4 3\n1 6\n0 0",
"5 1\n4 2\n6 5\n0 0",
"12 2\n1 5\n10 22\n0 0",
"4 3\n3 1\n9 2\n0 0",
"1 1\n3 1\n4 2\n0 0"
],
"output": [
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..",
"No\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nNo\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nNo\n\nNo\n\n",
"No\n\nNo\n\nNo\n\n",
"..................................\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E..............................E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E..........................E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E......................E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E......................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E..........................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E..............................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n..................................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nNo\n\nNo\n\n",
"EE\nEE\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE\nEE\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nEE\nEE\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"..\n..\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nNo\n\n",
"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..........\n.EEEEEEEE.\n.E......E.\n.E.EEEE.E.\n.E.E..E.E.\n.E.E..E.E.\n.E.EEEE.E.\n.E......E.\n.EEEEEEEE.\n..........\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"..\n..\n\nNo\n\nNo\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nEE\nEE\n\nNo\n\n",
"No\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"No\n\nNo\n\nEE\nEE\n\n",
"No\n\nEE\nEE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"No\n\nNo\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..\n..\n\n",
"..\n..\n\nNo\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n......EE..EE\n.EEEE.EE..EE\n.E..E...EE..\n.E..EEE.EE..\n.EEE..E...EE\n...E..EEE.EE\nEE.EEE..E...\nEE...E..EEE.\n..EE.EEE..E.\n..EE...E..E.\nEE..EE.EEEE.\nEE..EE......\n\n",
"No\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nNo\n\n......EEEE\n.EEEE.E..E\n.E..E.E..E\n.E..E.EEEE\n.EEEE.....\n.....EEEE.\nEEEE.E..E.\nE..E.E..E.\nE..E.EEEE.\nEEEE......\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..\nEE..\n..EE\n..EE\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..\n..\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"............................\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E........................E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E....................E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E................E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E....................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E........................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n............................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\nNo\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n................EEEE\n.EEEEEEEEEEEEEE.E..E\n.E............E.E..E\n.E.EEEEEEEEEE.E.EEEE\n.E.E........E.E.....\n.E.E.EEEEEE.E.EEEEE.\n.E.E.E....E.E.....E.\n.E.E.E.EE.E.EEEEE.E.\n.E.E.E.EE.E.....E.E.\n.E.E.E....EEEEE.E.E.\n.E.E.EEEEE....E.E.E.\n.E.E.....E.EE.E.E.E.\n.E.EEEEE.E.EE.E.E.E.\n.E.....E.E....E.E.E.\n.EEEEE.E.EEEEEE.E.E.\n.....E.E........E.E.\nEEEE.E.EEEEEEEEEE.E.\nE..E.E............E.\nE..E.EEEEEEEEEEEEEE.\nEEEE................\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"No\n\n..\n..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"EE\nEE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n....\n.EE.\n.EE.\n....\n\n",
"....\n.EE.\n.EE.\n....\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\nNo\n\nNo\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\nNo\n\n",
"No\n\n..\n..\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..\n..\n\n....EE..\n.EE.EE..\n.EE...EE\n...EE.EE\nEE.EE...\nEE...EE.\n..EE.EE.\n..EE....\n\nNo\n\n",
"No\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nNo\n\n....EE..EE..\n.EE.EE..EE..\n.EE...EE..EE\n...EE.EE..EE\nEE.EE...EE..\nEE...EE.EE..\n..EE.EE...EE\n..EE...EE.EE\nEE..EE.EE...\nEE..EE...EE.\n..EE..EE.EE.\n..EE..EE....\n\n",
"..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n..EE\n..EE\nEE..\nEE..\n\n"
]
} | 6AIZU
|
p00610 Cleaning Robot 2_1438 | Dr. Asimov, a robotics researcher, released cleaning robots he developed (see Problem B). His robots soon became very popular and he got much income. Now he is pretty rich. Wonderful.
First, he renovated his house. Once his house had 9 rooms that were arranged in a square, but now his house has N × N rooms arranged in a square likewise. Then he laid either black or white carpet on each room.
Since still enough money remained, he decided to spend them for development of a new robot. And finally he completed.
The new robot operates as follows:
* The robot is set on any of N × N rooms, with directing any of north, east, west and south.
* The robot detects color of carpets of lefthand, righthand, and forehand adjacent rooms if exists. If there is exactly one room that its carpet has the same color as carpet of room where it is, the robot changes direction to and moves to and then cleans the room. Otherwise, it halts. Note that halted robot doesn't clean any longer. Following is some examples of robot's movement.
<image>
Figure 1. An example of the room
In Figure 1,
* robot that is on room (1,1) and directing north directs east and goes to (1,2).
* robot that is on room (0,2) and directing north directs west and goes to (0,1).
* robot that is on room (0,0) and directing west halts.
* Since the robot powered by contactless battery chargers that are installed in every rooms, unlike the previous robot, it never stops because of running down of its battery. It keeps working until it halts.
Doctor's house has become larger by the renovation. Therefore, it is not efficient to let only one robot clean. Fortunately, he still has enough budget. So he decided to make a number of same robots and let them clean simultaneously.
The robots interacts as follows:
* No two robots can be set on same room.
* It is still possible for a robot to detect a color of carpet of a room even if the room is occupied by another robot.
* All robots go ahead simultaneously.
* When robots collide (namely, two or more robots are in a single room, or two robots exchange their position after movement), they all halt. Working robots can take such halted robot away.
On every room dust stacks slowly but constantly. To keep his house pure, he wants his robots to work so that dust that stacked on any room at any time will eventually be cleaned.
After thinking deeply, he realized that there exists a carpet layout such that no matter how initial placements of robots are, this condition never can be satisfied. Your task is to output carpet layout that there exists at least one initial placements of robots that meets above condition. Since there may be two or more such layouts, please output the K-th one lexicographically.
Constraints
* Judge data consists of at most 100 data sets.
* 1 ≤ N < 64
* 1 ≤ K < 263
Input
Input file contains several data sets. One data set is given in following format:
N K
Here, N and K are integers that are explained in the problem description.
The end of input is described by a case where N = K = 0. You should output nothing for this case.
Output
Print the K-th carpet layout if exists, "No" (without quotes) otherwise.
The carpet layout is denoted by N lines of string that each has exactly N letters. A room with black carpet and a room with white carpet is denoted by a letter 'E' and '.' respectively. Lexicographically order of carpet layout is defined as that of a string that is obtained by concatenating the first row, the second row, ..., and the N-th row in this order.
Output a blank line after each data set.
Example
Input
2 1
2 3
6 4
0 0
Output
..
..
No
..EEEE
..E..E
EEE..E
E..EEE
E..E..
EEEE.. | #include<iostream>
#include<string>
#define MAX 64
using namespace std;
int main()
{
while(true){
long long int N;
long long int K;
bool tile[MAX+2][MAX+2];
cin >> N >> K;
if( N == 0 && K == 0 ) break;
if( K>(1LL<<(N/2)) || N%2==1 ){ cout << "No\n" << endl; continue; }
--K;
for(long long int j = N-1; j >= 0; --j){
tile[1][j+1]=(K&(1LL<<((N-1-j)/2)));
tile[0][j+1]=!tile[1][j+1];
}
tile[1][0]=!tile[1][1];
tile[1][N+1]=!tile[1][N];
for(int i = 1; i < N; ++i){
for(int j = 0; j < N; ++j){
bool L=tile[i][j],C=tile[i][j+1],R=tile[i][j+2],T=tile[i-1][j+1];
tile[i+1][j+1]=( (!T && !L && !C && R) ||
(!T && !L && C && !R) ||
(!T && !L && C && R) ||
(!T && L && !C && !R) ||
(!T && L && C && !R) ||
( T && !L && !C && !R) ||
( T && !L && C && !R) );
// 0
// 001 = 1
// 0
// 010 = 1
// 0
// 011 = 1
// 0
// 100 = 1
// 0
// 101 = 0
// 0
// 110 = 1
// 0
// 111 = 0
// 1
// 000 = 1
// 1
// 001 = 0
// 1
// 010 = 1
// 1
// 011 = 0
// 1
// 100 = 0
// 1
// 110 = 0
}
tile[i+1][0]=!tile[i+1][1];
tile[i+1][N+1]=!tile[i+1][N];
}
for(int i = 0; i < N; ++i){
for(int j = 0; j < N; ++j){
cout << (tile[i+1][j+1]?'E':'.');
}
cout << endl;
}
cout << endl;
}
return 0;
} | 2C++
| {
"input": [
"2 1\n2 3\n6 4\n0 0",
"3 1\n2 3\n6 4\n0 0",
"4 1\n2 3\n6 4\n0 0",
"3 1\n4 3\n6 4\n0 0",
"4 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n6 6\n0 0",
"8 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n12 4\n0 0",
"8 1\n1 3\n2 6\n0 0",
"5 1\n4 3\n23 4\n0 0",
"16 1\n1 3\n2 6\n0 0",
"19 1\n1 3\n2 6\n0 0",
"34 1\n1 6\n2 6\n0 0",
"2 1\n3 3\n6 4\n0 0",
"5 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n6 7\n0 0",
"5 1\n2 3\n6 2\n0 0",
"16 2\n1 3\n1 6\n0 0",
"2 2\n3 1\n6 4\n0 0",
"5 1\n2 2\n6 2\n0 0",
"8 2\n1 3\n4 8\n0 0",
"4 1\n2 2\n6 2\n0 0",
"5 2\n4 4\n1 1\n0 0",
"2 1\n2 3\n6 8\n0 0",
"4 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 4\n0 0",
"4 1\n1 3\n1 6\n0 0",
"8 2\n1 3\n6 6\n0 0",
"10 1\n4 3\n23 4\n0 0",
"4 1\n2 3\n6 7\n0 0",
"2 1\n4 3\n6 6\n0 0",
"4 1\n2 1\n6 2\n0 0",
"5 2\n4 2\n1 1\n0 0",
"3 3\n4 1\n6 4\n0 0",
"5 1\n6 3\n6 5\n0 0",
"12 1\n4 3\n23 4\n0 0",
"2 1\n3 2\n5 4\n0 0",
"16 2\n2 2\n1 6\n0 0",
"3 4\n3 1\n6 8\n0 0",
"4 2\n2 1\n6 2\n0 0",
"3 3\n2 1\n6 4\n0 0",
"5 1\n6 4\n6 5\n0 0",
"4 1\n2 1\n6 4\n0 0",
"12 2\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 7\n0 0",
"12 1\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 5\n0 0",
"1 2\n3 1\n2 2\n0 0",
"13 1\n2 2\n6 6\n0 0",
"4 1\n1 3\n6 1\n0 0",
"1 1\n2 3\n12 4\n0 0",
"6 1\n1 3\n6 6\n0 0",
"2 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n2 1\n0 0",
"2 1\n3 3\n6 5\n0 0",
"4 1\n4 3\n6 6\n0 0",
"1 1\n4 3\n12 6\n0 0",
"13 1\n1 3\n6 7\n0 0",
"2 1\n3 1\n10 4\n0 0",
"8 1\n1 3\n4 3\n0 0",
"5 1\n4 2\n6 2\n0 0",
"2 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 1\n0 0",
"2 1\n4 3\n21 4\n0 0",
"28 1\n1 3\n2 7\n0 0",
"2 1\n1 1\n8 4\n0 0",
"6 4\n4 3\n1 6\n0 0",
"4 1\n2 1\n1 2\n0 0",
"5 1\n4 4\n2 1\n0 0",
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],
"output": [
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..",
"No\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
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"No\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
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"No\n\nNo\n\nNo\n\n",
"..................................\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E..............................E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E..........................E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E......................E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E......................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E..........................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E..............................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n..................................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
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"No\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nNo\n\nNo\n\n",
"EE\nEE\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
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"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nNo\n\n",
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"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"..\n..\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nNo\n\n",
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"..........\n.EEEEEEEE.\n.E......E.\n.E.EEEE.E.\n.E.E..E.E.\n.E.E..E.E.\n.E.EEEE.E.\n.E......E.\n.EEEEEEEE.\n..........\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"..\n..\n\nNo\n\nNo\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nEE\nEE\n\nNo\n\n",
"No\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"No\n\nNo\n\nEE\nEE\n\n",
"No\n\nEE\nEE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"No\n\nNo\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..\n..\n\n",
"..\n..\n\nNo\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n......EE..EE\n.EEEE.EE..EE\n.E..E...EE..\n.E..EEE.EE..\n.EEE..E...EE\n...E..EEE.EE\nEE.EEE..E...\nEE...E..EEE.\n..EE.EEE..E.\n..EE...E..E.\nEE..EE.EEEE.\nEE..EE......\n\n",
"No\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nNo\n\n......EEEE\n.EEEE.E..E\n.E..E.E..E\n.E..E.EEEE\n.EEEE.....\n.....EEEE.\nEEEE.E..E.\nE..E.E..E.\nE..E.EEEE.\nEEEE......\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..\nEE..\n..EE\n..EE\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..\n..\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"............................\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E........................E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E....................E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E................E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E....................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E........................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n............................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\nNo\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n................EEEE\n.EEEEEEEEEEEEEE.E..E\n.E............E.E..E\n.E.EEEEEEEEEE.E.EEEE\n.E.E........E.E.....\n.E.E.EEEEEE.E.EEEEE.\n.E.E.E....E.E.....E.\n.E.E.E.EE.E.EEEEE.E.\n.E.E.E.EE.E.....E.E.\n.E.E.E....EEEEE.E.E.\n.E.E.EEEEE....E.E.E.\n.E.E.....E.EE.E.E.E.\n.E.EEEEE.E.EE.E.E.E.\n.E.....E.E....E.E.E.\n.EEEEE.E.EEEEEE.E.E.\n.....E.E........E.E.\nEEEE.E.EEEEEEEEEE.E.\nE..E.E............E.\nE..E.EEEEEEEEEEEEEE.\nEEEE................\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"No\n\n..\n..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"EE\nEE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n....\n.EE.\n.EE.\n....\n\n",
"....\n.EE.\n.EE.\n....\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\nNo\n\nNo\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\nNo\n\n",
"No\n\n..\n..\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..\n..\n\n....EE..\n.EE.EE..\n.EE...EE\n...EE.EE\nEE.EE...\nEE...EE.\n..EE.EE.\n..EE....\n\nNo\n\n",
"No\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nNo\n\n....EE..EE..\n.EE.EE..EE..\n.EE...EE..EE\n...EE.EE..EE\nEE.EE...EE..\nEE...EE.EE..\n..EE.EE...EE\n..EE...EE.EE\nEE..EE.EE...\nEE..EE...EE.\n..EE..EE.EE.\n..EE..EE....\n\n",
"..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n..EE\n..EE\nEE..\nEE..\n\n"
]
} | 6AIZU
|
p00610 Cleaning Robot 2_1439 | Dr. Asimov, a robotics researcher, released cleaning robots he developed (see Problem B). His robots soon became very popular and he got much income. Now he is pretty rich. Wonderful.
First, he renovated his house. Once his house had 9 rooms that were arranged in a square, but now his house has N × N rooms arranged in a square likewise. Then he laid either black or white carpet on each room.
Since still enough money remained, he decided to spend them for development of a new robot. And finally he completed.
The new robot operates as follows:
* The robot is set on any of N × N rooms, with directing any of north, east, west and south.
* The robot detects color of carpets of lefthand, righthand, and forehand adjacent rooms if exists. If there is exactly one room that its carpet has the same color as carpet of room where it is, the robot changes direction to and moves to and then cleans the room. Otherwise, it halts. Note that halted robot doesn't clean any longer. Following is some examples of robot's movement.
<image>
Figure 1. An example of the room
In Figure 1,
* robot that is on room (1,1) and directing north directs east and goes to (1,2).
* robot that is on room (0,2) and directing north directs west and goes to (0,1).
* robot that is on room (0,0) and directing west halts.
* Since the robot powered by contactless battery chargers that are installed in every rooms, unlike the previous robot, it never stops because of running down of its battery. It keeps working until it halts.
Doctor's house has become larger by the renovation. Therefore, it is not efficient to let only one robot clean. Fortunately, he still has enough budget. So he decided to make a number of same robots and let them clean simultaneously.
The robots interacts as follows:
* No two robots can be set on same room.
* It is still possible for a robot to detect a color of carpet of a room even if the room is occupied by another robot.
* All robots go ahead simultaneously.
* When robots collide (namely, two or more robots are in a single room, or two robots exchange their position after movement), they all halt. Working robots can take such halted robot away.
On every room dust stacks slowly but constantly. To keep his house pure, he wants his robots to work so that dust that stacked on any room at any time will eventually be cleaned.
After thinking deeply, he realized that there exists a carpet layout such that no matter how initial placements of robots are, this condition never can be satisfied. Your task is to output carpet layout that there exists at least one initial placements of robots that meets above condition. Since there may be two or more such layouts, please output the K-th one lexicographically.
Constraints
* Judge data consists of at most 100 data sets.
* 1 ≤ N < 64
* 1 ≤ K < 263
Input
Input file contains several data sets. One data set is given in following format:
N K
Here, N and K are integers that are explained in the problem description.
The end of input is described by a case where N = K = 0. You should output nothing for this case.
Output
Print the K-th carpet layout if exists, "No" (without quotes) otherwise.
The carpet layout is denoted by N lines of string that each has exactly N letters. A room with black carpet and a room with white carpet is denoted by a letter 'E' and '.' respectively. Lexicographically order of carpet layout is defined as that of a string that is obtained by concatenating the first row, the second row, ..., and the N-th row in this order.
Output a blank line after each data set.
Example
Input
2 1
2 3
6 4
0 0
Output
..
..
No
..EEEE
..E..E
EEE..E
E..EEE
E..E..
EEEE.. | # AOJ 1024 Cleaning Robot 2.0
# Python3 2018.7.5 bal4u
mv = ((-1,0), (0,1), (1,0), (0,-1))
d2c = {0:'.', 1:'E'}
while True:
n, k = map(int, input().split())
if n == 0: break
k, n1 = k-1, n-1
if (n & 1) or k >= (1<<(n>>1)):
print("No\n")
continue
arr = [[-1 for c in range(n)] for r in range(n)]
for c in range(n): arr[0][c] = (k>>((n1-c)>>1)) & 1
for r in range(n1):
for c in range(n):
f, t = 0, arr[r][c]
for i in range(4):
nr, nc = r + mv[i][0], c + mv[i][1]
if nr >= 0 and nr < n and nc >= 0 and nc < n and arr[nr][nc] == t: f += 1
arr[r+1][c] = 1-t if f==2 else t
for r in range(n): print(''.join([d2c[arr[r][c]] for c in range(n)]))
print()
| 3Python3
| {
"input": [
"2 1\n2 3\n6 4\n0 0",
"3 1\n2 3\n6 4\n0 0",
"4 1\n2 3\n6 4\n0 0",
"3 1\n4 3\n6 4\n0 0",
"4 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n6 6\n0 0",
"8 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n12 4\n0 0",
"8 1\n1 3\n2 6\n0 0",
"5 1\n4 3\n23 4\n0 0",
"16 1\n1 3\n2 6\n0 0",
"19 1\n1 3\n2 6\n0 0",
"34 1\n1 6\n2 6\n0 0",
"2 1\n3 3\n6 4\n0 0",
"5 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n6 7\n0 0",
"5 1\n2 3\n6 2\n0 0",
"16 2\n1 3\n1 6\n0 0",
"2 2\n3 1\n6 4\n0 0",
"5 1\n2 2\n6 2\n0 0",
"8 2\n1 3\n4 8\n0 0",
"4 1\n2 2\n6 2\n0 0",
"5 2\n4 4\n1 1\n0 0",
"2 1\n2 3\n6 8\n0 0",
"4 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 4\n0 0",
"4 1\n1 3\n1 6\n0 0",
"8 2\n1 3\n6 6\n0 0",
"10 1\n4 3\n23 4\n0 0",
"4 1\n2 3\n6 7\n0 0",
"2 1\n4 3\n6 6\n0 0",
"4 1\n2 1\n6 2\n0 0",
"5 2\n4 2\n1 1\n0 0",
"3 3\n4 1\n6 4\n0 0",
"5 1\n6 3\n6 5\n0 0",
"12 1\n4 3\n23 4\n0 0",
"2 1\n3 2\n5 4\n0 0",
"16 2\n2 2\n1 6\n0 0",
"3 4\n3 1\n6 8\n0 0",
"4 2\n2 1\n6 2\n0 0",
"3 3\n2 1\n6 4\n0 0",
"5 1\n6 4\n6 5\n0 0",
"4 1\n2 1\n6 4\n0 0",
"12 2\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 7\n0 0",
"12 1\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 5\n0 0",
"1 2\n3 1\n2 2\n0 0",
"13 1\n2 2\n6 6\n0 0",
"4 1\n1 3\n6 1\n0 0",
"1 1\n2 3\n12 4\n0 0",
"6 1\n1 3\n6 6\n0 0",
"2 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n2 1\n0 0",
"2 1\n3 3\n6 5\n0 0",
"4 1\n4 3\n6 6\n0 0",
"1 1\n4 3\n12 6\n0 0",
"13 1\n1 3\n6 7\n0 0",
"2 1\n3 1\n10 4\n0 0",
"8 1\n1 3\n4 3\n0 0",
"5 1\n4 2\n6 2\n0 0",
"2 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 1\n0 0",
"2 1\n4 3\n21 4\n0 0",
"28 1\n1 3\n2 7\n0 0",
"2 1\n1 1\n8 4\n0 0",
"6 4\n4 3\n1 6\n0 0",
"4 1\n2 1\n1 2\n0 0",
"5 1\n4 4\n2 1\n0 0",
"5 1\n6 3\n6 8\n0 0",
"1 1\n4 3\n20 4\n0 0",
"12 1\n4 4\n23 4\n0 0",
"3 3\n2 1\n6 8\n0 0",
"6 1\n3 1\n6 2\n0 0",
"5 1\n4 4\n6 5\n0 0",
"4 3\n2 1\n6 7\n0 0",
"13 1\n1 6\n8 6\n0 0",
"3 3\n2 2\n6 5\n0 0",
"16 1\n2 2\n2 6\n0 0",
"5 1\n6 2\n6 2\n0 0",
"2 2\n2 3\n6 15\n0 0",
"2 3\n3 1\n8 4\n0 0",
"5 1\n4 4\n4 1\n0 0",
"4 1\n6 3\n6 8\n0 0",
"4 3\n4 3\n1 6\n0 0",
"5 1\n4 1\n6 5\n0 0",
"4 4\n2 1\n6 7\n0 0",
"4 2\n3 1\n9 2\n0 0",
"8 1\n1 6\n8 6\n0 0",
"3 3\n2 2\n7 5\n0 0",
"1 2\n6 2\n2 4\n0 0",
"1 1\n2 1\n6 6\n0 0",
"2 1\n6 5\n6 5\n0 0",
"2 1\n8 3\n21 7\n0 0",
"2 3\n6 1\n8 4\n0 0",
"31 1\n1 6\n12 11\n0 0",
"6 3\n4 3\n1 6\n0 0",
"5 1\n4 2\n6 5\n0 0",
"12 2\n1 5\n10 22\n0 0",
"4 3\n3 1\n9 2\n0 0",
"1 1\n3 1\n4 2\n0 0"
],
"output": [
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..",
"No\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nNo\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nNo\n\nNo\n\n",
"No\n\nNo\n\nNo\n\n",
"..................................\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E..............................E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E..........................E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E......................E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E......................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E..........................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E..............................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n..................................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nNo\n\nNo\n\n",
"EE\nEE\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE\nEE\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nEE\nEE\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"..\n..\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nNo\n\n",
"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..........\n.EEEEEEEE.\n.E......E.\n.E.EEEE.E.\n.E.E..E.E.\n.E.E..E.E.\n.E.EEEE.E.\n.E......E.\n.EEEEEEEE.\n..........\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"..\n..\n\nNo\n\nNo\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nEE\nEE\n\nNo\n\n",
"No\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"No\n\nNo\n\nEE\nEE\n\n",
"No\n\nEE\nEE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"No\n\nNo\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..\n..\n\n",
"..\n..\n\nNo\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n......EE..EE\n.EEEE.EE..EE\n.E..E...EE..\n.E..EEE.EE..\n.EEE..E...EE\n...E..EEE.EE\nEE.EEE..E...\nEE...E..EEE.\n..EE.EEE..E.\n..EE...E..E.\nEE..EE.EEEE.\nEE..EE......\n\n",
"No\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nNo\n\n......EEEE\n.EEEE.E..E\n.E..E.E..E\n.E..E.EEEE\n.EEEE.....\n.....EEEE.\nEEEE.E..E.\nE..E.E..E.\nE..E.EEEE.\nEEEE......\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..\nEE..\n..EE\n..EE\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..\n..\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"............................\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E........................E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E....................E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E................E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E....................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E........................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n............................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\nNo\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n................EEEE\n.EEEEEEEEEEEEEE.E..E\n.E............E.E..E\n.E.EEEEEEEEEE.E.EEEE\n.E.E........E.E.....\n.E.E.EEEEEE.E.EEEEE.\n.E.E.E....E.E.....E.\n.E.E.E.EE.E.EEEEE.E.\n.E.E.E.EE.E.....E.E.\n.E.E.E....EEEEE.E.E.\n.E.E.EEEEE....E.E.E.\n.E.E.....E.EE.E.E.E.\n.E.EEEEE.E.EE.E.E.E.\n.E.....E.E....E.E.E.\n.EEEEE.E.EEEEEE.E.E.\n.....E.E........E.E.\nEEEE.E.EEEEEEEEEE.E.\nE..E.E............E.\nE..E.EEEEEEEEEEEEEE.\nEEEE................\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"No\n\n..\n..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"EE\nEE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n....\n.EE.\n.EE.\n....\n\n",
"....\n.EE.\n.EE.\n....\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\nNo\n\nNo\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\nNo\n\n",
"No\n\n..\n..\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..\n..\n\n....EE..\n.EE.EE..\n.EE...EE\n...EE.EE\nEE.EE...\nEE...EE.\n..EE.EE.\n..EE....\n\nNo\n\n",
"No\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nNo\n\n....EE..EE..\n.EE.EE..EE..\n.EE...EE..EE\n...EE.EE..EE\nEE.EE...EE..\nEE...EE.EE..\n..EE.EE...EE\n..EE...EE.EE\nEE..EE.EE...\nEE..EE...EE.\n..EE..EE.EE.\n..EE..EE....\n\n",
"..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n..EE\n..EE\nEE..\nEE..\n\n"
]
} | 6AIZU
|
p00610 Cleaning Robot 2_1440 | Dr. Asimov, a robotics researcher, released cleaning robots he developed (see Problem B). His robots soon became very popular and he got much income. Now he is pretty rich. Wonderful.
First, he renovated his house. Once his house had 9 rooms that were arranged in a square, but now his house has N × N rooms arranged in a square likewise. Then he laid either black or white carpet on each room.
Since still enough money remained, he decided to spend them for development of a new robot. And finally he completed.
The new robot operates as follows:
* The robot is set on any of N × N rooms, with directing any of north, east, west and south.
* The robot detects color of carpets of lefthand, righthand, and forehand adjacent rooms if exists. If there is exactly one room that its carpet has the same color as carpet of room where it is, the robot changes direction to and moves to and then cleans the room. Otherwise, it halts. Note that halted robot doesn't clean any longer. Following is some examples of robot's movement.
<image>
Figure 1. An example of the room
In Figure 1,
* robot that is on room (1,1) and directing north directs east and goes to (1,2).
* robot that is on room (0,2) and directing north directs west and goes to (0,1).
* robot that is on room (0,0) and directing west halts.
* Since the robot powered by contactless battery chargers that are installed in every rooms, unlike the previous robot, it never stops because of running down of its battery. It keeps working until it halts.
Doctor's house has become larger by the renovation. Therefore, it is not efficient to let only one robot clean. Fortunately, he still has enough budget. So he decided to make a number of same robots and let them clean simultaneously.
The robots interacts as follows:
* No two robots can be set on same room.
* It is still possible for a robot to detect a color of carpet of a room even if the room is occupied by another robot.
* All robots go ahead simultaneously.
* When robots collide (namely, two or more robots are in a single room, or two robots exchange their position after movement), they all halt. Working robots can take such halted robot away.
On every room dust stacks slowly but constantly. To keep his house pure, he wants his robots to work so that dust that stacked on any room at any time will eventually be cleaned.
After thinking deeply, he realized that there exists a carpet layout such that no matter how initial placements of robots are, this condition never can be satisfied. Your task is to output carpet layout that there exists at least one initial placements of robots that meets above condition. Since there may be two or more such layouts, please output the K-th one lexicographically.
Constraints
* Judge data consists of at most 100 data sets.
* 1 ≤ N < 64
* 1 ≤ K < 263
Input
Input file contains several data sets. One data set is given in following format:
N K
Here, N and K are integers that are explained in the problem description.
The end of input is described by a case where N = K = 0. You should output nothing for this case.
Output
Print the K-th carpet layout if exists, "No" (without quotes) otherwise.
The carpet layout is denoted by N lines of string that each has exactly N letters. A room with black carpet and a room with white carpet is denoted by a letter 'E' and '.' respectively. Lexicographically order of carpet layout is defined as that of a string that is obtained by concatenating the first row, the second row, ..., and the N-th row in this order.
Output a blank line after each data set.
Example
Input
2 1
2 3
6 4
0 0
Output
..
..
No
..EEEE
..E..E
EEE..E
E..EEE
E..E..
EEEE.. | import java.util.Scanner;
public class Main {
static Scanner sc = new Scanner(System.in);
public static void main(String[] args) throws Exception {
while (true) {
int N = sc.nextInt();
long K = sc.nextLong();
if (N == 0 && K == 0) break;
solve(N, K);
}
}
static void solve(int N, long K) {
if (N % 2 != 0 || K > (1 << (N / 2))) {
System.out.println("No");
System.out.println();
return;
}
--K;
boolean[][] f = new boolean[N][N];
for (int i = 0; i < N / 2; ++i) {
f[i][i] = i % 2 == 0 ^ (K & (1 << (N / 2 - i - 1))) == 0;
for (int j = 1; j <= i; ++j) {
f[i - j][i + j] = f[i + j][i - j] = f[i][i] ^ j % 2 != 0;
}
for (int j = 0; j <= i; ++j) {
int r = i - j;
int c = i + 1 + j;
int count = 0;
if (f[r][c - 1] == f[r + 1][c - 1]) ++count;
if (r != 0 && f[r][c - 1] == f[r - 1][c - 1]) ++count;
if (c > 1 && f[r][c - 1] == f[r][c - 2]) ++count;
f[r][c] = count >= 2 ? !f[r][c - 1] : f[r][c - 1];
}
for (int j = 0; j <= i; ++j) {
int r = i + 1 + j;
int c = i - j;
int count = 0;
if (f[r - 1][c] == f[r - 1][c + 1]) ++count;
if (c != 0 && f[r - 1][c] == f[r - 1][c - 1]) ++count;
if (r > 1 && f[r - 1][c] == f[r - 2][c]) ++count;
f[r][c] = count >= 2 ? !f[r - 1][c] : f[r - 1][c];
}
}
for (int i = 0; i < N; ++i) {
for (int j = 0; j < N - i - 1; ++j) {
f[N - 1 - i][N - 1 - j] = f[i][j];
}
}
for (int i = 0; i < N; ++i) {
for (int j = 0; j < N; ++j) {
System.out.print(f[i][j] ? 'E' : '.');
}
System.out.println();
}
System.out.println();
}
} | 4JAVA
| {
"input": [
"2 1\n2 3\n6 4\n0 0",
"3 1\n2 3\n6 4\n0 0",
"4 1\n2 3\n6 4\n0 0",
"3 1\n4 3\n6 4\n0 0",
"4 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n6 6\n0 0",
"8 1\n1 3\n6 6\n0 0",
"5 1\n4 3\n12 4\n0 0",
"8 1\n1 3\n2 6\n0 0",
"5 1\n4 3\n23 4\n0 0",
"16 1\n1 3\n2 6\n0 0",
"19 1\n1 3\n2 6\n0 0",
"34 1\n1 6\n2 6\n0 0",
"2 1\n3 3\n6 4\n0 0",
"5 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n6 7\n0 0",
"5 1\n2 3\n6 2\n0 0",
"16 2\n1 3\n1 6\n0 0",
"2 2\n3 1\n6 4\n0 0",
"5 1\n2 2\n6 2\n0 0",
"8 2\n1 3\n4 8\n0 0",
"4 1\n2 2\n6 2\n0 0",
"5 2\n4 4\n1 1\n0 0",
"2 1\n2 3\n6 8\n0 0",
"4 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 4\n0 0",
"4 1\n1 3\n1 6\n0 0",
"8 2\n1 3\n6 6\n0 0",
"10 1\n4 3\n23 4\n0 0",
"4 1\n2 3\n6 7\n0 0",
"2 1\n4 3\n6 6\n0 0",
"4 1\n2 1\n6 2\n0 0",
"5 2\n4 2\n1 1\n0 0",
"3 3\n4 1\n6 4\n0 0",
"5 1\n6 3\n6 5\n0 0",
"12 1\n4 3\n23 4\n0 0",
"2 1\n3 2\n5 4\n0 0",
"16 2\n2 2\n1 6\n0 0",
"3 4\n3 1\n6 8\n0 0",
"4 2\n2 1\n6 2\n0 0",
"3 3\n2 1\n6 4\n0 0",
"5 1\n6 4\n6 5\n0 0",
"4 1\n2 1\n6 4\n0 0",
"12 2\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 7\n0 0",
"12 1\n1 3\n4 22\n0 0",
"3 3\n2 1\n6 5\n0 0",
"1 2\n3 1\n2 2\n0 0",
"13 1\n2 2\n6 6\n0 0",
"4 1\n1 3\n6 1\n0 0",
"1 1\n2 3\n12 4\n0 0",
"6 1\n1 3\n6 6\n0 0",
"2 1\n1 3\n6 6\n0 0",
"8 1\n1 3\n2 1\n0 0",
"2 1\n3 3\n6 5\n0 0",
"4 1\n4 3\n6 6\n0 0",
"1 1\n4 3\n12 6\n0 0",
"13 1\n1 3\n6 7\n0 0",
"2 1\n3 1\n10 4\n0 0",
"8 1\n1 3\n4 3\n0 0",
"5 1\n4 2\n6 2\n0 0",
"2 1\n2 3\n6 2\n0 0",
"5 1\n6 3\n6 1\n0 0",
"2 1\n4 3\n21 4\n0 0",
"28 1\n1 3\n2 7\n0 0",
"2 1\n1 1\n8 4\n0 0",
"6 4\n4 3\n1 6\n0 0",
"4 1\n2 1\n1 2\n0 0",
"5 1\n4 4\n2 1\n0 0",
"5 1\n6 3\n6 8\n0 0",
"1 1\n4 3\n20 4\n0 0",
"12 1\n4 4\n23 4\n0 0",
"3 3\n2 1\n6 8\n0 0",
"6 1\n3 1\n6 2\n0 0",
"5 1\n4 4\n6 5\n0 0",
"4 3\n2 1\n6 7\n0 0",
"13 1\n1 6\n8 6\n0 0",
"3 3\n2 2\n6 5\n0 0",
"16 1\n2 2\n2 6\n0 0",
"5 1\n6 2\n6 2\n0 0",
"2 2\n2 3\n6 15\n0 0",
"2 3\n3 1\n8 4\n0 0",
"5 1\n4 4\n4 1\n0 0",
"4 1\n6 3\n6 8\n0 0",
"4 3\n4 3\n1 6\n0 0",
"5 1\n4 1\n6 5\n0 0",
"4 4\n2 1\n6 7\n0 0",
"4 2\n3 1\n9 2\n0 0",
"8 1\n1 6\n8 6\n0 0",
"3 3\n2 2\n7 5\n0 0",
"1 2\n6 2\n2 4\n0 0",
"1 1\n2 1\n6 6\n0 0",
"2 1\n6 5\n6 5\n0 0",
"2 1\n8 3\n21 7\n0 0",
"2 3\n6 1\n8 4\n0 0",
"31 1\n1 6\n12 11\n0 0",
"6 3\n4 3\n1 6\n0 0",
"5 1\n4 2\n6 5\n0 0",
"12 2\n1 5\n10 22\n0 0",
"4 3\n3 1\n9 2\n0 0",
"1 1\n3 1\n4 2\n0 0"
],
"output": [
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..",
"No\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nNo\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nNo\n\nNo\n\n",
"No\n\nNo\n\nNo\n\n",
"..................................\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E..............................E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E..........................E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E......................E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.E..E.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E.EEEE.E.E.E.E.E.E.E.\n.E.E.E.E.E.E.E......E.E.E.E.E.E.E.\n.E.E.E.E.E.E.EEEEEEEE.E.E.E.E.E.E.\n.E.E.E.E.E.E..........E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEEEEEEEE.E.E.E.E.E.\n.E.E.E.E.E..............E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEEEEEEEE.E.E.E.E.\n.E.E.E.E..................E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEEEEEEEE.E.E.E.\n.E.E.E......................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEEEEEEEE.E.E.\n.E.E..........................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEEEEEEEE.E.\n.E..............................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.\n..................................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nNo\n\nNo\n\n",
"EE\nEE\n\nNo\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\nEE\nEE\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nEE\nEE\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"..\n..\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nNo\n\n",
"......EE\n.EEEE.EE\n.E..E...\n.E..EEE.\n.EEE..E.\n...E..E.\nEE.EEEE.\nEE......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..........\n.EEEEEEEE.\n.E......E.\n.E.EEEE.E.\n.E.E..E.E.\n.E.E..E.E.\n.E.EEEE.E.\n.E......E.\n.EEEEEEEE.\n..........\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"..\n..\n\nNo\n\nNo\n\n",
"..............EE\n.EEEEEEEEEEEE.EE\n.E..........E...\n.E.EEEEEEEE.EEE.\n.E.E......E...E.\n.E.E.EEEE.EEE.E.\n.E.E.E..E...E.E.\n.E.E.E..EEE.E.E.\n.E.E.EEE..E.E.E.\n.E.E...E..E.E.E.\n.E.EEE.EEEE.E.E.\n.E...E......E.E.\n.EEE.EEEEEEEE.E.\n...E..........E.\nEE.EEEEEEEEEEEE.\nEE..............\n\nEE\nEE\n\nNo\n\n",
"No\n\nNo\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\n..\n..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"No\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\n..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nNo\n\nNo\n\n",
"No\n\n..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"No\n\nNo\n\nEE\nEE\n\n",
"No\n\nEE\nEE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"....\n.EE.\n.EE.\n....\n\nNo\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"No\n\nNo\n\n........EEEE\n.EEEEEE.E..E\n.E....E.E..E\n.E.EE.E.EEEE\n.E.EE.E.....\n.E....EEEEE.\n.EEEEE....E.\n.....E.EE.E.\nEEEE.E.EE.E.\nE..E.E....E.\nE..E.EEEEEE.\nEEEE........\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nNo\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..\n..\n\n",
"..\n..\n\nNo\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"....\n.EE.\n.EE.\n....\n\nEE..\nEE..\n..EE\n..EE\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n......EE..EE\n.EEEE.EE..EE\n.E..E...EE..\n.E..EEE.EE..\n.EEE..E...EE\n...E..EEE.EE\nEE.EEE..E...\nEE...E..EEE.\n..EE.EEE..E.\n..EE...E..E.\nEE..EE.EEEE.\nEE..EE......\n\n",
"No\n\nNo\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..\n..\n\nNo\n\n......EEEE\n.EEEE.E..E\n.E..E.E..E\n.E..E.EEEE\n.EEEE.....\n.....EEEE.\nEEEE.E..E.\nE..E.E..E.\nE..E.EEEE.\nEEEE......\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\nEE..\nEE..\n..EE\n..EE\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"..\n..\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n",
"..\n..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"............................\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n.E........................E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E.E....................E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E.E................E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E.EE.E.E.E.E.E.E.\n.E.E.E.E.E.E....E.E.E.E.E.E.\n.E.E.E.E.E.EEEEEE.E.E.E.E.E.\n.E.E.E.E.E........E.E.E.E.E.\n.E.E.E.E.EEEEEEEEEE.E.E.E.E.\n.E.E.E.E............E.E.E.E.\n.E.E.E.EEEEEEEEEEEEEE.E.E.E.\n.E.E.E................E.E.E.\n.E.E.EEEEEEEEEEEEEEEEEE.E.E.\n.E.E....................E.E.\n.E.EEEEEEEEEEEEEEEEEEEEEE.E.\n.E........................E.\n.EEEEEEEEEEEEEEEEEEEEEEEEEE.\n............................\n\nNo\n\nNo\n\n",
"..\n..\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"..EEEE\n..E..E\nEEE..E\nE..EEE\nE..E..\nEEEE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"....\n.EE.\n.EE.\n....\n\n..\n..\n\nNo\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\n",
"No\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"No\n\nEE..\nEE..\n..EE\n..EE\n\n................EEEE\n.EEEEEEEEEEEEEE.E..E\n.E............E.E..E\n.E.EEEEEEEEEE.E.EEEE\n.E.E........E.E.....\n.E.E.EEEEEE.E.EEEEE.\n.E.E.E....E.E.....E.\n.E.E.E.EE.E.EEEEE.E.\n.E.E.E.EE.E.....E.E.\n.E.E.E....EEEEE.E.E.\n.E.E.EEEEE....E.E.E.\n.E.E.....E.EE.E.E.E.\n.E.EEEEE.E.EE.E.E.E.\n.E.....E.E....E.E.E.\n.EEEEE.E.EEEEEE.E.E.\n.....E.E........E.E.\nEEEE.E.EEEEEEEEEE.E.\nE..E.E............E.\nE..E.EEEEEEEEEEEEEE.\nEEEE................\n\n",
"............\n.EEEEEEEEEE.\n.E........E.\n.E.EEEEEE.E.\n.E.E....E.E.\n.E.E.EE.E.E.\n.E.E.EE.E.E.\n.E.E....E.E.\n.E.EEEEEE.E.\n.E........E.\n.EEEEEEEEEE.\n............\n\nEEEE\nE..E\nE..E\nEEEE\n\nNo\n\n",
"No\n\n..\n..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\nNo\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"No\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"................\n.EEEEEEEEEEEEEE.\n.E............E.\n.E.EEEEEEEEEE.E.\n.E.E........E.E.\n.E.E.EEEEEE.E.E.\n.E.E.E....E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E.EE.E.E.E.\n.E.E.E....E.E.E.\n.E.E.EEEEEE.E.E.\n.E.E........E.E.\n.E.EEEEEEEEEE.E.\n.E............E.\n.EEEEEEEEEEEEEE.\n................\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\n",
"EE\nEE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nEEEE\nE..E\nE..E\nEEEE\n\n....\n.EE.\n.EE.\n....\n\n",
"....\n.EE.\n.EE.\n....\n\n..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEEEEEE\nE....E\nE.EE.E\nE.EE.E\nE....E\nEEEEEE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n....\n.EE.\n.EE.\n....\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"EEEE\nE..E\nE..E\nEEEE\n\n..\n..\n\nEEEE..\nE..E..\nE..EEE\nEEE..E\n..E..E\n..EEEE\n\n",
"..EE\n..EE\nEE..\nEE..\n\nNo\n\nNo\n\n",
"........\n.EEEEEE.\n.E....E.\n.E.EE.E.\n.E.EE.E.\n.E....E.\n.EEEEEE.\n........\n\nNo\n\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n..EE..EE\n..EE..EE\nEE..EE..\nEE..EE..\n\n",
"No\n\nEE\nEE\n\nNo\n\n",
"No\n\n....EE\n.EE.EE\n.EE...\n...EE.\nEE.EE.\nEE....\n\nNo\n\n",
"No\n\n..\n..\n\nEE..EE\nEE..EE\n..EE..\n..EE..\nEE..EE\nEE..EE\n\n",
"..\n..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..\n..\n\n....EE..\n.EE.EE..\n.EE...EE\n...EE.EE\nEE.EE...\nEE...EE.\n..EE.EE.\n..EE....\n\nNo\n\n",
"No\n\n......\n.EEEE.\n.E..E.\n.E..E.\n.EEEE.\n......\n\n....EEEE\n.EE.E..E\n.EE.E..E\n....EEEE\nEEEE....\nE..E.EE.\nE..E.EE.\nEEEE....\n\n",
"No\n\nNo\n\n....EE..EE..\n.EE.EE..EE..\n.EE...EE..EE\n...EE.EE..EE\nEE.EE...EE..\nEE...EE.EE..\n..EE.EE...EE\n..EE...EE.EE\nEE..EE.EE...\nEE..EE...EE.\n..EE..EE.EE.\n..EE..EE....\n\n",
"..EE..\n..EE..\nEE..EE\nEE..EE\n..EE..\n..EE..\n\nEE..\nEE..\n..EE\n..EE\n\nNo\n\n",
"No\n\n..EE\n..EE\nEE..\nEE..\n\nEE....\nEE.EE.\n...EE.\n.EE...\n.EE.EE\n....EE\n\n",
"..........EE\n.EEEEEEEE.EE\n.E......E...\n.E.EEEE.EEE.\n.E.E..E...E.\n.E.E..EEE.E.\n.E.EEE..E.E.\n.E...E..E.E.\n.EEE.EEEE.E.\n...E......E.\nEE.EEEEEEEE.\nEE..........\n\nNo\n\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n..EE..EE..\n..EE..EE..\nEE..EE..EE\nEE..EE..EE\n\n",
"EE..\nEE..\n..EE\n..EE\n\nNo\n\nNo\n\n",
"No\n\nNo\n\n..EE\n..EE\nEE..\nEE..\n\n"
]
} | 6AIZU
|
p00748 Pollock's conjecture_1441 | The nth triangular number is defined as the sum of the first n positive integers. The nth tetrahedral number is defined as the sum of the first n triangular numbers. It is easy to show that the nth tetrahedral number is equal to n(n+1)(n+2) ⁄ 6. For example, the 5th tetrahedral number is 1+(1+2)+(1+2+3)+(1+2+3+4)+(1+2+3+4+5) = 5×6×7 ⁄ 6 = 35.
The first 5 triangular numbers 1, 3, 6, 10, 15
Tr\[1\] Tr\[2\] Tr\[3\] Tr\[4\] Tr\[5\]
The first 5 tetrahedral numbers 1, 4, 10, 20, 35
Tet\[1\] Tet\[2\] Tet\[3\] Tet\[4\] Tet\[5\]
In 1850, Sir Frederick Pollock, 1st Baronet, who was not a professional mathematician but a British lawyer and Tory (currently known as Conservative) politician, conjectured that every positive integer can be represented as the sum of at most five tetrahedral numbers. Here, a tetrahedral number may occur in the sum more than once and, in such a case, each occurrence is counted separately. The conjecture has been open for more than one and a half century.
Your mission is to write a program to verify Pollock's conjecture for individual integers. Your program should make a calculation of the least number of tetrahedral numbers to represent each input integer as their sum. In addition, for some unknown reason, your program should make a similar calculation with only odd tetrahedral numbers available.
For example, one can represent 40 as the sum of 2 tetrahedral numbers, 4×5×6 ⁄ 6 + 4×5×6 ⁄ 6, but 40 itself is not a tetrahedral number. One can represent 40 as the sum of 6 odd tetrahedral numbers, 5×6×7 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6, but cannot represent as the sum of fewer odd tetrahedral numbers. Thus, your program should report 2 and 6 if 40 is given.
Input
The input is a sequence of lines each of which contains a single positive integer less than 106. The end of the input is indicated by a line containing a single zero.
Output
For each input positive integer, output a line containing two integers separated by a space. The first integer should be the least number of tetrahedral numbers to represent the input integer as their sum. The second integer should be the least number of odd tetrahedral numbers to represent the input integer as their sum. No extra characters should appear in the output.
Sample Input
40
14
5
165
120
103
106
139
0
Output for the Sample Input
2 6
2 14
2 5
1 1
1 18
5 35
4 4
3 37
Example
Input
40
14
5
165
120
103
106
139
0
Output
2 6
2 14
2 5
1 1
1 18
5 35
4 4
3 37 | #include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int MOD = 1e9+7;
template<class T>bool chmin(T &a, const T &b)
{ return (a>b ? (a=b)||1 : 0); }
int main(){
vector<int> d,e;
for(int i=1; i<=200; i++){
int m = i*(i+1)*(i+2)/6;
d.push_back(m);
if(m%2) e.push_back(m);
}
vector<int> dp1(1000001,1e8);
vector<int> dp2(1000001,1e8);
dp1.at(0) = 0;
dp2.at(0) = 0;
for(int i=0; i<=1000000; i++){
for(auto j:d){
if(i+j<=1e6){
chmin(dp1.at(i+j),dp1.at(i)+1);
}
}
for(auto j:e){
if(i+j<=1e6){
chmin(dp2.at(i+j),dp2.at(i)+1);
}
}
}
while(1){
int n; cin>>n;
if(!n) break;
cout << dp1.at(n)<<' '<<dp2.at(n)<<endl;
}
}
| 2C++
| {
"input": [
"40\n14\n5\n165\n120\n103\n106\n139\n0",
"40\n14\n5\n165\n120\n133\n106\n139\n0",
"40\n14\n5\n98\n120\n133\n106\n139\n0",
"40\n14\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n70\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n49\n106\n241\n0",
"40\n14\n5\n165\n120\n103\n137\n139\n0",
"40\n14\n5\n165\n120\n133\n106\n5\n0",
"40\n23\n5\n98\n120\n133\n106\n139\n0",
"40\n10\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n55\n120\n133\n106\n150\n0",
"40\n14\n9\n121\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n72\n55\n106\n150\n0",
"40\n14\n5\n29\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n160\n150\n0",
"40\n14\n9\n29\n79\n133\n25\n241\n0",
"40\n14\n9\n20\n32\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n106\n241\n0",
"40\n14\n0\n165\n120\n103\n137\n139\n0",
"40\n14\n5\n165\n120\n219\n106\n5\n0",
"40\n44\n5\n98\n120\n133\n106\n139\n0",
"40\n19\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n55\n120\n133\n61\n150\n0",
"40\n14\n9\n70\n120\n55\n106\n150\n0",
"40\n14\n5\n29\n72\n133\n106\n207\n0",
"40\n14\n9\n29\n79\n133\n160\n171\n0",
"40\n14\n9\n29\n79\n133\n9\n241\n0",
"40\n9\n9\n20\n32\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n65\n241\n0",
"40\n14\n5\n165\n213\n219\n106\n5\n0",
"40\n38\n5\n98\n120\n133\n106\n139\n0",
"40\n14\n5\n55\n120\n199\n61\n150\n0",
"40\n11\n0\n121\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n120\n55\n195\n150\n0",
"40\n14\n5\n29\n72\n158\n106\n207\n0",
"40\n14\n9\n29\n41\n133\n160\n171\n0",
"40\n14\n4\n29\n79\n133\n9\n241\n0",
"40\n9\n9\n20\n17\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n77\n241\n0",
"40\n21\n0\n165\n160\n103\n137\n139\n0",
"40\n14\n5\n165\n213\n219\n4\n5\n0",
"40\n38\n5\n98\n120\n133\n194\n139\n0",
"40\n14\n10\n55\n120\n199\n61\n150\n0",
"40\n14\n13\n70\n120\n55\n195\n150\n0",
"40\n14\n5\n20\n72\n158\n106\n207\n0",
"40\n14\n9\n29\n41\n133\n160\n112\n0",
"40\n14\n4\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n20\n17\n133\n106\n241\n0",
"40\n26\n9\n20\n79\n62\n77\n241\n0",
"40\n38\n3\n98\n120\n133\n194\n139\n0",
"40\n14\n10\n55\n120\n269\n61\n150\n0",
"40\n7\n13\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n29\n41\n133\n261\n112\n0",
"40\n14\n5\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n20\n23\n133\n106\n241\n0",
"40\n26\n9\n20\n79\n59\n77\n241\n0",
"40\n14\n10\n55\n120\n269\n61\n291\n0",
"40\n7\n19\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n29\n41\n82\n261\n112\n0",
"40\n22\n5\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n0\n23\n133\n106\n241\n0",
"40\n26\n9\n20\n18\n59\n77\n241\n0",
"40\n72\n3\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n120\n269\n61\n291\n0",
"40\n14\n19\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n32\n41\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n9\n266\n0",
"40\n26\n9\n20\n18\n59\n110\n241\n0",
"40\n72\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n120\n269\n61\n404\n0",
"40\n14\n19\n70\n141\n55\n195\n150\n0",
"40\n14\n9\n32\n78\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n3\n266\n0",
"40\n9\n7\n1\n23\n133\n104\n241\n0",
"40\n26\n9\n20\n18\n13\n110\n241\n0",
"40\n85\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n51\n269\n61\n404\n0",
"40\n14\n9\n11\n78\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n3\n332\n0",
"40\n0\n7\n1\n23\n133\n104\n241\n0",
"40\n26\n9\n20\n9\n13\n110\n241\n0",
"40\n5\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n51\n269\n61\n571\n0",
"40\n14\n19\n36\n141\n103\n195\n150\n0",
"40\n14\n9\n11\n59\n82\n261\n112\n0",
"40\n9\n1\n29\n79\n133\n3\n332\n0",
"40\n12\n0\n32\n213\n219\n4\n1\n-2",
"40\n5\n1\n98\n185\n133\n194\n59\n0",
"40\n20\n10\n85\n51\n269\n61\n571\n0",
"40\n14\n19\n36\n141\n103\n195\n20\n0",
"40\n8\n9\n11\n59\n82\n261\n112\n0",
"40\n9\n1\n29\n101\n133\n3\n332\n0",
"40\n5\n0\n98\n185\n133\n194\n59\n0",
"40\n20\n10\n85\n51\n269\n44\n571\n0",
"40\n14\n9\n36\n141\n103\n195\n20\n0"
],
"output": [
"2 6\n2 14\n2 5\n1 1\n1 18\n5 35\n4 4\n3 37",
"2 6\n2 14\n2 5\n1 1\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 2\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n3 15\n4 4\n3 9\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n5 35\n5 35\n3 37\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n4 31\n4 4\n2 5\n",
"2 6\n4 23\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n1 10\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 19\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n4 4\n2 21\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 24\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 25\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 32\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n4 4\n3 9\n",
"2 6\n2 14\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n5 15\n4 4\n2 5\n",
"2 6\n3 10\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n4 19\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 31\n3 27\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n2 21\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 31\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 24\n4 7\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 9\n3 9\n",
"2 6\n3 9\n3 9\n1 20\n4 32\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n3 31\n3 9\n",
"2 6\n2 14\n2 5\n1 1\n4 9\n5 15\n4 4\n2 5\n",
"2 6\n4 4\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 29\n3 27\n3 14\n",
"2 6\n2 11\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 22\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n3 24\n4 7\n",
"2 6\n2 14\n1 4\n4 29\n4 11\n4 31\n3 9\n3 9\n",
"2 6\n3 9\n3 9\n1 20\n5 17\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n3 9\n3 9\n",
"2 6\n2 21\n",
"2 6\n2 14\n2 5\n1 1\n4 9\n5 15\n1 4\n2 5\n",
"2 6\n4 4\n2 5\n3 30\n1 18\n4 31\n4 24\n3 37\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n4 29\n3 27\n3 14\n",
"2 6\n2 14\n4 13\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n2 5\n1 20\n4 4\n4 22\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n3 24\n2 10\n",
"2 6\n2 14\n1 4\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n1 20\n5 17\n4 31\n4 4\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n4 11\n4 28\n3 9\n3 9\n",
"2 6\n4 4\n3 3\n3 30\n1 18\n4 31\n4 24\n3 37\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n3 31\n3 27\n3 14\n",
"2 6\n4 7\n4 13\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n4 23\n2 10\n",
"2 6\n2 14\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n1 20\n4 23\n4 31\n4 4\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n4 11\n3 25\n3 9\n3 9\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n3 31\n3 27\n3 19\n",
"2 6\n4 7\n4 19\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n5 14\n4 23\n2 10\n",
"2 6\n3 22\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n3 25\n3 9\n3 9\n",
"2 6\n4 4\n3 3\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n1 18\n3 31\n3 27\n3 19\n",
"2 6\n2 14\n4 19\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 32\n3 7\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n3 25\n4 8\n3 9\n",
"2 6\n4 4\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n1 18\n3 31\n3 27\n3 8\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 32\n4 10\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 3\n4 28\n",
"2 6\n3 9\n4 7\n1 1\n4 23\n4 31\n2 36\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n4 13\n4 8\n3 9\n",
"2 6\n2 17\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n4 17\n3 31\n3 27\n3 8\n",
"2 6\n2 14\n3 9\n2 11\n4 10\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 3\n3 4\n",
"2 6\n",
"2 6\n4 26\n3 9\n1 20\n3 9\n4 13\n4 8\n3 9\n",
"2 6\n2 5\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n4 17\n3 31\n3 27\n3 11\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n5 35\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n2 11\n3 25\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n1 1\n4 29\n4 11\n4 31\n3 3\n3 4\n",
"2 6\n3 12\n",
"2 6\n2 5\n1 1\n3 30\n2 15\n4 31\n4 24\n3 25\n",
"2 6\n1 20\n1 10\n2 17\n4 17\n3 31\n3 27\n3 11\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n5 35\n3 25\n1 20\n",
"2 6\n2 8\n3 9\n2 11\n3 25\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n1 1\n4 29\n3 33\n4 31\n3 3\n3 4\n",
"2 6\n2 5\n",
"2 6\n1 20\n1 10\n2 17\n4 17\n3 31\n3 10\n3 11\n",
"2 6\n2 14\n3 9\n2 2\n3 5\n5 35\n3 25\n1 20\n"
]
} | 6AIZU
|
p00748 Pollock's conjecture_1442 | The nth triangular number is defined as the sum of the first n positive integers. The nth tetrahedral number is defined as the sum of the first n triangular numbers. It is easy to show that the nth tetrahedral number is equal to n(n+1)(n+2) ⁄ 6. For example, the 5th tetrahedral number is 1+(1+2)+(1+2+3)+(1+2+3+4)+(1+2+3+4+5) = 5×6×7 ⁄ 6 = 35.
The first 5 triangular numbers 1, 3, 6, 10, 15
Tr\[1\] Tr\[2\] Tr\[3\] Tr\[4\] Tr\[5\]
The first 5 tetrahedral numbers 1, 4, 10, 20, 35
Tet\[1\] Tet\[2\] Tet\[3\] Tet\[4\] Tet\[5\]
In 1850, Sir Frederick Pollock, 1st Baronet, who was not a professional mathematician but a British lawyer and Tory (currently known as Conservative) politician, conjectured that every positive integer can be represented as the sum of at most five tetrahedral numbers. Here, a tetrahedral number may occur in the sum more than once and, in such a case, each occurrence is counted separately. The conjecture has been open for more than one and a half century.
Your mission is to write a program to verify Pollock's conjecture for individual integers. Your program should make a calculation of the least number of tetrahedral numbers to represent each input integer as their sum. In addition, for some unknown reason, your program should make a similar calculation with only odd tetrahedral numbers available.
For example, one can represent 40 as the sum of 2 tetrahedral numbers, 4×5×6 ⁄ 6 + 4×5×6 ⁄ 6, but 40 itself is not a tetrahedral number. One can represent 40 as the sum of 6 odd tetrahedral numbers, 5×6×7 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6, but cannot represent as the sum of fewer odd tetrahedral numbers. Thus, your program should report 2 and 6 if 40 is given.
Input
The input is a sequence of lines each of which contains a single positive integer less than 106. The end of the input is indicated by a line containing a single zero.
Output
For each input positive integer, output a line containing two integers separated by a space. The first integer should be the least number of tetrahedral numbers to represent the input integer as their sum. The second integer should be the least number of odd tetrahedral numbers to represent the input integer as their sum. No extra characters should appear in the output.
Sample Input
40
14
5
165
120
103
106
139
0
Output for the Sample Input
2 6
2 14
2 5
1 1
1 18
5 35
4 4
3 37
Example
Input
40
14
5
165
120
103
106
139
0
Output
2 6
2 14
2 5
1 1
1 18
5 35
4 4
3 37 | def main():
INIT = 100
query = []
ans = []
while True:
q = int(input())
if q == 0:
break
query.append(q)
MAX = max(query)
table = [INIT] * (MAX + 1)
table[0] = 0
all_item = [i * (i + 1) * (i + 2) // 6 for i in range(1, 181)]
odd_item = [i for i in all_item if i % 2]
eve_item = [i for i in all_item if not i % 2]
for v in odd_item:
for j in range(v, MAX + 1):
tjv = table[j - v]
if table[j] > tjv + 1:
table[j] = tjv + 1
for q in query:
ans.append(table[q])
for v in eve_item:
for j in range(v, MAX + 1):
tjv = table[j - v]
if tjv < 5 and table[j] > tjv + 1:
table[j] = tjv + 1
for i, q in enumerate(query):
print(table[q], ans[i])
main()
| 3Python3
| {
"input": [
"40\n14\n5\n165\n120\n103\n106\n139\n0",
"40\n14\n5\n165\n120\n133\n106\n139\n0",
"40\n14\n5\n98\n120\n133\n106\n139\n0",
"40\n14\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n70\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n49\n106\n241\n0",
"40\n14\n5\n165\n120\n103\n137\n139\n0",
"40\n14\n5\n165\n120\n133\n106\n5\n0",
"40\n23\n5\n98\n120\n133\n106\n139\n0",
"40\n10\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n55\n120\n133\n106\n150\n0",
"40\n14\n9\n121\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n72\n55\n106\n150\n0",
"40\n14\n5\n29\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n160\n150\n0",
"40\n14\n9\n29\n79\n133\n25\n241\n0",
"40\n14\n9\n20\n32\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n106\n241\n0",
"40\n14\n0\n165\n120\n103\n137\n139\n0",
"40\n14\n5\n165\n120\n219\n106\n5\n0",
"40\n44\n5\n98\n120\n133\n106\n139\n0",
"40\n19\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n55\n120\n133\n61\n150\n0",
"40\n14\n9\n70\n120\n55\n106\n150\n0",
"40\n14\n5\n29\n72\n133\n106\n207\n0",
"40\n14\n9\n29\n79\n133\n160\n171\n0",
"40\n14\n9\n29\n79\n133\n9\n241\n0",
"40\n9\n9\n20\n32\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n65\n241\n0",
"40\n14\n5\n165\n213\n219\n106\n5\n0",
"40\n38\n5\n98\n120\n133\n106\n139\n0",
"40\n14\n5\n55\n120\n199\n61\n150\n0",
"40\n11\n0\n121\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n120\n55\n195\n150\n0",
"40\n14\n5\n29\n72\n158\n106\n207\n0",
"40\n14\n9\n29\n41\n133\n160\n171\n0",
"40\n14\n4\n29\n79\n133\n9\n241\n0",
"40\n9\n9\n20\n17\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n77\n241\n0",
"40\n21\n0\n165\n160\n103\n137\n139\n0",
"40\n14\n5\n165\n213\n219\n4\n5\n0",
"40\n38\n5\n98\n120\n133\n194\n139\n0",
"40\n14\n10\n55\n120\n199\n61\n150\n0",
"40\n14\n13\n70\n120\n55\n195\n150\n0",
"40\n14\n5\n20\n72\n158\n106\n207\n0",
"40\n14\n9\n29\n41\n133\n160\n112\n0",
"40\n14\n4\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n20\n17\n133\n106\n241\n0",
"40\n26\n9\n20\n79\n62\n77\n241\n0",
"40\n38\n3\n98\n120\n133\n194\n139\n0",
"40\n14\n10\n55\n120\n269\n61\n150\n0",
"40\n7\n13\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n29\n41\n133\n261\n112\n0",
"40\n14\n5\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n20\n23\n133\n106\n241\n0",
"40\n26\n9\n20\n79\n59\n77\n241\n0",
"40\n14\n10\n55\n120\n269\n61\n291\n0",
"40\n7\n19\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n29\n41\n82\n261\n112\n0",
"40\n22\n5\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n0\n23\n133\n106\n241\n0",
"40\n26\n9\n20\n18\n59\n77\n241\n0",
"40\n72\n3\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n120\n269\n61\n291\n0",
"40\n14\n19\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n32\n41\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n9\n266\n0",
"40\n26\n9\n20\n18\n59\n110\n241\n0",
"40\n72\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n120\n269\n61\n404\n0",
"40\n14\n19\n70\n141\n55\n195\n150\n0",
"40\n14\n9\n32\n78\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n3\n266\n0",
"40\n9\n7\n1\n23\n133\n104\n241\n0",
"40\n26\n9\n20\n18\n13\n110\n241\n0",
"40\n85\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n51\n269\n61\n404\n0",
"40\n14\n9\n11\n78\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n3\n332\n0",
"40\n0\n7\n1\n23\n133\n104\n241\n0",
"40\n26\n9\n20\n9\n13\n110\n241\n0",
"40\n5\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n51\n269\n61\n571\n0",
"40\n14\n19\n36\n141\n103\n195\n150\n0",
"40\n14\n9\n11\n59\n82\n261\n112\n0",
"40\n9\n1\n29\n79\n133\n3\n332\n0",
"40\n12\n0\n32\n213\n219\n4\n1\n-2",
"40\n5\n1\n98\n185\n133\n194\n59\n0",
"40\n20\n10\n85\n51\n269\n61\n571\n0",
"40\n14\n19\n36\n141\n103\n195\n20\n0",
"40\n8\n9\n11\n59\n82\n261\n112\n0",
"40\n9\n1\n29\n101\n133\n3\n332\n0",
"40\n5\n0\n98\n185\n133\n194\n59\n0",
"40\n20\n10\n85\n51\n269\n44\n571\n0",
"40\n14\n9\n36\n141\n103\n195\n20\n0"
],
"output": [
"2 6\n2 14\n2 5\n1 1\n1 18\n5 35\n4 4\n3 37",
"2 6\n2 14\n2 5\n1 1\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 2\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n3 15\n4 4\n3 9\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n5 35\n5 35\n3 37\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n4 31\n4 4\n2 5\n",
"2 6\n4 23\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n1 10\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 19\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n4 4\n2 21\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 24\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 25\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 32\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n4 4\n3 9\n",
"2 6\n2 14\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n5 15\n4 4\n2 5\n",
"2 6\n3 10\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n4 19\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 31\n3 27\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n2 21\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 31\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 24\n4 7\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 9\n3 9\n",
"2 6\n3 9\n3 9\n1 20\n4 32\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n3 31\n3 9\n",
"2 6\n2 14\n2 5\n1 1\n4 9\n5 15\n4 4\n2 5\n",
"2 6\n4 4\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 29\n3 27\n3 14\n",
"2 6\n2 11\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 22\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n3 24\n4 7\n",
"2 6\n2 14\n1 4\n4 29\n4 11\n4 31\n3 9\n3 9\n",
"2 6\n3 9\n3 9\n1 20\n5 17\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n3 9\n3 9\n",
"2 6\n2 21\n",
"2 6\n2 14\n2 5\n1 1\n4 9\n5 15\n1 4\n2 5\n",
"2 6\n4 4\n2 5\n3 30\n1 18\n4 31\n4 24\n3 37\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n4 29\n3 27\n3 14\n",
"2 6\n2 14\n4 13\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n2 5\n1 20\n4 4\n4 22\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n3 24\n2 10\n",
"2 6\n2 14\n1 4\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n1 20\n5 17\n4 31\n4 4\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n4 11\n4 28\n3 9\n3 9\n",
"2 6\n4 4\n3 3\n3 30\n1 18\n4 31\n4 24\n3 37\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n3 31\n3 27\n3 14\n",
"2 6\n4 7\n4 13\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n4 23\n2 10\n",
"2 6\n2 14\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n1 20\n4 23\n4 31\n4 4\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n4 11\n3 25\n3 9\n3 9\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n3 31\n3 27\n3 19\n",
"2 6\n4 7\n4 19\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n5 14\n4 23\n2 10\n",
"2 6\n3 22\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n3 25\n3 9\n3 9\n",
"2 6\n4 4\n3 3\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n1 18\n3 31\n3 27\n3 19\n",
"2 6\n2 14\n4 19\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 32\n3 7\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n3 25\n4 8\n3 9\n",
"2 6\n4 4\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n1 18\n3 31\n3 27\n3 8\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 32\n4 10\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 3\n4 28\n",
"2 6\n3 9\n4 7\n1 1\n4 23\n4 31\n2 36\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n4 13\n4 8\n3 9\n",
"2 6\n2 17\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n4 17\n3 31\n3 27\n3 8\n",
"2 6\n2 14\n3 9\n2 11\n4 10\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 3\n3 4\n",
"2 6\n",
"2 6\n4 26\n3 9\n1 20\n3 9\n4 13\n4 8\n3 9\n",
"2 6\n2 5\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n4 17\n3 31\n3 27\n3 11\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n5 35\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n2 11\n3 25\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n1 1\n4 29\n4 11\n4 31\n3 3\n3 4\n",
"2 6\n3 12\n",
"2 6\n2 5\n1 1\n3 30\n2 15\n4 31\n4 24\n3 25\n",
"2 6\n1 20\n1 10\n2 17\n4 17\n3 31\n3 27\n3 11\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n5 35\n3 25\n1 20\n",
"2 6\n2 8\n3 9\n2 11\n3 25\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n1 1\n4 29\n3 33\n4 31\n3 3\n3 4\n",
"2 6\n2 5\n",
"2 6\n1 20\n1 10\n2 17\n4 17\n3 31\n3 10\n3 11\n",
"2 6\n2 14\n3 9\n2 2\n3 5\n5 35\n3 25\n1 20\n"
]
} | 6AIZU
|
p00748 Pollock's conjecture_1443 | The nth triangular number is defined as the sum of the first n positive integers. The nth tetrahedral number is defined as the sum of the first n triangular numbers. It is easy to show that the nth tetrahedral number is equal to n(n+1)(n+2) ⁄ 6. For example, the 5th tetrahedral number is 1+(1+2)+(1+2+3)+(1+2+3+4)+(1+2+3+4+5) = 5×6×7 ⁄ 6 = 35.
The first 5 triangular numbers 1, 3, 6, 10, 15
Tr\[1\] Tr\[2\] Tr\[3\] Tr\[4\] Tr\[5\]
The first 5 tetrahedral numbers 1, 4, 10, 20, 35
Tet\[1\] Tet\[2\] Tet\[3\] Tet\[4\] Tet\[5\]
In 1850, Sir Frederick Pollock, 1st Baronet, who was not a professional mathematician but a British lawyer and Tory (currently known as Conservative) politician, conjectured that every positive integer can be represented as the sum of at most five tetrahedral numbers. Here, a tetrahedral number may occur in the sum more than once and, in such a case, each occurrence is counted separately. The conjecture has been open for more than one and a half century.
Your mission is to write a program to verify Pollock's conjecture for individual integers. Your program should make a calculation of the least number of tetrahedral numbers to represent each input integer as their sum. In addition, for some unknown reason, your program should make a similar calculation with only odd tetrahedral numbers available.
For example, one can represent 40 as the sum of 2 tetrahedral numbers, 4×5×6 ⁄ 6 + 4×5×6 ⁄ 6, but 40 itself is not a tetrahedral number. One can represent 40 as the sum of 6 odd tetrahedral numbers, 5×6×7 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6 + 1×2×3 ⁄ 6, but cannot represent as the sum of fewer odd tetrahedral numbers. Thus, your program should report 2 and 6 if 40 is given.
Input
The input is a sequence of lines each of which contains a single positive integer less than 106. The end of the input is indicated by a line containing a single zero.
Output
For each input positive integer, output a line containing two integers separated by a space. The first integer should be the least number of tetrahedral numbers to represent the input integer as their sum. The second integer should be the least number of odd tetrahedral numbers to represent the input integer as their sum. No extra characters should appear in the output.
Sample Input
40
14
5
165
120
103
106
139
0
Output for the Sample Input
2 6
2 14
2 5
1 1
1 18
5 35
4 4
3 37
Example
Input
40
14
5
165
120
103
106
139
0
Output
2 6
2 14
2 5
1 1
1 18
5 35
4 4
3 37 | import java.util.Arrays;
import java.util.Scanner;
public class Main {
static int[] simen=new int[1000];
static int[] kisu_simen=new int[48];
static int INF=1000000007;
public static void main(String[] args) {
for(int i=0; i<200; i++) {
int tmp=(i+1)*(i+2)*(i+3)/6;
for(int j=0; j<5; j++) {
simen[i*5+j]=tmp;
}
}
int num=0;
int counter=0;
while(true) {
if(counter>=47) {
break;
}
else {
if(num*(num+1)*(num+2)/6%2==1) {
kisu_simen[counter]=num*(num+1)*(num+2)/6;
counter++;
}
}
num++;
}
int[] pollock=new int[1000002];
int[] pollock_k=new int[1000002];
Arrays.fill(pollock,INF);
Arrays.fill(pollock_k,INF);
pollock[0]=0;
pollock_k[0]=0;
int sum=0;
for(int i=0; i<1000; i++) {
for(int j=0; j<=Math.min(sum,1000001); j++) {
if(pollock[j]<INF) {
if(j+simen[i]<=1000000) {
pollock[j+simen[i]]=Math.min(pollock[j+simen[i]], pollock[j]+1);
}
}
}
sum+=simen[i];
}
for(int i=0; i<48; i++) {
for(int j=0; j<=1000000; j++) {
if(j-kisu_simen[i]>=0) {
pollock_k[j]=Math.min(pollock_k[j], pollock_k[j-kisu_simen[i]]+1);
}
}
}
Scanner sc = new Scanner(System.in);
while(true) {
int input=sc.nextInt();
if(input==0) {
System.exit(0);
}
else {
System.out.println(pollock[input]+" "+pollock_k[input]);
}
}
}
}
| 4JAVA
| {
"input": [
"40\n14\n5\n165\n120\n103\n106\n139\n0",
"40\n14\n5\n165\n120\n133\n106\n139\n0",
"40\n14\n5\n98\n120\n133\n106\n139\n0",
"40\n14\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n70\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n49\n106\n241\n0",
"40\n14\n5\n165\n120\n103\n137\n139\n0",
"40\n14\n5\n165\n120\n133\n106\n5\n0",
"40\n23\n5\n98\n120\n133\n106\n139\n0",
"40\n10\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n55\n120\n133\n106\n150\n0",
"40\n14\n9\n121\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n72\n55\n106\n150\n0",
"40\n14\n5\n29\n72\n133\n106\n150\n0",
"40\n14\n9\n29\n79\n133\n160\n150\n0",
"40\n14\n9\n29\n79\n133\n25\n241\n0",
"40\n14\n9\n20\n32\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n106\n241\n0",
"40\n14\n0\n165\n120\n103\n137\n139\n0",
"40\n14\n5\n165\n120\n219\n106\n5\n0",
"40\n44\n5\n98\n120\n133\n106\n139\n0",
"40\n19\n5\n98\n120\n133\n106\n150\n0",
"40\n14\n5\n55\n120\n133\n61\n150\n0",
"40\n14\n9\n70\n120\n55\n106\n150\n0",
"40\n14\n5\n29\n72\n133\n106\n207\n0",
"40\n14\n9\n29\n79\n133\n160\n171\n0",
"40\n14\n9\n29\n79\n133\n9\n241\n0",
"40\n9\n9\n20\n32\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n65\n241\n0",
"40\n14\n5\n165\n213\n219\n106\n5\n0",
"40\n38\n5\n98\n120\n133\n106\n139\n0",
"40\n14\n5\n55\n120\n199\n61\n150\n0",
"40\n11\n0\n121\n120\n133\n106\n150\n0",
"40\n14\n9\n70\n120\n55\n195\n150\n0",
"40\n14\n5\n29\n72\n158\n106\n207\n0",
"40\n14\n9\n29\n41\n133\n160\n171\n0",
"40\n14\n4\n29\n79\n133\n9\n241\n0",
"40\n9\n9\n20\n17\n133\n106\n241\n0",
"40\n14\n9\n20\n79\n62\n77\n241\n0",
"40\n21\n0\n165\n160\n103\n137\n139\n0",
"40\n14\n5\n165\n213\n219\n4\n5\n0",
"40\n38\n5\n98\n120\n133\n194\n139\n0",
"40\n14\n10\n55\n120\n199\n61\n150\n0",
"40\n14\n13\n70\n120\n55\n195\n150\n0",
"40\n14\n5\n20\n72\n158\n106\n207\n0",
"40\n14\n9\n29\n41\n133\n160\n112\n0",
"40\n14\n4\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n20\n17\n133\n106\n241\n0",
"40\n26\n9\n20\n79\n62\n77\n241\n0",
"40\n38\n3\n98\n120\n133\n194\n139\n0",
"40\n14\n10\n55\n120\n269\n61\n150\n0",
"40\n7\n13\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n29\n41\n133\n261\n112\n0",
"40\n14\n5\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n20\n23\n133\n106\n241\n0",
"40\n26\n9\n20\n79\n59\n77\n241\n0",
"40\n14\n10\n55\n120\n269\n61\n291\n0",
"40\n7\n19\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n29\n41\n82\n261\n112\n0",
"40\n22\n5\n29\n79\n133\n9\n266\n0",
"40\n9\n7\n0\n23\n133\n106\n241\n0",
"40\n26\n9\n20\n18\n59\n77\n241\n0",
"40\n72\n3\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n120\n269\n61\n291\n0",
"40\n14\n19\n70\n120\n55\n195\n150\n0",
"40\n14\n9\n32\n41\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n9\n266\n0",
"40\n26\n9\n20\n18\n59\n110\n241\n0",
"40\n72\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n120\n269\n61\n404\n0",
"40\n14\n19\n70\n141\n55\n195\n150\n0",
"40\n14\n9\n32\n78\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n3\n266\n0",
"40\n9\n7\n1\n23\n133\n104\n241\n0",
"40\n26\n9\n20\n18\n13\n110\n241\n0",
"40\n85\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n51\n269\n61\n404\n0",
"40\n14\n9\n11\n78\n82\n261\n112\n0",
"40\n9\n5\n29\n79\n133\n3\n332\n0",
"40\n0\n7\n1\n23\n133\n104\n241\n0",
"40\n26\n9\n20\n9\n13\n110\n241\n0",
"40\n5\n1\n98\n185\n133\n194\n139\n0",
"40\n20\n10\n55\n51\n269\n61\n571\n0",
"40\n14\n19\n36\n141\n103\n195\n150\n0",
"40\n14\n9\n11\n59\n82\n261\n112\n0",
"40\n9\n1\n29\n79\n133\n3\n332\n0",
"40\n12\n0\n32\n213\n219\n4\n1\n-2",
"40\n5\n1\n98\n185\n133\n194\n59\n0",
"40\n20\n10\n85\n51\n269\n61\n571\n0",
"40\n14\n19\n36\n141\n103\n195\n20\n0",
"40\n8\n9\n11\n59\n82\n261\n112\n0",
"40\n9\n1\n29\n101\n133\n3\n332\n0",
"40\n5\n0\n98\n185\n133\n194\n59\n0",
"40\n20\n10\n85\n51\n269\n44\n571\n0",
"40\n14\n9\n36\n141\n103\n195\n20\n0"
],
"output": [
"2 6\n2 14\n2 5\n1 1\n1 18\n5 35\n4 4\n3 37",
"2 6\n2 14\n2 5\n1 1\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 2\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n3 15\n4 4\n3 9\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n5 35\n5 35\n3 37\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n4 31\n4 4\n2 5\n",
"2 6\n4 23\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n1 10\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 19\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n4 4\n2 21\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 24\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 25\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 32\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n4 4\n3 9\n",
"2 6\n2 14\n",
"2 6\n2 14\n2 5\n1 1\n1 18\n5 15\n4 4\n2 5\n",
"2 6\n3 10\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n4 19\n2 5\n3 30\n1 18\n4 31\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 31\n3 27\n3 14\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n2 21\n4 4\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 31\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 24\n4 7\n",
"2 6\n2 14\n3 9\n4 29\n4 11\n4 31\n3 9\n3 9\n",
"2 6\n3 9\n3 9\n1 20\n4 32\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n3 31\n3 9\n",
"2 6\n2 14\n2 5\n1 1\n4 9\n5 15\n4 4\n2 5\n",
"2 6\n4 4\n2 5\n3 30\n1 18\n4 31\n4 4\n3 37\n",
"2 6\n2 14\n2 5\n2 21\n1 18\n4 29\n3 27\n3 14\n",
"2 6\n2 11\n",
"2 6\n2 14\n3 9\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n2 5\n4 29\n4 4\n4 22\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n3 24\n4 7\n",
"2 6\n2 14\n1 4\n4 29\n4 11\n4 31\n3 9\n3 9\n",
"2 6\n3 9\n3 9\n1 20\n5 17\n4 31\n4 4\n3 9\n",
"2 6\n2 14\n3 9\n1 20\n4 11\n4 28\n3 9\n3 9\n",
"2 6\n2 21\n",
"2 6\n2 14\n2 5\n1 1\n4 9\n5 15\n1 4\n2 5\n",
"2 6\n4 4\n2 5\n3 30\n1 18\n4 31\n4 24\n3 37\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n4 29\n3 27\n3 14\n",
"2 6\n2 14\n4 13\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n2 5\n1 20\n4 4\n4 22\n4 4\n4 9\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n3 24\n2 10\n",
"2 6\n2 14\n1 4\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n1 20\n5 17\n4 31\n4 4\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n4 11\n4 28\n3 9\n3 9\n",
"2 6\n4 4\n3 3\n3 30\n1 18\n4 31\n4 24\n3 37\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n3 31\n3 27\n3 14\n",
"2 6\n4 7\n4 13\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n4 31\n4 23\n2 10\n",
"2 6\n2 14\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n1 20\n4 23\n4 31\n4 4\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n4 11\n3 25\n3 9\n3 9\n",
"2 6\n2 14\n1 10\n2 21\n1 18\n3 31\n3 27\n3 19\n",
"2 6\n4 7\n4 19\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 29\n3 7\n5 14\n4 23\n2 10\n",
"2 6\n3 22\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n3 9\n4 7\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n3 25\n3 9\n3 9\n",
"2 6\n4 4\n3 3\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n1 18\n3 31\n3 27\n3 19\n",
"2 6\n2 14\n4 19\n2 2\n1 18\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 32\n3 7\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 9\n4 28\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n3 25\n4 8\n3 9\n",
"2 6\n4 4\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n1 18\n3 31\n3 27\n3 8\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n2 21\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n4 32\n4 10\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 3\n4 28\n",
"2 6\n3 9\n4 7\n1 1\n4 23\n4 31\n2 36\n3 9\n",
"2 6\n4 26\n3 9\n1 20\n3 18\n4 13\n4 8\n3 9\n",
"2 6\n2 17\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n4 17\n3 31\n3 27\n3 8\n",
"2 6\n2 14\n3 9\n2 11\n4 10\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n2 5\n4 29\n4 11\n4 31\n3 3\n3 4\n",
"2 6\n",
"2 6\n4 26\n3 9\n1 20\n3 9\n4 13\n4 8\n3 9\n",
"2 6\n2 5\n1 1\n3 30\n2 15\n4 31\n4 24\n3 37\n",
"2 6\n1 20\n1 10\n2 21\n4 17\n3 31\n3 27\n3 11\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n5 35\n3 25\n3 14\n",
"2 6\n2 14\n3 9\n2 11\n3 25\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n1 1\n4 29\n4 11\n4 31\n3 3\n3 4\n",
"2 6\n3 12\n",
"2 6\n2 5\n1 1\n3 30\n2 15\n4 31\n4 24\n3 25\n",
"2 6\n1 20\n1 10\n2 17\n4 17\n3 31\n3 27\n3 11\n",
"2 6\n2 14\n4 19\n2 2\n3 5\n5 35\n3 25\n1 20\n",
"2 6\n2 8\n3 9\n2 11\n3 25\n5 14\n4 23\n2 10\n",
"2 6\n3 9\n1 1\n4 29\n3 33\n4 31\n3 3\n3 4\n",
"2 6\n2 5\n",
"2 6\n1 20\n1 10\n2 17\n4 17\n3 31\n3 10\n3 11\n",
"2 6\n2 14\n3 9\n2 2\n3 5\n5 35\n3 25\n1 20\n"
]
} | 6AIZU
|
p00886 Towns along a Highway_1444 | There are several towns on a highway. The highway has no forks. Given the distances between the neighboring towns, we can calculate all distances from any town to others. For example, given five towns (A, B, C, D and E) and the distances between neighboring towns like in Figure C.1, we can calculate the distance matrix as an upper triangular matrix containing the distances between all pairs of the towns, as shown in Figure C.2.
<image>
Figure C.1: An example of towns
<image>
Figure C.2: The distance matrix for Figure C.1
In this problem, you must solve the inverse problem. You know only the distances between all pairs of the towns, that is, N(N - 1)/2 numbers in the above matrix. Then, you should recover the order of the towns and the distances from each town to the next.
Input
The input is a sequence of datasets. Each dataset is formatted as follows.
N
d1 d2 ... dN(N-1)/2
The first line contains an integer N (2 ≤ N ≤ 20), which is the number of the towns on the highway. The following lines contain N(N-1)/2 integers separated by a single space or a newline, which are the distances between all pairs of the towns. Numbers are given in descending order without any information where they appear in the matrix. You can assume that each distance is between 1 and 400, inclusive. Notice that the longest distance is the distance from the leftmost town to the rightmost.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, output N - 1 integers in a line, each of which is the distance from a town to the next in the order of the towns. Numbers in a line must be separated by a single space. If the answer is not unique, output multiple lines ordered by the lexicographical order as a sequence of integers, each of which corresponds to an answer. For example, '2 10' should precede '10 2'. If no answer exists, output nothing. At the end of the output for each dataset, a line containing five minus symbols '-----' should be printed for human readability. No extra characters should occur in the output. For example, extra spaces at the end of a line are not allowed.
Example
Input
2
1
3
5 3 2
3
6 3 2
5
9 8 7 6 6 4 3 2 2 1
6
9 8 8 7 6 6 5 5 3 3 3 2 2 1 1
6
11 10 9 8 7 6 6 5 5 4 3 2 2 1 1
7
72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7
20
190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171
170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151
150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131
130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111
110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91
90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71
70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51
50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11
10 9 8 7 6 5 4 3 2 1
19
60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40
40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31
30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22
22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19
18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12
12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4
4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1
0
Output
1
-----
2 3
3 2
-----
-----
1 2 4 2
2 4 2 1
-----
1 2 3 2 1
-----
1 1 4 2 3
1 5 1 2 2
2 2 1 5 1
3 2 4 1 1
-----
7 14 11 13 10 17
17 10 13 11 14 7
-----
-----
1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8
8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1
----- | #include<stdio.h>
#include<algorithm>
#include<vector>
#include<set>
using namespace std;
int d[310];
int c[510];
int v[310];
int at[30];
int n;
int tmp[30];
int sz;
set<vector<int> >S;
inline int ABS(int a){return max(a,-a);}
void solve(int a,int b){
if(a==n){
for(int i=0;i<n;i++)tmp[i]=at[i];
std::sort(tmp,tmp+n);
vector<int>val;
for(int i=0;i<n;i++)val.push_back(tmp[i]);
if(S.count(val))return;
S.insert(val);
for(int i=0;i<n-1;i++){
if(i){
printf(" ");
printf("%d",tmp[i+1]-tmp[i]);
}else printf("%d",tmp[1]);
}
printf("\n");
return ;
}
for(int i=b;i>0;i--){
if(!c[i])continue;
for(int j=0;j<a;j++){
if(at[j]-i>0){
bool ok=true;
//c[i]--;
int t=at[j]-i;
for(int k=0;k<a;k++){
if(!c[ABS(t-at[k])])ok=false;
c[ABS(t-at[k])]--;
}
if(ok){
at[a]=t;
solve(a+1,i);
}
//c[i]++;
for(int k=0;k<a;k++)c[ABS(t-at[k])]++;
}
if(at[j]+i<d[0]){
bool ok=true;
//c[i]--;
int t=at[j]+i;
for(int k=0;k<a;k++){
if(!c[ABS(t-at[k])])ok=false;
c[ABS(t-at[k])]--;
}
if(ok){
at[a]=t;
solve(a+1,i);
}
//c[i]++;
for(int k=0;k<a;k++)c[ABS(t-at[k])]++;
}
}
break;
}
}
int main(){
int a;
while(scanf("%d",&a),a){
n=a;
S.clear();
sz=n*(n-1)/2;
for(int i=0;i<a*(a-1)/2;i++)scanf("%d",d+i);
for(int i=0;i<510;i++){
c[i]=0;
}
for(int i=0;i<310;i++)v[i]=0;
for(int i=0;i<a*(a-1)/2;i++)c[d[i]]++;
c[d[0]]--;
at[0]=d[0];
at[1]=0;
solve(2,d[0]-1);
printf("-----\n");
}
} | 2C++
| {
"input": [
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
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"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 21 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 26 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 17 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 34 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 5 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 61 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 16 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 10 4 3 2 2 1\n6\n10 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 13 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 0\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 5 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 61 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 17 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 2 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 12 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 11 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 47 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 4 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 2 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 12 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 11 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 25 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 16 12 12 12\n12 12 11 11 11 10 10 20 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 0 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 11 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 1 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 30 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 12 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 0\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 29 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 12 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 8 5 5 4 3 2 2 1 1\n7\n72 65 55 25 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 16 12 12 12\n12 12 11 11 11 10 10 20 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 0 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 2 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 12 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 0 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 11 21 17 14 13 11 10 7\n20\n190 152 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 112 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 7 52 44\n50 49 48 47 46 45 44 43 42 41 40 50 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 18 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 4 2\n5\n9 9 7 6 6 7 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 288 71\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 23 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 4 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 15 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 22 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 9 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 16 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 0 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n18 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 18 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 192 179 5 177 176 175 174 284 172 171\n170 169 310 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 129 140\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 46 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 70 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 13 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 12 6 4 3 2 2 1\n6\n8 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 0\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 10 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 9 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 72 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 15 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 22 16 29 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 18 10 10 10 10 10 9 12 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n7 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n19 13 9 8 7 1 6 5 5 4 3 2 2 0 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 189 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 250 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 11 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 4 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 11 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 5 23 23 1 22 40\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 30 19 19 19\n6 18 18 18 18 17 17 17 17 16 16 16 15 15 29 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 4 8 8 8 8 6 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 6 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 70 183 182 181 180 179 178 177 176 175 174 173 148 171\n170 169 168 167 166 165 164 163 36 161 160 159 133 157 298 155 154 153 152 151\n150 149 148 147 146 145 144 233 142 141 140 139 138 137 136 135 134 179 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 011\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 73 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 69 44\n50 49 48 47 46 45 44 43 42 41 40 39 43 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 29 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 29 24 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 23\n12 15 11 11 10 10 10 8 10 10 9 9 8 8 12 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n7 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n19 13 9 8 7 1 6 5 5 4 3 2 2 0 1\n7\n72 65 55 51 48 45 19 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 189 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 250 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 11 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 4 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 11 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 5 23 23 1 22 40\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 30 19 19 19\n6 18 18 18 18 17 17 17 17 16 16 16 15 15 29 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 4 8 8 8 8 6 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 215 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 70 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 61 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 18 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 8 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 27 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 4 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 4 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 154 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 0 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 36 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 2 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 15 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 47 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 17 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 69 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 4 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 44 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 17 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 2\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 1 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 3 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 284 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 59 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 168 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 53 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 103 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 11 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 45 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 16 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 215 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 136 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 1 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0"
],
"output": [
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n2 4\n4 2\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n3 4\n4 3\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n3 4\n4 3\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n"
]
} | 6AIZU
|
p00886 Towns along a Highway_1445 | There are several towns on a highway. The highway has no forks. Given the distances between the neighboring towns, we can calculate all distances from any town to others. For example, given five towns (A, B, C, D and E) and the distances between neighboring towns like in Figure C.1, we can calculate the distance matrix as an upper triangular matrix containing the distances between all pairs of the towns, as shown in Figure C.2.
<image>
Figure C.1: An example of towns
<image>
Figure C.2: The distance matrix for Figure C.1
In this problem, you must solve the inverse problem. You know only the distances between all pairs of the towns, that is, N(N - 1)/2 numbers in the above matrix. Then, you should recover the order of the towns and the distances from each town to the next.
Input
The input is a sequence of datasets. Each dataset is formatted as follows.
N
d1 d2 ... dN(N-1)/2
The first line contains an integer N (2 ≤ N ≤ 20), which is the number of the towns on the highway. The following lines contain N(N-1)/2 integers separated by a single space or a newline, which are the distances between all pairs of the towns. Numbers are given in descending order without any information where they appear in the matrix. You can assume that each distance is between 1 and 400, inclusive. Notice that the longest distance is the distance from the leftmost town to the rightmost.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, output N - 1 integers in a line, each of which is the distance from a town to the next in the order of the towns. Numbers in a line must be separated by a single space. If the answer is not unique, output multiple lines ordered by the lexicographical order as a sequence of integers, each of which corresponds to an answer. For example, '2 10' should precede '10 2'. If no answer exists, output nothing. At the end of the output for each dataset, a line containing five minus symbols '-----' should be printed for human readability. No extra characters should occur in the output. For example, extra spaces at the end of a line are not allowed.
Example
Input
2
1
3
5 3 2
3
6 3 2
5
9 8 7 6 6 4 3 2 2 1
6
9 8 8 7 6 6 5 5 3 3 3 2 2 1 1
6
11 10 9 8 7 6 6 5 5 4 3 2 2 1 1
7
72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7
20
190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171
170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151
150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131
130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111
110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91
90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71
70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51
50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11
10 9 8 7 6 5 4 3 2 1
19
60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40
40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31
30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22
22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19
18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12
12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4
4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1
0
Output
1
-----
2 3
3 2
-----
-----
1 2 4 2
2 4 2 1
-----
1 2 3 2 1
-----
1 1 4 2 3
1 5 1 2 2
2 2 1 5 1
3 2 4 1 1
-----
7 14 11 13 10 17
17 10 13 11 14 7
-----
-----
1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8
8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1
----- | import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.Scanner;
class Main {
public static void main(String[] args) {
new Main().run();
}
static int N;
static int[] d;
static int[] cnt;
static int[] ans;
static int L;
static ArrayList<int[]> ansLis;
void run() {
Scanner sc = new Scanner(System.in);
while (true) {
N = sc.nextInt();
if (N == 0)
break;
ans = new int[N];
cnt = new int[401];
Arrays.fill(ans, -1);
d = new int[N * (N - 1) / 2];
for (int i = 0; i < d.length; ++i) {
d[i] = sc.nextInt();
++cnt[d[i]];
}
L = d[0];
ans[0] = 0;
ans[N - 1] = L;
--cnt[L];
ansLis = new ArrayList<>();
solve(0, N - 1);
ansLis.sort(new Comparator<int[]>() {
@Override
public int compare(int[] o1, int[] o2) {
for (int i = 0; i < o1.length; ++i) {
if (o1[i] != o2[i])
return Integer.compare(o1[i], o2[i]);
}
return 0;
}
});
for (int i = 0; i + 1 < ansLis.size(); ++i) {
while (i + 1 < ansLis.size() && sameArr(ansLis.get(i), ansLis.get(i + 1))) {
ansLis.remove(i + 1);
}
}
for (int i = 0; i < ansLis.size(); ++i) {
for (int j = 0; j < N - 1; ++j) {
System.out.print(ansLis.get(i)[j]);
System.out.print(j + 1 == N - 1 ? "\n" : " ");
}
}
System.out.println("-----");
}
}
boolean sameArr(int[] arr1, int[] arr2) {
for (int i = 0; i < arr1.length; ++i) {
if (arr1[i] != arr2[i])
return false;
}
return true;
}
void solve(int left, int right) {
if (right - left == 1) {
for (int v : cnt) {
if (v != 0)
return;
}
int[] arr = new int[N - 1];
for (int i = 0; i + 1 < N; ++i) {
arr[i] = ans[i + 1] - ans[i];
}
ansLis.add(arr);
}
for (int i = cnt.length - 1; i >= 0; --i) {
if (cnt[i] == 0)
continue;
boolean f = true;
for (int j = 0; j < ans.length; ++j) {
--cnt[Math.abs(i - ans[j])];
if (cnt[Math.abs(i - ans[j])] < 0) {
f = false;
}
if (j == left)
j = right - 1;
}
ans[right - 1] = i;
if (f) {
solve(left, right - 1);
}
ans[left + 1] = -1;
for (int j = 0; j < ans.length; ++j) {
++cnt[Math.abs(i - ans[j])];
if (j == left)
j = right - 1;
}
f = true;
for (int j = 0; j < ans.length; ++j) {
--cnt[Math.abs(L - i - ans[j])];
if (cnt[Math.abs(L - i - ans[j])] < 0) {
f = false;
}
if (j == left)
j = right - 1;
}
ans[left + 1] = L - i;
if (f) {
solve(left + 1, right);
}
ans[right - 1] = -1;
for (int j = 0; j < ans.length; ++j) {
++cnt[Math.abs(L - i - ans[j])];
if (j == left)
j = right - 1;
}
break;
}
}
void tr(Object... objects) {
System.out.println(Arrays.deepToString(objects));
}
} | 4JAVA
| {
"input": [
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 10 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 26 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 1 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 17 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n2 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 10 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 13 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 21 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 26 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 17 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 34 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 5 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 61 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 16 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 10 4 3 2 2 1\n6\n10 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 13 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 0\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 5 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 61 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 17 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 2 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 12 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 11 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 47 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 4 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 2 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 12 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 11 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 25 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 16 12 12 12\n12 12 11 11 11 10 10 20 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 0 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 11 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 1 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 30 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 12 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 0\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 29 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 12 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 3 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 8 5 5 4 3 2 2 1 1\n7\n72 65 55 25 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 16 12 12 12\n12 12 11 11 11 10 10 20 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 0 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 2 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 12 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 0 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 11 21 17 14 13 11 10 7\n20\n190 152 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 112 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 7 52 44\n50 49 48 47 46 45 44 43 42 41 40 50 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 18 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 4 2\n5\n9 9 7 6 6 7 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 288 71\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 23 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 4 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 15 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 22 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 9 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 16 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 0 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n18 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 18 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 192 179 5 177 176 175 174 284 172 171\n170 169 310 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 129 140\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 46 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 70 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 13 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 12 6 4 3 2 2 1\n6\n8 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 0\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 10 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 9 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 72 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 15 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 22 16 29 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 18 10 10 10 10 10 9 12 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n7 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n19 13 9 8 7 1 6 5 5 4 3 2 2 0 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 189 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 250 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 11 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 4 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 11 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 5 23 23 1 22 40\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 30 19 19 19\n6 18 18 18 18 17 17 17 17 16 16 16 15 15 29 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 4 8 8 8 8 6 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 6 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 70 183 182 181 180 179 178 177 176 175 174 173 148 171\n170 169 168 167 166 165 164 163 36 161 160 159 133 157 298 155 154 153 152 151\n150 149 148 147 146 145 144 233 142 141 140 139 138 137 136 135 134 179 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 011\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 73 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 69 44\n50 49 48 47 46 45 44 43 42 41 40 39 43 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 29 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 29 24 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 23\n12 15 11 11 10 10 10 8 10 10 9 9 8 8 12 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n7 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n19 13 9 8 7 1 6 5 5 4 3 2 2 0 1\n7\n72 65 55 51 48 45 19 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 189 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 250 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 11 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 4 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 11 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 5 23 23 1 22 40\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 30 19 19 19\n6 18 18 18 18 17 17 17 17 16 16 16 15 15 29 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 4 8 8 8 8 6 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 215 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 191 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 70 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 61 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 18 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 8 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 27 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 5 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 4 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 4 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 154 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 0 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 36 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 2 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 137 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 15 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 47 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 17 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 69 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 4 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 44 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 17 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 2\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 1 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 3 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 284 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 59 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 168 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 53 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 103 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 11 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 45 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 156 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 16 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 9 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 1 5 3 3 3 2 2 0 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 38 48 45 40 38 34 7 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 280 183 182 181 180 243 178 177 176 175 174 173 172 95\n170 169 168 167 166 165 164 163 36 161 160 159 69 157 215 155 154 153 152 151\n150 149 148 294 146 145 144 143 142 141 140 139 138 79 136 260 134 133 132 131\n130 129 128 127 126 35 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 50 107 106 105 104 103 102 101 100 99 98 136 96 95 94 93 92 91\n90 3 88 87 86 85 149 83 82 72 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 2 34 33 32 31\n50 29 27 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 23 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 74 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 43 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 10 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 15 16 16 16 15 15 15 15 14 14 2 13 13 12 12 12\n24 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 10 7 7 9 6 6 1 5 5 5 5 5 4\n4 4 3 3 3 3 2 3 2 2 2 2 2 2 1 1 1 2 1 1\n0",
"2\n1\n3\n5 3 2\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 6 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 55 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 23 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0",
"2\n1\n3\n5 3 4\n3\n6 3 2\n5\n9 8 7 6 6 4 3 2 2 1\n6\n9 8 8 7 6 6 5 5 3 3 3 2 2 1 1\n6\n11 10 9 8 7 6 6 5 5 4 3 2 2 1 1\n7\n72 65 55 51 48 45 40 38 34 32 27 25 24 23 21 17 14 13 11 10 7\n20\n190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171\n170 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151\n150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131\n130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111\n110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91\n90 89 88 87 86 85 149 83 82 81 80 79 78 77 76 75 74 73 72 71\n70 69 68 67 66 65 64 63 18 61 60 59 58 57 56 87 54 53 52 44\n50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11\n10 9 8 7 6 5 4 3 2 1\n19\n60 59 58 56 53 52 51 50 48 48 47 46 45 45 44 43 43 42 42 41 41 40 40 40\n40 40 40 40 39 39 39 38 38 38 37 37 36 36 35 35 34 33 33 32 32 32 31 31\n30 30 30 29 28 28 28 28 27 27 26 26 25 25 25 25 24 24 23 23 23 1 22 22\n22 22 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19\n18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12\n12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 4\n4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1\n0"
],
"output": [
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n2 4\n4 2\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n3 4\n4 3\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n3 4\n4 3\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n1 1 2 3 5 8 1 1 2 3 5 8 1 1 2 3 5 8\n8 5 3 2 1 1 8 5 3 2 1 1 8 5 3 2 1 1\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n-----\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n2 3\n3 2\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n-----\n-----\n-----\n",
"1\n-----\n-----\n-----\n1 2 4 2\n2 4 2 1\n-----\n1 2 3 2 1\n-----\n1 1 4 2 3\n1 5 1 2 2\n2 2 1 5 1\n3 2 4 1 1\n-----\n7 14 11 13 10 17\n17 10 13 11 14 7\n-----\n-----\n-----\n"
]
} | 6AIZU
|
p01017 Yu-kun Likes Rectangles_1446 | Background
The kindergarten attached to the University of Aizu is a kindergarten where children who love programming gather. Yu, one of the kindergarten children, loves rectangles as much as programming. Yu-kun decided to write a program to calculate the maximum score that can be obtained, thinking of a new play to get points using three rectangles.
Problem
Given the rectangles A and B of the H × W cells and the rectangle C of the h × w cells. (H and W represent the number of vertical and horizontal squares of rectangles A and B, respectively, and h and w represent the number of vertical and horizontal squares of rectangle C, respectively.)
As shown in Fig. 1, an integer is written in each cell of A, and each cell of B is colored white or black. Each cell in C is also colored white or black.
Figure 1
Figure 1
If there is a rectangle in B that has exactly the same pattern as C, you can get the sum of the integers written in the corresponding squares in A as a score.
For example, when the rectangles A, B, and C as shown in Fig. 1 are used, the same pattern as C is included in B as shown by the red line in Fig. 2, so 193 points can be obtained from that location.
Figure 2
Figure 2
If there is one or more rectangles in B that have exactly the same pattern as C, how many points can be obtained in such rectangles?
However, if there is no rectangle in B that has the same pattern as C, output "NA" (excluding "). Also, the rectangle cannot be rotated or inverted.
Constraints
The input satisfies the following conditions.
* All inputs are integers
* 1 ≤ H, W ≤ 50
* 1 ≤ h ≤ H
* 1 ≤ w ≤ W
* -100 ≤ a (i, j) ≤ 100
* b (i, j), c (i, j) is 0 or 1
Input
The input format is as follows.
H W
a (1,1) a (1,2) ... a (1, W)
a (2,1) a (2,2) ... a (2, W)
::
a (H, 1) a (H, 2) ... a (H, W)
b (1,1) b (1,2) ... b (1, W)
b (2,1) b (2,2) ... b (2, W)
::
b (H, 1) b (H, 2) ... b (H, W)
h w
c (1,1) c (1,2) ... c (1, w)
c (2,1) c (2,2) ... c (2, w)
::
c (h, 1) c (h, 2) ... c (h, w)
a (i, j) is the integer written in the square (i, j) of the rectangle A, b (i, j) is the color of the square (i, j) of the rectangle B, and c (i, j) Represents the color of the square (i, j) of the rectangle C. As for the color of the square, 0 is white and 1 is black.
Output
If there is a place in rectangle B that has exactly the same pattern as rectangle C, output the one with the highest score among such places.
If no such location exists, print “NA” (excluding “).
Examples
Input
4 4
10 2 -1 6
8 1 -100 41
22 47 32 11
-41 99 12 -8
1 0 0 1
0 0 1 0
0 1 0 1
0 0 1 0
2 3
1 0 1
0 1 0
Output
193
Input
3 3
5 1 3
2 5 9
0 1 5
1 0 0
0 1 1
0 1 1
1 1
1
Output
9
Input
3 4
4 1 9 1
9 1 -1 3
2 -4 1 10
1 1 0 1
0 1 1 1
1 1 0 0
1 4
1 1 1 1
Output
NA | #include <iostream>
#include <cstdio>
using namespace std;
#define rep(i,n) for(int i=0;i<n;++i)
#define REP1(i,n) for(int i=1;i<=n;++i)
#define ALL(c) (c).begin(),(c).end()
int a[50][50],b[50][50],c[50][50];
int main(){
int ha,wa,hc,wc;
cin >> ha >> wa;
rep(i,ha) rep(j,wa) cin >> a[i][j];
rep(i,ha) rep(j,wa) cin >> b[i][j];
cin >> hc >> wc;
rep(i,hc) rep(j,wc) cin >> c[i][j];
int ans=-1000000000;
rep(i,ha-hc+1) rep(j,wa-wc+1){
int tmp=0;
bool flag=true;
rep(k,hc){
rep(l,wc){
if(c[k][l]!=b[i+k][j+l]){
flag=false;
break;
}
tmp+=a[i+k][j+l];
}
if(!flag) break;
}
if(flag) ans=max(ans,tmp);
}
if(ans==-1000000000) cout << "NA" << endl;
else cout << ans << endl;
return 0;
}
| 2C++
| {
"input": [
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 1 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 1 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n2 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 9\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 5 13\n0 1 6\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 89 32 11\n-41 99 12 -16\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 11\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 1 2\n0 1 1\n0 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 11\n-5 59 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 54 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n4 1 2\n4 5 1\n1 1 5\n1 -1 0\n-1 1 2\n0 1 1\n1 1\n2",
"3 3\n5 1 3\n4 5 9\n0 1 8\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 0 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 12 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 -1\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 7\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 4 17\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 17\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 5\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n5 4 14\n0 1 5\n0 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 1 4\n0 1 1\n1 1\n0",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 45 12 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 171 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 10 10\n0 1 5\n0 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 4\n3 -1 9 1\n9 2 -1 3\n1 -2 1 2\n1 1 0 1\n0 0 1 1\n1 0 0 -1\n1 4\n1 1 0 1",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 45 16 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 103 11\n-41 171 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 89 56 5\n-5 99 12 -16\n4 -1 0 4\n0 0 2 0\n1 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n15 1 -100 41\n41 47 56 11\n-1 59 12 -20\n4 0 0 2\n0 0 2 0\n1 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n5 3 -1 6\n2 0 -147 36\n22 37 32 9\n-16 45 16 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 7\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 7\n0 1 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n0 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n7 5 9\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 4 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 4\n3 1 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n1 1 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 7\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 14\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"3 3\n5 1 3\n7 5 9\n0 1 5\n1 0 0\n0 2 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 0 0\n2 3\n1 0 1\n0 1 0",
"3 4\n5 1 9 1\n9 4 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -100 41\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 -1\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n1 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 4\n4 5 7\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -2 6\n8 1 -100 41\n22 47 32 14\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 6 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 -1\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n1 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 -1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n5 1 9 1\n9 4 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 2\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -100 36\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 -1\n1 4\n1 1 1 1",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n2 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 4\n4 5 8\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 11\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 6 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 1\n1 4\n1 1 1 1",
"3 4\n3 1 9 -1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n1 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"3 4\n5 1 9 1\n9 1 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 0 2\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -147 36\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 0 1 1\n1 0 0 -1\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n0 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n0 0 0 1\n1 4\n2 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 1 2\n0 1 1\n1 1\n1"
],
"output": [
"193",
"NA",
"9",
"193\n",
"NA\n",
"9\n",
"5\n",
"185\n",
"6\n",
"183\n",
"227\n",
"13\n",
"209\n",
"0\n",
"169\n",
"138\n",
"1\n",
"8\n",
"181\n",
"215\n",
"173\n",
"7\n",
"17\n",
"191\n",
"203\n",
"14\n",
"223\n",
"2\n",
"129\n",
"295\n",
"10\n",
"12\n",
"133\n",
"336\n",
"245\n",
"165\n",
"131\n",
"193\n",
"NA\n",
"193\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"9\n",
"NA\n",
"NA\n",
"185\n",
"NA\n",
"5\n",
"NA\n",
"NA\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"185\n",
"NA\n",
"5\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"13\n",
"NA\n",
"5\n"
]
} | 6AIZU
|
p01017 Yu-kun Likes Rectangles_1447 | Background
The kindergarten attached to the University of Aizu is a kindergarten where children who love programming gather. Yu, one of the kindergarten children, loves rectangles as much as programming. Yu-kun decided to write a program to calculate the maximum score that can be obtained, thinking of a new play to get points using three rectangles.
Problem
Given the rectangles A and B of the H × W cells and the rectangle C of the h × w cells. (H and W represent the number of vertical and horizontal squares of rectangles A and B, respectively, and h and w represent the number of vertical and horizontal squares of rectangle C, respectively.)
As shown in Fig. 1, an integer is written in each cell of A, and each cell of B is colored white or black. Each cell in C is also colored white or black.
Figure 1
Figure 1
If there is a rectangle in B that has exactly the same pattern as C, you can get the sum of the integers written in the corresponding squares in A as a score.
For example, when the rectangles A, B, and C as shown in Fig. 1 are used, the same pattern as C is included in B as shown by the red line in Fig. 2, so 193 points can be obtained from that location.
Figure 2
Figure 2
If there is one or more rectangles in B that have exactly the same pattern as C, how many points can be obtained in such rectangles?
However, if there is no rectangle in B that has the same pattern as C, output "NA" (excluding "). Also, the rectangle cannot be rotated or inverted.
Constraints
The input satisfies the following conditions.
* All inputs are integers
* 1 ≤ H, W ≤ 50
* 1 ≤ h ≤ H
* 1 ≤ w ≤ W
* -100 ≤ a (i, j) ≤ 100
* b (i, j), c (i, j) is 0 or 1
Input
The input format is as follows.
H W
a (1,1) a (1,2) ... a (1, W)
a (2,1) a (2,2) ... a (2, W)
::
a (H, 1) a (H, 2) ... a (H, W)
b (1,1) b (1,2) ... b (1, W)
b (2,1) b (2,2) ... b (2, W)
::
b (H, 1) b (H, 2) ... b (H, W)
h w
c (1,1) c (1,2) ... c (1, w)
c (2,1) c (2,2) ... c (2, w)
::
c (h, 1) c (h, 2) ... c (h, w)
a (i, j) is the integer written in the square (i, j) of the rectangle A, b (i, j) is the color of the square (i, j) of the rectangle B, and c (i, j) Represents the color of the square (i, j) of the rectangle C. As for the color of the square, 0 is white and 1 is black.
Output
If there is a place in rectangle B that has exactly the same pattern as rectangle C, output the one with the highest score among such places.
If no such location exists, print “NA” (excluding “).
Examples
Input
4 4
10 2 -1 6
8 1 -100 41
22 47 32 11
-41 99 12 -8
1 0 0 1
0 0 1 0
0 1 0 1
0 0 1 0
2 3
1 0 1
0 1 0
Output
193
Input
3 3
5 1 3
2 5 9
0 1 5
1 0 0
0 1 1
0 1 1
1 1
1
Output
9
Input
3 4
4 1 9 1
9 1 -1 3
2 -4 1 10
1 1 0 1
0 1 1 1
1 1 0 0
1 4
1 1 1 1
Output
NA | H, W = map(int, input().split())
a_mp = [list(map(int, input().split())) for _ in range(H)]
b_mp = [list(map(int, input().split())) for _ in range(H)]
h, w = map(int, input().split())
c_mp = [list(map(int, input().split())) for _ in range(h)]
INF = 10 ** 20
def check(x, y):
ret = 0
for dy in range(h):
for dx in range(w):
if b_mp[y + dy][x + dx] != c_mp[dy][dx]:
return -INF
ret += a_mp[y + dy][x + dx]
return ret
ans = -INF
for y in range(H - h + 1):
for x in range(W - w + 1):
ans = max(ans, check(x, y))
if ans == -INF:
print("NA")
else:
print(ans)
| 3Python3
| {
"input": [
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 1 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 1 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n2 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 9\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 5 13\n0 1 6\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 89 32 11\n-41 99 12 -16\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 11\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 1 2\n0 1 1\n0 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 11\n-5 59 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 54 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n4 1 2\n4 5 1\n1 1 5\n1 -1 0\n-1 1 2\n0 1 1\n1 1\n2",
"3 3\n5 1 3\n4 5 9\n0 1 8\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 0 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 12 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 -1\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 7\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 4 17\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 17\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 5\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n5 4 14\n0 1 5\n0 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 1 4\n0 1 1\n1 1\n0",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 45 12 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 171 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 10 10\n0 1 5\n0 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 4\n3 -1 9 1\n9 2 -1 3\n1 -2 1 2\n1 1 0 1\n0 0 1 1\n1 0 0 -1\n1 4\n1 1 0 1",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 45 16 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 103 11\n-41 171 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 89 56 5\n-5 99 12 -16\n4 -1 0 4\n0 0 2 0\n1 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n15 1 -100 41\n41 47 56 11\n-1 59 12 -20\n4 0 0 2\n0 0 2 0\n1 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n5 3 -1 6\n2 0 -147 36\n22 37 32 9\n-16 45 16 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 7\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 7\n0 1 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n0 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n7 5 9\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 4 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 4\n3 1 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n1 1 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 7\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 14\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"3 3\n5 1 3\n7 5 9\n0 1 5\n1 0 0\n0 2 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 0 0\n2 3\n1 0 1\n0 1 0",
"3 4\n5 1 9 1\n9 4 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -100 41\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 -1\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n1 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 4\n4 5 7\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -2 6\n8 1 -100 41\n22 47 32 14\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 6 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 -1\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n1 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 -1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n5 1 9 1\n9 4 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 2\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -100 36\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 -1\n1 4\n1 1 1 1",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n2 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 4\n4 5 8\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 11\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 6 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 1\n1 4\n1 1 1 1",
"3 4\n3 1 9 -1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n1 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"3 4\n5 1 9 1\n9 1 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 0 2\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -147 36\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 0 1 1\n1 0 0 -1\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n0 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n0 0 0 1\n1 4\n2 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 1 2\n0 1 1\n1 1\n1"
],
"output": [
"193",
"NA",
"9",
"193\n",
"NA\n",
"9\n",
"5\n",
"185\n",
"6\n",
"183\n",
"227\n",
"13\n",
"209\n",
"0\n",
"169\n",
"138\n",
"1\n",
"8\n",
"181\n",
"215\n",
"173\n",
"7\n",
"17\n",
"191\n",
"203\n",
"14\n",
"223\n",
"2\n",
"129\n",
"295\n",
"10\n",
"12\n",
"133\n",
"336\n",
"245\n",
"165\n",
"131\n",
"193\n",
"NA\n",
"193\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"9\n",
"NA\n",
"NA\n",
"185\n",
"NA\n",
"5\n",
"NA\n",
"NA\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"185\n",
"NA\n",
"5\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"13\n",
"NA\n",
"5\n"
]
} | 6AIZU
|
p01017 Yu-kun Likes Rectangles_1448 | Background
The kindergarten attached to the University of Aizu is a kindergarten where children who love programming gather. Yu, one of the kindergarten children, loves rectangles as much as programming. Yu-kun decided to write a program to calculate the maximum score that can be obtained, thinking of a new play to get points using three rectangles.
Problem
Given the rectangles A and B of the H × W cells and the rectangle C of the h × w cells. (H and W represent the number of vertical and horizontal squares of rectangles A and B, respectively, and h and w represent the number of vertical and horizontal squares of rectangle C, respectively.)
As shown in Fig. 1, an integer is written in each cell of A, and each cell of B is colored white or black. Each cell in C is also colored white or black.
Figure 1
Figure 1
If there is a rectangle in B that has exactly the same pattern as C, you can get the sum of the integers written in the corresponding squares in A as a score.
For example, when the rectangles A, B, and C as shown in Fig. 1 are used, the same pattern as C is included in B as shown by the red line in Fig. 2, so 193 points can be obtained from that location.
Figure 2
Figure 2
If there is one or more rectangles in B that have exactly the same pattern as C, how many points can be obtained in such rectangles?
However, if there is no rectangle in B that has the same pattern as C, output "NA" (excluding "). Also, the rectangle cannot be rotated or inverted.
Constraints
The input satisfies the following conditions.
* All inputs are integers
* 1 ≤ H, W ≤ 50
* 1 ≤ h ≤ H
* 1 ≤ w ≤ W
* -100 ≤ a (i, j) ≤ 100
* b (i, j), c (i, j) is 0 or 1
Input
The input format is as follows.
H W
a (1,1) a (1,2) ... a (1, W)
a (2,1) a (2,2) ... a (2, W)
::
a (H, 1) a (H, 2) ... a (H, W)
b (1,1) b (1,2) ... b (1, W)
b (2,1) b (2,2) ... b (2, W)
::
b (H, 1) b (H, 2) ... b (H, W)
h w
c (1,1) c (1,2) ... c (1, w)
c (2,1) c (2,2) ... c (2, w)
::
c (h, 1) c (h, 2) ... c (h, w)
a (i, j) is the integer written in the square (i, j) of the rectangle A, b (i, j) is the color of the square (i, j) of the rectangle B, and c (i, j) Represents the color of the square (i, j) of the rectangle C. As for the color of the square, 0 is white and 1 is black.
Output
If there is a place in rectangle B that has exactly the same pattern as rectangle C, output the one with the highest score among such places.
If no such location exists, print “NA” (excluding “).
Examples
Input
4 4
10 2 -1 6
8 1 -100 41
22 47 32 11
-41 99 12 -8
1 0 0 1
0 0 1 0
0 1 0 1
0 0 1 0
2 3
1 0 1
0 1 0
Output
193
Input
3 3
5 1 3
2 5 9
0 1 5
1 0 0
0 1 1
0 1 1
1 1
1
Output
9
Input
3 4
4 1 9 1
9 1 -1 3
2 -4 1 10
1 1 0 1
0 1 1 1
1 1 0 0
1 4
1 1 1 1
Output
NA | import java.util.*;
public class Main {
Scanner in = new Scanner(System.in);
public static void main(String[] args) {
new Main();
}
public Main() {
new Problem_B();
}
class Problem_B{
int h,w,ph,pw;
int[][] a;
boolean[][] b;
boolean[][] c;
int sum(int start_x,int start_y){
int result = 0;
for(int s=0;s<ph;s++)for(int i=0;i<pw;i++){
if(c[s][i]==b[s+start_y][i+start_x]){
result+=a[s+start_y][i+start_x];
}else return Integer.MIN_VALUE;
}
return result;
}
public Problem_B() {
h = in.nextInt();
w = in.nextInt();
a = new int[h][w];
b = new boolean[h][w];
for(int i=0;i<h;i++)for(int s=0;s<w;s++)a[i][s] = in.nextInt();
for(int i=0;i<h;i++)for(int s=0;s<w;s++)b[i][s] = in.nextInt()==1;
ph = in.nextInt();
pw = in.nextInt();
c = new boolean[ph][pw];
for(int i=0;i<ph;i++)for(int s=0;s<pw;s++)c[i][s] = in.nextInt()==1;
int result = Integer.MIN_VALUE;
for(int s=0;s<h-ph+1;s++){
for(int i=0;i<w-pw+1;i++){
if(b[s][i]==c[0][0])result=Math.max(result,sum(i,s));
}
}
System.out.println(result!=Integer.MIN_VALUE? result:"NA");
}
}
}
| 4JAVA
| {
"input": [
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 1 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 1 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n2 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 9\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 5 13\n0 1 6\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 89 32 11\n-41 99 12 -16\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 11\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 1 2\n0 1 1\n0 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 11\n-5 59 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 54 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n4 1 2\n4 5 1\n1 1 5\n1 -1 0\n-1 1 2\n0 1 1\n1 1\n2",
"3 3\n5 1 3\n4 5 9\n0 1 8\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 0 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 12 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 -1\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 7\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 4 17\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 17\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 56 5\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n5 4 14\n0 1 5\n0 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 1 4\n0 1 1\n1 1\n0",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 45 12 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 62 11\n-41 171 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n4 10 10\n0 1 5\n0 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 4\n3 -1 9 1\n9 2 -1 3\n1 -2 1 2\n1 1 0 1\n0 0 1 1\n1 0 0 -1\n1 4\n1 1 0 1",
"4 4\n5 3 -1 6\n2 1 -147 36\n22 37 32 11\n-16 45 16 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 103 11\n-41 171 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n0 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 89 56 5\n-5 99 12 -16\n4 -1 0 4\n0 0 2 0\n1 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n15 2 -1 6\n15 1 -100 41\n41 47 56 11\n-1 59 12 -20\n4 0 0 2\n0 0 2 0\n1 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n5 3 -1 6\n2 0 -147 36\n22 37 32 9\n-16 45 16 -8\n1 -1 0 2\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 7\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 7\n0 1 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 3\n5 1 3\n0 5 9\n0 1 5\n1 0 0\n0 1 1\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n7 5 9\n0 1 5\n1 0 0\n0 1 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 1\n9 4 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 4\n3 1 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n1 1 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"3 3\n5 1 3\n4 5 7\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 14\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 9 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"3 3\n5 1 3\n7 5 9\n0 1 5\n1 0 0\n0 2 2\n0 1 1\n1 1\n1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 0 0\n2 3\n1 0 1\n0 1 0",
"3 4\n5 1 9 1\n9 4 -1 3\n2 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -100 41\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"4 4\n10 4 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n2 -1 0 2\n0 0 2 -1\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n1 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 0 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 4\n4 5 7\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 11\n-41 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"4 4\n10 2 -2 6\n8 1 -100 41\n22 47 32 14\n-41 99 12 -8\n1 0 0 1\n0 0 2 0\n0 1 0 1\n0 0 1 0\n4 3\n1 0 1\n0 1 0",
"3 4\n4 1 6 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 0\n1 4\n1 1 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 4 -8\n1 0 0 1\n1 0 2 0\n0 1 0 1\n1 0 1 -1\n2 3\n1 0 1\n0 1 0",
"3 4\n3 1 9 0\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n1 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"4 4\n10 2 -1 6\n8 1 -100 41\n22 47 32 11\n-41 99 12 -8\n1 0 0 2\n0 0 2 0\n0 1 1 1\n1 0 -1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n5 1 9 1\n9 4 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 1 2\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -100 36\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 -1\n1 4\n1 1 1 1",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 1\n1 4\n2 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 0 2\n0 1 1\n1 1\n1",
"3 3\n5 1 4\n4 5 8\n0 0 5\n1 0 -1\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n15 2 -1 6\n8 1 -100 41\n41 47 32 11\n-5 99 12 -16\n4 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n4 1 6 1\n9 2 -1 3\n2 -4 1 9\n1 1 0 1\n0 1 1 1\n1 2 0 1\n1 4\n1 1 1 1",
"3 4\n3 1 9 -1\n9 2 -1 3\n2 -4 1 10\n1 1 0 1\n1 1 1 1\n1 1 0 0\n1 4\n1 2 1 1",
"3 4\n5 1 9 1\n9 1 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n1 0 0 0\n1 4\n1 1 1 1",
"3 3\n5 0 2\n4 5 13\n0 1 6\n1 0 0\n-1 1 2\n0 1 1\n1 1\n1",
"4 4\n5 2 -1 6\n8 1 -147 36\n22 37 32 11\n-41 99 12 -8\n1 -1 0 2\n0 0 2 0\n0 1 0 1\n1 0 1 0\n2 3\n1 0 1\n0 1 0",
"3 4\n3 0 9 1\n9 2 -1 3\n1 -4 1 10\n1 1 0 1\n0 0 1 1\n1 0 0 -1\n1 4\n1 1 1 1",
"3 3\n5 1 3\n4 4 13\n0 1 5\n0 0 0\n-1 0 2\n0 1 1\n1 1\n2",
"3 4\n6 1 9 1\n9 2 -1 3\n0 -4 1 10\n1 1 0 1\n0 1 1 1\n0 0 0 1\n1 4\n2 2 1 1",
"3 3\n5 1 2\n4 5 7\n0 1 5\n1 -1 0\n-1 1 2\n0 1 1\n1 1\n1"
],
"output": [
"193",
"NA",
"9",
"193\n",
"NA\n",
"9\n",
"5\n",
"185\n",
"6\n",
"183\n",
"227\n",
"13\n",
"209\n",
"0\n",
"169\n",
"138\n",
"1\n",
"8\n",
"181\n",
"215\n",
"173\n",
"7\n",
"17\n",
"191\n",
"203\n",
"14\n",
"223\n",
"2\n",
"129\n",
"295\n",
"10\n",
"12\n",
"133\n",
"336\n",
"245\n",
"165\n",
"131\n",
"193\n",
"NA\n",
"193\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"9\n",
"NA\n",
"NA\n",
"185\n",
"NA\n",
"5\n",
"NA\n",
"NA\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"185\n",
"NA\n",
"5\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"5\n",
"193\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"NA\n",
"5\n",
"5\n",
"185\n",
"NA\n",
"NA\n",
"NA\n",
"6\n",
"183\n",
"NA\n",
"13\n",
"NA\n",
"5\n"
]
} | 6AIZU
|
p01150 Eight Princes_1449 | Once upon a time in a kingdom far, far away, there lived eight princes. Sadly they were on very bad terms so they began to quarrel every time they met.
One day, the princes needed to seat at the same round table as a party was held. Since they were always in bad mood, a quarrel would begin whenever:
* A prince took the seat next to another prince.
* A prince took the seat opposite to that of another prince (this happens only when the table has an even number of seats), since they would give malignant looks each other.
Therefore the seat each prince would seat was needed to be carefully determined in order to avoid their quarrels. You are required to, given the number of the seats, count the number of ways to have all eight princes seat in peace.
Input
Each line in the input contains single integer value N , which represents the number of seats on the round table. A single zero terminates the input.
Output
For each input N , output the number of possible ways to have all princes take their seat without causing any quarrels. Mirrored or rotated placements must be counted as different.
You may assume that the output value does not exceed 1014.
Example
Input
8
16
17
0
Output
0
0
685440 | #include "bits/stdc++.h"
#include<unordered_map>
#include<unordered_set>
#pragma warning(disable:4996)
using namespace std;
int sum=0;
vector<int> solve(bitset<13>&used, vector<int>&nums) {
if (used.count() == 13) {
return vector<int>{-1};
}
else {
for (int i = 0; i < 13; ++i) {
if (!used[i]) {
if (sum % (i + 1)==0) {
sum+=(i+1)*nums[i];
used[i] = true;
auto v(solve(used, nums));
if (!v.empty()) {
if (v == vector<int>{-1}) {
v.clear();
}
for (int j = 0; j < nums[i];++j) {
v.push_back(i);
}
return v;
}
used[i]=false;
sum-=(i+1)*nums[i];
}
}
}
return vector<int>();
}
}
int main() {
while (true) {
sum=0;
int N;cin>>N;
if(!N)break;
if (N % 2) {
long long int dp[100][2][2][9];
for (int i = 0; i < 100; ++i) {
for (int j = 0; j < 2; ++j) {
for (int k = 0; k < 2; ++k) {
for (int n = 0; n < 9; ++n) {
dp[i][j][k][n] = 0;
}
}
}
}
for (int luse = 0; luse < 2; ++luse) {
dp[0][luse][luse][luse] = 1;
}
for (int h = 0; h < N - 1; ++h) {
for (int fst_luse = 0; fst_luse < 2; ++fst_luse) {
for (int pre_luse = 0; pre_luse < 2; ++pre_luse) {
for (int cnt = 0; cnt <= 8; ++cnt) {
const long long int num = dp[h][fst_luse][pre_luse][cnt];
for (int next_luse = 0; next_luse < 2; ++next_luse) {
const int next_cnt = cnt + next_luse;
if (next_cnt>8)continue;
const int next_h = h + 1;
if (pre_luse&&next_luse)continue;
if (next_h == N - 1) {
if (fst_luse&&next_luse)continue;
}
dp[next_h][fst_luse][next_luse][next_cnt] += num;
}
}
}
}
}
long long int ans = 0;
{
int h = N - 1;
for (int fst_luse = 0; fst_luse < 2; ++fst_luse) {
for (int pre_luse = 0; pre_luse < 2; ++pre_luse) {
{
int cnt = 8;
const long long int num = dp[h][fst_luse][pre_luse][cnt];
ans += num;
}
}
}
}
ans *= 40320;
cout << ans << endl;
}
else {
long long int dp[100][2][2][2][2][9];
for (int i = 0; i < 100; ++i) {
for (int j = 0; j < 2; ++j) {
for (int k = 0; k < 2; ++k) {
for (int l = 0; l < 2; ++l) {
for (int m = 0; m < 2; ++m) {
for (int n = 0; n < 9; ++n) {
dp[i][j][k][l][m][n]=0;
}
}
}
}
}
}
for (int luse = 0; luse < 2; ++luse) {
for (int ruse = 0; ruse < 2; ++ruse) {
if(luse&&ruse)continue;
dp[0][luse][ruse][luse][ruse][luse+ruse]=1;
}
}
for (int h = 0; h < N / 2-1; ++h) {
for (int fst_luse = 0; fst_luse < 2; ++fst_luse) {
for (int fst_ruse = 0; fst_ruse < 2; ++fst_ruse) {
for (int pre_luse = 0; pre_luse < 2; ++pre_luse) {
for (int pre_ruse = 0; pre_ruse < 2; ++pre_ruse) {
for (int cnt = 0; cnt <= 8; ++cnt) {
const long long int num = dp[h][fst_luse][fst_ruse][pre_luse][pre_ruse][cnt];
for (int next_luse = 0; next_luse < 2; ++next_luse) {
for (int next_ruse=0; next_ruse < 2; ++next_ruse) {
const int next_cnt=cnt+next_luse+next_ruse;
if(next_cnt>8)continue;
const int next_h=h+1;
if(pre_luse&&next_ruse)continue;
if(pre_ruse&&next_luse)continue;
if(next_luse&&next_ruse)continue;
if (next_h == N / 2-1) {
if(fst_luse&&next_luse)continue;
if(fst_ruse&&next_ruse)continue;
}
dp[next_h][fst_luse][fst_ruse][next_luse][next_ruse][next_cnt]+=num;
}
}
}
}
}
}
}
}
long long int ans=0;
{
int h=N/2-1;
for (int fst_luse = 0; fst_luse < 2; ++fst_luse) {
for (int fst_ruse = 0; fst_ruse < 2; ++fst_ruse) {
for (int pre_luse = 0; pre_luse < 2; ++pre_luse) {
for (int pre_ruse = 0; pre_ruse < 2; ++pre_ruse) {
{
int cnt=8;
const long long int num = dp[h][fst_luse][fst_ruse][pre_luse][pre_ruse][cnt];
ans+=num;
}
}
}
}
}
}
ans*=40320;
cout<<ans<<endl;
}
}
return 0;
} | 2C++
| {
"input": [
"8\n16\n17\n0",
"8\n6\n17\n0",
"8\n23\n17\n0",
"8\n6\n3\n0",
"8\n0\n17\n0",
"8\n30\n17\n0",
"8\n6\n23\n0",
"8\n23\n33\n0",
"8\n1\n0\n0",
"8\n30\n24\n0",
"8\n6\n21\n0",
"8\n40\n33\n0",
"8\n15\n33\n0",
"8\n5\n25\n0",
"8\n23\n2\n0",
"8\n39\n33\n0",
"8\n52\n24\n0",
"8\n20\n33\n0",
"8\n9\n19\n0",
"8\n44\n33\n0",
"8\n1\n36\n0",
"8\n19\n1\n0",
"8\n20\n4\n0",
"8\n1\n54\n0",
"8\n21\n17\n0",
"8\n21\n23\n0",
"8\n21\n37\n0",
"8\n19\n37\n0",
"8\n24\n37\n0",
"8\n19\n30\n0",
"8\n11\n37\n0",
"8\n19\n35\n0",
"8\n19\n22\n0",
"8\n3\n22\n0",
"8\n16\n26\n0",
"8\n21\n8\n0",
"8\n34\n37\n0",
"8\n24\n69\n0",
"8\n18\n30\n0",
"8\n11\n38\n0",
"8\n29\n22\n0",
"8\n16\n32\n0",
"8\n36\n8\n0",
"8\n29\n27\n0",
"8\n41\n4\n0",
"8\n44\n4\n0",
"8\n21\n24\n0",
"8\n19\n23\n0",
"8\n21\n22\n0",
"8\n6\n56\n0",
"8\n25\n30\n0",
"8\n19\n19\n0",
"8\n7\n39\n0",
"8\n30\n22\n0",
"8\n3\n60\n0",
"8\n3\n27\n0",
"8\n30\n19\n0",
"8\n24\n63\n0",
"8\n35\n30\n0",
"8\n36\n0\n0",
"8\n24\n27\n0",
"8\n17\n15\n0",
"8\n27\n4\n0",
"8\n16\n24\n0",
"8\n51\n22\n0",
"8\n35\n19\n0",
"8\n3\n44\n0",
"8\n30\n1\n0",
"8\n24\n30\n0",
"8\n62\n30\n0",
"8\n24\n28\n0",
"8\n20\n24\n0",
"8\n11\n3\n0",
"8\n0\n17\n-1",
"8\n7\n3\n0",
"8\n0\n9\n-1",
"8\n1\n3\n0",
"8\n0\n9\n0",
"8\n1\n9\n0",
"8\n6\n2\n0",
"8\n0\n0\n0",
"8\n9\n3\n0",
"8\n7\n1\n0",
"8\n0\n8\n-1",
"8\n0\n9\n1",
"8\n4\n2\n0",
"8\n1\n0\n-1",
"8\n9\n6\n0",
"8\n4\n1\n0",
"8\n0\n6\n1",
"8\n2\n0\n0",
"8\n5\n21\n0",
"8\n1\n0\n-2",
"8\n7\n6\n0",
"8\n0\n1\n1",
"8\n0\n33\n0",
"8\n1\n0\n-3",
"8\n0\n49\n0",
"8\n3\n0\n0",
"8\n0\n49\n1",
"8\n0\n0\n-1"
],
"output": [
"0\n0\n685440",
"0\n0\n685440\n",
"0\n397837440\n685440\n",
"0\n0\n0\n",
"0\n",
"0\n5175878400\n685440\n",
"0\n0\n397837440\n",
"0\n397837440\n57564017280\n",
"0\n0\n",
"0\n5175878400\n170311680\n",
"0\n0\n83825280\n",
"0\n220502016000\n57564017280\n",
"0\n0\n57564017280\n",
"0\n0\n1441440000\n",
"0\n397837440\n0\n",
"0\n400156848000\n57564017280\n",
"0\n4433085296640\n170311680\n",
"0\n6451200\n57564017280\n",
"0\n0\n11491200\n",
"0\n680891904000\n57564017280\n",
"0\n0\n59698114560\n",
"0\n11491200\n0\n",
"0\n6451200\n0\n",
"0\n0\n6664974140160\n",
"0\n83825280\n685440\n",
"0\n83825280\n397837440\n",
"0\n83825280\n220799779200\n",
"0\n11491200\n220799779200\n",
"0\n170311680\n220799779200\n",
"0\n11491200\n5175878400\n",
"0\n0\n220799779200\n",
"0\n11491200\n116035920000\n",
"0\n11491200\n38142720\n",
"0\n0\n38142720\n",
"0\n0\n617460480\n",
"0\n83825280\n0\n",
"0\n28504707840\n220799779200\n",
"0\n170311680\n134307318499200\n",
"0\n725760\n5175878400\n",
"0\n0\n117723513600\n",
"0\n11330323200\n38142720\n",
"0\n0\n12675317760\n",
"0\n59698114560\n0\n",
"0\n11330323200\n4330609920\n",
"0\n695520483840\n0\n",
"0\n680891904000\n0\n",
"0\n83825280\n170311680\n",
"0\n11491200\n397837440\n",
"0\n83825280\n38142720\n",
"0\n0\n9826142699520\n",
"0\n1441440000\n5175878400\n",
"0\n11491200\n11491200\n",
"0\n0\n400156848000\n",
"0\n5175878400\n38142720\n",
"0\n0\n20277521510400\n",
"0\n0\n4330609920\n",
"0\n5175878400\n11491200\n",
"0\n170311680\n56232969811200\n",
"0\n116035920000\n5175878400\n",
"0\n59698114560\n",
"0\n170311680\n4330609920\n",
"0\n685440\n0\n",
"0\n4330609920\n0\n",
"0\n0\n170311680\n",
"0\n6934509429120\n38142720\n",
"0\n116035920000\n11491200\n",
"0\n0\n680891904000\n",
"0\n5175878400\n0\n",
"0\n170311680\n5175878400\n",
"0\n28465795572480\n5175878400\n",
"0\n170311680\n1905684480\n",
"0\n6451200\n170311680\n",
"0\n0\n0\n",
"0\n",
"0\n0\n0\n",
"0\n",
"0\n0\n0\n",
"0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n",
"0\n",
"0\n0\n0\n",
"0\n0\n",
"0\n0\n0\n",
"0\n0\n0\n",
"0\n",
"0\n0\n",
"0\n0\n83825280\n",
"0\n0\n",
"0\n0\n0\n",
"0\n",
"0\n",
"0\n0\n",
"0\n",
"0\n0\n",
"0\n",
"0\n"
]
} | 6AIZU
|
p01289 Strange Couple_1450 | Alice and Bob are going to drive from their home to a theater for a date. They are very challenging - they have no maps with them even though they don’t know the route at all (since they have just moved to their new home). Yes, they will be going just by their feeling.
The town they drive can be considered as an undirected graph with a number of intersections (vertices) and roads (edges). Each intersection may or may not have a sign. On intersections with signs, Alice and Bob will enter the road for the shortest route. When there is more than one such roads, they will go into one of them at random.
On intersections without signs, they will just make a random choice. Each random selection is made with equal probabilities. They can even choose to go back to the road they have just come along, on a random selection.
Calculate the expected distance Alice and Bob will drive before reaching the theater.
Input
The input consists of multiple datasets. Each dataset has the following format:
n s t
q1 q2 ... qn
a11 a12 ... a1n
a21 a22 ... a2n
.
.
.
an1 an2 ... ann
n is the number of intersections (n ≤ 100). s and t are the intersections the home and the theater are located respectively (1 ≤ s, t ≤ n, s ≠ t); qi (for 1 ≤ i ≤ n) is either 1 or 0, where 1 denotes there is a sign at the i-th intersection and 0 denotes there is not; aij (for 1 ≤ i, j ≤ n) is a positive integer denoting the distance of the road connecting the i-th and j-th intersections, or 0 indicating there is no road directly connecting the intersections. The distance of each road does not exceed 10.
Since the graph is undirectional, it holds aij = aji for any 1 ≤ i, j ≤ n. There can be roads connecting the same intersection, that is, it does not always hold aii = 0. Also, note that the graph is not always planar.
The last dataset is followed by a line containing three zeros. This line is not a part of any dataset and should not be processed.
Output
For each dataset, print the expected distance accurate to 10-8 , or "impossible" (without quotes) if there is no route to get to the theater. The distance may be printed with any number of digits after the decimal point.
Example
Input
5 1 5
1 0 1 0 0
0 2 1 0 0
2 0 0 1 0
1 0 0 1 0
0 1 1 0 1
0 0 0 1 0
0 0 0
Output
8.50000000 | #include <cmath>
#include <queue>
#include <cstdio>
#include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
using namespace std;
typedef pair<int, int> pii;
const int maxn = 105;
const int inf = 1e9;
const double eps = 1e-12;
int n, s, t, flag[maxn];
vector<pii> mp[maxn];
void add_edge(int u, int v, int d){
mp[u].push_back(make_pair(v, d));
mp[v].push_back(make_pair(u, d));
}
double eq[maxn][maxn];
double gauss(){
for(int i = 1; i <= n; ++i){
int tmp = i;
for(int j = i; j <= n; ++j) if(fabs(eq[j][i]) > fabs(eq[tmp][i])) tmp = j;
for(int j = i; j <= n; ++j) swap(eq[i][j], eq[tmp][j]); swap(eq[i][0], eq[tmp][0]);
for(int j = i + 1; j <= n; ++j){
double tt = eq[j][i] / eq[i][i];
for(int k = i; k <= n; ++k) eq[j][k] -= eq[i][k] * tt;
eq[j][0] -= eq[i][0] * tt;
}
}
for(int i = n; i >= 1; --i){
for(int j = i + 1; j <= n; ++j) eq[i][0] -= eq[i][j] * eq[j][0];
eq[i][0] /= eq[i][i];
}
return eq[s][0];
}
queue<int> que;
int dist[maxn];
bool inq[maxn];
void spfa(){
for(int i = 1; i <= n; ++i) dist[i] = inf;
dist[t] = 0;
que.push(t);
while(!que.empty()){
int u = que.front();
inq[u] = false;
que.pop();
for(int l = 0; l < mp[u].size(); ++l){
int v = mp[u][l].first;
if(dist[v] <= dist[u] + mp[u][l].second) continue;
dist[v] = dist[u] + mp[u][l].second;
if(!inq[v]){
inq[v] = true;
que.push(v);
}
}
}
}
void work(){
for(int i = 1; i <= n; ++i) mp[i].clear();
for(int i = 1; i <= n; ++i) for(int j = 0; j <= n; ++j) eq[i][j] = 0.00;
for(int i = 1; i <= n; ++i) scanf("%d", &flag[i]);
for(int i = 1; i <= n; ++i) for(int j = 1; j <= n; ++j){
int d; scanf("%d", &d);
if(i < j || d == 0) continue;
add_edge(i, j, d);
}
spfa();
if(dist[s] == inf){
puts("impossible");
return;
}
for(int u = 1; u <= n; ++u){
if(u == t){
eq[u][u] = 1.00;
continue;
}
for(int l = 0; l < mp[u].size(); ++l){
int v = mp[u][l].first;
if(flag[u] && dist[u] != dist[v] + mp[u][l].second) continue;
eq[u][v] += 1.00;
eq[u][0] -= 1.00 * mp[u][l].second;
eq[u][u] -= 1.00;
}
}
printf("%.10f\n", gauss() + eps);
}
int main(){
while(true){
scanf("%d%d%d", &n, &s, &t);
if(n + s + t == 0) break;
work();
}
return 0;
} | 2C++
| {
"input": [
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 4 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 0 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 1 0 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 -1\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 4 1 0 0\n2 0 0 2 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 3 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 0 0 1\n1 1 0 1 0\n0 0 0",
"5 1 5\n0 0 0 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 2\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 4 1 0 1\n1 0 0 1 0\n0 0 0",
"5 2 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 0 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 1\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 2\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 0 0 0 0\n0 1 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 2 1 0 1\n0 0 -1 0 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 1 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 2\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 1 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 1 1\n0 1 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n1 0 1 0 0\n4 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 1 1 0 1\n0 2 1 0 0\n2 0 0 0 1\n1 0 0 2 0\n0 1 0 0 2\n0 0 2 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 8 0\n0 1 0 0 2\n0 0 0 1 -1\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 0 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n1 -1 0 1 1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 0 1 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 4 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 -1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 0 0\n0 0 0",
"5 1 5\n1 1 0 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 -1 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n1 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 2 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 4 1 1 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 0 1 0 0\n2 0 0 0 0\n1 0 0 4 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 2 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 -1 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n0 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n1 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 -1 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 -1 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 1 1 0 1\n0 0 1 0 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 1 0 0 0\n0 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 0 1\n0 1 1 0 1\n0 0 1 0 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n0 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 2 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 0 1\n0 1 2 0 1\n0 0 1 0 0\n0 0 0",
"5 1 5\n1 1 1 1 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 2 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 1 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 4 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 1\n0 1 0 0 0\n0 0 0"
],
"output": [
"8.50000000",
"11.0000000000\n",
"8.5000000000\n",
"9.5000000000\n",
"8.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"2.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"13.0000000000\n",
"17.0000000000\n",
"7.0000000000\n",
"5.0000000000\n",
"21.0000000000\n",
"15.0000000000\n",
"12.0000000000\n",
"4.6666666667\n",
"26.0000000000\n",
"7.5000000000\n",
"16.5000000000\n",
"4.0000000000\n",
"6.8571428571\n",
"11.5000000000\n",
"19.0000000000\n",
"14.0000000000\n",
"5.6666666667\n",
"14.5000000000\n",
"7.4285714286\n",
"7.6666666667\n",
"4.5000000000\n",
"3.5000000000\n",
"10.5000000000\n",
"4.3333333333\n",
"23.0000000000\n",
"16.0000000000\n",
"9.5000000000\n",
"9.5000000000\n",
"11.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"9.0000000000\n",
"8.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"8.5000000000\n",
"2.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"17.0000000000\n",
"2.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"10.0000000000\n",
"8.0000000000\n",
"5.0000000000\n",
"9.5000000000\n",
"11.0000000000\n",
"17.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"2.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"8.0000000000\n",
"8.5000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"2.0000000000\n",
"3.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"8.5000000000\n",
"4.6666666667\n",
"2.0000000000\n",
"2.0000000000\n",
"11.0000000000\n",
"4.6666666667\n",
"2.0000000000\n",
"5.0000000000\n",
"4.6666666667\n",
"7.0000000000\n",
"4.6666666667\n"
]
} | 6AIZU
|
p01289 Strange Couple_1451 | Alice and Bob are going to drive from their home to a theater for a date. They are very challenging - they have no maps with them even though they don’t know the route at all (since they have just moved to their new home). Yes, they will be going just by their feeling.
The town they drive can be considered as an undirected graph with a number of intersections (vertices) and roads (edges). Each intersection may or may not have a sign. On intersections with signs, Alice and Bob will enter the road for the shortest route. When there is more than one such roads, they will go into one of them at random.
On intersections without signs, they will just make a random choice. Each random selection is made with equal probabilities. They can even choose to go back to the road they have just come along, on a random selection.
Calculate the expected distance Alice and Bob will drive before reaching the theater.
Input
The input consists of multiple datasets. Each dataset has the following format:
n s t
q1 q2 ... qn
a11 a12 ... a1n
a21 a22 ... a2n
.
.
.
an1 an2 ... ann
n is the number of intersections (n ≤ 100). s and t are the intersections the home and the theater are located respectively (1 ≤ s, t ≤ n, s ≠ t); qi (for 1 ≤ i ≤ n) is either 1 or 0, where 1 denotes there is a sign at the i-th intersection and 0 denotes there is not; aij (for 1 ≤ i, j ≤ n) is a positive integer denoting the distance of the road connecting the i-th and j-th intersections, or 0 indicating there is no road directly connecting the intersections. The distance of each road does not exceed 10.
Since the graph is undirectional, it holds aij = aji for any 1 ≤ i, j ≤ n. There can be roads connecting the same intersection, that is, it does not always hold aii = 0. Also, note that the graph is not always planar.
The last dataset is followed by a line containing three zeros. This line is not a part of any dataset and should not be processed.
Output
For each dataset, print the expected distance accurate to 10-8 , or "impossible" (without quotes) if there is no route to get to the theater. The distance may be printed with any number of digits after the decimal point.
Example
Input
5 1 5
1 0 1 0 0
0 2 1 0 0
2 0 0 1 0
1 0 0 1 0
0 1 1 0 1
0 0 0 1 0
0 0 0
Output
8.50000000 | import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,copy,functools
import time,random
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 10**9+7
mod2 = 998244353
dd = [(-1,0),(0,1),(1,0),(0,-1)]
ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(): return [list(map(int, l.split())) for l in sys.stdin.readlines()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def pe(s): return print(str(s), file=sys.stderr)
def JA(a, sep): return sep.join(map(str, a))
def JAA(a, s, t): return s.join(t.join(map(str, b)) for b in a)
# 陝ｻ譛ｬ 4-1
# Ax=b繧定ｧ｣縺・ A縺ｯ豁｣譁ｹ陦悟・, 隗｣縺後↑縺・r荳諢上〒縺ｪ縺・ｴ蜷医・None繧定ｿ斐☆
def gauss_jordan(A, b):
n = len(A)
B = [A[i][:] for i in range(n)]
for i in range(n):
B[i].append(b[i])
for i in range(n):
pivot = i
abp = abs(B[i][i])
for j in range(i+1, n):
if abp < abs(B[j][i]):
abp = abs(B[j][i])
pivot = j
B[i],B[pivot] = B[pivot],B[i]
if abp < eps:
return
for j in range(i+1, n+1):
B[i][j] /= B[i][i]
for j in range(n):
if j == i:
continue
for k in range(i+1, n+1):
B[j][k] -= B[j][i] * B[i][k]
return list(map(lambda x: x[-1], B))
def main():
def f():
n,s,t = LI()
if n < 1:
return None
s -= 1
t -= 1
p = LI()
aa = [LI() for _ in range(n)]
e = collections.defaultdict(list)
for i in range(n):
ai = aa[i]
for j in range(n):
if ai[j] == 0:
continue
e[i].append((j, ai[j]))
def search(s):
d = collections.defaultdict(lambda: inf)
d[s] = 0
q = []
heapq.heappush(q, (0, s))
v = collections.defaultdict(bool)
while len(q):
k, u = heapq.heappop(q)
if v[u]:
continue
v[u] = True
for uv, ud in e[u]:
if v[uv]:
continue
vd = k + ud
if d[uv] > vd:
d[uv] = vd
heapq.heappush(q, (vd, uv))
return d
d = search(t)
if d[s] == inf:
return "impossible"
A = [[0]*n for _ in range(n)]
b = [0] * n
for i in range(n):
if i == t or d[i] == inf:
A[i][i] = 1
b[i] = 0
continue
mv = 0
mk = 0
di = d[i]
ai = aa[i]
for j in range(n):
if ai[j] < 1 or (p[i] == 1 and d[j] + ai[j] != di):
continue
mv += 1
mk += ai[j]
A[i][j] = -1
A[i][i] = mv
b[i] = mk
r = gauss_jordan(A, b)
if r is None:
return "impossible"
return "{:0.9f}".format(r[s])
rr = []
while True:
r = f()
if r is None:
break
rr.append(r)
return JA(rr, "\n")
# start = time.time()
print(main())
# pe(time.time() - start)
| 3Python3
| {
"input": [
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 4 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 0 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 1 0 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 -1\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 4 1 0 0\n2 0 0 2 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 3 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 0 0 1\n1 1 0 1 0\n0 0 0",
"5 1 5\n0 0 0 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 2\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 4 1 0 1\n1 0 0 1 0\n0 0 0",
"5 2 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 0 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 1\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 2\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 0 0 0 0\n0 1 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 2 1 0 1\n0 0 -1 0 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 1 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 2\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 1 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 1 1\n0 1 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n1 0 1 0 0\n4 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 1 1 0 1\n0 2 1 0 0\n2 0 0 0 1\n1 0 0 2 0\n0 1 0 0 2\n0 0 2 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 8 0\n0 1 0 0 2\n0 0 0 1 -1\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 0 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n1 -1 0 1 1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 0 1 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 4 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 -1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 0 0\n0 0 0",
"5 1 5\n1 1 0 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 -1 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n1 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 2 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 4 1 1 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 0 1 0 0\n2 0 0 0 0\n1 0 0 4 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 2 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 -1 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n0 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n1 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 -1 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 -1 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 1 1 0 1\n0 0 1 0 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 1 0 0 0\n0 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 0 1\n0 1 1 0 1\n0 0 1 0 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n0 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 2 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 0 1\n0 1 2 0 1\n0 0 1 0 0\n0 0 0",
"5 1 5\n1 1 1 1 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 2 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 1 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 4 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 1\n0 1 0 0 0\n0 0 0"
],
"output": [
"8.50000000",
"11.0000000000\n",
"8.5000000000\n",
"9.5000000000\n",
"8.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"2.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"13.0000000000\n",
"17.0000000000\n",
"7.0000000000\n",
"5.0000000000\n",
"21.0000000000\n",
"15.0000000000\n",
"12.0000000000\n",
"4.6666666667\n",
"26.0000000000\n",
"7.5000000000\n",
"16.5000000000\n",
"4.0000000000\n",
"6.8571428571\n",
"11.5000000000\n",
"19.0000000000\n",
"14.0000000000\n",
"5.6666666667\n",
"14.5000000000\n",
"7.4285714286\n",
"7.6666666667\n",
"4.5000000000\n",
"3.5000000000\n",
"10.5000000000\n",
"4.3333333333\n",
"23.0000000000\n",
"16.0000000000\n",
"9.5000000000\n",
"9.5000000000\n",
"11.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"9.0000000000\n",
"8.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"8.5000000000\n",
"2.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"17.0000000000\n",
"2.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"10.0000000000\n",
"8.0000000000\n",
"5.0000000000\n",
"9.5000000000\n",
"11.0000000000\n",
"17.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"2.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"8.0000000000\n",
"8.5000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"2.0000000000\n",
"3.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"8.5000000000\n",
"4.6666666667\n",
"2.0000000000\n",
"2.0000000000\n",
"11.0000000000\n",
"4.6666666667\n",
"2.0000000000\n",
"5.0000000000\n",
"4.6666666667\n",
"7.0000000000\n",
"4.6666666667\n"
]
} | 6AIZU
|
p01289 Strange Couple_1452 | Alice and Bob are going to drive from their home to a theater for a date. They are very challenging - they have no maps with them even though they don’t know the route at all (since they have just moved to their new home). Yes, they will be going just by their feeling.
The town they drive can be considered as an undirected graph with a number of intersections (vertices) and roads (edges). Each intersection may or may not have a sign. On intersections with signs, Alice and Bob will enter the road for the shortest route. When there is more than one such roads, they will go into one of them at random.
On intersections without signs, they will just make a random choice. Each random selection is made with equal probabilities. They can even choose to go back to the road they have just come along, on a random selection.
Calculate the expected distance Alice and Bob will drive before reaching the theater.
Input
The input consists of multiple datasets. Each dataset has the following format:
n s t
q1 q2 ... qn
a11 a12 ... a1n
a21 a22 ... a2n
.
.
.
an1 an2 ... ann
n is the number of intersections (n ≤ 100). s and t are the intersections the home and the theater are located respectively (1 ≤ s, t ≤ n, s ≠ t); qi (for 1 ≤ i ≤ n) is either 1 or 0, where 1 denotes there is a sign at the i-th intersection and 0 denotes there is not; aij (for 1 ≤ i, j ≤ n) is a positive integer denoting the distance of the road connecting the i-th and j-th intersections, or 0 indicating there is no road directly connecting the intersections. The distance of each road does not exceed 10.
Since the graph is undirectional, it holds aij = aji for any 1 ≤ i, j ≤ n. There can be roads connecting the same intersection, that is, it does not always hold aii = 0. Also, note that the graph is not always planar.
The last dataset is followed by a line containing three zeros. This line is not a part of any dataset and should not be processed.
Output
For each dataset, print the expected distance accurate to 10-8 , or "impossible" (without quotes) if there is no route to get to the theater. The distance may be printed with any number of digits after the decimal point.
Example
Input
5 1 5
1 0 1 0 0
0 2 1 0 0
2 0 0 1 0
1 0 0 1 0
0 1 1 0 1
0 0 0 1 0
0 0 0
Output
8.50000000 | import java.util.Arrays;
import java.util.PriorityQueue;
import java.util.Scanner;
public class Main {
private static final Scanner IN = new Scanner(System.in);
private static final int INFINITE = Integer.MAX_VALUE >> 4;
private static final int MAX_N = 100;
private final int[] distance = new int[MAX_N];
private final int[][] previous = new int[MAX_N][MAX_N];
private final int[] previousN = new int[MAX_N];
private final PriorityQueue<Long> que = new PriorityQueue<Long>(MAX_N * MAX_N);
private void dijkstra() {
Arrays.fill(distance, 0, n, INFINITE);
for (int i = 0; i < n; i ++) {
Arrays.fill(previous[i], 0, n, - 1);
}
Arrays.fill(previousN, 0, n, 0);
distance[t] = 0;
que.add((long) distance[t] << Integer.SIZE | t);
while (!que.isEmpty()) {
long d_v = que.remove();
int v = (int) d_v;
if (distance[v] < d_v >> Integer.SIZE) {
continue;
}
for (int i = 0; i < n; i ++) {
int newD = distance[v] + a[v][i];
if (distance[i] > newD) {
distance[i] = newD;
previousN[i] = 0;
previous[i][previousN[i] ++] = v;
que.add((long) distance[i] << Integer.SIZE | i);
} else if (distance[i] == newD) {
previous[i][previousN[i] ++] = v;
}
}
}
}
private double[][] augmented = new double[MAX_N][MAX_N + 1];
private void gaussJordan() {
for (int i = 0; i < n; i ++) {
int pivot = i;
for (int j = i + 1; j < n; j ++) {
if (Math.abs(augmented[j][i]) > Math.abs(augmented[pivot][i])) {
pivot = j;
}
}
double[] tmp = augmented[i];
augmented[i] = augmented[pivot];
augmented[pivot] = tmp;
for (int j = i + 1; j <= n; j ++) {
augmented[i][j] /= augmented[i][i];
}
for (int j = 0; j < n; j ++) {
if (i != j) {
for (int k = i + 1; k <= n; k ++) {
augmented[j][k] -= augmented[j][i] * augmented[i][k];
}
}
}
}
}
private int n;
private int s;
private int t;
private final int[] q = new int[MAX_N];
private final int[][] a = new int[MAX_N][MAX_N];
private final int[] edgeN = new int[MAX_N];
private void run() {
while(((n = IN.nextInt()) | (s = IN.nextInt()) | (t = IN.nextInt())) != 0) {
s --; t --;
Arrays.fill(edgeN, 0);
for (int i = 0; i < n; i ++) {
Arrays.fill(augmented[i], 0);
q[i] = IN.nextInt();
}
for (int i = 0; i < n; i ++) {
for (int j = 0; j < n; j ++) {
a[i][j] = IN.nextInt();
if (a[i][j] == 0) {
a[i][j] = INFINITE;
} else if (q[i] == 0) {
edgeN[i] ++;
}
}
}
dijkstra();
if (distance[s] >= INFINITE) {
System.out.println("impossible");
}
for (int i = 0; i < n; i ++) {
if (i == t || distance[i] >= INFINITE) {
augmented[i][i] = 1;
continue;
}
if (q[i] == 0) {
for (int j = 0; j < n; j ++) {
if (a[i][j] >= INFINITE) {
continue;
}
augmented[i][j] = - 1;
augmented[i][n] += a[i][j];
}
augmented[i][i] = edgeN[i];
} else {
for (int j = 0; j < previousN[i]; j ++) {
augmented[i][previous[i][j]] = - 1;
augmented[i][n] += a[i][previous[i][j]];
}
augmented[i][i] = previousN[i];
}
}
gaussJordan();
System.out.println(augmented[s][n]);
}
}
public static void main(String[] args) {
new Main().run();
}
} | 4JAVA
| {
"input": [
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 4 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 0 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 1 0 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 -1\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 4 1 0 0\n2 0 0 2 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 3 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 0 0 1\n1 1 0 1 0\n0 0 0",
"5 1 5\n0 0 0 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 2\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 4 1 0 1\n1 0 0 1 0\n0 0 0",
"5 2 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 0 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 0 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 1\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 2\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 0 0 0 0\n0 1 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 2 1 0 1\n0 0 -1 0 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 1\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 1 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 2\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 1 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 1 1\n0 1 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n1 0 1 0 0\n4 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 1 1 0 1\n0 2 1 0 0\n2 0 0 0 1\n1 0 0 2 0\n0 1 0 0 2\n0 0 2 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 8 0\n0 1 0 0 2\n0 0 0 1 -1\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 0 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n1 -1 0 1 1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 0 1 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 4 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 2 0\n0 1 0 0 2\n0 0 1 1 -1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 0 0\n0 0 0",
"5 1 5\n1 1 0 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 2\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 -1 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n1 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 2 0\n1 0 0 1 0\n0 1 0 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 4 1 1 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 0 1 0 0\n2 0 0 0 0\n1 0 0 4 0\n0 1 0 0 4\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n0 0 1 0 1\n0 2 1 0 0\n1 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n-1 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 0 1 1\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 2 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 0 0\n1 -1 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n0 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 2 1 0 1\n1 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 1 1 0\n0 1 0 0 4\n0 0 -1 1 0\n0 0 0",
"5 1 5\n1 0 1 0 0\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 0\n0 1 1 0 0\n2 0 0 0 0\n1 0 0 1 0\n0 1 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n0 0 1 0 0\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 0 0 1\n0 -1 -1 1 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 1 1\n0 1 1 0 1\n0 0 1 0 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n2 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 1 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 1 1 0 0\n2 1 0 0 0\n0 0 0 1 0\n0 0 0 0 4\n0 0 0 2 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n1 0 0 2 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 0 1\n0 1 1 0 1\n0 0 1 0 0\n0 0 0",
"5 2 5\n1 0 1 1 1\n0 3 1 1 0\n0 0 0 1 0\n1 0 0 1 0\n0 1 1 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 0 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 2 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 0 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 0 1 0 1\n0 2 1 0 0\n2 0 0 1 0\n1 0 0 0 1\n0 1 2 0 1\n0 0 1 0 0\n0 0 0",
"5 1 5\n1 1 1 1 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 2 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 1\n0 0 0 0 0\n0 0 0",
"5 1 5\n1 1 1 1 1\n0 2 1 0 0\n2 1 0 0 0\n1 -1 0 4 0\n0 1 0 0 2\n0 1 0 1 0\n0 0 0",
"5 1 5\n0 0 1 1 0\n0 2 1 0 0\n2 0 0 1 0\n1 1 1 1 0\n0 1 0 0 1\n0 1 0 0 0\n0 0 0"
],
"output": [
"8.50000000",
"11.0000000000\n",
"8.5000000000\n",
"9.5000000000\n",
"8.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"2.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"13.0000000000\n",
"17.0000000000\n",
"7.0000000000\n",
"5.0000000000\n",
"21.0000000000\n",
"15.0000000000\n",
"12.0000000000\n",
"4.6666666667\n",
"26.0000000000\n",
"7.5000000000\n",
"16.5000000000\n",
"4.0000000000\n",
"6.8571428571\n",
"11.5000000000\n",
"19.0000000000\n",
"14.0000000000\n",
"5.6666666667\n",
"14.5000000000\n",
"7.4285714286\n",
"7.6666666667\n",
"4.5000000000\n",
"3.5000000000\n",
"10.5000000000\n",
"4.3333333333\n",
"23.0000000000\n",
"16.0000000000\n",
"9.5000000000\n",
"9.5000000000\n",
"11.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"9.0000000000\n",
"8.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"9.0000000000\n",
"8.5000000000\n",
"2.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"17.0000000000\n",
"2.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"10.0000000000\n",
"8.0000000000\n",
"5.0000000000\n",
"9.5000000000\n",
"11.0000000000\n",
"17.0000000000\n",
"6.0000000000\n",
"9.0000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"2.0000000000\n",
"10.0000000000\n",
"3.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"9.5000000000\n",
"8.0000000000\n",
"8.5000000000\n",
"11.0000000000\n",
"9.0000000000\n",
"2.0000000000\n",
"3.0000000000\n",
"9.0000000000\n",
"6.0000000000\n",
"8.5000000000\n",
"4.6666666667\n",
"2.0000000000\n",
"2.0000000000\n",
"11.0000000000\n",
"4.6666666667\n",
"2.0000000000\n",
"5.0000000000\n",
"4.6666666667\n",
"7.0000000000\n",
"4.6666666667\n"
]
} | 6AIZU
|
p01458 Kth Sentence_1453 | A student, Kita_masa, is taking an English examination. In this examination, he has to write a sentence of length m.
Since he completely forgot the English grammar, he decided to consider all sentences of length m constructed by concatenating the words he knows and write the K-th sentence among the candidates sorted in lexicographic order. He believes that it must be the correct sentence because K is today's lucky number for him.
Each word may be used multiple times (or it's also fine not to use it at all) and the sentence does not contain any extra character between words. Two sentences are considered different if the order of the words are different even if the concatenation resulted in the same string.
Input
The first line contains three integers n (1 \leq n \leq 100), m (1 \leq m \leq 2000) and K (1 \leq K \leq 10^{18}), separated by a single space. Each of the following n lines contains a word that Kita_masa knows. The length of each word is between 1 and 200, inclusive, and the words contain only lowercase letters. You may assume all the words given are distinct.
Output
Print the K-th (1-based) sentence of length m in lexicographic order. If there is no such a sentence, print "-".
Examples
Input
2 10 2
hello
world
Output
helloworld
Input
3 3 6
a
aa
b
Output
aba
Input
2 59 1000000000000000000
a
b
Output
- | //84104971101048411497 - Can you guess what does this mean?
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef complex<double> point;
#define mapii map<int, int>
#define debug(a) cout << #a << ": " << a << endl
#define debuga1(a, l, r) fto(i, l, r) cout << a[i] << " "; cout << endl
#define fdto(i, r, l) for(int i = (r); i >= (l); --i)
#define fto(i, l, r) for(int i = (l); i <= (r); ++i)
#define forit(it, var) for(__typeof(var.begin()) it = var.begin(); it != var.end(); it++)
#define forrit(rit, var) for(__typeof(var.rbegin()) rit = var.rbegin(); rit != var.rend(); rit++)
#define ii pair<int, int>
#define iii pair<int, ii>
#define ff first
#define ss second
#define mp make_pair
#define pb push_back
#define maxN 105
#define maxM 2005
#define oo 1000000000000000007LL
#define sz(a) (int)a.size()
const double PI = acos(-1.0);
double fRand(double fMin, double fMax)
{
double f = (double)rand() / RAND_MAX;
return fMin + f * (fMax - fMin);
}
template <class T>
T min(T a, T b, T c) {
return min(a, min(b, c));
}
template <class T>
T max(T a, T b, T c) {
return max(a, max(b, c));
}
ll add(ll &a, const ll &b) {a = min(a+b, oo);}
ll mul(const ll &a, const ll &b) {
if (a == 0) return 0;
if ((a*b)/a != b) return oo;
return min(oo, a*b);
}
int n, m, z[maxM][maxN];
ll id, cnt[maxM], dp[maxM];
string s[maxN];
int main () {
scanf("%d%d%lld", &n, &m, &id);
fto(i, 0, n-1) cin >> s[i];
cnt[0] = 1;
fto(i, 1, m) {
fto(j, 0, n-1) {
if (i >= sz(s[j])) add(cnt[i], cnt[i-sz(s[j])]);
}
}
// fto(i, 0, m) printf("%lld ", cnt[i]);
// puts("");
dp[0] = 1;
string ans;
fto(i, 1, m) {
// debug(i);
fto(c, 'a', 'z') {
ll sum = 0;
fto(j, 0, n-1) {
fto(p, max(1, i-sz(s[j])+1), min(i, m-sz(s[j])+1)) {
if (z[p][j] == i-p && s[j][z[p][j]] == c) {
// printf("%d %d\n", j, p);
add(sum, mul(dp[p-1], cnt[m-(p+sz(s[j])-1)]));
if (sum == oo) break;
}
}
if (sum == oo) break;
}
// printf("%c %lld\n", c, sum);
if (sum >= id) {
ans += c;
fto(j, 0, n-1) {
fto(p, max(1, i-sz(s[j])+1), i) {
if (z[p][j] == i-p && s[j][z[p][j]] == c) ++z[p][j];
}
if (i >= sz(s[j]) && z[i-sz(s[j])+1][j] == sz(s[j]))
add(dp[i], dp[i-sz(s[j])]);
}
break;
} else id -= sum;
}
if (sz(ans) != i) {
puts("-");
return 0;
}
}
cout << ans << endl;
return 0;
} | 2C++
| {
"input": [
"3 3 6\na\naa\nb",
"2 10 2\nhello\nworld",
"2 59 1000000000000000000\na\nb",
"3 3 4\na\naa\nb",
"3 3 4\nb\naa\nb",
"3 3 1\na\naa\nb",
"2 10 0\nhello\nworld",
"2 67 1000000000000000000\na\nb",
"3 3 4\nc\naa\nb",
"2 12 0\nhello\nworld",
"2 132 1000000000000000000\na\nb",
"3 5 4\nc\naa\nb",
"2 12 1\nhello\nworld",
"2 69 1000000000000000000\na\nb",
"2 15 1\nhello\nworld",
"4 28 0\nhelln\nwosld",
"3 3 4\na\naa\nc",
"3 5 1\na\naa\nb",
"3 5 3\nc\naa\nb",
"2 15 0000000000000000000\na\nb",
"3 5 1\nb\naa\nb",
"3 5 3\nc\nba\nb",
"3 3 3\nc\nba\nb",
"2 41 0\nhelkn\nwosld",
"3 3 3\nc\nab\nb",
"3 3 6\nc\nab\nb",
"7 1 1\nb\nbc\nb",
"7 1 1\na\nbc\nb",
"19 7 0\nnlhek\nwoslc",
"19 14 0\nnlhek\nwoslc",
"56 13 -2\nnlhek\nwosld",
"56 17 -2\nnlhek\nwosld",
"14 19 -2\nnkhek\nwosld",
"2 36 -2\nnkhek\nwosld",
"4 6 -2\nnkhek\nwoslc",
"2 10 2\nhemlo\nworld",
"2 87 1000000000000000000\na\nb",
"2 143 1000000000000000000\na\nb",
"3 5 8\nd\naa\nb",
"2 15 1\nhdllo\nworld",
"2 44 0\nhello\nwosld",
"3 5 1\nb\nab\nb",
"3 5 1\nc\nba\nb",
"2 27 0\nhelko\nwosld",
"3 3 6\nc\nab\na",
"2 22 0\ndllho\nmdrow",
"8 8 0\nnlldi\nxpuld",
"7 2 1\nb\nbc\nb",
"7 2 1\na\nbc\nb",
"31 23 -2\nnlhek\nwosld",
"4 62 -2\nnkhek\nwosld",
"3 4 6\na\naa\nb",
"2 66 1000000000000000000\na\nb",
"3 7 8\nd\naa\nb",
"2 54 0\nhello\nworld",
"3 53 0\nnlleh\nwosld",
"2 29 0\nnlleh\nwoslc",
"3 3 1\na\naa\na",
"3 3 2\na\naa\na",
"3 5 4\nd\naa\nb",
"2 15 1000000000000000000\na\nb",
"2 28 1\nhello\nworld",
"2 25 1000000000000000000\na\nb",
"2 28 1\nhello\nwosld",
"2 31 1000000000000000000\na\nb",
"2 28 1\nhelln\nwosld",
"2 9 1000000000000000000\na\nb",
"4 28 1\nhelln\nwosld",
"2 9 1000000000000000000\na\nc",
"2 2 1000000000000000000\na\nc",
"4 28 0\nnlleh\nwosld",
"4 28 0\nnlldh\nwosld",
"3 3 9\na\naa\nb",
"2 59 1000001000000000000\na\nb",
"2 5 1000000000000000000\na\nb",
"6 3 1\na\naa\na",
"2 12 0\nhdllo\nworld",
"2 28 0\nhello\nworld",
"2 28 0\nhello\nwosld",
"2 28 1\nhelln\nwoslc",
"2 11 1000000000000000000\na\nb",
"4 28 2\nhelln\nwosld",
"3 9 1000000000000000000\na\nc",
"4 28 0\nhelkn\nwosld",
"2 2 1000000000000000000\nb\nc",
"6 28 0\nnlleh\nwosld",
"8 28 0\nnlldh\nwosld",
"3 1 9\na\naa\nb",
"2 5 1000000000000000000\nb\nb",
"6 3 1\na\nba\na",
"2 12 0\nhdllo\nwordl",
"2 15 0000000000000000000\nb\nb",
"2 28 0\nhdllo\nworld",
"2 28 0\nhelko\nwosld",
"2 28 0\nhelln\nwoslc",
"2 11 1000000000000000000\na\na",
"4 18 2\nhelln\nwosld",
"3 9 1000000000000000010\na\nc",
"2 28 0\nhelkn\nwosld",
"2 2 1000000000000000001\nb\nc",
"6 28 0\nnlelh\nwosld",
"8 28 0\nnlldh\nwotld",
"2 7 1000000000000000000\nb\nb"
],
"output": [
"aba",
"helloworld",
"-",
"aab\n",
"baa\n",
"aaa\n",
"aaaaaaaaaa\n",
"aaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"bbb\n",
"aaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aabbb\n",
"-\n",
"aaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"hellohellohello\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aac\n",
"aaaaa\n",
"aabaa\n",
"aaaaaaaaaaaaaaa\n",
"aaaab\n",
"babba\n",
"bba\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"bab\n",
"bcb\n",
"b\n",
"a\n",
"aaaaaaa\n",
"aaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaa\n",
"hemloworld\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aadaa\n",
"hdllohdllohdllo\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"ababb\n",
"babab\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aca\n",
"aaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaa\n",
"bb\n",
"aa\n",
"aaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaab\n",
"aaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aaaadaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaa\n",
"aaa\n",
"aabbb\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"baa\n",
"-\n",
"-\n",
"aaa\n",
"aaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"-\n",
"-\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"-\n",
"aaa\n",
"aaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"-\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n"
]
} | 6AIZU
|
p01458 Kth Sentence_1454 | A student, Kita_masa, is taking an English examination. In this examination, he has to write a sentence of length m.
Since he completely forgot the English grammar, he decided to consider all sentences of length m constructed by concatenating the words he knows and write the K-th sentence among the candidates sorted in lexicographic order. He believes that it must be the correct sentence because K is today's lucky number for him.
Each word may be used multiple times (or it's also fine not to use it at all) and the sentence does not contain any extra character between words. Two sentences are considered different if the order of the words are different even if the concatenation resulted in the same string.
Input
The first line contains three integers n (1 \leq n \leq 100), m (1 \leq m \leq 2000) and K (1 \leq K \leq 10^{18}), separated by a single space. Each of the following n lines contains a word that Kita_masa knows. The length of each word is between 1 and 200, inclusive, and the words contain only lowercase letters. You may assume all the words given are distinct.
Output
Print the K-th (1-based) sentence of length m in lexicographic order. If there is no such a sentence, print "-".
Examples
Input
2 10 2
hello
world
Output
helloworld
Input
3 3 6
a
aa
b
Output
aba
Input
2 59 1000000000000000000
a
b
Output
- | import java.io.IOException;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.PriorityQueue;
import java.util.Scanner;
class Main {
public static void main(String[] args) throws IOException {
new Main().run();
}
long INF = (long) (1e19);
void run() {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int m = sc.nextInt();
long k = sc.nextLong();
INF = k + 1;
long[] f = new long[m + 1];
f[0] = 1;
char[][] s = new char[n][];
for (int i = 0; i < n; ++i) {
s[i] = sc.next().toCharArray();
}
for (int j = 0; j < m; ++j) {
for (int i = 0; i < n; ++i) {
if (j + s[i].length > m)
continue;
f[j + s[i].length] = add(f[j + s[i].length], f[j]);
}
}
if (f[m] < k) {
System.out.println("-");
return;
}
boolean[][] cap = new boolean[n][m + 1];
for (int i = 0; i < n; ++i) {
cap[i][0] = true;
}
String ans = "";
long[] g = new long[m + 1];
g[0] = 1;
boolean[][] h = new boolean[n][];
for (int i = 0; i < n; ++i) {
h[i] = new boolean[s[i].length + 1];
if (s[i].length <= m) {
h[i][0] = true;
}
}
for (int T = 0; T < m; ++T) {
char c = '*';
long sum = 0;
boolean flag = false;
for (int i = 0; i < 26; ++i) {
c = (char) ('a' + i);
long tmp = 0;
for (int u = 0; u < n; ++u) {
for (int v = 1; v <= Math.min(s[u].length, T + 1); ++v) {
if (h[u][v - 1] && s[u][v - 1] == c) {
tmp = add(tmp, mul(g[T + 1 - v], f[m - (T + 1) - (s[u].length - v)]));
}
}
}
if (add(tmp, sum) >= k) {
k -= sum;
flag = true;
break;
}
sum = add(sum, tmp);
}
if (!flag)
throw new AssertionError();
ans += c;
if (k == 0)
break;
for (int i = 0; i < n; ++i) {
for (int j = h[i].length - 1; j >= 1; --j) {
h[i][j] = s[i][j - 1] == c && h[i][j - 1];
}
}
for (int i = 0; i < n; ++i) {
h[i][0] = T + s[i].length + 1 <= m;
}
for (int i = 0; i < n; ++i) {
if (h[i][s[i].length]) {
g[T + 1] = add(g[T + 1], g[T + 1 - s[i].length]);
}
}
}
System.out.println(ans);
}
long add(long a, long b) {
if (a + b < 0 || a + b >= INF) {
return INF;
} else {
return a + b;
}
}
long mul(long a, long b) {
if (a * b < 0 || a * b >= INF) {
return INF;
} else {
return a * b;
}
}
void solve(ArrayList<Integer>[] g, int h, int w) {
}
void tr(Object... objects) {
System.out.println(Arrays.deepToString(objects));
}
} | 4JAVA
| {
"input": [
"3 3 6\na\naa\nb",
"2 10 2\nhello\nworld",
"2 59 1000000000000000000\na\nb",
"3 3 4\na\naa\nb",
"3 3 4\nb\naa\nb",
"3 3 1\na\naa\nb",
"2 10 0\nhello\nworld",
"2 67 1000000000000000000\na\nb",
"3 3 4\nc\naa\nb",
"2 12 0\nhello\nworld",
"2 132 1000000000000000000\na\nb",
"3 5 4\nc\naa\nb",
"2 12 1\nhello\nworld",
"2 69 1000000000000000000\na\nb",
"2 15 1\nhello\nworld",
"4 28 0\nhelln\nwosld",
"3 3 4\na\naa\nc",
"3 5 1\na\naa\nb",
"3 5 3\nc\naa\nb",
"2 15 0000000000000000000\na\nb",
"3 5 1\nb\naa\nb",
"3 5 3\nc\nba\nb",
"3 3 3\nc\nba\nb",
"2 41 0\nhelkn\nwosld",
"3 3 3\nc\nab\nb",
"3 3 6\nc\nab\nb",
"7 1 1\nb\nbc\nb",
"7 1 1\na\nbc\nb",
"19 7 0\nnlhek\nwoslc",
"19 14 0\nnlhek\nwoslc",
"56 13 -2\nnlhek\nwosld",
"56 17 -2\nnlhek\nwosld",
"14 19 -2\nnkhek\nwosld",
"2 36 -2\nnkhek\nwosld",
"4 6 -2\nnkhek\nwoslc",
"2 10 2\nhemlo\nworld",
"2 87 1000000000000000000\na\nb",
"2 143 1000000000000000000\na\nb",
"3 5 8\nd\naa\nb",
"2 15 1\nhdllo\nworld",
"2 44 0\nhello\nwosld",
"3 5 1\nb\nab\nb",
"3 5 1\nc\nba\nb",
"2 27 0\nhelko\nwosld",
"3 3 6\nc\nab\na",
"2 22 0\ndllho\nmdrow",
"8 8 0\nnlldi\nxpuld",
"7 2 1\nb\nbc\nb",
"7 2 1\na\nbc\nb",
"31 23 -2\nnlhek\nwosld",
"4 62 -2\nnkhek\nwosld",
"3 4 6\na\naa\nb",
"2 66 1000000000000000000\na\nb",
"3 7 8\nd\naa\nb",
"2 54 0\nhello\nworld",
"3 53 0\nnlleh\nwosld",
"2 29 0\nnlleh\nwoslc",
"3 3 1\na\naa\na",
"3 3 2\na\naa\na",
"3 5 4\nd\naa\nb",
"2 15 1000000000000000000\na\nb",
"2 28 1\nhello\nworld",
"2 25 1000000000000000000\na\nb",
"2 28 1\nhello\nwosld",
"2 31 1000000000000000000\na\nb",
"2 28 1\nhelln\nwosld",
"2 9 1000000000000000000\na\nb",
"4 28 1\nhelln\nwosld",
"2 9 1000000000000000000\na\nc",
"2 2 1000000000000000000\na\nc",
"4 28 0\nnlleh\nwosld",
"4 28 0\nnlldh\nwosld",
"3 3 9\na\naa\nb",
"2 59 1000001000000000000\na\nb",
"2 5 1000000000000000000\na\nb",
"6 3 1\na\naa\na",
"2 12 0\nhdllo\nworld",
"2 28 0\nhello\nworld",
"2 28 0\nhello\nwosld",
"2 28 1\nhelln\nwoslc",
"2 11 1000000000000000000\na\nb",
"4 28 2\nhelln\nwosld",
"3 9 1000000000000000000\na\nc",
"4 28 0\nhelkn\nwosld",
"2 2 1000000000000000000\nb\nc",
"6 28 0\nnlleh\nwosld",
"8 28 0\nnlldh\nwosld",
"3 1 9\na\naa\nb",
"2 5 1000000000000000000\nb\nb",
"6 3 1\na\nba\na",
"2 12 0\nhdllo\nwordl",
"2 15 0000000000000000000\nb\nb",
"2 28 0\nhdllo\nworld",
"2 28 0\nhelko\nwosld",
"2 28 0\nhelln\nwoslc",
"2 11 1000000000000000000\na\na",
"4 18 2\nhelln\nwosld",
"3 9 1000000000000000010\na\nc",
"2 28 0\nhelkn\nwosld",
"2 2 1000000000000000001\nb\nc",
"6 28 0\nnlelh\nwosld",
"8 28 0\nnlldh\nwotld",
"2 7 1000000000000000000\nb\nb"
],
"output": [
"aba",
"helloworld",
"-",
"aab\n",
"baa\n",
"aaa\n",
"aaaaaaaaaa\n",
"aaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"bbb\n",
"aaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aabbb\n",
"-\n",
"aaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"hellohellohello\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aac\n",
"aaaaa\n",
"aabaa\n",
"aaaaaaaaaaaaaaa\n",
"aaaab\n",
"babba\n",
"bba\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"bab\n",
"bcb\n",
"b\n",
"a\n",
"aaaaaaa\n",
"aaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaa\n",
"hemloworld\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aadaa\n",
"hdllohdllohdllo\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"ababb\n",
"babab\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aca\n",
"aaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaa\n",
"bb\n",
"aa\n",
"aaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaab\n",
"aaaaaabbabbbbaaaaababbabbababbaabbbabaabbbabbaaabbbbbbbbbbbbbbbbbb\n",
"aaaadaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaa\n",
"aaa\n",
"aabbb\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"baa\n",
"-\n",
"-\n",
"aaa\n",
"aaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"-\n",
"-\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"-\n",
"aaa\n",
"aaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"-\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"aaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"-\n"
]
} | 6AIZU
|
p01609 One_1455 | One
Problem Statement
A beautiful mountain range can be seen from the train window.
The window is a rectangle with the coordinates of the lower left corner (0, 0) and the coordinates of the upper right corner (W, H).
N peaks can be seen from the window, and the i-th peak has the shape of an upwardly convex parabola y = a_i (x-p_i) ^ 2 + q_i.
Find the length of the boundary between the mountain and the sky.
The following three figures correspond to Sample Input. The part shown by the thick line is the boundary between the mountain and the sky.
<image> <image> <image>
Constraints
* 1 ≤ W, H ≤ 100
* 1 ≤ N ≤ 50
* -100 ≤ a_i ≤ -1
* 0 ≤ p_i ≤ W
* 1 ≤ q_i ≤ H
* If i \ neq j, then (a_i, p_i, q_i) \ neq (a_j, p_j, q_j)
Input
Input follows the following format. All given numbers are integers.
W H N
a_1 p_1 q_1
...
a_N p_N q_N
Output
Output the length of the boundary between the mountain and the sky on one line.
The output value must have an absolute or relative error of less than 10 ^ {-6} with the true value.
Examples
Input
20 20 1
-1 10 10
Output
21.520346288593280
Input
20 20 2
-1 10 10
-2 10 5
Output
21.520346288593280
Input
15 100 2
-2 5 100
-2 10 100
Output
126.921542730127873 | #include <cstdio>
#include <cmath>
#include <vector>
#include <algorithm>
using namespace std;
#define INTERVAL 2097152
#define EPS 1e-9
int W,H,N;
int yama[101][3];
double xint[101][2];
double quad(double x,int nyama)
{
double a=yama[nyama][0];
double p=yama[nyama][1];
double q=yama[nyama][2];
return a*(x-p)*(x-p)+q;
}
double x_int(int nyama,int left)
{
double a=yama[nyama][0];
double p=yama[nyama][1];
double q=yama[nyama][2];
return p+1.0*left*sqrt(-q/a);
}
double q_int(int nyama1, int nyama2, int left)
{
int a1=yama[nyama1][0];
int p1=yama[nyama1][1];
int q1=yama[nyama1][2];
int a2=yama[nyama2][0];
int p2=yama[nyama2][1];
int q2=yama[nyama2][2];
if (a1==a2)
{
if(p1==p2)
return -1.0;
else
{
double ans=0.5*(p1+p2+(q2-q1)*1.0/(a1*(p2-p1)));
if (quad(ans,nyama1)>0-EPS)
return ans;
else
return -1.0;
}
}
else
{
double A=a1-a2;
double B=2*(p2*a2-p1*a1);
double C=a1*p1*p1-a2*p2*p2+q1-q2;
double delta=B*B-4*A*C;
if (delta>0-EPS)
{
double ans=(-B+1.0*left*sqrt(delta))/(2.0*A);
if (quad(ans,nyama1)>0-EPS)
return ans;
else
return -1.0;
}
else
return -1.0;
}
}
double dquad_dx(double x,int nyama)
{
double a=yama[nyama][0];
double p=yama[nyama][1];
return 2.0*a*(x-p);
}
double cir(double x,int nyama)
{
double fpx=dquad_dx(x,nyama);
return sqrt(1+fpx*fpx);
}
/*数値計算積分、ずっとTLEかWA（誤差は約1e-5~1e-4）
double integrates(int s, int nyama)
{
double a=1.0*s/INTERVAL;
double b=1.0*(s+1)/INTERVAL;
//return 1.0/6.0/INTERVAL*(cir(a,nyama)+cir(b,nyama)+4*cir((a+b)/2.0,nyama));
return 1.0/2.0/INTERVAL*(cir(a,nyama)+cir(b,nyama));
}
double integrate(double b,double e,int nyama)
{
int begin=b*INTERVAL;
int end=e*INTERVAL;
double ans=0.0;
for(int i=begin;i<end;i++)
{
ans+=integrates(i,nyama);
}
return ans;
}
*/
//解析積分
double integrated(double x, int nyama)
{
double a=yama[nyama][0];
double fpx=dquad_dx(x,nyama);
return (fpx*cir(x,nyama)+log(abs(fpx+cir(x,nyama))))/4.0/a;
}
double integrate(double b,double e,int nyama)
{
return integrated(e,nyama)-integrated(b,nyama);
}
//
vector<double> sec;
int main()
{
scanf("%d%d%d",&W,&H,&N);
for(int i=0;i<N;i++)
{
scanf("%d%d%d",&yama[i][0],&yama[i][1],&yama[i][2]);
xint[i][0]=x_int(i,-1);
xint[i][1]=x_int(i,1);
double tmp1=x_int(i,-1);
double tmp2=x_int(i,1);
if (-EPS< tmp1 && tmp1<W+EPS)
sec.push_back(tmp1);
if (-EPS< tmp2 && tmp2<W+EPS && fabs(tmp1-tmp2)>EPS)
sec.push_back(tmp2);
}
for(int i=0;i<N;i++)
for(int j=i+1;j<N;j++)
{
double tmp1=q_int(i,j,-1);
double tmp2=q_int(i,j,1);
if (-EPS< tmp1 && tmp1<W+EPS)
sec.push_back(tmp1);
if (-EPS< tmp2 && tmp2<W+EPS && fabs(tmp1-tmp2)>EPS)
sec.push_back(tmp2);
}
sort(sec.begin(),sec.end());
sec.erase(unique(sec.begin(),sec.end()), sec.end() );
double ans=0;
double mae=0.0;
vector<double>::iterator it=sec.begin();
while(1)
{
int nyama=-1;
double max=0.0;
double now_p;
if (it==sec.end())
now_p=1.0*W;
else
now_p=(*it);
//printf("%lf\n",now_p);
for(int j=0;j<N;j++)
{
double x=(mae+now_p)/2.0;
if (x<xint[j][0]-EPS||x>xint[j][1]+EPS) continue;
double y=quad(x,j);
if(y>max+EPS)
{
max=y;
nyama=j;
}
}
if (nyama!=-1)
ans+=integrate(mae,now_p,nyama);
if (it==sec.end()) break;
mae=now_p;
++it;
}
printf("%lf\n",ans);
}
| 2C++
| {
"input": [
"20 20 2\n-1 10 10\n-2 10 5",
"15 100 2\n-2 5 100\n-2 10 100",
"20 20 1\n-1 10 10",
"20 20 2\n-1 10 10\n-2 10 9",
"20 20 2\n-1 18 10\n-2 10 9",
"20 20 2\n-1 18 10\n-2 10 3",
"20 28 1\n-2 15 10",
"20 28 1\n-2 15 16",
"13 20 2\n-1 10 10\n-2 10 5",
"20 20 2\n-1 10 7\n-2 10 9",
"20 20 2\n-1 18 12\n-2 10 9",
"20 20 2\n-1 18 8\n-2 10 3",
"11 28 1\n-2 15 10",
"20 28 1\n-2 15 7",
"4 20 1\n-1 3 10",
"20 32 1\n-1 10 5",
"20 20 2\n-1 18 10\n-2 10 4",
"20 41 1\n-1 15 9",
"20 20 2\n-1 18 1\n-2 10 3",
"20 28 1\n-2 15 13",
"24 20 2\n-1 10 0\n-2 10 9",
"20 20 2\n-1 18 1\n-2 10 5",
"20 28 1\n-2 0 13",
"4 20 1\n-1 6 15",
"20 20 2\n-1 9 10\n-2 10 9",
"20 28 1\n-2 15 14",
"20 28 1\n-2 21 16",
"11 28 1\n-2 0 10",
"13 20 2\n-1 10 10\n-3 7 5",
"20 28 1\n-2 15 20",
"13 17 2\n-1 10 7\n-3 10 5",
"20 20 2\n-1 18 1\n-3 10 5",
"20 28 1\n-2 0 6",
"24 26 2\n-1 10 0\n-2 10 3",
"20 41 1\n-2 0 1",
"20 37 1\n-2 1 13",
"20 50 1\n-1 2 9",
"20 38 2\n-1 16 10\n-2 10 9",
"20 28 1\n-3 15 14",
"20 34 2\n-1 17 7\n-2 10 9",
"11 28 1\n-2 1 10",
"13 20 2\n-1 10 10\n-3 7 8",
"20 32 1\n-1 6 1",
"12 20 2\n-1 16 0\n-2 10 9",
"20 28 1\n-3 0 6",
"24 26 2\n-1 10 0\n-2 1 3",
"20 41 1\n-1 14 17",
"20 41 1\n-2 1 1",
"23 26 2\n-2 10 0\n-2 6 4",
"20 50 1\n-1 2 16",
"15 20 2\n-1 9 10\n-2 15 9",
"13 33 1\n-2 15 10",
"20 20 2\n-1 18 10\n-2 1 4",
"13 20 2\n-1 4 10\n-3 7 8",
"40 20 2\n-1 10 7\n-1 10 16",
"20 28 1\n-3 -1 6",
"24 26 2\n-1 10 0\n-2 1 2",
"20 73 1\n-4 1 13",
"20 50 1\n-1 0 16",
"3 20 1\n-2 5 26",
"37 38 2\n-2 16 10\n-2 10 9",
"15 20 2\n-1 18 10\n-2 15 9",
"20 20 2\n-1 18 10\n-2 1 6",
"1 20 2\n-1 6 10\n-1 3 5",
"20 34 2\n-1 5 7\n-2 10 6",
"13 20 2\n-1 4 10\n-1 7 8",
"10 41 1\n-1 14 17",
"20 73 1\n-4 2 13",
"20 50 1\n-2 0 16",
"20 44 1\n-1 1 13",
"37 38 2\n-2 16 10\n-2 0 9",
"20 20 2\n-1 18 10\n-2 1 5",
"20 39 1\n-2 17 25",
"1 20 2\n-1 6 10\n-1 3 9",
"20 34 2\n-1 5 7\n-2 10 2",
"13 20 2\n-1 4 10\n-1 7 14",
"40 20 2\n-1 4 13\n-1 10 16",
"26 34 2\n-1 10 7\n-3 4 7",
"20 73 1\n-6 2 13",
"20 44 1\n-1 1 19",
"37 38 2\n-2 16 10\n-4 0 9",
"15 20 2\n-2 18 10\n-4 15 9",
"20 39 1\n-1 17 25",
"1 20 2\n-1 6 10\n-1 1 9",
"13 20 2\n-1 4 10\n-1 7 18",
"40 20 2\n-1 5 13\n-1 10 16",
"26 34 2\n-2 10 7\n-3 4 7",
"20 73 1\n-12 2 13",
"20 39 1\n-1 17 38",
"20 37 2\n-1 5 7\n-4 10 2",
"40 20 2\n-1 5 1\n-1 10 16",
"20 67 1\n-2 1 19",
"13 26 2\n-1 4 6\n-1 7 18",
"20 67 1\n-2 1 7",
"13 26 2\n-1 2 6\n-1 7 18",
"37 44 2\n-2 40 10\n-4 0 1",
"3 26 2\n-1 2 6\n-1 7 18",
"60 11 2\n-3 40 8\n-4 0 1",
"60 11 2\n-3 40 8\n-7 0 1",
"23 11 2\n-3 40 8\n-7 0 1",
"15 100 2\n-2 6 100\n-2 10 100",
"7 20 1\n-1 10 10",
"20 20 2\n-1 10 10\n-2 15 9"
],
"output": [
"21.520346288593280",
"126.921542730127873",
"21.520346288593280",
"21.520346289\n",
"34.240259496\n",
"22.103789181\n",
"20.846429535\n",
"32.905034243\n",
"20.507261903\n",
"19.040295762\n",
"36.262920953\n",
"20.076088851\n",
"0.000000000\n",
"14.802011319\n",
"11.226031616\n",
"11.348593389\n",
"24.139429721\n",
"19.494177517\n",
"9.654717989\n",
"26.879135419\n",
"18.833302589\n",
"13.718058859\n",
"13.439567709\n",
"11.163814781\n",
"21.661517171\n",
"28.888377551\n",
"14.129125241\n",
"10.423214768\n",
"22.806604772\n",
"40.932878530\n",
"15.431837222\n",
"13.498284744\n",
"6.391417301\n",
"6.696832274\n",
"1.281003569\n",
"15.762959591\n",
"14.393872521\n",
"40.353648878\n",
"28.625978686\n",
"34.265139811\n",
"12.746606649\n",
"25.773497710\n",
"2.957885715\n",
"17.825968078\n",
"6.277767530\n",
"5.671808018\n",
"35.652366276\n",
"2.562007137\n",
"8.732472814\n",
"21.465417329\n",
"30.936997583\n",
"2.013897984\n",
"22.096585195\n",
"26.786582096\n",
"33.637267134\n",
"3.028737944\n",
"4.646783762\n",
"17.446065671\n",
"16.818633567\n",
"18.073497774\n",
"39.679732124\n",
"9.416651295\n",
"24.121766089\n",
"1.027512932\n",
"28.214671823\n",
"25.355864080\n",
"1.007549571\n",
"26.482814558\n",
"16.452517122\n",
"15.271733213\n",
"30.263080830\n",
"23.110435360\n",
"43.940231308\n",
"5.100304996\n",
"20.078620984\n",
"32.053945839\n",
"50.228895026\n",
"30.000177100\n",
"26.338754091\n",
"21.318981159\n",
"30.076362059\n",
"9.229932524\n",
"35.621333549\n",
"1.478942858\n",
"38.523859858\n",
"44.691672695\n",
"29.370351197\n",
"26.183809275\n",
"48.673565874\n",
"19.798073629\n",
"36.595152849\n",
"21.786630439\n",
"37.991636937\n",
"9.724397541\n",
"40.200937495\n",
"1.161695941\n",
"6.125726620\n",
"17.741132605\n",
"17.681710751\n",
"1.102274087\n",
"139.888709778\n",
"1.013084386\n",
"38.333229981\n"
]
} | 6AIZU
|
p01609 One_1456 | One
Problem Statement
A beautiful mountain range can be seen from the train window.
The window is a rectangle with the coordinates of the lower left corner (0, 0) and the coordinates of the upper right corner (W, H).
N peaks can be seen from the window, and the i-th peak has the shape of an upwardly convex parabola y = a_i (x-p_i) ^ 2 + q_i.
Find the length of the boundary between the mountain and the sky.
The following three figures correspond to Sample Input. The part shown by the thick line is the boundary between the mountain and the sky.
<image> <image> <image>
Constraints
* 1 ≤ W, H ≤ 100
* 1 ≤ N ≤ 50
* -100 ≤ a_i ≤ -1
* 0 ≤ p_i ≤ W
* 1 ≤ q_i ≤ H
* If i \ neq j, then (a_i, p_i, q_i) \ neq (a_j, p_j, q_j)
Input
Input follows the following format. All given numbers are integers.
W H N
a_1 p_1 q_1
...
a_N p_N q_N
Output
Output the length of the boundary between the mountain and the sky on one line.
The output value must have an absolute or relative error of less than 10 ^ {-6} with the true value.
Examples
Input
20 20 1
-1 10 10
Output
21.520346288593280
Input
20 20 2
-1 10 10
-2 10 5
Output
21.520346288593280
Input
15 100 2
-2 5 100
-2 10 100
Output
126.921542730127873 | import java.util.*;
import java.lang.*;
import java.math.*;
import java.io.*;
import static java.lang.Math.*;
import static java.util.Arrays.*;
import static java.util.Collections.*;
public class Main{
Scanner sc=new Scanner(System.in);
int INF=1<<28;
int w, h, n;
double[] as, ps, qs;
void run(){
w=sc.nextInt();
h=sc.nextInt();
n=sc.nextInt();
as=new double[n];
ps=new double[n];
qs=new double[n];
for(int i=0; i<n; i++){
as[i]=sc.nextInt();
ps[i]=sc.nextInt();
qs[i]=sc.nextInt();
}
solve();
}
void solve(){
TreeSet<Double> set=new TreeSet<Double>();
for(int i=0; i<n; i++){
for(int j=i+1; j<n; j++){
// ai * x2 - 2ai*pi + ai*pi^2 + qi
double a=as[i]-as[j];
double b=-2*as[i]*ps[i]+2*as[j]*ps[j];
double c=as[i]*ps[i]*ps[i]+qs[i]-(as[j]*ps[j]*ps[j]+qs[j]);
for(double x : quad(a, b, c)){
set.add(x);
}
}
double a=as[i];
double b=-2*as[i]*ps[i];
double c=as[i]*ps[i]*ps[i]+qs[i];
for(double x : quad(a, b, c)){
set.add(x);
}
}
set.add(0.0);
set.add(w*1.0);
for(; set.lower(0.0)!=null;){
set.remove(set.lower(0.0));
}
for(; set.higher(w*1.0)!=null;){
set.remove(set.higher(w*1.0));
}
double ans=0;
int m=(int)1e7; // 分割個数
Double[] xs=set.toArray(new Double[0]);
// debug(xs);
int sumsum=0;
for(int j=0; j<xs.length-1; j++){
double x1=xs[j], x2=xs[j+1], mid=(x1+x2)/2;
// debug(j, x1, x2);
int k=0;
for(int i=0; i<n; i++){
if(val(i, mid)>val(k, mid)){
k=i;
}
}
// debug("k", k);
if(val(k, mid)<0){
continue;
}
int d=(int)(m*(x2-x1)/w+1);
d=10000;
sumsum+=d;
double h=(x2-x1)/d;
double sum=0;
sum+=dval(k, x1);
for(int i=1; i<=d/2-1; i++){
sum+=2*dval(k, x1+2*i*h);
}
for(int i=1; i<=d/2; i++){
sum+=4*dval(k, x1+(2*i-1)*h);
}
sum+=dval(k, x2);
sum*=h/3;
// debug(sum);
ans+=sum;
}
// debug(sumsum);
// debug(ans);
println(String.format("%.20f", ans));
}
double val(int i, double x){
return as[i]*(x-ps[i])*(x-ps[i])+qs[i];
}
double dval(int i, double x){
double dif=2*as[i]*(x-ps[i]);
return sqrt(1+dif*dif);
}
double[] quad(double a, double b, double c){
if(a==0)
return new double[]{-c/b};
double D=b*b-4*a*c;
if(D<0)
return new double[0];
if(D==0)
return new double[]{-b/(2*a)};
return new double[]{(-b-sqrt(D))/(2*a), 2*c/(-b-sqrt(D))};
}
void println(String s){
System.out.println(s);
}
void debug(Object... os){
System.err.println(deepToString(os));
}
public static void main(String[] args){
new Main().run();
}
} | 4JAVA
| {
"input": [
"20 20 2\n-1 10 10\n-2 10 5",
"15 100 2\n-2 5 100\n-2 10 100",
"20 20 1\n-1 10 10",
"20 20 2\n-1 10 10\n-2 10 9",
"20 20 2\n-1 18 10\n-2 10 9",
"20 20 2\n-1 18 10\n-2 10 3",
"20 28 1\n-2 15 10",
"20 28 1\n-2 15 16",
"13 20 2\n-1 10 10\n-2 10 5",
"20 20 2\n-1 10 7\n-2 10 9",
"20 20 2\n-1 18 12\n-2 10 9",
"20 20 2\n-1 18 8\n-2 10 3",
"11 28 1\n-2 15 10",
"20 28 1\n-2 15 7",
"4 20 1\n-1 3 10",
"20 32 1\n-1 10 5",
"20 20 2\n-1 18 10\n-2 10 4",
"20 41 1\n-1 15 9",
"20 20 2\n-1 18 1\n-2 10 3",
"20 28 1\n-2 15 13",
"24 20 2\n-1 10 0\n-2 10 9",
"20 20 2\n-1 18 1\n-2 10 5",
"20 28 1\n-2 0 13",
"4 20 1\n-1 6 15",
"20 20 2\n-1 9 10\n-2 10 9",
"20 28 1\n-2 15 14",
"20 28 1\n-2 21 16",
"11 28 1\n-2 0 10",
"13 20 2\n-1 10 10\n-3 7 5",
"20 28 1\n-2 15 20",
"13 17 2\n-1 10 7\n-3 10 5",
"20 20 2\n-1 18 1\n-3 10 5",
"20 28 1\n-2 0 6",
"24 26 2\n-1 10 0\n-2 10 3",
"20 41 1\n-2 0 1",
"20 37 1\n-2 1 13",
"20 50 1\n-1 2 9",
"20 38 2\n-1 16 10\n-2 10 9",
"20 28 1\n-3 15 14",
"20 34 2\n-1 17 7\n-2 10 9",
"11 28 1\n-2 1 10",
"13 20 2\n-1 10 10\n-3 7 8",
"20 32 1\n-1 6 1",
"12 20 2\n-1 16 0\n-2 10 9",
"20 28 1\n-3 0 6",
"24 26 2\n-1 10 0\n-2 1 3",
"20 41 1\n-1 14 17",
"20 41 1\n-2 1 1",
"23 26 2\n-2 10 0\n-2 6 4",
"20 50 1\n-1 2 16",
"15 20 2\n-1 9 10\n-2 15 9",
"13 33 1\n-2 15 10",
"20 20 2\n-1 18 10\n-2 1 4",
"13 20 2\n-1 4 10\n-3 7 8",
"40 20 2\n-1 10 7\n-1 10 16",
"20 28 1\n-3 -1 6",
"24 26 2\n-1 10 0\n-2 1 2",
"20 73 1\n-4 1 13",
"20 50 1\n-1 0 16",
"3 20 1\n-2 5 26",
"37 38 2\n-2 16 10\n-2 10 9",
"15 20 2\n-1 18 10\n-2 15 9",
"20 20 2\n-1 18 10\n-2 1 6",
"1 20 2\n-1 6 10\n-1 3 5",
"20 34 2\n-1 5 7\n-2 10 6",
"13 20 2\n-1 4 10\n-1 7 8",
"10 41 1\n-1 14 17",
"20 73 1\n-4 2 13",
"20 50 1\n-2 0 16",
"20 44 1\n-1 1 13",
"37 38 2\n-2 16 10\n-2 0 9",
"20 20 2\n-1 18 10\n-2 1 5",
"20 39 1\n-2 17 25",
"1 20 2\n-1 6 10\n-1 3 9",
"20 34 2\n-1 5 7\n-2 10 2",
"13 20 2\n-1 4 10\n-1 7 14",
"40 20 2\n-1 4 13\n-1 10 16",
"26 34 2\n-1 10 7\n-3 4 7",
"20 73 1\n-6 2 13",
"20 44 1\n-1 1 19",
"37 38 2\n-2 16 10\n-4 0 9",
"15 20 2\n-2 18 10\n-4 15 9",
"20 39 1\n-1 17 25",
"1 20 2\n-1 6 10\n-1 1 9",
"13 20 2\n-1 4 10\n-1 7 18",
"40 20 2\n-1 5 13\n-1 10 16",
"26 34 2\n-2 10 7\n-3 4 7",
"20 73 1\n-12 2 13",
"20 39 1\n-1 17 38",
"20 37 2\n-1 5 7\n-4 10 2",
"40 20 2\n-1 5 1\n-1 10 16",
"20 67 1\n-2 1 19",
"13 26 2\n-1 4 6\n-1 7 18",
"20 67 1\n-2 1 7",
"13 26 2\n-1 2 6\n-1 7 18",
"37 44 2\n-2 40 10\n-4 0 1",
"3 26 2\n-1 2 6\n-1 7 18",
"60 11 2\n-3 40 8\n-4 0 1",
"60 11 2\n-3 40 8\n-7 0 1",
"23 11 2\n-3 40 8\n-7 0 1",
"15 100 2\n-2 6 100\n-2 10 100",
"7 20 1\n-1 10 10",
"20 20 2\n-1 10 10\n-2 15 9"
],
"output": [
"21.520346288593280",
"126.921542730127873",
"21.520346288593280",
"21.520346289\n",
"34.240259496\n",
"22.103789181\n",
"20.846429535\n",
"32.905034243\n",
"20.507261903\n",
"19.040295762\n",
"36.262920953\n",
"20.076088851\n",
"0.000000000\n",
"14.802011319\n",
"11.226031616\n",
"11.348593389\n",
"24.139429721\n",
"19.494177517\n",
"9.654717989\n",
"26.879135419\n",
"18.833302589\n",
"13.718058859\n",
"13.439567709\n",
"11.163814781\n",
"21.661517171\n",
"28.888377551\n",
"14.129125241\n",
"10.423214768\n",
"22.806604772\n",
"40.932878530\n",
"15.431837222\n",
"13.498284744\n",
"6.391417301\n",
"6.696832274\n",
"1.281003569\n",
"15.762959591\n",
"14.393872521\n",
"40.353648878\n",
"28.625978686\n",
"34.265139811\n",
"12.746606649\n",
"25.773497710\n",
"2.957885715\n",
"17.825968078\n",
"6.277767530\n",
"5.671808018\n",
"35.652366276\n",
"2.562007137\n",
"8.732472814\n",
"21.465417329\n",
"30.936997583\n",
"2.013897984\n",
"22.096585195\n",
"26.786582096\n",
"33.637267134\n",
"3.028737944\n",
"4.646783762\n",
"17.446065671\n",
"16.818633567\n",
"18.073497774\n",
"39.679732124\n",
"9.416651295\n",
"24.121766089\n",
"1.027512932\n",
"28.214671823\n",
"25.355864080\n",
"1.007549571\n",
"26.482814558\n",
"16.452517122\n",
"15.271733213\n",
"30.263080830\n",
"23.110435360\n",
"43.940231308\n",
"5.100304996\n",
"20.078620984\n",
"32.053945839\n",
"50.228895026\n",
"30.000177100\n",
"26.338754091\n",
"21.318981159\n",
"30.076362059\n",
"9.229932524\n",
"35.621333549\n",
"1.478942858\n",
"38.523859858\n",
"44.691672695\n",
"29.370351197\n",
"26.183809275\n",
"48.673565874\n",
"19.798073629\n",
"36.595152849\n",
"21.786630439\n",
"37.991636937\n",
"9.724397541\n",
"40.200937495\n",
"1.161695941\n",
"6.125726620\n",
"17.741132605\n",
"17.681710751\n",
"1.102274087\n",
"139.888709778\n",
"1.013084386\n",
"38.333229981\n"
]
} | 6AIZU
|
p01770 Arojam's Mask_1457 | Problem statement
You are a hero. The world in which the hero is traveling consists of N cities and M roads connecting different cities. Road i connects town a_i and town b_i and can move in both directions.
The purpose of the brave is to start from town S and move to town T. S and T are different cities. The hero can leave the city on day 0 and travel through a single road in just one day. There is a limited number of days R for traveling on the road, and the R day cannot be exceeded.
The brave can also "blow the ocarina" in any city. When you blow the ocarina, the position is returned to the city S on the 0th day. In other words, if you move more than R times, you must play the ocarina at least once.
In addition, "events" can occur when the brave is located in a city. There are E types of events, and the i-th event occurs in the city c_ {i}. The event will occur automatically when the hero is there, creating a new road connecting the roads a'_i and b'_i. This road does not disappear when you blow the ocarina, and it does not overlap with the road that exists from the beginning or is added by another event. There is at most one event in a town.
Now, the hero's job today is to write a program that finds the minimum sum of the number of moves required to reach the city T and the number of times the ocarina is blown.
input
The input is given in the following format.
N M E S T R
a_ {0} b_ {0}
...
a_ {M−1} b_ {M−1}
a’_ {0} b’_ {0} c_ {0}
...
a’_ {E−1} b’_ {E−1} c_ {E−1}
Constraint
* All inputs are integers
* 2 \ ≤ N \ ≤ 100
* 1 \ ≤ M + E \ ≤ N (N−1) / 2
* 0 \ ≤ E \ ≤ 4
* 0 \ ≤ R \ ≤ 100
* 0 \ ≤ S, T, a_i, b_i, a'_i, b'_i, c_i \ ≤ N−1
* S ≠ T
* a_ {i} ≠ b_ {i}, a'_ {i} ≠ b'_ {i}
* All pairs of a_ {i} and b_ {i}, a’_ {i} and b’_ {i} do not overlap
* If i ≠ j, then c_ {i} ≠ c_ {j}
output
Output the answer in one line. If you cannot reach T by all means, output -1.
sample
Sample input 1
8 5 2 0 5 5
0 1
0 3
0 6
1 2
6 7
3 4 7
4 5 2
Sample output 1
9
For example, it may be moved as follows. Note that the roads (4,5) and (3,4) do not exist until the event occurs.
* If you go to city 2, you will be able to move from 4 to 5.
* Use ocarina to return to 0
* If you go to city 7, you will be able to move from 3 to 4.
* Use ocarina to return to 0
* Go straight from 0 to 5
<image>
Sample input 2
7 5 1 0 6 8
0 1
1 2
twenty three
3 4
4 5
3 6 5
Sample output 2
8
The best route is to never blow the ocarina.
Sample input 3
4 1 4 1 2 3
3 1
3 2 0
0 1 3
0 3 1
0 2 2
Sample output 3
Five
Events may occur in town S.
Example
Input
8 5 2 0 5 5
0 1
0 3
0 6
1 2
6 7
3 4 7
4 5 2
Output
9 | #include<bits/stdc++.h>
#define r(i,n) for(int i=0;i<n;i++)
using namespace std;
typedef pair<int,int>P;
typedef pair<P,P>P2;
int dp[111][111][1<<5];
int n,m,e,s,t,r;
vector<P>v[100000];
signed main(){
r(i,111)r(j,1<<5)r(k,111)dp[i][k][j]=1e9;
cin>>n>>m>>e>>s>>t>>r;
r(i,m){
int a,b;
cin>>a>>b;
v[a].push_back(P(b,-1));
v[b].push_back(P(a,-1));
}
map<int,int>M;
int state=0;
r(i,e){
int a,b,c;
cin>>a>>b>>c;
v[a].push_back(P(b,i));
v[b].push_back(P(a,i));
M[c] = i;
if(c==s)state|=(1<<i);
}
priority_queue<P2,vector<P2>,greater<P2> > q;
q.push(P2(P(0,s),P(r,state))); /// warning
dp[s][r][state]=0;
while(!q.empty()){
P2 PP=q.top();q.pop();
int now=PP.first.second;
int cost=PP.first.first;
int R = PP.second.first;
int S = PP.second.second;
// cout<<cost<<' '<<now<<' '<<R<<' '<<S<<endl;
if(dp[now][R][S] < cost)continue;
// cout<<cost<<' '<<now<<' '<<R<<' '<<S<<endl;
if(R){
r(i,v[now].size()){
int nex = v[now][i].first;
int flag = v[now][i].second;
int f=flag%100;
int nR=R-1;
int nS = S;
if(M.count(nex))nS= (nS|(1<<M[nex]));
if(flag == -1){
if(dp[nex][nR][nS] <= cost+1)continue;
dp[nex][nR][nS] = cost+1;
q.push(P2(P(cost+1,nex),P(nR,nS)));
}
else{
if(!(S&(1<<f)))continue;
if(dp[nex][nR][nS] <= cost+1)continue;
dp[nex][nR][nS] = cost+1;
q.push(P2(P(cost+1,nex),P(nR,nS)));
}
}
}
if(dp[s][r][S] <= cost+1)continue;
dp[s][r][S] = cost+1;
q.push(P2(P(cost+1,s),P(r,S)));
}
int ans= 1e9;
r(i,101)r(j,(1<<5)){
ans=min(ans,dp[t][i][j]);
}
if(ans==1e9)cout<<-1<<endl;
else cout<<ans<<endl;
}
| 2C++
| {
"input": [
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 2\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 2\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 1 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"19 5 3 1 3 5\n0 2\n0 3\n0 5\n1 2\n3 7\n1 4 13\n4 1 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n1 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 5 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 2\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 14\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 14\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n4 7\n1 0 25\n1 5 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 3\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 0 4",
"8 5 2 0 5 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 1\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 4\n0 6\n1 2\n6 7\n1 4 13\n4 5 4",
"9 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 5 13\n1 6 4",
"8 5 4 0 3 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n10 7\n1 4 13\n1 6 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 4\n1 6 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 5 4",
"8 6 2 0 1 10\n0 2\n0 2\n0 1\n1 2\n3 7\n1 0 13\n0 5 4",
"8 6 2 0 1 12\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 15\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 1 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n4 7\n0 0 25\n1 5 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 1 5 5\n0 1\n0 3\n0 3\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 0 4",
"8 5 2 0 2 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 1\n6 7\n1 4 13\n4 5 4",
"11 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 5 21\n1 6 4",
"8 5 4 0 3 5\n0 1\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 6 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n1 6 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 1\n6 7\n1 0 13\n1 5 4",
"8 6 2 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n5 7\n1 1 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n1 4\n0 1\n1 2\n4 7\n0 0 25\n1 5 4",
"8 6 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n1 2\n6 7\n0 4 7\n4 0 4",
"8 5 2 0 2 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 7 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 7\n1 4 13\n4 5 4",
"16 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n6 7\n1 5 21\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 2 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n1 4 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 1\n6 7\n1 0 21\n1 5 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 5 5\n0 1\n0 4\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 4 13\n4 5 4",
"16 5 2 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n6 7\n1 5 21\n0 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 2 6",
"16 5 3 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 21\n1 5 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 6",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 6",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"16 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 21\n0 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 2 6",
"16 5 3 0 1 5\n0 0\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 6\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 9 6",
"8 5 2 0 5 1\n0 1\n1 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 6",
"12 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"19 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 3\n0 6 4",
"8 5 4 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 2 6",
"15 5 2 0 1 10\n0 2\n0 6\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 18 6",
"8 5 2 0 5 1\n0 1\n1 3\n0 6\n2 2\n6 7\n0 4 13\n4 0 6",
"12 5 2 0 3 5\n0 4\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"19 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n3 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 3\n0 10 4",
"8 5 4 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 4 6"
],
"output": [
"9",
"8\n",
"-1\n",
"6\n",
"7\n",
"1\n",
"2\n",
"0\n",
"3\n",
"5\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"6\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p01770 Arojam's Mask_1458 | Problem statement
You are a hero. The world in which the hero is traveling consists of N cities and M roads connecting different cities. Road i connects town a_i and town b_i and can move in both directions.
The purpose of the brave is to start from town S and move to town T. S and T are different cities. The hero can leave the city on day 0 and travel through a single road in just one day. There is a limited number of days R for traveling on the road, and the R day cannot be exceeded.
The brave can also "blow the ocarina" in any city. When you blow the ocarina, the position is returned to the city S on the 0th day. In other words, if you move more than R times, you must play the ocarina at least once.
In addition, "events" can occur when the brave is located in a city. There are E types of events, and the i-th event occurs in the city c_ {i}. The event will occur automatically when the hero is there, creating a new road connecting the roads a'_i and b'_i. This road does not disappear when you blow the ocarina, and it does not overlap with the road that exists from the beginning or is added by another event. There is at most one event in a town.
Now, the hero's job today is to write a program that finds the minimum sum of the number of moves required to reach the city T and the number of times the ocarina is blown.
input
The input is given in the following format.
N M E S T R
a_ {0} b_ {0}
...
a_ {M−1} b_ {M−1}
a’_ {0} b’_ {0} c_ {0}
...
a’_ {E−1} b’_ {E−1} c_ {E−1}
Constraint
* All inputs are integers
* 2 \ ≤ N \ ≤ 100
* 1 \ ≤ M + E \ ≤ N (N−1) / 2
* 0 \ ≤ E \ ≤ 4
* 0 \ ≤ R \ ≤ 100
* 0 \ ≤ S, T, a_i, b_i, a'_i, b'_i, c_i \ ≤ N−1
* S ≠ T
* a_ {i} ≠ b_ {i}, a'_ {i} ≠ b'_ {i}
* All pairs of a_ {i} and b_ {i}, a’_ {i} and b’_ {i} do not overlap
* If i ≠ j, then c_ {i} ≠ c_ {j}
output
Output the answer in one line. If you cannot reach T by all means, output -1.
sample
Sample input 1
8 5 2 0 5 5
0 1
0 3
0 6
1 2
6 7
3 4 7
4 5 2
Sample output 1
9
For example, it may be moved as follows. Note that the roads (4,5) and (3,4) do not exist until the event occurs.
* If you go to city 2, you will be able to move from 4 to 5.
* Use ocarina to return to 0
* If you go to city 7, you will be able to move from 3 to 4.
* Use ocarina to return to 0
* Go straight from 0 to 5
<image>
Sample input 2
7 5 1 0 6 8
0 1
1 2
twenty three
3 4
4 5
3 6 5
Sample output 2
8
The best route is to never blow the ocarina.
Sample input 3
4 1 4 1 2 3
3 1
3 2 0
0 1 3
0 3 1
0 2 2
Sample output 3
Five
Events may occur in town S.
Example
Input
8 5 2 0 5 5
0 1
0 3
0 6
1 2
6 7
3 4 7
4 5 2
Output
9 | from collections import deque
n, m, e, s, t, r = map(int, input().split())
edges = [[] for _ in range(n * 2 ** e)]
for _ in range(m):
a, b = map(int, input().split())
for i in range(2 ** e):
edges[a + n * i].append(b + n * i)
edges[b + n * i].append(a + n * i)
start = s
slide = {}
for i in range(e):
a, b, c = map(int, input().split())
slide[c] = 2 ** i
if c == s:
start = s + n * 2 ** i
mask = 2 ** i
for j in range(2 ** e):
if mask & j:continue
edges[a + n * (mask | j)].append(b + n * (mask | j))
edges[b + n * (mask | j)].append(a + n * (mask | j))
goal = {t + n * i for i in range(2 ** e)}
dist = {}
dist[(start, 0)] = 0
que = deque()
que.append((0, 0, start))
while que:
score, acc, node = que.popleft()
if node in goal:
print(score)
break
level = node // n
if (s + n * level, 0) not in dist:
dist[(s + n * level, 0)] = score + 1
que.append((score + 1, 0, s + n * level))
if acc == r:continue
for to in edges[node]:
if to % n in slide:to = to % n + n * (to // n | slide[to % n])
if (to, acc + 1) not in dist:
dist[(to, acc + 1)] = score + 1
que.append((score + 1, acc + 1, to))
else:
print(-1)
| 3Python3
| {
"input": [
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 2\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 2\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 1 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"19 5 3 1 3 5\n0 2\n0 3\n0 5\n1 2\n3 7\n1 4 13\n4 1 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n1 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 5 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 2\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 14\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 14\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n4 7\n1 0 25\n1 5 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 3\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 0 4",
"8 5 2 0 5 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 1\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 4\n0 6\n1 2\n6 7\n1 4 13\n4 5 4",
"9 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 5 13\n1 6 4",
"8 5 4 0 3 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n10 7\n1 4 13\n1 6 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 4\n1 6 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 5 4",
"8 6 2 0 1 10\n0 2\n0 2\n0 1\n1 2\n3 7\n1 0 13\n0 5 4",
"8 6 2 0 1 12\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 15\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 1 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n4 7\n0 0 25\n1 5 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 1 5 5\n0 1\n0 3\n0 3\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 0 4",
"8 5 2 0 2 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 1\n6 7\n1 4 13\n4 5 4",
"11 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 5 21\n1 6 4",
"8 5 4 0 3 5\n0 1\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 6 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n1 6 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 1\n6 7\n1 0 13\n1 5 4",
"8 6 2 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n5 7\n1 1 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n1 4\n0 1\n1 2\n4 7\n0 0 25\n1 5 4",
"8 6 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n1 2\n6 7\n0 4 7\n4 0 4",
"8 5 2 0 2 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 7 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 7\n1 4 13\n4 5 4",
"16 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n6 7\n1 5 21\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 2 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n1 4 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 1\n6 7\n1 0 21\n1 5 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 5 5\n0 1\n0 4\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 4 13\n4 5 4",
"16 5 2 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n6 7\n1 5 21\n0 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 2 6",
"16 5 3 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 21\n1 5 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 6",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 6",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"16 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 21\n0 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 2 6",
"16 5 3 0 1 5\n0 0\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 6\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 9 6",
"8 5 2 0 5 1\n0 1\n1 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 6",
"12 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"19 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 3\n0 6 4",
"8 5 4 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 2 6",
"15 5 2 0 1 10\n0 2\n0 6\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 18 6",
"8 5 2 0 5 1\n0 1\n1 3\n0 6\n2 2\n6 7\n0 4 13\n4 0 6",
"12 5 2 0 3 5\n0 4\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"19 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n3 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 3\n0 10 4",
"8 5 4 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 4 6"
],
"output": [
"9",
"8\n",
"-1\n",
"6\n",
"7\n",
"1\n",
"2\n",
"0\n",
"3\n",
"5\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"6\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p01770 Arojam's Mask_1459 | Problem statement
You are a hero. The world in which the hero is traveling consists of N cities and M roads connecting different cities. Road i connects town a_i and town b_i and can move in both directions.
The purpose of the brave is to start from town S and move to town T. S and T are different cities. The hero can leave the city on day 0 and travel through a single road in just one day. There is a limited number of days R for traveling on the road, and the R day cannot be exceeded.
The brave can also "blow the ocarina" in any city. When you blow the ocarina, the position is returned to the city S on the 0th day. In other words, if you move more than R times, you must play the ocarina at least once.
In addition, "events" can occur when the brave is located in a city. There are E types of events, and the i-th event occurs in the city c_ {i}. The event will occur automatically when the hero is there, creating a new road connecting the roads a'_i and b'_i. This road does not disappear when you blow the ocarina, and it does not overlap with the road that exists from the beginning or is added by another event. There is at most one event in a town.
Now, the hero's job today is to write a program that finds the minimum sum of the number of moves required to reach the city T and the number of times the ocarina is blown.
input
The input is given in the following format.
N M E S T R
a_ {0} b_ {0}
...
a_ {M−1} b_ {M−1}
a’_ {0} b’_ {0} c_ {0}
...
a’_ {E−1} b’_ {E−1} c_ {E−1}
Constraint
* All inputs are integers
* 2 \ ≤ N \ ≤ 100
* 1 \ ≤ M + E \ ≤ N (N−1) / 2
* 0 \ ≤ E \ ≤ 4
* 0 \ ≤ R \ ≤ 100
* 0 \ ≤ S, T, a_i, b_i, a'_i, b'_i, c_i \ ≤ N−1
* S ≠ T
* a_ {i} ≠ b_ {i}, a'_ {i} ≠ b'_ {i}
* All pairs of a_ {i} and b_ {i}, a’_ {i} and b’_ {i} do not overlap
* If i ≠ j, then c_ {i} ≠ c_ {j}
output
Output the answer in one line. If you cannot reach T by all means, output -1.
sample
Sample input 1
8 5 2 0 5 5
0 1
0 3
0 6
1 2
6 7
3 4 7
4 5 2
Sample output 1
9
For example, it may be moved as follows. Note that the roads (4,5) and (3,4) do not exist until the event occurs.
* If you go to city 2, you will be able to move from 4 to 5.
* Use ocarina to return to 0
* If you go to city 7, you will be able to move from 3 to 4.
* Use ocarina to return to 0
* Go straight from 0 to 5
<image>
Sample input 2
7 5 1 0 6 8
0 1
1 2
twenty three
3 4
4 5
3 6 5
Sample output 2
8
The best route is to never blow the ocarina.
Sample input 3
4 1 4 1 2 3
3 1
3 2 0
0 1 3
0 3 1
0 2 2
Sample output 3
Five
Events may occur in town S.
Example
Input
8 5 2 0 5 5
0 1
0 3
0 6
1 2
6 7
3 4 7
4 5 2
Output
9 | import java.util.PriorityQueue;
import java.util.Scanner;
public class Main {
Scanner in = new Scanner(System.in);
public static void main(String[] args) {
new Main();
}
public Main() {
new RitProE().doIt();
}
class RitProE{
int n,m,e,start,end,days;
boolean[][] map;
int[][] eventMap;
int[] a,b,c;
void doIt(){
n = in.nextInt();
m = in.nextInt();
e = in.nextInt();
start = in.nextInt();
end = in.nextInt();
days = in.nextInt();
map = new boolean[n][n];
a = new int[e];
b = new int[e];
c = new int[e];
for(int i=0;i<m;i++){
int a = in.nextInt();
int b = in.nextInt();
map[a][b] = map[b][a] = true;
}
for(int i=0;i<e;i++){
a[i] = in.nextInt();
b[i] = in.nextInt();
c[i] = in.nextInt();
}
int result = djkstra(start);
System.out.println(result);
}
int djkstra(int v){
PriorityQueue<Data> q = new PriorityQueue<Main.RitProE.Data>();
int bbit = 0;
for(int i=0;i<e;i++)if(c[i] == v){
bbit |= 1 << i;
break;
}
q.add(new Data(v, 0, bbit, 0));
boolean[][][] close = new boolean[n][days+3][1<<8];
while(q.size()>0){
Data d = q.remove();
int d_v = d.v;
int cost = d.cost;
int day = d.day;
int bit = d.bit;
if(days < day)continue;
// System.out.println(" v= "+d_v+" cost= "+cost+" day= "+day+" bit= "+Integer.toBinaryString(bit));
if(d.v == end)return d.cost;
for(int i=0;i<e;i++)if(c[i] == d.v){
bit |= 1 << i;
break;
}
for(int i=0;i<n;i++){//normal mode
if(map[d.v][i]){
Data data = new Data(i, day+1, bit, cost+1);
if (close[data.v][data.day][data.bit])continue;
close[data.v][data.day][data.bit] = true;
q.add(data);
}
}
Data data = new Data(start, 0, bit, cost+1);
if (close[data.v][data.day][data.bit] == false)q.add(data);
close[data.v][data.day][data.bit] = true;
for(int i=0;i<e;i++){
if (((bit >> i) & 1) == 1) {
if(a[i] == d.v){
data = new Data(b[i], day+1, bit, cost+1);
if (close[data.v][data.day][data.bit] == false)q.add(data);
close[data.v][data.day][data.bit] = true;
}else if(b[i] == d.v){
data = new Data(a[i], day+1, bit, cost+1);
if (close[data.v][data.day][data.bit] == false)q.add(data);
close[data.v][data.day][data.bit] = true;
}
}
}
}
return -1;
}
class Data implements Comparable<Data>{
int v,day,bit,cost;
public Data(int v,int day,int bit, int cost){
this.v = v;
this.day = day;
this.bit = bit;
this.cost = cost;
}
public int compareTo(Data o) {
return this.cost-o.cost;
}
}
}
} | 4JAVA
| {
"input": [
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 2\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 2\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 1 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"19 5 3 1 3 5\n0 2\n0 3\n0 5\n1 2\n3 7\n1 4 13\n4 1 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n1 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 5 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 2\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 10\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 14\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 14\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n4 7\n1 0 25\n1 5 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 3\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 5\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 0 4",
"8 5 2 0 5 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 1\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 4\n0 6\n1 2\n6 7\n1 4 13\n4 5 4",
"9 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 5 13\n1 6 4",
"8 5 4 0 3 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n10 7\n1 4 13\n1 6 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 6 4",
"8 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 4\n1 6 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 5 4",
"8 6 2 0 1 10\n0 2\n0 2\n0 1\n1 2\n3 7\n1 0 13\n0 5 4",
"8 6 2 0 1 12\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 15\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 13\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n6 7\n1 1 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n4 7\n0 0 25\n1 5 4",
"8 5 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 1 5 5\n0 1\n0 3\n0 3\n1 2\n6 7\n3 4 7\n4 5 2",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n1 2\n6 7\n1 4 7\n4 0 4",
"8 5 2 0 2 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 5 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 1\n6 7\n1 4 13\n4 5 4",
"11 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 5 21\n1 6 4",
"8 5 4 0 3 5\n0 1\n0 3\n0 1\n1 2\n6 7\n1 4 13\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 6 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 13\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n1 6 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 1\n6 7\n1 0 13\n1 5 4",
"8 6 2 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 1 26\n0 2\n0 4\n0 1\n1 2\n5 7\n1 1 25\n1 5 4",
"8 6 2 0 1 26\n0 2\n1 4\n0 1\n1 2\n4 7\n0 0 25\n1 5 4",
"8 6 2 0 5 5\n0 1\n0 3\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n1 2\n6 7\n0 4 7\n4 0 4",
"8 5 2 0 2 5\n0 2\n0 3\n0 6\n1 2\n6 7\n2 4 7\n4 7 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 7\n1 4 13\n4 5 4",
"16 5 2 0 3 5\n0 2\n0 3\n0 6\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n6 7\n1 5 21\n1 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 2 4",
"16 5 2 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n1 4 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 1\n6 7\n1 0 21\n1 5 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 4",
"8 6 2 0 5 5\n0 1\n0 4\n0 0\n1 2\n6 7\n1 4 7\n4 5 4",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 4",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 4 13\n4 5 4",
"16 5 2 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n6 7\n1 5 21\n0 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n1 2\n10 7\n1 4 13\n1 2 6",
"16 5 3 0 1 5\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 3\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"9 5 2 0 1 10\n0 2\n0 3\n0 1\n1 2\n6 7\n1 0 21\n1 5 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 5 6",
"8 5 2 0 5 1\n0 1\n0 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 6",
"8 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"16 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 21\n0 6 4",
"8 5 2 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 2 6",
"16 5 3 0 1 5\n0 0\n0 3\n0 1\n1 2\n6 7\n1 0 12\n1 7 4",
"8 5 2 0 1 10\n0 2\n0 6\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 9 6",
"8 5 2 0 5 1\n0 1\n1 3\n0 6\n2 2\n6 7\n0 4 7\n4 0 6",
"12 5 2 0 3 5\n0 2\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"19 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n6 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 3\n0 6 4",
"8 5 4 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 2 6",
"15 5 2 0 1 10\n0 2\n0 6\n1 1\n1 2\n6 7\n1 0 4\n2 4 4",
"8 6 3 1 1 17\n0 2\n0 4\n0 1\n1 2\n6 7\n1 0 25\n0 18 6",
"8 5 2 0 5 1\n0 1\n1 3\n0 6\n2 2\n6 7\n0 4 13\n4 0 6",
"12 5 2 0 3 5\n0 4\n0 3\n0 6\n2 1\n6 1\n1 3 13\n4 5 4",
"19 5 3 0 3 5\n0 2\n0 3\n0 5\n1 2\n3 7\n1 4 13\n4 6 4",
"8 5 2 0 3 5\n0 2\n0 6\n0 6\n1 2\n4 7\n1 5 3\n0 10 4",
"8 5 4 0 1 5\n0 2\n0 3\n1 1\n0 2\n10 7\n1 4 13\n1 4 6"
],
"output": [
"9",
"8\n",
"-1\n",
"6\n",
"7\n",
"1\n",
"2\n",
"0\n",
"3\n",
"5\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"6\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"-1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"0\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n"
]
} | 6AIZU
|
p01904 Minimum Enclosing Rectangle_1460 | G: Minimum Enclosing Rectangle-Minimum Enclosing Rectangle-
story
Hello everyone! It's Airi Aiza from the Hachimori Naka Prokon Club. Suddenly, I want everyone to solve the problem that Airi couldn't solve before. I solved the A problem of ICPC2010 in this front activity, but the problem at that time was difficult.
Oh, I have to explain about ICPC! ICPC is an abbreviation for "Intanashi Naru ... Chugakusei ... Progura Mingu ... Kontesu", and when translated into Japanese, it seems to be an international junior high school student competition programming contest! Airi is full of difficult words. Airi and his friends are working hard every day to compete in this world championship!
After returning from club activities, I asked my sister, "Wow, I don't know ... I don't know because of problem A ... I'm disqualified ..." But I was depressed ... But, "Professional" I know where people get together, so I'll contact you for a moment. Airi, ask me there! "He told me about the training camp here. It might be easy for all the "professionals" who gather here, but ... I want you to solve this problem!
problem
There are N squares with a length of 1 on a two-dimensional plane. Find the rectangle with the smallest area that contains all of these N squares.
Input format
The input consists of N lines.
N
n_1 d_1
n_2 d_2
n_3 d_3
...
n_ {N − 1} d_ {N − 1}
The first row is given the number N of squares. Below, the N-1 line shows how to place the square. The i-th line from the top is given one integer n_ {i} and one character d_ {i} separated by blanks. This dictates how to place the i-th square. Here, the squares are numbered with the first square as the 0th square and then numbered 1, 2, ..., N − 1 in the order in which they are placed. There is no instruction on how to place the 0th square. Instructions on how to place the i-th square n_i, d_i indicate that the i-th square should be placed adjacent to the n_i-th square in the direction indicated by d_i. Where n_i is a non-negative integer less than i. In addition, d_i takes any value of 0, 1, 2, and 3, and if the value of d_i is 0, it indicates the left side, if it is 1, it indicates the lower side, if it is 2, it indicates the right side, and if it is 3, it indicates the upper side. The final arrangement of squares corresponding to each input example is shown below. From the left, the final square layout of Input Example 1, Input Example 2, Input Example 3, and Input Example 4. The numbers in the figure correspond to square numbers. The green line in the figure indicates a rectangle with the minimum area to be obtained.
<image>
Constraint
* All inputs are integers
* 1 ≤ N ≤ 100,000
* 1 ≤ n_i <i (1 ≤ i <N)
* 0 ≤ d_i ≤ 3 (1 ≤ i <N)
* No instructions are given to place a new square where it has already been placed.
Output format
Outputs the area of the rectangle with the smallest area that includes all the given N points in one line. The output must not contain more than 10 ^ {-5} error.
Input example 1
1
Output example 1
1
Input example 2
Five
0 0
0 1
0 2
0 3
Output example 2
8
Input example 3
12
0 0
Ten
2 0
3 1
4 1
5 1
6 2
7 2
8 2
9 3
10 3
Output example 3
16
Input example 4
Ten
0 2
1 2
twenty two
3 2
twenty one
5 1
6 1
7 1
8 1
Output example 4
30
Example
Input
1
Output
1 | #include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <functional>
#include <cassert>
typedef long long ll;
using namespace std;
#define debug(x) cerr << #x << " = " << x << endl;
#define mod 1000000007 //1e9+7(prime number)
#define INF 1000000000 //1e9
#define LLINF 2000000000000000000LL //2e18
#define SIZE 100010
/* Point (x,y)*/
struct P{
typedef double Type;
Type x,y;
P(Type X,Type Y){
x = X;
y = Y;
}
bool operator< (const P &B) const{
return x==B.x ? y < B.y : x < B.x;
}
};
/* ConvexHull(??????) */
bool ccw(P &base,P &A,P &B){
//??´???????????????????????????
return (A.x-base.x)*(B.y-base.y) - (A.y-base.y)*(B.x-base.x) >= 0; //double?????? -EPS
//??´?????????????????????
//return (A.x-base.x)*(B.y-base.y) - (A.y-base.y)*(B.x-base.x) > 0; //double?????? EPS
}
vector<P> ConvexHull(vector<P> s){
vector<P> g;
int n = (int)s.size();
if(n<3) return s;
sort(s.begin(),s.end());
for(int i=0;i<n;i++){
for(int m = (int)g.size();m>=2 && ccw(g[m-2],g[m-1],s[i]); m--){
g.pop_back();
}
g.push_back(s[i]);
}
int t = (int)g.size();
for(int i=n-2;i>=0;i--){
for(int m = (int)g.size();m>t && ccw(g[m-2],g[m-1],s[i]); m--){
g.pop_back();
}
g.push_back(s[i]);
}
reverse(g.begin(),g.end());
g.pop_back();
return g;
}
int main(){
int n;
int t[SIZE],d[SIZE];
int y[SIZE],x[SIZE];
bool s[SIZE][4] = {};
vector<P> vec;
scanf("%d",&n);
y[0] = x[0] = 0;
int dx[4] = {-1,0,1,0};
int dy[4] = {0,1,0,-1};
for(int i=1;i<n;i++){
scanf("%d%d",t+i,d+i);
x[i] = x[t[i]]+dx[d[i]];
y[i] = y[t[i]]+dy[d[i]];
s[t[i]][d[i]] = true;
}
for(int i=0;i<n;i++){
vec.push_back(P(y[i],x[i]));
vec.push_back(P(y[i],x[i]+1));
vec.push_back(P(y[i]-1,x[i]+1));
vec.push_back(P(y[i]-1,x[i]));
}
vec = ConvexHull(vec);
double ans = LLINF;
vector<double> theta;
for(int i=0;i<vec.size();i++){
theta.push_back(atan((vec[i].y-vec[(i+1)%vec.size()].y)/(vec[i].x-vec[(i+1)%vec.size()].x)));
}
theta.push_back(0);
theta.push_back(M_PI/2);
for(int i=0;i<theta.size();i++){
double max_y = -INF;
double max_x = -INF;
double min_y = INF;
double min_x = INF;
for(int j=0;j<vec.size();j++){
double x2 = vec[j].y*cos(theta[i])-vec[j].x*sin(theta[i]);
double y2 = vec[j].y*sin(theta[i])+vec[j].x*cos(theta[i]);
max_y = max(max_y,y2);
max_x = max(max_x,x2);
min_y = min(min_y,y2);
min_x = min(min_x,x2);
}
ans = min(ans, (max_y-min_y)*(max_x-min_x));
}
printf("%.10lf\n",ans);
return 0;
} | 2C++
| {
"input": [
"1",
"001",
"001"
],
"output": [
"1",
"1.000000000\n",
"1.000000000\n"
]
} | 6AIZU
|
p01904 Minimum Enclosing Rectangle_1461 | G: Minimum Enclosing Rectangle-Minimum Enclosing Rectangle-
story
Hello everyone! It's Airi Aiza from the Hachimori Naka Prokon Club. Suddenly, I want everyone to solve the problem that Airi couldn't solve before. I solved the A problem of ICPC2010 in this front activity, but the problem at that time was difficult.
Oh, I have to explain about ICPC! ICPC is an abbreviation for "Intanashi Naru ... Chugakusei ... Progura Mingu ... Kontesu", and when translated into Japanese, it seems to be an international junior high school student competition programming contest! Airi is full of difficult words. Airi and his friends are working hard every day to compete in this world championship!
After returning from club activities, I asked my sister, "Wow, I don't know ... I don't know because of problem A ... I'm disqualified ..." But I was depressed ... But, "Professional" I know where people get together, so I'll contact you for a moment. Airi, ask me there! "He told me about the training camp here. It might be easy for all the "professionals" who gather here, but ... I want you to solve this problem!
problem
There are N squares with a length of 1 on a two-dimensional plane. Find the rectangle with the smallest area that contains all of these N squares.
Input format
The input consists of N lines.
N
n_1 d_1
n_2 d_2
n_3 d_3
...
n_ {N − 1} d_ {N − 1}
The first row is given the number N of squares. Below, the N-1 line shows how to place the square. The i-th line from the top is given one integer n_ {i} and one character d_ {i} separated by blanks. This dictates how to place the i-th square. Here, the squares are numbered with the first square as the 0th square and then numbered 1, 2, ..., N − 1 in the order in which they are placed. There is no instruction on how to place the 0th square. Instructions on how to place the i-th square n_i, d_i indicate that the i-th square should be placed adjacent to the n_i-th square in the direction indicated by d_i. Where n_i is a non-negative integer less than i. In addition, d_i takes any value of 0, 1, 2, and 3, and if the value of d_i is 0, it indicates the left side, if it is 1, it indicates the lower side, if it is 2, it indicates the right side, and if it is 3, it indicates the upper side. The final arrangement of squares corresponding to each input example is shown below. From the left, the final square layout of Input Example 1, Input Example 2, Input Example 3, and Input Example 4. The numbers in the figure correspond to square numbers. The green line in the figure indicates a rectangle with the minimum area to be obtained.
<image>
Constraint
* All inputs are integers
* 1 ≤ N ≤ 100,000
* 1 ≤ n_i <i (1 ≤ i <N)
* 0 ≤ d_i ≤ 3 (1 ≤ i <N)
* No instructions are given to place a new square where it has already been placed.
Output format
Outputs the area of the rectangle with the smallest area that includes all the given N points in one line. The output must not contain more than 10 ^ {-5} error.
Input example 1
1
Output example 1
1
Input example 2
Five
0 0
0 1
0 2
0 3
Output example 2
8
Input example 3
12
0 0
Ten
2 0
3 1
4 1
5 1
6 2
7 2
8 2
9 3
10 3
Output example 3
16
Input example 4
Ten
0 2
1 2
twenty two
3 2
twenty one
5 1
6 1
7 1
8 1
Output example 4
30
Example
Input
1
Output
1 | import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;
public class Main {
static int[] D = {1,0,-1,0};
public static void main(String[] args) {
IO io = new IO();
int n = io.nextInt();
int[] sqi = new int[n];
int[] sqj = new int[n];
for(int i=1;i<n;i++) {
int x = io.nextInt();
int d = io.nextInt();
sqi[i] = sqi[x] + D[d];
sqj[i] = sqj[x] + D[d^1];
}
Vector2[] pp = new Vector2[n*4];
for(int i=0;i<n;i++) {
pp[i*4+0] = new Vector2(sqi[i], sqj[i]);
pp[i*4+1] = new Vector2(sqi[i], sqj[i]+1);
pp[i*4+2] = new Vector2(sqi[i]+1, sqj[i]);
pp[i*4+3] = new Vector2(sqi[i]+1, sqj[i]+1);
}
Vector2[] v = Vector2.convexHull(pp);
int m = v.length;
double[] theta = new double[m];
for(int i=0;i<m;i++) {
Vector2 v1 = v[i];
Vector2 v2 = v[(i+1)%m];
theta[i] = Math.atan2(v2.y - v1.y, v2.x - v1.x);
}
Arrays.sort(theta);
double min = Double.POSITIVE_INFINITY;
for(int i=0;i<m;i++) {
double l = theta[i];
double r = i < m - 1 ? theta[i+1] : (theta[0] + Math.PI * 2);
for(int j=0;j<90;j++) {
double x1 = (l * 2 + r) / 3;
double x2 = (l + r * 2) / 3;
if (area(v,x1) < area(v,x2)) {
r = x2;
}else{
l = x1;
}
}
min = Math.min(min, area(v, (r + l) / 2));
}
System.out.println(String.format("%.6f", min));
}
static double area(Vector2[] v, double theta) {
double amax = Double.NEGATIVE_INFINITY;
double amin = Double.POSITIVE_INFINITY;
double bmax = Double.NEGATIVE_INFINITY;
double bmin = Double.POSITIVE_INFINITY;
for(int i=0;i<v.length;i++) {
double cos = Math.cos(theta);
double sin = Math.sin(theta);
double a = v[i].x * cos + v[i].y * sin;
double b = v[i].x * -sin + v[i].y * cos;
amax = Math.max(amax, a);
amin = Math.min(amin, a);
bmax = Math.max(bmax, b);
bmin = Math.min(bmin, b);
}
return (amax - amin) * (bmax - bmin);
}
}
class Vector2 {
long x = 0;
long y = 0;
public Vector2(long x, long y) {
this.x = x;
this.y = y;
}
public long dot(Vector2 v) {
return this.x * v.x + this.y * v.y;
}
public long cross(Vector2 v) {
return this.x * v.y - this.y * v.x;
}
public Vector2 add(Vector2 v) {
return new Vector2(this.x + v.x, this.y + v.y);
}
public Vector2 subtract(Vector2 v) {
return new Vector2(this.x - v.x, this.y - v.y);
}
public Vector2 multiply(long k) {
return new Vector2(k * this.x, k * this.y);
}
public String toString() {
return this.x + " " + this.y;
}
public boolean equals(Object o) {
if (o instanceof Vector2) {
Vector2 v = (Vector2) o;
return x == v.x && y == v.y;
}
return super.equals(o);
}
public static Vector2[] convexHull(Vector2[] p) {
int n = p.length;
int k = 0;
Arrays.sort(p, new LexicographicalComp());
Vector2[] q = new Vector2[n * 2];
for (int i = 0; i < n; q[k++] = p[i++]) {
while (k >= 2 && q[k - 2].subtract(q[k - 1]).cross(q[k - 1].subtract(p[i])) <= 0) {
k--;
}
}
for (int i = n - 2, t = k + 1; i >= 0; q[k++] = p[i--]) {
while (k >= t && q[k - 2].subtract(q[k - 1]).cross(q[k - 1].subtract(p[i])) <= 0) {
k--;
}
}
return Arrays.copyOf(q, k - 1);
}
public static class LexicographicalComp implements Comparator<Vector2> {
public int compare(Vector2 o1, Vector2 o2) {
if (o1.x != o2.x) {
return Long.compare(o1.x, o2.x);
}
return Long.compare(o1.y, o2.y);
}
}
}
class IO extends PrintWriter {
private final InputStream in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
public IO() { this(System.in);}
public IO(InputStream source) { super(System.out); this.in = source;}
private boolean hasNextByte() {
if (ptr < buflen) {
return true;
}else{
ptr = 0;
try {
buflen = in.read(buffer);
} catch (IOException e) {
e.printStackTrace();
}
if (buflen <= 0) {
return false;
}
}
return true;
}
private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
private static boolean isNewLine(int c) { return c == '\n' || c == '\r';}
public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
public boolean hasNextLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++; return hasNextByte();}
public String next() {
if (!hasNext()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
int b = readByte();
while(isPrintableChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public char[] nextCharArray(int len) {
if (!hasNext()) {
throw new NoSuchElementException();
}
char[] s = new char[len];
int i = 0;
int b = readByte();
while(isPrintableChar(b)) {
if (i == len) {
throw new InputMismatchException();
}
s[i++] = (char) b;
b = readByte();
}
return s;
}
public String nextLine() {
if (!hasNextLine()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
int b = readByte();
while(!isNewLine(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public long nextLong() {
if (!hasNext()) {
throw new NoSuchElementException();
}
long n = 0;
boolean minus = false;
int b = readByte();
if (b == '-') {
minus = true;
b = readByte();
}
if (b < '0' || '9' < b) {
throw new NumberFormatException();
}
while(true){
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
}else if(b == -1 || !isPrintableChar(b)){
return minus ? -n : n;
}else{
throw new NumberFormatException();
}
b = readByte();
}
}
public int nextInt() {
long nl = nextLong();
if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
throw new NumberFormatException();
}
return (int) nl;
}
public char nextChar() {
if (!hasNext()) {
throw new NoSuchElementException();
}
return (char) readByte();
}
public double nextDouble() { return Double.parseDouble(next());}
public int[] nextIntArray(int n) { int[] a = new int[n]; for(int i=0;i<n;i++) a[i] = nextInt(); return a;}
public long[] nextLongArray(int n) { long[] a = new long[n]; for(int i=0;i<n;i++) a[i] = nextLong(); return a;}
public double[] nextDoubleArray(int n) { double[] a = new double[n]; for(int i=0;i<n;i++) a[i] = nextDouble(); return a;}
public void nextIntArrays(int[]... a) { for(int i=0;i<a[0].length;i++) for(int j=0;j<a.length;j++) a[j][i] = nextInt();}
public int[][] nextIntMatrix(int n,int m) { int[][] a = new int[n][]; for(int i=0;i<n;i++) a[i] = nextIntArray(m); return a;}
public char[][] nextCharMap(int n,int m) { char[][] a = new char[n][]; for(int i=0;i<n;i++) a[i] = nextCharArray(m); return a;}
public void close() { super.close(); try {in.close();} catch (IOException e) {}}
} | 4JAVA
| {
"input": [
"1",
"001",
"001"
],
"output": [
"1",
"1.000000000\n",
"1.000000000\n"
]
} | 6AIZU
|
p02042 ABSum_1462 | problem
Given a sequence $ A $ of length $ N $. You can swap the $ i $ th and $ j $ th ($ 0 \ leq i, j \ leq N-1 $) elements of a sequence up to $ M $ times.
Find the maximum value of $ \ sum_ {i = 0} ^ {N -1} abs (A_i --i) $ in the sequence created by the operation.
output
Find the maximum value of $ \ sum_ {i = 0} ^ {N --1} abs (A_i --i) $ in the sequence created by the operation. Also, output a line feed at the end.
Example
Input
5 2
0 3 2 1 4
Output
12 | #include<iomanip>
#include<limits>
#include<thread>
#include<utility>
#include<iostream>
#include<string>
#include<algorithm>
#include<set>
#include<map>
#include<vector>
#include<stack>
#include<queue>
#include<cmath>
#include<numeric>
#include<cassert>
#include<random>
#include<chrono>
#include<unordered_set>
#include<unordered_map>
#include<fstream>
#include<list>
#include<functional>
#include<bitset>
#include<complex>
#include<tuple>
using namespace std;
typedef unsigned long long int ull;
typedef long long int ll;
typedef pair<ll,ll> pll;
typedef pair<int,int> pi;
typedef pair<double,double> pd;
typedef pair<double,ll> pdl;
#define F first
#define S second
const ll E=1e18+7;
const ll MOD=1000000007;
int main(){
ll n,m;
cin>>n>>m;
vector<ll> a(n);
priority_queue<ll> Q;
priority_queue<ll,vector<ll>,greater<ll>> Q2;
ll ans=0;
for(ll i=0;i<n;i++){cin>>a[i]; ans+=abs(a[i]-i); Q.push(min(a[i],i)); Q2.push(max(a[i],i));}
while(m--){
ans+=max((Q.top()-Q2.top())<<1,0LL);
Q.pop(); Q2.pop();
}
cout<<ans<<endl;
return 0;
}
| 2C++
| {
"input": [
"5 2\n0 3 2 1 4",
"5 2\n0 1 2 1 4",
"5 2\n0 1 0 1 0",
"5 2\n0 1 0 1 -1",
"5 3\n-1 1 0 2 -1",
"2 2\n0 1 2 1 4",
"1 2\n0 1 0 1 0",
"4 3\n0 1 0 2 -1",
"2 3\n-1 1 0 2 -1",
"2 3\n-2 1 0 2 -1",
"5 2\n0 0 4 1 4",
"5 2\n0 0 4 2 4",
"2 3\n0 0 -1 2 -1",
"9 1\n1 0 4 2 0",
"9 1\n1 1 4 2 0",
"9 1\n0 1 7 2 0",
"4 2\n0 1 1 1 0",
"4 2\n-1 1 1 1 0",
"5 0\n-2 1 1 2 -1",
"4 1\n1 1 6 2 0",
"5 0\n-3 2 4 0 -4",
"5 0\n-3 3 4 0 -4",
"5 2\n1 0 2 1 8",
"9 1\n0 2 4 2 0",
"18 1\n0 1 7 2 0",
"7 1\n0 1 7 2 0",
"8 0\n0 1 0 1 0",
"5 0\n-3 3 4 0 -6",
"8 2\n1 0 4 2 0",
"18 1\n0 0 7 2 0",
"5 0\n-3 4 4 0 -6",
"9 1\n0 0 5 2 0",
"18 1\n0 -1 7 2 0",
"12 1\n0 -1 7 2 0",
"5 0\n0 4 4 -1 -6",
"13 2\n0 1 -2 2 0",
"7 4\n-1 0 1 0 0",
"9 2\n0 0 5 3 0",
"13 2\n0 1 -3 2 0",
"7 4\n-1 0 1 1 0",
"15 1\n0 4 8 -1 0",
"5 2\n0 1 0 1 4",
"5 3\n0 1 0 1 -1",
"5 3\n0 1 0 2 -1",
"5 2\n0 0 2 1 4",
"2 2\n0 1 0 1 -1",
"5 3\n0 1 0 1 0",
"5 2\n1 0 2 1 4",
"2 2\n0 1 3 1 4",
"1 2\n0 1 0 1 1",
"2 2\n0 2 0 1 -1",
"5 3\n-1 1 0 1 0",
"2 2\n0 2 1 1 -1",
"5 3\n-2 1 0 1 0",
"2 3\n-2 1 -1 2 -1",
"2 2\n0 2 1 2 -1",
"5 3\n-2 1 1 1 0",
"2 3\n-2 0 -1 2 -1",
"5 2\n0 0 4 2 1",
"2 2\n0 2 1 4 -1",
"5 3\n-1 1 1 1 0",
"5 2\n0 0 4 2 0",
"2 1\n0 2 1 4 -1",
"5 3\n-1 1 2 1 0",
"2 3\n0 1 -1 2 -1",
"5 2\n1 0 4 2 0",
"2 2\n0 0 1 4 -1",
"5 3\n-1 1 4 1 0",
"2 3\n1 1 -1 2 -1",
"5 1\n1 0 4 2 0",
"2 2\n0 0 1 0 -1",
"5 5\n-1 1 4 1 0",
"2 2\n0 0 1 0 0",
"5 5\n-1 1 4 1 -1",
"2 2\n0 0 1 1 0",
"5 5\n-2 1 4 1 -1",
"9 1\n0 1 4 2 0",
"2 2\n0 1 1 1 0",
"5 0\n-2 1 4 1 -1",
"5 0\n-2 1 1 1 -1",
"4 1\n0 1 7 2 0",
"4 1\n0 1 6 2 0",
"4 2\n-1 1 2 1 0",
"4 0\n-1 1 2 1 0",
"4 1\n1 1 5 2 0",
"4 0\n-1 1 0 1 0",
"4 1\n0 1 5 2 0",
"4 0\n0 1 0 1 0",
"4 1\n0 1 5 2 -1",
"4 0\n0 1 1 1 0",
"4 1\n0 1 5 0 -1",
"4 0\n0 1 1 1 1",
"4 1\n0 1 8 0 -1",
"5 0\n0 1 1 1 1",
"2 1\n0 1 8 0 -1",
"2 1\n-1 1 8 0 -1",
"2 1\n-1 1 8 0 -2",
"2 1\n-1 1 8 1 -2",
"2 1\n-1 1 4 0 -2",
"2 1\n-2 1 4 0 -2",
"2 0\n-2 1 4 0 -2"
],
"output": [
"12",
"12\n",
"10\n",
"11\n",
"13\n",
"2\n",
"0\n",
"7\n",
"3\n",
"4\n",
"15\n",
"14\n",
"1\n",
"37\n",
"36\n",
"40\n",
"5\n",
"6\n",
"9\n",
"8\n",
"17\n",
"18\n",
"16\n",
"38\n",
"157\n",
"25\n",
"26\n",
"20\n",
"31\n",
"158\n",
"21\n",
"39\n",
"159\n",
"72\n",
"19\n",
"81\n",
"23\n",
"42\n",
"82\n",
"22\n",
"116\n",
"12\n",
"11\n",
"12\n",
"13\n",
"2\n",
"10\n",
"12\n",
"2\n",
"0\n",
"3\n",
"11\n",
"3\n",
"12\n",
"4\n",
"3\n",
"11\n",
"3\n",
"13\n",
"3\n",
"10\n",
"14\n",
"3\n",
"11\n",
"2\n",
"13\n",
"1\n",
"13\n",
"1\n",
"11\n",
"1\n",
"13\n",
"1\n",
"14\n",
"1\n",
"15\n",
"37\n",
"2\n",
"11\n",
"10\n",
"10\n",
"9\n",
"7\n",
"3\n",
"7\n",
"5\n",
"8\n",
"4\n",
"8\n",
"3\n",
"10\n",
"3\n",
"13\n",
"6\n",
"2\n",
"3\n",
"3\n",
"3\n",
"3\n",
"4\n",
"2\n"
]
} | 6AIZU
|
p02185 Many Decimal Integers_1463 | D: Many Decimal Integers
problem
Given a string S consisting only of numbers (0-9) and a string T consisting only of numbers and `?`. S and T are the same length.
Consider changing each `?` That exists in T to one of the numbers from 0 to 9 to create the string T'consisting of only numbers. At this time, it must be f (T') \ leq f (S). Where f (t) is a function that returns an integer value when the string t is read as a decimal number. Also, the number in the most significant digit of T'may be 0.
For all possible strings T', find the remainder of the sum of the values of f (T') divided by 10 ^ 9 + 7. If there is no T'that meets the conditions, answer 0.
Input format
S
T
Constraint
* 1 \ leq | S | = | T | \ leq 2 \ times 10 ^ 5
* S is a string consisting only of numbers (0 to 9)
* T is a string consisting only of numbers and `?`
Output format
Divide the sum of T's that satisfy the condition by 10 ^ 9 + 7 and output the remainder on one line.
Input example 1
73
6?
Output example 1
645
There are 10 possible strings for T', from 60 to 69. The sum of these is 645.
Input example 2
42
? 1
Output example 2
105
The number in the most significant digit of T'can be 0, so 01 also satisfies the condition.
Input example 3
1730597319
16 ?? 35 ?? 8?
Output example 3
502295105
Find the remainder divided by 10 ^ 9 + 7.
Example
Input
73
6?
Output
645 | #include <bits/stdc++.h>
using namespace std;
const int MOD=1e9+7;
//const int MOD=998244353;
const int INF=1e9;
const long long LINF=1e18;
#define int long long
//template
template <typename T>
void fin(T a){
cout<<a<<endl;
exit(0);
}
int pw(int n,int k){
if(k<0)return pw(n,k+MOD-1);
int res=1;
while(k){
if(k&1)res*=n;
res%=MOD;
n*=n;n%=MOD;
k>>=1;
}
return res;
}
//main
signed main(){
string s,t;cin>>s>>t;
int N=s.size();
std::vector<int> v(223456),a(223456);
std::vector<int> w(11);
w[0]=0;
for(int i=1;i<=10;i++)w[i]=w[i-1]+i;
reverse(t.begin(),t.end());
a[0]=1;
for(int i=0;i<N;i++){
if(t[i]=='?')a[i+1]=a[i]*10%MOD;
else a[i+1]=a[i];
a[i+1]%=MOD;
}
v[0]=0;
int now=1;
for(int i=0;i<N;i++){
if(t[i]=='?')v[i+1]=v[i]*10%MOD+w[9]*now%MOD*a[i];
else v[i+1]=v[i]*1+(t[i]-'0')*now%MOD*a[i]%MOD;
now*=10;now%=MOD;
v[i+1]%=MOD;
}
reverse(t.begin(),t.end());
int gyaku=pw(10,MOD-2);
now=pw(10,N-1);
int ans=0,res=0,flg=0;
for(int i=0;i<N;i++){
//cout<<i<<" "<<ans<<endl;
int j=s[i]-'0';
//cout<<i<<" "<<j<<endl;
if(t[i]=='?'){
if(j>0){
ans+=res*j%MOD*a[N-i-1]%MOD;
ans+=w[j-1]*now%MOD*a[N-i-1]%MOD;
ans+=v[N-i-1]*j%MOD;
ans%=MOD;
}
res+=j*now%MOD;
res%=MOD;
now*=gyaku;
now%=MOD;
continue;
}
if(s[i]<t[i]){
flg=1;
break;
}
if(s[i]>t[i]){
ans+=res*a[N-i-1];
ans+=(t[i]-'0')*now%MOD*a[N-i-1]%MOD;
ans+=v[N-i-1];
ans%=MOD;
flg=1;
break;
}
assert(s[i]==t[i]);
res+=j*now%MOD;
res%=MOD;
now*=gyaku;
now%=MOD;
}
if(!flg) ans+=res;
ans%=MOD;
//for(int i=0;i<5;i++)cout<<v[i]<<" ";cout<<endl;
//for(int i=0;i<5;i++)cout<<a[i]<<" ";cout<<endl;
fin(ans);
}
| 2C++
| {
"input": [
"73\n6?",
"73\n?6",
"73\n@6",
"73\n5?",
"73\n?5",
"73\n4?",
"73\n?4",
"73\n?8",
"73\n?7",
"73\n7?",
"73\n?3",
"73\n3?",
"73\n?9",
"73\n?2",
"73\n70",
"73\n1?",
"73\n27",
"73\n?1",
"73\n49",
"73\n72",
"73\n59",
"73\n?0",
"73\n69",
"73\n21",
"73\n11",
"73\n64",
"73\n54",
"73\n??",
"73\n10",
"73\n48",
"73\n29",
"73\n58",
"73\n51",
"73\n22",
"73\n16",
"73\n36",
"73\n20",
"73\n37",
"73\n35",
"73\n44",
"73\n65",
"73\n62",
"73\n15",
"73\n12",
"73\n56",
"73\n40",
"73\n41",
"73\n67",
"73\n25",
"73\n39",
"73\n42",
"73\n0?",
"73\n14",
"73\n18",
"73\n24",
"73\n61",
"73\n17",
"73\n26",
"73\n38",
"73\n19",
"73\n31",
"73\n57",
"73\n47",
"73\n71",
"73\n32",
"73\n34",
"73\n28",
"73\n@7",
"73\n>5",
"73\nA7",
"73\n7A",
"73\n@4",
"73\n8A",
"73\n8@",
"73\n7@",
"73\n@8",
"73\n8?",
"73\n>7",
"73\n=7",
"73\n7=",
"73\n<7",
"73\n7<",
"73\n<6",
"73\nA8",
"73\n7>",
"73\n9@",
"73\n:@",
"73\n@5",
"73\n8B",
"73\n9A",
"73\n8>",
"73\n@9",
"73\n>8",
"73\n9>",
"73\n=8",
"73\n>6",
"73\n8=",
"73\n8<",
"73\n<5",
"73\n=6",
"73\n>3"
],
"output": [
"645",
"252\n",
"0\n",
"545\n",
"245\n",
"445\n",
"238\n",
"266\n",
"259\n",
"286\n",
"304\n",
"345\n",
"273\n",
"296\n",
"70\n",
"145\n",
"27\n",
"288\n",
"49\n",
"72\n",
"59\n",
"280\n",
"69\n",
"21\n",
"11\n",
"64\n",
"54\n",
"2701\n",
"10\n",
"48\n",
"29\n",
"58\n",
"51\n",
"22\n",
"16\n",
"36\n",
"20\n",
"37\n",
"35\n",
"44\n",
"65\n",
"62\n",
"15\n",
"12\n",
"56\n",
"40\n",
"41\n",
"67\n",
"25\n",
"39\n",
"42\n",
"45\n",
"14\n",
"18\n",
"24\n",
"61\n",
"17\n",
"26\n",
"38\n",
"19\n",
"31\n",
"57\n",
"47\n",
"71\n",
"32\n",
"34\n",
"28\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 6AIZU
|
p02185 Many Decimal Integers_1464 | D: Many Decimal Integers
problem
Given a string S consisting only of numbers (0-9) and a string T consisting only of numbers and `?`. S and T are the same length.
Consider changing each `?` That exists in T to one of the numbers from 0 to 9 to create the string T'consisting of only numbers. At this time, it must be f (T') \ leq f (S). Where f (t) is a function that returns an integer value when the string t is read as a decimal number. Also, the number in the most significant digit of T'may be 0.
For all possible strings T', find the remainder of the sum of the values of f (T') divided by 10 ^ 9 + 7. If there is no T'that meets the conditions, answer 0.
Input format
S
T
Constraint
* 1 \ leq | S | = | T | \ leq 2 \ times 10 ^ 5
* S is a string consisting only of numbers (0 to 9)
* T is a string consisting only of numbers and `?`
Output format
Divide the sum of T's that satisfy the condition by 10 ^ 9 + 7 and output the remainder on one line.
Input example 1
73
6?
Output example 1
645
There are 10 possible strings for T', from 60 to 69. The sum of these is 645.
Input example 2
42
? 1
Output example 2
105
The number in the most significant digit of T'can be 0, so 01 also satisfies the condition.
Input example 3
1730597319
16 ?? 35 ?? 8?
Output example 3
502295105
Find the remainder divided by 10 ^ 9 + 7.
Example
Input
73
6?
Output
645 | #!usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS():return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == "\n":
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
s = list(map(int, input()))
t = list(input())
n = len(t)
for i in range(n):
if t[i].isdecimal():
t[i] = int(t[i])
dp = [[[0]*2 for j in range(2)] for i in range(n+1)]
dp[0][0] = [1,0]
p = [pow(10,i,mod) for i in range(n)]
for i in range(n):
ni = i+1
for j in range(2):
if t[i] == "?":
x = 9 if j else s[i]
for d in range(x+1):
nj = j|(d < s[i])
dp[ni][nj][0] += dp[i][j][0]
dp[ni][nj][1] += dp[i][j][0]*d+10*dp[i][j][1]
dp[ni][nj][0] %= mod
dp[ni][nj][1] %= mod
else:
d = t[i]
nj = j|(d < s[i])
if d <= s[i]:
dp[ni][nj][0] += dp[i][j][0]
dp[ni][nj][1] += dp[i][j][0]*d+10*dp[i][j][1]
dp[ni][nj][0] %= mod
dp[ni][nj][1] %= mod
else:
if nj:
dp[ni][nj][0] += dp[i][j][0]
dp[ni][nj][1] += dp[i][j][0]*d+10*dp[i][j][1]
dp[ni][nj][0] %= mod
dp[ni][nj][1] %= mod
print((dp[-1][0][1]+dp[-1][1][1])%mod)
return
if __name__ == "__main__":
solve()
| 3Python3
| {
"input": [
"73\n6?",
"73\n?6",
"73\n@6",
"73\n5?",
"73\n?5",
"73\n4?",
"73\n?4",
"73\n?8",
"73\n?7",
"73\n7?",
"73\n?3",
"73\n3?",
"73\n?9",
"73\n?2",
"73\n70",
"73\n1?",
"73\n27",
"73\n?1",
"73\n49",
"73\n72",
"73\n59",
"73\n?0",
"73\n69",
"73\n21",
"73\n11",
"73\n64",
"73\n54",
"73\n??",
"73\n10",
"73\n48",
"73\n29",
"73\n58",
"73\n51",
"73\n22",
"73\n16",
"73\n36",
"73\n20",
"73\n37",
"73\n35",
"73\n44",
"73\n65",
"73\n62",
"73\n15",
"73\n12",
"73\n56",
"73\n40",
"73\n41",
"73\n67",
"73\n25",
"73\n39",
"73\n42",
"73\n0?",
"73\n14",
"73\n18",
"73\n24",
"73\n61",
"73\n17",
"73\n26",
"73\n38",
"73\n19",
"73\n31",
"73\n57",
"73\n47",
"73\n71",
"73\n32",
"73\n34",
"73\n28",
"73\n@7",
"73\n>5",
"73\nA7",
"73\n7A",
"73\n@4",
"73\n8A",
"73\n8@",
"73\n7@",
"73\n@8",
"73\n8?",
"73\n>7",
"73\n=7",
"73\n7=",
"73\n<7",
"73\n7<",
"73\n<6",
"73\nA8",
"73\n7>",
"73\n9@",
"73\n:@",
"73\n@5",
"73\n8B",
"73\n9A",
"73\n8>",
"73\n@9",
"73\n>8",
"73\n9>",
"73\n=8",
"73\n>6",
"73\n8=",
"73\n8<",
"73\n<5",
"73\n=6",
"73\n>3"
],
"output": [
"645",
"252\n",
"0\n",
"545\n",
"245\n",
"445\n",
"238\n",
"266\n",
"259\n",
"286\n",
"304\n",
"345\n",
"273\n",
"296\n",
"70\n",
"145\n",
"27\n",
"288\n",
"49\n",
"72\n",
"59\n",
"280\n",
"69\n",
"21\n",
"11\n",
"64\n",
"54\n",
"2701\n",
"10\n",
"48\n",
"29\n",
"58\n",
"51\n",
"22\n",
"16\n",
"36\n",
"20\n",
"37\n",
"35\n",
"44\n",
"65\n",
"62\n",
"15\n",
"12\n",
"56\n",
"40\n",
"41\n",
"67\n",
"25\n",
"39\n",
"42\n",
"45\n",
"14\n",
"18\n",
"24\n",
"61\n",
"17\n",
"26\n",
"38\n",
"19\n",
"31\n",
"57\n",
"47\n",
"71\n",
"32\n",
"34\n",
"28\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 6AIZU
|
p02327 Largest Rectangle_1465 | Given a matrix (H × W) which contains only 1 and 0, find the area of the largest rectangle which only contains 0s.
Constraints
* 1 ≤ H, W ≤ 1,400
Input
H W
c1,1 c1,2 ... c1,W
c2,1 c2,2 ... c2,W
:
cH,1 cH,2 ... cH,W
In the first line, two integers H and W separated by a space character are given. In the following H lines, ci,j, elements of the H × W matrix, are given.
Output
Print the area (the number of 0s) of the largest rectangle.
Example
Input
4 5
0 0 1 0 0
1 0 0 0 0
0 0 0 1 0
0 0 0 1 0
Output
6 | h, w = map(int, raw_input().split())
c = [map(int, raw_input().split()) for i in xrange(h)]
cnt = [[0]*w for i in xrange(h)]
for j in xrange(w):
seq = 0
for i in xrange(h):
if c[i][j] == 0:
seq += 1
else:
seq = 0
cnt[i][j] = seq
ans = 0
st = [(0, -1)]
for i in xrange(h):
for j in xrange(w):
v = cnt[i][j]
last = j
while v < st[-1][0]:
l, k = st.pop()
last = k
ans = max(ans, l*(j-k))
if st[-1][0] < v:
st.append((v, last))
while 0 < st[-1][0]:
l, k = st.pop()
ans = max(ans, l*(w-k))
print ans | 1Python2
| {
"input": [
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"4 5\n1 0 1 1 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 0 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 0 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n0 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 -1 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"4 5\n0 0 1 1 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 0 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 -1 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n-1 0 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 1",
"1 3\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 -1 0\n0 0 0 1 0",
"1 3\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 1 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 0 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 0 1 0 1\n2 1 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 1",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 0 1 0 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n3 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n-1 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 1 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -1\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 2 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 -1 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n1 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 1 0 1"
],
"output": [
"6",
"8\n",
"6\n",
"2\n",
"0\n",
"1\n",
"4\n",
"10\n",
"9\n",
"3\n",
"5\n",
"8\n",
"6\n",
"6\n",
"8\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"8\n",
"6\n",
"6\n",
"0\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"1\n",
"2\n",
"1\n",
"2\n",
"2\n",
"2\n",
"2\n",
"6\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"0\n",
"2\n",
"1\n",
"2\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n"
]
} | 6AIZU
|
p02327 Largest Rectangle_1466 | Given a matrix (H × W) which contains only 1 and 0, find the area of the largest rectangle which only contains 0s.
Constraints
* 1 ≤ H, W ≤ 1,400
Input
H W
c1,1 c1,2 ... c1,W
c2,1 c2,2 ... c2,W
:
cH,1 cH,2 ... cH,W
In the first line, two integers H and W separated by a space character are given. In the following H lines, ci,j, elements of the H × W matrix, are given.
Output
Print the area (the number of 0s) of the largest rectangle.
Example
Input
4 5
0 0 1 0 0
1 0 0 0 0
0 0 0 1 0
0 0 0 1 0
Output
6 | #include<bits/stdc++.h>
const static int MAX = 1400;
int H, W;
int buffer[MAX][MAX];
int T[MAX][MAX];
struct Rectangle{
int height;
int pos;
};
int getLargestRectangle(int size, int buffer[]){
std::stack<Rectangle> S;
int maxv = 0;
buffer[size] = 0;
for(int i = 0; i <= size; i++){
Rectangle rect;
rect.height = buffer[i];
rect.pos = i;
if( S.empty() ){
S.push(rect);
}else{
if(S.top().height < rect.height){
S.push(rect);
}else if(S.top().height > rect.height){
int target = i;
while(!S.empty() && S.top().height >= rect.height){
Rectangle pre = S.top(); S.pop();
int area = pre.height * (i - pre.pos);
maxv = std::max(maxv, area);
target = pre.pos;
}
rect.pos = target;
S.push(rect);
}
}
}
return maxv;
}
int getLargestRectangle(){
for(int j = 0; j < W; j++){
for(int i = 0; i < H; i++){
if(buffer[i][j]){
T[i][j] = 0;
}else{
T[i][j] = (i > 0) ? T[i-1][j] + 1 : 1;
}
}
}
int maxv = 0;
for(int i = 0; i < H; i++){
maxv = std::max( maxv, getLargestRectangle(W, T[i]) );
}
return maxv;
}
int main(void){
scanf("%d %d", &H, &W);
for(int i = 0; i < H; i++){
for(int j = 0; j < W; j++){
scanf("%d", &buffer[i][j]);
}
}
std::cout << getLargestRectangle() << std::endl;
return 0;
}
| 2C++
| {
"input": [
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"4 5\n1 0 1 1 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 0 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 0 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n0 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 -1 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"4 5\n0 0 1 1 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 0 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 -1 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n-1 0 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 1",
"1 3\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 -1 0\n0 0 0 1 0",
"1 3\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 1 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 0 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 0 1 0 1\n2 1 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 1",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 0 1 0 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n3 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n-1 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 1 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -1\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 2 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 -1 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n1 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 1 0 1"
],
"output": [
"6",
"8\n",
"6\n",
"2\n",
"0\n",
"1\n",
"4\n",
"10\n",
"9\n",
"3\n",
"5\n",
"8\n",
"6\n",
"6\n",
"8\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"8\n",
"6\n",
"6\n",
"0\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"1\n",
"2\n",
"1\n",
"2\n",
"2\n",
"2\n",
"2\n",
"6\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"0\n",
"2\n",
"1\n",
"2\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n"
]
} | 6AIZU
|
p02327 Largest Rectangle_1467 | Given a matrix (H × W) which contains only 1 and 0, find the area of the largest rectangle which only contains 0s.
Constraints
* 1 ≤ H, W ≤ 1,400
Input
H W
c1,1 c1,2 ... c1,W
c2,1 c2,2 ... c2,W
:
cH,1 cH,2 ... cH,W
In the first line, two integers H and W separated by a space character are given. In the following H lines, ci,j, elements of the H × W matrix, are given.
Output
Print the area (the number of 0s) of the largest rectangle.
Example
Input
4 5
0 0 1 0 0
1 0 0 0 0
0 0 0 1 0
0 0 0 1 0
Output
6 | H, W = map(int, input().split())
height = W * [0]
max_area = 0
for _ in range(H):
height = [0 if t else height[j]+1 for j, t in enumerate(map(int, input().split()))]
height.append(0)
stack = []
for i, h in enumerate(height):
if stack:
if stack[-1][1] == h:
continue
elif stack[-1][1] > h:
while stack and (stack[-1][1] >= h):
i_stack, h_stack = stack.pop()
max_area = max(max_area, (i - i_stack) * (h_stack))
i = i_stack
stack.append((i, h))
print(max_area)
| 3Python3
| {
"input": [
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"4 5\n1 0 1 1 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 0 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 0 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n0 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 -1 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"4 5\n0 0 1 1 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 0 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 -1 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n-1 0 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 1",
"1 3\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 -1 0\n0 0 0 1 0",
"1 3\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 1 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 0 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 0 1 0 1\n2 1 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 1",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 0 1 0 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n3 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n-1 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 1 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -1\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 2 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 -1 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n1 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 1 0 1"
],
"output": [
"6",
"8\n",
"6\n",
"2\n",
"0\n",
"1\n",
"4\n",
"10\n",
"9\n",
"3\n",
"5\n",
"8\n",
"6\n",
"6\n",
"8\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"8\n",
"6\n",
"6\n",
"0\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"1\n",
"2\n",
"1\n",
"2\n",
"2\n",
"2\n",
"2\n",
"6\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"0\n",
"2\n",
"1\n",
"2\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n"
]
} | 6AIZU
|
p02327 Largest Rectangle_1468 | Given a matrix (H × W) which contains only 1 and 0, find the area of the largest rectangle which only contains 0s.
Constraints
* 1 ≤ H, W ≤ 1,400
Input
H W
c1,1 c1,2 ... c1,W
c2,1 c2,2 ... c2,W
:
cH,1 cH,2 ... cH,W
In the first line, two integers H and W separated by a space character are given. In the following H lines, ci,j, elements of the H × W matrix, are given.
Output
Print the area (the number of 0s) of the largest rectangle.
Example
Input
4 5
0 0 1 0 0
1 0 0 0 0
0 0 0 1 0
0 0 0 1 0
Output
6 | import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.LinkedList;
import java.util.Scanner;
public class Main {
static boolean debug = false;
public static void main(String[] args) throws IOException {
UserScanner scan = new UserScanner(System.in);
PrintWriter pwriter = new PrintWriter(System.out);
int h = scan.nextInt();
int w = scan.nextInt();
Rectangle rg = new Rectangle(h, w, debug);
for (int i = 0; i < h; i++)
for (int j = 0; j < w; j++)
rg.addTile(i, j, scan.nextInt());
pwriter.println(rg.getMaxRect());
pwriter.flush();
scan.close();
System.exit(0);
}
}
class Rectangle {
boolean debug;
int[][] maxh;
int tableLast = -1;
int[] rectangleHeight;
int[] rectangleLeft;
int maxArea = 0;
public Rectangle(int h, int w, boolean debug) {
this.debug = debug;
maxh = new int[h][w];
rectangleHeight = new int[Math.min(h, w)];
rectangleLeft = new int[Math.min(h, w)];
}
public int getMaxRect() {
setMaxh(); // set the number of upper continues clear tile
for (int h = maxh.length - 1; h >= 0; h--)
if ((h + 1) * maxh[0].length > maxArea)
// not need to check, if already found larger rectangle
getMaxArea(h);
return maxArea;
}
private void getMaxArea(int line) {
// get max rectangle which lower edge is on the line
tableLast = -1;
// Calculate by width
for (int w = 0; w < maxh[0].length; w++)
addBar(maxh[line][w], w);
// Calculate the rectangle area which right edge is terminated on border
addBar(0, maxh[0].length);
}
private void addBar(int h, int w) {
// if height is higher than current, the width of that rectangle has
// been fixed, then calculate the area of rectangle
int start = w;
while (tableLast >= 0) {
if (rectangleHeight[tableLast] <= h)
break;
maxArea = Math.max(maxArea, (w - rectangleLeft[tableLast]) * rectangleHeight[tableLast]);
start = Math.min(start, rectangleLeft[tableLast]);
tableLast--;
}
// and add current data as start point of new height bar
// if it's possible to make the largest rectangle
if (h > 0 && h * (maxh[0].length - start) > maxArea)
if (tableLast < 0 || h > rectangleHeight[tableLast]) {
rectangleHeight[++tableLast] = h;
rectangleLeft[tableLast] = start;
}
}
private void setMaxh() {
for (int h = 1; h < maxh.length; h++)
for (int w = 0; w < maxh[0].length; w++)
if (maxh[h][w] > 0)
maxh[h][w] = maxh[h - 1][w] + 1;
}
public void addTile(int h, int w, int c) {
// set 1 to clear tile
if (c == 1)
maxh[h][w] = 0;
else
maxh[h][w] = 1;
}
}
class UserScanner {
private InputStream in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
public UserScanner(InputStream inStream) {
in = inStream;
}
private void read() {
ptr = 0;
try {
buflen = in.read(buffer);
} catch (IOException e) {
e.printStackTrace();
System.exit(9);
}
}
private byte getByte() {
if (ptr >= buflen)
read();
if (buflen < 0 || isCtlSpace(buffer[ptr])) {
return -1;
} else
return buffer[ptr++];
}
private void skipCtlSpace() {
for (; ptr < buflen; ptr++)
if (!isCtlSpace(buffer[ptr]))
return;
read();
skipCtlSpace();
}
private boolean isCtlSpace(byte b) {
if (b <= ' ' || b > '~')
return true;
else
return false;
}
public void close() {
try {
in.close();
} catch (IOException e) {
e.printStackTrace();
System.exit(9);
}
}
public String next() {
skipCtlSpace();
StringBuilder sb = new StringBuilder();
byte b;
while ((b = getByte()) != -1) {
sb.appendCodePoint(b);
}
return sb.toString();
}
public int nextInt() {
skipCtlSpace();
int n = 0;
boolean minus = false;
byte b;
while ((b = getByte()) != -1) {
if (b == '-')
minus = true;
else {
n *= 10;
n += (b - '0');
}
}
if (minus)
return n * -1;
else
return n;
}
} | 4JAVA
| {
"input": [
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"4 5\n1 0 1 1 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 0 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"1 5\n1 0 0 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n0 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"4 5\n0 0 1 0 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 -1 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"4 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 1\n0 0 0 1 0",
"4 5\n0 0 1 1 0\n1 1 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 0 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 2 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 0 0 1\n0 0 0 0 0\n0 1 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 -1 0 0 -1\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n-1 0 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 0",
"4 5\n1 0 1 0 0\n1 0 0 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n0 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n0 0 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 0 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 1 0\n0 0 0 0 1",
"1 3\n1 0 1 0 0\n2 0 0 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 -1 0\n0 -1 0 -1 0\n0 0 0 1 0",
"1 3\n1 0 1 0 0\n2 0 -1 0 0\n0 -1 0 0 1\n0 0 1 2 0",
"1 5\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 0",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n4 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 0 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 2\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 0",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 1 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 1 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 0",
"0 5\n1 0 0 0 1\n2 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 1 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 0 1 0 1\n2 1 -1 0 1\n0 0 0 0 0\n-1 1 1 1 0",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 0 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 0\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n0 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 0 1 0",
"1 5\n0 -1 1 0 0\n2 0 0 0 1\n0 0 0 0 0\n0 0 0 0 1",
"1 5\n1 0 1 1 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 0 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n2 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n0 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 0 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 0 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -2\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 1 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 0 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n0 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 0 1 0 0\n2 -1 0 1 1\n0 0 0 1 0\n0 0 0 1 1",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 0 0 1",
"1 5\n1 0 1 0 1\n3 0 -1 0 1\n0 -1 0 0 1\n0 0 0 0 1",
"1 3\n1 1 1 0 0\n2 0 -1 0 1\n1 -1 0 0 0\n-1 0 1 2 -1",
"0 5\n1 0 0 0 1\n4 0 -1 1 1\n0 -1 0 0 0\n0 0 1 1 0",
"1 5\n1 0 0 0 0\n2 0 -1 -1 0\n0 0 0 0 0\n0 2 1 1 -1",
"1 5\n1 1 1 0 0\n0 0 -1 0 1\n0 1 0 0 -1\n0 0 0 1 -1",
"4 5\n1 0 1 1 0\n1 0 2 0 0\n0 0 1 0 1\n0 0 0 1 0",
"0 5\n0 0 1 -1 0\n1 -1 0 0 0\n1 0 0 1 -1\n1 0 0 1 0",
"0 5\n1 0 1 0 0\n1 0 0 0 1\n0 0 0 1 0\n-1 0 -1 1 0",
"1 5\n1 1 1 0 0\n2 0 0 0 1\n0 -1 1 0 0\n0 0 1 0 1"
],
"output": [
"6",
"8\n",
"6\n",
"2\n",
"0\n",
"1\n",
"4\n",
"10\n",
"9\n",
"3\n",
"5\n",
"8\n",
"6\n",
"6\n",
"8\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"8\n",
"6\n",
"6\n",
"0\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"2\n",
"1\n",
"2\n",
"1\n",
"2\n",
"2\n",
"2\n",
"2\n",
"6\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"0\n",
"2\n",
"1\n",
"2\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"1\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n",
"2\n",
"1\n",
"0\n",
"0\n",
"4\n",
"2\n",
"4\n",
"0\n",
"0\n",
"2\n"
]
} | 6AIZU
|
p02472 Addition of Big Integers_1469 | Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | a=raw_input().split()
print(int(a[0])+int(a[1]))
| 1Python2
| {
"input": [
"5 8",
"9 8",
"17 8",
"17 12",
"17 16",
"21 16",
"41 16",
"58 16",
"58 30",
"109 30",
"195 30",
"302 30",
"552 30",
"47 30",
"87 30",
"87 37",
"139 37",
"139 39",
"107 39",
"107 73",
"107 60",
"107 79",
"107 51",
"8 51",
"2 51",
"2 41",
"2 56",
"2 76",
"2 9",
"2 18",
"2 28",
"0 28",
"1 48",
"0 48",
"-1 28",
"0 41",
"-1 41",
"-1 68",
"-1 131",
"-2 131",
"-3 131",
"-3 37",
"-3 16",
"-4 16",
"-8 16",
"-9 16",
"-9 8",
"-2 8",
"-1 6",
"-1 2",
"0 2",
"0 0",
"-1 -1",
"-2 -1",
"-1 -3",
"1 2",
"2 2",
"8 2",
"-1 25",
"-1 15",
"-3 21",
"-3 29",
"-1 -4",
"-2 -4",
"-3 -4",
"-3 -7",
"-6 -7",
"-1 -7",
"-12 3",
"0 9",
"8 8",
"2 -16",
"4 -15",
"-12 -6",
"1 -16",
"1 -27",
"2 -27",
"2 -21",
"3 -20",
"-15 -1",
"-8 -4",
"-20 0",
"-22 1",
"-24 0",
"-24 1",
"-28 1",
"-23 1",
"-49 -1",
"-73 -1",
"-35 -1",
"-35 0",
"-35 -2",
"-46 -2",
"-46 -3",
"-46 -5",
"-37 -5",
"-40 2",
"1 20",
"2 20",
"30 1",
"42 0"
],
"output": [
"13",
"17\n",
"25\n",
"29\n",
"33\n",
"37\n",
"57\n",
"74\n",
"88\n",
"139\n",
"225\n",
"332\n",
"582\n",
"77\n",
"117\n",
"124\n",
"176\n",
"178\n",
"146\n",
"180\n",
"167\n",
"186\n",
"158\n",
"59\n",
"53\n",
"43\n",
"58\n",
"78\n",
"11\n",
"20\n",
"30\n",
"28\n",
"49\n",
"48\n",
"27\n",
"41\n",
"40\n",
"67\n",
"130\n",
"129\n",
"128\n",
"34\n",
"13\n",
"12\n",
"8\n",
"7\n",
"-1\n",
"6\n",
"5\n",
"1\n",
"2\n",
"0\n",
"-2\n",
"-3\n",
"-4\n",
"3\n",
"4\n",
"10\n",
"24\n",
"14\n",
"18\n",
"26\n",
"-5\n",
"-6\n",
"-7\n",
"-10\n",
"-13\n",
"-8\n",
"-9\n",
"9\n",
"16\n",
"-14\n",
"-11\n",
"-18\n",
"-15\n",
"-26\n",
"-25\n",
"-19\n",
"-17\n",
"-16\n",
"-12\n",
"-20\n",
"-21\n",
"-24\n",
"-23\n",
"-27\n",
"-22\n",
"-50\n",
"-74\n",
"-36\n",
"-35\n",
"-37\n",
"-48\n",
"-49\n",
"-51\n",
"-42\n",
"-38\n",
"21\n",
"22\n",
"31\n",
"42\n"
]
} | 6AIZU
|
p02472 Addition of Big Integers_1470 | Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | #include<stdio.h>
#include<cmath>
#include<string.h>
#include<algorithm>
#include<vector>
#include<iostream>
using namespace std;
#define MAX 3000000
#define MAXN 9999
#define MAXSIZE (100005/2)
#define DLEN 4
class BigNum{
public:
int a[100005/2];
int len;
BigNum(){len=1,memset(a,0,sizeof(a));}
BigNum(const int);
BigNum(const char*);
BigNum(const BigNum &);
BigNum &operator =(const BigNum &);
friend istream& operator >>(istream&, BigNum&);
friend ostream& operator <<(ostream&, BigNum&);
BigNum operator +(const BigNum &) const;
BigNum operator -(const BigNum &) const;
BigNum operator *(const BigNum &) const;
BigNum operator /(const int &) const;
BigNum operator ^(const int &) const;
int operator %(const int &) const;
bool operator >(const BigNum &) const;
bool operator >(const int &t) const;
void print();
};
BigNum::BigNum(const int b){
int c,d=b;
len=0;
memset(a,0,sizeof(a));
while(d>MAXN){
c=d-(d/(MAXN+1))*(MAXN+1);
d=d/(MAXN+1);
a[len++]=c;
}
a[len++]=d;
}
BigNum::BigNum(const char*s){
int t,k,index,l,i;
memset(a,0,sizeof(a));
l=strlen(s);
len=l/DLEN;
if(l%DLEN)
len++;
index=0;
for(i=l-1;i>=0;i-=DLEN){
t=0;
k=i-DLEN+1;
if(k<0)
k=0;
for(int j=k;j<=i;j++)
t=t*10+s[j]-'0';
a[index++]=t;
}
}
BigNum::BigNum(const BigNum &T):len(T.len){
int i;
memset(a,0,sizeof(a));
for(i=0;i<len;i++)
a[i]=T.a[i];
}
BigNum &BigNum::operator=(const BigNum &n){
int i;
len=n.len;
memset(a,0,sizeof(a));
for(i=0;i<len;i++)
a[i]=n.a[i];
return *this;
}
istream &operator>>(istream &in,BigNum &b){
char ch[MAXSIZE*4];
int i=-1;
in>>ch;
int l=strlen(ch);
int count=0,sum=0;
for(i=l-1;i>=0;){
sum=0;
int t=1;
for(int j=0;j<4&&i>=0;j++,i--,t*=10)
sum+=(ch[i]-'0')*t;
b.a[count]=sum;
++count;
}
b.len=count++;
return in;
}
ostream& operator<<(ostream& out,BigNum &b){
int i;
out<<b.a[b.len-1];
for(i=b.len-2;i>=0;--i){
out.width(4);
out.fill('0');
out<<b.a[i];
}
return out;
}
BigNum BigNum::operator+(const BigNum &T) const{
BigNum t(*this);
int i,big;
big=T.len>len?T.len:len;
for(i=0;i<big;i++){
t.a[i]+=T.a[i];
if(t.a[i]>MAXN){
t.a[i+1]++;
t.a[i]-=MAXN+1;
}
}
if(t.a[big]!=0)
t.len=big+1;
else
t.len=big;
return t;
}
BigNum BigNum::operator-(const BigNum &T) const{
int i,j,big;
bool flag;
BigNum t1,t2;
if(*this>T){
t1=*this;
t2=T;
flag=0;
}
else{
t1=T;
t2=*this;
flag=1;
}
big=t1.len;
for(i=0;i<big;i++){
if(t1.a[i]<t2.a[i]){
j=i+1;
while(t1.a[j]==0)
j++;
t1.a[j--]--;
while(j>i)
t1.a[j--]+=MAXN;
t1.a[i]+=MAXN+1-t2.a[i];
}
else
t1.a[i]-=t2.a[i];
}
t1.len=big;
while(t1.a[t1.len-1]==0&&t1.len>1){
t1.len--;
big--;
}
if(flag)
t1.a[big-1]=0-t1.a[big-1];
return t1;
}
BigNum BigNum::operator*(const BigNum &T) const{
BigNum ret;
int i,j,up;
int temp,temp1;
for(i=0;i<len;i++){
}
return ret;
}
BigNum BigNum::operator/(const int &b) const{
BigNum ret;
return ret;
}
bool BigNum::operator>(const BigNum &T) const{
int ln;
if(len>T.len)
return true;
else if(len==T.len){
ln=len-1;
while(a[ln]==T.a[ln]&&ln>=0)
ln--;
if(ln>=0&&a[ln]>T.a[ln])
return true;
else
return false;
}
else
return false;
}
bool BigNum::operator>(const int &t) const{
BigNum b(t);
return *this>b;
}
void BigNum::print(){
int i;
cout<<a[len-1];
for(i=len-2;i>=0;--i){
cout.width(DLEN);
cout.fill('0');
cout<<a[i];
}
cout<<endl;
}
char A[100005],B[100005];
int main(){
scanf("%s",A);
scanf("%s",B);
if(A[0]=='-'&&B[0]=='-'){
BigNum a(A+1);
BigNum b(B+1);
printf("-");
a=a+b;
cout<<a;
}
else if(A[0]=='-'&&B[0]!='-'){
BigNum a(A+1);
BigNum b(B);
BigNum c;
c=b-a;
cout<<c;
}
else if(A[0]!='-'&&B[0]=='-'){
BigNum a(A);
BigNum b(B+1);
BigNum c;
c=a-b;
cout<<c;
}
else{
BigNum a(A);
BigNum b(B);
a=a+b;
cout<<a;
}
cout<<endl;
}
| 2C++
| {
"input": [
"5 8",
"9 8",
"17 8",
"17 12",
"17 16",
"21 16",
"41 16",
"58 16",
"58 30",
"109 30",
"195 30",
"302 30",
"552 30",
"47 30",
"87 30",
"87 37",
"139 37",
"139 39",
"107 39",
"107 73",
"107 60",
"107 79",
"107 51",
"8 51",
"2 51",
"2 41",
"2 56",
"2 76",
"2 9",
"2 18",
"2 28",
"0 28",
"1 48",
"0 48",
"-1 28",
"0 41",
"-1 41",
"-1 68",
"-1 131",
"-2 131",
"-3 131",
"-3 37",
"-3 16",
"-4 16",
"-8 16",
"-9 16",
"-9 8",
"-2 8",
"-1 6",
"-1 2",
"0 2",
"0 0",
"-1 -1",
"-2 -1",
"-1 -3",
"1 2",
"2 2",
"8 2",
"-1 25",
"-1 15",
"-3 21",
"-3 29",
"-1 -4",
"-2 -4",
"-3 -4",
"-3 -7",
"-6 -7",
"-1 -7",
"-12 3",
"0 9",
"8 8",
"2 -16",
"4 -15",
"-12 -6",
"1 -16",
"1 -27",
"2 -27",
"2 -21",
"3 -20",
"-15 -1",
"-8 -4",
"-20 0",
"-22 1",
"-24 0",
"-24 1",
"-28 1",
"-23 1",
"-49 -1",
"-73 -1",
"-35 -1",
"-35 0",
"-35 -2",
"-46 -2",
"-46 -3",
"-46 -5",
"-37 -5",
"-40 2",
"1 20",
"2 20",
"30 1",
"42 0"
],
"output": [
"13",
"17\n",
"25\n",
"29\n",
"33\n",
"37\n",
"57\n",
"74\n",
"88\n",
"139\n",
"225\n",
"332\n",
"582\n",
"77\n",
"117\n",
"124\n",
"176\n",
"178\n",
"146\n",
"180\n",
"167\n",
"186\n",
"158\n",
"59\n",
"53\n",
"43\n",
"58\n",
"78\n",
"11\n",
"20\n",
"30\n",
"28\n",
"49\n",
"48\n",
"27\n",
"41\n",
"40\n",
"67\n",
"130\n",
"129\n",
"128\n",
"34\n",
"13\n",
"12\n",
"8\n",
"7\n",
"-1\n",
"6\n",
"5\n",
"1\n",
"2\n",
"0\n",
"-2\n",
"-3\n",
"-4\n",
"3\n",
"4\n",
"10\n",
"24\n",
"14\n",
"18\n",
"26\n",
"-5\n",
"-6\n",
"-7\n",
"-10\n",
"-13\n",
"-8\n",
"-9\n",
"9\n",
"16\n",
"-14\n",
"-11\n",
"-18\n",
"-15\n",
"-26\n",
"-25\n",
"-19\n",
"-17\n",
"-16\n",
"-12\n",
"-20\n",
"-21\n",
"-24\n",
"-23\n",
"-27\n",
"-22\n",
"-50\n",
"-74\n",
"-36\n",
"-35\n",
"-37\n",
"-48\n",
"-49\n",
"-51\n",
"-42\n",
"-38\n",
"21\n",
"22\n",
"31\n",
"42\n"
]
} | 6AIZU
|
p02472 Addition of Big Integers_1471 | Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | n, m = map(int, input().split())
print(n + m)
| 3Python3
| {
"input": [
"5 8",
"9 8",
"17 8",
"17 12",
"17 16",
"21 16",
"41 16",
"58 16",
"58 30",
"109 30",
"195 30",
"302 30",
"552 30",
"47 30",
"87 30",
"87 37",
"139 37",
"139 39",
"107 39",
"107 73",
"107 60",
"107 79",
"107 51",
"8 51",
"2 51",
"2 41",
"2 56",
"2 76",
"2 9",
"2 18",
"2 28",
"0 28",
"1 48",
"0 48",
"-1 28",
"0 41",
"-1 41",
"-1 68",
"-1 131",
"-2 131",
"-3 131",
"-3 37",
"-3 16",
"-4 16",
"-8 16",
"-9 16",
"-9 8",
"-2 8",
"-1 6",
"-1 2",
"0 2",
"0 0",
"-1 -1",
"-2 -1",
"-1 -3",
"1 2",
"2 2",
"8 2",
"-1 25",
"-1 15",
"-3 21",
"-3 29",
"-1 -4",
"-2 -4",
"-3 -4",
"-3 -7",
"-6 -7",
"-1 -7",
"-12 3",
"0 9",
"8 8",
"2 -16",
"4 -15",
"-12 -6",
"1 -16",
"1 -27",
"2 -27",
"2 -21",
"3 -20",
"-15 -1",
"-8 -4",
"-20 0",
"-22 1",
"-24 0",
"-24 1",
"-28 1",
"-23 1",
"-49 -1",
"-73 -1",
"-35 -1",
"-35 0",
"-35 -2",
"-46 -2",
"-46 -3",
"-46 -5",
"-37 -5",
"-40 2",
"1 20",
"2 20",
"30 1",
"42 0"
],
"output": [
"13",
"17\n",
"25\n",
"29\n",
"33\n",
"37\n",
"57\n",
"74\n",
"88\n",
"139\n",
"225\n",
"332\n",
"582\n",
"77\n",
"117\n",
"124\n",
"176\n",
"178\n",
"146\n",
"180\n",
"167\n",
"186\n",
"158\n",
"59\n",
"53\n",
"43\n",
"58\n",
"78\n",
"11\n",
"20\n",
"30\n",
"28\n",
"49\n",
"48\n",
"27\n",
"41\n",
"40\n",
"67\n",
"130\n",
"129\n",
"128\n",
"34\n",
"13\n",
"12\n",
"8\n",
"7\n",
"-1\n",
"6\n",
"5\n",
"1\n",
"2\n",
"0\n",
"-2\n",
"-3\n",
"-4\n",
"3\n",
"4\n",
"10\n",
"24\n",
"14\n",
"18\n",
"26\n",
"-5\n",
"-6\n",
"-7\n",
"-10\n",
"-13\n",
"-8\n",
"-9\n",
"9\n",
"16\n",
"-14\n",
"-11\n",
"-18\n",
"-15\n",
"-26\n",
"-25\n",
"-19\n",
"-17\n",
"-16\n",
"-12\n",
"-20\n",
"-21\n",
"-24\n",
"-23\n",
"-27\n",
"-22\n",
"-50\n",
"-74\n",
"-36\n",
"-35\n",
"-37\n",
"-48\n",
"-49\n",
"-51\n",
"-42\n",
"-38\n",
"21\n",
"22\n",
"31\n",
"42\n"
]
} | 6AIZU
|
p02472 Addition of Big Integers_1472 | Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | import java.math.BigInteger;
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
BigInteger A = new BigInteger(sc.next()), B = new BigInteger(sc.next());
sc.close();
System.out.println(A.add(B));
}
}
| 4JAVA
| {
"input": [
"5 8",
"9 8",
"17 8",
"17 12",
"17 16",
"21 16",
"41 16",
"58 16",
"58 30",
"109 30",
"195 30",
"302 30",
"552 30",
"47 30",
"87 30",
"87 37",
"139 37",
"139 39",
"107 39",
"107 73",
"107 60",
"107 79",
"107 51",
"8 51",
"2 51",
"2 41",
"2 56",
"2 76",
"2 9",
"2 18",
"2 28",
"0 28",
"1 48",
"0 48",
"-1 28",
"0 41",
"-1 41",
"-1 68",
"-1 131",
"-2 131",
"-3 131",
"-3 37",
"-3 16",
"-4 16",
"-8 16",
"-9 16",
"-9 8",
"-2 8",
"-1 6",
"-1 2",
"0 2",
"0 0",
"-1 -1",
"-2 -1",
"-1 -3",
"1 2",
"2 2",
"8 2",
"-1 25",
"-1 15",
"-3 21",
"-3 29",
"-1 -4",
"-2 -4",
"-3 -4",
"-3 -7",
"-6 -7",
"-1 -7",
"-12 3",
"0 9",
"8 8",
"2 -16",
"4 -15",
"-12 -6",
"1 -16",
"1 -27",
"2 -27",
"2 -21",
"3 -20",
"-15 -1",
"-8 -4",
"-20 0",
"-22 1",
"-24 0",
"-24 1",
"-28 1",
"-23 1",
"-49 -1",
"-73 -1",
"-35 -1",
"-35 0",
"-35 -2",
"-46 -2",
"-46 -3",
"-46 -5",
"-37 -5",
"-40 2",
"1 20",
"2 20",
"30 1",
"42 0"
],
"output": [
"13",
"17\n",
"25\n",
"29\n",
"33\n",
"37\n",
"57\n",
"74\n",
"88\n",
"139\n",
"225\n",
"332\n",
"582\n",
"77\n",
"117\n",
"124\n",
"176\n",
"178\n",
"146\n",
"180\n",
"167\n",
"186\n",
"158\n",
"59\n",
"53\n",
"43\n",
"58\n",
"78\n",
"11\n",
"20\n",
"30\n",
"28\n",
"49\n",
"48\n",
"27\n",
"41\n",
"40\n",
"67\n",
"130\n",
"129\n",
"128\n",
"34\n",
"13\n",
"12\n",
"8\n",
"7\n",
"-1\n",
"6\n",
"5\n",
"1\n",
"2\n",
"0\n",
"-2\n",
"-3\n",
"-4\n",
"3\n",
"4\n",
"10\n",
"24\n",
"14\n",
"18\n",
"26\n",
"-5\n",
"-6\n",
"-7\n",
"-10\n",
"-13\n",
"-8\n",
"-9\n",
"9\n",
"16\n",
"-14\n",
"-11\n",
"-18\n",
"-15\n",
"-26\n",
"-25\n",
"-19\n",
"-17\n",
"-16\n",
"-12\n",
"-20\n",
"-21\n",
"-24\n",
"-23\n",
"-27\n",
"-22\n",
"-50\n",
"-74\n",
"-36\n",
"-35\n",
"-37\n",
"-48\n",
"-49\n",
"-51\n",
"-42\n",
"-38\n",
"21\n",
"22\n",
"31\n",
"42\n"
]
} | 6AIZU
|
bico_1473 | The much anticipated video game "BiCo Grid" has been released. The rules of "Bico Grid" are very simple.
The game field is a 100x100 matrix, where each cell is either a blocked cell, or a cell with some number of coins. For a regular player the look of the field seems pretty random, but the programmer in you recognizes the following pattern: the i-th cell on the n-th row contains C(n, i) coins if and only if 0 ≤ i ≤ n, all other cells are blocked. Record C(n, i) denotes binomial coefficient "n choose i".
The player starts from the cell situated at row R and column C in the matrix. The objective is to collect exactly G number of coins from matrix in several moves. There are some rules:
On each move the player must collect all the coins from some unblocked cell in the current column.
The rules of the game state, that player mustn't be really greedy, so the number of coins he collected must not increase. In other words, if at some move the player collected X coins then further he cannot collect more than X coins in a single move.
After each move, the player is immediately moved to some cell of the column W-1 (where W denotes the current column of the player). If the current column of the player has index 0, the game ends.
The game ends when player collects exactly G number of coins.
You are given the description of the game. Please, output the sequence of moves that win the game (collect exactly G coins)! It is guaranteed that if the player will play optimally it is possible to win the game.
Input
The first line of the input contains an integer T denoting the number of test cases. Then T lines follows. Each containing three integers, R denoting the starting row, C, denoting the starting column, and G, denoting the number of coins to be collected.
Output
For each test case, output two lines. First line contains K, the number of column visited before completion of game. Second line contains K space separated integers, the number of coins collected from the cells, in the order they were collected.
It is guaranteed that a solution exists. And if there are multiple solutions, print any of them.
Constraints
1 ≤ T ≤ 100000 ≤ C ≤ 490 ≤ R ≤ 991 ≤ G ≤ 10^12
Example
Input:
3
3 2 5
3 3 10
5 4 7
Output:
2
3 2
1
10
3
5 1 1
Explanation
Example case 1. We first pick 3 coins from [3, 2] then we pick 2 coins from [2, 1]Example case 2. As 3rd column contains 10 coins in cell [5, 3] we pick it.Example case 3. We first pick 5 coins from [5, 4] then we pick 1 coin from [3, 3] and again we pick 1 coin from [2, 2]. | C = [[0 for x in xrange(100)] for x in xrange(100)]
def dp():
for i in range(100):
for j in range(min(99, i)):
if j == 0 or j == i:
C[i][j] = 1
else:
C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
def work(r, c, g):
maxUsed = -1
ans = []
x = r
y = c
while C[x][y] < g:
x = x + 1
if x == 100:
x = 99;
break;
while C[x][y] > g:
x = x - 1;
if x < 0:
x = 0;
break;
if C[x][y] == g:
print 1
print g
return;
ans += [C[x][y]]
g -= C[x][y]
maxUsed = C[x][y]
y = y - 1;
while g > 0:
while C[x][y] < g and C[x][y] <= maxUsed:
x = x + 1;
if x == 100:
x = 99;
break;
while C[x][y] > g or C[x][y] >= maxUsed:
x = x - 1;
if x < 0:
x = 0;
break;
ans += [C[x][y]]
g -= C[x][y];
y = y - 1;
print len(ans);
s = ""
for q in ans:
s += str(q) + " "
print s
if __name__ == '__main__':
dp()
T = int(raw_input())
while T > 0:
T = T - 1;
r, c, g = map(int, raw_input().split());
work(r, c, g)
exit(0) | 1Python2
| {
"input": [
"3\n3 2 5\n3 3 10\n5 4 7",
"3\n3 2 5\n3 1 10\n5 4 7",
"3\n4 2 5\n2 1 10\n5 2 7",
"3\n3 2 5\n1 1 7\n5 4 7",
"3\n3 2 8\n2 1 10\n5 4 7",
"3\n3 2 4\n1 1 7\n5 4 7",
"3\n3 2 11\n2 1 10\n5 4 7",
"3\n3 2 5\n3 1 4\n5 4 7",
"3\n4 2 5\n2 1 10\n5 4 9",
"3\n3 2 8\n2 1 10\n5 4 5",
"3\n3 2 4\n2 1 10\n5 4 7",
"3\n4 2 4\n2 1 10\n5 4 9",
"3\n4 1 5\n2 1 10\n5 2 7",
"3\n3 2 8\n2 1 10\n5 4 1",
"3\n3 2 7\n2 1 7\n5 4 7",
"3\n3 1 4\n2 1 10\n5 4 7",
"3\n4 2 5\n2 1 7\n5 2 7",
"3\n3 2 5\n1 1 10\n5 4 14",
"3\n3 2 5\n1 1 5\n5 4 7",
"3\n3 2 4\n1 1 9\n5 4 7",
"3\n4 2 5\n4 1 10\n5 1 7",
"3\n3 2 7\n2 1 7\n5 4 11",
"3\n3 2 7\n2 1 4\n7 4 7",
"3\n3 1 4\n4 1 3\n5 4 7",
"3\n3 1 8\n2 2 10\n5 4 7",
"3\n3 2 22\n2 1 10\n7 4 7",
"3\n4 2 3\n3 2 10\n9 4 7",
"3\n4 2 5\n2 1 8\n9 4 9",
"3\n4 2 5\n4 1 10\n5 1 1",
"3\n6 2 4\n2 1 7\n5 4 5",
"3\n3 1 5\n2 1 10\n5 2 1",
"3\n3 2 7\n2 1 5\n7 4 7",
"3\n4 2 4\n2 1 7\n3 2 7",
"3\n4 2 5\n2 1 8\n9 4 6",
"3\n3 1 5\n2 1 13\n5 2 1",
"3\n3 2 7\n2 2 5\n7 4 7",
"3\n3 1 4\n3 1 3\n5 4 1",
"3\n3 2 39\n2 2 10\n7 4 7",
"3\n4 2 3\n3 2 11\n4 4 7",
"3\n4 2 5\n4 1 6\n7 1 1",
"3\n3 2 39\n2 2 17\n7 4 7",
"3\n4 2 5\n4 1 8\n9 5 6",
"3\n2 1 4\n2 2 3\n5 3 7",
"3\n4 1 5\n4 1 8\n9 5 6",
"3\n4 2 5\n5 1 1\n7 1 1",
"3\n2 1 3\n2 2 3\n5 3 7",
"3\n4 2 39\n2 2 17\n7 4 10",
"3\n4 1 9\n4 1 8\n9 5 6",
"3\n4 2 39\n2 2 17\n7 4 11",
"3\n4 2 5\n5 1 2\n8 1 1",
"3\n8 2 39\n2 2 17\n13 7 11",
"3\n8 2 39\n2 2 4\n13 7 11",
"3\n8 3 39\n2 2 4\n8 7 11",
"3\n8 1 39\n2 2 4\n8 7 11",
"3\n3 2 7\n3 3 10\n5 4 7",
"3\n3 2 5\n3 1 10\n5 4 10",
"3\n4 2 5\n2 1 17\n5 4 7",
"3\n4 2 5\n3 1 8\n9 4 7",
"3\n3 2 8\n2 1 10\n5 2 5",
"3\n3 2 4\n2 1 1\n5 4 7",
"3\n3 2 10\n1 1 4\n5 4 7",
"3\n4 2 4\n2 1 10\n5 2 9",
"3\n3 2 6\n1 1 9\n5 4 7",
"3\n4 2 5\n4 1 4\n5 1 7",
"3\n5 2 4\n2 1 8\n5 4 9",
"3\n3 1 7\n2 1 10\n5 2 7",
"3\n3 2 7\n2 1 7\n5 4 21",
"3\n3 2 7\n2 2 4\n7 4 7",
"3\n3 2 35\n2 1 10\n7 4 7",
"3\n3 2 7\n2 1 6\n7 4 7",
"3\n3 2 17\n2 2 10\n7 4 7",
"3\n4 3 5\n2 1 8\n9 4 6",
"3\n4 2 5\n4 1 10\n7 1 2",
"3\n6 2 4\n2 1 7\n8 4 1",
"3\n3 2 7\n2 2 5\n7 3 7",
"3\n2 1 4\n2 2 7\n5 4 7",
"3\n3 2 31\n2 2 10\n7 4 7",
"3\n4 2 3\n3 2 11\n4 1 7",
"3\n4 2 6\n4 1 8\n9 5 6",
"3\n4 2 5\n5 1 8\n7 1 1",
"3\n10 1 4\n3 1 2\n5 4 1",
"3\n4 1 5\n4 1 6\n9 5 6",
"3\n2 1 4\n2 2 5\n5 3 7",
"3\n4 2 9\n4 1 8\n9 5 6",
"3\n4 2 57\n2 2 17\n7 4 11",
"3\n8 2 14\n2 2 17\n13 7 11",
"3\n8 2 39\n2 2 4\n8 6 11",
"3\n8 3 39\n2 2 8\n8 7 11",
"3\n3 2 7\n3 3 1\n5 4 7",
"3\n4 2 5\n2 1 17\n5 4 6",
"3\n3 2 9\n4 1 10\n5 4 7",
"3\n3 1 8\n2 1 20\n5 4 7",
"3\n3 2 11\n2 1 10\n4 4 11",
"3\n4 4 5\n3 1 8\n9 4 7",
"3\n7 1 5\n2 1 10\n5 4 9",
"3\n3 2 4\n2 1 1\n5 4 11",
"3\n1 1 5\n2 1 13\n5 2 7",
"3\n4 1 4\n2 1 7\n5 2 7",
"3\n3 3 11\n2 1 13\n7 4 7",
"3\n3 1 9\n2 1 10\n5 2 7",
"3\n3 2 7\n2 2 4\n7 1 7"
],
"output": [
"2\n3 2 \n1\n10 \n3\n5 1 1",
"2\n3 2 \n1\n10\n3\n5 1 1 \n",
"2\n3 2 \n1\n10\n2\n6 1 \n",
"2\n3 2 \n1\n7\n3\n5 1 1 \n",
"2\n6 2 \n1\n10\n3\n5 1 1 \n",
"2\n3 1 \n1\n7\n3\n5 1 1 \n",
"2\n10 1 \n1\n10\n3\n5 1 1 \n",
"2\n3 2 \n1\n4\n3\n5 1 1 \n",
"2\n3 2 \n1\n10\n2\n5 4 \n",
"2\n6 2 \n1\n10\n1\n5\n",
"2\n3 1 \n1\n10\n3\n5 1 1 \n",
"2\n3 1 \n1\n10\n2\n5 4 \n",
"1\n5\n1\n10\n2\n6 1 \n",
"2\n6 2 \n1\n10\n1\n1\n",
"2\n6 1 \n1\n7\n3\n5 1 1 \n",
"1\n4\n1\n10\n3\n5 1 1 \n",
"2\n3 2 \n1\n7\n2\n6 1 \n",
"2\n3 2 \n1\n10\n4\n5 4 3 2 \n",
"2\n3 2 \n1\n5\n3\n5 1 1 \n",
"2\n3 1 \n1\n9\n3\n5 1 1 \n",
"2\n3 2 \n1\n10\n1\n7\n",
"2\n6 1 \n1\n7\n4\n5 4 1 1 \n",
"2\n6 1 \n1\n4\n3\n5 1 1 \n",
"1\n4\n1\n3\n3\n5 1 1 \n",
"1\n8\n1\n10\n3\n5 1 1 \n",
"2\n21 1 \n1\n10\n3\n5 1 1 \n",
"1\n3\n1\n10\n3\n5 1 1 \n",
"2\n3 2 \n1\n8\n2\n5 4 \n",
"2\n3 2 \n1\n10\n1\n1\n",
"2\n3 1 \n1\n7\n1\n5\n",
"1\n5\n1\n10\n1\n1\n",
"2\n6 1 \n1\n5\n3\n5 1 1 \n",
"2\n3 1 \n1\n7\n2\n6 1 \n",
"2\n3 2 \n1\n8\n2\n5 1 \n",
"1\n5\n1\n13\n1\n1\n",
"2\n6 1 \n2\n3 2 \n3\n5 1 1 \n",
"1\n4\n1\n3\n1\n1\n",
"2\n36 3 \n1\n10\n3\n5 1 1 \n",
"1\n3\n2\n10 1 \n3\n5 1 1 \n",
"2\n3 2 \n1\n6\n1\n1\n",
"2\n36 3 \n2\n15 2 \n3\n5 1 1 \n",
"2\n3 2 \n1\n8\n1\n6\n",
"1\n4\n1\n3\n2\n4 3 \n",
"1\n5\n1\n8\n1\n6\n",
"2\n3 2 \n1\n1\n1\n1\n",
"1\n3\n1\n3\n2\n4 3 \n",
"2\n36 3 \n2\n15 2 \n3\n5 4 1 \n",
"1\n9\n1\n8\n1\n6\n",
"2\n36 3 \n2\n15 2 \n4\n5 4 1 1 \n",
"2\n3 2 \n1\n2\n1\n1\n",
"2\n36 3 \n2\n15 2 \n4\n8 1 1 1 \n",
"2\n36 3 \n2\n3 1 \n4\n8 1 1 1 \n",
"3\n35 3 1 \n2\n3 1 \n4\n8 1 1 1 \n",
"1\n39\n2\n3 1 \n4\n8 1 1 1 \n",
"2\n6 1 \n1\n10\n3\n5 1 1 \n",
"2\n3 2 \n1\n10\n3\n5 4 1 \n",
"2\n3 2 \n1\n17\n3\n5 1 1 \n",
"2\n3 2 \n1\n8\n3\n5 1 1 \n",
"2\n6 2 \n1\n10\n2\n3 2 \n",
"2\n3 1 \n1\n1\n3\n5 1 1 \n",
"1\n10\n1\n4\n3\n5 1 1 \n",
"2\n3 1 \n1\n10\n2\n6 3 \n",
"1\n6\n1\n9\n3\n5 1 1 \n",
"2\n3 2 \n1\n4\n1\n7\n",
"2\n3 1 \n1\n8\n2\n5 4 \n",
"1\n7\n1\n10\n2\n6 1 \n",
"2\n6 1 \n1\n7\n4\n15 4 1 1 \n",
"2\n6 1 \n2\n3 1 \n3\n5 1 1 \n",
"2\n28 7 \n1\n10\n3\n5 1 1 \n",
"2\n6 1 \n1\n6\n3\n5 1 1 \n",
"2\n15 2 \n1\n10\n3\n5 1 1 \n",
"2\n4 1 \n1\n8\n2\n5 1 \n",
"2\n3 2 \n1\n10\n1\n2\n",
"2\n3 1 \n1\n7\n1\n1\n",
"2\n6 1 \n2\n3 2 \n2\n4 3 \n",
"1\n4\n2\n6 1 \n3\n5 1 1 \n",
"2\n28 3 \n1\n10\n3\n5 1 1 \n",
"1\n3\n2\n10 1 \n1\n7\n",
"1\n6\n1\n8\n1\n6\n",
"2\n3 2 \n1\n8\n1\n1\n",
"1\n4\n1\n2\n1\n1\n",
"1\n5\n1\n6\n1\n6\n",
"1\n4\n2\n3 2 \n2\n4 3 \n",
"2\n6 3 \n1\n8\n1\n6\n",
"2\n55 2 \n2\n15 2 \n4\n5 4 1 1 \n",
"2\n10 4 \n2\n15 2 \n4\n8 1 1 1 \n",
"2\n36 3 \n2\n3 1 \n5\n7 1 1 1 1 \n",
"3\n35 3 1 \n2\n6 2 \n4\n8 1 1 1 \n",
"2\n6 1 \n1\n1\n3\n5 1 1 \n",
"2\n3 2 \n1\n17\n2\n5 1 \n",
"2\n6 3 \n1\n10\n3\n5 1 1 \n",
"1\n8\n1\n20\n3\n5 1 1 \n",
"2\n10 1 \n1\n10\n4\n5 4 1 1 \n",
"1\n5\n1\n8\n3\n5 1 1 \n",
"1\n5\n1\n10\n2\n5 4 \n",
"2\n3 1 \n1\n1\n4\n5 4 1 1 \n",
"1\n5\n1\n13\n2\n6 1 \n",
"1\n4\n1\n7\n2\n6 1 \n",
"2\n10 1 \n1\n13\n3\n5 1 1 \n",
"1\n9\n1\n10\n2\n6 1 \n",
"2\n6 1 \n2\n3 1 \n1\n7\n"
]
} | 1CODECHEF
|
cng_1474 | In the country of Numberia, there is a city called Primeland. Sherry is one of the rich inhabitants of the city, who likes to collect coins of various denominations. Coins in primeland are little strange , they are only available in prime denominations (i.e as coins of value 2,3,5 etc.).Sherry is taking a tour of the country but as he visits people ask him for change, unfortunately Sherry took coins of only two kinds of denominations(the coins are of Primeland), he has already made a lot of such changes but then he wonders what is the maximum amount which he can't give change for using the coins he has.Remember he has coins of only two different denominations and has infinite number of them..
Input
First line of input will contain number of testcases,T.Following T lines will contain two integers c and d separated by a space denoting the denominations which sherry has while he is on the tour, both c and d are guaranteed to be prime.
Output
For each of the T testcases output one number per line the maximum amount which sherry can't afford to give change for.
Constraints
1 ≤ T ≤ 100
2 ≤ c,d ≤ 10^6
Example
Input:
2
3 5
2 3
Output:
7
1
Explanation
For Test Case 1 :
We see that 2 cannot be paid using coins of value 3 and 5.
In fact we can pay the following series of numbers using coins of value 3 and 5.
3,5,6,8,9,10.....and so on.
Clearly we cannot make change for 1,2,4,7. Out of these numbers 7 is maximum therefore 7 is the correct answer.
Basically find the list of numbers for which change can't be made using the two coins given in the input and print the maximum of those numbers as your answer. | t=int(raw_input())
for i in range (t):
c,d=map(int,raw_input().split())
print (c*d-c-d) | 1Python2
| {
"input": [
"2\n3 5\n2 3",
"2\n3 7\n2 3",
"2\n3 7\n2 5",
"2\n3 7\n0 5",
"2\n3 7\n-1 5",
"2\n3 7\n-1 7",
"2\n2 7\n-1 7",
"2\n2 6\n-1 7",
"2\n0 6\n-1 7",
"2\n0 12\n-1 7",
"2\n0 2\n-1 7",
"2\n-1 2\n-1 7",
"2\n-2 2\n-1 7",
"2\n-2 1\n-1 7",
"2\n-2 0\n-1 7",
"2\n-2 0\n-1 4",
"2\n-1 0\n-1 4",
"2\n-1 0\n-2 4",
"2\n-2 0\n-2 4",
"2\n-2 1\n-2 4",
"2\n-2 1\n-2 2",
"2\n-2 0\n-2 2",
"2\n-2 0\n-2 0",
"2\n-2 0\n-2 1",
"2\n-2 -1\n-2 1",
"2\n-2 1\n-1 1",
"2\n0 0\n-1 1",
"2\n0 0\n0 0",
"2\n0 0\n0 -1",
"2\n0 -1\n1 0",
"2\n2 -1\n1 1",
"2\n2 -1\n2 0",
"2\n2 -1\n2 -1",
"2\n2 -2\n2 -1",
"2\n2 0\n2 -1",
"2\n2 0\n3 -1",
"2\n2 -1\n3 -1",
"2\n2 -2\n3 -1",
"2\n2 -2\n3 -2",
"2\n1 -2\n3 -2",
"2\n1 -2\n6 -2",
"2\n1 -2\n6 0",
"2\n2 -3\n1 0",
"2\n4 -3\n1 0",
"2\n4 -3\n0 0",
"2\n4 -3\n-1 0",
"2\n4 -3\n-2 0",
"2\n4 -1\n-2 1",
"2\n4 -1\n-2 0",
"2\n4 -1\n-1 0",
"2\n4 0\n-1 0",
"2\n2 0\n-1 0",
"2\n3 0\n-1 0",
"2\n4 0\n-1 -1",
"2\n4 0\n-1 1",
"2\n4 -1\n-1 2",
"2\n4 -1\n-2 2",
"2\n4 -2\n-2 2",
"2\n4 -2\n0 2",
"2\n7 -2\n0 2",
"2\n7 -4\n0 2",
"2\n7 -7\n0 2",
"2\n7 -1\n0 2",
"2\n7 0\n0 2",
"2\n0 -1\n-1 2",
"2\n0 -1\n-2 2",
"2\n1 -1\n-3 2",
"2\n1 0\n-3 3",
"2\n1 0\n-3 0",
"2\n-1 -1\n-15 1",
"2\n-1 -1\n-15 0",
"2\n-1 -1\n-1 2",
"2\n-1 -1\n0 2",
"2\n-1 -1\n0 4",
"2\n-1 -1\n-1 4",
"2\n-1 -4\n1 1",
"2\n-2 -4\n1 1",
"2\n-2 -7\n1 1",
"2\n-1 -7\n1 1",
"2\n-1 -7\n2 2",
"2\n-1 -7\n2 3",
"2\n-1 -7\n4 3",
"2\n-1 -6\n4 3",
"2\n-1 -6\n4 0",
"2\n-1 -3\n4 0",
"2\n-2 -3\n4 0",
"2\n-2 -3\n4 1",
"2\n-4 -3\n4 1",
"2\n-4 -4\n0 1",
"2\n-4 -4\n0 0",
"2\n-4 0\n0 0",
"2\n-4 -1\n0 0",
"2\n-4 -1\n-1 0",
"2\n-4 -1\n-2 0",
"2\n-4 -2\n-2 0",
"2\n-3 -2\n-2 0",
"2\n-3 -1\n-2 0",
"2\n-4 -2\n-3 0",
"2\n-4 -2\n-3 -1",
"2\n-1 -2\n-1 -1",
"2\n-1 -2\n0 -1"
],
"output": [
"7\n1",
"11\n1\n",
"11\n3\n",
"11\n-5\n",
"11\n-9\n",
"11\n-13\n",
"5\n-13\n",
"4\n-13\n",
"-6\n-13\n",
"-12\n-13\n",
"-2\n-13\n",
"-3\n-13\n",
"-4\n-13\n",
"-1\n-13\n",
"2\n-13\n",
"2\n-7\n",
"1\n-7\n",
"1\n-10\n",
"2\n-10\n",
"-1\n-10\n",
"-1\n-4\n",
"2\n-4\n",
"2\n2\n",
"2\n-1\n",
"5\n-1\n",
"-1\n-1\n",
"0\n-1\n",
"0\n0\n",
"0\n1\n",
"1\n-1\n",
"-3\n-1\n",
"-3\n-2\n",
"-3\n-3\n",
"-4\n-3\n",
"-2\n-3\n",
"-2\n-5\n",
"-3\n-5\n",
"-4\n-5\n",
"-4\n-7\n",
"-1\n-7\n",
"-1\n-16\n",
"-1\n-6\n",
"-5\n-1\n",
"-13\n-1\n",
"-13\n0\n",
"-13\n1\n",
"-13\n2\n",
"-7\n-1\n",
"-7\n2\n",
"-7\n1\n",
"-4\n1\n",
"-2\n1\n",
"-3\n1\n",
"-4\n3\n",
"-4\n-1\n",
"-7\n-3\n",
"-7\n-4\n",
"-10\n-4\n",
"-10\n-2\n",
"-19\n-2\n",
"-31\n-2\n",
"-49\n-2\n",
"-13\n-2\n",
"-7\n-2\n",
"1\n-3\n",
"1\n-4\n",
"-1\n-5\n",
"-1\n-9\n",
"-1\n3\n",
"3\n-1\n",
"3\n15\n",
"3\n-3\n",
"3\n-2\n",
"3\n-4\n",
"3\n-7\n",
"9\n-1\n",
"14\n-1\n",
"23\n-1\n",
"15\n-1\n",
"15\n0\n",
"15\n1\n",
"15\n5\n",
"13\n5\n",
"13\n-4\n",
"7\n-4\n",
"11\n-4\n",
"11\n-1\n",
"19\n-1\n",
"24\n-1\n",
"24\n0\n",
"4\n0\n",
"9\n0\n",
"9\n1\n",
"9\n2\n",
"14\n2\n",
"11\n2\n",
"7\n2\n",
"14\n3\n",
"14\n7\n",
"5\n3\n",
"5\n1\n"
]
} | 1CODECHEF
|
frgtnlng_1475 | Forgotten languages (also known as extinct languages) are languages that are no longer in use. Such languages were, probably, widely used before and no one could have ever imagined that they will become extinct at some point. Unfortunately, that is what happened to them. On the happy side of things, a language may be dead, but some of its words may continue to be used in other languages.
Using something called as the Internet, you have acquired a dictionary of N words of a forgotten language. Meanwhile, you also know K phrases used in modern languages. For each of the words of the forgotten language, your task is to determine whether the word is still in use in any of these K modern phrases or not.
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 a test case description contains two space separated positive integers N and K.
The second line of the description contains N strings denoting a dictionary of the forgotten language.
Each of the next K lines of the description starts with one positive integer L denoting the number of words in the corresponding phrase in modern languages. The integer is followed by L strings (not necessarily distinct) denoting the phrase.
Output
For each test case, output a single line containing N tokens (space-separated): if the i^th word of the dictionary exists in at least one phrase in modern languages, then you should output YES as the i^th token, otherwise NO.
Constraints
1 ≤ T ≤ 20
1 ≤ N ≤ 100
1 ≤ K, L ≤ 50
1 ≤ length of any string in the input ≤ 5
Example
Input:
2
3 2
piygu ezyfo rzotm
1 piygu
6 tefwz tefwz piygu ezyfo tefwz piygu
4 1
kssdy tjzhy ljzym kegqz
4 kegqz kegqz kegqz vxvyj
Output:
YES YES NO
NO NO NO YES | for i in range(input()):
NK = map(int, raw_input().split())
strings = map(str, raw_input().split())
phrases = []
for j in range(NK[1]):
phrases.append(map(str, raw_input().split()))
for j in strings:
out = "NO"
for k in phrases:
if j in k:
out = "YES"
break
print out, | 1Python2
| {
"input": [
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu e{yfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy myzjl legqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy yhzjt myzil kefqz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\npiygu ezofy szotm\n1 ugyip\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tzyhj myzjl zqgek\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz oiygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy yjzlm kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo mtozr\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piyhu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezygo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz jzvxv",
"2\n3 2\npiygu e{yfo rzotm\n1 piygu\n6 tefwz zwfet ugyip ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 zqgek kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz ugyhp\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo t{orm\n1 piygu\n6 tefwz tefwz oiygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz pjygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy yjzlm kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo mtozr\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz zqgek kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjyhz myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piyhu\n6 tefwz tzfwe piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezygo zwfet piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt eyyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz jzvxv",
"2\n3 2\npiygu e{yfo rzoum\n1 piygu\n6 tefwz zwfet ugyip ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz zqgek vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 zqgek kegqz kegqz vxwzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo t{orm\n1 piygu\n6 tefwz tefwz oiygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzyn zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz pjygu ezyfo tefwz piygu\n4 1\nkssdy zjthy yjzlm kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefw{ piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy myzjl legqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo mtozr\n1 piygu\n6 tefwz zwfet piygu ezyfo zwfet piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz zqgek kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tzyhj myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezygo zwfet piygu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy yhzjt myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygt eyyfo rzotm\n1 piygu\n6 tefwz tefwz pjygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz jzvxv",
"2\n3 2\npiygu e{yfo rzoum\n1 ugyip\n6 tefwz zwfet ugyip ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo tewfz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz zqgek vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 zpgek kegqz kegqz vxwzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n4 tefwz tefwz piygu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo t{orm\n1 piygu\n6 tefwz tefwz oiygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzyn zqgek\n4 kegq{ kegqz kegqz vxwzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tezwf tefwz pjygu ezyfo tefwz piygu\n4 1\nkssdy zjthy yjzlm kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezofy rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tzyhj myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy yhzjt myzjl kegqz\n4 kegzq kegqz kegqz vxvyj",
"2\n3 2\npiygt eyyfo rzotm\n1 piygu\n6 tefwz tefwz pjygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz zqgek kegqz jzvxv",
"2\n3 2\npiygu e{yfo rzoum\n1 ugyip\n6 tefwz zwfet ugyip ezzfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo zfwet phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz zqgek vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n4 tefwz tefwz piygu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljyym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo t{orm\n1 piygu\n6 tefwz tefwz oiygu ezyfo tefwz phyfu\n4 1\nkssdy tjzhy ljzyn zqgek\n4 kegq{ kegqz kegqz vxwzj",
"2\n3 2\npiygu ofyze rzotm\n1 piygu\n6 tezwf tefwz pjygu ezyfo tefwz piygu\n4 1\nkssdy zjthy yjzlm kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezofy szotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tzyhj myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy yhzjt myzjl kegqz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\npiygt eyyfo rzotm\n1 piygu\n6 tefwz tefwz pjygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz zqgek kegqz vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo zfwet phygu\n4 1\nkssdy sjzhy ljzym zqgek\n4 kegqz kegqz zqgek vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n4 tefwz tefwz piygu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljyym zqgel\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezofy szotm\n1 ugyip\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tzyhj myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz ugyip ezyfo tefwz giypu\n4 1\nkssdy yhzjt myzjl kegqz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\npiygt eyyfo rzotm\n1 piygu\n6 tefwz tefwz pjygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n1 kegqz zqgek kegqz vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo zfwet phygu\n4 1\nkssdy sjzhy ljzym zqgek\n4 legqz kegqz zqgek vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n4 tefwz tefwz piygu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljyym eqgzl\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezofy szotm\n1 ugypi\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tzyhj myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy yhzjt myzil kegqz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n4 tefwz tefwz giypu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljyym eqgzl\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n4 tefwz tefwz giypu ezyfo tefwz ugyhp\n4 1\nkssdz tjzhy ljyym eqgzl\n4 kegq{ kegqz legqz vxvzj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nksscy yhzjt myzil kefqz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nksscy yjzht myzil kefqz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nksscy yjzht myzil qefkz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz upyig\n4 1\nksscy yjzht myzil qefkz\n4 kegzq kegqz zqgek vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz upyig\n4 1\nksscy yjzht myzil qefkz\n4 legzq kegqz zqgek vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n4 tefwz tefwz piygu ezyfo tefwz upyig\n4 1\nksscy yjzht myzil qefkz\n4 legzq kegqz zqgek vxvyj",
"2\n3 2\nqiygu yzefo rzotm\n1 piygu\n4 tefwz tefwz piygu ezyfo tefwz upyig\n4 1\nksscy yjzht lizym qefkz\n4 legzq kegqz zqgek vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vyvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu fzyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo roztm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu eoyfz rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvyj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz puygh\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefxz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygu e{yfo rzotm\n0 piygu\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo r{otm\n1 piygu\n6 tefwz zwfet piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygt ezyfo t{orm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo r{otm\n1 piygu\n6 tefwz tefwz oiygu ezyfo tefwz phygu\n4 1\nkssdy tjzhy ljzym zqgek\n4 kegq{ kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz piygu\n4 1\nydssk tjzhy myzjl kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo mtozr\n1 ugyip\n6 tefwz zwfet piygu ezyfo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piyhu\n6 tefwz tefwz piygu ezyfo tefwz phygu\n4 1\nkssdy yhzjt ljzym kegqz\n4 kegqz kegqz kegqz vxvzj",
"2\n3 2\npiygu ezyfo rzotm\n1 piygu\n6 tefwz zwfet phygu ezygo tefwz piygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygu yzefo rzotm\n1 piygu\n6 tefwz tefwz piygu ezyfo tefwz giypu\n4 1\nkssdy tjzhy myzjl kegqz\n4 kegqz jegqz kegqz vxvyj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz tefwz piygu eyzfo tefwz phygu\n4 1\nkssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqz jzvxv",
"2\n3 2\npiygu e{yfo rzotm\n1 piygu\n6 tefwz zwfet ugyip ezyfo tefwz piygu\n4 1\nlssdy tjzhy ljzym kegqz\n4 kegqz kegqz kegqy vxvzj",
"2\n3 2\npiygt ezyfo rzotm\n1 piygu\n6 tefwz sefwz piygu ezyfo tefwz phygu\n4 1\nydssk tjzhy ljzym zqgek\n4 kegqz kegqz kegqz vxvzj"
],
"output": [
"YES YES NO\nNO NO NO YES\n",
"YES YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO NO \n",
"YES NO NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"YES NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"NO NO NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n",
"NO YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO NO \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES YES NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO NO NO \nNO NO NO YES \n",
"YES NO NO \nNO NO NO YES \n",
"NO YES NO \nNO NO NO NO \n"
]
} | 1CODECHEF
|
lowsum_1476 | The Head Chef is studying the motivation and satisfaction level of his chefs . The motivation and satisfaction of a Chef can be represented as an integer . The Head Chef wants to know the N th smallest sum of one satisfaction value and one motivation value for various values of N . The satisfaction and motivation values may correspond to the same chef or different chefs . Given two arrays, the first array denoting the motivation value and the second array denoting the satisfaction value of the chefs . We can get a set of sums(add one element from the first array and one from the second). For each query ( denoted by an integer qi ( i = 1 to Q ) , Q denotes number of queries ) , find the qi th element in the set of sums ( in non-decreasing order ) .
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 two space seperated integers K and Q denoting the number of chefs and the number of queries .
The second line of each test case contains K space-separated integers A1, A2, ..., AK denoting the motivation of Chefs.
The third line of each test case contains K space-separated integers B1, B2, ..., BK denoting the satisfaction of Chefs.
The next Q lines contain a single integer qi ( for i = 1 to Q ) , find the qi th element in the set of sums .
Output
For each query of each test case, output a single line containing the answer to the query of the testcase
Constraints
Should contain all the constraints on the input data that you may have. Format it like:
1 ≤ T ≤ 5
1 ≤ K ≤ 20000
1 ≤ Q ≤ 500
1 ≤ qi ( for i = 1 to Q ) ≤ 10000
1 ≤ Ai ≤ 10^18 ( for i = 1 to K )
1 ≤ Bi ≤ 10^18 ( for i = 1 to K )
Example
Input:
1
3 1
1 2 3
4 5 6
4
Output:
7
Explanation
Example case 1. There are 9 elements in the set of sums :
1 + 4 = 5
2 + 4 = 6
1 + 5 = 6
1 + 6 = 7
2 + 5 = 7
3 + 4 = 7
2 + 6 = 8
3 + 5 = 8
3 + 6 = 9
The fourth smallest element is 7. | def solve(a,b,num):
# temp=[w for w in c]
# heapify(temp)
# for i in xrange(num):
# ans=heappop(temp)
# heapify(temp)
# return ans
while(len(a)*len(b)>num):
if len(a)==1 or len(b)==1:
break
if a[-1]>b[-1]:
a.pop()
else:
b.pop()
p=[]
for i in xrange(len(a)):
for j in xrange(len(b)):
p.append(a[i]+b[j])
return sorted(p)
from heapq import *
t=input()
while(t>0):
k,q=map(int,raw_input().strip().split())
a=sorted([int(x) for x in raw_input().strip().split()])
b=sorted([int(x) for x in raw_input().strip().split()])
c=solve(a,b,100001)
# c=[]
# for i in xrange(k):
# for j in xrange(k):
# c.append(a[i]+b[j])
# c.sort()
while(q>0):
num=input()
print c[num-1]
q-=1
t-=1 | 1Python2
| {
"input": [
"1\n3 1\n1 2 3\n4 5 6\n4",
"1\n3 1\n1 4 3\n4 5 6\n4",
"1\n6 1\n1 4 3\n4 5 6\n1",
"1\n6 1\n0 4 3\n4 5 6\n1",
"1\n3 1\n1 2 1\n4 5 6\n4",
"1\n10 1\n1 4 4\n4 2 12\n1",
"1\n10 1\n1 4 4\n4 2 12\n0",
"1\n10 1\n1 4 4\n4 2 13\n0",
"1\n3 1\n1 4 3\n4 10 6\n4",
"1\n6 1\n0 8 6\n2 5 6\n1",
"1\n10 1\n1 4 4\n4 0 12\n1",
"1\n6 1\n0 12 6\n7 5 6\n4",
"1\n12 1\n0 4 4\n4 0 12\n1",
"1\n14 1\n1 4 4\n3 2 11\n0",
"1\n6 1\n0 12 11\n7 5 10\n7",
"1\n8 1\n1 1 3\n4 6 2\n0",
"1\n6 1\n0 10 11\n7 5 10\n7",
"1\n3 1\n-1 0 4\n4 0 3\n1",
"1\n1 1\n2 8 2\n4 2 4\n0",
"1\n10 1\n1 5 -1\n6 -1 2\n1",
"1\n10 1\n1 5 -2\n6 -1 2\n1",
"1\n6 1\n1 4 3\n4 5 6\n0",
"1\n6 1\n0 8 11\n7 5 10\n4",
"1\n1 1\n2 4 1\n4 9 20\n0",
"1\n10 1\n1 7 4\n0 0 13\n0",
"1\n10 1\n1 4 8\n4 4 15\n0",
"1\n6 1\n1 4 4\n4 9 33\n0",
"1\n1 1\n2 4 0\n4 9 29\n0",
"1\n1 1\n-2 5 12\n-3 1 2\n0",
"1\n1 1\n1 10 0\n4 9 20\n0",
"1\n1 1\n2 4 0\n4 9 54\n0",
"1\n6 1\n1 4 3\n4 5 6\n4",
"1\n6 1\n1 4 3\n4 2 6\n4",
"1\n6 1\n1 4 3\n4 5 12\n1",
"1\n6 1\n0 4 6\n4 5 6\n1",
"1\n10 1\n1 4 3\n4 5 12\n1",
"1\n6 1\n0 8 6\n4 5 6\n1",
"1\n10 1\n1 4 4\n4 5 12\n1",
"1\n6 1\n0 8 6\n7 5 6\n1",
"1\n6 1\n0 8 6\n7 5 6\n2",
"1\n6 1\n0 12 6\n7 5 6\n2",
"1\n11 1\n0 12 6\n7 5 6\n2",
"1\n11 1\n0 12 6\n7 5 3\n2",
"1\n11 1\n0 12 6\n5 5 3\n2",
"1\n11 1\n0 18 6\n5 5 3\n2",
"1\n3 1\n1 2 3\n4 5 6\n2",
"1\n6 1\n1 4 3\n1 5 6\n4",
"1\n6 1\n1 4 0\n4 5 6\n1",
"1\n6 1\n0 4 3\n4 5 12\n1",
"1\n3 1\n1 2 1\n8 5 6\n4",
"1\n6 1\n1 4 3\n4 2 0\n4",
"1\n4 1\n1 4 3\n4 5 12\n1",
"1\n6 1\n0 4 12\n4 5 6\n1",
"1\n10 1\n1 4 4\n4 3 12\n1",
"1\n6 1\n0 14 6\n7 5 6\n2",
"1\n6 1\n0 8 6\n7 5 3\n2",
"1\n10 1\n1 4 4\n3 2 12\n0",
"1\n6 1\n0 12 6\n7 5 6\n3",
"1\n10 1\n1 4 4\n4 0 13\n0",
"1\n11 1\n0 12 6\n7 5 7\n2",
"1\n11 1\n0 12 6\n7 2 3\n2",
"1\n11 1\n0 18 6\n5 5 3\n1",
"1\n3 1\n1 2 3\n4 6 6\n2",
"1\n3 1\n2 4 3\n4 10 6\n4",
"1\n6 1\n1 4 3\n0 5 6\n4",
"1\n6 1\n1 4 3\n4 9 12\n1",
"1\n3 1\n1 2 1\n8 5 2\n4",
"1\n6 1\n1 0 3\n4 2 0\n4",
"1\n4 1\n1 4 3\n4 5 2\n1",
"1\n6 1\n1 4 12\n4 5 6\n1",
"1\n10 1\n1 4 4\n5 3 12\n1",
"1\n6 1\n0 14 6\n10 5 6\n2",
"1\n12 1\n1 4 4\n4 0 12\n1",
"1\n6 1\n0 5 6\n7 5 3\n2",
"1\n14 1\n1 4 4\n3 2 12\n0",
"1\n10 1\n1 4 4\n0 0 13\n0",
"1\n11 1\n0 12 6\n7 5 7\n4",
"1\n7 1\n0 12 6\n7 2 3\n2",
"1\n11 1\n1 18 6\n5 5 3\n1",
"1\n3 1\n1 2 1\n4 6 6\n2",
"1\n3 1\n2 4 3\n4 8 6\n4",
"1\n6 1\n1 4 2\n1 5 6\n4",
"1\n6 1\n1 4 3\n4 9 20\n1",
"1\n3 1\n1 2 1\n1 5 2\n4",
"1\n6 1\n0 0 3\n4 2 0\n4",
"1\n8 1\n1 4 3\n4 5 2\n1",
"1\n6 1\n1 5 12\n4 5 6\n1",
"1\n10 1\n1 4 4\n5 3 2\n1",
"1\n6 1\n0 5 6\n2 5 3\n2",
"1\n14 1\n1 4 4\n3 2 13\n0",
"1\n6 1\n0 12 6\n7 5 10\n4",
"1\n10 1\n1 4 4\n0 0 0\n0",
"1\n11 1\n0 12 6\n6 5 7\n4",
"1\n11 1\n0 12 6\n7 2 3\n1",
"1\n10 1\n1 18 6\n5 5 3\n1",
"1\n3 1\n2 4 3\n4 8 3\n4",
"1\n6 1\n1 4 2\n1 5 12\n4",
"1\n6 1\n1 4 1\n4 9 20\n1",
"1\n3 1\n1 2 2\n1 5 2\n4",
"1\n8 1\n1 1 3\n4 5 2\n1",
"1\n6 1\n1 10 12\n4 5 6\n1"
],
"output": [
"7",
"7\n",
"5\n",
"4\n",
"6\n",
"3\n",
"16\n",
"17\n",
"8\n",
"2\n",
"1\n",
"11\n",
"0\n",
"15\n",
"19\n",
"9\n",
"18\n",
"-1\n",
"12\n",
"-2\n",
"-3\n",
"10\n",
"13\n",
"24\n",
"20\n",
"23\n",
"37\n",
"33\n",
"14\n",
"30\n",
"58\n",
"7\n",
"6\n",
"5\n",
"4\n",
"5\n",
"4\n",
"5\n",
"5\n",
"6\n",
"6\n",
"6\n",
"5\n",
"5\n",
"5\n",
"6\n",
"6\n",
"4\n",
"4\n",
"7\n",
"4\n",
"5\n",
"4\n",
"4\n",
"6\n",
"5\n",
"16\n",
"7\n",
"17\n",
"7\n",
"3\n",
"3\n",
"6\n",
"8\n",
"6\n",
"5\n",
"6\n",
"3\n",
"3\n",
"5\n",
"4\n",
"6\n",
"1\n",
"5\n",
"16\n",
"17\n",
"11\n",
"3\n",
"4\n",
"5\n",
"8\n",
"6\n",
"5\n",
"3\n",
"2\n",
"3\n",
"5\n",
"3\n",
"3\n",
"17\n",
"11\n",
"4\n",
"11\n",
"2\n",
"4\n",
"7\n",
"6\n",
"5\n",
"3\n",
"3\n",
"5\n"
]
} | 1CODECHEF
|
prime1_1477 | Shridhar wants to generate some prime numbers for his cryptosystem. Help him!
Your task is to generate all prime numbers between two given numbers.
Input
The first line contains t, the number of test cases (less then or equal to 10).
Followed by t lines which contain two numbers m and n (1 ≤ m ≤ n ≤ 1000000000, n-m ≤ 100000) separated by a space.
Output
For every test case print all prime numbers p such that m ≤ p ≤ n,
one number per line. Separate the answers for each test case by an empty line.
Example
Input:
2
1 10
3 5
Output:
2
3
5
7
3
5
Warning: large Input/Output data, be careful with certain languages (though most should be OK if the algorithm is well designed) | import sys
import math
def prime_gen(n1,n2):
primes = []
notprimes=[0]*(n2-n1+1)
l=int(math.sqrt(n2))
for i in xrange(2,l+1):
j=n1//i
while j*i<=n2:
if j > 1 and j*i >= n1 :
notprimes[j*i-n1] = 1
j=j+1
for i in xrange(n1,n2+1):
if notprimes[i-n1] == 0 and i>1 :
print i
def main():
t = int(sys.stdin.readline())
for i in xrange(t):
n1,n2=map(int, sys.stdin.readline().split(' '))
prime_gen(n1,n2)
if __name__=='__main__':
main() | 1Python2
| {
"input": [
"2\n1 10\n3 5",
"2\n1 10\n4 5",
"2\n1 10\n7 6",
"2\n1 10\n3 7",
"2\n1 5\n22 5",
"2\n1 10\n1 7",
"2\n1 10\n1 6",
"2\n1 5\n1 7",
"2\n1 6\n1 6",
"2\n2 4\n1 9",
"2\n4 10\n22 3",
"2\n4 5\n22 4",
"2\n1 8\n3 5",
"2\n1 10\n6 11",
"2\n1 4\n1 6",
"2\n1 18\n28 3",
"2\n2 10\n1 13",
"2\n2 13\n12 3",
"2\n4 20\n22 4",
"2\n2 14\n4 6",
"2\n1 5\n4 5",
"2\n1 4\n1 4",
"2\n2 4\n1 13",
"2\n2 10\n6 9",
"2\n2 14\n4 8",
"2\n2 11\n22 13",
"2\n2 11\n3 5",
"2\n2 18\n3 5",
"2\n1 7\n1 4",
"2\n2 6\n4 8",
"2\n2 11\n3 4",
"2\n2 14\n3 5",
"2\n1 8\n3 3",
"2\n4 15\n22 1",
"2\n2 16\n3 4",
"2\n4 14\n3 5",
"2\n4 14\n3 4",
"2\n3 5\n20 2",
"2\n3 3\n20 2",
"2\n3 6\n5 7",
"2\n2 12\n6 7",
"2\n4 12\n6 1",
"2\n1 4\n31 13",
"2\n2 12\n3 7",
"2\n1 10\n4 9",
"2\n1 19\n3 7",
"2\n4 10\n1 9",
"2\n4 10\n3 9",
"2\n1 10\n6 20",
"2\n1 20\n20 18",
"2\n1 12\n2 9",
"2\n3 10\n1 13",
"2\n2 22\n4 6",
"2\n3 6\n1 7",
"2\n2 4\n1 20",
"2\n3 11\n22 13",
"2\n2 11\n1 5",
"2\n2 11\n4 8",
"2\n2 14\n1 5",
"2\n2 5\n3 7",
"2\n4 14\n2 5",
"2\n2 10\n1 12",
"2\n3 6\n7 13",
"2\n1 3\n6 7",
"2\n2 12\n6 11",
"2\n2 24\n3 7",
"2\n2 21\n3 5",
"2\n4 18\n6 1",
"2\n1 20\n7 9",
"2\n1 5\n1 16",
"2\n4 10\n3 15",
"2\n3 12\n6 7",
"2\n1 12\n2 3",
"2\n2 17\n1 5",
"2\n5 5\n8 11",
"2\n3 8\n64 6",
"2\n1 3\n3 3",
"2\n3 24\n3 7",
"2\n1 11\n8 16",
"2\n1 19\n6 11",
"2\n2 10\n3 15",
"2\n3 12\n4 7",
"2\n4 5\n3 10",
"2\n5 4\n8 11",
"2\n2 7\n20 23",
"2\n4 6\n13 13",
"2\n1 7\n12 22",
"2\n3 24\n1 7",
"2\n1 4\n6 12",
"2\n7 12\n6 2",
"2\n1 5\n8 16",
"2\n3 12\n1 7",
"2\n2 18\n3 9",
"2\n5 4\n8 20",
"2\n2 3\n3 5",
"2\n3 6\n13 13",
"2\n1 4\n2 12",
"2\n1 19\n4 12",
"2\n4 16\n1 9",
"2\n3 12\n1 6",
"2\n4 14\n5 6"
],
"output": [
"2\n3\n5\n7\n3\n5\n",
"2\n3\n5\n7\n5\n",
"2\n3\n5\n7\n",
"2\n3\n5\n7\n3\n5\n7\n",
"2\n3\n5\n",
"2\n3\n5\n7\n2\n3\n5\n7\n",
"2\n3\n5\n7\n2\n3\n5\n",
"2\n3\n5\n2\n3\n5\n7\n",
"2\n3\n5\n2\n3\n5\n",
"2\n3\n2\n3\n5\n7\n",
"5\n7\n",
"5\n",
"2\n3\n5\n7\n3\n5\n",
"2\n3\n5\n7\n7\n11\n",
"2\n3\n2\n3\n5\n",
"2\n3\n5\n7\n11\n13\n17\n",
"2\n3\n5\n7\n2\n3\n5\n7\n11\n13\n",
"2\n3\n5\n7\n11\n13\n",
"5\n7\n11\n13\n17\n19\n",
"2\n3\n5\n7\n11\n13\n5\n",
"2\n3\n5\n5\n",
"2\n3\n2\n3\n",
"2\n3\n2\n3\n5\n7\n11\n13\n",
"2\n3\n5\n7\n7\n",
"2\n3\n5\n7\n11\n13\n5\n7\n",
"2\n3\n5\n7\n11\n",
"2\n3\n5\n7\n11\n3\n5\n",
"2\n3\n5\n7\n11\n13\n17\n3\n5\n",
"2\n3\n5\n7\n2\n3\n",
"2\n3\n5\n5\n7\n",
"2\n3\n5\n7\n11\n3\n",
"2\n3\n5\n7\n11\n13\n3\n5\n",
"2\n3\n5\n7\n3\n",
"5\n7\n11\n13\n",
"2\n3\n5\n7\n11\n13\n3\n",
"5\n7\n11\n13\n3\n5\n",
"5\n7\n11\n13\n3\n",
"3\n5\n",
"3\n",
"3\n5\n5\n7\n",
"2\n3\n5\n7\n11\n7\n",
"5\n7\n11\n",
"2\n3\n",
"2\n3\n5\n7\n11\n3\n5\n7\n",
"2\n3\n5\n7\n5\n7\n",
"2\n3\n5\n7\n11\n13\n17\n19\n3\n5\n7\n",
"5\n7\n2\n3\n5\n7\n",
"5\n7\n3\n5\n7\n",
"2\n3\n5\n7\n7\n11\n13\n17\n19\n",
"2\n3\n5\n7\n11\n13\n17\n19\n",
"2\n3\n5\n7\n11\n2\n3\n5\n7\n",
"3\n5\n7\n2\n3\n5\n7\n11\n13\n",
"2\n3\n5\n7\n11\n13\n17\n19\n5\n",
"3\n5\n2\n3\n5\n7\n",
"2\n3\n2\n3\n5\n7\n11\n13\n17\n19\n",
"3\n5\n7\n11\n",
"2\n3\n5\n7\n11\n2\n3\n5\n",
"2\n3\n5\n7\n11\n5\n7\n",
"2\n3\n5\n7\n11\n13\n2\n3\n5\n",
"2\n3\n5\n3\n5\n7\n",
"5\n7\n11\n13\n2\n3\n5\n",
"2\n3\n5\n7\n2\n3\n5\n7\n11\n",
"3\n5\n7\n11\n13\n",
"2\n3\n7\n",
"2\n3\n5\n7\n11\n7\n11\n",
"2\n3\n5\n7\n11\n13\n17\n19\n23\n3\n5\n7\n",
"2\n3\n5\n7\n11\n13\n17\n19\n3\n5\n",
"5\n7\n11\n13\n17\n",
"2\n3\n5\n7\n11\n13\n17\n19\n7\n",
"2\n3\n5\n2\n3\n5\n7\n11\n13\n",
"5\n7\n3\n5\n7\n11\n13\n",
"3\n5\n7\n11\n7\n",
"2\n3\n5\n7\n11\n2\n3\n",
"2\n3\n5\n7\n11\n13\n17\n2\n3\n5\n",
"5\n11\n",
"3\n5\n7\n",
"2\n3\n3\n",
"3\n5\n7\n11\n13\n17\n19\n23\n3\n5\n7\n",
"2\n3\n5\n7\n11\n11\n13\n",
"2\n3\n5\n7\n11\n13\n17\n19\n7\n11\n",
"2\n3\n5\n7\n3\n5\n7\n11\n13\n",
"3\n5\n7\n11\n5\n7\n",
"5\n3\n5\n7\n",
"11\n",
"2\n3\n5\n7\n23\n",
"5\n13\n",
"2\n3\n5\n7\n13\n17\n19\n",
"3\n5\n7\n11\n13\n17\n19\n23\n2\n3\n5\n7\n",
"2\n3\n7\n11\n",
"7\n11\n",
"2\n3\n5\n11\n13\n",
"3\n5\n7\n11\n2\n3\n5\n7\n",
"2\n3\n5\n7\n11\n13\n17\n3\n5\n7\n",
"11\n13\n17\n19\n",
"2\n3\n3\n5\n",
"3\n5\n13\n",
"2\n3\n2\n3\n5\n7\n11\n",
"2\n3\n5\n7\n11\n13\n17\n19\n5\n7\n11\n",
"5\n7\n11\n13\n2\n3\n5\n7\n",
"3\n5\n7\n11\n2\n3\n5\n",
"5\n7\n11\n13\n5\n"
]
} | 1CODECHEF
|
tapalin_1478 | Do you know that The Chef has a special interest in palindromes? Yes he does! Almost all of the dishes in his restaurant is named by a palindrome strings. The problem is that a name of a dish should not be too long, so The Chef has only limited choices when naming a new dish.
For the given positive integer N, your task is to calculate the number of palindrome strings of length not exceeding N, that contain only lowercase letters of English alphabet (letters from 'a' to 'z', inclusive). Recall that a palindrome is a string that reads the same left to right as right to left (as in "radar").
For example:
For N = 1, we have 26 different palindromes of length not exceeding N: "a", "b", ..., "z".
For N = 2 we have 52 different palindromes of length not exceeding N: "a", "b", ..., "z", "aa", "bb", ..., "zz".
For N = 3 we have 728 different palindromes of length not exceeding N: "a", "b", ..., "z", "aa", "bb", ..., "zz", "aaa", "aba", ..., "aza", "bab", "bbb", ..., "bzb", ..., "zaz", "zbz", ..., "zzz".
Since the answer can be quite large you should output it modulo 1000000007 (10^9 + 7). Yes, we know, most of you already hate this modulo, but there is nothing we can do with it :)
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 only line of each test case contains a single integer N.
Output
For each test case, output a single line containing the answer for the corresponding test case.
Constrains
1 ≤ T ≤ 1000
1 ≤ N ≤ 10^9
Example
Input:
5
1
2
3
4
100
Output:
26
52
728
1404
508533804
Explanation
The first three examples are explained in the problem statement above. | from sys import stdin
from math import ceil
MOD=1000000007
inv25=pow(25,MOD-2,MOD)
t=int(stdin.readline())
for i in range(0,t):
n=int(stdin.readline())
k=(n+1)/2
p26=pow(26,k,MOD)
ans = 52 * (p26-1) % MOD * inv25%MOD
if n&1:
ans = (ans + MOD - p26)%MOD
print ans | 1Python2
| {
"input": [
"5\n1\n2\n3\n4\n100",
"5\n1\n3\n3\n4\n100",
"5\n1\n2\n3\n4\n110",
"5\n1\n2\n1\n4\n110",
"5\n1\n4\n1\n4\n110",
"5\n1\n2\n3\n4\n101",
"5\n1\n3\n3\n4\n110",
"5\n1\n2\n3\n4\n111",
"5\n1\n2\n2\n4\n110",
"5\n1\n4\n1\n4\n100",
"5\n1\n2\n3\n5\n100",
"5\n2\n3\n3\n4\n110",
"5\n1\n2\n6\n4\n111",
"5\n1\n4\n1\n2\n100",
"5\n1\n2\n3\n1\n100",
"5\n2\n3\n3\n4\n100",
"5\n1\n2\n6\n8\n111",
"5\n1\n4\n1\n1\n100",
"5\n1\n2\n1\n1\n100",
"5\n2\n3\n3\n2\n100",
"5\n1\n2\n6\n8\n110",
"5\n2\n3\n3\n2\n101",
"5\n1\n2\n6\n10\n110",
"5\n1\n2\n8\n10\n110",
"5\n1\n2\n8\n10\n100",
"5\n1\n2\n8\n2\n100",
"5\n1\n2\n8\n2\n110",
"5\n1\n2\n8\n2\n111",
"5\n1\n4\n2\n4\n110",
"5\n1\n3\n3\n4\n101",
"5\n2\n2\n3\n4\n111",
"5\n1\n4\n1\n4\n101",
"5\n1\n2\n3\n8\n100",
"5\n2\n3\n3\n2\n110",
"5\n1\n4\n1\n3\n100",
"5\n1\n2\n5\n1\n100",
"5\n2\n3\n4\n4\n100",
"5\n1\n2\n6\n8\n101",
"5\n2\n2\n1\n1\n100",
"5\n2\n3\n1\n2\n100",
"5\n1\n2\n6\n8\n100",
"5\n4\n3\n3\n2\n101",
"5\n1\n2\n2\n10\n110",
"5\n1\n2\n15\n10\n100",
"5\n2\n2\n8\n2\n110",
"5\n1\n2\n9\n2\n111",
"5\n1\n4\n3\n4\n110",
"5\n2\n3\n1\n2\n110",
"5\n2\n4\n1\n3\n100",
"5\n2\n3\n4\n4\n110",
"5\n1\n2\n6\n1\n101",
"5\n2\n2\n2\n1\n100",
"5\n2\n1\n1\n2\n100",
"5\n7\n3\n3\n2\n101",
"5\n1\n2\n2\n13\n110",
"5\n1\n1\n15\n10\n100",
"5\n2\n2\n3\n2\n110",
"5\n2\n2\n9\n2\n111",
"5\n2\n4\n3\n4\n110",
"5\n2\n4\n1\n2\n100",
"5\n2\n3\n4\n7\n110",
"5\n1\n2\n6\n1\n100",
"5\n7\n6\n3\n2\n101",
"5\n1\n3\n2\n13\n110",
"5\n1\n1\n15\n1\n100",
"5\n2\n4\n3\n2\n110",
"5\n3\n2\n9\n2\n111",
"5\n2\n4\n4\n4\n110",
"5\n2\n3\n1\n2\n101",
"5\n2\n4\n4\n7\n110",
"5\n1\n2\n10\n1\n101",
"5\n2\n3\n2\n13\n110",
"5\n2\n4\n3\n2\n111",
"5\n3\n2\n17\n2\n111",
"5\n2\n4\n4\n1\n110",
"5\n2\n1\n1\n2\n101",
"5\n2\n4\n2\n7\n110",
"5\n1\n4\n10\n1\n101",
"5\n2\n3\n2\n12\n110",
"5\n2\n2\n1\n2\n101",
"5\n2\n4\n1\n7\n110",
"5\n2\n4\n10\n1\n101",
"5\n3\n3\n2\n12\n110",
"5\n2\n2\n1\n2\n111",
"5\n2\n8\n1\n7\n110",
"5\n2\n4\n4\n1\n101",
"5\n3\n3\n2\n12\n100",
"5\n2\n2\n1\n4\n111",
"5\n2\n8\n1\n8\n110",
"5\n2\n4\n4\n1\n100",
"5\n3\n3\n2\n5\n100",
"5\n1\n2\n1\n4\n111",
"5\n3\n8\n1\n8\n110",
"5\n2\n5\n4\n1\n100",
"5\n1\n3\n2\n5\n100",
"5\n3\n9\n1\n8\n110",
"5\n2\n5\n7\n1\n100",
"5\n1\n3\n2\n5\n101",
"5\n3\n5\n1\n8\n110",
"5\n1\n3\n2\n5\n001",
"5\n3\n5\n1\n5\n110"
],
"output": [
"26\n52\n728\n1404\n508533804\n",
"26\n728\n728\n1404\n508533804\n",
"26\n52\n728\n1404\n316452997\n",
"26\n52\n26\n1404\n316452997\n",
"26\n1404\n26\n1404\n316452997\n",
"26\n52\n728\n1404\n865206338\n",
"26\n728\n728\n1404\n316452997\n",
"26\n52\n728\n1404\n772115461\n",
"26\n52\n52\n1404\n316452997\n",
"26\n1404\n26\n1404\n508533804\n",
"26\n52\n728\n18980\n508533804\n",
"52\n728\n728\n1404\n316452997\n",
"26\n52\n36556\n1404\n772115461\n",
"26\n1404\n26\n52\n508533804\n",
"26\n52\n728\n26\n508533804\n",
"52\n728\n728\n1404\n508533804\n",
"26\n52\n36556\n950508\n772115461\n",
"26\n1404\n26\n26\n508533804\n",
"26\n52\n26\n26\n508533804\n",
"52\n728\n728\n52\n508533804\n",
"26\n52\n36556\n950508\n316452997\n",
"52\n728\n728\n52\n865206338\n",
"26\n52\n36556\n24713260\n316452997\n",
"26\n52\n950508\n24713260\n316452997\n",
"26\n52\n950508\n24713260\n508533804\n",
"26\n52\n950508\n52\n508533804\n",
"26\n52\n950508\n52\n316452997\n",
"26\n52\n950508\n52\n772115461\n",
"26\n1404\n52\n1404\n316452997\n",
"26\n728\n728\n1404\n865206338\n",
"52\n52\n728\n1404\n772115461\n",
"26\n1404\n26\n1404\n865206338\n",
"26\n52\n728\n950508\n508533804\n",
"52\n728\n728\n52\n316452997\n",
"26\n1404\n26\n728\n508533804\n",
"26\n52\n18980\n26\n508533804\n",
"52\n728\n1404\n1404\n508533804\n",
"26\n52\n36556\n950508\n865206338\n",
"52\n52\n26\n26\n508533804\n",
"52\n728\n26\n52\n508533804\n",
"26\n52\n36556\n950508\n508533804\n",
"1404\n728\n728\n52\n865206338\n",
"26\n52\n52\n24713260\n316452997\n",
"26\n52\n533228165\n24713260\n508533804\n",
"52\n52\n950508\n52\n316452997\n",
"26\n52\n12831884\n52\n772115461\n",
"26\n1404\n728\n1404\n316452997\n",
"52\n728\n26\n52\n316452997\n",
"52\n1404\n26\n728\n508533804\n",
"52\n728\n1404\n1404\n316452997\n",
"26\n52\n36556\n26\n865206338\n",
"52\n52\n52\n26\n508533804\n",
"52\n26\n26\n52\n508533804\n",
"493532\n728\n728\n52\n865206338\n",
"26\n52\n52\n674354932\n316452997\n",
"26\n26\n533228165\n24713260\n508533804\n",
"52\n52\n728\n52\n316452997\n",
"52\n52\n12831884\n52\n772115461\n",
"52\n1404\n728\n1404\n316452997\n",
"52\n1404\n26\n52\n508533804\n",
"52\n728\n1404\n493532\n316452997\n",
"26\n52\n36556\n26\n508533804\n",
"493532\n36556\n728\n52\n865206338\n",
"26\n728\n52\n674354932\n316452997\n",
"26\n26\n533228165\n26\n508533804\n",
"52\n1404\n728\n52\n316452997\n",
"728\n52\n12831884\n52\n772115461\n",
"52\n1404\n1404\n1404\n316452997\n",
"52\n728\n26\n52\n865206338\n",
"52\n1404\n1404\n493532\n316452997\n",
"26\n52\n24713260\n26\n865206338\n",
"52\n728\n52\n674354932\n316452997\n",
"52\n1404\n728\n52\n772115461\n",
"728\n52\n863932251\n52\n772115461\n",
"52\n1404\n1404\n26\n316452997\n",
"52\n26\n26\n52\n865206338\n",
"52\n1404\n52\n493532\n316452997\n",
"26\n1404\n24713260\n26\n865206338\n",
"52\n728\n52\n642544812\n316452997\n",
"52\n52\n26\n52\n865206338\n",
"52\n1404\n26\n493532\n316452997\n",
"52\n1404\n24713260\n26\n865206338\n",
"728\n728\n52\n642544812\n316452997\n",
"52\n52\n26\n52\n772115461\n",
"52\n950508\n26\n493532\n316452997\n",
"52\n1404\n1404\n26\n865206338\n",
"728\n728\n52\n642544812\n508533804\n",
"52\n52\n26\n1404\n772115461\n",
"52\n950508\n26\n950508\n316452997\n",
"52\n1404\n1404\n26\n508533804\n",
"728\n728\n52\n18980\n508533804\n",
"26\n52\n26\n1404\n772115461\n",
"728\n950508\n26\n950508\n316452997\n",
"52\n18980\n1404\n26\n508533804\n",
"26\n728\n52\n18980\n508533804\n",
"728\n12831884\n26\n950508\n316452997\n",
"52\n18980\n493532\n26\n508533804\n",
"26\n728\n52\n18980\n865206338\n",
"728\n18980\n26\n950508\n316452997\n",
"26\n728\n52\n18980\n26\n",
"728\n18980\n26\n18980\n316452997\n"
]
} | 1CODECHEF
|
1011_A. Stages_1479 | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are n stages available. The rocket must contain exactly k of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — 26 tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input
The first line of input contains two integers — n and k (1 ≤ k ≤ n ≤ 50) – the number of available stages and the number of stages to use in the rocket.
The second line contains string s, which consists of exactly n lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Examples
Input
5 3
xyabd
Output
29
Input
7 4
problem
Output
34
Input
2 2
ab
Output
-1
Input
12 1
abaabbaaabbb
Output
1
Note
In the first example, the following rockets satisfy the condition:
* "adx" (weight is 1+4+24=29);
* "ady" (weight is 1+4+25=30);
* "bdx" (weight is 2+4+24=30);
* "bdy" (weight is 2+4+25=31).
Rocket "adx" has the minimal weight, so the answer is 29.
In the second example, target rocket is "belo". Its weight is 2+5+12+15=34.
In the third example, n=k=2, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | n, k = map(int, raw_input().split())
st = list(raw_input().strip())
st.sort()
cost = 0
count = 0
last = 0
for i in st:
if ord(i) >= last + 2 and count < k:
last = ord(i)
count += 1
cost += ord(i) - ord('a')
if count < k:
print -1
else:
print cost + k
| 1Python2
| {
"input": [
"7 4\nproblem\n",
"2 2\nab\n",
"5 3\nxyabd\n",
"12 1\nabaabbaaabbb\n",
"50 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 1\nxz\n",
"2 2\nac\n",
"50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"50 2\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"12 6\nfwseyrarkwcd\n",
"20 20\ntzmvhskkyugkuuxpvtbh\n",
"1 1\nc\n",
"3 1\nzzz\n",
"30 15\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"2 1\nac\n",
"38 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 13\nhzdxpbfvrltnj\n",
"4 3\nadjz\n",
"40 30\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 31\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"1 1\na\n",
"1 1\nn\n",
"2 2\nad\n",
"50 14\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 7\niuiukrxcml\n",
"10 8\nsmzeblyjqw\n",
"3 3\naoz\n",
"13 13\nuwgmkyqeiaocs\n",
"5 1\naaddd\n",
"42 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 3\nac\n",
"12 6\nfvseyrarkwcd\n",
"3 1\nzyz\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnj\n",
"1 1\nb\n",
"2 2\nae\n",
"10 8\nwqjylbezms\n",
"3 3\nzoa\n",
"5 3\ndbayx\n",
"12 6\nfvsdyrarkwcd\n",
"5 3\ndbayy\n",
"13 7\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkqawcd\n",
"13 3\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkpawcd\n",
"50 2\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"13 4\nhzdxpbfvrltnj\n",
"1 1\no\n",
"10 7\niujukrxcml\n",
"7 4\nproblfm\n",
"12 7\nfvsdyrkpawcd\n",
"20 4\ntzmwgskkyuhkuuypvtbh\n",
"20 9\ntzmwgskkyuhkuuypvtbh\n",
"20 20\ntzmwhskkyugkuuxpvtbh\n",
"30 15\nvaotjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nca\n",
"40 33\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 23\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"50 14\nqwertyuiopaldfghjkszxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 11\niuiukrxcml\n",
"13 13\nuwgmkyqeiaocr\n",
"5 1\nadadd\n",
"42 1\naabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"20 20\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"13 9\njntlrvfbpxdzh\n",
"10 11\nlmcxrkuiui\n",
"3 1\naoz\n",
"13 13\nvwgmkyqeiaocr\n",
"5 1\naddad\n",
"12 6\nfvsdyrkrawcd\n",
"20 15\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkuiui\n",
"1 1\naoz\n",
"2 1\naddad\n",
"20 15\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuui\n",
"3 1\naddad\n",
"20 15\ntzmwgskkyuhkuuypvtbh\n",
"30 34\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\nlmcxrkiuui\n",
"20 20\ntzmwgskkyuhkuuypvtbh\n",
"12 10\nfwseyrarkwcd\n",
"20 20\nhbtvpxuukguykkshvmzt\n",
"30 15\nwizolzzkfulwgioksfxmcxmnnjtoav\n",
"24 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"4 6\nadjz\n",
"50 31\nzpbaiqnnlcotqnfianxloqglgkabnqamenevmdqyrtlxoyybha\n",
"2 2\nda\n",
"10 8\nslzeblyjqw\n",
"3 6\nzoa\n",
"5 2\naaddd\n",
"2 2\nba\n",
"5 5\nxyabd\n",
"12 1\nabaacbaaabbb\n",
"12 4\nfvseyrarkwcd\n",
"3 1\nzzy\n",
"30 15\nvaosjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nba\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtylmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnk\n",
"40 33\nxumfrglllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 26\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"13 13\nrcoaieqykmgwu\n",
"12 6\nfvsryradkwcd\n",
"30 13\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"4 1\naddad\n",
"20 14\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkiulwgfoksfxmcxmnnjtoaw\n",
"2 1\naoz\n",
"20 22\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgiokrfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuiu\n",
"13 3\nvwgmkyqoiaecr\n",
"3 2\naddad\n",
"30 49\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\niuuikrxcml\n",
"20 20\nhbtvpxuukguykkthvmzt\n",
"30 15\nwizolzznfulwgioksfxmcxmnkjtoav\n",
"24 1\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n"
],
"output": [
"34\n",
"-1\n",
"29\n",
"1\n",
"1\n",
"24\n",
"4\n",
"169\n",
"-1\n",
"61\n",
"-1\n",
"3\n",
"26\n",
"-1\n",
"1\n",
"5\n",
"182\n",
"15\n",
"-1\n",
"-1\n",
"1\n",
"14\n",
"5\n",
"-1\n",
"99\n",
"113\n",
"42\n",
"169\n",
"1\n",
"1\n",
"-1\n",
"60\n",
"25\n",
"5\n",
"90\n",
"2\n",
"6\n",
"113\n",
"42\n",
"29\n",
"61\n",
"30\n",
"49\n",
"57\n",
"9\n",
"55\n",
"4\n",
"20\n",
"15\n",
"99\n",
"35\n",
"77\n",
"33\n",
"137\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"90\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"61\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"5\n",
"113\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"1\n",
"20\n",
"25\n",
"-1\n",
"1\n",
"5\n",
"99\n",
"-1\n",
"-1\n",
"-1\n",
"61\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"9\n",
"5\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n"
]
} | 2CODEFORCES
|
1011_A. Stages_1480 | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are n stages available. The rocket must contain exactly k of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — 26 tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input
The first line of input contains two integers — n and k (1 ≤ k ≤ n ≤ 50) – the number of available stages and the number of stages to use in the rocket.
The second line contains string s, which consists of exactly n lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Examples
Input
5 3
xyabd
Output
29
Input
7 4
problem
Output
34
Input
2 2
ab
Output
-1
Input
12 1
abaabbaaabbb
Output
1
Note
In the first example, the following rockets satisfy the condition:
* "adx" (weight is 1+4+24=29);
* "ady" (weight is 1+4+25=30);
* "bdx" (weight is 2+4+24=30);
* "bdy" (weight is 2+4+25=31).
Rocket "adx" has the minimal weight, so the answer is 29.
In the second example, target rocket is "belo". Its weight is 2+5+12+15=34.
In the third example, n=k=2, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | #include <bits/stdc++.h>
using namespace std;
int main() {
std::ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n, k;
cin >> n >> k;
string s;
cin >> s;
sort(s.begin(), s.end());
string ans;
ans += s[0];
k--;
for (int i = 1; i < s.length() && k > 0; i++) {
if (k > 0 && s[i] - ans[ans.length() - 1] > 1) {
ans += s[i];
k--;
}
}
if (k == 0) {
int count = 0;
for (int i = 0; i < ans.length(); i++) {
count += ans[i] - 96;
}
cout << count << '\n';
} else
cout << "-1\n";
}
| 2C++
| {
"input": [
"7 4\nproblem\n",
"2 2\nab\n",
"5 3\nxyabd\n",
"12 1\nabaabbaaabbb\n",
"50 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 1\nxz\n",
"2 2\nac\n",
"50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"50 2\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"12 6\nfwseyrarkwcd\n",
"20 20\ntzmvhskkyugkuuxpvtbh\n",
"1 1\nc\n",
"3 1\nzzz\n",
"30 15\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"2 1\nac\n",
"38 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 13\nhzdxpbfvrltnj\n",
"4 3\nadjz\n",
"40 30\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 31\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"1 1\na\n",
"1 1\nn\n",
"2 2\nad\n",
"50 14\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 7\niuiukrxcml\n",
"10 8\nsmzeblyjqw\n",
"3 3\naoz\n",
"13 13\nuwgmkyqeiaocs\n",
"5 1\naaddd\n",
"42 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 3\nac\n",
"12 6\nfvseyrarkwcd\n",
"3 1\nzyz\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnj\n",
"1 1\nb\n",
"2 2\nae\n",
"10 8\nwqjylbezms\n",
"3 3\nzoa\n",
"5 3\ndbayx\n",
"12 6\nfvsdyrarkwcd\n",
"5 3\ndbayy\n",
"13 7\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkqawcd\n",
"13 3\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkpawcd\n",
"50 2\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"13 4\nhzdxpbfvrltnj\n",
"1 1\no\n",
"10 7\niujukrxcml\n",
"7 4\nproblfm\n",
"12 7\nfvsdyrkpawcd\n",
"20 4\ntzmwgskkyuhkuuypvtbh\n",
"20 9\ntzmwgskkyuhkuuypvtbh\n",
"20 20\ntzmwhskkyugkuuxpvtbh\n",
"30 15\nvaotjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nca\n",
"40 33\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 23\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"50 14\nqwertyuiopaldfghjkszxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 11\niuiukrxcml\n",
"13 13\nuwgmkyqeiaocr\n",
"5 1\nadadd\n",
"42 1\naabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"20 20\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"13 9\njntlrvfbpxdzh\n",
"10 11\nlmcxrkuiui\n",
"3 1\naoz\n",
"13 13\nvwgmkyqeiaocr\n",
"5 1\naddad\n",
"12 6\nfvsdyrkrawcd\n",
"20 15\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkuiui\n",
"1 1\naoz\n",
"2 1\naddad\n",
"20 15\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuui\n",
"3 1\naddad\n",
"20 15\ntzmwgskkyuhkuuypvtbh\n",
"30 34\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\nlmcxrkiuui\n",
"20 20\ntzmwgskkyuhkuuypvtbh\n",
"12 10\nfwseyrarkwcd\n",
"20 20\nhbtvpxuukguykkshvmzt\n",
"30 15\nwizolzzkfulwgioksfxmcxmnnjtoav\n",
"24 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"4 6\nadjz\n",
"50 31\nzpbaiqnnlcotqnfianxloqglgkabnqamenevmdqyrtlxoyybha\n",
"2 2\nda\n",
"10 8\nslzeblyjqw\n",
"3 6\nzoa\n",
"5 2\naaddd\n",
"2 2\nba\n",
"5 5\nxyabd\n",
"12 1\nabaacbaaabbb\n",
"12 4\nfvseyrarkwcd\n",
"3 1\nzzy\n",
"30 15\nvaosjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nba\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtylmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnk\n",
"40 33\nxumfrglllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 26\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"13 13\nrcoaieqykmgwu\n",
"12 6\nfvsryradkwcd\n",
"30 13\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"4 1\naddad\n",
"20 14\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkiulwgfoksfxmcxmnnjtoaw\n",
"2 1\naoz\n",
"20 22\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgiokrfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuiu\n",
"13 3\nvwgmkyqoiaecr\n",
"3 2\naddad\n",
"30 49\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\niuuikrxcml\n",
"20 20\nhbtvpxuukguykkthvmzt\n",
"30 15\nwizolzznfulwgioksfxmcxmnkjtoav\n",
"24 1\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n"
],
"output": [
"34\n",
"-1\n",
"29\n",
"1\n",
"1\n",
"24\n",
"4\n",
"169\n",
"-1\n",
"61\n",
"-1\n",
"3\n",
"26\n",
"-1\n",
"1\n",
"5\n",
"182\n",
"15\n",
"-1\n",
"-1\n",
"1\n",
"14\n",
"5\n",
"-1\n",
"99\n",
"113\n",
"42\n",
"169\n",
"1\n",
"1\n",
"-1\n",
"60\n",
"25\n",
"5\n",
"90\n",
"2\n",
"6\n",
"113\n",
"42\n",
"29\n",
"61\n",
"30\n",
"49\n",
"57\n",
"9\n",
"55\n",
"4\n",
"20\n",
"15\n",
"99\n",
"35\n",
"77\n",
"33\n",
"137\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"90\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"61\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"5\n",
"113\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"1\n",
"20\n",
"25\n",
"-1\n",
"1\n",
"5\n",
"99\n",
"-1\n",
"-1\n",
"-1\n",
"61\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"9\n",
"5\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n"
]
} | 2CODEFORCES
|
1011_A. Stages_1481 | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are n stages available. The rocket must contain exactly k of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — 26 tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input
The first line of input contains two integers — n and k (1 ≤ k ≤ n ≤ 50) – the number of available stages and the number of stages to use in the rocket.
The second line contains string s, which consists of exactly n lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Examples
Input
5 3
xyabd
Output
29
Input
7 4
problem
Output
34
Input
2 2
ab
Output
-1
Input
12 1
abaabbaaabbb
Output
1
Note
In the first example, the following rockets satisfy the condition:
* "adx" (weight is 1+4+24=29);
* "ady" (weight is 1+4+25=30);
* "bdx" (weight is 2+4+24=30);
* "bdy" (weight is 2+4+25=31).
Rocket "adx" has the minimal weight, so the answer is 29.
In the second example, target rocket is "belo". Its weight is 2+5+12+15=34.
In the third example, n=k=2, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | n,k = list(map(int,input().split()))
data = sorted(list(input()))
data = list(map(lambda x:ord(x)-ord('a')+1,data))
result = 0
used = 0
idx =0
prev = -2
# print(data)
for d in data:
if d > prev+1:
result+= d
prev = d
used += 1
if used == k:
break
if used < k:
print(-1)
else:
print(result)
| 3Python3
| {
"input": [
"7 4\nproblem\n",
"2 2\nab\n",
"5 3\nxyabd\n",
"12 1\nabaabbaaabbb\n",
"50 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 1\nxz\n",
"2 2\nac\n",
"50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"50 2\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"12 6\nfwseyrarkwcd\n",
"20 20\ntzmvhskkyugkuuxpvtbh\n",
"1 1\nc\n",
"3 1\nzzz\n",
"30 15\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"2 1\nac\n",
"38 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 13\nhzdxpbfvrltnj\n",
"4 3\nadjz\n",
"40 30\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 31\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"1 1\na\n",
"1 1\nn\n",
"2 2\nad\n",
"50 14\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 7\niuiukrxcml\n",
"10 8\nsmzeblyjqw\n",
"3 3\naoz\n",
"13 13\nuwgmkyqeiaocs\n",
"5 1\naaddd\n",
"42 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 3\nac\n",
"12 6\nfvseyrarkwcd\n",
"3 1\nzyz\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnj\n",
"1 1\nb\n",
"2 2\nae\n",
"10 8\nwqjylbezms\n",
"3 3\nzoa\n",
"5 3\ndbayx\n",
"12 6\nfvsdyrarkwcd\n",
"5 3\ndbayy\n",
"13 7\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkqawcd\n",
"13 3\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkpawcd\n",
"50 2\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"13 4\nhzdxpbfvrltnj\n",
"1 1\no\n",
"10 7\niujukrxcml\n",
"7 4\nproblfm\n",
"12 7\nfvsdyrkpawcd\n",
"20 4\ntzmwgskkyuhkuuypvtbh\n",
"20 9\ntzmwgskkyuhkuuypvtbh\n",
"20 20\ntzmwhskkyugkuuxpvtbh\n",
"30 15\nvaotjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nca\n",
"40 33\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 23\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"50 14\nqwertyuiopaldfghjkszxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 11\niuiukrxcml\n",
"13 13\nuwgmkyqeiaocr\n",
"5 1\nadadd\n",
"42 1\naabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"20 20\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"13 9\njntlrvfbpxdzh\n",
"10 11\nlmcxrkuiui\n",
"3 1\naoz\n",
"13 13\nvwgmkyqeiaocr\n",
"5 1\naddad\n",
"12 6\nfvsdyrkrawcd\n",
"20 15\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkuiui\n",
"1 1\naoz\n",
"2 1\naddad\n",
"20 15\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuui\n",
"3 1\naddad\n",
"20 15\ntzmwgskkyuhkuuypvtbh\n",
"30 34\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\nlmcxrkiuui\n",
"20 20\ntzmwgskkyuhkuuypvtbh\n",
"12 10\nfwseyrarkwcd\n",
"20 20\nhbtvpxuukguykkshvmzt\n",
"30 15\nwizolzzkfulwgioksfxmcxmnnjtoav\n",
"24 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"4 6\nadjz\n",
"50 31\nzpbaiqnnlcotqnfianxloqglgkabnqamenevmdqyrtlxoyybha\n",
"2 2\nda\n",
"10 8\nslzeblyjqw\n",
"3 6\nzoa\n",
"5 2\naaddd\n",
"2 2\nba\n",
"5 5\nxyabd\n",
"12 1\nabaacbaaabbb\n",
"12 4\nfvseyrarkwcd\n",
"3 1\nzzy\n",
"30 15\nvaosjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nba\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtylmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnk\n",
"40 33\nxumfrglllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 26\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"13 13\nrcoaieqykmgwu\n",
"12 6\nfvsryradkwcd\n",
"30 13\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"4 1\naddad\n",
"20 14\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkiulwgfoksfxmcxmnnjtoaw\n",
"2 1\naoz\n",
"20 22\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgiokrfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuiu\n",
"13 3\nvwgmkyqoiaecr\n",
"3 2\naddad\n",
"30 49\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\niuuikrxcml\n",
"20 20\nhbtvpxuukguykkthvmzt\n",
"30 15\nwizolzznfulwgioksfxmcxmnkjtoav\n",
"24 1\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n"
],
"output": [
"34\n",
"-1\n",
"29\n",
"1\n",
"1\n",
"24\n",
"4\n",
"169\n",
"-1\n",
"61\n",
"-1\n",
"3\n",
"26\n",
"-1\n",
"1\n",
"5\n",
"182\n",
"15\n",
"-1\n",
"-1\n",
"1\n",
"14\n",
"5\n",
"-1\n",
"99\n",
"113\n",
"42\n",
"169\n",
"1\n",
"1\n",
"-1\n",
"60\n",
"25\n",
"5\n",
"90\n",
"2\n",
"6\n",
"113\n",
"42\n",
"29\n",
"61\n",
"30\n",
"49\n",
"57\n",
"9\n",
"55\n",
"4\n",
"20\n",
"15\n",
"99\n",
"35\n",
"77\n",
"33\n",
"137\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"90\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"61\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"5\n",
"113\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"1\n",
"20\n",
"25\n",
"-1\n",
"1\n",
"5\n",
"99\n",
"-1\n",
"-1\n",
"-1\n",
"61\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"9\n",
"5\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n"
]
} | 2CODEFORCES
|
1011_A. Stages_1482 | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are n stages available. The rocket must contain exactly k of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — 26 tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input
The first line of input contains two integers — n and k (1 ≤ k ≤ n ≤ 50) – the number of available stages and the number of stages to use in the rocket.
The second line contains string s, which consists of exactly n lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Examples
Input
5 3
xyabd
Output
29
Input
7 4
problem
Output
34
Input
2 2
ab
Output
-1
Input
12 1
abaabbaaabbb
Output
1
Note
In the first example, the following rockets satisfy the condition:
* "adx" (weight is 1+4+24=29);
* "ady" (weight is 1+4+25=30);
* "bdx" (weight is 2+4+24=30);
* "bdy" (weight is 2+4+25=31).
Rocket "adx" has the minimal weight, so the answer is 29.
In the second example, target rocket is "belo". Its weight is 2+5+12+15=34.
In the third example, n=k=2, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | import java.util.*;
import java.io.*;
public class A
{
public static void main (String[] args)
{
Scanner s=new Scanner(System.in);
int N=s.nextInt();
int K=s.nextInt();
s.nextLine();
char C1[]=s.nextLine().toCharArray();
Arrays.sort(C1);
int L1=C1.length;
String S=""+C1[0];
for(int i=1;i<L1;i++)
{
if(C1[i]!=C1[i-1])
S=S+C1[i];
}
// System.out.println(S);
char C2[]=S.toCharArray();
int L2=C2.length;
if(K>L2)
{
System.out.println(-1);
}
else
{
List<Integer> L=new ArrayList<Integer>();
for(int j=0;j<=L2-K;j++)
{
int a=C2[j]-'a'+1;
int c=1,k=j;
for(int i=j;i<L2;i++)
{
if(C2[i]-C2[k]>1)
{
k=i;
a+=C2[i]-'a'+1;
c++;
}
if(c==K)
{
L.add(a);
break;
}
}
}
// System.out.println(L);
if(L.size()!=0)
{
Collections.sort(L);
System.out.println(L.get(0));
}
else
System.out.println(-1);
}
}} | 4JAVA
| {
"input": [
"7 4\nproblem\n",
"2 2\nab\n",
"5 3\nxyabd\n",
"12 1\nabaabbaaabbb\n",
"50 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 1\nxz\n",
"2 2\nac\n",
"50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"50 2\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"12 6\nfwseyrarkwcd\n",
"20 20\ntzmvhskkyugkuuxpvtbh\n",
"1 1\nc\n",
"3 1\nzzz\n",
"30 15\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"2 1\nac\n",
"38 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 13\nhzdxpbfvrltnj\n",
"4 3\nadjz\n",
"40 30\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 31\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"1 1\na\n",
"1 1\nn\n",
"2 2\nad\n",
"50 14\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 7\niuiukrxcml\n",
"10 8\nsmzeblyjqw\n",
"3 3\naoz\n",
"13 13\nuwgmkyqeiaocs\n",
"5 1\naaddd\n",
"42 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"2 3\nac\n",
"12 6\nfvseyrarkwcd\n",
"3 1\nzyz\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtykmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnj\n",
"1 1\nb\n",
"2 2\nae\n",
"10 8\nwqjylbezms\n",
"3 3\nzoa\n",
"5 3\ndbayx\n",
"12 6\nfvsdyrarkwcd\n",
"5 3\ndbayy\n",
"13 7\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkqawcd\n",
"13 3\nvwgmkyqeiaocr\n",
"12 6\nfvsdyrkpawcd\n",
"50 2\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"13 4\nhzdxpbfvrltnj\n",
"1 1\no\n",
"10 7\niujukrxcml\n",
"7 4\nproblfm\n",
"12 7\nfvsdyrkpawcd\n",
"20 4\ntzmwgskkyuhkuuypvtbh\n",
"20 9\ntzmwgskkyuhkuuypvtbh\n",
"20 20\ntzmwhskkyugkuuxpvtbh\n",
"30 15\nvaotjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nca\n",
"40 33\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 23\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"50 14\nqwertyuiopaldfghjkszxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa\n",
"10 11\niuiukrxcml\n",
"13 13\nuwgmkyqeiaocr\n",
"5 1\nadadd\n",
"42 1\naabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\n",
"20 20\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"13 9\njntlrvfbpxdzh\n",
"10 11\nlmcxrkuiui\n",
"3 1\naoz\n",
"13 13\nvwgmkyqeiaocr\n",
"5 1\naddad\n",
"12 6\nfvsdyrkrawcd\n",
"20 15\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkuiui\n",
"1 1\naoz\n",
"2 1\naddad\n",
"20 15\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuui\n",
"3 1\naddad\n",
"20 15\ntzmwgskkyuhkuuypvtbh\n",
"30 34\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\nlmcxrkiuui\n",
"20 20\ntzmwgskkyuhkuuypvtbh\n",
"12 10\nfwseyrarkwcd\n",
"20 20\nhbtvpxuukguykkshvmzt\n",
"30 15\nwizolzzkfulwgioksfxmcxmnnjtoav\n",
"24 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n",
"4 6\nadjz\n",
"50 31\nzpbaiqnnlcotqnfianxloqglgkabnqamenevmdqyrtlxoyybha\n",
"2 2\nda\n",
"10 8\nslzeblyjqw\n",
"3 6\nzoa\n",
"5 2\naaddd\n",
"2 2\nba\n",
"5 5\nxyabd\n",
"12 1\nabaacbaaabbb\n",
"12 4\nfvseyrarkwcd\n",
"3 1\nzzy\n",
"30 15\nvaosjnnmxcmxfskoigwlufkzzlozjw\n",
"2 1\nba\n",
"38 2\nvjzasfykmrrrvwbwfwldsulhxtylmjbnwmdufa\n",
"13 9\nhzdxpbfvrltnk\n",
"40 33\nxumfrglllrrgswehqtsskefixhcxjrxbjmrpsshv\n",
"50 26\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz\n",
"13 13\nrcoaieqykmgwu\n",
"12 6\nfvsryradkwcd\n",
"30 13\nwjzolzzkfulwgioksfxmcxmnnjtoav\n",
"4 1\naddad\n",
"20 14\ntzmwhskkyugkuuypvtbh\n",
"30 24\nwjzolzzkiulwgfoksfxmcxmnnjtoaw\n",
"2 1\naoz\n",
"20 22\ntzmwhskkyuhkuuypvtbh\n",
"30 27\nwjzolzzkfulwgiokrfxmcxmnnjtoaw\n",
"10 22\nlmcxrkiuiu\n",
"13 3\nvwgmkyqoiaecr\n",
"3 2\naddad\n",
"30 49\nwjzolzzkfulwgioksfxmcxmnnjtoaw\n",
"10 41\niuuikrxcml\n",
"20 20\nhbtvpxuukguykkthvmzt\n",
"30 15\nwizolzznfulwgioksfxmcxmnkjtoav\n",
"24 1\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa\n"
],
"output": [
"34\n",
"-1\n",
"29\n",
"1\n",
"1\n",
"24\n",
"4\n",
"169\n",
"-1\n",
"61\n",
"-1\n",
"3\n",
"26\n",
"-1\n",
"1\n",
"5\n",
"182\n",
"15\n",
"-1\n",
"-1\n",
"1\n",
"14\n",
"5\n",
"-1\n",
"99\n",
"113\n",
"42\n",
"169\n",
"1\n",
"1\n",
"-1\n",
"60\n",
"25\n",
"5\n",
"90\n",
"2\n",
"6\n",
"113\n",
"42\n",
"29\n",
"61\n",
"30\n",
"49\n",
"57\n",
"9\n",
"55\n",
"4\n",
"20\n",
"15\n",
"99\n",
"35\n",
"77\n",
"33\n",
"137\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"90\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"61\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"5\n",
"113\n",
"-1\n",
"5\n",
"-1\n",
"-1\n",
"1\n",
"20\n",
"25\n",
"-1\n",
"1\n",
"5\n",
"99\n",
"-1\n",
"-1\n",
"-1\n",
"61\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"9\n",
"5\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n"
]
} | 2CODEFORCES
|
1036_B. Diagonal Walking v.2_1483 | Mikhail walks on a Cartesian plane. He starts at the point (0, 0), and in one move he can go to any of eight adjacent points. For example, if Mikhail is currently at the point (0, 0), he can go to any of the following points in one move:
* (1, 0);
* (1, 1);
* (0, 1);
* (-1, 1);
* (-1, 0);
* (-1, -1);
* (0, -1);
* (1, -1).
If Mikhail goes from the point (x1, y1) to the point (x2, y2) in one move, and x1 ≠ x2 and y1 ≠ y2, then such a move is called a diagonal move.
Mikhail has q queries. For the i-th query Mikhail's target is to go to the point (n_i, m_i) from the point (0, 0) in exactly k_i moves. Among all possible movements he want to choose one with the maximum number of diagonal moves. Your task is to find the maximum number of diagonal moves or find that it is impossible to go from the point (0, 0) to the point (n_i, m_i) in k_i moves.
Note that Mikhail can visit any point any number of times (even the destination point!).
Input
The first line of the input contains one integer q (1 ≤ q ≤ 10^4) — the number of queries.
Then q lines follow. The i-th of these q lines contains three integers n_i, m_i and k_i (1 ≤ n_i, m_i, k_i ≤ 10^{18}) — x-coordinate of the destination point of the query, y-coordinate of the destination point of the query and the number of moves in the query, correspondingly.
Output
Print q integers. The i-th integer should be equal to -1 if Mikhail cannot go from the point (0, 0) to the point (n_i, m_i) in exactly k_i moves described above. Otherwise the i-th integer should be equal to the the maximum number of diagonal moves among all possible movements.
Example
Input
3
2 2 3
4 3 7
10 1 9
Output
1
6
-1
Note
One of the possible answers to the first test case: (0, 0) → (1, 0) → (1, 1) → (2, 2).
One of the possible answers to the second test case: (0, 0) → (0, 1) → (1, 2) → (0, 3) → (1, 4) → (2, 3) → (3, 2) → (4, 3).
In the third test case Mikhail cannot reach the point (10, 1) in 9 moves. | q = int(raw_input())
def f(n, m, k):
if n < m:
n, m = m, n
if n % 2 != m % 2:
n -= 1
k -= 1
elif n % 2 != k % 2:
n, m, k = n - 1, m - 1, k - 2
if k < n:
return -1
return k
for i in range(q):
n, m, k = map(int, raw_input().split())
print f(n, m, k)
| 1Python2
| {
"input": [
"3\n2 2 3\n4 3 7\n10 1 9\n",
"3\n2 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n4 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 1\n",
"3\n2 1 3\n6 1 9\n7 0 2\n",
"3\n2 0 3\n3 1 9\n13 0 2\n",
"3\n4 0 3\n3 1 9\n13 0 2\n",
"3\n7 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 2\n",
"3\n1 0 1\n5 0 5\n22 0 2\n",
"3\n1 0 1\n9 0 5\n35 0 1\n",
"3\n2 2 3\n4 3 6\n10 1 9\n",
"3\n4 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n6 3 9\n7 2 9\n",
"3\n2 2 3\n6 3 9\n7 1 12\n",
"3\n3 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 12\n7 1 1\n",
"3\n2 2 3\n6 2 9\n7 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 2\n",
"3\n7 0 0\n3 1 0\n22 0 2\n",
"3\n1 0 1\n5 1 5\n22 0 3\n",
"3\n1 1 1\n9 -1 5\n35 0 1\n",
"3\n4 2 3\n4 3 7\n4 1 9\n",
"3\n2 2 1\n6 3 9\n7 2 9\n",
"3\n2 2 3\n1 3 9\n7 1 12\n",
"3\n3 2 1\n6 1 9\n7 1 9\n",
"3\n2 0 4\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 2 9\n25 0 2\n",
"3\n1 1 0\n3 1 3\n22 0 2\n",
"3\n2 2 1\n1 3 9\n7 1 12\n",
"3\n2 2 3\n6 2 18\n10 0 1\n",
"3\n2 1 0\n6 2 9\n25 0 2\n",
"3\n2 2 3\n6 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 0 1\n",
"3\n2 2 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n13 0 2\n",
"3\n2 0 3\n6 1 9\n13 0 2\n",
"3\n5 0 3\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 9\n22 0 2\n",
"3\n1 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 1\n",
"3\n1 0 0\n5 0 5\n22 1 1\n",
"3\n1 0 1\n5 0 5\n22 0 3\n",
"3\n1 0 1\n5 0 5\n22 0 1\n",
"3\n1 0 1\n5 0 5\n35 0 1\n",
"3\n1 0 1\n9 -1 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 1\n",
"3\n2 0 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n10 0 2\n",
"3\n2 1 3\n6 1 9\n25 0 2\n",
"3\n2 0 3\n6 1 9\n13 -1 2\n",
"3\n2 0 1\n3 1 9\n13 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 0\n",
"3\n5 -1 0\n3 1 9\n22 0 2\n",
"3\n1 1 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 0\n",
"3\n1 0 0\n5 0 5\n22 2 1\n",
"3\n1 0 1\n5 0 5\n22 1 1\n",
"3\n1 0 1\n9 0 5\n15 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 0\n",
"3\n2 0 3\n4 3 6\n10 1 9\n",
"3\n2 2 3\n6 1 12\n5 1 1\n",
"3\n2 2 3\n6 2 9\n10 0 1\n",
"3\n2 2 3\n6 1 9\n10 0 2\n",
"3\n3 0 3\n6 1 9\n13 0 2\n",
"3\n2 0 1\n3 1 9\n20 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 3\n",
"3\n5 0 0\n5 1 9\n13 0 0\n",
"3\n3 -1 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 1\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 3\n",
"3\n1 0 0\n5 0 5\n22 2 0\n",
"3\n1 0 1\n5 1 5\n17 0 3\n",
"3\n1 0 1\n5 1 5\n22 1 1\n",
"3\n1 0 1\n9 0 0\n15 0 1\n",
"3\n1 1 1\n9 0 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n52 -1 0\n",
"3\n2 0 3\n7 3 6\n10 1 9\n",
"3\n4 2 3\n4 1 7\n4 1 9\n",
"3\n2 2 1\n4 3 9\n7 2 9\n",
"3\n3 2 1\n6 1 9\n7 1 2\n",
"3\n2 2 3\n6 1 12\n9 1 1\n",
"3\n2 0 0\n6 1 9\n7 0 2\n",
"3\n2 2 3\n6 2 9\n10 0 2\n",
"3\n2 0 3\n1 1 9\n13 0 2\n",
"3\n2 0 1\n3 0 9\n20 0 2\n",
"3\n4 0 1\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 4\n",
"3\n5 0 0\n5 1 9\n22 0 0\n"
],
"output": [
"1\n6\n-1\n",
"1\n6\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"-1\n6\n9\n",
"1\n8\n8\n",
"1\n8\n10\n",
"2\n8\n9\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"-1\n8\n-1\n",
"-1\n-1\n-1\n",
"0\n5\n-1\n",
"1\n-1\n-1\n",
"-1\n6\n8\n",
"-1\n8\n8\n",
"1\n9\n10\n",
"-1\n8\n9\n",
"4\n8\n-1\n",
"2\n7\n-1\n",
"-1\n3\n-1\n",
"-1\n9\n10\n",
"1\n18\n-1\n",
"-1\n7\n-1\n",
"1\n8\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n-1\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n5\n-1\n",
"0\n5\n-1\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\n6\n8\n",
"-1\n8\n8\n",
"-1\n8\n-1\n",
"1\n11\n-1\n",
"-1\n8\n-1\n",
"1\n7\n-1\n",
"1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n"
]
} | 2CODEFORCES
|
1036_B. Diagonal Walking v.2_1484 | Mikhail walks on a Cartesian plane. He starts at the point (0, 0), and in one move he can go to any of eight adjacent points. For example, if Mikhail is currently at the point (0, 0), he can go to any of the following points in one move:
* (1, 0);
* (1, 1);
* (0, 1);
* (-1, 1);
* (-1, 0);
* (-1, -1);
* (0, -1);
* (1, -1).
If Mikhail goes from the point (x1, y1) to the point (x2, y2) in one move, and x1 ≠ x2 and y1 ≠ y2, then such a move is called a diagonal move.
Mikhail has q queries. For the i-th query Mikhail's target is to go to the point (n_i, m_i) from the point (0, 0) in exactly k_i moves. Among all possible movements he want to choose one with the maximum number of diagonal moves. Your task is to find the maximum number of diagonal moves or find that it is impossible to go from the point (0, 0) to the point (n_i, m_i) in k_i moves.
Note that Mikhail can visit any point any number of times (even the destination point!).
Input
The first line of the input contains one integer q (1 ≤ q ≤ 10^4) — the number of queries.
Then q lines follow. The i-th of these q lines contains three integers n_i, m_i and k_i (1 ≤ n_i, m_i, k_i ≤ 10^{18}) — x-coordinate of the destination point of the query, y-coordinate of the destination point of the query and the number of moves in the query, correspondingly.
Output
Print q integers. The i-th integer should be equal to -1 if Mikhail cannot go from the point (0, 0) to the point (n_i, m_i) in exactly k_i moves described above. Otherwise the i-th integer should be equal to the the maximum number of diagonal moves among all possible movements.
Example
Input
3
2 2 3
4 3 7
10 1 9
Output
1
6
-1
Note
One of the possible answers to the first test case: (0, 0) → (1, 0) → (1, 1) → (2, 2).
One of the possible answers to the second test case: (0, 0) → (0, 1) → (1, 2) → (0, 3) → (1, 4) → (2, 3) → (3, 2) → (4, 3).
In the third test case Mikhail cannot reach the point (10, 1) in 9 moves. | #include <bits/stdc++.h>
using namespace std;
int main() {
int q;
long long int n, m, k, i, bar, left, diag;
scanf("%d", &q);
while (q--) {
scanf("%lld %lld %lld", &n, &m, &k);
if (n < m) {
i = n;
n = m;
m = i;
}
if (n > k) {
printf("-1\n");
continue;
} else {
bar = n - m;
if (bar % 2 == 1) {
diag = k - 1;
} else {
diag = n - 1;
left = k - n + 1;
if (left % 2 == 0) {
diag += left - 2;
} else {
diag += left;
}
}
printf("%lld\n", diag);
}
}
return 0;
}
| 2C++
| {
"input": [
"3\n2 2 3\n4 3 7\n10 1 9\n",
"3\n2 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n4 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 1\n",
"3\n2 1 3\n6 1 9\n7 0 2\n",
"3\n2 0 3\n3 1 9\n13 0 2\n",
"3\n4 0 3\n3 1 9\n13 0 2\n",
"3\n7 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 2\n",
"3\n1 0 1\n5 0 5\n22 0 2\n",
"3\n1 0 1\n9 0 5\n35 0 1\n",
"3\n2 2 3\n4 3 6\n10 1 9\n",
"3\n4 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n6 3 9\n7 2 9\n",
"3\n2 2 3\n6 3 9\n7 1 12\n",
"3\n3 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 12\n7 1 1\n",
"3\n2 2 3\n6 2 9\n7 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 2\n",
"3\n7 0 0\n3 1 0\n22 0 2\n",
"3\n1 0 1\n5 1 5\n22 0 3\n",
"3\n1 1 1\n9 -1 5\n35 0 1\n",
"3\n4 2 3\n4 3 7\n4 1 9\n",
"3\n2 2 1\n6 3 9\n7 2 9\n",
"3\n2 2 3\n1 3 9\n7 1 12\n",
"3\n3 2 1\n6 1 9\n7 1 9\n",
"3\n2 0 4\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 2 9\n25 0 2\n",
"3\n1 1 0\n3 1 3\n22 0 2\n",
"3\n2 2 1\n1 3 9\n7 1 12\n",
"3\n2 2 3\n6 2 18\n10 0 1\n",
"3\n2 1 0\n6 2 9\n25 0 2\n",
"3\n2 2 3\n6 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 0 1\n",
"3\n2 2 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n13 0 2\n",
"3\n2 0 3\n6 1 9\n13 0 2\n",
"3\n5 0 3\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 9\n22 0 2\n",
"3\n1 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 1\n",
"3\n1 0 0\n5 0 5\n22 1 1\n",
"3\n1 0 1\n5 0 5\n22 0 3\n",
"3\n1 0 1\n5 0 5\n22 0 1\n",
"3\n1 0 1\n5 0 5\n35 0 1\n",
"3\n1 0 1\n9 -1 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 1\n",
"3\n2 0 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n10 0 2\n",
"3\n2 1 3\n6 1 9\n25 0 2\n",
"3\n2 0 3\n6 1 9\n13 -1 2\n",
"3\n2 0 1\n3 1 9\n13 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 0\n",
"3\n5 -1 0\n3 1 9\n22 0 2\n",
"3\n1 1 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 0\n",
"3\n1 0 0\n5 0 5\n22 2 1\n",
"3\n1 0 1\n5 0 5\n22 1 1\n",
"3\n1 0 1\n9 0 5\n15 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 0\n",
"3\n2 0 3\n4 3 6\n10 1 9\n",
"3\n2 2 3\n6 1 12\n5 1 1\n",
"3\n2 2 3\n6 2 9\n10 0 1\n",
"3\n2 2 3\n6 1 9\n10 0 2\n",
"3\n3 0 3\n6 1 9\n13 0 2\n",
"3\n2 0 1\n3 1 9\n20 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 3\n",
"3\n5 0 0\n5 1 9\n13 0 0\n",
"3\n3 -1 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 1\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 3\n",
"3\n1 0 0\n5 0 5\n22 2 0\n",
"3\n1 0 1\n5 1 5\n17 0 3\n",
"3\n1 0 1\n5 1 5\n22 1 1\n",
"3\n1 0 1\n9 0 0\n15 0 1\n",
"3\n1 1 1\n9 0 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n52 -1 0\n",
"3\n2 0 3\n7 3 6\n10 1 9\n",
"3\n4 2 3\n4 1 7\n4 1 9\n",
"3\n2 2 1\n4 3 9\n7 2 9\n",
"3\n3 2 1\n6 1 9\n7 1 2\n",
"3\n2 2 3\n6 1 12\n9 1 1\n",
"3\n2 0 0\n6 1 9\n7 0 2\n",
"3\n2 2 3\n6 2 9\n10 0 2\n",
"3\n2 0 3\n1 1 9\n13 0 2\n",
"3\n2 0 1\n3 0 9\n20 0 2\n",
"3\n4 0 1\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 4\n",
"3\n5 0 0\n5 1 9\n22 0 0\n"
],
"output": [
"1\n6\n-1\n",
"1\n6\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"-1\n6\n9\n",
"1\n8\n8\n",
"1\n8\n10\n",
"2\n8\n9\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"-1\n8\n-1\n",
"-1\n-1\n-1\n",
"0\n5\n-1\n",
"1\n-1\n-1\n",
"-1\n6\n8\n",
"-1\n8\n8\n",
"1\n9\n10\n",
"-1\n8\n9\n",
"4\n8\n-1\n",
"2\n7\n-1\n",
"-1\n3\n-1\n",
"-1\n9\n10\n",
"1\n18\n-1\n",
"-1\n7\n-1\n",
"1\n8\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n-1\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n5\n-1\n",
"0\n5\n-1\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\n6\n8\n",
"-1\n8\n8\n",
"-1\n8\n-1\n",
"1\n11\n-1\n",
"-1\n8\n-1\n",
"1\n7\n-1\n",
"1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n"
]
} | 2CODEFORCES
|
1036_B. Diagonal Walking v.2_1485 | Mikhail walks on a Cartesian plane. He starts at the point (0, 0), and in one move he can go to any of eight adjacent points. For example, if Mikhail is currently at the point (0, 0), he can go to any of the following points in one move:
* (1, 0);
* (1, 1);
* (0, 1);
* (-1, 1);
* (-1, 0);
* (-1, -1);
* (0, -1);
* (1, -1).
If Mikhail goes from the point (x1, y1) to the point (x2, y2) in one move, and x1 ≠ x2 and y1 ≠ y2, then such a move is called a diagonal move.
Mikhail has q queries. For the i-th query Mikhail's target is to go to the point (n_i, m_i) from the point (0, 0) in exactly k_i moves. Among all possible movements he want to choose one with the maximum number of diagonal moves. Your task is to find the maximum number of diagonal moves or find that it is impossible to go from the point (0, 0) to the point (n_i, m_i) in k_i moves.
Note that Mikhail can visit any point any number of times (even the destination point!).
Input
The first line of the input contains one integer q (1 ≤ q ≤ 10^4) — the number of queries.
Then q lines follow. The i-th of these q lines contains three integers n_i, m_i and k_i (1 ≤ n_i, m_i, k_i ≤ 10^{18}) — x-coordinate of the destination point of the query, y-coordinate of the destination point of the query and the number of moves in the query, correspondingly.
Output
Print q integers. The i-th integer should be equal to -1 if Mikhail cannot go from the point (0, 0) to the point (n_i, m_i) in exactly k_i moves described above. Otherwise the i-th integer should be equal to the the maximum number of diagonal moves among all possible movements.
Example
Input
3
2 2 3
4 3 7
10 1 9
Output
1
6
-1
Note
One of the possible answers to the first test case: (0, 0) → (1, 0) → (1, 1) → (2, 2).
One of the possible answers to the second test case: (0, 0) → (0, 1) → (1, 2) → (0, 3) → (1, 4) → (2, 3) → (3, 2) → (4, 3).
In the third test case Mikhail cannot reach the point (10, 1) in 9 moves. | q = int(input())
for i in range(q):
n, m, k = map(int, input().split())
if m >k or n > k:
print(-1)
else:
print(k - (k-n)%2 - (k-m)%2) | 3Python3
| {
"input": [
"3\n2 2 3\n4 3 7\n10 1 9\n",
"3\n2 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n4 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 1\n",
"3\n2 1 3\n6 1 9\n7 0 2\n",
"3\n2 0 3\n3 1 9\n13 0 2\n",
"3\n4 0 3\n3 1 9\n13 0 2\n",
"3\n7 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 2\n",
"3\n1 0 1\n5 0 5\n22 0 2\n",
"3\n1 0 1\n9 0 5\n35 0 1\n",
"3\n2 2 3\n4 3 6\n10 1 9\n",
"3\n4 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n6 3 9\n7 2 9\n",
"3\n2 2 3\n6 3 9\n7 1 12\n",
"3\n3 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 12\n7 1 1\n",
"3\n2 2 3\n6 2 9\n7 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 2\n",
"3\n7 0 0\n3 1 0\n22 0 2\n",
"3\n1 0 1\n5 1 5\n22 0 3\n",
"3\n1 1 1\n9 -1 5\n35 0 1\n",
"3\n4 2 3\n4 3 7\n4 1 9\n",
"3\n2 2 1\n6 3 9\n7 2 9\n",
"3\n2 2 3\n1 3 9\n7 1 12\n",
"3\n3 2 1\n6 1 9\n7 1 9\n",
"3\n2 0 4\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 2 9\n25 0 2\n",
"3\n1 1 0\n3 1 3\n22 0 2\n",
"3\n2 2 1\n1 3 9\n7 1 12\n",
"3\n2 2 3\n6 2 18\n10 0 1\n",
"3\n2 1 0\n6 2 9\n25 0 2\n",
"3\n2 2 3\n6 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 0 1\n",
"3\n2 2 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n13 0 2\n",
"3\n2 0 3\n6 1 9\n13 0 2\n",
"3\n5 0 3\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 9\n22 0 2\n",
"3\n1 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 1\n",
"3\n1 0 0\n5 0 5\n22 1 1\n",
"3\n1 0 1\n5 0 5\n22 0 3\n",
"3\n1 0 1\n5 0 5\n22 0 1\n",
"3\n1 0 1\n5 0 5\n35 0 1\n",
"3\n1 0 1\n9 -1 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 1\n",
"3\n2 0 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n10 0 2\n",
"3\n2 1 3\n6 1 9\n25 0 2\n",
"3\n2 0 3\n6 1 9\n13 -1 2\n",
"3\n2 0 1\n3 1 9\n13 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 0\n",
"3\n5 -1 0\n3 1 9\n22 0 2\n",
"3\n1 1 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 0\n",
"3\n1 0 0\n5 0 5\n22 2 1\n",
"3\n1 0 1\n5 0 5\n22 1 1\n",
"3\n1 0 1\n9 0 5\n15 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 0\n",
"3\n2 0 3\n4 3 6\n10 1 9\n",
"3\n2 2 3\n6 1 12\n5 1 1\n",
"3\n2 2 3\n6 2 9\n10 0 1\n",
"3\n2 2 3\n6 1 9\n10 0 2\n",
"3\n3 0 3\n6 1 9\n13 0 2\n",
"3\n2 0 1\n3 1 9\n20 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 3\n",
"3\n5 0 0\n5 1 9\n13 0 0\n",
"3\n3 -1 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 1\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 3\n",
"3\n1 0 0\n5 0 5\n22 2 0\n",
"3\n1 0 1\n5 1 5\n17 0 3\n",
"3\n1 0 1\n5 1 5\n22 1 1\n",
"3\n1 0 1\n9 0 0\n15 0 1\n",
"3\n1 1 1\n9 0 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n52 -1 0\n",
"3\n2 0 3\n7 3 6\n10 1 9\n",
"3\n4 2 3\n4 1 7\n4 1 9\n",
"3\n2 2 1\n4 3 9\n7 2 9\n",
"3\n3 2 1\n6 1 9\n7 1 2\n",
"3\n2 2 3\n6 1 12\n9 1 1\n",
"3\n2 0 0\n6 1 9\n7 0 2\n",
"3\n2 2 3\n6 2 9\n10 0 2\n",
"3\n2 0 3\n1 1 9\n13 0 2\n",
"3\n2 0 1\n3 0 9\n20 0 2\n",
"3\n4 0 1\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 4\n",
"3\n5 0 0\n5 1 9\n22 0 0\n"
],
"output": [
"1\n6\n-1\n",
"1\n6\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"-1\n6\n9\n",
"1\n8\n8\n",
"1\n8\n10\n",
"2\n8\n9\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"-1\n8\n-1\n",
"-1\n-1\n-1\n",
"0\n5\n-1\n",
"1\n-1\n-1\n",
"-1\n6\n8\n",
"-1\n8\n8\n",
"1\n9\n10\n",
"-1\n8\n9\n",
"4\n8\n-1\n",
"2\n7\n-1\n",
"-1\n3\n-1\n",
"-1\n9\n10\n",
"1\n18\n-1\n",
"-1\n7\n-1\n",
"1\n8\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n-1\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n5\n-1\n",
"0\n5\n-1\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\n6\n8\n",
"-1\n8\n8\n",
"-1\n8\n-1\n",
"1\n11\n-1\n",
"-1\n8\n-1\n",
"1\n7\n-1\n",
"1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n"
]
} | 2CODEFORCES
|
1036_B. Diagonal Walking v.2_1486 | Mikhail walks on a Cartesian plane. He starts at the point (0, 0), and in one move he can go to any of eight adjacent points. For example, if Mikhail is currently at the point (0, 0), he can go to any of the following points in one move:
* (1, 0);
* (1, 1);
* (0, 1);
* (-1, 1);
* (-1, 0);
* (-1, -1);
* (0, -1);
* (1, -1).
If Mikhail goes from the point (x1, y1) to the point (x2, y2) in one move, and x1 ≠ x2 and y1 ≠ y2, then such a move is called a diagonal move.
Mikhail has q queries. For the i-th query Mikhail's target is to go to the point (n_i, m_i) from the point (0, 0) in exactly k_i moves. Among all possible movements he want to choose one with the maximum number of diagonal moves. Your task is to find the maximum number of diagonal moves or find that it is impossible to go from the point (0, 0) to the point (n_i, m_i) in k_i moves.
Note that Mikhail can visit any point any number of times (even the destination point!).
Input
The first line of the input contains one integer q (1 ≤ q ≤ 10^4) — the number of queries.
Then q lines follow. The i-th of these q lines contains three integers n_i, m_i and k_i (1 ≤ n_i, m_i, k_i ≤ 10^{18}) — x-coordinate of the destination point of the query, y-coordinate of the destination point of the query and the number of moves in the query, correspondingly.
Output
Print q integers. The i-th integer should be equal to -1 if Mikhail cannot go from the point (0, 0) to the point (n_i, m_i) in exactly k_i moves described above. Otherwise the i-th integer should be equal to the the maximum number of diagonal moves among all possible movements.
Example
Input
3
2 2 3
4 3 7
10 1 9
Output
1
6
-1
Note
One of the possible answers to the first test case: (0, 0) → (1, 0) → (1, 1) → (2, 2).
One of the possible answers to the second test case: (0, 0) → (0, 1) → (1, 2) → (0, 3) → (1, 4) → (2, 3) → (3, 2) → (4, 3).
In the third test case Mikhail cannot reach the point (10, 1) in 9 moves. | import java.util.Scanner;
public class diagonalWalking {
public static void main(String args[]) {
Scanner sc = new Scanner(System.in);
int q = sc.nextInt();
long coords[][] = new long[q][2];
long steps[] = new long[q];
for (int i = 0; i < q; i++)
{
coords[i][0]=Math.abs(sc.nextLong());
coords[i][1]=Math.abs(sc.nextLong());
steps[i]=sc.nextLong();
}
for(int i = 0; i < q; i++)
{
long min=Math.min(coords[i][0],coords[i][1]);
long max=Math.max(coords[i][0],coords[i][1]);
if(steps[i]<max)
System.out.println("-1");
else
{
if((coords[i][0]+coords[i][1])%2==0)
{
if((steps[i]-max)%2==0)
System.out.println(steps[i]);
else
System.out.println(steps[i]-2);
}
else
System.out.println(steps[i]-1);
}
}
}
}
| 4JAVA
| {
"input": [
"3\n2 2 3\n4 3 7\n10 1 9\n",
"3\n2 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n4 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 1\n",
"3\n2 1 3\n6 1 9\n7 0 2\n",
"3\n2 0 3\n3 1 9\n13 0 2\n",
"3\n4 0 3\n3 1 9\n13 0 2\n",
"3\n7 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 2\n",
"3\n1 0 1\n5 0 5\n22 0 2\n",
"3\n1 0 1\n9 0 5\n35 0 1\n",
"3\n2 2 3\n4 3 6\n10 1 9\n",
"3\n4 2 3\n4 3 7\n7 1 9\n",
"3\n2 2 3\n6 3 9\n7 2 9\n",
"3\n2 2 3\n6 3 9\n7 1 12\n",
"3\n3 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 12\n7 1 1\n",
"3\n2 2 3\n6 2 9\n7 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 2\n",
"3\n7 0 0\n3 1 0\n22 0 2\n",
"3\n1 0 1\n5 1 5\n22 0 3\n",
"3\n1 1 1\n9 -1 5\n35 0 1\n",
"3\n4 2 3\n4 3 7\n4 1 9\n",
"3\n2 2 1\n6 3 9\n7 2 9\n",
"3\n2 2 3\n1 3 9\n7 1 12\n",
"3\n3 2 1\n6 1 9\n7 1 9\n",
"3\n2 0 4\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 2 9\n25 0 2\n",
"3\n1 1 0\n3 1 3\n22 0 2\n",
"3\n2 2 1\n1 3 9\n7 1 12\n",
"3\n2 2 3\n6 2 18\n10 0 1\n",
"3\n2 1 0\n6 2 9\n25 0 2\n",
"3\n2 2 3\n6 3 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 1 9\n",
"3\n2 2 3\n6 1 9\n7 0 1\n",
"3\n2 2 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n13 0 2\n",
"3\n2 0 3\n6 1 9\n13 0 2\n",
"3\n5 0 3\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 9\n22 0 2\n",
"3\n1 0 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n22 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 1\n",
"3\n1 0 0\n5 0 5\n22 1 1\n",
"3\n1 0 1\n5 0 5\n22 0 3\n",
"3\n1 0 1\n5 0 5\n22 0 1\n",
"3\n1 0 1\n5 0 5\n35 0 1\n",
"3\n1 0 1\n9 -1 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 1\n",
"3\n2 0 3\n6 1 9\n7 0 2\n",
"3\n2 1 3\n6 1 9\n10 0 2\n",
"3\n2 1 3\n6 1 9\n25 0 2\n",
"3\n2 0 3\n6 1 9\n13 -1 2\n",
"3\n2 0 1\n3 1 9\n13 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 2\n",
"3\n5 0 0\n3 1 9\n13 0 0\n",
"3\n5 -1 0\n3 1 9\n22 0 2\n",
"3\n1 1 0\n3 1 5\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 2\n",
"3\n1 0 0\n5 0 5\n22 0 0\n",
"3\n1 0 0\n5 0 5\n22 2 1\n",
"3\n1 0 1\n5 0 5\n22 1 1\n",
"3\n1 0 1\n9 0 5\n15 0 1\n",
"3\n1 0 1\n9 0 5\n35 -1 0\n",
"3\n2 0 3\n4 3 6\n10 1 9\n",
"3\n2 2 3\n6 1 12\n5 1 1\n",
"3\n2 2 3\n6 2 9\n10 0 1\n",
"3\n2 2 3\n6 1 9\n10 0 2\n",
"3\n3 0 3\n6 1 9\n13 0 2\n",
"3\n2 0 1\n3 1 9\n20 0 2\n",
"3\n4 0 3\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 3\n",
"3\n5 0 0\n5 1 9\n13 0 0\n",
"3\n3 -1 0\n3 1 9\n22 0 2\n",
"3\n7 0 0\n3 1 1\n22 0 2\n",
"3\n1 0 0\n5 1 5\n38 0 3\n",
"3\n1 0 0\n5 0 5\n22 2 0\n",
"3\n1 0 1\n5 1 5\n17 0 3\n",
"3\n1 0 1\n5 1 5\n22 1 1\n",
"3\n1 0 1\n9 0 0\n15 0 1\n",
"3\n1 1 1\n9 0 5\n35 0 1\n",
"3\n1 0 1\n9 0 5\n52 -1 0\n",
"3\n2 0 3\n7 3 6\n10 1 9\n",
"3\n4 2 3\n4 1 7\n4 1 9\n",
"3\n2 2 1\n4 3 9\n7 2 9\n",
"3\n3 2 1\n6 1 9\n7 1 2\n",
"3\n2 2 3\n6 1 12\n9 1 1\n",
"3\n2 0 0\n6 1 9\n7 0 2\n",
"3\n2 2 3\n6 2 9\n10 0 2\n",
"3\n2 0 3\n1 1 9\n13 0 2\n",
"3\n2 0 1\n3 0 9\n20 0 2\n",
"3\n4 0 1\n1 1 9\n13 0 1\n",
"3\n5 0 3\n3 2 9\n13 0 4\n",
"3\n5 0 0\n5 1 9\n22 0 0\n"
],
"output": [
"1\n6\n-1\n",
"1\n6\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"-1\n6\n9\n",
"1\n8\n8\n",
"1\n8\n10\n",
"2\n8\n9\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"-1\n8\n-1\n",
"-1\n-1\n-1\n",
"0\n5\n-1\n",
"1\n-1\n-1\n",
"-1\n6\n8\n",
"-1\n8\n8\n",
"1\n9\n10\n",
"-1\n8\n9\n",
"4\n8\n-1\n",
"2\n7\n-1\n",
"-1\n3\n-1\n",
"-1\n9\n10\n",
"1\n18\n-1\n",
"-1\n7\n-1\n",
"1\n8\n9\n",
"1\n8\n9\n",
"1\n8\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"2\n8\n-1\n",
"1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n5\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"-1\n4\n-1\n",
"0\n4\n-1\n",
"0\n-1\n-1\n",
"0\n-1\n-1\n",
"1\n5\n-1\n",
"1\n11\n-1\n",
"1\n7\n-1\n",
"1\n8\n-1\n",
"2\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n9\n-1\n",
"-1\n-1\n-1\n",
"-1\n5\n-1\n",
"-1\n4\n-1\n",
"0\n5\n-1\n",
"0\n5\n-1\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\n6\n8\n",
"-1\n8\n8\n",
"-1\n8\n-1\n",
"1\n11\n-1\n",
"-1\n8\n-1\n",
"1\n7\n-1\n",
"1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n",
"-1\n8\n-1\n",
"-1\n9\n-1\n"
]
} | 2CODEFORCES
|
1059_A. Cashier_1487 | Vasya has recently got a job as a cashier at a local store. His day at work is L minutes long. Vasya has already memorized n regular customers, the i-th of which comes after t_{i} minutes after the beginning of the day, and his service consumes l_{i} minutes. It is guaranteed that no customer will arrive while Vasya is servicing another customer.
Vasya is a bit lazy, so he likes taking smoke breaks for a minutes each. Those breaks may go one after another, but Vasya must be present at work during all the time periods he must serve regular customers, otherwise one of them may alert his boss. What is the maximum number of breaks Vasya can take during the day?
Input
The first line contains three integers n, L and a (0 ≤ n ≤ 10^{5}, 1 ≤ L ≤ 10^{9}, 1 ≤ a ≤ L).
The i-th of the next n lines contains two integers t_{i} and l_{i} (0 ≤ t_{i} ≤ L - 1, 1 ≤ l_{i} ≤ L). It is guaranteed that t_{i} + l_{i} ≤ t_{i + 1} and t_{n} + l_{n} ≤ L.
Output
Output one integer — the maximum number of breaks.
Examples
Input
2 11 3
0 1
1 1
Output
3
Input
0 5 2
Output
2
Input
1 3 2
1 2
Output
0
Note
In the first sample Vasya can take 3 breaks starting after 2, 5 and 8 minutes after the beginning of the day.
In the second sample Vasya can take 2 breaks starting after 0 and 2 minutes after the beginning of the day.
In the third sample Vasya can't take any breaks. | """
What I cannot create, I do not understand.
https://github.com/Cheran-Senthil/PyRival
Copyright (c) 2018 Cheran Senthilkumar
"""
# IMPORTS---------------------------------------------------------------------#
from __future__ import division, print_function
import itertools
import sys
from atexit import register
from io import BytesIO
# import math
# import operator as op
# import random
# from bisect import bisect, bisect_left
# from collections import Counter, defaultdict, deque
# from copy import deepcopy
# from cPickle import dumps
# from decimal import Decimal, getcontext
# from difflib import SequenceMatcher
# from fractions import Fraction, gcd
# from heapq import heappop, heappush
# from Queue import PriorityQueue, Queue
# PYTHON3---------------------------------------------------------------------#
class dict(dict):
def items(self):
return dict.iteritems(self)
def keys(self):
return dict.iterkeys(self)
def values(self):
return dict.itervalues(self)
filter = itertools.ifilter
map = itertools.imap
zip = itertools.izip
input = raw_input
range = xrange
# FASTIO----------------------------------------------------------------------#
# sys.stdout = BytesIO()
# register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
# sys.stdin = BytesIO(sys.stdin.read())
# input = lambda: sys.stdin.readline().rstrip()
# print = lambda *args: sys.stdout.write(' '.join(str(x) for x in args) + '\n')
# flush = sys.stdout.flush
# SETTINGS--------------------------------------------------------------------#
# getcontext().prec = 100
# sys.setrecursionlimit(100000)
# CONSTANTS-------------------------------------------------------------------#
MOD = 1000000007
INF = float('+inf')
ASCII_LOWERCASE = 'abcdefghijklmnopqrstuvwxyz'
ASCII_UPPERCASE = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
# MAIN------------------------------------------------------------------------#
def main():
n, L, a = map(int, input().split(' '))
c = sorted([list(map(int, input().split())) for _ in range(n)], key=lambda x: x[0])
r = 0
o = 0
for i, j in c:
r += (i - o) // a
o = i + j
r += (L - o) // a
print(r)
if __name__ == '__main__':
main()
| 1Python2
| {
"input": [
"2 11 3\n0 1\n1 1\n",
"0 5 2\n",
"1 3 2\n1 2\n",
"0 1 1\n",
"1 5 3\n3 1\n",
"0 1000000000 1\n",
"3 21 3\n3 3\n9 3\n15 3\n",
"0 1000000000 1000000000\n",
"1 1 1\n0 1\n",
"2 10 3\n0 1\n9 1\n",
"1 1000000000 1\n0 1000000000\n",
"0 1000000000 500000000\n",
"1 10 5\n5 2\n",
"1 3 2\n1 1\n",
"1 2 1\n1 1\n",
"0 2 1\n",
"0 1000000000 1000000010\n",
"2 14 3\n0 1\n9 1\n",
"0 1000000000 563405053\n",
"0 1000000000 187209489\n",
"3 21 3\n0 3\n9 3\n15 3\n",
"0 1100010010 86846253\n",
"0 1100010010 74816749\n",
"1 8 1\n1 0\n",
"1 1 2\n0 1\n",
"1 10 5\n0 2\n",
"2 3 3\n0 1\n1 1\n",
"0 0 2\n",
"1 3 2\n0 2\n",
"0 0 1\n",
"0 1000010000 1000000010\n",
"1 13 5\n0 2\n",
"0 1000110000 1000000010\n",
"0 1100000000 187209489\n",
"0 1000110000 1000100010\n",
"0 1100010000 187209489\n",
"0 0000110000 1000100010\n",
"0 1100010010 187209489\n",
"0 0000100000 1000100010\n",
"0 0000101000 1000100010\n",
"1 5 3\n1 1\n",
"0 1000100000 1000000000\n",
"2 10 3\n0 1\n6 1\n",
"1 2 1\n1 0\n",
"2 11 3\n0 1\n2 1\n",
"0 10 2\n",
"1 3 4\n1 2\n",
"0 1000000000 1000001010\n",
"2 14 3\n0 1\n11 1\n",
"0 1000000100 563405053\n",
"1 10 10\n0 2\n",
"0 0 4\n",
"1 3 2\n0 0\n",
"0 1000000100 1000000010\n",
"0 1000001000 187209489\n",
"0 1000110000 1000000000\n",
"0 1000010000 187209489\n",
"0 1000010000 1000100010\n",
"0 1100010000 329499825\n",
"0 0000100000 1010100010\n",
"0 0100100000 1000100010\n",
"0 0000101000 1000100110\n",
"1 9 3\n1 1\n",
"3 21 1\n0 3\n9 3\n15 3\n",
"0 1010100000 1000000000\n",
"2 10 3\n0 1\n1 1\n",
"1 4 1\n1 0\n",
"2 9 3\n0 1\n2 1\n",
"0 6 2\n",
"0 1000001000 1000001010\n",
"0 1000000100 886069857\n",
"1 10 19\n0 2\n",
"1 3 4\n0 0\n",
"0 1000000100 1001000010\n",
"0 1000010000 297964318\n",
"0 1000010100 1000100010\n",
"0 1100010100 329499825\n",
"0 0000100000 1010110010\n",
"0 0100100000 1010100010\n",
"0 1000101000 1000100110\n",
"0 1010100000 1000001000\n",
"2 12 3\n0 1\n2 1\n",
"0 1000001001 1000001010\n",
"0 1000100100 886069857\n",
"1 10 9\n0 2\n",
"1 3 4\n1 0\n",
"0 1000010000 402811971\n",
"0 1000010100 1001100010\n",
"0 1100010100 624576334\n",
"0 0000100000 1011110010\n",
"0 0100010010 74816749\n",
"0 1000101100 1000100110\n",
"0 1010100010 1000001000\n",
"1 12 3\n0 1\n2 1\n",
"0 1000001001 1000001110\n",
"0 1000100100 1043045926\n",
"1 10 12\n0 2\n",
"1 3 8\n1 0\n",
"0 1000010110 1001100010\n",
"0 1100010101 624576334\n",
"0 0000100000 1011110000\n",
"0 0100010010 42971471\n",
"0 1000101100 1001100110\n"
],
"output": [
"3\n",
"2\n",
"0\n",
"1\n",
"1\n",
"1000000000\n",
"4\n",
"1\n",
"0\n",
"2\n",
"0\n",
"2\n",
"1\n",
"0\n",
"1\n",
"2\n",
"0\n",
"3\n",
"1\n",
"5\n",
"4\n",
"12\n",
"14\n",
"8\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"2\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"5\n",
"0\n",
"0\n",
"1\n",
"1\n",
"2\n",
"2\n",
"2\n",
"5\n",
"0\n",
"0\n",
"3\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"3\n",
"0\n",
"0\n",
"0\n",
"2\n",
"12\n",
"1\n",
"2\n",
"4\n",
"2\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"0\n",
"1\n",
"1\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"2\n",
"0\n",
"1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"2\n",
"0\n"
]
} | 2CODEFORCES
|
1059_A. Cashier_1488 | Vasya has recently got a job as a cashier at a local store. His day at work is L minutes long. Vasya has already memorized n regular customers, the i-th of which comes after t_{i} minutes after the beginning of the day, and his service consumes l_{i} minutes. It is guaranteed that no customer will arrive while Vasya is servicing another customer.
Vasya is a bit lazy, so he likes taking smoke breaks for a minutes each. Those breaks may go one after another, but Vasya must be present at work during all the time periods he must serve regular customers, otherwise one of them may alert his boss. What is the maximum number of breaks Vasya can take during the day?
Input
The first line contains three integers n, L and a (0 ≤ n ≤ 10^{5}, 1 ≤ L ≤ 10^{9}, 1 ≤ a ≤ L).
The i-th of the next n lines contains two integers t_{i} and l_{i} (0 ≤ t_{i} ≤ L - 1, 1 ≤ l_{i} ≤ L). It is guaranteed that t_{i} + l_{i} ≤ t_{i + 1} and t_{n} + l_{n} ≤ L.
Output
Output one integer — the maximum number of breaks.
Examples
Input
2 11 3
0 1
1 1
Output
3
Input
0 5 2
Output
2
Input
1 3 2
1 2
Output
0
Note
In the first sample Vasya can take 3 breaks starting after 2, 5 and 8 minutes after the beginning of the day.
In the second sample Vasya can take 2 breaks starting after 0 and 2 minutes after the beginning of the day.
In the third sample Vasya can't take any breaks. | #include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, L, a;
cin >> n >> L >> a;
int ans = 0;
int prevEnd = 0;
for (int i = 0; i < n; i++) {
int t, l;
cin >> t >> l;
ans += (t - prevEnd) / a;
prevEnd = t + l;
}
ans += (L - prevEnd) / a;
cout << ans << endl;
return 0;
}
| 2C++
| {
"input": [
"2 11 3\n0 1\n1 1\n",
"0 5 2\n",
"1 3 2\n1 2\n",
"0 1 1\n",
"1 5 3\n3 1\n",
"0 1000000000 1\n",
"3 21 3\n3 3\n9 3\n15 3\n",
"0 1000000000 1000000000\n",
"1 1 1\n0 1\n",
"2 10 3\n0 1\n9 1\n",
"1 1000000000 1\n0 1000000000\n",
"0 1000000000 500000000\n",
"1 10 5\n5 2\n",
"1 3 2\n1 1\n",
"1 2 1\n1 1\n",
"0 2 1\n",
"0 1000000000 1000000010\n",
"2 14 3\n0 1\n9 1\n",
"0 1000000000 563405053\n",
"0 1000000000 187209489\n",
"3 21 3\n0 3\n9 3\n15 3\n",
"0 1100010010 86846253\n",
"0 1100010010 74816749\n",
"1 8 1\n1 0\n",
"1 1 2\n0 1\n",
"1 10 5\n0 2\n",
"2 3 3\n0 1\n1 1\n",
"0 0 2\n",
"1 3 2\n0 2\n",
"0 0 1\n",
"0 1000010000 1000000010\n",
"1 13 5\n0 2\n",
"0 1000110000 1000000010\n",
"0 1100000000 187209489\n",
"0 1000110000 1000100010\n",
"0 1100010000 187209489\n",
"0 0000110000 1000100010\n",
"0 1100010010 187209489\n",
"0 0000100000 1000100010\n",
"0 0000101000 1000100010\n",
"1 5 3\n1 1\n",
"0 1000100000 1000000000\n",
"2 10 3\n0 1\n6 1\n",
"1 2 1\n1 0\n",
"2 11 3\n0 1\n2 1\n",
"0 10 2\n",
"1 3 4\n1 2\n",
"0 1000000000 1000001010\n",
"2 14 3\n0 1\n11 1\n",
"0 1000000100 563405053\n",
"1 10 10\n0 2\n",
"0 0 4\n",
"1 3 2\n0 0\n",
"0 1000000100 1000000010\n",
"0 1000001000 187209489\n",
"0 1000110000 1000000000\n",
"0 1000010000 187209489\n",
"0 1000010000 1000100010\n",
"0 1100010000 329499825\n",
"0 0000100000 1010100010\n",
"0 0100100000 1000100010\n",
"0 0000101000 1000100110\n",
"1 9 3\n1 1\n",
"3 21 1\n0 3\n9 3\n15 3\n",
"0 1010100000 1000000000\n",
"2 10 3\n0 1\n1 1\n",
"1 4 1\n1 0\n",
"2 9 3\n0 1\n2 1\n",
"0 6 2\n",
"0 1000001000 1000001010\n",
"0 1000000100 886069857\n",
"1 10 19\n0 2\n",
"1 3 4\n0 0\n",
"0 1000000100 1001000010\n",
"0 1000010000 297964318\n",
"0 1000010100 1000100010\n",
"0 1100010100 329499825\n",
"0 0000100000 1010110010\n",
"0 0100100000 1010100010\n",
"0 1000101000 1000100110\n",
"0 1010100000 1000001000\n",
"2 12 3\n0 1\n2 1\n",
"0 1000001001 1000001010\n",
"0 1000100100 886069857\n",
"1 10 9\n0 2\n",
"1 3 4\n1 0\n",
"0 1000010000 402811971\n",
"0 1000010100 1001100010\n",
"0 1100010100 624576334\n",
"0 0000100000 1011110010\n",
"0 0100010010 74816749\n",
"0 1000101100 1000100110\n",
"0 1010100010 1000001000\n",
"1 12 3\n0 1\n2 1\n",
"0 1000001001 1000001110\n",
"0 1000100100 1043045926\n",
"1 10 12\n0 2\n",
"1 3 8\n1 0\n",
"0 1000010110 1001100010\n",
"0 1100010101 624576334\n",
"0 0000100000 1011110000\n",
"0 0100010010 42971471\n",
"0 1000101100 1001100110\n"
],
"output": [
"3\n",
"2\n",
"0\n",
"1\n",
"1\n",
"1000000000\n",
"4\n",
"1\n",
"0\n",
"2\n",
"0\n",
"2\n",
"1\n",
"0\n",
"1\n",
"2\n",
"0\n",
"3\n",
"1\n",
"5\n",
"4\n",
"12\n",
"14\n",
"8\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"2\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"5\n",
"0\n",
"0\n",
"1\n",
"1\n",
"2\n",
"2\n",
"2\n",
"5\n",
"0\n",
"0\n",
"3\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"3\n",
"0\n",
"0\n",
"0\n",
"2\n",
"12\n",
"1\n",
"2\n",
"4\n",
"2\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"0\n",
"1\n",
"1\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"2\n",
"0\n",
"1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"2\n",
"0\n"
]
} | 2CODEFORCES
|
1059_A. Cashier_1489 | Vasya has recently got a job as a cashier at a local store. His day at work is L minutes long. Vasya has already memorized n regular customers, the i-th of which comes after t_{i} minutes after the beginning of the day, and his service consumes l_{i} minutes. It is guaranteed that no customer will arrive while Vasya is servicing another customer.
Vasya is a bit lazy, so he likes taking smoke breaks for a minutes each. Those breaks may go one after another, but Vasya must be present at work during all the time periods he must serve regular customers, otherwise one of them may alert his boss. What is the maximum number of breaks Vasya can take during the day?
Input
The first line contains three integers n, L and a (0 ≤ n ≤ 10^{5}, 1 ≤ L ≤ 10^{9}, 1 ≤ a ≤ L).
The i-th of the next n lines contains two integers t_{i} and l_{i} (0 ≤ t_{i} ≤ L - 1, 1 ≤ l_{i} ≤ L). It is guaranteed that t_{i} + l_{i} ≤ t_{i + 1} and t_{n} + l_{n} ≤ L.
Output
Output one integer — the maximum number of breaks.
Examples
Input
2 11 3
0 1
1 1
Output
3
Input
0 5 2
Output
2
Input
1 3 2
1 2
Output
0
Note
In the first sample Vasya can take 3 breaks starting after 2, 5 and 8 minutes after the beginning of the day.
In the second sample Vasya can take 2 breaks starting after 0 and 2 minutes after the beginning of the day.
In the third sample Vasya can't take any breaks. | n,l,a = map(int,input().split())
b =[]
for i in range(n):
b.append([int(e) for e in input().split()])
ans = 0
for i in range(n-1):
ans += (b[i+1][0] - b[i][1] - b[i][0])//a
if(n > 0):
ans += b[0][0]//a
ans += (l - b[n-1][1] - b[n-1][0])//a
else:
ans += l//a
print(ans)
| 3Python3
| {
"input": [
"2 11 3\n0 1\n1 1\n",
"0 5 2\n",
"1 3 2\n1 2\n",
"0 1 1\n",
"1 5 3\n3 1\n",
"0 1000000000 1\n",
"3 21 3\n3 3\n9 3\n15 3\n",
"0 1000000000 1000000000\n",
"1 1 1\n0 1\n",
"2 10 3\n0 1\n9 1\n",
"1 1000000000 1\n0 1000000000\n",
"0 1000000000 500000000\n",
"1 10 5\n5 2\n",
"1 3 2\n1 1\n",
"1 2 1\n1 1\n",
"0 2 1\n",
"0 1000000000 1000000010\n",
"2 14 3\n0 1\n9 1\n",
"0 1000000000 563405053\n",
"0 1000000000 187209489\n",
"3 21 3\n0 3\n9 3\n15 3\n",
"0 1100010010 86846253\n",
"0 1100010010 74816749\n",
"1 8 1\n1 0\n",
"1 1 2\n0 1\n",
"1 10 5\n0 2\n",
"2 3 3\n0 1\n1 1\n",
"0 0 2\n",
"1 3 2\n0 2\n",
"0 0 1\n",
"0 1000010000 1000000010\n",
"1 13 5\n0 2\n",
"0 1000110000 1000000010\n",
"0 1100000000 187209489\n",
"0 1000110000 1000100010\n",
"0 1100010000 187209489\n",
"0 0000110000 1000100010\n",
"0 1100010010 187209489\n",
"0 0000100000 1000100010\n",
"0 0000101000 1000100010\n",
"1 5 3\n1 1\n",
"0 1000100000 1000000000\n",
"2 10 3\n0 1\n6 1\n",
"1 2 1\n1 0\n",
"2 11 3\n0 1\n2 1\n",
"0 10 2\n",
"1 3 4\n1 2\n",
"0 1000000000 1000001010\n",
"2 14 3\n0 1\n11 1\n",
"0 1000000100 563405053\n",
"1 10 10\n0 2\n",
"0 0 4\n",
"1 3 2\n0 0\n",
"0 1000000100 1000000010\n",
"0 1000001000 187209489\n",
"0 1000110000 1000000000\n",
"0 1000010000 187209489\n",
"0 1000010000 1000100010\n",
"0 1100010000 329499825\n",
"0 0000100000 1010100010\n",
"0 0100100000 1000100010\n",
"0 0000101000 1000100110\n",
"1 9 3\n1 1\n",
"3 21 1\n0 3\n9 3\n15 3\n",
"0 1010100000 1000000000\n",
"2 10 3\n0 1\n1 1\n",
"1 4 1\n1 0\n",
"2 9 3\n0 1\n2 1\n",
"0 6 2\n",
"0 1000001000 1000001010\n",
"0 1000000100 886069857\n",
"1 10 19\n0 2\n",
"1 3 4\n0 0\n",
"0 1000000100 1001000010\n",
"0 1000010000 297964318\n",
"0 1000010100 1000100010\n",
"0 1100010100 329499825\n",
"0 0000100000 1010110010\n",
"0 0100100000 1010100010\n",
"0 1000101000 1000100110\n",
"0 1010100000 1000001000\n",
"2 12 3\n0 1\n2 1\n",
"0 1000001001 1000001010\n",
"0 1000100100 886069857\n",
"1 10 9\n0 2\n",
"1 3 4\n1 0\n",
"0 1000010000 402811971\n",
"0 1000010100 1001100010\n",
"0 1100010100 624576334\n",
"0 0000100000 1011110010\n",
"0 0100010010 74816749\n",
"0 1000101100 1000100110\n",
"0 1010100010 1000001000\n",
"1 12 3\n0 1\n2 1\n",
"0 1000001001 1000001110\n",
"0 1000100100 1043045926\n",
"1 10 12\n0 2\n",
"1 3 8\n1 0\n",
"0 1000010110 1001100010\n",
"0 1100010101 624576334\n",
"0 0000100000 1011110000\n",
"0 0100010010 42971471\n",
"0 1000101100 1001100110\n"
],
"output": [
"3\n",
"2\n",
"0\n",
"1\n",
"1\n",
"1000000000\n",
"4\n",
"1\n",
"0\n",
"2\n",
"0\n",
"2\n",
"1\n",
"0\n",
"1\n",
"2\n",
"0\n",
"3\n",
"1\n",
"5\n",
"4\n",
"12\n",
"14\n",
"8\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"2\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"5\n",
"0\n",
"0\n",
"1\n",
"1\n",
"2\n",
"2\n",
"2\n",
"5\n",
"0\n",
"0\n",
"3\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"3\n",
"0\n",
"0\n",
"0\n",
"2\n",
"12\n",
"1\n",
"2\n",
"4\n",
"2\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"0\n",
"1\n",
"1\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"2\n",
"0\n",
"1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"2\n",
"0\n"
]
} | 2CODEFORCES
|
1059_A. Cashier_1490 | Vasya has recently got a job as a cashier at a local store. His day at work is L minutes long. Vasya has already memorized n regular customers, the i-th of which comes after t_{i} minutes after the beginning of the day, and his service consumes l_{i} minutes. It is guaranteed that no customer will arrive while Vasya is servicing another customer.
Vasya is a bit lazy, so he likes taking smoke breaks for a minutes each. Those breaks may go one after another, but Vasya must be present at work during all the time periods he must serve regular customers, otherwise one of them may alert his boss. What is the maximum number of breaks Vasya can take during the day?
Input
The first line contains three integers n, L and a (0 ≤ n ≤ 10^{5}, 1 ≤ L ≤ 10^{9}, 1 ≤ a ≤ L).
The i-th of the next n lines contains two integers t_{i} and l_{i} (0 ≤ t_{i} ≤ L - 1, 1 ≤ l_{i} ≤ L). It is guaranteed that t_{i} + l_{i} ≤ t_{i + 1} and t_{n} + l_{n} ≤ L.
Output
Output one integer — the maximum number of breaks.
Examples
Input
2 11 3
0 1
1 1
Output
3
Input
0 5 2
Output
2
Input
1 3 2
1 2
Output
0
Note
In the first sample Vasya can take 3 breaks starting after 2, 5 and 8 minutes after the beginning of the day.
In the second sample Vasya can take 2 breaks starting after 0 and 2 minutes after the beginning of the day.
In the third sample Vasya can't take any breaks. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.*;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.InputStreamReader;
import java.io.InputStream;
public class Main {
public static void main(String[] args) throws IOException {
// File file1 = new File("C:/Users/hasee/Desktop/std.in");
// File file3 = new File("C:/Users/hasee/Desktop/std.out");
// File file2 = new File("C:/Users/hasee/Desktop/2.txt");
// InputStream inputStream = new FileInputStream(file1);
// InputStream inputStream1 = new FileInputStream(file3);
// OutputStream outputStream = new FileOutputStream(file2);
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
PrintWriter out = new PrintWriter(outputStream);
TaskA solver = new TaskA();
solver.solve(1, in, out);
out.close();
}
static class TaskA {
public void solve(int testNumber, InputReader in, PrintWriter out) throws IOException {
int a = in.nextInt();
int sum = in.nextInt();
int b = in.nextInt();
int t = 0;
int ans = 0;
for(int n=0;n<a;n++){
int x = in.nextInt();
int y = in.nextInt();
ans += (x - t)/b;
t = x+y;
}
ans += (sum - t)/b;
System.out.println(ans);
}
}
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());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public long nextLong() {
return Long.parseLong(next());
}
}
}
class Node{
int l,r,t;
} | 4JAVA
| {
"input": [
"2 11 3\n0 1\n1 1\n",
"0 5 2\n",
"1 3 2\n1 2\n",
"0 1 1\n",
"1 5 3\n3 1\n",
"0 1000000000 1\n",
"3 21 3\n3 3\n9 3\n15 3\n",
"0 1000000000 1000000000\n",
"1 1 1\n0 1\n",
"2 10 3\n0 1\n9 1\n",
"1 1000000000 1\n0 1000000000\n",
"0 1000000000 500000000\n",
"1 10 5\n5 2\n",
"1 3 2\n1 1\n",
"1 2 1\n1 1\n",
"0 2 1\n",
"0 1000000000 1000000010\n",
"2 14 3\n0 1\n9 1\n",
"0 1000000000 563405053\n",
"0 1000000000 187209489\n",
"3 21 3\n0 3\n9 3\n15 3\n",
"0 1100010010 86846253\n",
"0 1100010010 74816749\n",
"1 8 1\n1 0\n",
"1 1 2\n0 1\n",
"1 10 5\n0 2\n",
"2 3 3\n0 1\n1 1\n",
"0 0 2\n",
"1 3 2\n0 2\n",
"0 0 1\n",
"0 1000010000 1000000010\n",
"1 13 5\n0 2\n",
"0 1000110000 1000000010\n",
"0 1100000000 187209489\n",
"0 1000110000 1000100010\n",
"0 1100010000 187209489\n",
"0 0000110000 1000100010\n",
"0 1100010010 187209489\n",
"0 0000100000 1000100010\n",
"0 0000101000 1000100010\n",
"1 5 3\n1 1\n",
"0 1000100000 1000000000\n",
"2 10 3\n0 1\n6 1\n",
"1 2 1\n1 0\n",
"2 11 3\n0 1\n2 1\n",
"0 10 2\n",
"1 3 4\n1 2\n",
"0 1000000000 1000001010\n",
"2 14 3\n0 1\n11 1\n",
"0 1000000100 563405053\n",
"1 10 10\n0 2\n",
"0 0 4\n",
"1 3 2\n0 0\n",
"0 1000000100 1000000010\n",
"0 1000001000 187209489\n",
"0 1000110000 1000000000\n",
"0 1000010000 187209489\n",
"0 1000010000 1000100010\n",
"0 1100010000 329499825\n",
"0 0000100000 1010100010\n",
"0 0100100000 1000100010\n",
"0 0000101000 1000100110\n",
"1 9 3\n1 1\n",
"3 21 1\n0 3\n9 3\n15 3\n",
"0 1010100000 1000000000\n",
"2 10 3\n0 1\n1 1\n",
"1 4 1\n1 0\n",
"2 9 3\n0 1\n2 1\n",
"0 6 2\n",
"0 1000001000 1000001010\n",
"0 1000000100 886069857\n",
"1 10 19\n0 2\n",
"1 3 4\n0 0\n",
"0 1000000100 1001000010\n",
"0 1000010000 297964318\n",
"0 1000010100 1000100010\n",
"0 1100010100 329499825\n",
"0 0000100000 1010110010\n",
"0 0100100000 1010100010\n",
"0 1000101000 1000100110\n",
"0 1010100000 1000001000\n",
"2 12 3\n0 1\n2 1\n",
"0 1000001001 1000001010\n",
"0 1000100100 886069857\n",
"1 10 9\n0 2\n",
"1 3 4\n1 0\n",
"0 1000010000 402811971\n",
"0 1000010100 1001100010\n",
"0 1100010100 624576334\n",
"0 0000100000 1011110010\n",
"0 0100010010 74816749\n",
"0 1000101100 1000100110\n",
"0 1010100010 1000001000\n",
"1 12 3\n0 1\n2 1\n",
"0 1000001001 1000001110\n",
"0 1000100100 1043045926\n",
"1 10 12\n0 2\n",
"1 3 8\n1 0\n",
"0 1000010110 1001100010\n",
"0 1100010101 624576334\n",
"0 0000100000 1011110000\n",
"0 0100010010 42971471\n",
"0 1000101100 1001100110\n"
],
"output": [
"3\n",
"2\n",
"0\n",
"1\n",
"1\n",
"1000000000\n",
"4\n",
"1\n",
"0\n",
"2\n",
"0\n",
"2\n",
"1\n",
"0\n",
"1\n",
"2\n",
"0\n",
"3\n",
"1\n",
"5\n",
"4\n",
"12\n",
"14\n",
"8\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"2\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"5\n",
"0\n",
"0\n",
"1\n",
"1\n",
"2\n",
"2\n",
"2\n",
"5\n",
"0\n",
"0\n",
"3\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"5\n",
"1\n",
"5\n",
"0\n",
"3\n",
"0\n",
"0\n",
"0\n",
"2\n",
"12\n",
"1\n",
"2\n",
"4\n",
"2\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"3\n",
"0\n",
"3\n",
"0\n",
"0\n",
"1\n",
"1\n",
"3\n",
"0\n",
"1\n",
"0\n",
"0\n",
"2\n",
"0\n",
"1\n",
"0\n",
"1\n",
"1\n",
"1\n",
"3\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"2\n",
"0\n"
]
} | 2CODEFORCES
|
1080_C. Masha and two friends_1491 | Recently, Masha was presented with a chessboard with a height of n and a width of m.
The rows on the chessboard are numbered from 1 to n from bottom to top. The columns are numbered from 1 to m from left to right. Therefore, each cell can be specified with the coordinates (x,y), where x is the column number, and y is the row number (do not mix up).
Let us call a rectangle with coordinates (a,b,c,d) a rectangle lower left point of which has coordinates (a,b), and the upper right one — (c,d).
The chessboard is painted black and white as follows:
<image> An example of a chessboard.
Masha was very happy with the gift and, therefore, invited her friends Maxim and Denis to show off. The guys decided to make her a treat — they bought her a can of white and a can of black paint, so that if the old board deteriorates, it can be repainted. When they came to Masha, something unpleasant happened: first, Maxim went over the threshold and spilled white paint on the rectangle (x_1,y_1,x_2,y_2). Then after him Denis spilled black paint on the rectangle (x_3,y_3,x_4,y_4).
To spill paint of color color onto a certain rectangle means that all the cells that belong to the given rectangle become color. The cell dyeing is superimposed on each other (if at first some cell is spilled with white paint and then with black one, then its color will be black).
Masha was shocked! She drove away from the guests and decided to find out how spoiled the gift was. For this, she needs to know the number of cells of white and black color. Help her find these numbers!
Input
The first line contains a single integer t (1 ≤ t ≤ 10^3) — the number of test cases.
Each of them is described in the following format:
The first line contains two integers n and m (1 ≤ n,m ≤ 10^9) — the size of the board.
The second line contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1 ≤ x_2 ≤ m, 1 ≤ y_1 ≤ y_2 ≤ n) — the coordinates of the rectangle, the white paint was spilled on.
The third line contains four integers x_3, y_3, x_4, y_4 (1 ≤ x_3 ≤ x_4 ≤ m, 1 ≤ y_3 ≤ y_4 ≤ n) — the coordinates of the rectangle, the black paint was spilled on.
Output
Output t lines, each of which contains two numbers — the number of white and black cells after spilling paint, respectively.
Example
Input
5
2 2
1 1 2 2
1 1 2 2
3 4
2 2 3 2
3 1 4 3
1 5
1 1 5 1
3 1 5 1
4 4
1 1 4 2
1 3 4 4
3 4
1 2 4 2
2 1 3 3
Output
0 4
3 9
2 3
8 8
4 8
Note
Explanation for examples:
The first picture of each illustration shows how the field looked before the dyes were spilled. The second picture of each illustration shows how the field looked after Maxim spoiled white dye (the rectangle on which the dye was spilled is highlighted with red). The third picture in each illustration shows how the field looked after Denis spoiled black dye (the rectangle on which the dye was spilled is highlighted with red).
In the first test, the paint on the field changed as follows:
<image>
In the second test, the paint on the field changed as follows:
<image>
In the third test, the paint on the field changed as follows:
<image>
In the fourth test, the paint on the field changed as follows:
<image>
In the fifth test, the paint on the field changed as follows:
<image> | input = raw_input
def calc_in_rect(r1, c1, r2, c2):
n = r2 - r1 + 1
m = c2 - c1 + 1
if n <= 0 or m <= 0:
return [0] * 3
ret = [0, 0, max(0, n * m)]
ret[0] = ret[1] = n * m // 2
if (n * m) & 1:
ret[(r1 + c1) & 1] += 1
return ret
def solve():
n, m = map(int, input().split())
c1, r1, c2, r2 = map(int, input().split())
c3, r3, c4, r4 = map(int, input().split())
inter = [
max(r1, r3),
max(c1, c3),
min(r2, r4),
min(c2, c4)
]
calc_s = calc_in_rect(r1, c1, r2, c2)
calc_d = calc_in_rect(r3, c3, r4, c4)
calc_inter = calc_in_rect(*inter)
num_wh = calc_in_rect(1, 1, n, m)[0]
# print('*' * 20, num_wh)
# print(inter)
num_wh += calc_s[1]
# print('*' * 20, num_wh)
num_wh -= calc_inter[2]
# print('*' * 20, num_wh)
num_wh -= calc_d[0] - calc_inter[0]
# print('*' * 20, num_wh)
print num_wh, (n * m) - num_wh
for i in range(int(input())):
solve()
| 1Python2
| {
"input": [
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n346 903 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 5\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n514 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1195 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n258 903 628 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n6 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 2003\n",
"1\n3456 4567\n1 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 576 311 1001\n514 1392 1005 2003\n",
"1\n3456 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1726 2003\n",
"1\n3456 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 202 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 3210\n",
"1\n3456 4567\n2 244 678 1000\n354 1392 1726 2003\n",
"1\n4361 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 110 754 1000\n447 1472 454 2003\n",
"1\n3456 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1005 2003\n",
"1\n3456 4567\n1 010 754 1000\n447 1472 454 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 179 1005 3210\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2478\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1111\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 661 1801\n",
"1\n4361 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1048\n",
"1\n5059 4567\n1 234 678 1000\n346 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 642 1005 2003\n",
"1\n3456 6293\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 999 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 393 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 488 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 393 1001\n514 1392 1005 2003\n",
"1\n3456 5640\n1 234 678 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 262 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 210 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n183 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n543 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n623 1392 1005 2003\n",
"1\n3456 4567\n1 166 1195 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 2 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 205 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n623 1392 1005 2003\n",
"1\n4503 1218\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 120 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 68 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n620 1472 1005 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 1645\n",
"1\n3456 4567\n1 244 719 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 0100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 1623\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1322 2003\n",
"1\n3456 4567\n2 234 678 1000\n290 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 940 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 138 1005 2003\n",
"1\n4375 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1473 1000\n447 1472 454 2003\n"
],
"output": [
"0 4\n3 9\n2 3\n8 8\n4 8\n",
"7772142 8011410\n",
"0 4\n5 10\n2 3\n8 8\n4 8\n",
"7804515 7979037\n",
"7872858 7910694\n",
"8001237 7782315\n",
"8001576 7781976\n",
"7860648 7922904\n",
"7890970 7892582\n",
"8851738 8853350\n",
"7976229 7807323\n",
"0 4\n4 8\n2 3\n8 8\n4 8\n",
"8014504 7769048\n",
"7748685 8034867\n",
"8004627 7778925\n",
"10392401 10172800\n",
"12161640 12223896\n",
"8032050 7751502\n",
"8851257 8853831\n",
"8174499 7609053\n",
"7929375 7854177\n",
"7748301 8035251\n",
"8034591 7748961\n",
"10426301 10138900\n",
"12157130 12228406\n",
"14557113 14559687\n",
"8005375 7778177\n",
"0 4\n4 8\n2 3\n12 12\n4 8\n",
"7651724 8131828\n",
"8031201 7752351\n",
"10609449 9955752\n",
"12119344 12266192\n",
"14557268 14559532\n",
"8151941 7631611\n",
"7613840 8169712\n",
"8030822 7752730\n",
"10719449 9845752\n",
"12108459 12277077\n",
"8887700 8889964\n",
"8178807 7604745\n",
"7618514 8165038\n",
"7810196 7973356\n",
"12137853 12247683\n",
"13007252 13009516\n",
"8190871 7592681\n",
"7321592 8461960\n",
"7727882 8055670\n",
"15330693 15440523\n",
"13006770 13009998\n",
"8225555 7557997\n",
"14971448 16111816\n",
"15332938 15438278\n",
"13022220 12994548\n",
"8263255 7520297\n",
"30252254 31392622\n",
"15149914 15621302\n",
"12886050 13130718\n",
"30272918 31371958\n",
"16807094 17278482\n",
"12663512 13353256\n",
"16856786 17228790\n",
"16880894 17204682\n",
"16984910 17100666\n",
"31336961 31452717\n",
"31359411 31430267\n",
"31359187 31430491\n",
"31436803 31352875\n",
"31241017 31548661\n",
"55530443 55838087\n",
"55703171 55665359\n",
"11432593 11671860\n",
"7689023 8094529\n",
"10855386 10893222\n",
"8124341 7659211\n",
"7947675 7835877\n",
"7928616 7854936\n",
"7930453 7853099\n",
"9830373 9661467\n",
"7867715 7915837\n",
"7647188 8136364\n",
"7903341 7880211\n",
"12161485 12224051\n",
"8040924 7742628\n",
"8884611 8820477\n",
"8215129 7568423\n",
"2 2\n4 8\n2 3\n8 8\n4 8\n",
"7606176 8177376\n",
"8034930 7748622\n",
"2886027 2598627\n",
"12086556 12298980\n",
"14440109 14676691\n",
"8078259 7705293\n",
"7739792 8043760\n",
"8046720 7736832\n",
"10175449 10389752\n",
"12212824 12172712\n",
"14460266 14656534\n",
"7312000 8471552\n",
"7942556 7840996\n",
"10173821 10391380\n",
"11251368 11253632\n",
"8454544 7329008\n"
]
} | 2CODEFORCES
|
1080_C. Masha and two friends_1492 | Recently, Masha was presented with a chessboard with a height of n and a width of m.
The rows on the chessboard are numbered from 1 to n from bottom to top. The columns are numbered from 1 to m from left to right. Therefore, each cell can be specified with the coordinates (x,y), where x is the column number, and y is the row number (do not mix up).
Let us call a rectangle with coordinates (a,b,c,d) a rectangle lower left point of which has coordinates (a,b), and the upper right one — (c,d).
The chessboard is painted black and white as follows:
<image> An example of a chessboard.
Masha was very happy with the gift and, therefore, invited her friends Maxim and Denis to show off. The guys decided to make her a treat — they bought her a can of white and a can of black paint, so that if the old board deteriorates, it can be repainted. When they came to Masha, something unpleasant happened: first, Maxim went over the threshold and spilled white paint on the rectangle (x_1,y_1,x_2,y_2). Then after him Denis spilled black paint on the rectangle (x_3,y_3,x_4,y_4).
To spill paint of color color onto a certain rectangle means that all the cells that belong to the given rectangle become color. The cell dyeing is superimposed on each other (if at first some cell is spilled with white paint and then with black one, then its color will be black).
Masha was shocked! She drove away from the guests and decided to find out how spoiled the gift was. For this, she needs to know the number of cells of white and black color. Help her find these numbers!
Input
The first line contains a single integer t (1 ≤ t ≤ 10^3) — the number of test cases.
Each of them is described in the following format:
The first line contains two integers n and m (1 ≤ n,m ≤ 10^9) — the size of the board.
The second line contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1 ≤ x_2 ≤ m, 1 ≤ y_1 ≤ y_2 ≤ n) — the coordinates of the rectangle, the white paint was spilled on.
The third line contains four integers x_3, y_3, x_4, y_4 (1 ≤ x_3 ≤ x_4 ≤ m, 1 ≤ y_3 ≤ y_4 ≤ n) — the coordinates of the rectangle, the black paint was spilled on.
Output
Output t lines, each of which contains two numbers — the number of white and black cells after spilling paint, respectively.
Example
Input
5
2 2
1 1 2 2
1 1 2 2
3 4
2 2 3 2
3 1 4 3
1 5
1 1 5 1
3 1 5 1
4 4
1 1 4 2
1 3 4 4
3 4
1 2 4 2
2 1 3 3
Output
0 4
3 9
2 3
8 8
4 8
Note
Explanation for examples:
The first picture of each illustration shows how the field looked before the dyes were spilled. The second picture of each illustration shows how the field looked after Maxim spoiled white dye (the rectangle on which the dye was spilled is highlighted with red). The third picture in each illustration shows how the field looked after Denis spoiled black dye (the rectangle on which the dye was spilled is highlighted with red).
In the first test, the paint on the field changed as follows:
<image>
In the second test, the paint on the field changed as follows:
<image>
In the third test, the paint on the field changed as follows:
<image>
In the fourth test, the paint on the field changed as follows:
<image>
In the fifth test, the paint on the field changed as follows:
<image> | #include <bits/stdc++.h>
using namespace std;
long long calc(long long x1, long long y1, long long x2, long long y2) {
if ((x2 - x1 + 1) * (y2 - y1 + 1) % 2 == 0) return 1;
return 2;
}
int main() {
long long t;
cin >> t;
while (t--) {
long long n, m;
cin >> n >> m;
long long x1, y1, x2, y2;
cin >> x1 >> y1 >> x2 >> y2;
long long x3, y3, x4, y4;
cin >> x3 >> y3 >> x4 >> y4;
long long a, b;
long long sum_a, sum_b;
if (calc(1, 1, m, n) == 1) {
sum_a = sum_b = n * m / 2;
} else {
sum_a = n * m / 2 + 1;
sum_b = n * m / 2;
}
if (calc(x1, y1, x2, y2) == 1)
a = (x2 - x1 + 1) * (y2 - y1 + 1) / 2;
else {
if (x1 % 2 == y1 % 2)
a = (x2 - x1 + 1) * (y2 - y1 + 1) / 2;
else
a = (x2 - x1 + 1) * (y2 - y1 + 1) / 2 + 1;
}
if (calc(x3, y3, x4, y4) == 1)
b = (x4 - x3 + 1) * (y4 - y3 + 1) / 2;
else {
if (x3 % 2 == y3 % 2)
b = (x4 - x3 + 1) * (y4 - y3 + 1) / 2 + 1;
else
b = (x4 - x3 + 1) * (y4 - y3 + 1) / 2;
}
sum_a += a;
sum_a -= b;
sum_b -= a;
sum_b += b;
long long tmpx = max(x1, x3);
long long tmpy = max(y1, y3);
long long tmpxx = min(x2, x4);
long long tmpyy = min(y2, y4);
if (tmpx > tmpxx || tmpy > tmpyy) {
} else {
long long c;
if (calc(tmpx, tmpy, tmpxx, tmpyy) == 1)
c = (tmpxx - tmpx + 1) * (tmpyy - tmpy + 1) / 2;
else {
if (tmpx % 2 == tmpy % 2)
c = (tmpxx - tmpx + 1) * (tmpyy - tmpy + 1) / 2;
else
c = (tmpxx - tmpx + 1) * (tmpyy - tmpy + 1) / 2 + 1;
}
sum_b += c;
sum_a -= c;
}
cout << sum_a << " " << sum_b << endl;
}
}
| 2C++
| {
"input": [
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n346 903 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 5\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n514 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1195 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n258 903 628 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n6 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 2003\n",
"1\n3456 4567\n1 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 576 311 1001\n514 1392 1005 2003\n",
"1\n3456 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1726 2003\n",
"1\n3456 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 202 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 3210\n",
"1\n3456 4567\n2 244 678 1000\n354 1392 1726 2003\n",
"1\n4361 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 110 754 1000\n447 1472 454 2003\n",
"1\n3456 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1005 2003\n",
"1\n3456 4567\n1 010 754 1000\n447 1472 454 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 179 1005 3210\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2478\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1111\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 661 1801\n",
"1\n4361 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1048\n",
"1\n5059 4567\n1 234 678 1000\n346 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 642 1005 2003\n",
"1\n3456 6293\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 999 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 393 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 488 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 393 1001\n514 1392 1005 2003\n",
"1\n3456 5640\n1 234 678 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 262 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 210 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n183 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n543 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n623 1392 1005 2003\n",
"1\n3456 4567\n1 166 1195 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 2 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 205 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n623 1392 1005 2003\n",
"1\n4503 1218\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 120 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 68 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n620 1472 1005 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 1645\n",
"1\n3456 4567\n1 244 719 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 0100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 1623\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1322 2003\n",
"1\n3456 4567\n2 234 678 1000\n290 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 940 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 138 1005 2003\n",
"1\n4375 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1473 1000\n447 1472 454 2003\n"
],
"output": [
"0 4\n3 9\n2 3\n8 8\n4 8\n",
"7772142 8011410\n",
"0 4\n5 10\n2 3\n8 8\n4 8\n",
"7804515 7979037\n",
"7872858 7910694\n",
"8001237 7782315\n",
"8001576 7781976\n",
"7860648 7922904\n",
"7890970 7892582\n",
"8851738 8853350\n",
"7976229 7807323\n",
"0 4\n4 8\n2 3\n8 8\n4 8\n",
"8014504 7769048\n",
"7748685 8034867\n",
"8004627 7778925\n",
"10392401 10172800\n",
"12161640 12223896\n",
"8032050 7751502\n",
"8851257 8853831\n",
"8174499 7609053\n",
"7929375 7854177\n",
"7748301 8035251\n",
"8034591 7748961\n",
"10426301 10138900\n",
"12157130 12228406\n",
"14557113 14559687\n",
"8005375 7778177\n",
"0 4\n4 8\n2 3\n12 12\n4 8\n",
"7651724 8131828\n",
"8031201 7752351\n",
"10609449 9955752\n",
"12119344 12266192\n",
"14557268 14559532\n",
"8151941 7631611\n",
"7613840 8169712\n",
"8030822 7752730\n",
"10719449 9845752\n",
"12108459 12277077\n",
"8887700 8889964\n",
"8178807 7604745\n",
"7618514 8165038\n",
"7810196 7973356\n",
"12137853 12247683\n",
"13007252 13009516\n",
"8190871 7592681\n",
"7321592 8461960\n",
"7727882 8055670\n",
"15330693 15440523\n",
"13006770 13009998\n",
"8225555 7557997\n",
"14971448 16111816\n",
"15332938 15438278\n",
"13022220 12994548\n",
"8263255 7520297\n",
"30252254 31392622\n",
"15149914 15621302\n",
"12886050 13130718\n",
"30272918 31371958\n",
"16807094 17278482\n",
"12663512 13353256\n",
"16856786 17228790\n",
"16880894 17204682\n",
"16984910 17100666\n",
"31336961 31452717\n",
"31359411 31430267\n",
"31359187 31430491\n",
"31436803 31352875\n",
"31241017 31548661\n",
"55530443 55838087\n",
"55703171 55665359\n",
"11432593 11671860\n",
"7689023 8094529\n",
"10855386 10893222\n",
"8124341 7659211\n",
"7947675 7835877\n",
"7928616 7854936\n",
"7930453 7853099\n",
"9830373 9661467\n",
"7867715 7915837\n",
"7647188 8136364\n",
"7903341 7880211\n",
"12161485 12224051\n",
"8040924 7742628\n",
"8884611 8820477\n",
"8215129 7568423\n",
"2 2\n4 8\n2 3\n8 8\n4 8\n",
"7606176 8177376\n",
"8034930 7748622\n",
"2886027 2598627\n",
"12086556 12298980\n",
"14440109 14676691\n",
"8078259 7705293\n",
"7739792 8043760\n",
"8046720 7736832\n",
"10175449 10389752\n",
"12212824 12172712\n",
"14460266 14656534\n",
"7312000 8471552\n",
"7942556 7840996\n",
"10173821 10391380\n",
"11251368 11253632\n",
"8454544 7329008\n"
]
} | 2CODEFORCES
|
1080_C. Masha and two friends_1493 | Recently, Masha was presented with a chessboard with a height of n and a width of m.
The rows on the chessboard are numbered from 1 to n from bottom to top. The columns are numbered from 1 to m from left to right. Therefore, each cell can be specified with the coordinates (x,y), where x is the column number, and y is the row number (do not mix up).
Let us call a rectangle with coordinates (a,b,c,d) a rectangle lower left point of which has coordinates (a,b), and the upper right one — (c,d).
The chessboard is painted black and white as follows:
<image> An example of a chessboard.
Masha was very happy with the gift and, therefore, invited her friends Maxim and Denis to show off. The guys decided to make her a treat — they bought her a can of white and a can of black paint, so that if the old board deteriorates, it can be repainted. When they came to Masha, something unpleasant happened: first, Maxim went over the threshold and spilled white paint on the rectangle (x_1,y_1,x_2,y_2). Then after him Denis spilled black paint on the rectangle (x_3,y_3,x_4,y_4).
To spill paint of color color onto a certain rectangle means that all the cells that belong to the given rectangle become color. The cell dyeing is superimposed on each other (if at first some cell is spilled with white paint and then with black one, then its color will be black).
Masha was shocked! She drove away from the guests and decided to find out how spoiled the gift was. For this, she needs to know the number of cells of white and black color. Help her find these numbers!
Input
The first line contains a single integer t (1 ≤ t ≤ 10^3) — the number of test cases.
Each of them is described in the following format:
The first line contains two integers n and m (1 ≤ n,m ≤ 10^9) — the size of the board.
The second line contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1 ≤ x_2 ≤ m, 1 ≤ y_1 ≤ y_2 ≤ n) — the coordinates of the rectangle, the white paint was spilled on.
The third line contains four integers x_3, y_3, x_4, y_4 (1 ≤ x_3 ≤ x_4 ≤ m, 1 ≤ y_3 ≤ y_4 ≤ n) — the coordinates of the rectangle, the black paint was spilled on.
Output
Output t lines, each of which contains two numbers — the number of white and black cells after spilling paint, respectively.
Example
Input
5
2 2
1 1 2 2
1 1 2 2
3 4
2 2 3 2
3 1 4 3
1 5
1 1 5 1
3 1 5 1
4 4
1 1 4 2
1 3 4 4
3 4
1 2 4 2
2 1 3 3
Output
0 4
3 9
2 3
8 8
4 8
Note
Explanation for examples:
The first picture of each illustration shows how the field looked before the dyes were spilled. The second picture of each illustration shows how the field looked after Maxim spoiled white dye (the rectangle on which the dye was spilled is highlighted with red). The third picture in each illustration shows how the field looked after Denis spoiled black dye (the rectangle on which the dye was spilled is highlighted with red).
In the first test, the paint on the field changed as follows:
<image>
In the second test, the paint on the field changed as follows:
<image>
In the third test, the paint on the field changed as follows:
<image>
In the fourth test, the paint on the field changed as follows:
<image>
In the fifth test, the paint on the field changed as follows:
<image> | def num_sq(x,y,x2,y2):
# b, w
a = (abs(x2-x)+1)
b = (abs(y2-y)+1)
if a % 2 == 0 or b % 2 == 0:
return (a*b // 2, a*b // 2)
if (x+y) % 2 == 0:
num_b = a * b // 2
return (num_b, a * b - num_b)
num_w = a * b // 2
return (a * b - num_w, num_w)
def pt_in(p1, r1, r2):
return r1[0] <= p1[0] <= r2[0] and r1[1] <= p1[1] <= r2[1]
def intc(p1, p2, p3, p4):
x1 = max(p1[0], p3[0])
x2 = min(p2[0], p4[0])
y1 = max(p1[1], p3[1])
y2 = min(p2[1], p4[1])
if x1 <= x2 and y1 <= y2:
return ((x1, y1), (x2, y2))
return None
num_ = int(input())
for _ in range(num_):
n, m = map(int, input().split())
x1,y1,x2,y2 = map(int,input().split())
x3,y3,x4,y4 = map(int,input().split())
p1 = (x1,y1)
p2 = (x2,y2)
p3 = (x3,y3)
p4 = (x4,y4)
all_b, all_w = num_sq(1, 1, n, m)
tmp = intc(p1, p2, p3, p4)
if tmp:
intc_1, intc_2 = tmp
t_b, t_w = num_sq(intc_1[0], intc_1[1], intc_2[0], intc_2[1])
b,w = num_sq(x1,y1,x2,y2)
if tmp:
b -= t_b
w -= t_w
b2,w2 = num_sq(x3,y3,x4,y4)
if tmp:
b2 -= t_b
w2 -= t_w
w_tot, b_tot = (all_w + b - w2, all_b - b + w2)
if tmp:
w_tot -= t_w
b_tot += t_w
print(w_tot, b_tot)
| 3Python3
| {
"input": [
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n346 903 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 5\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n514 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1195 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n258 903 628 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n6 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 2003\n",
"1\n3456 4567\n1 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 576 311 1001\n514 1392 1005 2003\n",
"1\n3456 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1726 2003\n",
"1\n3456 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 202 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 3210\n",
"1\n3456 4567\n2 244 678 1000\n354 1392 1726 2003\n",
"1\n4361 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 110 754 1000\n447 1472 454 2003\n",
"1\n3456 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1005 2003\n",
"1\n3456 4567\n1 010 754 1000\n447 1472 454 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 179 1005 3210\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2478\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1111\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 661 1801\n",
"1\n4361 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1048\n",
"1\n5059 4567\n1 234 678 1000\n346 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 642 1005 2003\n",
"1\n3456 6293\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 999 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 393 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 488 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 393 1001\n514 1392 1005 2003\n",
"1\n3456 5640\n1 234 678 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 262 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 210 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n183 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n543 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n623 1392 1005 2003\n",
"1\n3456 4567\n1 166 1195 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 2 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 205 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n623 1392 1005 2003\n",
"1\n4503 1218\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 120 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 68 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n620 1472 1005 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 1645\n",
"1\n3456 4567\n1 244 719 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 0100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 1623\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1322 2003\n",
"1\n3456 4567\n2 234 678 1000\n290 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 940 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 138 1005 2003\n",
"1\n4375 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1473 1000\n447 1472 454 2003\n"
],
"output": [
"0 4\n3 9\n2 3\n8 8\n4 8\n",
"7772142 8011410\n",
"0 4\n5 10\n2 3\n8 8\n4 8\n",
"7804515 7979037\n",
"7872858 7910694\n",
"8001237 7782315\n",
"8001576 7781976\n",
"7860648 7922904\n",
"7890970 7892582\n",
"8851738 8853350\n",
"7976229 7807323\n",
"0 4\n4 8\n2 3\n8 8\n4 8\n",
"8014504 7769048\n",
"7748685 8034867\n",
"8004627 7778925\n",
"10392401 10172800\n",
"12161640 12223896\n",
"8032050 7751502\n",
"8851257 8853831\n",
"8174499 7609053\n",
"7929375 7854177\n",
"7748301 8035251\n",
"8034591 7748961\n",
"10426301 10138900\n",
"12157130 12228406\n",
"14557113 14559687\n",
"8005375 7778177\n",
"0 4\n4 8\n2 3\n12 12\n4 8\n",
"7651724 8131828\n",
"8031201 7752351\n",
"10609449 9955752\n",
"12119344 12266192\n",
"14557268 14559532\n",
"8151941 7631611\n",
"7613840 8169712\n",
"8030822 7752730\n",
"10719449 9845752\n",
"12108459 12277077\n",
"8887700 8889964\n",
"8178807 7604745\n",
"7618514 8165038\n",
"7810196 7973356\n",
"12137853 12247683\n",
"13007252 13009516\n",
"8190871 7592681\n",
"7321592 8461960\n",
"7727882 8055670\n",
"15330693 15440523\n",
"13006770 13009998\n",
"8225555 7557997\n",
"14971448 16111816\n",
"15332938 15438278\n",
"13022220 12994548\n",
"8263255 7520297\n",
"30252254 31392622\n",
"15149914 15621302\n",
"12886050 13130718\n",
"30272918 31371958\n",
"16807094 17278482\n",
"12663512 13353256\n",
"16856786 17228790\n",
"16880894 17204682\n",
"16984910 17100666\n",
"31336961 31452717\n",
"31359411 31430267\n",
"31359187 31430491\n",
"31436803 31352875\n",
"31241017 31548661\n",
"55530443 55838087\n",
"55703171 55665359\n",
"11432593 11671860\n",
"7689023 8094529\n",
"10855386 10893222\n",
"8124341 7659211\n",
"7947675 7835877\n",
"7928616 7854936\n",
"7930453 7853099\n",
"9830373 9661467\n",
"7867715 7915837\n",
"7647188 8136364\n",
"7903341 7880211\n",
"12161485 12224051\n",
"8040924 7742628\n",
"8884611 8820477\n",
"8215129 7568423\n",
"2 2\n4 8\n2 3\n8 8\n4 8\n",
"7606176 8177376\n",
"8034930 7748622\n",
"2886027 2598627\n",
"12086556 12298980\n",
"14440109 14676691\n",
"8078259 7705293\n",
"7739792 8043760\n",
"8046720 7736832\n",
"10175449 10389752\n",
"12212824 12172712\n",
"14460266 14656534\n",
"7312000 8471552\n",
"7942556 7840996\n",
"10173821 10391380\n",
"11251368 11253632\n",
"8454544 7329008\n"
]
} | 2CODEFORCES
|
1080_C. Masha and two friends_1494 | Recently, Masha was presented with a chessboard with a height of n and a width of m.
The rows on the chessboard are numbered from 1 to n from bottom to top. The columns are numbered from 1 to m from left to right. Therefore, each cell can be specified with the coordinates (x,y), where x is the column number, and y is the row number (do not mix up).
Let us call a rectangle with coordinates (a,b,c,d) a rectangle lower left point of which has coordinates (a,b), and the upper right one — (c,d).
The chessboard is painted black and white as follows:
<image> An example of a chessboard.
Masha was very happy with the gift and, therefore, invited her friends Maxim and Denis to show off. The guys decided to make her a treat — they bought her a can of white and a can of black paint, so that if the old board deteriorates, it can be repainted. When they came to Masha, something unpleasant happened: first, Maxim went over the threshold and spilled white paint on the rectangle (x_1,y_1,x_2,y_2). Then after him Denis spilled black paint on the rectangle (x_3,y_3,x_4,y_4).
To spill paint of color color onto a certain rectangle means that all the cells that belong to the given rectangle become color. The cell dyeing is superimposed on each other (if at first some cell is spilled with white paint and then with black one, then its color will be black).
Masha was shocked! She drove away from the guests and decided to find out how spoiled the gift was. For this, she needs to know the number of cells of white and black color. Help her find these numbers!
Input
The first line contains a single integer t (1 ≤ t ≤ 10^3) — the number of test cases.
Each of them is described in the following format:
The first line contains two integers n and m (1 ≤ n,m ≤ 10^9) — the size of the board.
The second line contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1 ≤ x_2 ≤ m, 1 ≤ y_1 ≤ y_2 ≤ n) — the coordinates of the rectangle, the white paint was spilled on.
The third line contains four integers x_3, y_3, x_4, y_4 (1 ≤ x_3 ≤ x_4 ≤ m, 1 ≤ y_3 ≤ y_4 ≤ n) — the coordinates of the rectangle, the black paint was spilled on.
Output
Output t lines, each of which contains two numbers — the number of white and black cells after spilling paint, respectively.
Example
Input
5
2 2
1 1 2 2
1 1 2 2
3 4
2 2 3 2
3 1 4 3
1 5
1 1 5 1
3 1 5 1
4 4
1 1 4 2
1 3 4 4
3 4
1 2 4 2
2 1 3 3
Output
0 4
3 9
2 3
8 8
4 8
Note
Explanation for examples:
The first picture of each illustration shows how the field looked before the dyes were spilled. The second picture of each illustration shows how the field looked after Maxim spoiled white dye (the rectangle on which the dye was spilled is highlighted with red). The third picture in each illustration shows how the field looked after Denis spoiled black dye (the rectangle on which the dye was spilled is highlighted with red).
In the first test, the paint on the field changed as follows:
<image>
In the second test, the paint on the field changed as follows:
<image>
In the third test, the paint on the field changed as follows:
<image>
In the fourth test, the paint on the field changed as follows:
<image>
In the fifth test, the paint on the field changed as follows:
<image> | import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
/**
* Created by timur on 28.03.15.
*/
public class TaskC {
boolean eof;
BufferedReader br;
StringTokenizer st;
PrintWriter out;
public static void main(String[] args) throws IOException {
new TaskC().run();
}
public String nextToken() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (Exception e) {
eof = true;
return "-1";
}
}
return st.nextToken();
}
public int nextInt() {
return Integer.parseInt(nextToken());
}
public long nextLong() {
return Long.parseLong(nextToken());
}
double nextDouble() {
return Double.parseDouble(nextToken());
}
String nextLine() throws IOException {
return br.readLine();
}
void run() throws IOException {
InputStream input = System.in;
PrintStream output = System.out;
try {
File f = new File("a.in");
if (f.exists() && f.canRead()) {
input = new FileInputStream(f);
output = new PrintStream("a.out");
}
} catch (Throwable e) {
}
br = new BufferedReader(new InputStreamReader(input));
out = new PrintWriter(output);
solve();
br.close();
out.close();
}
void solve() {
int t = nextInt();
long n, m, x1, x2, x3, x4, y1, y2, y3, y4, bc, wc, colBC, colWC, bbColCnt, wbColCnt;
long nwc, nbc, ncolBC, ncolWC, nsbColCnt, nnSbColCnt;
long x5, y5, x6, y6, buf;
for (int iter = 0; iter < t; iter++) {
n = nextLong();
m = nextLong();
x1 = nextLong() - 1;
y1 = nextLong() - 1;
x2 = nextLong() - 1;
y2 = nextLong() - 1;
x3 = nextLong() - 1;
y3 = nextLong() - 1;
x4 = nextLong() - 1;
y4 = nextLong() - 1;
bc = 0;
wc = 0;
colBC = n / 2;
colWC = n - n / 2;
bbColCnt = m / 2;
wbColCnt = m - m / 2;
bc = colBC * wbColCnt + colWC * bbColCnt;
wc = colWC * wbColCnt + colBC * bbColCnt;
// wc = n * m - bc;
ncolBC = (y2 + 1) / 2 - y1 / 2;
ncolWC = (y2 + 1 - y1) - ncolBC;
nnSbColCnt = (x2 + 1 - x1) / 2;
nsbColCnt = (x2 + 1 - x1) - nnSbColCnt;
if (x1 % 2 == 1) {
buf = nnSbColCnt;
nnSbColCnt = nsbColCnt;
nsbColCnt = buf;
}
nwc = ncolBC * nsbColCnt + ncolWC * nnSbColCnt;
nbc = 0;
wc = wc + nwc;
bc = bc - nwc;
// nwc = 0;
// nbc = 0;
ncolBC = (y4 + 1) / 2 - y3 / 2;
ncolWC = (y4 + 1 - y3) - ncolBC;
nnSbColCnt = (x4 + 1 - x3) / 2;
nsbColCnt = (x4 + 1 - x3) - nnSbColCnt;
if (x3 % 2 == 1) {
buf = nnSbColCnt;
nnSbColCnt = nsbColCnt;
nsbColCnt = buf;
}
nwc = 0;
nbc = ncolWC * nsbColCnt + ncolBC * nnSbColCnt;
wc = wc - nbc;
bc = bc + nbc;
// nwc = 0;
// nbc = 0;
x5 = Math.max(x1, x3);
y5 = Math.max(y1, y3);
x6 = Math.min(x2, x4);
y6 = Math.min(y2, y4);
if (x5 <= x6 && y5 <= y6) {
//return to black in area
ncolBC = (y6 + 1) / 2 - y5 / 2;
ncolWC = (y6 + 1 - y5) - ncolBC;
nnSbColCnt = (x6 + 1 - x5) / 2;
nsbColCnt = (x6 + 1 - x5) - nnSbColCnt;
if (x5 % 2 == 1) {
buf = nnSbColCnt;
nnSbColCnt = nsbColCnt;
nsbColCnt = buf;
}
nwc = 0;
nbc = ncolBC * nsbColCnt + ncolWC * nnSbColCnt;
wc = wc - nbc;
bc = bc + nbc;
}
out.println(wc + " " + bc);
}
}
} | 4JAVA
| {
"input": [
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n346 903 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 5\n2 2 3 2\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n1 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 5 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n1 234 678 1000\n400 903 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n514 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1001\n514 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n514 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1195 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n258 903 628 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 1 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n6 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 2003\n",
"1\n3456 4567\n1 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n346 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 576 311 1001\n514 1392 1005 2003\n",
"1\n3456 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 1392 1726 2003\n",
"1\n3456 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 202 754 1000\n447 1472 454 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 95 1005 3210\n",
"1\n3456 4567\n2 244 678 1000\n354 1392 1726 2003\n",
"1\n4361 7056\n1 576 449 1001\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 110 754 1000\n447 1472 454 2003\n",
"1\n3456 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 1392 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1005 2003\n",
"1\n3456 4567\n1 010 754 1000\n447 1472 454 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 95 1005 3210\n",
"1\n4361 7056\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2003\n",
"1\n6854 8994\n2 234 678 1000\n514 179 1005 3210\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 2003\n",
"1\n3456 7528\n3 38 311 1101\n514 1392 1450 2478\n",
"1\n4361 7816\n1 576 449 1011\n514 648 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 1005 1801\n",
"1\n4361 7816\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1011\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1111\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 808 1801\n",
"1\n4361 14398\n1 576 449 1110\n514 746 661 1801\n",
"1\n4361 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1801\n",
"1\n7735 14398\n1 576 449 1110\n222 746 661 1048\n",
"1\n5059 4567\n1 234 678 1000\n346 903 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 642 1005 2003\n",
"1\n3456 6293\n1 234 678 1000\n514 903 1005 2003\n",
"1\n3456 4567\n1 234 999 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 393 678 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 488 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 393 1001\n514 1392 1005 2003\n",
"1\n3456 5640\n1 234 678 1000\n346 1472 1005 2003\n",
"1\n3456 4567\n1 234 678 1000\n400 262 628 2003\n",
"1\n3456 4567\n1 234 678 1000\n514 210 1005 2003\n",
"1\n3456 4567\n1 234 678 1010\n183 1392 1005 2003\n",
"1\n3456 7056\n1 234 311 1000\n514 1392 1005 2003\n",
"1\n3456 4567\n1 39 604 1001\n543 1392 1005 2003\n",
"1\n3456 5123\n2 39 311 1001\n623 1392 1005 2003\n",
"1\n3456 4567\n1 166 1195 1000\n346 1472 1005 2003\n",
"5\n2 2\n1 1 2 2\n1 2 2 2\n3 4\n2 2 3 3\n3 1 4 3\n1 5\n1 1 3 1\n3 1 5 1\n4 4\n1 1 4 2\n1 3 4 4\n3 4\n1 2 4 2\n2 1 3 3\n",
"1\n3456 4567\n2 234 205 1000\n514 525 1005 2003\n",
"1\n3456 4567\n1 234 678 1001\n623 1392 1005 2003\n",
"1\n4503 1218\n1 234 678 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 263 120 1001\n514 1392 1005 2003\n",
"1\n3456 8425\n2 39 68 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 754 1000\n620 1472 1005 2003\n",
"1\n3456 4567\n2 234 678 1000\n514 230 1005 1645\n",
"1\n3456 4567\n1 244 719 1000\n623 1392 1005 2003\n",
"1\n4503 4567\n1 234 0100 1101\n514 1392 1005 2003\n",
"1\n3456 7056\n1 506 311 1001\n514 1392 1005 1623\n",
"1\n3456 8425\n2 38 311 1001\n514 1392 1322 2003\n",
"1\n3456 4567\n2 234 678 1000\n290 76 1005 2003\n",
"1\n3456 4567\n2 244 678 1000\n623 940 1005 2003\n",
"1\n4503 4567\n1 34 1100 1101\n514 138 1005 2003\n",
"1\n4375 5144\n2 38 311 1001\n514 1392 1005 2003\n",
"1\n3456 4567\n1 234 1473 1000\n447 1472 454 2003\n"
],
"output": [
"0 4\n3 9\n2 3\n8 8\n4 8\n",
"7772142 8011410\n",
"0 4\n5 10\n2 3\n8 8\n4 8\n",
"7804515 7979037\n",
"7872858 7910694\n",
"8001237 7782315\n",
"8001576 7781976\n",
"7860648 7922904\n",
"7890970 7892582\n",
"8851738 8853350\n",
"7976229 7807323\n",
"0 4\n4 8\n2 3\n8 8\n4 8\n",
"8014504 7769048\n",
"7748685 8034867\n",
"8004627 7778925\n",
"10392401 10172800\n",
"12161640 12223896\n",
"8032050 7751502\n",
"8851257 8853831\n",
"8174499 7609053\n",
"7929375 7854177\n",
"7748301 8035251\n",
"8034591 7748961\n",
"10426301 10138900\n",
"12157130 12228406\n",
"14557113 14559687\n",
"8005375 7778177\n",
"0 4\n4 8\n2 3\n12 12\n4 8\n",
"7651724 8131828\n",
"8031201 7752351\n",
"10609449 9955752\n",
"12119344 12266192\n",
"14557268 14559532\n",
"8151941 7631611\n",
"7613840 8169712\n",
"8030822 7752730\n",
"10719449 9845752\n",
"12108459 12277077\n",
"8887700 8889964\n",
"8178807 7604745\n",
"7618514 8165038\n",
"7810196 7973356\n",
"12137853 12247683\n",
"13007252 13009516\n",
"8190871 7592681\n",
"7321592 8461960\n",
"7727882 8055670\n",
"15330693 15440523\n",
"13006770 13009998\n",
"8225555 7557997\n",
"14971448 16111816\n",
"15332938 15438278\n",
"13022220 12994548\n",
"8263255 7520297\n",
"30252254 31392622\n",
"15149914 15621302\n",
"12886050 13130718\n",
"30272918 31371958\n",
"16807094 17278482\n",
"12663512 13353256\n",
"16856786 17228790\n",
"16880894 17204682\n",
"16984910 17100666\n",
"31336961 31452717\n",
"31359411 31430267\n",
"31359187 31430491\n",
"31436803 31352875\n",
"31241017 31548661\n",
"55530443 55838087\n",
"55703171 55665359\n",
"11432593 11671860\n",
"7689023 8094529\n",
"10855386 10893222\n",
"8124341 7659211\n",
"7947675 7835877\n",
"7928616 7854936\n",
"7930453 7853099\n",
"9830373 9661467\n",
"7867715 7915837\n",
"7647188 8136364\n",
"7903341 7880211\n",
"12161485 12224051\n",
"8040924 7742628\n",
"8884611 8820477\n",
"8215129 7568423\n",
"2 2\n4 8\n2 3\n8 8\n4 8\n",
"7606176 8177376\n",
"8034930 7748622\n",
"2886027 2598627\n",
"12086556 12298980\n",
"14440109 14676691\n",
"8078259 7705293\n",
"7739792 8043760\n",
"8046720 7736832\n",
"10175449 10389752\n",
"12212824 12172712\n",
"14460266 14656534\n",
"7312000 8471552\n",
"7942556 7840996\n",
"10173821 10391380\n",
"11251368 11253632\n",
"8454544 7329008\n"
]
} | 2CODEFORCES
|
10_B. Cinema Cashier_1495 | All cinema halls in Berland are rectangles with K rows of K seats each, and K is an odd number. Rows and seats are numbered from 1 to K. For safety reasons people, who come to the box office to buy tickets, are not allowed to choose seats themselves. Formerly the choice was made by a cashier, but now this is the responsibility of a special seating program. It was found out that the large majority of Berland's inhabitants go to the cinema in order to watch a movie, that's why they want to sit as close to the hall center as possible. Moreover, a company of M people, who come to watch a movie, want necessarily to occupy M successive seats in one row. Let's formulate the algorithm, according to which the program chooses seats and sells tickets. As the request for M seats comes, the program should determine the row number x and the segment [yl, yr] of the seats numbers in this row, where yr - yl + 1 = M. From all such possible variants as a final result the program should choose the one with the minimum function value of total seats remoteness from the center. Say, <image> — the row and the seat numbers of the most "central" seat. Then the function value of seats remoteness from the hall center is <image>. If the amount of minimum function values is more than one, the program should choose the one that is closer to the screen (i.e. the row number x is lower). If the variants are still multiple, it should choose the one with the minimum yl. If you did not get yet, your task is to simulate the work of this program.
Input
The first line contains two integers N and K (1 ≤ N ≤ 1000, 1 ≤ K ≤ 99) — the amount of requests and the hall size respectively. The second line contains N space-separated integers Mi from the range [1, K] — requests to the program.
Output
Output N lines. In the i-th line output «-1» (without quotes), if it is impossible to find Mi successive seats in one row, otherwise output three numbers x, yl, yr. Separate the numbers with a space.
Examples
Input
2 1
1 1
Output
1 1 1
-1
Input
4 3
1 2 3 1
Output
2 2 2
1 1 2
3 1 3
2 1 1 | def updateD(l, k, curI):
d = {}
for m in xrange(1, k+1):
wMin = 1000000
for i in xrange(1, k+2-m):
w = 0
ok = True
for j in xrange(m):
if l[i+j] == 1:
ok = False
break
w += W(curI, k) + W(i+j, k)
if ok and w < wMin:
wMin = w
if wMin != 1000000:
d[m] = wMin
else:
break
return d
I = lambda: [int(x) for x in raw_input().split()]
W = lambda x, k: abs(x-(k+1)//2)
n, k = I()
ms = I()
hall = [[0]*(k+1) for _ in xrange(k+1)]
d = {}
for i in xrange(1, k+1):
d[i] = {}
for j in xrange(1, k+1):
#i = row, j = len
if j%2:
a = (j-1)//2
b = a*(a+1)
else:
a = (j-2)//2
b = a*(a+2) + 1
d[i][j] = W(i, k)*j + b
for m in ms:
wMin = 1000000
IMin = None
for i in range(1, k+1):
if m not in d[i]:
continue
w = d[i][m]
if w < wMin:
wMin = w
IMin = i
if IMin is None:
print(-1)
continue
for i in xrange(1, k+2-m):
w = 0
ok = True
for j in range(m):
if hall[IMin][i+j] == 1:
ok = False
break
w += W(IMin, k) + W(i+j, k)
if ok and w == wMin:
IAnc = i
break
for i in xrange(IAnc, IAnc+m):
hall[IMin][i] = 1
d[IMin] = updateD(hall[IMin], k, IMin)
print("%d %d %d"%(IMin, IAnc, IAnc+m-1))
| 1Python2
| {
"input": [
"4 3\n1 2 3 1\n",
"2 1\n1 1\n",
"2 3\n3 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"1 3\n1\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 23 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"2 5\n3 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 47 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"5 5\n4 1 3 1 1\n",
"100 53\n43 8 14 35 48 10 4 2 38 50 7 25 20 19 33 31 49 51 14 6 34 31 44 40 30 51 41 44 42 33 33 24 33 53 12 20 25 47 16 2 26 5 45 40 21 17 38 37 2 48 16 45 13 11 5 33 38 19 6 2 37 8 45 39 33 15 5 22 14 36 11 23 28 5 46 5 46 35 32 25 26 36 22 42 15 38 41 45 27 53 51 12 16 12 22 10 1 8 20 29\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 46 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 69\n43 49 44 68 20 67 45 53 55 67 68 32 31 6 13 69 18 20 26 5 6 24 46 13 57 8 11 19 27 46 34 32 10 47 28 66 50 49 31 25 54 67 25 27 11 26 41 36 64 55 43 9 65 29 4 45 63 8 45 16 50 58 41 65 1 57 5 56 29 20 49 63 64 28 5 64 64 35 1 27 25 64 42 69 50 41 52 59 31 19 40 50 56 54 63 51 10 49 14 12\n",
"10 13\n12 8 7 11 11 9 2 12 10 1\n",
"1 5\n5\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 10\n",
"3 3\n3 2 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 5\n",
"10 11\n3 11 6 4 4 11 9 2 1 9\n",
"3 5\n2 5 2\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 15 16\n",
"10 15\n15 6 1 9 3 10 11 1 14 10\n",
"10 17\n5 8 13 5 11 12 10 17 16 7\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 27 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 52 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 21 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"10 19\n8 19 17 12 4 5 9 16 7 3\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 8\n",
"3 3\n3 2 2\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 3 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 3\n",
"3 9\n2 5 2\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 1 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"10 15\n15 6 1 9 3 10 3 1 14 10\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 17 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 20 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 1 3 3\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 1 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 19 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 5 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 2 3 3\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"50 21\n8 17 19 2 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 19 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 26 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 20 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 24 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 4 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 1 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 8 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 19 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n"
],
"output": [
"2 2 2\n1 1 2\n3 1 3\n2 1 1\n",
"1 1 1\n-1\n",
"2 1 3\n1 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"2 2 2\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 18 40\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"3 2 4\n2 1 4\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 8 54\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"3 1 4\n2 3 3\n4 2 4\n1 3 3\n2 2 2\n",
"27 6 48\n26 23 30\n28 20 33\n25 10 44\n29 3 50\n24 22 31\n30 25 28\n23 26 27\n31 8 45\n22 2 51\n32 24 30\n21 15 39\n33 17 36\n20 18 36\n34 11 43\n19 12 42\n35 3 51\n18 2 52\n23 28 41\n26 31 36\n36 10 43\n17 12 42\n37 5 48\n16 7 46\n38 12 41\n15 2 52\n39 7 47\n14 5 48\n40 6 47\n13 11 43\n41 11 43\n30 29 52\n12 11 43\n42 1 53\n23 14 25\n26 3 22\n11 15 39\n43 4 50\n30 9 24\n24 32 33\n10 14 39\n28 34 38\n44 5 49\n9 7 46\n24 1 21\n28 3 19\n45 8 45\n8 9 45\n32 22 23\n46 3 50\n32 31 46\n7 5 49\n24 34 46\n26 37 47\n32 17 21\n47 11 43\n6 8 45\n48 18 36\n28 39 44\n32 15 16\n5 9 45\n33 37 44\n49 5 49\n4 8 46\n50 11 43\n20 3 17\n20 37 41\n3 16 37\n33 3 16\n51 9 44\n23 3 13\n2 16 38\n52 13 40\n32 10 14\n1 4 49\n21 10 14\n53 4 49\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n48 3 17\n-1\n-1\n-1\n-1\n-1\n-1\n21 40 51\n48 37 52\n23 42 53\n-1\n20 42 51\n28 45 45\n25 2 9\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 10 55\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"35 14 56\n34 11 59\n36 13 56\n33 1 68\n37 25 44\n32 2 68\n38 13 57\n31 9 61\n39 8 62\n30 2 68\n40 1 68\n29 19 50\n41 20 50\n28 32 37\n42 29 41\n27 1 69\n43 26 43\n26 25 44\n44 22 47\n25 33 37\n45 32 37\n24 23 46\n46 12 57\n23 29 41\n47 7 63\n28 38 45\n22 30 40\n48 26 44\n21 22 48\n49 12 57\n20 18 51\n50 19 50\n28 22 31\n19 12 58\n51 21 48\n18 2 67\n52 10 59\n17 11 59\n53 20 50\n37 45 69\n16 8 61\n54 2 68\n25 8 32\n25 38 64\n37 14 24\n45 38 63\n15 15 55\n55 17 52\n14 3 66\n56 8 62\n13 14 56\n42 20 28\n57 3 67\n45 3 31\n42 42 45\n12 13 57\n58 4 66\n43 44 51\n11 13 57\n28 46 61\n59 10 59\n10 6 63\n60 15 55\n9 3 67\n42 46 46\n61 7 63\n43 21 25\n8 7 62\n22 1 29\n22 41 60\n62 11 59\n7 4 66\n63 3 66\n23 1 28\n23 42 46\n6 3 66\n64 3 66\n5 18 52\n26 45 45\n65 22 48\n48 1 25\n4 3 66\n66 14 55\n3 1 69\n67 10 59\n2 15 55\n68 9 60\n1 6 64\n69 20 50\n42 47 65\n-1\n-1\n-1\n-1\n-1\n-1\n26 15 24\n-1\n26 46 59\n28 10 21\n",
"7 1 12\n6 3 10\n8 4 10\n5 2 12\n9 2 12\n4 3 11\n10 6 7\n3 1 12\n11 2 11\n10 8 8\n",
"3 1 5\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 57\n",
"2 1 3\n1 1 2\n3 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 1 5\n",
"6 5 7\n5 1 11\n7 3 8\n4 4 7\n8 4 7\n3 1 11\n9 2 10\n6 3 4\n6 8 8\n2 2 10\n",
"3 2 3\n2 1 5\n3 4 5\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n33 1 15\n21 1 16\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n11 3 13\n9 7 7\n4 1 14\n12 3 12\n",
"9 7 11\n8 5 12\n10 3 15\n7 7 11\n11 4 14\n6 3 14\n12 4 13\n5 1 17\n13 1 16\n4 6 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 19 45\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n41 8 59\n35 18 32\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n42 20 27\n55 19 48\n42 41 67\n43 1 28\n12 11 57\n26 8 26\n56 1 67\n11 1 67\n57 13 54\n33 49 54\n10 8 60\n39 7 23\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n26 43 55\n7 5 62\n30 10 21\n61 19 49\n23 2 25\n40 45 59\n6 1 67\n29 47 55\n40 5 22\n62 6 61\n28 2 21\n5 17 50\n35 10 17\n28 47 66\n63 19 49\n35 51 63\n29 2 20\n4 13 54\n23 43 54\n22 43 58\n22 10 24\n64 7 60\n3 17 51\n44 48 67\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 16 36\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"10 6 13\n9 1 19\n11 2 18\n8 4 15\n12 8 11\n7 8 12\n13 6 14\n6 2 17\n14 7 13\n10 14 16\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 20\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 55\n",
"2 1 3\n1 1 2\n3 1 2\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 22\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n18 23 24\n-1\n-1\n-1\n-1\n-1\n-1\n9 5 9\n-1\n-1\n9 21 24\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 2 4\n",
"5 4 5\n4 3 7\n5 6 7\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 6 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n11 4 6\n14 1 5\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n9 4 4\n-1\n-1\n-1\n9 18 19\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 24\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n9 5 7\n9 9 9\n11 1 14\n4 3 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n4 7 21\n24 8 20\n3 7 20\n25 5 23\n16 3 9\n16 19 22\n2 3 25\n20 18 27\n12 20 27\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n16 23 24\n-1\n-1\n-1\n18 21 23\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n35 16 32\n41 27 41\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n41 19 26\n55 19 48\n42 1 27\n43 1 28\n12 11 57\n41 42 60\n56 1 67\n11 1 67\n57 13 54\n42 41 46\n10 8 60\n26 10 26\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n33 49 61\n7 5 62\n39 12 23\n61 19 49\n26 43 66\n30 7 21\n6 1 67\n40 45 53\n29 47 64\n62 6 61\n40 3 22\n5 17 50\n35 51 58\n28 2 21\n63 19 49\n28 47 59\n29 2 20\n4 13 54\n23 14 25\n23 43 58\n35 1 15\n64 7 60\n3 17 51\n22 43 62\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 10 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 4 23\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n5 20 26\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 18 48\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 3 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 7 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n14 4 6\n11 2 6\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n14 21 23\n12 22 22\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n18 6 7\n-1\n-1\n-1\n18 21 23\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 9 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 5 8\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n9 14 17\n11 4 6\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n11 2 3\n-1\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 5 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n37 11 29\n46 4 62\n19 2 64\n37 37 49\n33 43 56\n47 10 55\n33 16 22\n18 15 50\n48 23 42\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n31 7 17\n31 49 60\n56 2 63\n9 19 46\n57 1 65\n33 5 15\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 50 64\n2 12 54\n64 9 56\n23 8 20\n34 10 12\n1 9 57\n65 4 61\n23 46 50\n-1\n-1\n-1\n43 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n14 18 22\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n16 1 6\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 2 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n25 38 49\n28 3 15\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n24 40 46\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n26 9 13\n-1\n40 37 52\n-1\n-1\n27 6 12\n12 2 20\n27 44 44\n-1\n12 36 55\n23 11 15\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 20 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n28 5 20\n56 15 49\n7 5 58\n28 44 52\n29 17 19\n57 10 53\n33 3 17\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n27 9 20\n3 20 44\n26 6 19\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n29 3 16\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n14 2 3\n-1\n-1\n-1\n18 5 7\n",
"11 7 14\n10 3 19\n12 2 20\n9 10 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 12 13\n9 8 9\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n9 5 7\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 6 24\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n16 1 7\n8 18 29\n29 7 23\n16 23 27\n-1\n-1\n19 4 9\n-1\n19 21 28\n-1\n8 1 11\n-1\n-1\n15 2 5\n15 25 27\n22 20 26\n-1\n14 4 5\n14 25 29\n17 25 26\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n23 19 25\n-1\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n46 20 45\n19 4 62\n47 2 64\n37 17 29\n37 37 50\n18 10 55\n33 43 49\n48 15 50\n33 3 22\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n33 50 60\n31 6 17\n56 2 63\n9 19 46\n57 1 65\n31 49 59\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 2 16\n2 12 54\n64 9 56\n37 51 63\n34 10 12\n1 9 57\n65 4 61\n23 16 20\n-1\n-1\n-1\n23 46 55\n-1\n-1\n43 46 49\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 3 22\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n6 16 39\n25 38 50\n50 13 42\n5 18 38\n28 13 15\n51 16 40\n4 9 47\n52 7 49\n3 16 40\n53 16 40\n24 4 18\n2 6 49\n54 15 40\n1 8 47\n22 5 18\n55 8 47\n-1\n22 38 44\n-1\n24 40 55\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 2 18\n34 38 51\n-1\n-1\n-1\n-1\n28 8 12\n-1\n40 37 52\n-1\n-1\n26 7 13\n12 2 20\n27 12 12\n-1\n12 36 55\n27 44 48\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 23 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n26 7 22\n56 15 49\n7 5 58\n28 12 20\n28 44 46\n57 10 53\n29 5 19\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n33 6 17\n3 20 44\n27 7 20\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n28 47 60\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n15 22 22\n27 4 24\n-1\n16 1 6\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n15 23 24\n-1\n-1\n-1\n14 1 3\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 49\n-1\n-1\n-1\n24 6 9\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n35 2 20\n31 46 58\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
10_B. Cinema Cashier_1496 | All cinema halls in Berland are rectangles with K rows of K seats each, and K is an odd number. Rows and seats are numbered from 1 to K. For safety reasons people, who come to the box office to buy tickets, are not allowed to choose seats themselves. Formerly the choice was made by a cashier, but now this is the responsibility of a special seating program. It was found out that the large majority of Berland's inhabitants go to the cinema in order to watch a movie, that's why they want to sit as close to the hall center as possible. Moreover, a company of M people, who come to watch a movie, want necessarily to occupy M successive seats in one row. Let's formulate the algorithm, according to which the program chooses seats and sells tickets. As the request for M seats comes, the program should determine the row number x and the segment [yl, yr] of the seats numbers in this row, where yr - yl + 1 = M. From all such possible variants as a final result the program should choose the one with the minimum function value of total seats remoteness from the center. Say, <image> — the row and the seat numbers of the most "central" seat. Then the function value of seats remoteness from the hall center is <image>. If the amount of minimum function values is more than one, the program should choose the one that is closer to the screen (i.e. the row number x is lower). If the variants are still multiple, it should choose the one with the minimum yl. If you did not get yet, your task is to simulate the work of this program.
Input
The first line contains two integers N and K (1 ≤ N ≤ 1000, 1 ≤ K ≤ 99) — the amount of requests and the hall size respectively. The second line contains N space-separated integers Mi from the range [1, K] — requests to the program.
Output
Output N lines. In the i-th line output «-1» (without quotes), if it is impossible to find Mi successive seats in one row, otherwise output three numbers x, yl, yr. Separate the numbers with a space.
Examples
Input
2 1
1 1
Output
1 1 1
-1
Input
4 3
1 2 3 1
Output
2 2 2
1 1 2
3 1 3
2 1 1 | #include <bits/stdc++.h>
using namespace std;
int n, k;
int a[100][100];
int xc, yc;
int lolol(int x, int y) { return abs(x - xc) + abs(y - yc); }
int main() {
cin >> n >> k;
xc = (k + 1) / 2;
yc = (k + 1) / 2;
for (int asdasd = 0; asdasd < n; asdasd++) {
int m;
cin >> m;
int ans = 999999999;
int xx1, yy1;
int p;
for (int i = 1; i <= k; i++) {
p = 0;
int kol = 0;
for (int j = 1; j <= k; j++) {
if (j > m) {
kol -= a[i][j - m];
p -= lolol(i, j - m);
}
kol += a[i][j];
p += lolol(i, j);
if (j >= m && kol == 0 && p < ans) {
ans = p;
xx1 = i;
yy1 = j;
}
}
}
if (ans == 999999999) {
cout << -1 << "\n";
} else {
cout << xx1 << " " << yy1 - m + 1 << " " << yy1 << "\n";
for (int j = yy1 - m + 1; j <= yy1; ++j) a[xx1][j] = 1;
}
}
return 0;
}
| 2C++
| {
"input": [
"4 3\n1 2 3 1\n",
"2 1\n1 1\n",
"2 3\n3 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"1 3\n1\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 23 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"2 5\n3 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 47 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"5 5\n4 1 3 1 1\n",
"100 53\n43 8 14 35 48 10 4 2 38 50 7 25 20 19 33 31 49 51 14 6 34 31 44 40 30 51 41 44 42 33 33 24 33 53 12 20 25 47 16 2 26 5 45 40 21 17 38 37 2 48 16 45 13 11 5 33 38 19 6 2 37 8 45 39 33 15 5 22 14 36 11 23 28 5 46 5 46 35 32 25 26 36 22 42 15 38 41 45 27 53 51 12 16 12 22 10 1 8 20 29\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 46 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 69\n43 49 44 68 20 67 45 53 55 67 68 32 31 6 13 69 18 20 26 5 6 24 46 13 57 8 11 19 27 46 34 32 10 47 28 66 50 49 31 25 54 67 25 27 11 26 41 36 64 55 43 9 65 29 4 45 63 8 45 16 50 58 41 65 1 57 5 56 29 20 49 63 64 28 5 64 64 35 1 27 25 64 42 69 50 41 52 59 31 19 40 50 56 54 63 51 10 49 14 12\n",
"10 13\n12 8 7 11 11 9 2 12 10 1\n",
"1 5\n5\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 10\n",
"3 3\n3 2 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 5\n",
"10 11\n3 11 6 4 4 11 9 2 1 9\n",
"3 5\n2 5 2\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 15 16\n",
"10 15\n15 6 1 9 3 10 11 1 14 10\n",
"10 17\n5 8 13 5 11 12 10 17 16 7\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 27 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 52 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 21 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"10 19\n8 19 17 12 4 5 9 16 7 3\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 8\n",
"3 3\n3 2 2\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 3 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 3\n",
"3 9\n2 5 2\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 1 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"10 15\n15 6 1 9 3 10 3 1 14 10\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 17 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 20 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 1 3 3\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 1 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 19 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 5 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 2 3 3\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"50 21\n8 17 19 2 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 19 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 26 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 20 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 24 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 4 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 1 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 8 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 19 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n"
],
"output": [
"2 2 2\n1 1 2\n3 1 3\n2 1 1\n",
"1 1 1\n-1\n",
"2 1 3\n1 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"2 2 2\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 18 40\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"3 2 4\n2 1 4\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 8 54\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"3 1 4\n2 3 3\n4 2 4\n1 3 3\n2 2 2\n",
"27 6 48\n26 23 30\n28 20 33\n25 10 44\n29 3 50\n24 22 31\n30 25 28\n23 26 27\n31 8 45\n22 2 51\n32 24 30\n21 15 39\n33 17 36\n20 18 36\n34 11 43\n19 12 42\n35 3 51\n18 2 52\n23 28 41\n26 31 36\n36 10 43\n17 12 42\n37 5 48\n16 7 46\n38 12 41\n15 2 52\n39 7 47\n14 5 48\n40 6 47\n13 11 43\n41 11 43\n30 29 52\n12 11 43\n42 1 53\n23 14 25\n26 3 22\n11 15 39\n43 4 50\n30 9 24\n24 32 33\n10 14 39\n28 34 38\n44 5 49\n9 7 46\n24 1 21\n28 3 19\n45 8 45\n8 9 45\n32 22 23\n46 3 50\n32 31 46\n7 5 49\n24 34 46\n26 37 47\n32 17 21\n47 11 43\n6 8 45\n48 18 36\n28 39 44\n32 15 16\n5 9 45\n33 37 44\n49 5 49\n4 8 46\n50 11 43\n20 3 17\n20 37 41\n3 16 37\n33 3 16\n51 9 44\n23 3 13\n2 16 38\n52 13 40\n32 10 14\n1 4 49\n21 10 14\n53 4 49\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n48 3 17\n-1\n-1\n-1\n-1\n-1\n-1\n21 40 51\n48 37 52\n23 42 53\n-1\n20 42 51\n28 45 45\n25 2 9\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 10 55\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"35 14 56\n34 11 59\n36 13 56\n33 1 68\n37 25 44\n32 2 68\n38 13 57\n31 9 61\n39 8 62\n30 2 68\n40 1 68\n29 19 50\n41 20 50\n28 32 37\n42 29 41\n27 1 69\n43 26 43\n26 25 44\n44 22 47\n25 33 37\n45 32 37\n24 23 46\n46 12 57\n23 29 41\n47 7 63\n28 38 45\n22 30 40\n48 26 44\n21 22 48\n49 12 57\n20 18 51\n50 19 50\n28 22 31\n19 12 58\n51 21 48\n18 2 67\n52 10 59\n17 11 59\n53 20 50\n37 45 69\n16 8 61\n54 2 68\n25 8 32\n25 38 64\n37 14 24\n45 38 63\n15 15 55\n55 17 52\n14 3 66\n56 8 62\n13 14 56\n42 20 28\n57 3 67\n45 3 31\n42 42 45\n12 13 57\n58 4 66\n43 44 51\n11 13 57\n28 46 61\n59 10 59\n10 6 63\n60 15 55\n9 3 67\n42 46 46\n61 7 63\n43 21 25\n8 7 62\n22 1 29\n22 41 60\n62 11 59\n7 4 66\n63 3 66\n23 1 28\n23 42 46\n6 3 66\n64 3 66\n5 18 52\n26 45 45\n65 22 48\n48 1 25\n4 3 66\n66 14 55\n3 1 69\n67 10 59\n2 15 55\n68 9 60\n1 6 64\n69 20 50\n42 47 65\n-1\n-1\n-1\n-1\n-1\n-1\n26 15 24\n-1\n26 46 59\n28 10 21\n",
"7 1 12\n6 3 10\n8 4 10\n5 2 12\n9 2 12\n4 3 11\n10 6 7\n3 1 12\n11 2 11\n10 8 8\n",
"3 1 5\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 57\n",
"2 1 3\n1 1 2\n3 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 1 5\n",
"6 5 7\n5 1 11\n7 3 8\n4 4 7\n8 4 7\n3 1 11\n9 2 10\n6 3 4\n6 8 8\n2 2 10\n",
"3 2 3\n2 1 5\n3 4 5\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n33 1 15\n21 1 16\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n11 3 13\n9 7 7\n4 1 14\n12 3 12\n",
"9 7 11\n8 5 12\n10 3 15\n7 7 11\n11 4 14\n6 3 14\n12 4 13\n5 1 17\n13 1 16\n4 6 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 19 45\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n41 8 59\n35 18 32\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n42 20 27\n55 19 48\n42 41 67\n43 1 28\n12 11 57\n26 8 26\n56 1 67\n11 1 67\n57 13 54\n33 49 54\n10 8 60\n39 7 23\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n26 43 55\n7 5 62\n30 10 21\n61 19 49\n23 2 25\n40 45 59\n6 1 67\n29 47 55\n40 5 22\n62 6 61\n28 2 21\n5 17 50\n35 10 17\n28 47 66\n63 19 49\n35 51 63\n29 2 20\n4 13 54\n23 43 54\n22 43 58\n22 10 24\n64 7 60\n3 17 51\n44 48 67\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 16 36\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"10 6 13\n9 1 19\n11 2 18\n8 4 15\n12 8 11\n7 8 12\n13 6 14\n6 2 17\n14 7 13\n10 14 16\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 20\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 55\n",
"2 1 3\n1 1 2\n3 1 2\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 22\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n18 23 24\n-1\n-1\n-1\n-1\n-1\n-1\n9 5 9\n-1\n-1\n9 21 24\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 2 4\n",
"5 4 5\n4 3 7\n5 6 7\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 6 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n11 4 6\n14 1 5\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n9 4 4\n-1\n-1\n-1\n9 18 19\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 24\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n9 5 7\n9 9 9\n11 1 14\n4 3 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n4 7 21\n24 8 20\n3 7 20\n25 5 23\n16 3 9\n16 19 22\n2 3 25\n20 18 27\n12 20 27\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n16 23 24\n-1\n-1\n-1\n18 21 23\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n35 16 32\n41 27 41\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n41 19 26\n55 19 48\n42 1 27\n43 1 28\n12 11 57\n41 42 60\n56 1 67\n11 1 67\n57 13 54\n42 41 46\n10 8 60\n26 10 26\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n33 49 61\n7 5 62\n39 12 23\n61 19 49\n26 43 66\n30 7 21\n6 1 67\n40 45 53\n29 47 64\n62 6 61\n40 3 22\n5 17 50\n35 51 58\n28 2 21\n63 19 49\n28 47 59\n29 2 20\n4 13 54\n23 14 25\n23 43 58\n35 1 15\n64 7 60\n3 17 51\n22 43 62\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 10 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 4 23\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n5 20 26\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 18 48\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 3 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 7 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n14 4 6\n11 2 6\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n14 21 23\n12 22 22\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n18 6 7\n-1\n-1\n-1\n18 21 23\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 9 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 5 8\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n9 14 17\n11 4 6\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n11 2 3\n-1\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 5 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n37 11 29\n46 4 62\n19 2 64\n37 37 49\n33 43 56\n47 10 55\n33 16 22\n18 15 50\n48 23 42\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n31 7 17\n31 49 60\n56 2 63\n9 19 46\n57 1 65\n33 5 15\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 50 64\n2 12 54\n64 9 56\n23 8 20\n34 10 12\n1 9 57\n65 4 61\n23 46 50\n-1\n-1\n-1\n43 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n14 18 22\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n16 1 6\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 2 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n25 38 49\n28 3 15\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n24 40 46\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n26 9 13\n-1\n40 37 52\n-1\n-1\n27 6 12\n12 2 20\n27 44 44\n-1\n12 36 55\n23 11 15\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 20 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n28 5 20\n56 15 49\n7 5 58\n28 44 52\n29 17 19\n57 10 53\n33 3 17\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n27 9 20\n3 20 44\n26 6 19\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n29 3 16\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n14 2 3\n-1\n-1\n-1\n18 5 7\n",
"11 7 14\n10 3 19\n12 2 20\n9 10 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 12 13\n9 8 9\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n9 5 7\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 6 24\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n16 1 7\n8 18 29\n29 7 23\n16 23 27\n-1\n-1\n19 4 9\n-1\n19 21 28\n-1\n8 1 11\n-1\n-1\n15 2 5\n15 25 27\n22 20 26\n-1\n14 4 5\n14 25 29\n17 25 26\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n23 19 25\n-1\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n46 20 45\n19 4 62\n47 2 64\n37 17 29\n37 37 50\n18 10 55\n33 43 49\n48 15 50\n33 3 22\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n33 50 60\n31 6 17\n56 2 63\n9 19 46\n57 1 65\n31 49 59\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 2 16\n2 12 54\n64 9 56\n37 51 63\n34 10 12\n1 9 57\n65 4 61\n23 16 20\n-1\n-1\n-1\n23 46 55\n-1\n-1\n43 46 49\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 3 22\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n6 16 39\n25 38 50\n50 13 42\n5 18 38\n28 13 15\n51 16 40\n4 9 47\n52 7 49\n3 16 40\n53 16 40\n24 4 18\n2 6 49\n54 15 40\n1 8 47\n22 5 18\n55 8 47\n-1\n22 38 44\n-1\n24 40 55\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 2 18\n34 38 51\n-1\n-1\n-1\n-1\n28 8 12\n-1\n40 37 52\n-1\n-1\n26 7 13\n12 2 20\n27 12 12\n-1\n12 36 55\n27 44 48\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 23 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n26 7 22\n56 15 49\n7 5 58\n28 12 20\n28 44 46\n57 10 53\n29 5 19\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n33 6 17\n3 20 44\n27 7 20\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n28 47 60\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n15 22 22\n27 4 24\n-1\n16 1 6\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n15 23 24\n-1\n-1\n-1\n14 1 3\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 49\n-1\n-1\n-1\n24 6 9\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n35 2 20\n31 46 58\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
10_B. Cinema Cashier_1497 | All cinema halls in Berland are rectangles with K rows of K seats each, and K is an odd number. Rows and seats are numbered from 1 to K. For safety reasons people, who come to the box office to buy tickets, are not allowed to choose seats themselves. Formerly the choice was made by a cashier, but now this is the responsibility of a special seating program. It was found out that the large majority of Berland's inhabitants go to the cinema in order to watch a movie, that's why they want to sit as close to the hall center as possible. Moreover, a company of M people, who come to watch a movie, want necessarily to occupy M successive seats in one row. Let's formulate the algorithm, according to which the program chooses seats and sells tickets. As the request for M seats comes, the program should determine the row number x and the segment [yl, yr] of the seats numbers in this row, where yr - yl + 1 = M. From all such possible variants as a final result the program should choose the one with the minimum function value of total seats remoteness from the center. Say, <image> — the row and the seat numbers of the most "central" seat. Then the function value of seats remoteness from the hall center is <image>. If the amount of minimum function values is more than one, the program should choose the one that is closer to the screen (i.e. the row number x is lower). If the variants are still multiple, it should choose the one with the minimum yl. If you did not get yet, your task is to simulate the work of this program.
Input
The first line contains two integers N and K (1 ≤ N ≤ 1000, 1 ≤ K ≤ 99) — the amount of requests and the hall size respectively. The second line contains N space-separated integers Mi from the range [1, K] — requests to the program.
Output
Output N lines. In the i-th line output «-1» (without quotes), if it is impossible to find Mi successive seats in one row, otherwise output three numbers x, yl, yr. Separate the numbers with a space.
Examples
Input
2 1
1 1
Output
1 1 1
-1
Input
4 3
1 2 3 1
Output
2 2 2
1 1 2
3 1 3
2 1 1 | __author__ = 'Darren'
def solve():
n, k = map(int, input().split())
group = map(int, input().split())
available = [[k, 1][:] for _ in range(k+1)]
center = (k + 1) // 2
for m in group:
closest, best_row, best_col = 10000, -1, -1
for row in range(1, k+1):
col = 0
if available[row][0] < m and k - available[row][1] + 1 < m:
continue
if available[row][0] == k:
col = center - m // 2
elif center - available[row][0] <= available[row][1] - center:
col = available[row][0] - m + 1
else:
col = available[row][1]
distance = calc_distance(center, row, col, m)
if distance < closest:
closest = distance
best_row = row
best_col = col
if closest == 10000:
print(-1)
else:
print(best_row, best_col, best_col+m-1)
available[best_row][0] = min(available[best_row][0], best_col-1)
available[best_row][1] = max(available[best_row][1], best_col+m)
def calc_distance(center, row, col, num):
end_col = col + num - 1
distance = abs(center - row) * num
if col >= center:
distance += (col - center) * num + (num - 1) * num // 2
elif end_col <= center:
distance += (center - end_col) * num + (num - 1) * num // 2
else:
distance += ((center - col) * (center - col + 1) // 2 +
(end_col - center) * (end_col - center + 1) // 2)
return distance
if __name__ == '__main__':
solve()
| 3Python3
| {
"input": [
"4 3\n1 2 3 1\n",
"2 1\n1 1\n",
"2 3\n3 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"1 3\n1\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 23 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"2 5\n3 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 47 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"5 5\n4 1 3 1 1\n",
"100 53\n43 8 14 35 48 10 4 2 38 50 7 25 20 19 33 31 49 51 14 6 34 31 44 40 30 51 41 44 42 33 33 24 33 53 12 20 25 47 16 2 26 5 45 40 21 17 38 37 2 48 16 45 13 11 5 33 38 19 6 2 37 8 45 39 33 15 5 22 14 36 11 23 28 5 46 5 46 35 32 25 26 36 22 42 15 38 41 45 27 53 51 12 16 12 22 10 1 8 20 29\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 46 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 69\n43 49 44 68 20 67 45 53 55 67 68 32 31 6 13 69 18 20 26 5 6 24 46 13 57 8 11 19 27 46 34 32 10 47 28 66 50 49 31 25 54 67 25 27 11 26 41 36 64 55 43 9 65 29 4 45 63 8 45 16 50 58 41 65 1 57 5 56 29 20 49 63 64 28 5 64 64 35 1 27 25 64 42 69 50 41 52 59 31 19 40 50 56 54 63 51 10 49 14 12\n",
"10 13\n12 8 7 11 11 9 2 12 10 1\n",
"1 5\n5\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 10\n",
"3 3\n3 2 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 5\n",
"10 11\n3 11 6 4 4 11 9 2 1 9\n",
"3 5\n2 5 2\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 15 16\n",
"10 15\n15 6 1 9 3 10 11 1 14 10\n",
"10 17\n5 8 13 5 11 12 10 17 16 7\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 27 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 52 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 21 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"10 19\n8 19 17 12 4 5 9 16 7 3\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 8\n",
"3 3\n3 2 2\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 3 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 3\n",
"3 9\n2 5 2\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 1 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"10 15\n15 6 1 9 3 10 3 1 14 10\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 17 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 20 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 1 3 3\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 1 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 19 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 5 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 2 3 3\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"50 21\n8 17 19 2 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 19 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 26 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 20 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 24 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 4 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 1 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 8 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 19 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n"
],
"output": [
"2 2 2\n1 1 2\n3 1 3\n2 1 1\n",
"1 1 1\n-1\n",
"2 1 3\n1 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"2 2 2\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 18 40\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"3 2 4\n2 1 4\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 8 54\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"3 1 4\n2 3 3\n4 2 4\n1 3 3\n2 2 2\n",
"27 6 48\n26 23 30\n28 20 33\n25 10 44\n29 3 50\n24 22 31\n30 25 28\n23 26 27\n31 8 45\n22 2 51\n32 24 30\n21 15 39\n33 17 36\n20 18 36\n34 11 43\n19 12 42\n35 3 51\n18 2 52\n23 28 41\n26 31 36\n36 10 43\n17 12 42\n37 5 48\n16 7 46\n38 12 41\n15 2 52\n39 7 47\n14 5 48\n40 6 47\n13 11 43\n41 11 43\n30 29 52\n12 11 43\n42 1 53\n23 14 25\n26 3 22\n11 15 39\n43 4 50\n30 9 24\n24 32 33\n10 14 39\n28 34 38\n44 5 49\n9 7 46\n24 1 21\n28 3 19\n45 8 45\n8 9 45\n32 22 23\n46 3 50\n32 31 46\n7 5 49\n24 34 46\n26 37 47\n32 17 21\n47 11 43\n6 8 45\n48 18 36\n28 39 44\n32 15 16\n5 9 45\n33 37 44\n49 5 49\n4 8 46\n50 11 43\n20 3 17\n20 37 41\n3 16 37\n33 3 16\n51 9 44\n23 3 13\n2 16 38\n52 13 40\n32 10 14\n1 4 49\n21 10 14\n53 4 49\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n48 3 17\n-1\n-1\n-1\n-1\n-1\n-1\n21 40 51\n48 37 52\n23 42 53\n-1\n20 42 51\n28 45 45\n25 2 9\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 10 55\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"35 14 56\n34 11 59\n36 13 56\n33 1 68\n37 25 44\n32 2 68\n38 13 57\n31 9 61\n39 8 62\n30 2 68\n40 1 68\n29 19 50\n41 20 50\n28 32 37\n42 29 41\n27 1 69\n43 26 43\n26 25 44\n44 22 47\n25 33 37\n45 32 37\n24 23 46\n46 12 57\n23 29 41\n47 7 63\n28 38 45\n22 30 40\n48 26 44\n21 22 48\n49 12 57\n20 18 51\n50 19 50\n28 22 31\n19 12 58\n51 21 48\n18 2 67\n52 10 59\n17 11 59\n53 20 50\n37 45 69\n16 8 61\n54 2 68\n25 8 32\n25 38 64\n37 14 24\n45 38 63\n15 15 55\n55 17 52\n14 3 66\n56 8 62\n13 14 56\n42 20 28\n57 3 67\n45 3 31\n42 42 45\n12 13 57\n58 4 66\n43 44 51\n11 13 57\n28 46 61\n59 10 59\n10 6 63\n60 15 55\n9 3 67\n42 46 46\n61 7 63\n43 21 25\n8 7 62\n22 1 29\n22 41 60\n62 11 59\n7 4 66\n63 3 66\n23 1 28\n23 42 46\n6 3 66\n64 3 66\n5 18 52\n26 45 45\n65 22 48\n48 1 25\n4 3 66\n66 14 55\n3 1 69\n67 10 59\n2 15 55\n68 9 60\n1 6 64\n69 20 50\n42 47 65\n-1\n-1\n-1\n-1\n-1\n-1\n26 15 24\n-1\n26 46 59\n28 10 21\n",
"7 1 12\n6 3 10\n8 4 10\n5 2 12\n9 2 12\n4 3 11\n10 6 7\n3 1 12\n11 2 11\n10 8 8\n",
"3 1 5\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 57\n",
"2 1 3\n1 1 2\n3 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 1 5\n",
"6 5 7\n5 1 11\n7 3 8\n4 4 7\n8 4 7\n3 1 11\n9 2 10\n6 3 4\n6 8 8\n2 2 10\n",
"3 2 3\n2 1 5\n3 4 5\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n33 1 15\n21 1 16\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n11 3 13\n9 7 7\n4 1 14\n12 3 12\n",
"9 7 11\n8 5 12\n10 3 15\n7 7 11\n11 4 14\n6 3 14\n12 4 13\n5 1 17\n13 1 16\n4 6 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 19 45\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n41 8 59\n35 18 32\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n42 20 27\n55 19 48\n42 41 67\n43 1 28\n12 11 57\n26 8 26\n56 1 67\n11 1 67\n57 13 54\n33 49 54\n10 8 60\n39 7 23\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n26 43 55\n7 5 62\n30 10 21\n61 19 49\n23 2 25\n40 45 59\n6 1 67\n29 47 55\n40 5 22\n62 6 61\n28 2 21\n5 17 50\n35 10 17\n28 47 66\n63 19 49\n35 51 63\n29 2 20\n4 13 54\n23 43 54\n22 43 58\n22 10 24\n64 7 60\n3 17 51\n44 48 67\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 16 36\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"10 6 13\n9 1 19\n11 2 18\n8 4 15\n12 8 11\n7 8 12\n13 6 14\n6 2 17\n14 7 13\n10 14 16\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 20\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 55\n",
"2 1 3\n1 1 2\n3 1 2\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 22\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n18 23 24\n-1\n-1\n-1\n-1\n-1\n-1\n9 5 9\n-1\n-1\n9 21 24\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 2 4\n",
"5 4 5\n4 3 7\n5 6 7\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 6 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n11 4 6\n14 1 5\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n9 4 4\n-1\n-1\n-1\n9 18 19\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 24\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n9 5 7\n9 9 9\n11 1 14\n4 3 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n4 7 21\n24 8 20\n3 7 20\n25 5 23\n16 3 9\n16 19 22\n2 3 25\n20 18 27\n12 20 27\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n16 23 24\n-1\n-1\n-1\n18 21 23\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n35 16 32\n41 27 41\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n41 19 26\n55 19 48\n42 1 27\n43 1 28\n12 11 57\n41 42 60\n56 1 67\n11 1 67\n57 13 54\n42 41 46\n10 8 60\n26 10 26\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n33 49 61\n7 5 62\n39 12 23\n61 19 49\n26 43 66\n30 7 21\n6 1 67\n40 45 53\n29 47 64\n62 6 61\n40 3 22\n5 17 50\n35 51 58\n28 2 21\n63 19 49\n28 47 59\n29 2 20\n4 13 54\n23 14 25\n23 43 58\n35 1 15\n64 7 60\n3 17 51\n22 43 62\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 10 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 4 23\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n5 20 26\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 18 48\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 3 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 7 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n14 4 6\n11 2 6\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n14 21 23\n12 22 22\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n18 6 7\n-1\n-1\n-1\n18 21 23\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 9 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 5 8\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n9 14 17\n11 4 6\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n11 2 3\n-1\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 5 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n37 11 29\n46 4 62\n19 2 64\n37 37 49\n33 43 56\n47 10 55\n33 16 22\n18 15 50\n48 23 42\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n31 7 17\n31 49 60\n56 2 63\n9 19 46\n57 1 65\n33 5 15\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 50 64\n2 12 54\n64 9 56\n23 8 20\n34 10 12\n1 9 57\n65 4 61\n23 46 50\n-1\n-1\n-1\n43 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n14 18 22\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n16 1 6\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 2 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n25 38 49\n28 3 15\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n24 40 46\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n26 9 13\n-1\n40 37 52\n-1\n-1\n27 6 12\n12 2 20\n27 44 44\n-1\n12 36 55\n23 11 15\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 20 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n28 5 20\n56 15 49\n7 5 58\n28 44 52\n29 17 19\n57 10 53\n33 3 17\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n27 9 20\n3 20 44\n26 6 19\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n29 3 16\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n14 2 3\n-1\n-1\n-1\n18 5 7\n",
"11 7 14\n10 3 19\n12 2 20\n9 10 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 12 13\n9 8 9\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n9 5 7\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 6 24\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n16 1 7\n8 18 29\n29 7 23\n16 23 27\n-1\n-1\n19 4 9\n-1\n19 21 28\n-1\n8 1 11\n-1\n-1\n15 2 5\n15 25 27\n22 20 26\n-1\n14 4 5\n14 25 29\n17 25 26\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n23 19 25\n-1\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n46 20 45\n19 4 62\n47 2 64\n37 17 29\n37 37 50\n18 10 55\n33 43 49\n48 15 50\n33 3 22\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n33 50 60\n31 6 17\n56 2 63\n9 19 46\n57 1 65\n31 49 59\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 2 16\n2 12 54\n64 9 56\n37 51 63\n34 10 12\n1 9 57\n65 4 61\n23 16 20\n-1\n-1\n-1\n23 46 55\n-1\n-1\n43 46 49\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 3 22\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n6 16 39\n25 38 50\n50 13 42\n5 18 38\n28 13 15\n51 16 40\n4 9 47\n52 7 49\n3 16 40\n53 16 40\n24 4 18\n2 6 49\n54 15 40\n1 8 47\n22 5 18\n55 8 47\n-1\n22 38 44\n-1\n24 40 55\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 2 18\n34 38 51\n-1\n-1\n-1\n-1\n28 8 12\n-1\n40 37 52\n-1\n-1\n26 7 13\n12 2 20\n27 12 12\n-1\n12 36 55\n27 44 48\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 23 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n26 7 22\n56 15 49\n7 5 58\n28 12 20\n28 44 46\n57 10 53\n29 5 19\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n33 6 17\n3 20 44\n27 7 20\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n28 47 60\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n15 22 22\n27 4 24\n-1\n16 1 6\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n15 23 24\n-1\n-1\n-1\n14 1 3\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 49\n-1\n-1\n-1\n24 6 9\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n35 2 20\n31 46 58\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
10_B. Cinema Cashier_1498 | All cinema halls in Berland are rectangles with K rows of K seats each, and K is an odd number. Rows and seats are numbered from 1 to K. For safety reasons people, who come to the box office to buy tickets, are not allowed to choose seats themselves. Formerly the choice was made by a cashier, but now this is the responsibility of a special seating program. It was found out that the large majority of Berland's inhabitants go to the cinema in order to watch a movie, that's why they want to sit as close to the hall center as possible. Moreover, a company of M people, who come to watch a movie, want necessarily to occupy M successive seats in one row. Let's formulate the algorithm, according to which the program chooses seats and sells tickets. As the request for M seats comes, the program should determine the row number x and the segment [yl, yr] of the seats numbers in this row, where yr - yl + 1 = M. From all such possible variants as a final result the program should choose the one with the minimum function value of total seats remoteness from the center. Say, <image> — the row and the seat numbers of the most "central" seat. Then the function value of seats remoteness from the hall center is <image>. If the amount of minimum function values is more than one, the program should choose the one that is closer to the screen (i.e. the row number x is lower). If the variants are still multiple, it should choose the one with the minimum yl. If you did not get yet, your task is to simulate the work of this program.
Input
The first line contains two integers N and K (1 ≤ N ≤ 1000, 1 ≤ K ≤ 99) — the amount of requests and the hall size respectively. The second line contains N space-separated integers Mi from the range [1, K] — requests to the program.
Output
Output N lines. In the i-th line output «-1» (without quotes), if it is impossible to find Mi successive seats in one row, otherwise output three numbers x, yl, yr. Separate the numbers with a space.
Examples
Input
2 1
1 1
Output
1 1 1
-1
Input
4 3
1 2 3 1
Output
2 2 2
1 1 2
3 1 3
2 1 1 | import java.io.BufferedReader;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.Reader;
import java.io.StreamTokenizer;
import java.io.Writer;
import java.util.Arrays;
import java.util.Comparator;
import java.util.Iterator;
import java.util.List;
import java.util.Random;
import java.util.Set;
import java.util.TreeSet;
import java.util.Vector;
public class Abra {
public static void main(String[] args) throws IOException {
new Abra().run();
}
static class myLib{
long fact(long x) {
long a = 1;
for (long i = 2; i <= x; i++) {
a *= i;
}
return a;
}
long digitSum(String x) {
long a = 0;
for (int i = 0; i < x.length(); i++) {
a += x.charAt(i) - '0';
}
return a;
}
long digitSum(long x) {
long a = 0;
while (x > 0) {
a += x % 10;
x /= 10;
}
return a;
}
long digitMul(long x) {
long a = 1;
while (x > 0) {
a *= x % 10;
x /= 10;
}
return a;
}
int digitCubesSum(int x) {
int a = 0;
while (x > 0) {
a += (x % 10) * (x % 10) * (x % 10);
x /= 10;
}
return a;
}
double pif(double ax, double ay, double bx, double by) {
return Math.sqrt((ax - bx) * (ax - bx) + (ay - by) * (ay - by));
}
long gcd(long a, long b) {
if (a == 0 || b == 0) return 1;
if (a < b) {
long c = b;
b = a;
a = c;
}
while (a % b != 0) {
a = a % b;
if (a < b) {
long c = b;
b = a;
a = c;
}
}
return b;
}
int gcd(int a, int b) {
if (a == 0 || b == 0) return 1;
if (a < b) {
int c = b;
b = a;
a = c;
}
while (a % b != 0) {
a = a % b;
if (a < b) {
int c = b;
b = a;
a = c;
}
}
return b;
}
long lcm(long a, long b) throws IOException {
return a * b / gcd(a, b);
}
int lcm(int a, int b) throws IOException {
return a * b / gcd(a, b);
}
int countOccurences(String x, String y) {
int a = 0, i = 0;
while (true) {
i = y.indexOf(x);
if (i == -1) break;
a++;
y = y.substring(i + 1);
}
return a;
}
int[] findPrimes(int x) {
boolean[] forErato = new boolean[x - 1];
List<Integer> t = new Vector<Integer>();
int l = 0, j = 0;
for (int i = 2; i < x; i++) {
if (forErato[i - 2]) continue;
t.add(i);
l++;
j = i * 2;
while (j < x) {
forErato[j - 2] = true;
j += i;
}
}
int[] primes = new int[l];
Iterator<Integer> iterator = t.iterator();
for (int i = 0; iterator.hasNext(); i++) {
primes[i] = iterator.next().intValue();
}
return primes;
}
int rev(int x) {
int a = 0;
while (x > 0) {
a = a * 10 + x % 10;
x /= 10;
}
return a;
}
class myDate {
int d, m, y;
int[] ml = { 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 };
public myDate(int da, int ma, int ya) {
d = da;
m = ma;
y = ya;
if ((ma > 12 || ma < 1 || da > ml[ma - 1] || da < 1) && !(d == 29 && m == 2 && y % 4 == 0)) {
d = 1;
m = 1;
y = 9999999;
}
}
void incYear(int x) {
for (int i = 0; i < x; i++) {
y++;
if (m == 2 && d == 29) {
m = 3;
d = 1;
return;
}
if (m == 3 && d == 1) {
if (((y % 4 == 0) && (y % 100 != 0)) || (y % 400 == 0)) {
m = 2;
d = 29;
}
return;
}
}
}
boolean less(myDate x) {
if (y < x.y) return true;
if (y > x.y) return false;
if (m < x.m) return true;
if (m > x.m) return false;
if (d < x.d) return true;
if (d > x.d) return false;
return true;
}
void inc() {
if ((d == 31) && (m == 12)) {
y++;
d = 1;
m = 1;
} else {
if (((y % 4 == 0) && (y % 100 != 0)) || (y % 400 == 0)) {
ml[1] = 29;
}
if (d == ml[m - 1]) {
m++;
d = 1;
} else
d++;
}
}
}
int partition(int n, int l, int m) {// n - sum, l - length, m - every part
// <= m
if (n < l) return 0;
if (n < l + 2) return 1;
if (l == 1) return 1;
int c = 0;
for (int i = Math.min(n - l + 1, m); i >= (n + l - 1) / l; i--) {
c += partition(n - i, l - 1, i);
}
return c;
}
int rifmQuality(String a, String b) {
if (a.length() > b.length()) {
String c = a;
a = b;
b = c;
}
int c = 0, d = b.length() - a.length();
for (int i = a.length() - 1; i >= 0; i--) {
if (a.charAt(i) == b.charAt(i + d)) c++;
else
break;
}
return c;
}
String numSym = "0123456789ABCDEF";
String ZFromXToYNotation(int x, int y, String z) {
if (z.equals("0")) return "0";
String a = "";
long q = 0, t = 1;
for (int i = z.length() - 1; i >= 0; i--) {
q += (z.charAt(i) - 48) * t;
t *= x;
}
while (q > 0) {
a = numSym.charAt((int) (q % y)) + a;
q /= y;
}
return a;
}
double angleFromXY(int x, int y) {
if ((x == 0) && (y > 0)) return Math.PI / 2;
if ((x == 0) && (y < 0)) return -Math.PI / 2;
if ((y == 0) && (x > 0)) return 0;
if ((y == 0) && (x < 0)) return Math.PI;
if (x > 0) return Math.atan((double) y / x);
else {
if (y > 0) return Math.atan((double) y / x) + Math.PI;
else
return Math.atan((double) y / x) - Math.PI;
}
}
static boolean isNumber(String x) {
try {
Integer.parseInt(x);
} catch (NumberFormatException ex) {
return false;
}
return true;
}
static boolean stringContainsOf(String x, String c) {
for (int i = 0; i < x.length(); i++) {
if (c.indexOf(x.charAt(i)) == -1) return false;
}
return true;
}
long pow(long a, long n) { // b > 0
if (n == 0) return 1;
long k = n, b = 1, c = a;
while (k != 0) {
if (k % 2 == 0) {
k /= 2;
c *= c;
} else {
k--;
b *= c;
}
}
return b;
}
int pow(int a, int n) { // b > 0
if (n == 0) return 1;
int k = n, b = 1, c = a;
while (k != 0) {
if (k % 2 == 0) {
k /= 2;
c *= c;
} else {
k--;
b *= c;
}
}
return b;
}
double pow(double a, int n) { // b > 0
if (n == 0) return 1;
double k = n, b = 1, c = a;
while (k != 0) {
if (k % 2 == 0) {
k /= 2;
c *= c;
} else {
k--;
b *= c;
}
}
return b;
}
double log2(double x) {
return Math.log(x) / Math.log(2);
}
int lpd(int[] primes, int x) {// least prime divisor
int i;
for (i = 0; primes[i] <= x / 2; i++) {
if (x % primes[i] == 0) {
return primes[i];
}
}
;
return x;
}
int np(int[] primes, int x) {// number of prime number
for (int i = 0; true; i++) {
if (primes[i] == x) return i;
}
}
int[] dijkstra(int[][] map, int n, int s) {
int[] p = new int[n];
boolean[] b = new boolean[n];
Arrays.fill(p, Integer.MAX_VALUE);
p[s] = 0;
b[s] = true;
for (int i = 0; i < n; i++) {
if (i != s) p[i] = map[s][i];
}
while (true) {
int m = Integer.MAX_VALUE, mi = -1;
for (int i = 0; i < n; i++) {
if (!b[i] && (p[i] < m)) {
mi = i;
m = p[i];
}
}
if (mi == -1) break;
b[mi] = true;
for (int i = 0; i < n; i++)
if (p[mi] + map[mi][i] < p[i]) p[i] = p[mi] + map[mi][i];
}
return p;
}
boolean isLatinChar(char x) {
if (((x >= 'a') && (x <= 'z')) || ((x >= 'A') && (x <= 'Z'))) return true;
else
return false;
}
boolean isBigLatinChar(char x) {
if (x >= 'A' && x <= 'Z') return true;
else
return false;
}
boolean isSmallLatinChar(char x) {
if (x >= 'a' && x <= 'z') return true;
else
return false;
}
boolean isDigitChar(char x) {
if (x >= '0' && x <= '9') return true;
else
return false;
}
class NotANumberException extends Exception {
private static final long serialVersionUID = 1L;
String mistake;
NotANumberException() {
mistake = "Unknown.";
}
NotANumberException(String message) {
mistake = message;
}
}
class Real {
String num = "0";
long exp = 0;
boolean pos = true;
long length() {
return num.length();
}
void check(String x) throws NotANumberException {
if (!stringContainsOf(x, "0123456789+-.eE")) throw new NotANumberException("Illegal character.");
long j = 0;
for (long i = 0; i < x.length(); i++) {
if ((x.charAt((int) i) == '-') || (x.charAt((int) i) == '+')) {
if (j == 0) j = 1;
else
if (j == 5) j = 6;
else
throw new NotANumberException("Unexpected sign.");
} else
if ("0123456789".indexOf(x.charAt((int) i)) != -1) {
if (j == 0) j = 2;
else
if (j == 1) j = 2;
else
if (j == 2)
;
else
if (j == 3) j = 4;
else
if (j == 4)
;
else
if (j == 5) j = 6;
else
if (j == 6)
;
else
throw new NotANumberException("Unexpected digit.");
} else
if (x.charAt((int) i) == '.') {
if (j == 0) j = 3;
else
if (j == 1) j = 3;
else
if (j == 2) j = 3;
else
throw new NotANumberException("Unexpected dot.");
} else
if ((x.charAt((int) i) == 'e') || (x.charAt((int) i) == 'E')) {
if (j == 2) j = 5;
else
if (j == 4) j = 5;
else
throw new NotANumberException("Unexpected exponent.");
} else
throw new NotANumberException("O_o.");
}
if ((j == 0) || (j == 1) || (j == 3) || (j == 5)) throw new NotANumberException("Unexpected end.");
}
public Real(String x) throws NotANumberException {
check(x);
if (x.charAt(0) == '-') pos = false;
long j = 0;
String e = "";
boolean epos = true;
for (long i = 0; i < x.length(); i++) {
if ("0123456789".indexOf(x.charAt((int) i)) != -1) {
if (j == 0) num += x.charAt((int) i);
if (j == 1) {
num += x.charAt((int) i);
exp--;
}
if (j == 2) e += x.charAt((int) i);
}
if (x.charAt((int) i) == '.') {
if (j == 0) j = 1;
}
if ((x.charAt((int) i) == 'e') || (x.charAt((int) i) == 'E')) {
j = 2;
if (x.charAt((int) (i + 1)) == '-') epos = false;
}
}
while ((num.length() > 1) && (num.charAt(0) == '0'))
num = num.substring(1);
while ((num.length() > 1) && (num.charAt(num.length() - 1) == '0')) {
num = num.substring(0, num.length() - 1);
exp++;
}
if (num.equals("0")) {
exp = 0;
pos = true;
return;
}
while ((e.length() > 1) && (e.charAt(0) == '0'))
e = e.substring(1);
try {
if (e != "") if (epos) exp += Long.parseLong(e);
else
exp -= Long.parseLong(e);
} catch (NumberFormatException exc) {
if (!epos) {
num = "0";
exp = 0;
pos = true;
} else {
throw new NotANumberException("Too long exponent");
}
}
}
public Real() {
}
String toString(long mantissa) {
String a = "", b = "";
if (exp >= 0) {
a = num;
if (!pos) a = '-' + a;
for (long i = 0; i < exp; i++)
a += '0';
for (long i = 0; i < mantissa; i++)
b += '0';
if (mantissa == 0) return a;
else
return a + "." + b;
} else {
if (exp + length() <= 0) {
a = "0";
if (mantissa == 0) {
return a;
}
if (mantissa < -(exp + length() - 1)) {
for (long i = 0; i < mantissa; i++)
b += '0';
return a + "." + b;
} else {
if (!pos) a = '-' + a;
for (long i = 0; i < mantissa; i++)
if (i < -(exp + length())) b += '0';
else
if (i + exp >= 0) b += '0';
else
b += num.charAt((int) (i + exp + length()));
return a + "." + b;
}
} else {
if (!pos) a = "-";
for (long i = 0; i < exp + length(); i++)
a += num.charAt((int) i);
if (mantissa == 0) return a;
for (long i = exp + length(); i < exp + length() + mantissa; i++)
if (i < length()) b += num.charAt((int) i);
else
b += '0';
return a + "." + b;
}
}
}
}
boolean containsRepeats(int... num) {
Set<Integer> s = new TreeSet<Integer>();
for (int d : num)
if (!s.contains(d)) s.add(d);
else
return true;
return false;
}
int[] rotateDice(int[] a, int n) {
int[] c = new int[6];
if (n == 0) {
c[0] = a[1];
c[1] = a[5];
c[2] = a[2];
c[3] = a[0];
c[4] = a[4];
c[5] = a[3];
}
if (n == 1) {
c[0] = a[2];
c[1] = a[1];
c[2] = a[5];
c[3] = a[3];
c[4] = a[0];
c[5] = a[4];
}
if (n == 2) {
c[0] = a[3];
c[1] = a[0];
c[2] = a[2];
c[3] = a[5];
c[4] = a[4];
c[5] = a[1];
}
if (n == 3) {
c[0] = a[4];
c[1] = a[1];
c[2] = a[0];
c[3] = a[3];
c[4] = a[5];
c[5] = a[2];
}
if (n == 4) {
c[0] = a[0];
c[1] = a[2];
c[2] = a[3];
c[3] = a[4];
c[4] = a[1];
c[5] = a[5];
}
if (n == 5) {
c[0] = a[0];
c[1] = a[4];
c[2] = a[1];
c[3] = a[2];
c[4] = a[3];
c[5] = a[5];
}
return c;
}
int min(int... a) {
int c = Integer.MAX_VALUE;
for (int d : a)
if (d < c) c = d;
return c;
}
int max(int... a) {
int c = Integer.MIN_VALUE;
for (int d : a)
if (d > c) c = d;
return c;
}
int[] normalizeDice(int[] a) {
int[] c = a.clone();
if (c[0] != 0) if (c[1] == 0) c = rotateDice(c, 0);
else
if (c[2] == 0) c = rotateDice(c, 1);
else
if (c[3] == 0) c = rotateDice(c, 2);
else
if (c[4] == 0) c = rotateDice(c, 3);
else
if (c[5] == 0) c = rotateDice(rotateDice(c, 0), 0);
while (c[1] != min(c[1], c[2], c[3], c[4]))
c = rotateDice(c, 4);
return c;
}
boolean sameDice(int[] a, int[] b) {
for (int i = 0; i < 6; i++)
if (a[i] != b[i]) return false;
return true;
}
final double goldenRatio = (1 + Math.sqrt(5)) / 2;
final double aGoldenRatio = (1 - Math.sqrt(5)) / 2;
long Fib(int n) {
if (n < 0) if (n % 2 == 0) return -Math.round((pow(goldenRatio, -n) - pow(aGoldenRatio, -n)) / Math.sqrt(5));
else
return -Math.round((pow(goldenRatio, -n) - pow(aGoldenRatio, -n)) / Math.sqrt(5));
return Math.round((pow(goldenRatio, n) - pow(aGoldenRatio, n)) / Math.sqrt(5));
}
class japaneeseComparator implements Comparator<String> {
@Override
public int compare(String a, String b) {
int ai = 0, bi = 0;
boolean m = false, ns = false;
if (a.charAt(ai) <= '9' && a.charAt(ai) >= '0') {
if (b.charAt(bi) <= '9' && b.charAt(bi) >= '0') m = true;
else
return -1;
}
if (b.charAt(bi) <= '9' && b.charAt(bi) >= '0') {
if (a.charAt(ai) <= '9' && a.charAt(ai) >= '0') m = true;
else
return 1;
}
a += "!";
b += "!";
int na = 0, nb = 0;
while (true) {
if (a.charAt(ai) == '!') {
if (b.charAt(bi) == '!') break;
return -1;
}
if (b.charAt(bi) == '!') {
return 1;
}
if (m) {
int ab = -1, bb = -1;
while (a.charAt(ai) <= '9' && a.charAt(ai) >= '0') {
if (ab == -1) ab = ai;
ai++;
}
while (b.charAt(bi) <= '9' && b.charAt(bi) >= '0') {
if (bb == -1) bb = bi;
bi++;
}
m = !m;
if (ab == -1) {
if (bb == -1) continue;
else
return 1;
}
if (bb == -1) return -1;
while (a.charAt(ab) == '0' && ab + 1 != ai) {
ab++;
if (!ns) na++;
}
while (b.charAt(bb) == '0' && bb + 1 != bi) {
bb++;
if (!ns) nb++;
}
if (na != nb) ns = true;
if (ai - ab < bi - bb) return -1;
if (ai - ab > bi - bb) return 1;
for (int i = 0; i < ai - ab; i++) {
if (a.charAt(ab + i) < b.charAt(bb + i)) return -1;
if (a.charAt(ab + i) > b.charAt(bb + i)) return 1;
}
} else {
m = !m;
while (true) {
if (a.charAt(ai) <= 'z' && a.charAt(ai) >= 'a' && b.charAt(bi) <= 'z' && b.charAt(bi) >= 'a') {
if (a.charAt(ai) < b.charAt(bi)) return -1;
if (a.charAt(ai) > b.charAt(bi)) return 1;
ai++;
bi++;
} else
if (a.charAt(ai) <= 'z' && a.charAt(ai) >= 'a') return 1;
else
if (b.charAt(bi) <= 'z' && b.charAt(bi) >= 'a') return -1;
else
break;
}
}
}
if (na < nb) return 1;
if (na > nb) return -1;
return 0;
}
}
int mtry(String s, String alph) {
String t = "";
Random r = new Random();
int c = 0, l = alph.length();
for (int i = 0; i < s.length(); i++) {
t += alph.charAt(r.nextInt(l));
c++;
}
while (!t.equals(s)) {
t = t.substring(1);
t += alph.charAt(r.nextInt(l));
c++;
}
return c;
}
void mtest(String s, String alph, int d) {
int n = d, r = 0;
for (int i = 0; i < n; i++) {
r += mtry(s, alph);
}
int re = (int) Math.round((0.0 + r) / n);
//out.println("\"" + s + "\" = " + re + ", Average = " + ((0.0 + r) / n));
/*
* String res = Integer.toString(re); if (!tab.contains(res)) {
* tab.put(res, new Vector<String>()); } tab.get(res).add(s);
*/
}
Random random = new Random();
}
StreamTokenizer in;
PrintWriter out;
boolean oj;
BufferedReader br;
void init() throws IOException {
oj = System.getProperty("ONLINE_JUDGE") != null;
Reader reader = oj ? new InputStreamReader(System.in) : new FileReader("input.txt");
Writer writer = oj ? new OutputStreamWriter(System.out) : new FileWriter("output.txt");
br = new BufferedReader(reader);
in = new StreamTokenizer(br);
out = new PrintWriter(writer);
}
long selectionTime = 0;
void startSelection() {
selectionTime -= System.currentTimeMillis();
}
void stopSelection() {
selectionTime += System.currentTimeMillis();
}
void run() throws IOException {
long beginTime = System.currentTimeMillis();
init();
solve();
long endTime = System.currentTimeMillis();
if (!oj) {
System.out.println("Memory used = " + (Runtime.getRuntime().totalMemory() - Runtime.getRuntime().freeMemory()));
System.out.println("Running time = " + (endTime - beginTime));
System.out.println("Time of the selection = " + selectionTime);
}
out.flush();
}
int nextInt() throws IOException {
in.nextToken();
return (int) in.nval;
}
long nextLong() throws IOException {
in.nextToken();
return (long) in.nval;
}
String nextString() throws IOException {
in.nextToken();
return in.sval;
}
double nextDouble() throws IOException {
in.nextToken();
return in.nval;
}
myLib lib = new myLib();
double sumd(int x, int y, int k, int l) {
double a = 0;
for (int i = 0; i < l; i++) {
a += Math.abs(x + i - k / 2 - 1) + Math.abs(y - k / 2 - 1);
}
return a;
}
void solve() throws IOException {
int n = nextInt(), k = nextInt();
boolean[][] a = new boolean[k + 1][k + 1];
for (int i = 0; i < n; i++) {
int m = nextInt();
double max = Double.MAX_VALUE;
int tx = -1, ty = -1;
for (int y = 1; y <= k; y++) {
for (int x = 1; x <= k - m + 1; x++) {
boolean b = false;
for (int t = 0; t < m; t++) b = b || a[x + t][y];
if (!b) {
double t = sumd(x, y, k, m);
if (t < max) {
max = t;
tx = x;
ty = y;
}
}
}
}
if (tx == -1) {
out.println(-1);
} else {
out.println(ty + " " + tx + " " + (tx + m - 1));
for (int t = 0; t < m; t++) a[tx + t][ty] = true;
}
}
}
} | 4JAVA
| {
"input": [
"4 3\n1 2 3 1\n",
"2 1\n1 1\n",
"2 3\n3 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"1 3\n1\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 23 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"2 5\n3 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 47 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"5 5\n4 1 3 1 1\n",
"100 53\n43 8 14 35 48 10 4 2 38 50 7 25 20 19 33 31 49 51 14 6 34 31 44 40 30 51 41 44 42 33 33 24 33 53 12 20 25 47 16 2 26 5 45 40 21 17 38 37 2 48 16 45 13 11 5 33 38 19 6 2 37 8 45 39 33 15 5 22 14 36 11 23 28 5 46 5 46 35 32 25 26 36 22 42 15 38 41 45 27 53 51 12 16 12 22 10 1 8 20 29\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 46 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n11 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 69\n43 49 44 68 20 67 45 53 55 67 68 32 31 6 13 69 18 20 26 5 6 24 46 13 57 8 11 19 27 46 34 32 10 47 28 66 50 49 31 25 54 67 25 27 11 26 41 36 64 55 43 9 65 29 4 45 63 8 45 16 50 58 41 65 1 57 5 56 29 20 49 63 64 28 5 64 64 35 1 27 25 64 42 69 50 41 52 59 31 19 40 50 56 54 63 51 10 49 14 12\n",
"10 13\n12 8 7 11 11 9 2 12 10 1\n",
"1 5\n5\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 10\n",
"3 3\n3 2 3\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 5\n",
"10 11\n3 11 6 4 4 11 9 2 1 9\n",
"3 5\n2 5 2\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 15 16\n",
"10 15\n15 6 1 9 3 10 11 1 14 10\n",
"10 17\n5 8 13 5 11 12 10 17 16 7\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 27 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 52 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 21 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"10 19\n8 19 17 12 4 5 9 16 7 3\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 6 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 40 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 61 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 18 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"100 59\n48 13 59 51 54 5 35 36 16 25 18 59 9 42 58 1 53 12 19 9 54 5 51 42 45 15 4 35 33 19 36 42 14 46 41 13 7 17 43 43 36 7 24 40 40 1 43 4 42 4 37 51 56 12 5 59 56 21 21 30 54 9 19 30 58 18 7 21 45 32 45 8 12 36 29 52 37 48 27 55 10 28 51 3 33 11 15 49 47 17 22 42 33 14 47 23 42 2 22 8\n",
"3 3\n3 2 2\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 11 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 3 9 13 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"4 5\n5 5 3 3\n",
"3 9\n2 5 2\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 17 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 1 21 21 21 2 12 16 13 5 5 9\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 40 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"10 15\n15 6 1 9 3 10 3 1 14 10\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 26 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 67\n66 12 2 49 62 63 59 14 13 26 15 25 22 16 33 17 15 14 13 33 9 10 53 28 17 27 18 39 35 64 1 59 33 24 66 64 4 2 4 5 22 9 52 36 44 57 62 3 52 21 62 55 25 2 65 18 20 40 8 30 27 28 47 19 67 67 42 6 53 17 36 38 57 37 45 13 58 12 31 24 15 67 9 18 56 20 34 8 20 31 13 19 42 12 16 15 54 35 20 33\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 6 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 6 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 16 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 14 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 9 40 20 8 18 32 40 24 35\n",
"50 27\n12 23 16 12 9 24 3 15 20 23 1 16 17 8 19 17 14 6 22 12 11 16 6 13 15 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 3 13 17 24 3\n",
"100 65\n20 39 12 31 16 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 8 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 1 3 3\n",
"50 25\n19 7 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 9 22 5 17 6 8 24 12 1 13 13 22 6 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 2 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 22 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 6 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 28 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"50 21\n8 17 19 1 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"100 57\n5 19 50 55 18 54 30 56 54 16 44 49 10 47 6 26 5 28 52 28 6 11 1 25 6 43 36 24 48 34 50 46 24 9 35 17 10 28 19 5 32 43 55 25 48 42 15 1 2 26 45 6 22 1 54 17 19 40 32 19 25 10 55 48 14 37 19 42 57 26 23 16 37 43 13 37 37 18 17 16 8 46 28 39 2 11 8 46 33 21 20 9 40 19 12 16 53 53 42 6\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 60 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 19 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 23\n19 20 3 5 5 14 20 18 11 22 9 17 6 13 1 23 21 3 2 3 11 4 16 20 14 22 6 6 19 21 13 10 5 10 21 9 10 9 21 23 6 21 21 17 1 23 15 10 13 20\n",
"4 5\n5 2 3 3\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 15 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 12 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 8 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"50 21\n8 17 19 2 14 17 16 19 2 2 8 5 20 17 6 17 20 4 16 15 16 18 4 3 17 20 17 8 13 10 21 21 6 13 6 13 10 5 12 7 21 21 21 2 12 16 13 5 5 9\n",
"80 29\n19 19 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 65\n20 39 12 31 5 51 58 15 7 37 58 39 39 44 43 55 59 61 13 22 25 13 8 26 3 55 28 45 27 27 26 59 63 13 14 46 7 36 20 9 30 37 63 12 34 59 50 33 65 56 5 17 17 36 31 12 51 45 30 11 12 62 28 65 11 49 49 40 15 19 15 2 41 34 55 57 8 18 39 36 38 49 49 3 15 43 48 13 3 49 58 5 56 41 25 10 64 52 4 54\n",
"50 25\n19 18 3 12 15 2 22 14 4 4 6 15 16 1 23 1 21 12 13 20 22 5 17 6 8 24 12 4 13 13 22 2 4 7 23 20 8 3 5 6 9 3 1 17 22 7 23 25 23 13\n",
"100 55\n9 2 36 28 47 12 54 2 18 34 15 25 19 19 14 27 55 13 41 8 31 31 55 26 49 26 44 15 30 18 3 47 49 16 41 1 5 32 49 51 15 29 43 54 24 30 51 52 34 33 31 51 13 3 24 13 30 21 3 25 39 43 25 25 15 44 26 40 14 40 32 7 39 16 45 26 44 5 35 41 17 14 32 44 30 41 5 35 16 43 25 7 19 1 39 20 5 39 16 16\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 11 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 4 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"50 27\n12 23 16 12 9 24 3 15 13 23 1 16 17 8 5 17 14 6 22 12 11 16 4 13 3 13 14 19 7 4 23 10 8 4 26 12 1 21 14 6 4 6 12 7 18 2 13 17 24 3\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 8 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 19 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n",
"100 63\n37 58 22 61 4 24 39 23 3 7 52 9 39 33 28 58 44 32 26 46 51 10 18 14 2 33 36 48 60 45 23 31 62 39 22 59 53 8 45 63 49 37 50 4 7 32 13 62 24 29 57 40 26 58 29 20 3 8 38 8 30 42 16 35 54 9 3 44 15 39 31 59 56 36 31 12 25 14 48 60 61 36 14 6 38 42 55 34 63 52 7 17 39 32 29 22 36 25 11 6\n",
"80 29\n19 15 15 27 2 25 2 5 29 11 6 4 20 2 27 16 6 6 10 2 5 12 8 23 11 7 11 13 19 29 8 4 9 12 14 22 16 29 7 12 17 5 17 14 6 15 8 25 11 19 14 4 3 7 25 2 5 2 12 12 22 18 14 16 5 19 25 4 21 24 7 11 21 27 10 16 21 17 19 13\n",
"100 51\n49 27 24 32 36 5 25 25 11 42 32 38 17 30 10 49 23 32 12 42 19 44 5 22 30 21 19 18 36 13 48 46 43 39 13 18 41 13 42 3 27 41 21 41 7 26 51 23 14 13 43 6 5 11 32 44 19 5 44 36 29 48 24 22 45 12 24 48 9 7 7 14 29 26 11 30 23 14 37 13 25 20 28 38 22 41 43 46 26 38 44 48 32 49 32 25 50 33 24 4\n",
"100 61\n29 27 54 52 15 7 11 55 3 19 48 52 58 36 41 25 29 20 28 4 57 51 20 16 39 14 15 26 57 2 27 17 39 13 13 50 23 56 5 60 41 9 23 49 34 34 21 41 41 23 24 7 25 36 8 22 9 59 35 58 5 36 49 53 32 11 45 28 10 13 44 52 30 42 41 57 7 7 26 55 17 52 2 6 54 48 58 55 54 53 5 1 40 20 8 18 32 40 24 35\n"
],
"output": [
"2 2 2\n1 1 2\n3 1 3\n2 1 1\n",
"1 1 1\n-1\n",
"2 1 3\n1 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"2 2 2\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 18 40\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"3 2 4\n2 1 4\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 8 54\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"3 1 4\n2 3 3\n4 2 4\n1 3 3\n2 2 2\n",
"27 6 48\n26 23 30\n28 20 33\n25 10 44\n29 3 50\n24 22 31\n30 25 28\n23 26 27\n31 8 45\n22 2 51\n32 24 30\n21 15 39\n33 17 36\n20 18 36\n34 11 43\n19 12 42\n35 3 51\n18 2 52\n23 28 41\n26 31 36\n36 10 43\n17 12 42\n37 5 48\n16 7 46\n38 12 41\n15 2 52\n39 7 47\n14 5 48\n40 6 47\n13 11 43\n41 11 43\n30 29 52\n12 11 43\n42 1 53\n23 14 25\n26 3 22\n11 15 39\n43 4 50\n30 9 24\n24 32 33\n10 14 39\n28 34 38\n44 5 49\n9 7 46\n24 1 21\n28 3 19\n45 8 45\n8 9 45\n32 22 23\n46 3 50\n32 31 46\n7 5 49\n24 34 46\n26 37 47\n32 17 21\n47 11 43\n6 8 45\n48 18 36\n28 39 44\n32 15 16\n5 9 45\n33 37 44\n49 5 49\n4 8 46\n50 11 43\n20 3 17\n20 37 41\n3 16 37\n33 3 16\n51 9 44\n23 3 13\n2 16 38\n52 13 40\n32 10 14\n1 4 49\n21 10 14\n53 4 49\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n48 3 17\n-1\n-1\n-1\n-1\n-1\n-1\n21 40 51\n48 37 52\n23 42 53\n-1\n20 42 51\n28 45 45\n25 2 9\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 10 55\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 7 17\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n12 1 6\n12 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 2 7\n-1\n-1\n-1\n10 18 18\n-1\n-1\n-1\n-1\n-1\n",
"35 14 56\n34 11 59\n36 13 56\n33 1 68\n37 25 44\n32 2 68\n38 13 57\n31 9 61\n39 8 62\n30 2 68\n40 1 68\n29 19 50\n41 20 50\n28 32 37\n42 29 41\n27 1 69\n43 26 43\n26 25 44\n44 22 47\n25 33 37\n45 32 37\n24 23 46\n46 12 57\n23 29 41\n47 7 63\n28 38 45\n22 30 40\n48 26 44\n21 22 48\n49 12 57\n20 18 51\n50 19 50\n28 22 31\n19 12 58\n51 21 48\n18 2 67\n52 10 59\n17 11 59\n53 20 50\n37 45 69\n16 8 61\n54 2 68\n25 8 32\n25 38 64\n37 14 24\n45 38 63\n15 15 55\n55 17 52\n14 3 66\n56 8 62\n13 14 56\n42 20 28\n57 3 67\n45 3 31\n42 42 45\n12 13 57\n58 4 66\n43 44 51\n11 13 57\n28 46 61\n59 10 59\n10 6 63\n60 15 55\n9 3 67\n42 46 46\n61 7 63\n43 21 25\n8 7 62\n22 1 29\n22 41 60\n62 11 59\n7 4 66\n63 3 66\n23 1 28\n23 42 46\n6 3 66\n64 3 66\n5 18 52\n26 45 45\n65 22 48\n48 1 25\n4 3 66\n66 14 55\n3 1 69\n67 10 59\n2 15 55\n68 9 60\n1 6 64\n69 20 50\n42 47 65\n-1\n-1\n-1\n-1\n-1\n-1\n26 15 24\n-1\n26 46 59\n28 10 21\n",
"7 1 12\n6 3 10\n8 4 10\n5 2 12\n9 2 12\n4 3 11\n10 6 7\n3 1 12\n11 2 11\n10 8 8\n",
"3 1 5\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 57\n",
"2 1 3\n1 1 2\n3 1 3\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 1 5\n",
"6 5 7\n5 1 11\n7 3 8\n4 4 7\n8 4 7\n3 1 11\n9 2 10\n6 3 4\n6 8 8\n2 2 10\n",
"3 2 3\n2 1 5\n3 4 5\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n10 6 10\n21 5 21\n14 2 7\n17 16 23\n4 1 24\n22 7 18\n14 19 20\n3 7 19\n23 7 19\n2 2 23\n11 19 24\n17 6 9\n24 10 16\n1 2 24\n25 3 22\n24 2 9\n11 4 6\n14 21 25\n9 20 25\n24 17 25\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n33 1 15\n21 1 16\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n11 3 13\n9 7 7\n4 1 14\n12 3 12\n",
"9 7 11\n8 5 12\n10 3 15\n7 7 11\n11 4 14\n6 3 14\n12 4 13\n5 1 17\n13 1 16\n4 6 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 19 45\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 4 5\n-1\n-1\n-1\n16 3 5\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n41 8 59\n35 18 32\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n42 20 27\n55 19 48\n42 41 67\n43 1 28\n12 11 57\n26 8 26\n56 1 67\n11 1 67\n57 13 54\n33 49 54\n10 8 60\n39 7 23\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n26 43 55\n7 5 62\n30 10 21\n61 19 49\n23 2 25\n40 45 59\n6 1 67\n29 47 55\n40 5 22\n62 6 61\n28 2 21\n5 17 50\n35 10 17\n28 47 66\n63 19 49\n35 51 63\n29 2 20\n4 13 54\n23 43 54\n22 43 58\n22 10 24\n64 7 60\n3 17 51\n44 48 67\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 16 36\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"10 6 13\n9 1 19\n11 2 18\n8 4 15\n12 8 11\n7 8 12\n13 6 14\n6 2 17\n14 7 13\n10 14 16\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 23\n10 3 11\n27 9 20\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n9 8 9\n-1\n-1\n-1\n-1\n-1\n-1\n9 21 25\n-1\n-1\n18 3 6\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 14 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n18 32 32\n9 2 55\n24 4 20\n18 7 25\n49 9 48\n8 13 44\n18 33 51\n50 17 41\n24 39 48\n7 2 56\n51 5 52\n19 10 23\n6 11 47\n19 35 48\n52 8 49\n5 1 57\n53 16 41\n4 18 40\n22 42 57\n54 11 47\n3 8 50\n28 44 56\n55 11 47\n2 11 47\n56 20 37\n41 41 57\n36 42 57\n31 6 13\n1 6 51\n57 15 42\n-1\n32 44 45\n32 3 13\n29 3 10\n-1\n-1\n-1\n56 38 57\n29 48 56\n-1\n56 1 19\n32 46 57\n39 1 16\n-1\n-1\n-1\n22 10 15\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 11 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n18 1 7\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 3 63\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 3 20\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"30 6 53\n29 24 36\n31 1 59\n28 5 55\n32 3 56\n27 28 32\n33 13 47\n26 12 47\n34 22 37\n25 18 42\n35 21 38\n24 1 59\n36 26 34\n23 9 50\n37 1 58\n27 27 27\n22 4 56\n38 24 35\n21 21 39\n27 33 41\n39 3 56\n27 22 26\n20 5 55\n40 9 50\n19 8 52\n41 23 37\n29 20 23\n18 13 47\n42 14 46\n29 37 55\n17 12 47\n43 9 50\n16 23 36\n44 7 52\n15 10 50\n36 13 25\n36 35 41\n45 22 38\n14 9 51\n46 9 51\n13 12 47\n27 15 21\n47 18 41\n12 10 49\n48 10 49\n29 19 19\n11 9 51\n34 38 41\n49 9 50\n29 15 18\n10 12 48\n50 5 55\n9 2 57\n34 10 21\n35 39 43\n51 1 59\n8 2 57\n38 36 56\n38 3 23\n52 15 44\n7 3 56\n27 42 50\n35 2 20\n53 15 44\n6 1 58\n34 42 59\n29 8 14\n41 2 22\n54 8 52\n5 14 45\n55 8 52\n25 10 17\n25 43 54\n4 12 47\n56 16 44\n3 4 55\n57 12 48\n2 6 53\n58 17 43\n1 3 57\n36 42 51\n59 16 43\n-1\n21 18 20\n-1\n21 40 50\n35 44 58\n-1\n-1\n41 38 54\n16 37 58\n-1\n-1\n27 1 14\n-1\n-1\n-1\n33 11 12\n16 1 22\n33 48 55\n",
"2 1 3\n1 1 2\n3 1 2\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n9 10 20\n21 2 28\n8 7 22\n17 18 23\n18 7 12\n22 10 19\n18 18 19\n7 13 17\n23 9 20\n6 11 18\n24 4 26\n5 10 20\n10 18 24\n25 10 20\n4 9 21\n26 6 24\n3 1 29\n17 2 9\n18 20 22\n10 3 11\n27 9 21\n2 8 21\n28 4 25\n1 7 22\n29 1 29\n14 1 7\n7 1 12\n-1\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n7 18 28\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 24 28\n18 23 24\n-1\n-1\n-1\n-1\n-1\n-1\n9 5 9\n-1\n-1\n9 21 24\n-1\n-1\n22 20 26\n6 19 29\n-1\n-1\n6 1 10\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 1 5\n4 2 4\n1 2 4\n",
"5 4 5\n4 3 7\n5 6 7\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 6 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n11 4 6\n14 1 5\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 3 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n9 4 4\n-1\n-1\n-1\n9 18 19\n-1\n-1\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 24\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 8 47\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"8 1 15\n7 5 10\n9 8 8\n6 4 12\n10 7 9\n5 3 12\n9 5 7\n9 9 9\n11 1 14\n4 3 12\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n4 7 21\n24 8 20\n3 7 20\n25 5 23\n16 3 9\n16 19 22\n2 3 25\n20 18 27\n12 20 27\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n16 23 24\n-1\n-1\n-1\n18 21 23\n",
"34 1 66\n33 28 39\n35 33 34\n32 10 58\n36 3 64\n31 3 65\n37 5 63\n30 27 40\n38 28 40\n29 21 46\n39 27 41\n28 22 46\n40 23 44\n35 35 50\n27 18 50\n35 16 32\n41 27 41\n26 27 40\n42 28 40\n25 18 50\n33 40 48\n43 29 38\n24 8 60\n44 20 47\n23 26 42\n45 21 47\n22 25 42\n46 15 53\n21 17 51\n47 2 65\n33 27 27\n20 5 63\n48 18 50\n33 3 26\n19 1 66\n49 2 65\n30 41 44\n38 26 27\n38 41 44\n30 22 26\n18 23 44\n38 17 25\n50 8 59\n17 16 51\n51 12 55\n16 6 62\n52 3 64\n39 24 26\n15 8 59\n39 42 62\n53 3 64\n14 7 61\n43 39 63\n26 41 42\n54 2 66\n30 45 62\n38 45 64\n13 14 53\n41 19 26\n55 19 48\n42 1 27\n43 1 28\n12 11 57\n41 42 60\n56 1 67\n11 1 67\n57 13 54\n42 41 46\n10 8 60\n26 10 26\n58 16 51\n9 15 52\n59 6 62\n8 16 52\n60 12 56\n33 49 61\n7 5 62\n39 12 23\n61 19 49\n26 43 66\n30 7 21\n6 1 67\n40 45 53\n29 47 64\n62 6 61\n40 3 22\n5 17 50\n35 51 58\n28 2 21\n63 19 49\n28 47 59\n29 2 20\n4 13 54\n23 14 25\n23 43 58\n35 1 15\n64 7 60\n3 17 51\n22 43 62\n65 18 50\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 40\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 5 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n15 15 17\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 1 6\n-1\n5 2 7\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 10 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 10 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 4 23\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n7 5 23\n21 6 22\n6 7 20\n17 16 21\n22 3 24\n5 8 19\n17 1 11\n23 6 21\n14 20 25\n4 8 20\n24 7 21\n3 8 20\n25 7 20\n2 5 23\n14 1 7\n16 6 9\n26 3 25\n20 18 27\n16 19 26\n12 20 23\n1 1 26\n27 8 19\n20 2 9\n-1\n-1\n12 2 7\n15 22 25\n17 22 27\n-1\n5 20 26\n-1\n15 3 5\n-1\n-1\n-1\n16 3 5\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 25 40\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n42 27 39\n23 22 43\n43 21 45\n34 39 51\n34 19 26\n22 20 45\n37 27 29\n44 6 60\n21 19 46\n45 11 55\n20 20 46\n46 20 46\n37 37 55\n19 4 62\n47 2 64\n33 43 55\n35 41 54\n18 10 55\n33 16 22\n48 15 50\n35 5 24\n37 18 26\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 2 18\n42 10 26\n53 15 50\n12 18 48\n42 40 51\n54 8 58\n11 11 55\n55 18 47\n29 46 56\n31 6 17\n10 2 63\n56 19 46\n9 1 65\n31 49 59\n57 9 57\n8 9 57\n58 13 52\n33 1 15\n23 44 62\n37 3 17\n34 52 53\n7 13 53\n59 16 49\n6 6 60\n60 5 61\n32 6 13\n23 4 21\n5 14 52\n61 15 50\n4 14 51\n62 9 57\n3 9 57\n32 53 55\n43 6 20\n63 12 54\n2 9 56\n43 46 58\n34 54 56\n64 9 57\n1 4 61\n33 56 60\n65 5 60\n-1\n-1\n22 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n14 18 23\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 3 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 10 16\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n10 15 23\n5 2 23\n12 5 9\n21 5 21\n12 17 22\n10 3 10\n4 1 24\n22 7 18\n14 7 7\n3 7 19\n23 7 19\n2 2 23\n14 19 24\n17 16 19\n11 19 25\n24 2 24\n1 3 22\n17 2 9\n14 4 6\n11 2 6\n9 20 25\n25 9 17\n12 2 4\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 6 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 1 5\n10 20 25\n-1\n14 21 23\n12 22 22\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n21 17 38\n35 15 41\n20 1 55\n27 14 26\n36 8 48\n27 31 38\n19 13 43\n37 13 43\n18 1 55\n38 15 40\n17 4 52\n39 15 40\n16 6 49\n28 9 23\n40 13 42\n28 33 50\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n27 39 43\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 8 20\n23 36 38\n24 37 48\n25 38 50\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n23 39 45\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n27 9 13\n-1\n21 39 54\n-1\n-1\n26 7 13\n12 2 20\n27 44 44\n-1\n12 36 55\n27 45 49\n-1\n21 1 16\n10 40 55\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 2 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n18 6 7\n-1\n-1\n-1\n18 21 23\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"11 7 14\n10 3 19\n12 2 20\n9 11 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 9 10\n9 12 13\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 5 8\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n9 14 17\n11 4 6\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n11 2 3\n-1\n-1\n-1\n-1\n-1\n-1\n",
"29 27 31\n28 20 38\n30 4 53\n27 2 56\n31 20 37\n26 2 55\n32 14 43\n25 1 56\n33 2 55\n24 21 36\n34 7 50\n23 5 53\n29 17 26\n35 6 52\n29 32 37\n22 16 41\n36 27 31\n21 15 42\n37 3 54\n20 15 42\n38 26 31\n19 24 34\n29 38 38\n39 17 41\n18 26 31\n40 8 50\n17 11 46\n41 17 40\n16 5 52\n42 12 45\n15 4 53\n43 6 51\n14 17 40\n29 39 47\n44 12 46\n36 10 26\n36 32 41\n13 15 42\n28 1 19\n28 39 43\n45 13 44\n12 8 50\n46 2 56\n38 32 56\n11 5 52\n47 8 49\n31 38 52\n31 19 19\n24 37 38\n10 16 41\n48 7 51\n29 11 16\n38 4 25\n31 18 18\n9 2 55\n18 32 48\n24 2 20\n49 9 48\n8 13 44\n18 7 25\n50 17 41\n31 8 17\n7 2 56\n51 5 52\n24 39 52\n6 11 47\n19 5 23\n52 8 49\n5 1 57\n53 16 41\n19 35 57\n22 42 57\n4 11 47\n54 8 50\n28 44 56\n3 11 47\n55 11 47\n2 20 37\n56 21 37\n36 42 57\n32 44 51\n1 6 51\n57 15 42\n-1\n29 9 10\n32 3 13\n29 48 55\n-1\n-1\n-1\n2 38 57\n22 7 15\n-1\n56 2 20\n21 43 54\n39 1 16\n-1\n-1\n-1\n29 3 8\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n37 11 29\n46 4 62\n19 2 64\n37 37 49\n33 43 56\n47 10 55\n33 16 22\n18 15 50\n48 23 42\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n31 7 17\n31 49 60\n56 2 63\n9 19 46\n57 1 65\n33 5 15\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 50 64\n2 12 54\n64 9 56\n23 8 20\n34 10 12\n1 9 57\n65 4 61\n23 46 50\n-1\n-1\n-1\n43 46 55\n-1\n-1\n28 11 14\n-1\n",
"12 3 21\n11 2 21\n13 11 13\n10 10 14\n14 10 14\n9 5 18\n15 2 21\n8 3 20\n16 7 17\n7 1 22\n13 2 10\n17 4 20\n13 14 19\n6 6 18\n10 9 9\n18 1 23\n5 2 22\n10 15 17\n14 8 9\n14 15 17\n19 7 17\n10 5 8\n4 4 19\n20 2 21\n3 5 18\n21 1 22\n14 2 7\n10 18 23\n2 3 21\n22 2 22\n1 6 18\n23 7 16\n14 18 22\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n16 1 6\n-1\n-1\n-1\n13 20 20\n-1\n-1\n-1\n-1\n-1\n",
"3 1 5\n2 2 3\n4 2 4\n1 2 4\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 6 20\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n25 38 49\n28 3 15\n6 13 42\n50 18 38\n24 16 18\n5 16 40\n51 9 47\n4 7 49\n52 16 40\n3 16 40\n22 4 18\n53 6 49\n2 15 40\n54 8 47\n22 38 51\n1 8 47\n55 12 43\n24 40 46\n-1\n34 3 18\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 38 54\n24 2 15\n-1\n-1\n-1\n-1\n26 9 13\n-1\n40 37 52\n-1\n-1\n27 6 12\n12 2 20\n27 44 44\n-1\n12 36 55\n23 11 15\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 20 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n28 5 20\n56 15 49\n7 5 58\n28 44 52\n29 17 19\n57 10 53\n33 3 17\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n27 9 20\n3 20 44\n26 6 19\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n29 3 16\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n20 2 9\n27 4 24\n-1\n15 22 27\n15 2 5\n16 1 6\n-1\n17 21 27\n-1\n14 2 3\n-1\n-1\n-1\n18 5 7\n",
"11 7 14\n10 3 19\n12 2 20\n9 10 11\n13 4 17\n8 3 19\n14 3 18\n7 2 20\n9 12 13\n9 8 9\n15 7 14\n11 15 19\n6 1 20\n16 3 19\n5 8 13\n17 3 19\n4 1 20\n9 14 17\n18 3 18\n3 4 18\n19 3 18\n2 2 19\n11 3 6\n9 5 7\n20 3 19\n1 1 20\n21 3 19\n5 14 21\n-1\n-1\n-1\n-1\n15 15 20\n-1\n15 1 6\n-1\n-1\n5 3 7\n-1\n-1\n-1\n-1\n-1\n9 3 4\n-1\n-1\n-1\n-1\n-1\n-1\n",
"15 6 24\n14 6 24\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n16 1 7\n8 18 29\n29 7 23\n16 23 27\n-1\n-1\n19 4 9\n-1\n19 21 28\n-1\n8 1 11\n-1\n-1\n15 2 5\n15 25 27\n22 20 26\n-1\n14 4 5\n14 25 29\n17 25 26\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n23 19 25\n-1\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"33 23 42\n32 14 52\n34 27 38\n31 18 48\n35 31 35\n30 8 58\n36 4 61\n29 26 40\n37 30 36\n28 15 51\n38 4 61\n27 14 52\n39 14 52\n26 11 54\n40 12 54\n25 6 60\n41 4 62\n24 3 63\n35 18 30\n42 22 43\n23 21 45\n35 36 48\n34 39 46\n43 20 45\n34 24 26\n22 6 60\n44 19 46\n21 11 55\n45 20 46\n20 20 46\n46 20 45\n19 4 62\n47 2 64\n37 17 29\n37 37 50\n18 10 55\n33 43 49\n48 15 50\n33 3 22\n34 15 23\n17 18 47\n49 15 51\n16 2 64\n29 14 25\n50 16 49\n15 4 62\n51 8 57\n14 17 49\n52 1 65\n13 5 60\n29 41 45\n34 47 63\n53 25 41\n12 15 50\n54 18 48\n29 46 57\n11 8 58\n55 11 55\n10 18 47\n33 50 60\n31 6 17\n56 2 63\n9 19 46\n57 1 65\n31 49 59\n8 9 57\n58 9 57\n7 13 52\n35 3 17\n42 44 62\n35 49 63\n34 13 14\n59 13 53\n6 16 49\n60 6 60\n5 5 61\n32 6 13\n42 4 21\n61 14 52\n4 15 50\n62 14 51\n3 9 57\n63 9 57\n32 53 55\n37 2 16\n2 12 54\n64 9 56\n37 51 63\n34 10 12\n1 9 57\n65 4 61\n23 16 20\n-1\n-1\n-1\n23 46 55\n-1\n-1\n43 46 49\n-1\n",
"13 4 22\n12 4 21\n14 12 14\n11 7 18\n15 6 20\n10 12 13\n16 2 23\n9 6 19\n14 8 11\n14 15 18\n17 10 15\n8 6 20\n18 5 20\n10 14 14\n7 2 24\n10 11 11\n19 3 23\n6 7 18\n20 7 19\n5 3 22\n21 2 23\n10 15 19\n4 5 21\n10 5 10\n17 16 23\n22 1 24\n3 7 18\n14 4 7\n23 7 19\n2 7 19\n24 2 23\n14 19 20\n11 19 22\n17 3 9\n1 2 24\n25 3 22\n-1\n11 4 6\n14 21 25\n10 20 25\n-1\n12 22 24\n13 3 3\n-1\n-1\n6 19 25\n-1\n-1\n-1\n-1\n",
"28 24 32\n27 27 28\n29 10 45\n26 14 41\n30 5 51\n25 22 33\n31 1 54\n27 29 30\n24 19 36\n32 11 44\n23 21 35\n33 16 40\n22 19 37\n34 19 37\n27 13 26\n21 15 41\n35 1 55\n27 31 43\n20 8 48\n28 16 23\n36 13 43\n19 13 43\n37 1 55\n18 15 40\n38 4 52\n17 15 40\n39 6 49\n28 33 47\n16 13 42\n40 19 36\n25 34 36\n15 5 51\n41 4 52\n25 6 21\n14 8 48\n25 37 37\n23 16 20\n42 12 43\n13 4 52\n43 3 53\n12 21 35\n44 14 42\n11 7 49\n45 1 54\n10 16 39\n46 13 42\n9 3 53\n47 2 53\n8 11 44\n48 12 44\n7 13 43\n49 3 53\n23 36 48\n24 37 39\n6 16 39\n25 38 50\n50 13 42\n5 18 38\n28 13 15\n51 16 40\n4 9 47\n52 7 49\n3 16 40\n53 16 40\n24 4 18\n2 6 49\n54 15 40\n1 8 47\n22 5 18\n55 8 47\n-1\n22 38 44\n-1\n24 40 55\n-1\n-1\n-1\n26 42 46\n-1\n-1\n34 2 18\n34 38 51\n-1\n-1\n-1\n-1\n28 8 12\n-1\n40 37 52\n-1\n-1\n26 7 13\n12 2 20\n27 12 12\n-1\n12 36 55\n27 44 48\n-1\n40 3 18\n10 40 55\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n26 27 37\n38 13 51\n25 16 48\n39 18 45\n24 3 60\n40 10 53\n23 16 47\n41 19 44\n22 9 54\n42 7 57\n34 34 43\n34 12 29\n36 17 30\n36 34 35\n21 16 48\n43 14 49\n20 8 55\n44 2 61\n19 10 54\n45 21 43\n18 17 47\n46 1 62\n17 13 51\n36 36 57\n47 3 61\n16 6 58\n27 21 28\n48 10 54\n15 1 63\n49 8 56\n14 14 50\n50 7 56\n27 36 39\n26 23 26\n13 16 47\n26 38 50\n51 1 62\n27 40 63\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n33 43 62\n33 18 20\n34 44 51\n9 13 50\n29 44 51\n55 17 46\n8 11 52\n26 7 22\n56 15 49\n7 5 58\n28 12 20\n28 44 46\n57 10 53\n29 5 19\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n33 6 17\n3 20 44\n27 7 20\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n28 47 60\n32 8 13\n63 13 50\n-1\n-1\n-1\n-1\n-1\n32 51 57\n39 46 62\n-1\n-1\n-1\n-1\n-1\n-1\n36 6 16\n34 52 57\n",
"14 8 19\n13 3 25\n15 6 21\n12 8 19\n16 10 18\n11 2 25\n17 13 15\n10 7 21\n18 8 20\n9 3 25\n17 12 12\n19 6 21\n8 6 22\n20 10 17\n17 16 20\n7 6 22\n21 7 20\n14 20 25\n6 3 24\n22 8 19\n17 1 11\n5 6 21\n14 4 7\n23 8 20\n16 7 9\n4 8 20\n24 7 20\n3 5 23\n16 19 25\n12 20 23\n25 3 25\n2 9 18\n20 18 25\n12 4 7\n26 1 26\n1 8 19\n15 22 22\n27 4 24\n-1\n16 1 6\n15 2 5\n17 21 26\n-1\n18 1 7\n-1\n15 23 24\n-1\n-1\n-1\n14 1 3\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 49\n-1\n-1\n-1\n24 6 9\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n35 2 20\n31 46 58\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n",
"32 14 50\n31 3 60\n33 21 42\n30 2 62\n34 30 33\n29 20 43\n35 13 51\n28 21 43\n36 31 33\n27 29 35\n37 6 57\n34 34 42\n26 13 51\n38 16 48\n25 18 45\n39 3 60\n24 10 53\n40 16 47\n23 19 44\n41 9 54\n22 7 57\n34 20 29\n36 13 30\n36 34 47\n27 27 28\n42 16 48\n21 14 49\n43 8 55\n20 2 61\n44 10 54\n19 21 43\n45 17 47\n18 1 62\n46 13 51\n27 36 57\n17 3 61\n47 6 58\n27 19 26\n16 10 54\n48 1 63\n15 8 56\n49 14 50\n14 7 56\n33 43 46\n33 14 20\n50 16 47\n34 43 55\n13 1 62\n51 20 43\n12 18 46\n52 4 60\n11 12 51\n53 19 44\n10 3 60\n54 18 46\n29 44 63\n34 17 19\n28 13 20\n9 13 50\n28 44 51\n55 17 46\n8 11 52\n29 4 19\n56 15 49\n7 5 58\n33 47 55\n34 14 16\n57 10 53\n27 4 18\n6 13 51\n58 17 47\n5 3 61\n59 4 59\n4 14 49\n60 17 47\n32 2 13\n3 20 44\n36 48 61\n61 8 55\n2 2 61\n62 2 62\n1 14 49\n25 46 59\n32 51 56\n63 13 50\n-1\n-1\n-1\n-1\n-1\n33 7 13\n23 45 61\n-1\n-1\n-1\n-1\n-1\n-1\n34 3 13\n25 12 17\n",
"15 6 24\n14 8 22\n16 8 22\n13 2 28\n17 14 15\n12 3 27\n17 16 17\n18 13 17\n11 1 29\n19 10 20\n10 12 17\n17 10 13\n20 5 24\n17 18 19\n9 2 28\n21 7 22\n8 12 17\n18 7 12\n22 10 19\n18 18 19\n17 20 24\n7 9 20\n23 11 18\n6 4 26\n24 10 20\n10 18 24\n5 10 20\n25 9 21\n4 6 24\n26 1 29\n17 2 9\n18 20 23\n10 3 11\n3 9 20\n27 8 21\n2 4 25\n28 7 22\n1 1 29\n14 1 7\n8 18 29\n29 7 23\n14 23 27\n-1\n-1\n16 2 7\n-1\n19 2 9\n-1\n8 1 11\n-1\n-1\n16 23 26\n15 3 5\n19 21 27\n-1\n15 25 26\n17 25 29\n15 27 28\n-1\n-1\n-1\n-1\n-1\n-1\n18 2 6\n-1\n-1\n18 24 27\n-1\n-1\n22 20 26\n23 19 29\n-1\n-1\n23 1 10\n-1\n-1\n-1\n-1\n-1\n",
"26 2 50\n25 13 39\n27 14 37\n24 10 41\n28 8 43\n23 24 28\n29 14 38\n22 14 38\n30 21 31\n21 5 46\n31 10 41\n20 7 44\n32 18 34\n19 11 40\n33 21 30\n18 2 50\n34 15 37\n17 10 41\n23 12 23\n35 5 46\n16 17 35\n36 4 47\n23 29 33\n15 15 36\n37 11 40\n14 16 36\n38 17 35\n13 17 34\n39 8 43\n30 8 20\n12 2 49\n40 3 48\n11 5 47\n41 7 45\n30 32 44\n23 34 51\n10 6 46\n33 31 43\n42 5 46\n27 38 40\n9 13 39\n43 6 46\n8 16 36\n44 6 46\n33 14 20\n7 13 38\n45 1 51\n6 15 37\n32 4 17\n27 1 13\n46 5 47\n25 7 12\n25 40 44\n32 35 45\n5 10 41\n47 4 47\n4 17 35\n27 41 45\n48 4 47\n3 8 43\n49 12 40\n2 2 49\n50 14 37\n1 15 36\n51 4 48\n29 2 13\n-1\n-1\n29 39 47\n22 7 13\n22 39 45\n16 3 16\n-1\n-1\n23 1 11\n-1\n-1\n16 36 49\n-1\n33 1 13\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n24 42 45\n",
"31 17 45\n30 18 44\n32 4 57\n29 5 56\n33 24 38\n28 28 34\n34 26 36\n27 4 58\n35 30 32\n26 22 40\n36 7 54\n25 5 56\n37 2 59\n24 13 48\n38 11 51\n23 19 43\n39 17 45\n22 21 40\n40 17 44\n35 26 29\n21 3 59\n41 6 56\n35 33 52\n28 12 27\n20 12 50\n28 35 48\n42 24 38\n19 18 43\n43 3 59\n34 24 25\n18 18 44\n34 37 53\n44 12 50\n33 11 23\n33 39 51\n17 6 55\n45 20 42\n16 3 58\n35 21 25\n46 1 60\n15 11 51\n34 15 23\n47 20 42\n14 7 55\n48 14 47\n13 14 47\n49 21 41\n12 11 51\n50 11 51\n11 20 42\n51 19 42\n26 15 21\n10 19 43\n52 13 48\n26 41 48\n9 20 41\n30 9 17\n53 2 60\n8 14 48\n54 2 59\n30 45 49\n7 13 48\n55 7 55\n6 5 57\n56 15 46\n31 6 16\n5 9 53\n57 17 44\n31 46 55\n35 8 20\n4 9 52\n58 5 56\n3 16 45\n59 10 51\n2 11 51\n60 3 59\n22 41 47\n42 17 23\n1 18 43\n61 4 58\n42 39 55\n-1\n22 19 20\n30 50 55\n-1\n-1\n-1\n-1\n-1\n-1\n34 10 14\n23 18 18\n-1\n49 1 20\n23 44 51\n22 1 18\n-1\n-1\n-1\n-1\n"
]
} | 2CODEFORCES
|
1121_A. Technogoblet of Fire_1499 | Everybody knows that the m-coder Tournament will happen soon. m schools participate in the tournament, and only one student from each school participates.
There are a total of n students in those schools. Before the tournament, all students put their names and the names of their schools into the Technogoblet of Fire. After that, Technogoblet selects the strongest student from each school to participate.
Arkady is a hacker who wants to have k Chosen Ones selected by the Technogoblet. Unfortunately, not all of them are the strongest in their schools, but Arkady can make up some new school names and replace some names from Technogoblet with those. You can't use each made-up name more than once. In that case, Technogoblet would select the strongest student in those made-up schools too.
You know the power of each student and schools they study in. Calculate the minimal number of schools Arkady has to make up so that k Chosen Ones would be selected by the Technogoblet.
Input
The first line contains three integers n, m and k (1 ≤ n ≤ 100, 1 ≤ m, k ≤ n) — the total number of students, the number of schools and the number of the Chosen Ones.
The second line contains n different integers p_1, p_2, …, p_n (1 ≤ p_i ≤ n), where p_i denotes the power of i-th student. The bigger the power, the stronger the student.
The third line contains n integers s_1, s_2, …, s_n (1 ≤ s_i ≤ m), where s_i denotes the school the i-th student goes to. At least one student studies in each of the schools.
The fourth line contains k different integers c_1, c_2, …, c_k (1 ≤ c_i ≤ n) — the id's of the Chosen Ones.
Output
Output a single integer — the minimal number of schools to be made up by Arkady so that k Chosen Ones would be selected by the Technogoblet.
Examples
Input
7 3 1
1 5 3 4 6 7 2
1 3 1 2 1 2 3
3
Output
1
Input
8 4 4
1 2 3 4 5 6 7 8
4 3 2 1 4 3 2 1
3 4 5 6
Output
2
Note
In the first example there's just a single Chosen One with id 3. His power is equal to 3, but in the same school 1, there's a student with id 5 and power 6, and that means inaction would not lead to the latter being chosen. If we, however, make up a new school (let its id be 4) for the Chosen One, Technogoblet would select students with ids 2 (strongest in 3), 5 (strongest in 1), 6 (strongest in 2) and 3 (strongest in 4).
In the second example, you can change the school of student 3 to the made-up 5 and the school of student 4 to the made-up 6. It will cause the Technogoblet to choose students 8, 7, 6, 5, 3 and 4. |
def read_words(func = eval, sp = ' '):
return [func(i) for i in raw_input().split(sp)]
n, m, k = read_words(int)
p = read_words(int)
s = read_words(int)
c = read_words(int)
choose = [(-1, -1)] * m
for i in range(n):
if choose[s[i]-1][1] < p[i]:
choose[s[i]-1] = (i, p[i])
selected = set([i[0] for i in choose])
ans = sum([1 for i in c if i-1 not in selected])
print ans
| 1Python2
| {
"input": [
"8 4 4\n1 2 3 4 5 6 7 8\n4 3 2 1 4 3 2 1\n3 4 5 6\n",
"7 3 1\n1 5 3 4 6 7 2\n1 3 1 2 1 2 3\n3\n",
"2 1 1\n1 2\n1 1\n1\n",
"2 1 1\n1 2\n1 1\n2\n",
"1 1 1\n1\n1\n1\n",
"10 5 4\n4 2 1 7 10 9 6 3 5 8\n3 2 1 4 5 1 4 2 4 2\n9 3 2 6\n",
"10 1 10\n9 1 2 3 5 7 4 10 6 8\n1 1 1 1 1 1 1 1 1 1\n8 9 5 7 1 10 6 2 4 3\n",
"5 1 1\n4 3 2 1 5\n1 1 1 1 1\n5\n",
"13 2 4\n8 13 2 4 6 9 5 12 3 11 1 7 10\n2 2 1 2 2 1 1 1 1 2 1 1 2\n6 8 4 13\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"10 10 4\n3 4 6 1 5 2 8 7 10 9\n4 10 5 7 6 2 1 3 8 9\n5 8 4 7\n",
"5 1 1\n4 3 2 1 5\n1 1 1 1 1\n1\n",
"1 1 1\n2\n1\n1\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"10 5 4\n4 2 1 7 13 9 6 3 5 8\n3 2 1 4 5 1 4 2 4 2\n9 3 2 6\n",
"13 2 4\n8 13 2 4 6 9 5 12 3 11 1 7 10\n2 2 1 2 2 1 1 1 1 2 1 1 2\n6 7 4 13\n",
"8 4 4\n1 2 3 4 5 10 7 8\n4 3 2 1 4 3 2 1\n3 4 5 6\n",
"10 10 4\n3 4 6 1 5 2 8 7 10 14\n4 10 5 7 6 2 1 3 8 9\n5 8 4 7\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"10 10 4\n3 4 6 1 5 2 8 7 16 14\n4 10 5 7 6 2 1 3 8 9\n5 8 4 7\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"13 2 4\n8 13 2 4 6 9 5 12 3 11 1 7 10\n2 2 1 2 2 1 1 1 1 2 1 2 2\n6 7 4 13\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"10 10 4\n3 4 11 1 5 2 8 7 16 14\n4 10 5 7 6 2 1 3 8 9\n5 8 4 7\n",
"13 2 4\n8 13 2 4 6 9 5 12 3 11 1 7 10\n2 2 1 2 2 1 1 1 1 2 1 2 2\n6 2 4 13\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 8 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 8 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 4 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"7 3 1\n1 5 3 4 6 7 2\n1 3 1 2 1 2 2\n3\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"7 3 1\n1 5 3 4 6 7 2\n1 1 1 2 1 2 3\n3\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 4 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"10 5 4\n4 2 1 7 13 9 6 3 5 8\n3 2 1 4 5 1 4 4 4 2\n9 3 2 6\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 150 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 5 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 8 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 8 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 4 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 141 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 4 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 2 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 5 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 2 8 6 8 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 8 6 6 6 9 6 7 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 141 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 5 6 6 6 6 6 6 9 4 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 130 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 2 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 5 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 108 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 8 6 6 6 9 6 7 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 141 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 120 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 5 6 6 6 6 6 6 9 4 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 130 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 146 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 2 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 5 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 141 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 120 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 5 6 6 6 6 6 6 9 4 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 130 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 150 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 146 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 2 6 6 6 6 6 9 6 6 5 6 8 6 6 6 6 5 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"10 5 4\n4 2 1 7 10 9 6 3 5 8\n3 4 1 4 5 1 4 2 4 2\n9 3 2 6\n",
"10 10 4\n3 4 6 1 5 2 8 7 10 18\n4 10 5 7 6 2 1 3 8 9\n5 8 4 7\n",
"10 5 4\n4 2 1 7 13 9 6 3 5 8\n3 2 1 4 5 1 4 2 4 3\n9 3 2 6\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 6 6 6 6 9 6 6 5 6 8 6 8 6 6 6 6 10 6 6 6 6 6 6 6 9 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6\n84\n",
"100 10 1\n62 68 24 82 66 47 73 43 85 23 78 13 94 14 84 17 27 5 72 48 59 46 97 81 88 9 76 69 11 15 12 61 70 7 91 34 99 52 54 57 56 64 55 67 40 38 74 25 30 4 22 92 33 3 86 45 37 26 87 53 75 71 58 96 98 20 36 1 95 63 10 49 19 41 89 21 39 100 93 42 32 90 28 83 6 29 60 65 44 35 18 16 8 50 80 31 51 2 77 79\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 2 6 6 6 8 6 6 6 9 6 6 5 6 8 6 6 6 6 6 6 10 6 6 6 6 6 6 4 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6\n84\n"
],
"output": [
"2\n",
"1\n",
"1\n",
"0\n",
"0\n",
"3\n",
"9\n",
"0\n",
"3\n",
"1\n",
"0\n",
"1\n",
"0\n",
"1\n",
"3\n",
"4\n",
"2\n",
"0\n",
"1\n",
"1\n",
"0\n",
"1\n",
"4\n",
"1\n",
"0\n",
"3\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"1\n",
"3\n",
"1\n",
"1\n",
"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",
"3\n",
"0\n",
"3\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
Subsets and Splits