source
stringclasses 4
values | task_type
stringclasses 1
value | in_source_id
stringlengths 0
138
| problem
stringlengths 219
13.2k
| gold_standard_solution
stringlengths 0
413k
| problem_id
stringlengths 5
10
| metadata
dict | verification_info
dict |
|---|---|---|---|---|---|---|---|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1149/D
|
Solve the following coding problem using the programming language python:
Codefortia is a small island country located somewhere in the West Pacific. It consists of $n$ settlements connected by $m$ bidirectional gravel roads. Curiously enough, the beliefs of the inhabitants require the time needed to pass each road to be equal either to $a$ or $b$ seconds. It's guaranteed that one can go between any pair of settlements by following a sequence of roads.
Codefortia was recently struck by the financial crisis. Therefore, the king decided to abandon some of the roads so that:
it will be possible to travel between each pair of cities using the remaining roads only, the sum of times required to pass each remaining road will be minimum possible (in other words, remaining roads must form minimum spanning tree, using the time to pass the road as its weight), among all the plans minimizing the sum of times above, the time required to travel between the king's residence (in settlement $1$) and the parliament house (in settlement $p$) using the remaining roads only will be minimum possible.
The king, however, forgot where the parliament house was. For each settlement $p = 1, 2, \dots, n$, can you tell what is the minimum time required to travel between the king's residence and the parliament house (located in settlement $p$) after some roads are abandoned?
-----Input-----
The first line of the input contains four integers $n$, $m$, $a$ and $b$ ($2 \leq n \leq 70$, $n - 1 \leq m \leq 200$, $1 \leq a < b \leq 10^7$) — the number of settlements and gravel roads in Codefortia, and two possible travel times. Each of the following lines contains three integers $u, v, c$ ($1 \leq u, v \leq n$, $u \neq v$, $c \in \{a, b\}$) denoting a single gravel road between the settlements $u$ and $v$, which requires $c$ minutes to travel.
You can assume that the road network is connected and has no loops or multiedges.
-----Output-----
Output a single line containing $n$ integers. The $p$-th of them should denote the minimum possible time required to travel from $1$ to $p$ after the selected roads are abandoned. Note that for each $p$ you can abandon a different set of roads.
-----Examples-----
Input
5 5 20 25
1 2 25
2 3 25
3 4 20
4 5 20
5 1 20
Output
0 25 60 40 20
Input
6 7 13 22
1 2 13
2 3 13
1 4 22
3 4 13
4 5 13
5 6 13
6 1 13
Output
0 13 26 39 26 13
-----Note-----
The minimum possible sum of times required to pass each road in the first example is $85$ — exactly one of the roads with passing time $25$ must be abandoned. Note that after one of these roads is abandoned, it's now impossible to travel between settlements $1$ and $3$ in time $50$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import heapq
(n, m, a, b) = map(int, input().split())
graph = {i: [] for i in range(n)}
for i in range(m):
(u, v, w) = map(int, input().split())
graph[u - 1].append((v - 1, w))
graph[v - 1].append((u - 1, w))
components = [-1] * n
comp = -1
for i in range(n):
if components[i] == -1:
comp += 1
components[i] = comp
prev = []
layer = [i]
while layer != []:
newlayer = []
for guy in layer:
for guy1 in graph[guy]:
if guy1[1] == a and components[guy1[0]] == -1:
newlayer.append(guy1[0])
components[guy1[0]] = comp
prev = layer[:]
layer = newlayer[:]
useless = []
for guy in graph:
for neigh in graph[guy]:
if components[guy] == components[neigh[0]] and neigh[1] == b:
useless.append((guy, neigh))
for guy in useless:
graph[guy[0]].remove(guy[1])
counts = [0] * (comp + 1)
for i in range(n):
counts[components[i]] += 1
bad = []
for i in range(comp + 1):
if counts[i] <= 3:
bad.append(i)
for j in range(n):
if components[j] == i:
components[j] = -1
for guy in bad[::-1]:
for i in range(n):
if components[i] > guy:
components[i] -= 1
comp -= len(bad)
comp += 1
dists = [[float('inf') for i in range(2 ** comp)] for j in range(n)]
dists[0][0] = 0
pq = []
heapq.heappush(pq, [0, 0, 0])
remaining = n
visited = [0] * n
while len(pq) > 0 and remaining > 0:
(dist, vert, mask) = heapq.heappop(pq)
if visited[vert] == 0:
visited[vert] = 1
remaining -= 1
for neigh in graph[vert]:
if neigh[1] == b:
if components[vert] == components[neigh[0]] and components[vert] != -1:
continue
if components[neigh[0]] != -1:
if mask & 2 ** components[neigh[0]] > 0:
continue
if components[vert] != -1:
maskn = mask + 2 ** components[vert]
else:
maskn = mask
else:
maskn = mask
if dist + neigh[1] < dists[neigh[0]][maskn]:
dists[neigh[0]][maskn] = dist + neigh[1]
heapq.heappush(pq, [dist + neigh[1], neigh[0], maskn])
optimal = [str(min(dists[i])) for i in range(n)]
print(' '.join(optimal))
```
|
vfc_86025
|
{
"difficulty": "very_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1149/D",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 5 20 25\n1 2 25\n2 3 25\n3 4 20\n4 5 20\n5 1 20\n",
"output": "0 25 60 40 20\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 7 13 22\n1 2 13\n2 3 13\n1 4 22\n3 4 13\n4 5 13\n5 6 13\n6 1 13\n",
"output": "0 13 26 39 26 13\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1 1 2\n2 1 1\n",
"output": "0 1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1426/F
|
Solve the following coding problem using the programming language python:
You are given a string $s$ consisting of lowercase Latin letters "a", "b" and "c" and question marks "?".
Let the number of question marks in the string $s$ be $k$. Let's replace each question mark with one of the letters "a", "b" and "c". Here we can obtain all $3^{k}$ possible strings consisting only of letters "a", "b" and "c". For example, if $s = $"ac?b?c" then we can obtain the following strings: $[$"acabac", "acabbc", "acabcc", "acbbac", "acbbbc", "acbbcc", "accbac", "accbbc", "accbcc"$]$.
Your task is to count the total number of subsequences "abc" in all resulting strings. Since the answer can be very large, print it modulo $10^{9} + 7$.
A subsequence of the string $t$ is such a sequence that can be derived from the string $t$ after removing some (possibly, zero) number of letters without changing the order of remaining letters. For example, the string "baacbc" contains two subsequences "abc" — a subsequence consisting of letters at positions $(2, 5, 6)$ and a subsequence consisting of letters at positions $(3, 5, 6)$.
-----Input-----
The first line of the input contains one integer $n$ $(3 \le n \le 200\,000)$ — the length of $s$.
The second line of the input contains the string $s$ of length $n$ consisting of lowercase Latin letters "a", "b" and "c" and question marks"?".
-----Output-----
Print the total number of subsequences "abc" in all strings you can obtain if you replace all question marks with letters "a", "b" and "c", modulo $10^{9} + 7$.
-----Examples-----
Input
6
ac?b?c
Output
24
Input
7
???????
Output
2835
Input
9
cccbbbaaa
Output
0
Input
5
a???c
Output
46
-----Note-----
In the first example, we can obtain $9$ strings: "acabac" — there are $2$ subsequences "abc", "acabbc" — there are $4$ subsequences "abc", "acabcc" — there are $4$ subsequences "abc", "acbbac" — there are $2$ subsequences "abc", "acbbbc" — there are $3$ subsequences "abc", "acbbcc" — there are $4$ subsequences "abc", "accbac" — there is $1$ subsequence "abc", "accbbc" — there are $2$ subsequences "abc", "accbcc" — there are $2$ subsequences "abc".
So, there are $2 + 4 + 4 + 2 + 3 + 4 + 1 + 2 + 2 = 24$ subsequences "abc" in total.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def solve(s, n):
a = 0
ab = 0
abc = 0
aTimes = 1
for i in range(s):
if n[i] == 'a':
a += aTimes
a = a % mod
elif n[i] == 'b':
ab += a
ab = ab % mod
elif n[i] == 'c':
abc += ab
abc = abc % mod
elif n[i] == '?':
abc = (3 * abc + ab) % mod
ab = (3 * ab + a) % mod
a = (3 * a + aTimes) % mod
aTimes = aTimes * 3 % mod
return abc
mod = 10 ** 9 + 7
s = int(input())
n = input()
print(solve(s, n))
```
|
vfc_86029
|
{
"difficulty": "hard",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1426/F",
"time_limit": "1 second"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\nac?b?c\n",
"output": "24\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n???????\n",
"output": "2835\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9\ncccbbbaaa\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\na???c\n",
"output": "46\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/HARDBET
|
Solve the following coding problem using the programming language python:
There are 3 problems in a contest namely A, B, C respectively. Alice bets Bob that problem C is the hardest while Bob says that problem B will be the hardest.
You are given three integers S_{A}, S_{B}, S_{C} which denotes the number of successful submissions of the problems A, B, C respectively. It is guaranteed that each problem has a different number of submissions. Determine who wins the bet.
1) If Alice wins the bet (i.e. problem C is the hardest), then output Alice.
2) If Bob wins the bet (i.e. problem B is the hardest), then output Bob.
3) If no one wins the bet (i.e. problem A is the hardest), then output Draw.
Note: The hardest problem is the problem with the least number of successful submissions.
------ Input Format ------
- The first line of input contains a single integer T denoting the number of test cases. The description of T test cases follows.
- The first and only line of each test case contains three space-separated integers S_{A}, S_{B}, S_{C}, denoting the number of successful submissions of problems A, B, C respectively.
------ Output Format ------
For each test case, output the winner of the bet or print Draw in case no one wins the bet.
------ Constraints ------
$1 ≤ T ≤ 100$
$1 ≤ S_{A},S_{B},S_{C} ≤ 100$
$S_{A}, S_{B}, S_{C}$ are all distinct.
------ subtasks ------
TESTING
----- Sample Input 1 ------
3
1 4 2
16 8 10
14 15 9
----- Sample Output 1 ------
Draw
Bob
Alice
----- explanation 1 ------
Test case $1$: Problem $A$ turns out to be the hardest so no one wins the bet.
Test case $2$: Problem $B$ turns out to be the hardest so Bob wins the bet.
Test case $3$: Problem $C$ turns out to be the hardest so Alice wins the bet.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for i in range(int(input())):
(a, b, c) = map(int, input().split())
if c < b and c < a:
print('Alice')
elif b < c and b < a:
print('Bob')
else:
print('Draw')
```
|
vfc_86033
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/HARDBET",
"time_limit": "0.5 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n1 4 2\n16 8 10\n14 15 9\n",
"output": "Draw\nBob\nAlice\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/PROTEPOI
|
Solve the following coding problem using the programming language python:
The kingdom of the snakes is an NxN grid. Their most-valued possession is a huge collection of poison, which is stored in the central KxK grid. It is guaranteed that both N and K are odd. What we mean by 'central' is this: suppose in the NxN grid, (i, j) refers to the cell in the i-th row and j-th column and (1,1) refers to the top-left corner and (N,N) refers to the bottom-right corner. Then the poison is stored in the KxK square whose top-left corner is ( (N - K)/2 + 1, (N - K)/2 + 1 ).
But there are thieves who want to steal the poison. They cannot enter the NxN grid, but they can shoot arrows from outside. These arrows travel across a row (from left to right, or right to left), or across a column (top to bottom or bottom to top) in a straight line. If the arrow enters the KxK grid, some of the poison will stick to the arrow, and if it exits the NxN grid after that, the thieves will have successfully stolen some of the poison.
As the King of the snakes, you want to thwart these attempts. You know that the arrows will break and stop if they hit a snake's scaly skin, but won't hurt the snakes. There are some snakes already guarding the poison. Each snake occupies some consecutive cells in a straight line inside the NxN grid. That is, they are either part of a row, or part of a column. Note that there can be intersections between the snakes. A configuration of snakes is 'safe', if the thieves cannot steal poison. That is, no matter which row or column they shoot arrows from, either the arrow should hit a snake and stop (this can happen even after it has entered and exited the KxK grid), or it shouldn't ever enter the KxK grid.
The King has other duties for the snakes, and hence wants to remove as many snakes as possible from this configuration, such that the remaining configuration is still 'safe'. Help him find the minimum number of snakes he needs to leave behind to protect the poison.
-----Input-----
- The first line contains a single integer, T, the number of testcases.
- The first line of each testcase contains three integers: N, K and M, where N is the size of the entire square grid, K is the size of the square containing the poison, and M is the number of initial snakes.
- M lines follow, the i-th of which contains four integers: HXi, HYi, TXi, TYi. (HXi, HYi) is the cell which contains the head of the i-th snake. (TXi, TYi) is the cell which contains the tail of the i-th snake. It is guaranteed that both these cells will either lie in the same row, or same column. And hence the cells in between them, including these two cells, represents the i-th snake.
-----Output-----
- For each testcase, output a single integer in a new line: The minimum number of the snakes that the king can keep and still protect the poison. If it is not possible to protect the poison even with all the snakes, output -1.
-----Constraints-----
- 1 ≤ T ≤ 4
- 3 ≤ N ≤ 109
- 1 ≤ K ≤ N-2
- Both N and K will be odd integers
- 1 ≤ M ≤ 105
- 1 ≤ HXi, HYi, TXi, TYi ≤ N
- It is guaranteed that at least one of (HXi = TXi), and (HYi = TYi) will be true for all i
- None of the cells in the KxK grid will be occupied by any snake
-----Example-----
Input:
2
7 3 7
1 1 6 1
1 2 3 2
5 2 5 2
2 4 2 6
6 2 6 4
5 6 5 7
7 1 7 4
7 3 7
1 1 6 1
1 2 3 2
5 2 5 2
2 6 2 6
6 2 6 4
5 6 5 7
7 1 7 4
Output:
3
-1
-----Explanation-----
The first example corresponds to:
Note that the top-left corner cell of the NxN grid is by definition, (1,1). The inner square contains the poison, and the seven snakes are shown in different colours. The green snake is the 1st snake in the input.
We can remove all but 3 snakes and protect the poison. One such configuration is this:
You can check that no arrow can enter the inner poison square and exit the outer square without hitting a snake. Hence is it safe. Also, you cannot do this with fewer snakes. Hence 3 is the answer.
The second testcase corresponds to:
You can check that even with all the snakes, this is not a safe configuration, because the thieves can shoot an arrow down the 5th column, and they can steal poison. Hence, the answer is -1.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for _ in range(int(input())):
(n, k, m) = list(map(int, input().split()))
row_s = []
col_s = []
for _ in range(m):
(h_x, h_y, t_x, t_y) = list(map(int, input().split()))
if h_x == t_x:
if h_x < (n - k) // 2 + 1 or h_x > (n - k) // 2 + k:
col_s.append([min(h_y, t_y), max(h_y, t_y)])
else:
row_s.append([h_x, h_x])
if h_y == t_y:
if h_y < (n - k) // 2 + 1 or h_y > (n - k) // 2 + k:
row_s.append([min(h_x, t_x), max(h_x, t_x)])
else:
col_s.append([h_y, h_y])
row_s.sort()
col_s.sort()
poss = True
if len(col_s) == 0 or len(row_s) == 0:
print(-1)
continue
next_row = (n - k) // 2 + 1
i = 0
count_row = 0
while i < len(row_s):
max_next = next_row
if next_row < row_s[i][0]:
poss = False
break
while i < len(row_s) and row_s[i][0] <= next_row:
max_next = max(max_next, row_s[i][1] + 1)
i += 1
next_row = max_next
count_row += 1
if next_row > (n - k) // 2 + k:
break
if next_row < (n - k) // 2 + k and i >= len(row_s):
poss = False
break
next_col = (n - k) // 2 + 1
i = 0
count_col = 0
while i < len(col_s):
max_next = next_col
if next_col < col_s[i][0]:
poss = False
break
while i < len(col_s) and col_s[i][0] <= next_col:
max_next = max(max_next, col_s[i][1] + 1)
i += 1
next_col = max_next
count_col += 1
if next_col > (n - k) // 2 + k:
break
if next_col < (n - k) // 2 + k and i >= len(col_s):
poss = False
break
print(count_col + count_row if poss else -1)
```
|
vfc_86041
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/PROTEPOI",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n7 3 7\n1 1 6 1\n1 2 3 2\n5 2 5 2\n2 4 2 6\n6 2 6 4\n5 6 5 7\n7 1 7 4\n7 3 7\n1 1 6 1\n1 2 3 2\n5 2 5 2\n2 6 2 6\n6 2 6 4\n5 6 5 7\n7 1 7 4\n",
"output": "3\n-1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/ENJU2020/problems/ECJN209
|
Solve the following coding problem using the programming language python:
Lets wish Horsbug98 on his birthday and jump right into the question.
In Chefland, $6$ new mobile brands have appeared each providing a range of smartphones. For simplicity let the brands be represented by numbers $1$ to $6$. All phones are sold at the superstore.
There are total $N$ smartphones. Let $P_i$ & $B_i$ be the price and the brand of the $i^{th}$ smartphone. The superstore knows all the price and brand details beforehand.
Each customer has a preference for brands. The preference is a subset of the brands available (i.e $1$ to $6$). Also, the customer will buy the $K^{th}$ costliest phone among all the phones of his preference.
You will be asked $Q$ queries. Each query consists of the preference of the customer and $K$.
Find the price the customer has to pay for his preference. If no such phone is available, print $-1$
Note that for each query the total number of smartphones is always $N$ since, after each purchase, the phones are replaced instantly.
-----Input:-----
- First Line contains $N$ and $Q$
- Second-line contains $N$ integers $P_1,P_2,...,P_N$ (Price)
- Third line contains $N$ integers $B_1,B_2,...,B_N$ (Brand)
- Each of the next Q lines contains a query, the query is describes below
- First line of each quey contains $b$ and $K$ where $b$ is the size of the preference subset.
- Second line of each query contains $b$ integers, describing the preference subset.
-----Output:-----
For each query, print the price to be paid.
-----Constraints-----
- $1 \leq N, Q, P_i \leq 10^5$
- $1 \leq B_i, b \leq 6$
- $1 \leq K \leq N$
-----Sample Input:-----
4 2
4 5 6 7
1 2 3 4
3 3
1 2 3
3 4
4 5 6
-----Sample Output:-----
4
-1
-----Explaination-----
Query 1: The preference subset is {1, 2, 3}, The prices of phones available of these brands are {4, 5, 6}. The third costliest phone is 4.
Query 2: The preference subset is {4, 5, 6}, The prices of phones available of these brands are {7}.
Fouth costliest phone is required, which is not available. Hence, answer is $-1$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import sys
from collections import defaultdict
from copy import copy
R = lambda t=int: t(eval(input()))
RL = lambda t=int: [t(x) for x in input().split()]
RLL = lambda n, t=int: [RL(t) for _ in range(n)]
def solve():
(N, Q) = RL()
P = RL()
B = RL()
phones = sorted(zip(P, B))
S = defaultdict(lambda : [])
for (p, b) in phones:
for i in range(2 ** 7):
if i >> b & 1:
S[i] += [p]
B = set(B)
I = [0] * len(B)
for _ in range(Q):
(b, K) = RL()
s = RL()
x = 0
for b in s:
x += 1 << b
if len(S[x]) < K:
print(-1)
else:
print(S[x][-K])
T = 1
for t in range(1, T + 1):
solve()
```
|
vfc_86049
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/ENJU2020/problems/ECJN209",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4 2\n4 5 6 7\n1 2 3 4\n3 3\n1 2 3\n3 4\n4 5 6\n",
"output": "4\n-1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1042/B
|
Solve the following coding problem using the programming language python:
Berland shop sells $n$ kinds of juices. Each juice has its price $c_i$. Each juice includes some set of vitamins in it. There are three types of vitamins: vitamin "A", vitamin "B" and vitamin "C". Each juice can contain one, two or all three types of vitamins in it.
Petya knows that he needs all three types of vitamins to stay healthy. What is the minimum total price of juices that Petya has to buy to obtain all three vitamins? Petya obtains some vitamin if he buys at least one juice containing it and drinks it.
-----Input-----
The first line contains a single integer $n$ $(1 \le n \le 1\,000)$ — the number of juices.
Each of the next $n$ lines contains an integer $c_i$ $(1 \le c_i \le 100\,000)$ and a string $s_i$ — the price of the $i$-th juice and the vitamins it contains. String $s_i$ contains from $1$ to $3$ characters, and the only possible characters are "A", "B" and "C". It is guaranteed that each letter appears no more than once in each string $s_i$. The order of letters in strings $s_i$ is arbitrary.
-----Output-----
Print -1 if there is no way to obtain all three vitamins. Otherwise print the minimum total price of juices that Petya has to buy to obtain all three vitamins.
-----Examples-----
Input
4
5 C
6 B
16 BAC
4 A
Output
15
Input
2
10 AB
15 BA
Output
-1
Input
5
10 A
9 BC
11 CA
4 A
5 B
Output
13
Input
6
100 A
355 BCA
150 BC
160 AC
180 B
190 CA
Output
250
Input
2
5 BA
11 CB
Output
16
-----Note-----
In the first example Petya buys the first, the second and the fourth juice. He spends $5 + 6 + 4 = 15$ and obtains all three vitamins. He can also buy just the third juice and obtain three vitamins, but its cost is $16$, which isn't optimal.
In the second example Petya can't obtain all three vitamins, as no juice contains vitamin "C".
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def minv(a, b=0, c=0):
if a | b | c != 7:
return mins
s = opts[a] + opts[b] + opts[c]
return min(mins, s)
opts = [1000000] * 8
opts[0] = 0
for _ in range(int(input())):
(c, l) = input().split()
(v, c) = (0, int(c))
if 'A' in l:
v += 1
if 'B' in l:
v += 2
if 'C' in l:
v += 4
opts[v] = min(opts[v], c)
mins = 10000000
for a in range(1, 8):
mins = minv(a)
for b in range(a + 1, 8):
mins = minv(a, b)
for c in range(b + 1, 8):
mins = minv(a, b, c)
print(-1 if mins >= 1000000 else mins)
```
|
vfc_86059
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1042/B",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n5 C\n6 B\n16 BAC\n4 A\n",
"output": "15\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n10 AB\n15 BA\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n10 A\n9 BC\n11 CA\n4 A\n5 B\n",
"output": "13\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n100 A\n355 BCA\n150 BC\n160 AC\n180 B\n190 CA\n",
"output": "250\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n5 BA\n11 CB\n",
"output": "16\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/839/A
|
Solve the following coding problem using the programming language python:
Bran and his older sister Arya are from the same house. Bran like candies so much, so Arya is going to give him some Candies.
At first, Arya and Bran have 0 Candies. There are n days, at the i-th day, Arya finds a_{i} candies in a box, that is given by the Many-Faced God. Every day she can give Bran at most 8 of her candies. If she don't give him the candies at the same day, they are saved for her and she can give them to him later.
Your task is to find the minimum number of days Arya needs to give Bran k candies before the end of the n-th day. Formally, you need to output the minimum day index to the end of which k candies will be given out (the days are indexed from 1 to n).
Print -1 if she can't give him k candies during n given days.
-----Input-----
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 10000).
The second line contains n integers a_1, a_2, a_3, ..., a_{n} (1 ≤ a_{i} ≤ 100).
-----Output-----
If it is impossible for Arya to give Bran k candies within n days, print -1.
Otherwise print a single integer — the minimum number of days Arya needs to give Bran k candies before the end of the n-th day.
-----Examples-----
Input
2 3
1 2
Output
2
Input
3 17
10 10 10
Output
3
Input
1 9
10
Output
-1
-----Note-----
In the first sample, Arya can give Bran 3 candies in 2 days.
In the second sample, Arya can give Bran 17 candies in 3 days, because she can give him at most 8 candies per day.
In the third sample, Arya can't give Bran 9 candies, because she can give him at most 8 candies per day and she must give him the candies within 1 day.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
(n, m) = map(int, input().split())
c = list(map(int, input().split()))
i = 0
l = 0
for i in range(n):
l += c[i]
m -= min(l, 8)
l -= min(l, 8)
if m <= 0:
print(i + 1)
break
else:
print(-1)
```
|
vfc_86063
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/839/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 3\n1 2\n",
"output": "2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 17\n10 10 10\n",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 9\n10\n",
"output": "-1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10 70\n6 5 2 3 3 2 1 4 3 2\n",
"output": "-1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "20 140\n40 4 81 40 10 54 34 50 84 60 16 1 90 78 38 93 99 60 81 99\n",
"output": "18",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/876/C
|
Solve the following coding problem using the programming language python:
Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number n. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that n is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer x was given. The task was to add x to the sum of the digits of the number x written in decimal numeral system.
Since the number n on the board was small, Vova quickly guessed which x could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number n for all suitable values of x or determine that such x does not exist. Write such a program for Vova.
Input
The first line contains integer n (1 ≤ n ≤ 109).
Output
In the first line print one integer k — number of different values of x satisfying the condition.
In next k lines print these values in ascending order.
Examples
Input
21
Output
1
15
Input
20
Output
0
Note
In the first test case x = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such x.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import sys
text = sys.stdin.read().strip()
n = int(text)
q = lambda x: sum([int(b) for b in str(x)])
e = []
for i in range(max(0, n - 81), n):
if i + q(i) == n:
e.append(i)
print(len(e))
for z in e:
print(z)
```
|
vfc_86067
|
{
"difficulty": "easy",
"memory_limit": "512.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/876/C",
"time_limit": "1.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10\n",
"output": "1\n5 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "66\n",
"output": "1\n60 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "39\n",
"output": "1\n33 ",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/RAINFALL1
|
Solve the following coding problem using the programming language python:
In Chefland, precipitation is measured using a rain gauge in millimetre per hour.
Chef categorises rainfall as:
LIGHT, if rainfall is less than 3 millimetre per hour.
MODERATE, if rainfall is greater than equal to 3 millimetre per hour and less than 7 millimetre per hour.
HEAVY if rainfall is greater than equal to 7 millimetre per hour.
Given that it rains at X millimetre per hour on a day, find whether the rain is LIGHT, MODERATE, or HEAVY.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of a single integer X — the rate of rainfall in millimetre per hour.
------ Output Format ------
For each test case, output on a new line, whether the rain is LIGHT, MODERATE, or HEAVY.
You may print each character in lowercase or uppercase. For example, LIGHT, light, Light, and liGHT, are all identical.
------ Constraints ------
$1 ≤ T ≤ 20$
$1 ≤ X ≤ 20$
----- Sample Input 1 ------
4
1
20
3
7
----- Sample Output 1 ------
LIGHT
HEAVY
MODERATE
HEAVY
----- explanation 1 ------
Test case $1$: The rate of precipitation is less than $3$. Thus, the rain is LIGHT.
Test case $2$: The rate of precipitation is greater than equal to $7$. Thus, the rain is HEAVY.
Test case $3$: The rate of precipitation is greater than equal to $3$ and less than $7$. Thus, the rain is MODERATE.
Test case $4$: The rate of precipitation is greater than equal to $7$. Thus, the rain is HEAVY.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
t = int(input())
for i in range(t):
x = int(input())
if x < 3:
print('LIGHT')
elif x >= 3 and x < 7:
print('MODERATE')
else:
print('HEAVY')
```
|
vfc_86071
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/RAINFALL1",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n1\n20\n3\n7\n",
"output": "LIGHT\nHEAVY\nMODERATE\nHEAVY",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1506/B
|
Solve the following coding problem using the programming language python:
You are given a number $k$ and a string $s$ of length $n$, consisting of the characters '.' and '*'. You want to replace some of the '*' characters with 'x' characters so that the following conditions are met:
The first character '*' in the original string should be replaced with 'x';
The last character '*' in the original string should be replaced with 'x';
The distance between two neighboring replaced characters 'x' must not exceed $k$ (more formally, if you replaced characters at positions $i$ and $j$ ($i < j$) and at positions $[i+1, j-1]$ there is no "x" symbol, then $j-i$ must be no more than $k$).
For example, if $n=7$, $s=$.**.*** and $k=3$, then the following strings will satisfy the conditions above:
.xx.*xx;
.x*.x*x;
.xx.xxx.
But, for example, the following strings will not meet the conditions:
.**.*xx (the first character '*' should be replaced with 'x');
.x*.xx* (the last character '*' should be replaced with 'x');
.x*.*xx (the distance between characters at positions $2$ and $6$ is greater than $k=3$).
Given $n$, $k$, and $s$, find the minimum number of '*' characters that must be replaced with 'x' in order to meet the above conditions.
-----Input-----
The first line contains one integer $t$ ($1 \le t \le 500$). Then $t$ test cases follow.
The first line of each test case contains two integers $n$ and $k$ ($1 \le k \le n \le 50$).
The second line of each test case contains a string $s$ of length $n$, consisting of the characters '.' and '*'.
It is guaranteed that there is at least one '*' in the string $s$.
It is guaranteed that the distance between any two neighboring '*' characters does not exceed $k$.
-----Output-----
For each test case output the minimum number of '*' characters that must be replaced with 'x' characters in order to satisfy the conditions above.
-----Examples-----
Input
5
7 3
.**.***
5 1
..*..
5 2
*.*.*
3 2
*.*
1 1
*
Output
3
1
3
2
1
-----Note-----
None
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for i in range(int(input())):
(n, k) = map(int, input().split())
s = input()
c = 1
f = s.find('*')
while f < s.rfind('*'):
f = s.rfind('*', f, f + k + 1)
c += 1
print(c)
```
|
vfc_86080
|
{
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1506/B",
"time_limit": "2 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n7 3\n.**.***\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n",
"output": "3\n1\n3\n2\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n7 3\n.**.***\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n",
"output": "3\n1\n3\n2\n1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1741/A
|
Solve the following coding problem using the programming language python:
Two T-shirt sizes are given: $a$ and $b$. The T-shirt size is either a string M or a string consisting of several (possibly zero) characters X and one of the characters S or L.
For example, strings M, XXL, S, XXXXXXXS could be the size of some T-shirts. And the strings XM, LL, SX are not sizes.
The letter M stands for medium, S for small, L for large. The letter X refers to the degree of size (from eXtra). For example, XXL is extra-extra-large (bigger than XL, and smaller than XXXL).
You need to compare two given sizes of T-shirts $a$ and $b$.
The T-shirts are compared as follows:
any small size (no matter how many letters X) is smaller than the medium size and any large size;
any large size (regardless of the number of letters X) is larger than the medium size and any small size;
the more letters X before S, the smaller the size;
the more letters X in front of L, the larger the size.
For example:
XXXS < XS
XXXL > XL
XL > M
XXL = XXL
XXXXXS < M
XL > XXXS
-----Input-----
The first line of the input contains a single integer $t$ ($1 \le t \le 10^4$) — the number of test cases.
Each test case consists of one line, in which $a$ and $b$ T-shirt sizes are written. The lengths of the strings corresponding to the T-shirt sizes do not exceed $50$. It is guaranteed that all sizes are correct.
-----Output-----
For each test case, print on a separate line the result of comparing $a$ and $b$ T-shirt sizes (lines "<", ">" or "=" without quotes).
-----Examples-----
Input
6
XXXS XS
XXXL XL
XL M
XXL XXL
XXXXXS M
L M
Output
<
>
>
=
<
>
-----Note-----
None
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import sys
input = sys.stdin.readline
t = int(input())
for _ in range(t):
(str1, str2) = map(str, input().rstrip().split())
if str1[-1] == 'S':
l1 = -len(str1)
elif str1[-1] == 'L':
l1 = len(str1)
else:
l1 = 0
if str2[-1] == 'S':
l2 = -len(str2)
elif str2[-1] == 'L':
l2 = len(str2)
else:
l2 = 0
if l1 > l2:
print('>')
elif l1 == l2:
print('=')
else:
print('<')
```
|
vfc_86084
|
{
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1741/A",
"time_limit": "1 second"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\nXXXS XS\nXXXL XL\nXL M\nXXL XXL\nXXXXXS M\nL M\n",
"output": "<\n>\n>\n=\n<\n>\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\nS L\nL S\nM L\nL M\nS M\nM S\n",
"output": "<\n>\n<\n>\n<\n>\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nM S\n",
"output": ">\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXS XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXL\n",
"output": "<\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.hackerrank.com/challenges/kittys-calculations-on-a-tree/problem
|
Solve the following coding problem using the programming language python:
Kitty has a tree, $\mathbf{T}$, consisting of $n$ nodes where each node is uniquely labeled from $1$ to $n$. Her friend Alex gave her $\textit{q}$ sets, where each set contains $\boldsymbol{\mbox{k}}$ distinct nodes. Kitty needs to calculate the following expression on each set:
$\bigg(\sum_{\{u,v\}}u\cdot v\cdot dist(u,v)\bigg)\text{mod}\ (10^9+7)$
where:
$\{u,v\}$ denotes an unordered pair of nodes belonging to the set.
$dist(u,v)$ denotes the number of edges on the unique (shortest) path between nodes $\mbox{u}$ and $\boldsymbol{\nu}$.
Given $\mathbf{T}$ and $\textit{q}$ sets of $\boldsymbol{\mbox{k}}$ distinct nodes, calculate the expression for each set. For each set of nodes, print the value of the expression modulo $10^9+7$ on a new line.
Example
$edges=[[1,2],[1,3],[1,4],[3,5],[3,6],[3,7]]$
$queries=[4,5,7]$
The graph looks like this:
There are three pairs that can be created from the query set: $[4,5],[4,7],[5,7]$. The distance from $\begin{array}{c}4\end{array}$ to $5$ is $3$, from $\begin{array}{c}4\end{array}$ to $7$ is $3$, and from $5$ to $7$ is $2$.
Now do the summation:
$\begin{aligned}(4\cdot5\cdot dist(4,5)+4\cdot7\cdot dist(4,7)+5\cdot7\cdot dist(5,7))\ \text{mod}\ (10^9+7)\\ \Rightarrow(4\cdot5\cdot3+4\cdot7\cdot3+5\cdot7\cdot2)\ \text{mod}\ (10^9+7)\\ \Rightarrow214\end{aligned}$
Input Format
The first line contains two space-separated integers, the respective values of $n$ (the number of nodes in tree $\mathbf{T}$) and $\textit{q}$ (the number of nodes in the query set).
Each of the $n-1$ subsequent lines contains two space-separated integers, $\class{ML__boldsymbol}{\boldsymbol{a}}$ and $\boldsymbol{b}$, that describe an undirected edge between nodes $\class{ML__boldsymbol}{\boldsymbol{a}}$ and $\boldsymbol{b}$.
The $2\cdot q$ subsequent lines define each set over two lines in the following format:
The first line contains an integer, $\boldsymbol{\mbox{k}}$, the size of the set.
The second line contains $\boldsymbol{\mbox{k}}$ space-separated integers, the set's elements.
Constraints
$1\leq n\leq2\cdot10^5$
$1\leq a,b\leq n$
$1\leq q\leq10^5$
$1\leq k_i\leq10^5$
The sum of $k_i$ over all $\textit{q}$ does not exceed $2\cdot10^{5}$.
All elements in each set are distinct.
Subtasks
$1\leq n\leq2000$ for $24\%$ of the maximum score.
$1\leq n\leq5\cdot10^4$ for $45\%$ of the maximum score.
$1\leq n\leq2\cdot10^5$ for $\textbf{100\%}$ of the maximum score.
Output Format
Print $\textit{q}$ lines of output where each line $\boldsymbol{i}$ contains the expression for the $i^{\mbox{th}}$ query, modulo $10^9+7$.
Sample Input 0
7 3
1 2
1 3
1 4
3 5
3 6
3 7
2
2 4
1
5
3
2 4 5
Sample Output 0
16
0
106
Explanation 0
Tree $\mathbf{T}$ looks like this:
We perform the following calculations for $q=3$ sets:
Set $0$: Given set $\{2,4\}$, the only pair we can form is $(u,v)=(2,4)$, where $dist(2,4)=2$. We then calculate the following answer and print it on a new line:
$\begin{aligned}(2\cdot4\cdot dist(2,4))\ \text{mod}\ (10^9+7)\\ \Rightarrow(2\cdot4\cdot2)\ \text{mod}\ (10^9+7)\\ \Rightarrow16\end{aligned}$
Set $1$: Given set $\{5\}$, we cannot form any pairs because we don't have at least two elements. Thus, we print $0$ on a new line.
Set $2$: Given set $\{2,4,5\}$, we can form the pairs $(2,4)$, $(2,5)$, and $(4,5)$. We then calculate the following answer and print it on a new line:
$\begin{aligned}(2\cdot4\cdot dist(2,4)+2\cdot5\cdot dist(2,5)+4\cdot5\cdot dist(4,5))\ \text{mod}\ (10^9+7)\\ \Rightarrow(2\cdot4\cdot2+2\cdot5\cdot3+4\cdot5\cdot3)\ \text{mod}\ (10^9+7)\\ \Rightarrow106\end{aligned}$
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import Counter, defaultdict
MOD = 10 ** 9 + 7
def read_row():
return (int(x) for x in input().split())
def mul(x, y):
return x * y % MOD
def add(*args):
return sum(args) % MOD
def sub(x, y):
return (x - y) % MOD
(n, q) = read_row()
adj_list = defaultdict(list)
for _ in range(n - 1):
(u, v) = read_row()
adj_list[u].append(v)
adj_list[v].append(u)
elements = {v: set() for v in adj_list}
for set_no in range(q):
read_row()
for x in read_row():
elements[x].add(set_no)
root = next(iter(adj_list))
current = [root]
current_depth = 0
order = []
parent = {root: None}
depth = {root: current_depth}
while current:
current_depth += 1
order.extend(current)
nxt = []
for node in current:
for neighbor in adj_list[node]:
if neighbor not in parent:
parent[neighbor] = node
depth[neighbor] = current_depth
nxt.append(neighbor)
current = nxt
score = Counter()
state = {}
for node in reversed(order):
states = [state[neighbor] for neighbor in adj_list[node] if neighbor != parent[node]]
largest = {s: [depth[node], node, 0] for s in elements[node]}
if states:
max_index = max(range(len(states)), key=lambda x: len(states[x]))
if len(states[max_index]) > len(largest):
(states[max_index], largest) = (largest, states[max_index])
sets = defaultdict(list)
for cur_state in states:
for (set_no, v) in cur_state.items():
sets[set_no].append(v)
for (set_no, states) in sets.items():
if len(states) == 1 and set_no not in largest:
largest[set_no] = states[0]
continue
if set_no in largest:
states.append(largest.pop(set_no))
total_flow = 0
total_node_sum = 0
for (node_depth, node_sum, node_flow) in states:
flow_delta = mul(node_depth - depth[node], node_sum)
total_flow = add(total_flow, flow_delta, node_flow)
total_node_sum += node_sum
set_score = 0
for (node_depth, node_sum, node_flow) in states:
node_flow = add(mul(node_depth - depth[node], node_sum), node_flow)
diff = mul(sub(total_flow, node_flow), node_sum)
set_score = add(set_score, diff)
score[set_no] = add(score[set_no], set_score)
largest[set_no] = (depth[node], total_node_sum, total_flow)
state[node] = largest
print(*(score[i] for i in range(q)), sep='\n')
```
|
vfc_86088
|
{
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/kittys-calculations-on-a-tree/problem",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "7 3\n1 2\n1 3\n1 4\n3 5\n3 6\n3 7\n2\n2 4\n1\n5\n3\n2 4 5\n",
"output": "16\n0\n106\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/PLNTPATH
|
Solve the following coding problem using the programming language python:
In order to expand its reach to the outer universe and ensure universal peace, the [MIB] has decided to expand its offices.
Namely, it has established its office on N most important planets in the universe, with the base station on the planet S. Each office has an intergalactic teleporter that connects it to other planet offices. But the teleporters are bound to a planet's policy, so you cannot teleport to any planet you wish.
Due to intergalactic feuds, the planets are divided into K different alliances, numbered 1 through K. You know for each planet i, the alliance that it belongs to. In other words, you're given a sequence A_{1}, A_{2}, \dots, A_{n}, which says that planet i belongs to alliance A_{i}.
Each planet i has a policy of teleportation to the planets of other alliances:
Cost to travel from one planet to another is determined by the alliance of the destination planet. More formally, the cost to reach a planet which belongs to alliance j from planet i is represented as C_{i, j}.
Intra-alliance travel is free, i.e., if A_{i} = j, then C_{i, j} = 0.
For a planet i, there are some forbidden alliances as well. For these alliances, C_{i, j} = -1, given that alliance j is forbidden to travel from planet i.
As MIB is bound to follow the intergalactic rules and since they have limited funds (yes, the government is cheap everywhere), they have decided to find the most optimal way to travel to each of the planets from the base station at planet S. With all other agents busy with their missions, you are assigned the task to find these minimum-cost paths. This is your first task in MIB, so don't let them down!
------ Input Format ------
- The first line will consist of three space-separated integers N, K, and S (number of planets, number of alliances, and base planet).
- Second-line will consist of N space-separated integers representing A_{i}, the alliance corresponding to the i^{th} planet.
- Each of the next N lines will consist of K space-separated integers, where the j^{th} integer of the i^{th} line represents C_{i, j}, the cost to travel from planet i to alliance j.
------ Output Format ------
Print N space separated integers, the i^{th} integer representing the minimal cost to reach the i^{th} planet from the base station. For unreachable planets print -1.
------ Constraints ------
$1 ≤ N ≤ 2 * 10^{4}$
$1 ≤ K ≤ min(N, 1000)$
$N * K ≤ 2 * 10^{6}$
$1 ≤ A_{i} ≤ K$
$-1 ≤ C_{i,j} ≤ 10^{9}$
----- Sample Input 1 ------
5 3 4
1 3 1 2 2
0 5 -1
-1 4 0
0 3 -1
4 0 -1
4 0 3
----- Sample Output 1 ------
4 3 4 0 0
----- explanation 1 ------
- As $4$ and $5$ belong to the same component, the cost of traveling in-between is $0$.
- There are multiple shortest paths from $4$ to $1$. They are:
$4 \rightarrow 3 \rightarrow 1, 4 \rightarrow 5 \rightarrow 3 \rightarrow 1$, $4 \rightarrow 1$, etc. All of these have equal costs, that is $4$.
- Only path from $4$ to $2$ is $4 \rightarrow 5 \rightarrow 2$, which costs $3$ units.
- Similarly for node $3$, the cost is $4$ units.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import heapq
import math
import collections
(n, k, s) = map(int, input().split())
a = list(map(int, input().split()))
alliance = [list(map(int, input().split())) for _ in range(n)]
planet = collections.defaultdict(list)
for i in range(1, k + 1):
planet[i] = []
for (i, v) in enumerate(a):
planet[v].append(i)
heap = [(0, a[s - 1])]
heapq.heapify(heap)
ans = {}
visited = set()
while heap:
(dist, node) = heapq.heappop(heap)
if node in visited:
continue
ans[node] = dist
visited.add(node)
for i in planet[node]:
for (j, k) in enumerate(alliance[i]):
if j + 1 not in visited and k != -1:
heapq.heappush(heap, (k + dist, j + 1))
for i in planet:
if i not in visited:
ans[i] = -1
print(*[ans[v] for v in a])
```
|
vfc_86092
|
{
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/PLNTPATH",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 3 4\n1 3 1 2 2 \n0 5 -1 \n-1 4 0 \n0 3 -1 \n4 0 -1 \n4 0 3 \n",
"output": "4 3 4 0 0 \n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Radhika and Nandu decide to play a number game. Both play alternately, Rani playing the first move.
In each of their moves, they can subtract a maximum of k and a minimum of 1 from n i.e. each of them must subtract from n, any natural number less than or equal to k , and the new value of n will be the result of this subtraction.
They continue playing this game until the value of n becomes zero or negative. The person to play the last move loses the game.
Both are super-intelligent and hence both play optimally. Given the values of n and k, find out the winner of the game.
Input:
First line consists of t, the number of test case. The next t lines are such that each line consists of two space separated integers n and k.
Output:
Print the answer to each test case on a new line, 'Rani' if the winner of the game is Rani and 'Nandu' if the winner of the game is Nandu.
Constraints:
1 ≤ t ≤ 1000000
1 ≤ n ≤ 1000000.
1 ≤ k ≤ n.
SAMPLE INPUT
2
1 2
4 1
SAMPLE OUTPUT
Nandu
Rani
Explanation
For n=1 and k=2 1st move Rani : n = 1 - 1 = 0. Since, no more turn is possible and Radhika palyed the last move, she loses the game. So,the winner of the game is Nandu.
For n=4 and k=1 1st move Rani : n = 4 - 1 = 3, 2nd move Nandu : n = 3 - 1 = 2, third move Radhika n = 2 - 1 = 1 and last move Nandu n=1-1=0 Now, n has become zero/negative. So, the game is over. Since Nandu palyed the last move, he loses the game. So, the winner of the game is Radhika.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for _ in range(int(input())):
n, k = list(map(int, input().split()))
print("Nandu" if n % (k + 1) == 1 else "Rani")
```
|
vfc_86101
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
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"output": "Rani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nRani\nNandu\nRani\nNandu\nNandu\nRani\nRani\nRani\nRani\nNandu\nNandu\nRani\nRani\nNandu\nRani\nNandu\nNandu\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nNandu\nNandu\nNandu\nNandu\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nNandu\nNandu\nRani\nNandu\nRani",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1187/B
|
Solve the following coding problem using the programming language python:
The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop.
Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s.
There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount.
* For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead").
* For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead").
* For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead").
* For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead").
* For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead").
It is guaranteed that every friend can construct her/his name using the letters from the string s.
Note that the values for friends are independent, friends are only estimating them but not actually buying the letters.
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s.
The second line contains string s, consisting of exactly n lowercase Latin letters.
The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends.
The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend.
It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5.
Output
For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount.
It is guaranteed that every friend can construct her/his name using the letters from the string s.
Example
Input
9
arrayhead
5
arya
harry
ray
r
areahydra
Output
5
6
5
2
9
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import defaultdict
n = int(input())
s = input()
r = defaultdict(list)
for (i, c) in enumerate(s):
r[c].append(i)
m = int(input())
for i in range(m):
t = input()
ans = 0
pos = defaultdict(int)
for c in t:
pos[c] += 1
ans = max(ans, r[c][pos[c] - 1])
print(ans + 1)
```
|
vfc_86105
|
{
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1187/B",
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "100\nwjtwxtttttxjjwxtjtttwxjwjjwjxtwwxxwwwtwttwxjxxjxwxwjtjjwxxxxwwtwtxjxwtwtjjjxwjxjtwwwwtjtttjjtxtwtxjw\n10\nxwjxjwxtwwj\nwxjxxjxjx\nwtjxxxjxjxtwt\njwwxj\njtwjtxjxttxwtw\nwtwxjjjttjx\nwwwjtxw\ntjxjwtjwtw\ntjwtjjxtxjwt\nwxwtxtjw\n",
"output": "21\n29\n29\n12\n15\n17\n21\n14\n17\n14\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\nabcd\n3\na\nd\nac\n",
"output": "1\n4\n3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100\nwjtwxtttttxjjwxtjtttwxjwjjwjxtwwxxwwwtwttwxjxxjxwxwjtjjwxxxxwwtwtxjxwtwtjjjxwjxjtwwwwtjtttjjtxtwtxjw\n10\nxwjxjwxtwwj\nwxjxxjxjx\nwtjxxxjxjxtwt\njwwxj\njtwjtxjxttxwtw\nwtwxjjjttjx\nwwwjtxw\nwtwjtwjxjt\ntjwtjjxtxjwt\nwxwtxtjw\n",
"output": "21\n29\n29\n12\n15\n17\n21\n14\n17\n14\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\nacbd\n3\na\nd\nac\n",
"output": "1\n4\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9\narrayhead\n5\nayra\nharry\nray\nr\nareahydra\n",
"output": "5\n6\n5\n2\n9\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/584/E
|
Solve the following coding problem using the programming language python:
Anton loves transforming one permutation into another one by swapping elements for money, and Ira doesn't like paying for stupid games. Help them obtain the required permutation by paying as little money as possible.
More formally, we have two permutations, p and s of numbers from 1 to n. We can swap p_{i} and p_{j}, by paying |i - j| coins for it. Find and print the smallest number of coins required to obtain permutation s from permutation p. Also print the sequence of swap operations at which we obtain a solution.
-----Input-----
The first line contains a single number n (1 ≤ n ≤ 2000) — the length of the permutations.
The second line contains a sequence of n numbers from 1 to n — permutation p. Each number from 1 to n occurs exactly once in this line.
The third line contains a sequence of n numbers from 1 to n — permutation s. Each number from 1 to n occurs once in this line.
-----Output-----
In the first line print the minimum number of coins that you need to spend to transform permutation p into permutation s.
In the second line print number k (0 ≤ k ≤ 2·10^6) — the number of operations needed to get the solution.
In the next k lines print the operations. Each line must contain two numbers i and j (1 ≤ i, j ≤ n, i ≠ j), which means that you need to swap p_{i} and p_{j}.
It is guaranteed that the solution exists.
-----Examples-----
Input
4
4 2 1 3
3 2 4 1
Output
3
2
4 3
3 1
-----Note-----
In the first sample test we swap numbers on positions 3 and 4 and permutation p becomes 4 2 3 1. We pay |3 - 4| = 1 coins for that. On second turn we swap numbers on positions 1 and 3 and get permutation 3241 equal to s. We pay |3 - 1| = 2 coins for that. In total we pay three coins.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
c = {}
for i in range(n):
c[b[i]] = i
b = []
for i in range(n):
a[i] = c[a[i]]
print(sum((abs(a[i] - i) for i in range(n))) >> 1)
while True:
for i in range(n):
if a[i] < i:
for j in range(a[i], i):
if a[j] >= i:
(a[i], a[j]) = (a[j], a[i])
b += [(i + 1, j + 1)]
break
break
else:
break
print(len(b))
for e in b:
print(*e)
```
|
vfc_86110
|
{
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/584/E",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n4 2 1 3\n3 2 4 1\n",
"output": "3\n2\n3 4\n1 3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1\n1\n",
"output": "0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n1 2\n1 2\n",
"output": "0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n3 2 1\n1 3 2\n",
"output": "2\n2\n2 3\n1 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n4 5 2 6 3 1\n1 5 2 4 6 3\n",
"output": "5\n3\n5 6\n4 5\n1 4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n7 4 6 2 5 1 3\n7 5 6 1 3 2 4\n",
"output": "7\n5\n2 5\n5 6\n6 7\n4 5\n5 6\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/distinct-adjacent-element2121/1
|
Solve the following coding problem using the programming language python:
Given an array arr[] of size N, the task is to check whether it is possible to obtain an array having distinct neighboring elements by swapping two neighboring array elements.
Example 1:
Input: N = 3, arr[] = {1, 1, 2}
Output: YES
Explanation: Swap 1 (second last element)
and 2 (last element), to obtain 1 2 1,
which has distinct neighbouring elements.
Example 2:
Input: N = 4, arr[] = {7, 7, 7, 7}
Output: NO
Explanation: We can't swap to obtain
distinct elements in neighbor .
Your Task:
You don't need to read input or print anything. You just need to complete the function distinctAdjacentElement() that takes array arr[] and its size N as input parameters and returns a boolean value denoting if distinct neighbours are possible or not.
Note: The generated output is YES or NO according to the returned value.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(N).
Constraints:
2 ≤ N ≤ 10^{6}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def distinctAdjacentElement(self,arr, n):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import Counter
class Solution:
def distinctAdjacentElement(self, arr, n):
k = {}
kis = []
for i in arr:
if i not in k:
k[i] = 1
else:
k[i] += 1
for i in k:
kis.append(k[i])
m = max(kis)
if m <= (n + 1) // 2:
return 'YES'
```
|
vfc_86115
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/distinct-adjacent-element2121/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 3, arr[] = {1, 1, 2}",
"output": "YES",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 4, arr[] = {7, 7, 7, 7}",
"output": " NO",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1405/E
|
Solve the following coding problem using the programming language python:
Let a_1, …, a_n be an array of n positive integers. In one operation, you can choose an index i such that a_i = i, and remove a_i from the array (after the removal, the remaining parts are concatenated).
The weight of a is defined as the maximum number of elements you can remove.
You must answer q independent queries (x, y): after replacing the x first elements of a and the y last elements of a by n+1 (making them impossible to remove), what would be the weight of a?
Input
The first line contains two integers n and q (1 ≤ n, q ≤ 3 ⋅ 10^5) — the length of the array and the number of queries.
The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n) — elements of the array.
The i-th of the next q lines contains two integers x and y (x, y ≥ 0 and x+y < n).
Output
Print q lines, i-th line should contain a single integer — the answer to the i-th query.
Examples
Input
13 5
2 2 3 9 5 4 6 5 7 8 3 11 13
3 1
0 0
2 4
5 0
0 12
Output
5
11
6
1
0
Input
5 2
1 4 1 2 4
0 0
1 0
Output
2
0
Note
Explanation of the first query:
After making first x = 3 and last y = 1 elements impossible to remove, a becomes [×, ×, ×, 9, 5, 4, 6, 5, 7, 8, 3, 11, ×] (we represent 14 as × for clarity).
Here is a strategy that removes 5 elements (the element removed is colored in red):
* [×, ×, ×, 9, \color{red}{5}, 4, 6, 5, 7, 8, 3, 11, ×]
* [×, ×, ×, 9, 4, 6, 5, 7, 8, 3, \color{red}{11}, ×]
* [×, ×, ×, 9, 4, \color{red}{6}, 5, 7, 8, 3, ×]
* [×, ×, ×, 9, 4, 5, 7, \color{red}{8}, 3, ×]
* [×, ×, ×, 9, 4, 5, \color{red}{7}, 3, ×]
* [×, ×, ×, 9, 4, 5, 3, ×] (final state)
It is impossible to remove more than 5 elements, hence the weight is 5.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Fenwick:
def __init__(self, size):
self.size = size
self.tree = [0] * (size + 1)
def add(self, idx, val):
idx = int(idx)
while idx <= self.size:
self.tree[idx] += val
idx += idx & -idx
def sum(self, idx):
ret = 0
idx = int(idx)
while idx > 0:
ret += self.tree[idx]
idx -= idx & -idx
return ret
(n, q) = map(int, input().split())
A = [int(x) for x in input().split()]
A = [A[i] - (i + 1) for i in range(n)]
query = [[] for _ in range(n + 1)]
for i in range(q):
(x, y) = map(int, input().split())
(l, r) = (x, n - y - 1)
query[r].append((l, i))
ft = Fenwick(n + 1)
ans = [0 for _ in range(q + 3)]
for r in range(n):
ob = A[r]
if ob <= 0:
if ft.sum(1) >= -ob:
(low, high) = (0, r)
while low + 1 < high:
mid = low + high >> 1
if ft.sum(mid + 1) >= -ob:
low = mid
else:
high = mid
idx = high if ft.sum(high + 1) >= -ob else low
ft.add(1, 1)
ft.add(idx + 2, -1)
for qr in query[r]:
ans[qr[1]] = ft.sum(qr[0] + 1)
for _ in range(q):
print(ans[_])
```
|
vfc_86116
|
{
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1405/E",
"time_limit": "4.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 1\n1 1\n0 0\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\n1\n0 0\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/check-if-a-integer-is-power-of-8-or-not2537/1
|
Solve the following coding problem using the programming language python:
Given a positive integer N, The task is to find if it is a power of eight or not.
Example 1:
Input: 64
Output: Yes
Explanation: 64 is power of 8.
Example 2:
Input: 75
Output: No
Explanation: 75 is not a power of 8.
Your Task:
You don't need to read or print anything. your task is to complete the function is_power_of_eight() which takes N as the input parameter and returns "Yes" if N is power of eight otherwise returns "No"(Wihtout quotes).
Expected Time Complexity: O(log(N))
Expected Space Complexity: O(1)
Constraints:
1 <= N <= 10^{18}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def is_power_of_eight(self, n):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def is_power_of_eight(self, n):
(oc, zc) = (0, 0)
while n != 0:
if n & 1 == 0:
zc += 1
else:
oc += 1
n = n >> 1
if oc == 1 and zc % 3 == 0:
return 'Yes'
return 'No'
```
|
vfc_86120
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/check-if-a-integer-is-power-of-8-or-not2537/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "64",
"output": "Yes",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "75",
"output": "No",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Heading ##There are two integers A and B. You are required to compute the bitwise AND amongst all natural numbers lying between A and B, both inclusive.
Input Format
First line of the input contains T, the number of testcases to follow.
Each testcase in a newline contains A and B separated by a single space.
Constraints
1≤T≤200
0≤A≤B<232
Output Format
Output one line per test case with the required bitwise AND.
SAMPLE INPUT
3
12 15
2 3
8 13
SAMPLE OUTPUT
12
2
8
Explanation
1st Test Case : 12 & 13 & 14 & 15 = 12
2nd Test Case : 2 & 3 = 2
3rd Test Case : 8 & 9 & 10 & 11 & 12 & 13 = 8
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
'''
# Read input from stdin and provide input before running code
name = raw_input('What is your name?\n')
print 'Hi, %s.' % name
'''
#print 'Hello World!'
import sys
t = input()
t = int(t)
while (t > 0):
t = t -1
input = input()
n = int(input.split()[0])
m = int(input.split()[1])
ans = n
print(str(ans))
```
|
vfc_86121
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "50\n170459136 170524671\n40173568 40239103\n105250816 105316351\n104267776 104333311\n125566976 125632511\n227934208 227999743\n235012096 235077631\n206700544 206766079\n655360 720895\n234094592 234160127\n27525120 27590655\n239140864 239206399\n146669568 146735103\n230162432 230227967\n267255808 267321343\n10485760 10551295\n90505216 90570751\n236322816 236388351\n127729664 127795199\n149487616 149553151\n23658496 23724031\n231014400 231079935\n83755008 83820543\n4521984 4587519\n224919552 224985087\n96862208 96927743\n154533888 154599423\n120127488 120193023\n257228800 257294335\n233570304 233635839\n26214400 26279935\n48824320 48889855\n258867200 258932735\n254410752 254476287\n144703488 144769023\n44761088 44826623\n85655552 85721087\n150339584 150405119\n165412864 165478399\n87425024 87490559\n104267776 104333311\n153223168 153288703\n189530112 189595647\n7864320 7929855\n146866176 146931711\n203620352 203685887\n192806912 192872447\n39976960 40042495\n154402816 154468351\n89260032 89325567",
"output": "9355264\n7077888\n13795328\n5898240\n10436608\n6356992\n6995968\n12337152\n884736\n9043968\n8552448\n2605056\n16728064\n9306112\n3522560\n6176768\n6406144\n8568832\n16007168\n3145728\n8781824\n11452416\n10436608\n7831552\n6340608\n7405568\n2441216\n13369344\n14155776\n14991360\n5226496\n10747904\n10846208\n5603328\n16482304\n8667136\n3080192\n5783552\n229376\n2048000\n5554176\n4915200\n8798208\n4571136\n3850240\n6537216\n2621440\n8175616\n5439488\n12386304\n16449536\n14860288\n15745024\n13107200\n3227648\n9158656\n14073856\n3194880\n16039936",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "124\n1476395008 1493172223\n1275068416 1291845631\n4009754624 4026531839\n2516582400 2533359615\n50331648 67108863\n2566914048 2583691263\n2952790016 2969567231\n3892314112 3909091327\n3489660928 3506438143\n33554432 50331647\n1694498816 1711276031\n3623878656 3640655871\n1308622848 1325400063\n1426063360 1442840575\n2550136832 2566914047\n1627389952 1644167167\n3690987520 3707764735\n2030043136 2046820351\n1006632960 1023410175\n1912602624 1929379839\n805306368 822083583\n117440512 134217727\n2063597568 2080374783\n3774873600 3791650815\n3003121664 3019898879\n2919235584 2936012799\n2197815296 2214592511\n2969567232 2986344447\n1275068416 1291845631\n3707764736 3724541951\n2986344448 3003121663\n4076863488 4093640703\n3254779904 3271557119\n2801795072 2818572287\n2147483648 2164260863\n2147483648 2164260863\n3590324224 3607101439\n318767104 335544319\n1778384896 1795162111\n704643072 721420287\n3640655872 3657433087\n1392508928 1409286143\n2852126720 2868903935\n4143972352 4160749567\n83886080 100663295\n3607101440 3623878655\n2231369728 2248146943\n1728053248 1744830463\n1912602624 1929379839\n1006632960 1023410175\n2382364672 2399141887\n2600468480 2617245695\n1526726656 1543503871\n3405774848 3422552063\n1778384896 1795162111\n1291845632 1308622847\n385875968 402653183\n721420288 738197503\n1157627904 1174405119\n3942645760 3959422975\n1795162112 1811939327\n33554432 50331647\n1174405120 1191182335\n4110417920 4127195135\n973078528 989855743\n2483027968 2499805183\n2415919104 2432696319\n2650800128 2667577343\n1459617792 1476395007\n3238002688 3254779903\n2130706432 2147483647\n3640655872 3657433087\n335544320 352321535\n3539992576 3556769791\n3825205248 3841982463\n3573547008 3590324223\n3019898880 3036676095\n1962934272 1979711487\n2130706432 2147483647\n905969664 922746879\n2785017856 2801795071\n3657433088 3674210303\n234881024 251658239\n3875536896 3892314111\n1946157056 1962934271\n553648128 570425343\n1610612736 1627389951\n2214592512 2231369727\n2046820352 2063597567\n234881024 251658239\n3388997632 3405774847\n1258291200 1275068415\n3456106496 3472883711\n4143972352 4160749567\n973078528 989855743\n2499805184 2516582399\n4127195136 4143972351\n3657433088 3674210303\n3858759680 3875536895\n4026531840 4043309055\n2936012800 2952790015\n1778384896 1795162111\n1560281088 1577058303\n1728053248 1744830463\n2281701376 2298478591\n2785017856 2801795071\n3607101440 3623878655\n1577058304 1593835519\n1694498816 1711276031\n771751936 788529151\n1459617792 1476395007\n1644167168 1660944383\n2516582400 2533359615\n587202560 603979775\n1291845632 1308622847\n671088640 687865855\n503316480 520093695\n2164260864 2181038079\n2768240640 2785017855\n1677721600 1694498815\n2768240640 2785017855\n1426063360 1442840575\n2181038080 2197815295\n822083584 838860799",
"output": "12 \n2 \n8",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "81\n551124992 551129087\n2205057024 2205061119\n4204900352 4204904447\n2341777408 2341781503\n971116544 971120639\n1971425280 1971429375\n2574172160 2574176255\n3634294784 3634298879\n3074641920 3074646015\n2505687040 2505691135\n3824623616 3824627711\n312602624 312606719\n4191993856 4191997951\n1801621504 1801625599\n727842816 727846911\n2887520256 2887524351\n2965008384 2965012479\n130166784 130170879\n3063283712 3063287807\n974942208 974946303\n151785472 151789567\n3315060736 3315064831\n607043584 607047679\n842919936 842924031\n549707776 549711871\n1015558144 1015562239\n3952988160 3952992255\n3649171456 3649175551\n546496512 546500607\n3187011584 3187015679\n28962816 28966911\n224092160 224096255\n760012800 760016895\n2156093440 2156097535\n3983396864 3983400959\n1612738560 1612742655\n927322112 927326207\n2668310528 2668314623\n3319889920 3319894015\n657408000 657412095\n1902571520 1902575615\n2437660672 2437664767\n3805020160 3805024255\n4262723584 4262727679\n4144484352 4144488447\n1932922880 1932926975\n2535608320 2535612415\n3907411968 3907416063\n1389105152 1389109247\n2055303168 2055307263\n265392128 265396223\n3073138688 3073142783\n1972703232 1972707327\n3960741888 3960745983\n1915539456 1915543551\n1387044864 1387048959\n1790742528 1790746623\n3966676992 3966681087\n2197168128 2197172223\n1721774080 1721778175\n3642773504 3642777599\n2426195968 2426200063\n684040192 684044287\n4047433728 4047437823\n3617705984 3617710079\n3518025728 3518029823\n752021504 752025599\n3240005632 3240009727\n1538572288 1538576383\n1148952576 1148956671\n740327424 740331519\n696266752 696270847\n3741663232 3741667327\n2280386560 2280390655\n4206542848 4206546943\n3872428032 3872432127\n1668132864 1668136959\n116645888 116649983\n586137600 586141695\n2272591872 2272595967\n854806528 854810623",
"output": "551124992\n2205057024\n4204900352\n2341777408\n971116544\n1971425280\n2574172160\n3634294784\n3074641920\n2505687040\n3824623616\n312602624\n4191993856\n1801621504\n727842816\n2887520256\n2965008384\n130166784\n3063283712\n974942208\n151785472\n3315060736\n607043584\n842919936\n549707776\n1015558144\n3952988160\n3649171456\n546496512\n3187011584\n28962816\n224092160\n760012800\n2156093440\n3983396864\n1612738560\n927322112\n2668310528\n3319889920\n657408000\n1902571520\n2437660672\n3805020160\n4262723584\n4144484352\n1932922880\n2535608320\n3907411968\n1389105152\n2055303168\n265392128\n3073138688\n1972703232\n3960741888\n1915539456\n1387044864\n1790742528\n3966676992\n2197168128\n1721774080\n3642773504\n2426195968\n684040192\n4047433728\n3617705984\n3518025728\n752021504\n3240005632\n1538572288\n1148952576\n740327424\n696266752\n3741663232\n2280386560\n4206542848\n3872428032\n1668132864\n116645888\n586137600\n2272591872\n854806528",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 \n12 15 \n2 3 \n8 13",
"output": "1476395008\n1275068416\n4009754624\n2516582400\n50331648\n2566914048\n2952790016\n3892314112\n3489660928\n33554432\n1694498816\n3623878656\n1308622848\n1426063360\n2550136832\n1627389952\n3690987520\n2030043136\n1006632960\n1912602624\n805306368\n117440512\n2063597568\n3774873600\n3003121664\n2919235584\n2197815296\n2969567232\n1275068416\n3707764736\n2986344448\n4076863488\n3254779904\n2801795072\n2147483648\n2147483648\n3590324224\n318767104\n1778384896\n704643072\n3640655872\n1392508928\n2852126720\n4143972352\n83886080\n3607101440\n2231369728\n1728053248\n1912602624\n1006632960\n2382364672\n2600468480\n1526726656\n3405774848\n1778384896\n1291845632\n385875968\n721420288\n1157627904\n3942645760\n1795162112\n33554432\n1174405120\n4110417920\n973078528\n2483027968\n2415919104\n2650800128\n1459617792\n3238002688\n2130706432\n3640655872\n335544320\n3539992576\n3825205248\n3573547008\n3019898880\n1962934272\n2130706432\n905969664\n2785017856\n3657433088\n234881024\n3875536896\n1946157056\n553648128\n1610612736\n2214592512\n2046820352\n234881024\n3388997632\n1258291200\n3456106496\n4143972352\n973078528\n2499805184\n4127195136\n3657433088\n3858759680\n4026531840\n2936012800\n1778384896\n1560281088\n1728053248\n2281701376\n2785017856\n3607101440\n1577058304\n1694498816\n771751936\n1459617792\n1644167168\n2516582400\n587202560\n1291845632\n671088640\n503316480\n2164260864\n2768240640\n1677721600\n2768240640\n1426063360\n2181038080\n822083584",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "59\n9355264 9371647\n7077888 7094271\n13795328 13811711\n5898240 5914623\n10436608 10452991\n6356992 6373375\n6995968 7012351\n12337152 12353535\n884736 901119\n9043968 9060351\n8552448 8568831\n2605056 2621439\n16728064 16744447\n9306112 9322495\n3522560 3538943\n6176768 6193151\n6406144 6422527\n8568832 8585215\n16007168 16023551\n3145728 3162111\n8781824 8798207\n11452416 11468799\n10436608 10452991\n7831552 7847935\n6340608 6356991\n7405568 7421951\n2441216 2457599\n13369344 13385727\n14155776 14172159\n14991360 15007743\n5226496 5242879\n10747904 10764287\n10846208 10862591\n5603328 5619711\n16482304 16498687\n8667136 8683519\n3080192 3096575\n5783552 5799935\n229376 245759\n2048000 2064383\n5554176 5570559\n4915200 4931583\n8798208 8814591\n4571136 4587519\n3850240 3866623\n6537216 6553599\n2621440 2637823\n8175616 8191999\n5439488 5455871\n12386304 12402687\n16449536 16465919\n14860288 14876671\n15745024 15761407\n13107200 13123583\n3227648 3244031\n9158656 9175039\n14073856 14090239\n3194880 3211263\n16039936 16056319",
"output": "170459136\n40173568\n105250816\n104267776\n125566976\n227934208\n235012096\n206700544\n655360\n234094592\n27525120\n239140864\n146669568\n230162432\n267255808\n10485760\n90505216\n236322816\n127729664\n149487616\n23658496\n231014400\n83755008\n4521984\n224919552\n96862208\n154533888\n120127488\n257228800\n233570304\n26214400\n48824320\n258867200\n254410752\n144703488\n44761088\n85655552\n150339584\n165412864\n87425024\n104267776\n153223168\n189530112\n7864320\n146866176\n203620352\n192806912\n39976960\n154402816\n89260032",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/WGHTS
|
Solve the following coding problem using the programming language python:
Chef is playing with weights. He has an object weighing W units. He also has three weights each of X, Y, and Z units respectively. Help him determine whether he can measure the exact weight of the object with one or more of these weights.
If it is possible to measure the weight of object with one or more of these weights, print YES, otherwise print NO.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of single line containing a four positive integers W, X, Y, and Z.
------ Output Format ------
For each test case, output on a new line YES if it is possible to measure the weight of object with one or more of these weights, otherwise print NO.
You may print each character of the string in either uppercase or lowercase (for example, the strings yes, YES, Yes, and yeS will all be treated as identical).
------ Constraints ------
$1 ≤ T ≤ 10^{4}$
$1 ≤ W, X, Y, Z ≤ 10^{5}$
----- Sample Input 1 ------
4
5 2 1 6
7 9 7 2
20 8 10 12
20 10 11 12
----- Sample Output 1 ------
NO
YES
YES
NO
----- explanation 1 ------
Test Case $1$: It is not possible to measure $5$ units using any combination of given weights.
Test Case $2$: Chef can use the second weight of $7$ units to measure the object exactly.
Test Case $3$: Chef can use combination of first and third weights to measure $8+12=20$ units.
Test Case $4$: Chef cannot measure $20$ units of weight using any combination of given weights.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for _ in range(int(input())):
(w, x, y, z) = map(int, input().split())
if w == x or w == y or w == z:
print('YES')
elif x + y + z == w or x + y == w or y + z == w or (x + z == w):
print('YES')
else:
print('NO')
```
|
vfc_86125
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/WGHTS",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n5 2 1 6\n7 9 7 2\n20 8 10 12\n20 10 11 12\n",
"output": "NO\nYES\nYES\nNO\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/429/C
|
Solve the following coding problem using the programming language python:
Iahub and Iahubina went to a picnic in a forest full of trees. Less than 5 minutes passed before Iahub remembered of trees from programming. Moreover, he invented a new problem and Iahubina has to solve it, otherwise Iahub won't give her the food.
Iahub asks Iahubina: can you build a rooted tree, such that
each internal node (a node with at least one son) has at least two sons; node i has c_{i} nodes in its subtree?
Iahubina has to guess the tree. Being a smart girl, she realized that it's possible no tree can follow Iahub's restrictions. In this way, Iahub will eat all the food. You need to help Iahubina: determine if there's at least one tree following Iahub's restrictions. The required tree must contain n nodes.
-----Input-----
The first line of the input contains integer n (1 ≤ n ≤ 24). Next line contains n positive integers: the i-th number represents c_{i} (1 ≤ c_{i} ≤ n).
-----Output-----
Output on the first line "YES" (without quotes) if there exist at least one tree following Iahub's restrictions, otherwise output "NO" (without quotes).
-----Examples-----
Input
4
1 1 1 4
Output
YES
Input
5
1 1 5 2 1
Output
NO
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def DFS(x):
for i in range(x):
if Seen[i][x]:
continue
if Rem[i] >= C[x]:
if Rem[i] == C[x] and len(Children[i]) == 0:
continue
Rem[i] -= C[x]
Parent[x] = i
Children[i].append(x)
return True
for i in range(x):
if Seen[i][x]:
continue
Y = []
for j in range(len(Children[i])):
child = Children[i][j]
if Seen[i][child]:
continue
Parent[child] = -1
Rem[i] += C[child]
Seen[i][child] = True
Seen[child][i] = True
if DFS(child):
Seen[i][child] = False
Seen[child][i] = False
continue
Seen[i][child] = False
Seen[child][i] = False
Parent[child] = i
Rem[i] -= C[child]
Y.append(child)
Children[i] = list(Y)
if Rem[i] >= C[x]:
if Rem[i] == C[x] and len(Children[i]) == 0:
continue
Rem[i] -= C[x]
Children[i].append(x)
Parent[x] = i
return True
return False
n = int(input())
C = list(map(int, input().split()))
Rem = [-1] * n
Parent = [-1] * n
Children = []
Seen = []
for i in range(n):
Seen.append([False] * n)
C.sort(reverse=True)
if C[0] != n or C.count(2) > 0:
print('NO')
else:
for i in range(n):
Rem[i] = C[i] - 1
Children.append([])
Parent[0] = 0
Ans = 'YES'
for i in range(1, n):
if DFS(i) == False:
Ans = 'NO'
break
for i in range(n):
if Rem[i] != 0 and C[i] != 1:
Ans = 'NO'
break
print(Ans)
```
|
vfc_86129
|
{
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/429/C",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n1 1 1 4\n",
"output": "YES",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n1 1 5 2 1\n",
"output": "NO",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/palindrome0746/1
|
Solve the following coding problem using the programming language python:
Given an integer, check whether it is a palindrome or not.
Example 1:
Input: n = 555
Output: Yes
Example 2:
Input: n = 123
Output: No
Your Task:
You don't need to read or print anything. Your task is to complete the function is_palindrome() which takes the number as input parameter and returns "Yes" if it is palindrome otherwise returns "No"(Without quotes).
Expected Time Complexity: O(x)
Expected Space Complexity: O(x) where x is number of digits in n.
Constraints:
1 <= n <= 1000
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def is_palindrome(self, n):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def is_palindrome(self, n):
self.n = n
n = str(n)
strait = n.strip()
reverse = strait[::-1]
n = int(n)
if strait == reverse:
return 'Yes'
else:
return 'No'
```
|
vfc_86133
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/palindrome0746/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "n = 555",
"output": "Yes",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "n = 123",
"output": "No",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/multiply-two-linked-lists/1
|
Solve the following coding problem using the programming language python:
Given elements as nodes of the two linked lists. The task is to multiply these two linked lists, say L_{1} and L_{2}.
Note: The output could be large take modulo 10^{9}+7.
Example:
Input:
2
2
3 2
1
2
3
1 0 0
2
1 0
Output:
64
1000
Explanation:
Testcase 1: 32*2 = 64.
Testcase 2: 100*10 = 1000.
Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow, the first line of each test case contains an integer N denoting the size of the first linked list (L1). In the next line are the space-separated values of the first linked list. The third line of each test case contains an integer M denoting the size of the second linked list (L2). In the fourth line is space-separated values of the second linked list.
Output:
For each test case output will be an integer denoting the product of the two linked lists.
Your Task:
The task is to complete the function multiplyTwoLists() which should multiply the given two linked lists and return the result.
Constraints:
1 <= T <= 100
1 <= N, M <= 100
Write your solution by modifying this code:
```python
MOD = 10**9+7
# your task is to complete this function
# Function should return an integer value
# head1 denotes head node of 1st list
# head2 denotes head node of 2nd list
'''
class node:
def __init__(self):
self.data = None
self.next = None
'''
def multiplyTwoList(head1, head2):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
MOD = 10 ** 9 + 7
def multiplyTwoList(head1, head2):
no_1 = ''
no_2 = ''
i = head1
while i:
no_1 += str(i.data)
i = i.next
j = head2
while j:
no_2 += str(j.data)
j = j.next
ans = int(no_1) * int(no_2)
ans = str(ans % (10 ** 9 + 7))
return ans
```
|
vfc_86134
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/multiply-two-linked-lists/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\r\n2\r\n3 2\r\n1\r\n2\r\n3\r\n1 0 0\r\n2\r\n1 0",
"output": "64\r\n1000",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/PBK02020/problems/ITGUY11
|
Solve the following coding problem using the programming language python:
For Diwali, Chef arranges all $K$ laddus in a row in his sweet shop. Whenever a customer comes to buy laddus, chef follows a rule that each customer must buy all laddus on odd position. After the selection of the laddu, a new row is formed, and again out of these only laddus on odd position are selected. This continues until the chef left with the last laddu. Find out the position of that last laddu in the original row.
-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow.
- Each testcase contains of a single line of input, one integer $K$.
-----Output:-----
For each testcase, print the position of that laddu who is left, in the original row.
-----Constraints-----
- $1 \leq T \leq 10^5$
- $1 \leq K \leq 10^5$
-----Sample Input:-----
3
1
5
8
-----Sample Output:-----
1
4
8
-----EXPLANATION:-----
For 1) Only one laddu which is last so print 1.
For 2) Customer 1: [1, 3, 5]
New row = [2, 4]
Customer 2: [2]
Last laddu = 4
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
t = int(input())
while t > 0:
n = int(input())
if n == 1:
print(1)
else:
(c, num) = (1, 2)
while num < n:
num *= 2
if num == n:
print(num)
else:
print(num // 2)
t -= 1
```
|
vfc_86136
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/PBK02020/problems/ITGUY11",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n1\n5\n8\n",
"output": "1\n4\n8\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/CMR12121/problems/DGLST
|
Solve the following coding problem using the programming language python:
Given a number n. Find the last two digits of 5 ^ n ( 5 to the power of n ).
Remember that overflow can occur.
-----Input:-----
- N — the power in which you need to raise number 5.
-----Output:-----
Last two digits of 5^n.
-----Constraints-----
- $2 \leq N \leq 2.1018$
-----Sample Input:-----
2
-----Sample Output:-----
25
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
print(25)
```
|
vfc_86140
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/CMR12121/problems/DGLST",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n",
"output": "25\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Little chandu is very fond of playing games. Recently, He found a few straws each of length 1 inches in the store room. He took all of them and decided to mark a rectangular area on the floor with straws and warn rest of the family members to not to enter that area so that he can play in peace. He wants to maximize that area. But, unable to do so, He seeks for your help. You being the elder brother of chandu, write a program for him to find maximum area that he can cover in inches using N straws.
Input:
First line of input contains an integer t. then, t lines follow each containing a single integer N - No of straws.
Output:
Print the area of largest rectangle that can be formed using the given sticks.
Constraints:
0 ≤ t ≤ 25000
1 ≤ N ≤ 10^{10}
SAMPLE INPUT
3
6
9
11
SAMPLE OUTPUT
2
4
6
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
a=int(input())
for i in range(a):
n=int(input())
#print 'n is %d' % n
flag='N'
l=n/4
#print 'l is %d' % l
x=(n-2)/4
b=x+1
#print 'x is %d ' % x
#print 'printing %s' % (2*x+2*b)
if 2*x+2*b <= n and x*b > l*l:
flag='Y'
#print 'flag is set'
if flag =='Y':
print(x*b)
else:
print(l*l)
```
|
vfc_86144
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": 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"output": 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"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100\n1207244\n255313\n56\n83269\n638451\n347617\n29369\n233941\n61\n7937\n85\n6\n80\n2485\n7\n6394\n92\n80883\n278\n14467\n9\n7\n2018983\n2607\n916\n18515\n3600328\n1\n1\n11995\n743468\n3403\n507\n149\n36\n38208\n47423\n974\n81\n494913\n192\n85\n9\n8492427\n655\n9912940\n40843\n4716\n46470\n435483\n26548\n8\n9762\n346\n3718\n75600\n7343\n5965\n54811\n67237\n746552\n36\n8979\n81771\n7\n51885\n652\n383899\n596\n6\n98\n4863286\n3509\n27\n7\n220578\n26441\n4\n6512222\n679\n1\n4190\n4656091\n7\n5\n2963\n9659536\n682\n10920\n59\n6150025\n75\n24638\n932\n2760\n6010581\n4276\n5112517\n90\n6\n",
"output": "91089879721\n4074013584\n196\n433347489\n25476150156\n7552305216\n53904964\n3420495225\n225\n3936256\n441\n2\n400\n385641\n2\n2555202\n529\n408868620\n4830\n13079072\n4\n2\n254768019770\n424452\n52441\n21423012\n810147606724\n0\n0\n8991002\n34546541689\n723350\n16002\n1369\n81\n91240704\n140552880\n59292\n400\n15308617984\n2304\n441\n4\n4507581210342\n26732\n6141648715225\n104254310\n1390041\n134966306\n11852785770\n44049769\n4\n5956040\n7482\n863970\n357210000\n3369060\n2223081\n187758506\n282542481\n34833743044\n81\n5037780\n417895806\n2\n168246841\n26569\n9211104650\n22201\n2\n600\n1478221919862\n769129\n42\n2\n3040915880\n43692100\n1\n2650564711080\n28730\n0\n1097256\n1354948380506\n2\n1\n548340\n5831664733456\n29070\n7452900\n210\n2363924700036\n342\n37939440\n54289\n476100\n2257941996025\n1142761\n1633613740641\n506\n2\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/candy/1
|
Solve the following coding problem using the programming language python:
There are N children standing in a line. Each child is assigned a rating value given in the integer array ratings.
You are giving candies to these children subjected to the following requirements:
Each child must have atleast one candy.
Children with a higher rating get more candies than neighbors.
Return the minimum number of candies you need to have to distribute the candies to the children.
Example 1:
Input:
N = 3
ratings [ ] = {1, 0, 2}
Output: 5
Explanation:
You can allocate to the first, second and third child with 2, 1, 2 candies respectively.
Example 2:
Input:
N = 3
ratings [ ] = {1, 2, 2}
Output: 4
Explanation:
You can allocate to the first, second and third child with 1, 2, 1 candies respectively.
The third child gets 1 candy because it statisfies the above two conditions.
Your Task:
You don't need to read input or print anything. Your task is to complete the function minCandy() which takes the interger N and integer array ratings[ ] as parameters and returns the minimum number of candies you need to have to distribute the candies to the children.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)
Constraints:
1 ≤ N ≤ 5*10^{4}
0 ≤ ratings_{i} ≤ 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def minCandy(self, N, ratings):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def minCandy(self, N, ratings):
L = [1] * len(ratings)
R = [1] * len(ratings)
for i in range(1, len(ratings)):
if ratings[i] > ratings[i - 1]:
L[i] += L[i - 1]
for i in range(len(ratings) - 2, -1, -1):
if ratings[i] > ratings[i + 1]:
R[i] += R[i + 1]
cnd = 0
for i in range(len(ratings)):
cnd += max(L[i], R[i])
return cnd
```
|
vfc_86148
|
{
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/candy/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 3\r\n\r\nratings [ ] = {1, 0, 2}",
"output": "5",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 3\r\n\r\nratings [ ] = {1, 2, 2}",
"output": "4",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/ONP
|
Solve the following coding problem using the programming language python:
Reverse Polish Notation (RPN) is a mathematical notation where every operator follows all of its operands. For instance, to add three and four, one would write "3 4 +" rather than "3 + 4". If there are multiple operations, the operator is given immediately after its second operand; so the expression written "3 − 4 + 5" would be written "3 4 − 5 +" first subtract 4 from 3, then add 5 to that.
Transform the algebraic expression with brackets into RPN form.
You can assume that for the test cases below only single letters will be used, brackets [] will not be used and each expression has only one RPN form (no expressions like a*b*c)
----- Sample Input 1 ------
3
(a+(b*c))
((a+b)*(z+x))
((a+t)*((b+(a+c))^(c+d)))
----- Sample Output 1 ------
abc*+
ab+zx+*
at+bac++cd+^*
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def main(string):
stack = []
s = ''
for _ in string:
if ord(_) in range(97, 123):
s += _
elif _ == ')':
if stack != []:
s += stack[-1]
del stack[-1]
elif _ == '(':
continue
else:
stack.append(_)
print(s)
for _ in range(int(input())):
t = str(input())
main(t)
```
|
vfc_86149
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/ONP",
"time_limit": "2.495 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n(a+(b*c))\n((a+b)*(z+x))\n((a+t)*((b+(a+c))^(c+d)))\n",
"output": "abc*+\nab+zx+*\nat+bac++cd+^*\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/625/D
|
Solve the following coding problem using the programming language python:
Vitya is studying in the third grade. During the last math lesson all the pupils wrote on arithmetic quiz. Vitya is a clever boy, so he managed to finish all the tasks pretty fast and Oksana Fillipovna gave him a new one, that is much harder.
Let's denote a flip operation of an integer as follows: number is considered in decimal notation and then reverted. If there are any leading zeroes afterwards, they are thrown away. For example, if we flip 123 the result is the integer 321, but flipping 130 we obtain 31, and by flipping 31 we come to 13.
Oksana Fillipovna picked some number a without leading zeroes, and flipped it to get number ar. Then she summed a and ar, and told Vitya the resulting value n. His goal is to find any valid a.
As Oksana Fillipovna picked some small integers as a and ar, Vitya managed to find the answer pretty fast and became interested in finding some general algorithm to deal with this problem. Now, he wants you to write the program that for given n finds any a without leading zeroes, such that a + ar = n or determine that such a doesn't exist.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 10100 000).
Output
If there is no such positive integer a without leading zeroes that a + ar = n then print 0. Otherwise, print any valid a. If there are many possible answers, you are allowed to pick any.
Examples
Input
4
Output
2
Input
11
Output
10
Input
5
Output
0
Input
33
Output
21
Note
In the first sample 4 = 2 + 2, a = 2 is the only possibility.
In the second sample 11 = 10 + 1, a = 10 — the only valid solution. Note, that a = 01 is incorrect, because a can't have leading zeroes.
It's easy to check that there is no suitable a in the third sample.
In the fourth sample 33 = 30 + 3 = 12 + 21, so there are three possibilities for a: a = 30, a = 12, a = 21. Any of these is considered to be correct answer.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def digits(n):
rd = []
while n:
(n, d) = divmod(n, 10)
rd.append(d)
return list(reversed(rd))
def _ifs(dn, i, j, ci, cj, al, ar):
while i < j:
di = dn[i] + 10 * ci
dj = dn[j] - cj
for (ci, cj) in ((0, 0), (0, 1), (1, 0), (1, 1)):
d = di - ci
if d < 0 or d > 18:
continue
if dj + 10 * cj == d:
if d < 10:
if d == 0 and (not al):
return
al.append(d)
ar.append(0)
else:
al.append(9)
ar.append(d - 9)
break
else:
return
i += 1
j -= 1
if i == j:
d = dn[i] + 10 * ci - cj
if d < 0 or d % 2:
return
al.append(d // 2)
elif ci != cj:
return
return al + list(reversed(ar))
def inv_fsum(dn):
if dn[0] == 1:
return _ifs(dn, 0, len(dn) - 1, 0, 0, [], []) or _ifs(dn, 1, len(dn) - 1, 1, 0, [], []) or [0]
else:
return _ifs(dn, 0, len(dn) - 1, 0, 0, [], []) or [0]
dn = tuple(map(int, input()))
print(''.join(map(str, inv_fsum(dn))))
```
|
vfc_86153
|
{
"difficulty": "very_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/625/D",
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "110401\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1738464936\n",
"output": "869281968",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9009890098\n",
"output": "4555444544",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "189108\n",
"output": "95049",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9012332098\n",
"output": "4556665544",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/CHCOINSG
|
Solve the following coding problem using the programming language python:
Read problems statements in Mandarin Chinese, Russian and Vietnamese as well.
Chef is playing a game with his friend Misha. They have a pile containg N coins. Players take alternate turns, removing some coins from the pile. On each turn, a player can remove either one coin or coins equal to some prime power (i.e. p^{x} coins, where p - prime number and x - positive integer). Game ends when the pile becomes empty. The player who can not make a move in his turn loses.
Chef plays first. Your task is to find out who will win the game, provided that both of the player play optimally.
------ 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 one integer N.
------ Output ------
For each test case, output a single line containing one word - the name of the winner of the game. Print "Chef" (without quotes) if Chef wins the game, print "Misha" (without quotes) otherwise.
------ Constraints ------
$1 ≤ T ≤ 1000$
$1 ≤ N ≤ 10^{9}$
------ Subtasks ------
Subtask #1 (20 points):
$1 ≤ N ≤ 10$
Subtask #2 (30 points):
$1 ≤ N ≤ 10^{4}$
Subtask #3 (50 points): No additional constraints.
----- Sample Input 1 ------
2
1
8
----- Sample Output 1 ------
Chef
Chef
----- explanation 1 ------
Example case 1. Chef will remove the only coin from the pile and will win the game.
Example case 2. Chef will remove all 8 coins from the pile and win the game. Chef can remove 8 coins because 8 is a prime power, as 8 = 23.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for i in range(int(input())):
t = int(input())
if t % 6 == 0:
print('Misha')
else:
print('Chef')
```
|
vfc_86157
|
{
"difficulty": "medium",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CHCOINSG",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n1\n8",
"output": "Chef\nChef",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n0\n8",
"output": "Misha\nChef\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n0\n6",
"output": "Misha\nMisha\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n-1\n1",
"output": "Chef\nChef\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n-4\n0",
"output": "Chef\nMisha\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1213/C
|
Solve the following coding problem using the programming language python:
Polycarp is reading a book consisting of $n$ pages numbered from $1$ to $n$. Every time he finishes the page with the number divisible by $m$, he writes down the last digit of this page number. For example, if $n=15$ and $m=5$, pages divisible by $m$ are $5, 10, 15$. Their last digits are $5, 0, 5$ correspondingly, their sum is $10$.
Your task is to calculate the sum of all digits Polycarp has written down.
You have to answer $q$ independent queries.
-----Input-----
The first line of the input contains one integer $q$ ($1 \le q \le 1000$) — the number of queries.
The following $q$ lines contain queries, one per line. Each query is given as two integers $n$ and $m$ ($1 \le n, m \le 10^{16}$) — the number of pages in the book and required divisor, respectively.
-----Output-----
For each query print the answer for it — the sum of digits written down by Polycarp.
-----Example-----
Input
7
1 1
10 1
100 3
1024 14
998244353 1337
123 144
1234312817382646 13
Output
1
45
153
294
3359835
0
427262129093995
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for i in range(int(input())):
(n, m) = list(map(int, input().split()))
l = [m % 10]
for i in range(9):
l.append((l[-1] + m % 10) % 10)
a = n // m
b = a // 10
ans = b * sum(l)
for i in range(a % 10):
ans += l[i]
print(ans)
```
|
vfc_86161
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1213/C",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "7\n1 1\n10 1\n100 3\n1024 14\n998244353 1337\n123 144\n1234312817382646 13\n",
"output": "1\n45\n153\n294\n3359835\n0\n427262129093995\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n1 1\n10 2\n100 3\n1024 14\n998244353 1337\n123 144\n1234312817382646 13\n",
"output": "1\n20\n153\n294\n3359835\n0\n427262129093995\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n1 1\n10 2\n100 3\n1024 14\n998244353 1337\n123 144\n1234312817382646 16\n",
"output": "1\n20\n153\n294\n3359835\n0\n308578204345660\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n1 1\n10 2\n100 3\n1024 14\n998244353 1337\n123 144\n1234312817382646 10\n",
"output": "1\n20\n153\n294\n3359835\n0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n1 1\n10 2\n100 4\n1024 14\n998244353 1337\n123 144\n1234312817382646 10\n",
"output": "1\n20\n100\n294\n3359835\n0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n1 1\n10 2\n100 4\n1024 20\n998244353 1337\n123 144\n1234312817382646 10\n",
"output": "1\n20\n100\n0\n3359835\n0\n0\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/poisioned-sweet2651/1
|
Solve the following coding problem using the programming language python:
An enemy spy has poisoned one out of N sweets in a bakery. Even a bite of the poisoned sweet has potency to kill. However, the effects of the poison show only in 30 days. The managers asks the jailor to identify the poisoned sweet within 30 days. What is the least number of prisoners the jailor must employ to identify the poisoned sweet?
Note: A sweet can be eaten by any number of prisoners.
Example 1:
Input:
N = 3
Output:
2
Explanation:
The poison can be identified using
only 2 prisoners.
Example 2:
Input:
N = 2
Output:
1
Explanation:
The poison can be identified using
only 1 prisoner.
Your Task:
You don't need to read input or print anything. Your task is to complete the function numOfPrisoners() which takes an Integer N as input and returns the minimum number of prisoners required to identify the poisoned sweet.
Expected Time Complexity: O(log(N))
Expected Auxiliary Space: O(1)
Constraints:
1 <= N <= 10^{9}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def numOfPrisoners(self, N):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def numOfPrisoners(self, N):
if N == 1:
return 0
c = int(math.log2(N))
if 2 ** c < N:
c += 1
return c
```
|
vfc_86165
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/poisioned-sweet2651/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 3",
"output": "2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 2",
"output": "1",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
In Manhattan, roads run where the x or y coordinate is an integer. Both Sunuke-kun's house and Sumeke-kun's house are on the road, and the straight line distance (Euclidean distance) is just d. Find the maximum value that can be considered as the shortest distance when traveling along the road from Sunuke-kun's house to Sumek-kun's house.
Constraints
* 0 <d ≤ 10
* d is given up to exactly three decimal places
Input
d
Output
Print the answer on one line. If the absolute error or relative error is 10-9 or less, the answer is judged to be correct.
Examples
Input
1.000
Output
2.000000000000
Input
2.345
Output
3.316330803765
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
d = float(input())
ans = max(2 ** 0.5 * d, int(d) + 1)
print(ans)
```
|
vfc_86166
|
{
"difficulty": "unknown_difficulty",
"memory_limit": "268.435456 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1.6623460269048462",
"output": "2.3509122966\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://www.hackerrank.com/challenges/surveillance/problem
|
Solve the following coding problem using the programming language python:
The Academy is a school where each common area is laid out on an $m\times n$ grid and each cell in the grid is $\mbox{1}$ meter by $\mbox{1}$ meter. Danielle is their new head of security, and she wants to place a surveillance camera along every square meter of each common area. Because the school doesn't have enough money in their security budget to do this, she decides to further restrict camera placement according to the following rules:
Each cell can contain at most $\mbox{1}$ camera.
Every $3\times3$ subgrid of a common area must have exactly $2$ cameras.
Given the values of $m$ and $n$ for $\textbf{c}$ common areas, determine the number of ways Danielle can install cameras in each common area according to the rules above. Then, for each common area, print the number of ways she can install these cameras on a new line. As these values may be quite large, your answer must be modulo $10^9+7$.
Input Format
The first line contains an integer, $\textbf{c}$, denoting the number of common areas to install cameras in.
Each line $\boldsymbol{i}$ of the $\textbf{c}$ subsequent lines contains two space-separated integers describing the respective values of $m$ and $n$ for a common area's grid.
Constraints
For $20\%$ of the maximum score:
$1\leq c\leq10$
$3\leq m,n\leq15$
For $50\%$ of the maximum score:
$1\leq c\leq100$
$3\leq m,n\leq50$
For $100\%$ of the maximum score:
$1\leq c\leq10^5$
$3\leq m,n\leq1000$
Output Format
For each common area, print an integer denoting the number of ways Danielle can install the cameras according to the given rules, modulo $10^9+7$, on a new line.
Sample Input 0
2
3 3
3 4
Sample Output 0
36
78
Explanation 0
The diagram below depicts the number of ways to place cameras in a $3\times4$ grid:
As there are $78$ ways to place cameras in this common area, we print the result of $78~\text{mod}~(10^9+7)=78$ on a new line.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def modexp(b, e, m):
rv = 1
bb = b
ee = e
while ee > 0:
if ee & 1 == 1:
rv = rv * bb % m
bb = bb * bb % m
ee >>= 1
return rv
def count(n, m):
n1 = (n + 2) // 3
n2 = (n + 1) // 3
n3 = (n + 0) // 3
m1 = (m + 2) // 3
m2 = (m + 1) // 3
m3 = (m + 0) // 3
q = 1000000007
e2_n1 = modexp(2, n1, q)
e2_n2 = modexp(2, n2, q)
e2_n3 = modexp(2, n3, q)
e2_m1 = modexp(2, m1, q)
e2_m2 = modexp(2, m2, q)
e2_m3 = modexp(2, m3, q)
e3_n1 = modexp(3, n1, q)
e3_n2 = modexp(3, n2, q)
e3_n3 = modexp(3, n3, q)
e3_m1 = modexp(3, m1, q)
e3_m2 = modexp(3, m2, q)
e3_m3 = modexp(3, m3, q)
rv = 36
rv = (rv + (e3_n1 - 3) * 6) % q
rv = (rv + (e3_n2 - 3) * 6) % q
rv = (rv + (e3_n3 - 3) * 6) % q
rv = (rv + (e2_n1 - 2) * 3) % q
rv = (rv + (e2_n2 - 2) * 3) % q
rv = (rv + (e2_n3 - 2) * 3) % q
rv = (rv + (e3_m1 - 3) * 6) % q
rv = (rv + (e3_m2 - 3) * 6) % q
rv = (rv + (e3_m3 - 3) * 6) % q
rv = (rv + (e2_m1 - 2) * 3) % q
rv = (rv + (e2_m2 - 2) * 3) % q
rv = (rv + (e2_m3 - 2) * 3) % q
rv = (rv + (e3_n1 - 3 * e2_n1 + 3)) % q
rv = (rv + (e3_n2 - 3 * e2_n2 + 3)) % q
rv = (rv + (e3_n3 - 3 * e2_n3 + 3)) % q
rv = (rv + (e3_n1 - 3) * (e3_n2 - 3)) % q
rv = (rv + (e3_n1 - 3) * (e3_n3 - 3)) % q
rv = (rv + (e3_n2 - 3) * (e3_n3 - 3)) % q
rv = (rv + (e3_m1 - 3 * e2_m1 + 3)) % q
rv = (rv + (e3_m2 - 3 * e2_m2 + 3)) % q
rv = (rv + (e3_m3 - 3 * e2_m3 + 3)) % q
rv = (rv + (e3_m1 - 3) * (e3_m2 - 3)) % q
rv = (rv + (e3_m1 - 3) * (e3_m3 - 3)) % q
rv = (rv + (e3_m2 - 3) * (e3_m3 - 3)) % q
rv = (rv + (e3_n1 - 3) * (e2_m1 - 2) + (e2_n1 - 2) * (e3_m1 - 3) - (e2_n1 - 2) * (e2_m1 - 2)) % q
rv = (rv + (e3_n1 - 3) * (e2_m2 - 2) + (e2_n1 - 2) * (e3_m2 - 3) - (e2_n1 - 2) * (e2_m2 - 2)) % q
rv = (rv + (e3_n1 - 3) * (e2_m3 - 2) + (e2_n1 - 2) * (e3_m3 - 3) - (e2_n1 - 2) * (e2_m3 - 2)) % q
rv = (rv + (e3_n2 - 3) * (e2_m1 - 2) + (e2_n2 - 2) * (e3_m1 - 3) - (e2_n2 - 2) * (e2_m1 - 2)) % q
rv = (rv + (e3_n2 - 3) * (e2_m2 - 2) + (e2_n2 - 2) * (e3_m2 - 3) - (e2_n2 - 2) * (e2_m2 - 2)) % q
rv = (rv + (e3_n2 - 3) * (e2_m3 - 2) + (e2_n2 - 2) * (e3_m3 - 3) - (e2_n2 - 2) * (e2_m3 - 2)) % q
rv = (rv + (e3_n3 - 3) * (e2_m1 - 2) + (e2_n3 - 2) * (e3_m1 - 3) - (e2_n3 - 2) * (e2_m1 - 2)) % q
rv = (rv + (e3_n3 - 3) * (e2_m2 - 2) + (e2_n3 - 2) * (e3_m2 - 3) - (e2_n3 - 2) * (e2_m2 - 2)) % q
rv = (rv + (e3_n3 - 3) * (e2_m3 - 2) + (e2_n3 - 2) * (e3_m3 - 3) - (e2_n3 - 2) * (e2_m3 - 2)) % q
return rv
num_probs = int(input())
for prob in range(num_probs):
(n, m) = (int(x) for x in input().split())
print(count(n, m))
```
|
vfc_86170
|
{
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/surveillance/problem",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n3 3\n3 4\n",
"output": "36\n78\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/378/B
|
Solve the following coding problem using the programming language python:
Two semifinals have just been in the running tournament. Each semifinal had n participants. There are n participants advancing to the finals, they are chosen as follows: from each semifinal, we choose k people (0 ≤ 2k ≤ n) who showed the best result in their semifinals and all other places in the finals go to the people who haven't ranked in the top k in their semifinal but got to the n - 2k of the best among the others.
The tournament organizers hasn't yet determined the k value, so the participants want to know who else has any chance to get to the finals and who can go home.
-----Input-----
The first line contains a single integer n (1 ≤ n ≤ 10^5) — the number of participants in each semifinal.
Each of the next n lines contains two integers a_{i} and b_{i} (1 ≤ a_{i}, b_{i} ≤ 10^9) — the results of the i-th participant (the number of milliseconds he needs to cover the semifinals distance) of the first and second semifinals, correspondingly. All results are distinct. Sequences a_1, a_2, ..., a_{n} and b_1, b_2, ..., b_{n} are sorted in ascending order, i.e. in the order the participants finished in the corresponding semifinal.
-----Output-----
Print two strings consisting of n characters, each equals either "0" or "1". The first line should correspond to the participants of the first semifinal, the second line should correspond to the participants of the second semifinal. The i-th character in the j-th line should equal "1" if the i-th participant of the j-th semifinal has any chances to advance to the finals, otherwise it should equal a "0".
-----Examples-----
Input
4
9840 9920
9860 9980
9930 10020
10040 10090
Output
1110
1100
Input
4
9900 9850
9940 9930
10000 10020
10060 10110
Output
1100
1100
-----Note-----
Consider the first sample. Each semifinal has 4 participants. The results of the first semifinal are 9840, 9860, 9930, 10040. The results of the second semifinal are 9920, 9980, 10020, 10090. If k = 0, the finalists are determined by the time only, so players 9840, 9860, 9920 and 9930 advance to the finals. If k = 1, the winners from both semifinals move to the finals (with results 9840 and 9920), and the other places are determined by the time (these places go to the sportsmen who run the distance in 9860 and 9930 milliseconds). If k = 2, then first and second places advance from each seminfial, these are participants with results 9840, 9860, 9920 and 9980 milliseconds.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
a = [None] * n
b = [None] * n
for i in range(n):
(a[i], b[i]) = map(int, input().split())
for i in range(n):
if i < n // 2 or a[i] < b[n - i - 1]:
print(1, end='')
else:
print(0, end='')
print()
for i in range(n):
if i < n // 2 or b[i] < a[n - i - 1]:
print(1, end='')
else:
print(0, end='')
```
|
vfc_86174
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/378/B",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n9840 9920\n9860 9980\n9930 10020\n10040 10090\n",
"output": "1110\n1100\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n9900 9850\n9940 9930\n10000 10020\n10060 10110\n",
"output": "1100\n1100\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1 2\n",
"output": "1\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2 1\n",
"output": "0\n1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/31/D
|
Solve the following coding problem using the programming language python:
Bob has a rectangular chocolate bar of the size W × H. He introduced a cartesian coordinate system so that the point (0, 0) corresponds to the lower-left corner of the bar, and the point (W, H) corresponds to the upper-right corner. Bob decided to split the bar into pieces by breaking it. Each break is a segment parallel to one of the coordinate axes, which connects the edges of the bar. More formally, each break goes along the line x = xc or y = yc, where xc and yc are integers. It should divide one part of the bar into two non-empty parts. After Bob breaks some part into two parts, he breaks the resulting parts separately and independently from each other. Also he doesn't move the parts of the bar. Bob made n breaks and wrote them down in his notebook in arbitrary order. At the end he got n + 1 parts. Now he wants to calculate their areas. Bob is lazy, so he asks you to do this task.
Input
The first line contains 3 integers W, H and n (1 ≤ W, H, n ≤ 100) — width of the bar, height of the bar and amount of breaks. Each of the following n lines contains four integers xi, 1, yi, 1, xi, 2, yi, 2 — coordinates of the endpoints of the i-th break (0 ≤ xi, 1 ≤ xi, 2 ≤ W, 0 ≤ yi, 1 ≤ yi, 2 ≤ H, or xi, 1 = xi, 2, or yi, 1 = yi, 2). Breaks are given in arbitrary order.
It is guaranteed that the set of breaks is correct, i.e. there is some order of the given breaks that each next break divides exactly one part of the bar into two non-empty parts.
Output
Output n + 1 numbers — areas of the resulting parts in the increasing order.
Examples
Input
2 2 2
1 0 1 2
0 1 1 1
Output
1 1 2
Input
2 2 3
1 0 1 2
0 1 1 1
1 1 2 1
Output
1 1 1 1
Input
2 4 2
0 1 2 1
0 3 2 3
Output
2 2 4
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
(w, h, n) = list(map(int, input().split()))
a = [[0 for i in range(2 * w - 1)] for j in range(2 * h - 1)]
for i in range(1, 2 * h - 1, 2):
for j in range(1, 2 * w - 1, 2):
a[i][j] = ' '
for i in range(n):
(x1, y1, x2, y2) = list(map(int, input().split()))
if x1 == x2:
if x1 != 0 and x1 != w:
for j in range(min(y1, y2), max(y1, y2)):
a[2 * h - 2 - 2 * j][2 * x1 - 1] = ' '
elif y1 != 0 and y1 != h:
for j in range(min(x1, x2), max(x1, x2)):
a[2 * h - 1 - 2 * y1][2 * j] = ' '
b = []
c = 1
for i in range(0, 2 * h - 1, 2):
for j in range(0, 2 * w - 1, 2):
if a[i][j] == 0:
d = i
e = j
while d < 2 * h - 1 and a[d][e] == 0 and (a[d - 1][e] != ' ') or d == i:
d += 2
d -= 2
while e < 2 * w - 1 and a[d][e] == 0 and (a[d][e - 1] != ' ') or e == j:
e += 2
e -= 2
b.append(((e - j) // 2 + 1) * ((d - i) // 2 + 1))
for k in range(i, d + 1, 2):
for l in range(j, e + 1, 2):
a[k][l] = c
c += 1
b += [0] * (n + 1 - len(b))
print(*sorted(b))
```
|
vfc_86178
|
{
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/31/D",
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10 10 4\n9 0 9 10\n4 0 4 10\n1 0 1 10\n1 4 4 4\n",
"output": "10 10 12 18 50 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 5 3\n2 1 2 5\n0 1 5 1\n4 0 4 1\n",
"output": "1 4 8 12 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100 100 1\n0 14 100 14\n",
"output": "1400 8600 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9 8 5\n4 3 4 4\n0 4 9 4\n5 4 5 8\n0 3 9 3\n1 4 1 8\n",
"output": "4 4 5 16 16 27 \n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1340/C
|
Solve the following coding problem using the programming language python:
If the girl doesn't go to Denis, then Denis will go to the girl. Using this rule, the young man left home, bought flowers and went to Nastya.
On the way from Denis's house to the girl's house is a road of n lines. This road can't be always crossed in one green light. Foreseeing this, the good mayor decided to place safety islands in some parts of the road. Each safety island is located after a line, as well as at the beginning and at the end of the road. Pedestrians can relax on them, gain strength and wait for a green light.
Denis came to the edge of the road exactly at the moment when the green light turned on. The boy knows that the traffic light first lights up g seconds green, and then r seconds red, then again g seconds green and so on.
Formally, the road can be represented as a segment [0, n]. Initially, Denis is at point 0. His task is to get to point n in the shortest possible time.
He knows many different integers d_1, d_2, …, d_m, where 0 ≤ d_i ≤ n — are the coordinates of points, in which the safety islands are located. Only at one of these points, the boy can be at a time when the red light is on.
Unfortunately, Denis isn't always able to control himself because of the excitement, so some restrictions are imposed:
* He must always move while the green light is on because it's difficult to stand when so beautiful girl is waiting for you. Denis can change his position by ± 1 in 1 second. While doing so, he must always stay inside the segment [0, n].
* He can change his direction only on the safety islands (because it is safe). This means that if in the previous second the boy changed his position by +1 and he walked on a safety island, then he can change his position by ± 1. Otherwise, he can change his position only by +1. Similarly, if in the previous second he changed his position by -1, on a safety island he can change position by ± 1, and at any other point by -1.
* At the moment when the red light is on, the boy must be on one of the safety islands. He can continue moving in any direction when the green light is on.
Denis has crossed the road as soon as his coordinate becomes equal to n.
This task was not so simple, because it's possible that it is impossible to cross the road. Since Denis has all thoughts about his love, he couldn't solve this problem and asked us to help him. Find the minimal possible time for which he can cross the road according to these rules, or find that it is impossible to do.
Input
The first line contains two integers n and m (1 ≤ n ≤ 10^6, 2 ≤ m ≤ min(n + 1, 10^4)) — road width and the number of safety islands.
The second line contains m distinct integers d_1, d_2, …, d_m (0 ≤ d_i ≤ n) — the points where the safety islands are located. It is guaranteed that there are 0 and n among them.
The third line contains two integers g, r (1 ≤ g, r ≤ 1000) — the time that the green light stays on and the time that the red light stays on.
Output
Output a single integer — the minimum time for which Denis can cross the road with obeying all the rules.
If it is impossible to cross the road output -1.
Examples
Input
15 5
0 3 7 14 15
11 11
Output
45
Input
13 4
0 3 7 13
9 9
Output
-1
Note
In the first test, the optimal route is:
* for the first green light, go to 7 and return to 3. In this case, we will change the direction of movement at the point 7, which is allowed, since there is a safety island at this point. In the end, we will be at the point of 3, where there is also a safety island. The next 11 seconds we have to wait for the red light.
* for the second green light reaches 14. Wait for the red light again.
* for 1 second go to 15. As a result, Denis is at the end of the road.
In total, 45 seconds are obtained.
In the second test, it is impossible to cross the road according to all the rules.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import collections
(n, m) = map(int, input().split())
arr = list(map(int, input().split()))
arr = sorted(arr)
(g, r) = map(int, input().split())
q = collections.deque()
q.append((0, 0, 0))
checked = [[-1] * g for _ in range(m)]
checked[0][0] = 0
while len(q) != 0:
(v, t, cnt) = q.popleft()
if v != m - 1:
cost1 = arr[v + 1] - arr[v]
if t + cost1 <= g:
if checked[v + 1][(t + cost1) % g] == -1:
if t + cost1 < g:
q.appendleft((v + 1, t + cost1, cnt))
checked[v + 1][t + cost1] = cnt
else:
q.append((v + 1, 0, cnt + 1))
checked[v + 1][0] = cnt + 1
if v != 0:
cost2 = arr[v] - arr[v - 1]
if t + cost2 <= g:
if checked[v - 1][(t + cost2) % g] == -1:
if t + cost2 < g:
q.appendleft((v - 1, t + cost2, cnt))
checked[v - 1][t + cost2] = cnt
else:
q.append((v - 1, 0, cnt + 1))
checked[v - 1][0] = cnt + 1
ans = 10 ** 18
for i in range(m):
for j in range(g):
if checked[i][j] == -1:
continue
elif j + n - arr[i] <= g:
ans = min(ans, checked[i][j] * (g + r) + j + n - arr[i])
if ans == 10 ** 18:
print(-1)
else:
print(ans)
```
|
vfc_86182
|
{
"difficulty": "very_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1340/C",
"time_limit": "1.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "15 5\n15 3 7 0 14\n11 11\n",
"output": "45",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "15 5\n15 14 7 3 0\n11 11\n",
"output": "45",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/FINDSHOES
|
Solve the following coding problem using the programming language python:
Chef has N friends. Chef promised that he would gift a pair of shoes (consisting of one left shoe and one right shoe) to each of his N friends. Chef was about to go to the marketplace to buy shoes, but he suddenly remembers that he already had M left shoes.
What is the minimum number of extra shoes that Chef will have to buy to ensure that he is able to gift a pair of shoes to each of his N friends?
For example, if N = 2, M = 4, then Chef already has 4 left shoes, so he must buy 2 extra right shoes to form 2 pairs of shoes.
Therefore Chef must buy at least 2 extra shoes to ensure that he is able to get N = 2 pairs of shoes.
------ Input Format ------
- The first line contains a single integer T - the number of test cases. Then the test cases follow.
- The first line of each test case contains two integers N and M - the number of Chef's friends and the number of left shoes Chef has.
------ Output Format ------
For each test case, output the minimum number of extra shoes that Chef will have to buy to ensure that he is able to get N pairs of shoes.
------ Constraints ------
$1 ≤ T ≤ 100$
$1 ≤ N ≤ 100$
$0 ≤ M ≤ 100$
----- Sample Input 1 ------
3
2 4
6 0
4 3
----- Sample Output 1 ------
2
12
5
----- explanation 1 ------
Test Case 1: Discussed in the problem statement
Test Case 2: Chef initially has no left shoes. He must buy $6$ more left shoes and $6$ more right shoes to form $6$ pairs of shoes.
Test Case 3: Chef initially has $3$ left shoes. He must buy $1$ more left shoe and $4$ more right shoes to form $4$ pairs of shoes.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
for i in range(n):
(a, b) = map(int, input().split())
x = a * 2
if b >= a:
print(a)
elif b == 0:
print(x)
else:
print(x - b)
```
|
vfc_86186
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/FINDSHOES",
"time_limit": "0.5 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n2 4\n6 0\n4 3\n",
"output": "2\n12\n5\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1091/E
|
Solve the following coding problem using the programming language python:
Bob is an active user of the social network Faithbug. On this network, people are able to engage in a mutual friendship. That is, if $a$ is a friend of $b$, then $b$ is also a friend of $a$. Each user thus has a non-negative amount of friends.
This morning, somebody anonymously sent Bob the following link: graph realization problem and Bob wants to know who that was. In order to do that, he first needs to know how the social network looks like. He investigated the profile of every other person on the network and noted down the number of his friends. However, he neglected to note down the number of his friends. Help him find out how many friends he has. Since there may be many possible answers, print all of them.
-----Input-----
The first line contains one integer $n$ ($1 \leq n \leq 5 \cdot 10^5$), the number of people on the network excluding Bob.
The second line contains $n$ numbers $a_1,a_2, \dots, a_n$ ($0 \leq a_i \leq n$), with $a_i$ being the number of people that person $i$ is a friend of.
-----Output-----
Print all possible values of $a_{n+1}$ — the amount of people that Bob can be friend of, in increasing order.
If no solution exists, output $-1$.
-----Examples-----
Input
3
3 3 3
Output
3
Input
4
1 1 1 1
Output
0 2 4
Input
2
0 2
Output
-1
Input
35
21 26 18 4 28 2 15 13 16 25 6 32 11 5 31 17 9 3 24 33 14 27 29 1 20 4 12 7 10 30 34 8 19 23 22
Output
13 15 17 19 21
-----Note-----
In the first test case, the only solution is that everyone is friends with everyone. That is why Bob should have $3$ friends.
In the second test case, there are three possible solutions (apart from symmetries): $a$ is friend of $b$, $c$ is friend of $d$, and Bob has no friends, or $a$ is a friend of $b$ and both $c$ and $d$ are friends with Bob, or Bob is friends of everyone.
The third case is impossible to solve, as the second person needs to be a friend with everybody, but the first one is a complete stranger.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def main():
n = int(input())
a = list(map(int, input().split()))
a.sort(reverse=True)
mod = sum(a) % 2
counts = [0] * (n + 1)
for guy in a:
counts[guy] += 1
cumcounts = [0] * (n + 1)
cumcounts[0] = counts[0]
for i in range(n):
cumcounts[i + 1] = cumcounts[i] + counts[i + 1]
partialsums = [0] * (n + 1)
curr = 0
for i in range(n):
curr += (i + 1) * counts[i + 1]
partialsums[i + 1] = curr
partialsums.append(0)
cumcounts.append(0)
sumi = 0
diffs = [0] * n
altdiffs = [0] * n
for i in range(n):
sumi += a[i]
rhs = i * (i + 1)
if a[i] > i:
rhs += partialsums[i] + (i + 1) * (n - i - 1 - cumcounts[i])
else:
rhs += partialsums[a[i] - 1] + a[i] * (n - i - 1 - cumcounts[a[i] - 1])
diffs[i] = sumi - rhs
rhs2 = (i + 1) * (i + 2)
if a[i] > i + 1:
rhs2 += partialsums[i + 1] + (i + 2) * (n - i - 1 - cumcounts[i + 1])
else:
rhs2 += partialsums[a[i] - 1] + a[i] * (n - i - 1 - cumcounts[a[i] - 1])
altdiffs[i] = sumi - rhs2
mini = max(diffs)
maxi = -max(altdiffs)
mini = max(mini, 0)
maxi = min(maxi, n)
out = ''
if mini % 2 != mod:
mini += 1
if maxi % 2 == mod:
maxi += 1
for guy in range(mini, maxi, 2):
out += str(guy) + ' '
if mini > maxi:
print(-1)
else:
print(out)
main()
```
|
vfc_86190
|
{
"difficulty": "very_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1091/E",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n3 3 3\n",
"output": "3 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n1 1 1 1\n",
"output": "0 2 4 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n0 2\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "35\n21 26 18 4 28 2 15 13 16 25 6 32 11 5 31 17 9 3 24 33 14 27 29 1 20 4 12 7 10 30 34 8 19 23 22\n",
"output": "13 15 17 19 21 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n2 2\n",
"output": "2 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n4 4 3 3\n",
"output": "2 4 \n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/LEMOUSE
|
Solve the following coding problem using the programming language python:
It is well-known that the elephants are afraid of mouses. The Little Elephant from the Zoo of Lviv is not an exception.
The Little Elephant is on a board A of n rows and m columns (0-based numeration). At the beginning he is in cell with coordinates (0; 0) and he wants to go to cell with coordinates (n-1; m-1). From cell (x; y) Little Elephant can go either to (x+1; y) or (x; y+1).
Each cell of the board contains either 1 or 0. If A[i][j] = 1, then there is a single mouse in cell (i; j). Mouse at cell (i; j) scared Little Elephants if and only if during the path there was at least one such cell (x; y) (which belongs to that path) and |i-x| + |j-y| <= 1.
Little Elephant wants to find some correct path from (0; 0) to (n-1; m-1) such that the number of mouses that have scared the Little Elephant is minimal possible. Print that number.
-----Input-----
First line contains single integer T - the number of test cases. Then T test cases follow. First line of each test case contain pair of integers n and m - the size of the board. Next n lines contain n strings, each of size m and consisted of digits 0 and 1.
-----Output-----
In T lines print T integer - the answers for the corresponding test.
-----Constraints-----
1 <= T <= 50
2 <= n, m <= 100
-----Example-----
Input:
2
3 9
001000001
111111010
100100100
7 9
010101110
110110111
010011111
100100000
000010100
011011000
000100101
Output:
9
10
-----Explanation-----
Example case 1:
The optimized path is: (0, 0) -> (0, 1) -> (0, 2) -> (0, 3) -> (0, 4) -> (0, 5) -> (0, 6) -> (0, 7) -> (0, 8) -> (1, 8) -> (2, 8). The mouses that scared the Little Elephant are at the following cells: (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 7), (0, 2), (0, 8).
Example case 2:
The optimized path is: (0, 0) -> (1, 0) -> (1, 1) -> (2, 1) -> (2, 2) -> (3, 2) -> (3, 3) -> (4, 3) -> (4, 4) -> (5, 4) -> (5, 5) -> (6, 5) -> (6, 6) -> (6, 7) -> (6, 8). The 10 mouses that scared the Little Elephant are at the following cells: (0, 1), (1, 0), (1, 1), (2, 1), (3, 3), (4, 4), (5, 4), (5, 5), (6, 6), (6, 8).
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import defaultdict
from itertools import product
def solve(mouse, n, m):
shadow = [[0 for i in range(m)] for j in range(n)]
for (i, j) in product(range(n), range(m)):
if mouse[i][j] == 1:
if i > 0:
shadow[i - 1][j] += 1
if j > 0:
shadow[i][j - 1] += 1
if i < n - 1:
shadow[i + 1][j] += 1
if j < m - 1:
shadow[i][j + 1] += 1
dp = defaultdict(int)
dp[0, 0, 0] = dp[0, 0, 1] = shadow[0][0] - mouse[0][0]
for i in range(1, m):
dp[0, i, 0] = dp[0, i, 1] = shadow[0][i] - mouse[0][i] + dp[0, i - 1, 0]
for i in range(1, n):
dp[i, 0, 0] = dp[i, 0, 1] = shadow[i][0] - mouse[i][0] + dp[i - 1, 0, 1]
for (i, j) in product(range(1, n), range(1, m)):
a = shadow[i][j] - mouse[i][j]
b = a
a += min(dp[i, j - 1, 0], dp[i, j - 1, 1] - mouse[i - 1][j])
b += min(dp[i - 1, j, 1], dp[i - 1, j, 0] - mouse[i][j - 1])
dp[i, j, 0] = a
dp[i, j, 1] = b
return min(dp[n - 1, m - 1, 0], dp[n - 1, m - 1, 1]) + mouse[0][0] + mouse[n - 1][m - 1]
for _ in range(int(input())):
(n, m) = map(int, input().split())
mouse = []
for i in range(n):
x = input()
mouse.append(list(map(int, x)))
print(solve(mouse, n, m))
```
|
vfc_86195
|
{
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/LEMOUSE",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n3 9\n001000001\n111111010\n100100100\n7 9\n010101110\n110110111\n010011111\n100100000\n000010100\n011011000\n000100101\n",
"output": "9\n10\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n3 9\n001000001\n111111010\n100100100\n7 9\n010101110\n110110111\n010011111\n100100000\n000010100\n011011000\n000100101",
"output": "9\n10",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/good-string5712/1
|
Solve the following coding problem using the programming language python:
Given a string s of length N, you have to tell whether it is good or not. A good string is one where the distance between every two adjacent character is exactly 1. Here distance is defined by minimum distance between two character when alphabets from 'a' to 'z' are put in cyclic manner. For example distance between 'a' to 'c' is 2 and distance between 'a' to 'y' is also 2. The task is to print "YES" or "NO" (without quotes) depending on whether the given string is Good or not.
Example 1:
Input: s = "aaa"
Output: NO
Explanation: distance between 'a' and 'a' is not 1.
Example 2:
Input: s = "cbc"
Output: YES
Explanation: distance between 'b' and 'c' is 1.
Your Task:
You don't need to read input or print anything. Your task is to complete the function isGoodString() which accepts a string as input parameter and returns "YES" or "NO" (without quotes) accordingly.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)
Constraints:
String contains only lower case english alphabets.
1 <= N <= 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def isGoodString(self, s):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def isGoodString(self, s):
for i in range(len(s) - 1):
dist = abs(ord(s[i]) - ord(s[i + 1]))
if dist != 1 and dist != 25:
return 'NO'
return 'YES'
```
|
vfc_86199
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/good-string5712/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "s = \"aaa\"",
"output": "NO",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "s = \"cbc\"",
"output": "YES",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/COW42020/problems/COW3F
|
Solve the following coding problem using the programming language python:
After the hundred years of war started by the Fire Nation, its time for the Water Tribes to bring it to an end. Avatar asked Sokka to go to the Southern WarZone from The Northern WarZone and gave him some money in a bag for his journey. Sokka has the World Map to guide him during his journey . The World Map is described as a $N$x$N$ grid where the Northern WarZone is denoted by $(0,0)$ and the Southern WarZone is denoted by $(N-1,N-1)$. Each location on the world map is denoted in a similar way by two integers r and c. For each location having:
- $r = c$ denotes neutral land ( $(0,0)$ and $(N-1,N-1)$ also come under this category)
- $r < c$ denotes the land under the rule of Water Tribes
- $r > c$ denotes the land under the rule of Fire Kingdom
Being wise Sokka travels only from one location to any other valid location (by valid location we mean a location which exists on the world map grid i.e. for that location $0 \leq r < N$ and $0 \leq c < N$ ) just to the right $(r,c+1)$ or below $(r+1,c)$ the current location randomly. Due to the times of war , Sokka has to pay one coin each time he transitions from one nation to another. Here a transition is counted when Sokka is in Water Tribe land and moves to Fire Nation Land crossing the neutral land or vice versa .The first move is obviously never counted as a transition. Moreover , the coin is to be payed exactly once for one such transition (eg. if he makes this transition k times he has to pay k coins).
The initial number of coins Sokka has is $2*N$. The probability that the coins he has when he reaches his destination is lesser than the number of coins he started his journey with can be expressed as a fraction $P/Q$, where P and Q are integers $(P \geq 0, Q > 0)$ and Q is co-prime with $(10^9)+7$. You should compute $P/Q$ modulo $(10^9)+7$ for $T$ values of $N$.
-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow.
- Each testcase contains of a single line of input, one integer $N$, the size of the world map grid.
-----Output:-----
For each testcase, output in a single line , the Probability modulo (10^9)+7.
-----Constraints-----
- $1 \leq T \leq 100000$
- $2 \leq N \leq 10^9$
-----Sample Input:-----
2
5
2
-----Sample Output:-----
200000002
0
-----EXPLANATION:-----
For N=2, there is no possible path in which Sokka has to spend money, so the final number of coins in the bag is not lesser than the initial amount.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
m = 1000000007
def gcd(a, b):
if a == 0:
return b
return gcd(b % a, a)
def modexp(x, n):
if n == 0:
return 1
elif n % 2 == 0:
return modexp(x * x % m, n // 2)
else:
return x * modexp(x * x % m, (n - 1) / 2) % m
def getFractionModulo(a, b):
c = gcd(a, b)
a = a // c
b = b // c
d = modexp(b, m - 2)
ans = a % m * (d % m) % m
return ans
t = int(input())
for i in range(t):
n = int(input())
n = n - 1
print(getFractionModulo(n - 1, n + 1))
```
|
vfc_86200
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/COW42020/problems/COW3F",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n5\n2\n",
"output": "200000002\n0\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Rose loves to play games. This problem is about a game he recently played. In the game there are N locations, numbered 0 through N-1. Each location has one entrance and one exit. You are given an array aka A with N elements.For each i, A[i] describes the exit from location i. If A[i] is a number between 0 and N-1, inclusive, it means that the exit from location i leads to the entrance of location A[i]. Otherwise, A[i] will be -1 and it means that if the player reaches this exit, they win the game.
Rose started the game by entering location 0. Print "Win" (quotes for clarity) if he can win the game. Otherwise, print "Lose". Note that the return value is case-sensitive.
Input - First line contains the no. of testcases and each testcase consist of 2 lines first containing the no. of elements in array and next line contiaing those elements.
Output - Print "Win" if Russy wins otherwise "Lose".
SAMPLE INPUT
3
2
1 -1
3
1 0 -1
3
0 1 2
SAMPLE OUTPUT
Win
Lose
Lose
Explanation
Testcase 1 - Rose will start in location 0. The exit from this location will bring him to location 1, and when he reaches the exit from location 1 he wins the game.
Testcase 2 - Rose will go back and forth between locations 0 and 1. He is unable to reach the exit from location 2.
Testcase 3 - The exit from location 0 leads back to location 0. Russy is unable to reach the other locations.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
'''
# Read input from stdin and provide input before running code
name = raw_input('What is your name?\n')
print 'Hi, %s.' % name
'''
#print 'Hello World!'
number_of_test_case = input()
for i in range(int(number_of_test_case)):
number_of_inputs = input()
#data=[]
#data = raw_input().split(" ")
data = [int(d) for d in input().split(" ")]
#for i in number_of_inputs:
# data.append(int(raw_input()))
if data[0] == 0:
print("Lose")
elif -1 in data:
visted = []
index = 0
for i in range(len(data)):
index = data[index]
if index == -1:
print("Win")
break
elif index in visted:
print("Lose")
break
elif index == 0:
print("Lose")
break
visted.append(index)
else:
print("Lose")
```
|
vfc_86204
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "11\n47\n16 38 18 8 24 32 42 45 2 10 30 26 23 -1 15 35 39 46 37 1 33 19 28 44 43 17 5 34 -1 11 40 41 3 13 6 4 7 31 36 21 27 25 29 20 9 14 22\n47\n30 9 24 10 8 36 4 46 2 -1 1 33 17 28 35 5 25 19 22 34 15 26 12 45 29 43 38 14 37 7 40 18 16 39 3 21 6 42 41 44 23 11 27 -1 31 20 32\n48\n10 7 22 28 44 25 1 47 24 37 5 8 31 30 18 4 39 34 -1 9 12 46 11 45 20 15 21 36 33 3 29 6 2 17 26 41 43 35 42 14 32 13 16 8 19 38 23 27\n48\n42 27 38 43 30 22 24 39 33 7 35 7 40 36 46 45 26 2 10 16 29 8 13 37 11 18 12 32 14 19 34 25 28 41 1 23 17 20 9 3 47 -1 31 21 15 4 6 44\n48\n6 5 8 2 32 16 18 36 21 12 27 35 37 46 20 39 11 9 31 3 29 1 38 4 17 -1 41 40 -1 13 19 47 45 25 22 15 43 7 44 34 42 10 24 30 23 14 33 26\n48\n28 40 16 35 -1 7 33 20 12 34 11 38 4 31 3 10 44 23 8 21 18 45 43 15 37 27 29 46 39 36 1 19 47 5 14 42 13 6 41 22 32 30 2 9 17 25 -1 26\n3\n2 -1 0\n1\n-1\n22\n1 15 1 -1 10 14 3 10 7 14 10 4 14 11 3 19 16 18 19 19 16 15\n6\n3 4 1 2 4 5\n46\n5 1 39 18 5 22 3 21 21 44 19 2 21 41 30 5 0 12 8 15 45 29 41 22 43 27 41 17 21 38 23 4 45 31 31 9 14 25 2 14 19 11 32 33 15 14",
"output": "Win\nWin\nWin\nWin\nWin\nWin\nLose\nWin\nLose\nLose\nLose",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n2\n1 -1\n3\n1 0 -1\n3\n0 1 2\n37\n29 33 28 16 -1 11 10 14 6 31 7 35 34 8 15 17 26 12 13 22 1 20 2 21 -1 5 19 9 18 4 25 32 3 30 23 10 27\n48\n17 43 20 41 42 15 18 35 -1 31 7 33 23 33 -1 -1 0 33 19 12 42 -1 -1 9 9 -1 39 -1 31 46 -1 20 44 41 -1 -1 12 -1 36 -1 -1 6 47 10 2 4 1 29\n6\n3 1 1 2 -1 4\n47\n15 10 18 36 32 38 2 4 21 33 12 13 -1 30 44 -1 28 19 25 14 42 22 27 7 3 41 5 46 17 26 40 20 37 34 23 43 11 45 6 16 9 31 35 39 1 29 24\n47\n27 28 6 11 24 2 41 4 22 5 8 17 9 15 45 18 23 21 -1 37 44 10 14 1 25 32 30 3 31 7 -1 40 38 16 42 43 19 29 33 12 39 20 35 13 46 36 26\n47\n15 19 16 24 5 8 37 13 40 25 14 29 45 28 30 31 27 3 34 7 36 17 43 38 44 42 -1 21 11 23 2 1 20 22 32 33 39 26 35 4 41 12 10 46 6 9 18\n47\n14 6 7 5 18 12 31 33 46 44 -1 38 30 36 15 34 29 40 11 4 39 41 3 43 35 10 22 16 45 19 9 37 27 28 17 5 23 26 8 13 2 42 24 21 20 32 25",
"output": "Win\nLose\nLose\nWin\nWin\nLose\nWin\nWin\nWin\nWin",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://www.hackerrank.com/challenges/div-and-span/problem
|
Solve the following coding problem using the programming language python:
Maya is teaching Alex about HyperText Markup Language (HTML). Alex is confused about div and span tags, so Maya decides to reduce the concept to a simpler visual by representing div tags as square brackets and span tags as parentheses. In other words, she represents <div> as [, </div> as ], <span> as (, and </span> as ).
We use the following rules to determine the validity of a configuration:
The empty string (""), a single pair of square brackets [], and single pair of parentheses () are all considered to be valid configurations. We can express each of these as ${V}$.
A valid configuration, ${V}$, which does not contain square brackets is called a normal configuration, which we can express as $N$. For example, () is normal.
Two or more consecutive valid configurations (e.g., ${VV}$) also constitute a valid configuration. For example, [][], ()(), and []()[] are all valid.
The following configurations are also valid: [V], (N).
For example, [[(())]()], ((())), and [(())[]] are all valid; however, ([]) is not valid (you cannot nest a div tag inside a span tag).
Given some number of distinguishable square brackets, ${X}$, and some number of distinguishable parentheses, ${Y}$, how many valid configurations can we build using the above rules? As this answer can be very large, print it modulo $10^9+7$.
Input Format
The first line contains a single positive integer, ${T}$, denoting the number of test cases.
Each of the ${T}$ subsequent lines contains $2$ positive space-separated integers describing the respective values of ${X}$ (the number of distinguishable square brackets) and $Y$ (the number of distinguishable parentheses).
Constraints
$1\leq T\leq1000$
$1\leq X\leq10^5$
$1\leq Y\leq200$
Output Format
For each test case, print the number of different valid configurations modulo $10^9+7$.
Sample Input
3
1 1
1 2
2 2
Sample Output
3
18
160
Explanation
For the first test case, $X=1$, $Y=1$, these are $3$ valid configurations:
[]()
()[]
[()]
Thus, we print the result of $3\%(10^9+7)$ on the first line.
For the second test case, if brackets and parentheses were not distinguishable, we would have only $\mbox{9}$ different configurations:
[()]() []()() [](())
()[]() [()()] [(())]
()()[] ()[()] (())[]
However, they are distinguishable, so [](1)(2) is not same as [](2)(1) (where (1) and (2) are the respective first and second pairs of parentheses. For this reason, we have $18}$ possible configurations and print the result of $18\%(10^9+7)$ on a new line.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
m = 10 ** 9 + 7
p_lim = 201
fact = [1]
for i in range(1, 250000):
fact.append(fact[-1] * i % m)
def egcd(a, b):
if a == 0:
return (b, 0, 1)
else:
(g, y, x) = egcd(b % a, a)
return (g, x - b // a * y, y)
def modinv(a, m):
while a < 0:
a += m
(g, x, y) = egcd(a, m)
if g != 1:
raise Exception('Modular inverse does not exist')
else:
return x % m
def choose(n, k):
r = fact[n] * modinv(fact[k], m) % m
return r * modinv(fact[n - k], m) % m
def C(n):
return fact[2 * n] * modinv(fact[n + 1], m) % m
dpp = [[0 for _ in range(p_lim)] for _ in range(p_lim)]
dpp[0][0] = 1
cumsum = [0 for _ in range(p_lim)]
cumsum[0] = 1
for i in range(1, p_lim):
dpp[i][1] = cumsum[i - 1] % m
cumsum[i] = (cumsum[i] + dpp[i][1]) % m
for j in range(2, p_lim):
for k in range(1, i - j + 2):
dpp[i][j] = (dpp[i][j] + dpp[k][1] * dpp[i - k][j - 1]) % m
cumsum[i] = (cumsum[i] + dpp[i][j]) % m
for _ in range(int(input())):
(x, y) = map(int, input().split())
r = 0
for i in range(y + 1):
r += dpp[y][i] * choose(2 * x + i, i)
r %= m
r = r * fact[y] % m
r = r * C(x) % m
print(r)
```
|
vfc_86208
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/div-and-span/problem",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n1 1\n1 2\n2 2\n",
"output": "3\n18\n160\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1028/B
|
Solve the following coding problem using the programming language python:
Let s(x) be sum of digits in decimal representation of positive integer x. Given two integers n and m, find some positive integers a and b such that
* s(a) ≥ n,
* s(b) ≥ n,
* s(a + b) ≤ m.
Input
The only line of input contain two integers n and m (1 ≤ n, m ≤ 1129).
Output
Print two lines, one for decimal representation of a and one for decimal representation of b. Both numbers must not contain leading zeros and must have length no more than 2230.
Examples
Input
6 5
Output
6
7
Input
8 16
Output
35
53
Note
In the first sample, we have n = 6 and m = 5. One valid solution is a = 6, b = 7. Indeed, we have s(a) = 6 ≥ n and s(b) = 7 ≥ n, and also s(a + b) = s(13) = 4 ≤ m.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def sum_digit(n):
c = 0
x = n
while x > 0:
c += x % 10
x = x // 10
return c
(n, m) = map(int, input().split())
r = '5'
su = 5
while su < n:
r = '4' + r
su += 4
r = r[0:len(r) - 1]
r += '5'
t1 = ''
for i in range(len(r)):
t1 += '5'
print(int(t1))
print(int(r))
```
|
vfc_86212
|
{
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1028/B",
"time_limit": "1.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "578 3\n",
"output": "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "20 2\n",
"output": "11111111111111111111\n88888888888888888889",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1000 1\n",
"output": "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 1\n",
"output": "1111\n8889",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10 1\n",
"output": "1111111111\n8888888889",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "843 152\n",
"output": "111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/largest-odd-number-in-string/1
|
Solve the following coding problem using the programming language python:
Given an string S, representing a large interger. Return the largest-valued odd integer (as a string) that is substring of the given string S.
Note : A substring is a contiguous sequence of characters within a string. Null string ("") is also a substring.
Example 1:
Input: s = "504"
Output: "5"
Explanation: The only subtring "5" is odd number.
Example 2:
Input: s = "2042"
Output: ""
Explanation: All the possible non-empty substring have even value.
Your Task:
You don't need to read input or print anything. Your task is to complete the function maxOdd() which takes the string S as input and returns the largest-valued odd integer that is substring of the given string.
Expected Time Complexity: O(|S|).
Expected Auxiliary Space: O(1).
Constraints:
1<=|S|<=2*10^{5}
S only consists of digits and does not contain any leading zeros.
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def maxOdd(self, s):
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def maxOdd(self, s):
for i in range(len(s) - 1, -1, -1):
if s[i] in {'1', '3', '5', '7', '9'}:
return s[:i + 1]
return ''
```
|
vfc_86217
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/largest-odd-number-in-string/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "s = \"504\"",
"output": "\"5\"",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "s = \"2042\"",
"output": "\"\"",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/smallest-k-digit-number-divisible-by-x2351/1
|
Solve the following coding problem using the programming language python:
Given two integers X and K. The task is to find smallest K-digit number divisible by X.
Note: It is given that number of digits in X is always smaller or equal to K.
Example 1:
Input:
X = 6, K = 1
Output:
6
Explanation:
6 is the smallest 1 digit number
which is divisible by 6.
Example 2:
Input:
X = 5, K = 2
Output:
10
Explanation:
10 is the smallest 2 digit number
which is divisible by 5.
Your Task:
You don't need to read input or print anything. Your task is to complete the function smallestKDigitNum() which takes 2 Integers X and K as input and returns the answer.
Expected Time Complexity: O(1)
Expected Auxiliary Space: O(1)
Constraints:
1 <= X <= 10^{5}
1 <= K <= 18
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def smallestKDigitNum(self, X, K):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def smallestKDigitNum(self, X, K):
Min = pow(10, K - 1)
if Min % X == 0:
return Min
else:
return Min + X - (Min + X) % X
```
|
vfc_86218
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/smallest-k-digit-number-divisible-by-x2351/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "X = 6, K = 1",
"output": "6",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "X = 5, K = 2",
"output": "10",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor is "Euclidean algorithm". The flow of the process is shown below.
<image>
For example, for 1071 and 1029, substitute 1071 for X and 1029 for Y,
The remainder of 1071 ÷ 1029 is 42, and 42 is substituted for X to replace X and Y. (1 step)
The remainder of 1029 ÷ 42 is 21, and 21 is substituted for X to replace X and Y. (2 steps)
The remainder of 42 ÷ 21 is 0, and 0 is substituted for X to replace X and Y. (3 steps)
Since Y has become 0, X at this time is the greatest common divisor. Therefore, the greatest common divisor is 21.
In this way, we were able to find the greatest common divisor of 1071 and 1029 in just three steps. The Euclidean algorithm produces results overwhelmingly faster than the method of comparing divisors.
Create a program that takes two integers as inputs, finds the greatest common divisor using the Euclidean algorithm, and outputs the greatest common divisor and the number of steps required for the calculation.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Two integers a, b (2 ≤ a, b ≤ 231-1) are given on one line for each dataset.
The number of datasets does not exceed 1000.
Output
For each data set, the greatest common divisor of the two input integers and the number of steps of the Euclidean algorithm for calculation are output on one line separated by blanks.
Example
Input
1071 1029
5 5
0 0
Output
21 3
5 1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def solve():
from sys import stdin
f_i = stdin
ans = ''
while True:
(a, b) = map(int, f_i.readline().split())
if a == 0 and b == 0:
break
if a < b:
(a, b) = (b, a)
cnt = 1
while a % b != 0:
cnt += 1
(a, b) = (b, a % b)
ans += f'{b} {cnt}\n'
print(ans, end='')
solve()
```
|
vfc_86219
|
{
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "1.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1071 1029\n5 3\n0 0",
"output": "21 3\n1 3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1251 1029\n5 3\n0 0",
"output": "3 8\n1 3\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/MTRICK
|
Solve the following coding problem using the programming language python:
Read problems statements in Mandarin Chinese and Russian.
Vidhi went to a magic show last week where she was astounded by a magic trick performed by the great Mandwarf, the brown. His trick was as follows :
Ask a volunteer from the audience to write down a list L of N integers.
Ask another volunteer from the audience to provide three integers A, B, C
Ask another volunteer from the audience to provide N length string called S where each letter is either 'R', 'A' or 'M'
Close his eyes for a split second and give the output of The Ancient Algorithm on this input.
We all know that The Ancient Algorithm is as follows :
for i from 1 to N do
if i^{th} letter of S is 'R'
reverse L[i...N]
else if i^{th} letter of S is 'A'
add A to all numbers of L[i..N].
else if i^{th} letter of S is 'M'
multiply B to all numbers of L[i..N].
for all number in L[i..N], module them by C.
announce L[i] out loud
end
Vidhi's boyfriend got jealous when he saw her getting impressed by Mandwarf, the brown's wisdom. He wants to learn the trick to gain her undivided admiration. How about you help him?
------ Constraints: ------
1 ≤ T ≤ 100
1 ≤ N ≤ 1000
0 ≤ L[i] ≤ 10^{18}
0 ≤ A,B ≤ 10^{18}
2 ≤ C ≤ 10^{18}
------ Input ------
First line contains a single integer T, denoting the number of test cases. Then follow T test case scenarios. Each test case begins with an integer N, the size of the list L. Then in next line, you'd find N space separated integers - the list L itself. In next line, there'd be three space separated integers A, B, C followed by string S in the next line.
------ Output ------
For each test case you've to output N space separated integers - the numbers announced by Mandwarf, the brown.
----- Sample Input 1 ------
2
3
1 1 1
2 3 1000
ARM
4
1 2 3 4
0 1 1000
AMAM
----- Sample Output 1 ------
3 3 9
1 2 3 4
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
t = int(input().strip())
while t:
n = int(input().strip())
l = [int(x) for x in input().strip().split()]
(a, b, c) = (int(x) for x in input().strip().split())
S = input().strip()
(s, e, i, x, y) = (0, n - 1, 1, 1, 0)
for C in S:
if C == 'R':
(s, e, i) = (e, s, -i)
elif C == 'A':
y += a
y %= c
elif C == 'M':
x *= b
x %= c
y *= b
y %= c
z = (x * l[s] % c + y % c) % c
print(z, end=' ')
s += i
print()
t -= 1
```
|
vfc_86223
|
{
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/MTRICK",
"time_limit": "2 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n3\n1 1 1\n2 3 1000\nARM\n4\n1 2 3 4\n0 1 1000\nAMAM",
"output": "3 3 9\n1 2 3 4",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n3\n1 1 1\n2 3 1000\nARM\n4\n1 2 3 4\n0 1 1010\nAMAM",
"output": "3 3 9\n1 2 3 4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n3\n1 0 1\n2 3 1000\nARM\n4\n1 2 3 4\n0 1 1010\nAMAM",
"output": "3 3 6\n1 2 3 4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n3\n2 0 1\n2 3 1000\nARM\n4\n1 2 3 4\n0 1 1010\nAMAM",
"output": "4 3 6\n1 2 3 4\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/TASTEDEC
|
Solve the following coding problem using the programming language python:
Chef is buying sweet things to prepare for Halloween!
The shop sells both chocolate and candy.
Each bar of chocolate has a tastiness of X.
Each piece of candy has a tastiness of Y.
One packet of chocolate contains 2 bars, while one packet of candy contains 5 pieces.
Chef can only buy one packet of something sweet, and so has to make a decision: which one should he buy in order to maximize the total tastiness of his purchase?
Print Chocolate if the packet of chocolate is tastier, Candy if the packet of candy is tastier, and Either if they have the same tastiness.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of one line of input, containing two space-separated integers X and Y — the tastiness of one bar of chocolate and one piece of candy, respectively.
------ Output Format ------
For each test case, output on a new line the answer:
- Chocolate if the packet of chocolate is tastier.
- Candy if the packet of candy is tastier.
- Either if they have the same tastiness.
You may print each character of the output in either uppercase or lowercase, i.e, Candy, CANDY, CaNdY and cANDy will all be treated as equivalent.
------ Constraints ------
$1 ≤ T ≤ 100$
$1 ≤ X, Y ≤ 10$
----- Sample Input 1 ------
4
5 1
5 2
5 3
3 10
----- Sample Output 1 ------
Chocolate
Either
Candy
Candy
----- explanation 1 ------
Test case $1$: The packet of chocolate has a tastiness of $2\times 5 = 10$, while the packet of candy has a tastiness of $5\times 1 = 5$. The chocolate is tastier.
Test case $2$: The packet of chocolate has a tastiness of $2\times 5 = 10$, while the packet of candy has a tastiness of $5\times 2 = 10$. They have the same tastiness.
Test case $3$: The packet of chocolate has a tastiness of $2\times 5 = 10$, while the packet of candy has a tastiness of $5\times 3 = 15$. The candy is tastier.
Test case $4$: The packet of chocolate has a tastiness of $2\times 3 = 6$, while the packet of candy has a tastiness of $5\times 10 = 50$. The candy is tastier.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
r = int(input())
for i in range(r):
s = input()
(m, n) = s.split()
if 2 * int(m) > 5 * int(n):
print('Chocolate')
elif 2 * int(m) == 5 * int(n):
print('Either')
else:
print('Candy')
```
|
vfc_86227
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/TASTEDEC",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n5 1\n5 2\n5 3\n3 10\n",
"output": "Chocolate\nEither\nCandy\nCandy\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/PCJ18E
|
Solve the following coding problem using the programming language python:
Chef loves sorting! Chef recently learnt about a new form of sorting, endsort!
While performing endsort of an array $A$ of $N$ distinct elements, Chef can move any element to the end of the array.
However, Chef fears that this will take too much time. Help Chef find the number of moves to sort the given array in ascending order using endsort!
------ Input: ------
The first line contains a single integer $T$, the number of test cases.
The first line of each test case contains a single integer $N$, the number of elements of given array $A$.
The next line would contain $N$ space separated integers, the elements of the array.
------ Output: ------
Print a single integer, the minimum number of moves to sort the array in ascending order using endsort.
------ Constraints ------
$1 ≤ T ≤ 10$
$1 ≤ N ≤ 100000$
$1 ≤ A_{i} ≤ 10^{9}$
----- Sample Input 1 ------
2
5
1 2 3 4 5
5
1 3 2 5 4
----- Sample Output 1 ------
0
3
----- explanation 1 ------
For the second sample, in the first move, we move 3 to the end of the array. In the second move, we move 4 to the end and finally in the third move, we move 5 to the end.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
t = int(input())
for i in range(t):
n = int(input())
l = list(map(int, input().split()))
c = [i for i in l]
c.sort()
j = 0
n = len(l)
for i in range(len(l)):
if l[i] == c[j]:
j += 1
print(n - j)
```
|
vfc_86232
|
{
"difficulty": "hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/PCJ18E",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": " 2\n 5\n 1 2 3 4 5\n 5\n 1 3 2 5 4",
"output": " 0\n 3",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/ENSPACE
|
Solve the following coding problem using the programming language python:
Chef's computer has N GB of free space. He wants to save X files, each of size 1 GB and Y files, each of size 2 GB on his computer. Will he be able to do so?
Chef can save all the files on his computer only if the total size of the files is less than or equal to the space available on his computer.
------ Input Format ------
- The first line contains an integer T, denoting the number of test cases. The T test cases then follow:
- The first and only line of each test case contains three integers N, X, Y, denoting the free-space in computer, the number of 1 and 2 GB files respectively.
------ Output Format ------
For each test case, print YES if Chef is able to save the files and NO otherwise.
You may print each character of the string in uppercase or lowercase (for example, the strings yEs, yes, Yes and YES will all be treated as identical).
------ Constraints ------
$1 ≤ T ≤ 100$
$1 ≤ N, X, Y ≤ 100$
----- Sample Input 1 ------
4
6 3 1
2 2 2
4 3 2
5 1 2
----- Sample Output 1 ------
YES
NO
NO
YES
----- explanation 1 ------
Test case $1$: The total size of files is $3 + 1 \cdot 2 =5$, which is smaller than the remaining space on the computer. Thus Chef will be able to save all the files.
Test case $2$: The total size of files is $2 + 2 \cdot 2 =6$, which is greater than the remaining space on the computer. Thus Chef will not be able to save all the files.
Test case $3$: The total size of files is $3 + 2 \cdot 2 =7$, which is greater than the remaining space on the computer. Thus Chef will not be able to save all the files.
Test case $4$: The total size of files is $1 + 2 \cdot 2 =5$, which is equal to the remaining space on the computer. Thus Chef will be able to save all the files.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
t = int(input())
for i in range(t):
(n, x, y) = map(int, input().split())
a = x * 1
b = y * 2
if n < a + b:
print('NO')
else:
print('YES')
```
|
vfc_86236
|
{
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/ENSPACE",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n6 3 1\n2 2 2\n4 3 2\n5 1 2\n",
"output": "YES\nNO\nNO\nYES\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/ARRSORT
|
Solve the following coding problem using the programming language python:
You are given an unsorted permutation P of size N. An operation is defined as:
Swap P_{i} and P_{i+K} for any i in the range [1,N-K].
Find the maximum value of K, such that, the permutation P can be sorted by applying any finite number of operations.
Note that, a permutation of size N contains all integers from 1 to N exactly once.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of two lines of input.
- The first line of each test case contains an integer N, the size of permutation.
- The next line contains N integers describing the permutation P.
- It is guaranteed that the given permutation is not sorted.
------ Output Format ------
For each test case, output on a new line the maximum possible value of K.
------ Constraints ------
$1 ≤ T ≤ 10^{5}$
$2 ≤ N ≤ 10^{5}$
- Sum of $N$ over all test cases does not exceed $10^{5}$.
----- Sample Input 1 ------
3
4
4 2 3 1
5
1 4 3 2 5
2
2 1
----- Sample Output 1 ------
3
2
1
----- explanation 1 ------
- Test Case $1$: Permutation can be sorted by swapping $P_{1}$ and $P_{4}$. So, the maximum possible value of $K$ is $3$. It can be shown that we cannot sort the permutation for any $K> 3$.
- Test Case $2$: Swapping $P_{2}$ and $P_{4}$ will sort the permutation. So, the maximum possible value of $K$ is $2$. It can be shown that we cannot sort the permutation for any $K> 2$.
- Test Case $3$: Swapping $P_{1}$ and $P_{2}$ will sort the permutation. So, the maximum possible value of $K$ is $1$. It can be shown that we cannot sort the permutation for any $K> 1$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import math
t = int(input())
for i in range(t):
n = int(input())
l = list(map(int, input().split()))
for i in range(1, n + 1):
l[i - 1] = abs(l[i - 1] - i)
hcf = l[0]
for j in range(1, n):
hcf = math.gcd(hcf, l[j])
print(hcf)
```
|
vfc_86241
|
{
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/ARRSORT",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n4\n4 2 3 1\n5\n1 4 3 2 5\n2\n2 1\n",
"output": "3\n2\n1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1696/B
|
Solve the following coding problem using the programming language python:
For a collection of integers $S$, define $\operatorname{mex}(S)$ as the smallest non-negative integer that does not appear in $S$.
NIT, the cleaver, decides to destroy the universe. He is not so powerful as Thanos, so he can only destroy the universe by snapping his fingers several times.
The universe can be represented as a 1-indexed array $a$ of length $n$. When NIT snaps his fingers, he does the following operation on the array:
He selects positive integers $l$ and $r$ such that $1\le l\le r\le n$. Let $w=\operatorname{mex}(\{a_l,a_{l+1},\dots,a_r\})$. Then, for all $l\le i\le r$, set $a_i$ to $w$.
We say the universe is destroyed if and only if for all $1\le i\le n$, $a_i=0$ holds.
Find the minimum number of times NIT needs to snap his fingers to destroy the universe. That is, find the minimum number of operations NIT needs to perform to make all elements in the array equal to $0$.
-----Input-----
Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 10^4$). Description of the test cases follows.
The first line of each test case contains one integer $n$ ($1\le n\le 10^5$).
The second line of each test case contains $n$ integers $a_1$, $a_2$, $\ldots$, $a_n$ ($0\le a_i\le 10^9$).
It is guaranteed that the sum of $n$ over all test cases does not exceed $2\cdot 10^5$.
-----Output-----
For each test case, print one integer — the answer to the problem.
-----Examples-----
Input
4
4
0 0 0 0
5
0 1 2 3 4
7
0 2 3 0 1 2 0
1
1000000000
Output
0
1
2
1
-----Note-----
In the first test case, we do $0$ operations and all elements in the array are already equal to $0$.
In the second test case, one optimal way is doing the operation with $l=2$, $r=5$.
In the third test case, one optimal way is doing the operation twice, respectively with $l=4$, $r=4$ and $l=2$, $r=6$.
In the fourth test case, one optimal way is doing the operation with $l=1$, $r=1$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for s in [*open(0)][2::2]:
print(min(2, len(''.join((' *'[x > '0'] for x in s.split())).split())))
```
|
vfc_86246
|
{
"difficulty": "easy",
"memory_limit": "512 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1696/B",
"time_limit": "2 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n4\n0 0 0 0\n5\n0 1 2 3 4\n7\n0 2 3 0 1 2 0\n1\n1000000000\n",
"output": "0\n1\n2\n1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Rajat is a guy who always wants to live in a fantasy world. In his world,
a deck consists of X cards, where X is a multiple of 4.
There are four types of cards namely spade , heart , club and diamond with
each type having values in range of [1,X/4] inclusive.
His cousin wants to test him. So,to test Rajat , his
cousin gives him a value of a card D and its card type K.
He asks him to find the probability that the above card is drawn
at the N^th draw if cards are drawn one by one from the deck without
replacement.
Input:
First line contains T the number of testcases.
Next T lines consists of X , N , D , K.
Output:
Output the probability upto 10 digits after decimal place for each testcase.
Constraints:
1 ≤ T ≤100
4 ≤ X ≤ 10^9
1 ≤ N ≤ X
K is a string denoting card's type = {heart , spade , diamond , club}
1 ≤ D ≤ X/4
SAMPLE INPUT
2
8 8 2 heart
52 1 10 spade
SAMPLE OUTPUT
0.1250000000
0.0192307692
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
T =int(input())
while T:
input_list = input().split()
output =1.0 /float(input_list[0])
print(format(output,'.10f'))
T=T-1
```
|
vfc_86250
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "98\n100026500 100010776 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 6423 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 22799 spade\n100011008 99978399 5845 heart\n100007448 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 23623 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n100025824 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 100011942 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n100018696 99994655 11586 club\n100008932 99979077 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 2964 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n100026740 100015482 22045 club\n100011192 99985928 7606 heart\n100020608 100014611 29293 heart\n100029556 99997929 25562 club\n100031240 100002066 27814 heart\n100023992 100018391 25825 spade\n100026428 100022344 28028 club\n",
"output": "0.0021367521\n0.0012077295\n0.0012077295\n0.0011160714\n0.0014970060\n0.0014204545\n0.0014044944\n0.0011627907\n0.0277777778\n0.0016025641\n0.0010729614\n0.0030864198\n0.0086206897\n0.0028089888\n0.0312500000\n0.0092592593\n0.0034722222\n0.0016891892\n0.0027777778\n0.0020661157\n0.0034246575\n0.0050000000\n0.0010000000\n0.0078125000\n0.0020661157\n0.0010683761\n0.0019230769\n0.0051020408\n0.0019083969\n0.0055555556\n0.0052083333\n0.0019531250\n0.0178571429\n0.0011415525\n0.0015337423\n0.0131578947\n0.2500000000\n0.0039062500\n0.0017985612\n0.0071428571\n0.0014534884\n0.0051020408\n0.0021929825\n0.0014880952\n0.0028089888\n0.0018656716\n0.0015151515\n0.0012690355\n0.0062500000\n0.0013089005\n0.0015923567\n0.0018382353\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "51\n68 49 11 heart\n28 16 1 club\n28 24 5 spade\n96 31 24 club\n68 36 1 diamond\n4 3 1 heart\n12 5 3 club\n60 22 9 heart\n36 7 6 spade\n24 11 1 spade\n32 17 5 club\n24 11 6 diamond\n16 11 4 spade\n56 24 2 diamond\n32 23 5 diamond\n8 8 2 heart\n88 88 12 heart\n92 92 18 diamond\n60 18 10 spade\n84 10 2 diamond\n92 83 17 spade\n100 85 19 heart\n100 39 19 spade\n28 5 6 heart\n84 70 21 diamond\n36 9 1 heart\n20 19 2 club\n96 22 14 club\n24 11 4 club\n80 58 11 diamond\n92 73 13 spade\n12 7 3 spade\n56 23 1 diamond\n76 2 10 diamond\n52 32 12 heart\n76 17 16 diamond\n4 2 1 spade\n56 19 2 heart\n56 30 5 heart\n40 40 4 spade\n88 22 12 heart\n96 65 10 diamond\n56 27 3 heart\n72 24 9 heart\n56 6 8 spade\n36 14 3 diamond\n60 40 13 heart\n88 7 6 club\n60 51 14 club\n64 41 13 heart\n28 12 1 club\n",
"output": "0.0147058824\n0.0357142857\n0.0357142857\n0.0104166667\n0.0147058824\n0.2500000000\n0.0833333333\n0.0166666667\n0.0277777778\n0.0416666667\n0.0312500000\n0.0416666667\n0.0625000000\n0.0178571429\n0.0312500000\n0.1250000000\n0.0113636364\n0.0108695652\n0.0166666667\n0.0119047619\n0.0108695652\n0.0100000000\n0.0100000000\n0.0357142857\n0.0119047619\n0.0277777778\n0.0500000000\n0.0104166667\n0.0416666667\n0.0125000000\n0.0108695652\n0.0833333333\n0.0178571429\n0.0131578947\n0.0192307692\n0.0131578947\n0.2500000000\n0.0178571429\n0.0178571429\n0.0250000000\n0.0113636364\n0.0104166667\n0.0178571429\n0.0138888889\n0.0178571429\n0.0277777778\n0.0166666667\n0.0113636364\n0.0166666667\n0.0156250000\n0.0357142857\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "52\n468 293 17 heart\n828 492 26 club\n828 100 55 spade\n896 223 72 club\n668 336 81 diamond\n704 347 52 heart\n712 461 130 club\n860 282 124 heart\n36 7 6 spade\n624 611 61 spade\n932 169 213 club\n324 155 30 diamond\n116 79 29 spade\n356 160 26 diamond\n32 23 5 diamond\n108 80 6 heart\n288 16 34 heart\n592 472 115 diamond\n360 18 85 spade\n484 170 8 diamond\n292 31 31 spade\n200 85 19 heart\n1000 939 169 spade\n128 17 20 heart\n484 2 21 diamond\n936 9 136 heart\n520 439 97 club\n196 154 4 club\n524 495 16 club\n180 138 11 diamond\n192 41 40 spade\n512 75 75 spade\n56 23 1 diamond\n876 86 183 diamond\n652 484 79 heart\n76 17 16 diamond\n4 2 1 spade\n256 139 40 heart\n556 426 99 heart\n140 40 34 spade\n688 534 146 heart\n196 33 15 diamond\n456 331 85 heart\n672 168 75 heart\n356 118 36 spade\n536 454 83 diamond\n660 40 58 heart\n788 623 56 club\n160 71 34 club\n764 385 186 heart\n628 332 93 club\n544 144 21 spade\n",
"output": "0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "91\n100026500 100010776 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 6423 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 22799 spade\n100011008 99978399 5845 heart\n100007448 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 23623 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n100025824 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 100011942 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n100018696 99994655 11586 club\n100008932 99979077 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 2964 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n",
"output": "0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n0.0000000100\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1201/D
|
Solve the following coding problem using the programming language python:
You are on the island which can be represented as a $n \times m$ table. The rows are numbered from $1$ to $n$ and the columns are numbered from $1$ to $m$. There are $k$ treasures on the island, the $i$-th of them is located at the position $(r_i, c_i)$.
Initially you stand at the lower left corner of the island, at the position $(1, 1)$. If at any moment you are at the cell with a treasure, you can pick it up without any extra time. In one move you can move up (from $(r, c)$ to $(r+1, c)$), left (from $(r, c)$ to $(r, c-1)$), or right (from position $(r, c)$ to $(r, c+1)$). Because of the traps, you can't move down.
However, moving up is also risky. You can move up only if you are in a safe column. There are $q$ safe columns: $b_1, b_2, \ldots, b_q$. You want to collect all the treasures as fast as possible. Count the minimum number of moves required to collect all the treasures.
-----Input-----
The first line contains integers $n$, $m$, $k$ and $q$ ($2 \le n, \, m, \, k, \, q \le 2 \cdot 10^5$, $q \le m$) — the number of rows, the number of columns, the number of treasures in the island and the number of safe columns.
Each of the next $k$ lines contains two integers $r_i, c_i$, ($1 \le r_i \le n$, $1 \le c_i \le m$) — the coordinates of the cell with a treasure. All treasures are located in distinct cells.
The last line contains $q$ distinct integers $b_1, b_2, \ldots, b_q$ ($1 \le b_i \le m$) — the indices of safe columns.
-----Output-----
Print the minimum number of moves required to collect all the treasures.
-----Examples-----
Input
3 3 3 2
1 1
2 1
3 1
2 3
Output
6
Input
3 5 3 2
1 2
2 3
3 1
1 5
Output
8
Input
3 6 3 2
1 6
2 2
3 4
1 6
Output
15
-----Note-----
In the first example you should use the second column to go up, collecting in each row treasures from the first column. [Image]
In the second example, it is optimal to use the first column to go up. [Image]
In the third example, it is optimal to collect the treasure at cell $(1;6)$, go up to row $2$ at column $6$, then collect the treasure at cell $(2;2)$, go up to the top row at column $1$ and collect the last treasure at cell $(3;4)$. That's a total of $15$ moves. [Image]
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import bisect
(n, m, k, q) = map(int, input().split())
vals = {}
vals[1] = [1, 1]
for i in range(k):
(r, c) = map(int, input().split())
if r not in vals:
vals[r] = [c, c]
else:
vals[r][0] = min(vals[r][0], c)
vals[r][1] = max(vals[r][1], c)
q = list(map(int, input().split()))
q.sort()
def find_shortest(lower, upper, row):
if row == 1:
return upper - 1
if lower > upper:
return find_shortest(upper, lower, row)
pos = bisect.bisect_left(q, lower)
options = []
if pos < len(q):
if q[pos] <= upper:
return upper - lower
else:
options.append(q[pos] - lower + q[pos] - upper)
pos2 = bisect.bisect_left(q, lower) - 1
if pos2 >= 0:
options.append(lower - q[pos2] + upper - q[pos2])
return min(options)
highest = 1
(old_a, old_b) = (0, 0)
(pos_a, pos_b) = (1, 1)
for row in range(1, n + 1):
if not row in vals:
continue
highest = row
(row_min, row_max) = vals[row]
new_a = min(old_a + find_shortest(pos_a, row_max, row), old_b + find_shortest(pos_b, row_max, row)) + row_max - row_min
new_b = min(old_a + find_shortest(pos_a, row_min, row), old_b + find_shortest(pos_b, row_min, row)) + row_max - row_min
(old_a, old_b) = (new_a, new_b)
(pos_a, pos_b) = (row_min, row_max)
total = highest - 1
total += min(old_a, old_b)
print(total)
```
|
vfc_86254
|
{
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1201/D",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 3 3 2\n1 1\n2 1\n3 1\n2 3\n",
"output": "6",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 5 3 2\n1 2\n2 3\n3 1\n1 5\n",
"output": "8",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 6 3 2\n1 6\n2 2\n3 4\n1 6\n",
"output": "15",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 2 2 2\n1 1\n1 2\n1 2\n",
"output": "1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 5 10 3\n3 1\n3 2\n3 5\n1 5\n2 1\n2 5\n1 2\n1 4\n3 3\n2 4\n2 1 5\n",
"output": "14",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 3 10 3\n5 3\n1 1\n2 2\n1 3\n3 2\n5 2\n2 3\n2 1\n3 1\n5 1\n1 2 3\n",
"output": "12",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/980/A
|
Solve the following coding problem using the programming language python:
A necklace can be described as a string of links ('-') and pearls ('o'), with the last link or pearl connected to the first one. $0$
You can remove a link or a pearl and insert it between two other existing links or pearls (or between a link and a pearl) on the necklace. This process can be repeated as many times as you like, but you can't throw away any parts.
Can you make the number of links between every two adjacent pearls equal? Two pearls are considered to be adjacent if there is no other pearl between them.
Note that the final necklace should remain as one circular part of the same length as the initial necklace.
-----Input-----
The only line of input contains a string $s$ ($3 \leq |s| \leq 100$), representing the necklace, where a dash '-' represents a link and the lowercase English letter 'o' represents a pearl.
-----Output-----
Print "YES" if the links and pearls can be rejoined such that the number of links between adjacent pearls is equal. Otherwise print "NO".
You can print each letter in any case (upper or lower).
-----Examples-----
Input
-o-o--
Output
YES
Input
-o---
Output
YES
Input
-o---o-
Output
NO
Input
ooo
Output
YES
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def ii():
return int(input())
def ai():
return map(int, input().split())
s = input()
p = s.count('-')
f = s.count('o')
if f is 0:
print('YES')
return
if p % f == 0:
print('YES')
else:
print('NO')
```
|
vfc_86259
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/980/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "-o-o--\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "-o---\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "-o---o-\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "ooo\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "---\n",
"output": "YES\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/print-all-bitwise-subsets-of-a-number-n3301/1
|
Solve the following coding problem using the programming language python:
Given a number N, print all the numbers which are a bitwise subset of the binary representation of N. Bitwise subset of a number N will be the numbers i in the range 0 ≤ i ≤ N which satisfy the below condition:
N & i == i
Example 1:
Input:
N = 5
Output: 5 4 1 0
Explanation:
0 & 5 = 0
1 & 5 = 1
2 & 5 = 0
3 & 5 = 1
4 & 5 = 4
5 & 5 = 5
Example 2:
Input:
N = 9
Output: 9 8 1 0
Your Task:
You don't need to read input or print anything. Your task is to complete the function printSubsets() which takes the integer N as input parameters and returns the array of integers that satisfy the above condition.
Expected Time Complexity: O(K), where K is the number of bitwise subsets of N.
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ N ≤ 10000
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def printSubsets (self, N):
pass
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def printSubsets(self, N):
b = []
for i in range(N + 1):
if N & i == i:
b.append(i)
return list(reversed(b))
```
|
vfc_86263
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/print-all-bitwise-subsets-of-a-number-n3301/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 5",
"output": "5 4 1 0",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 9",
"output": "9 8 1 0",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/664/C
|
Solve the following coding problem using the programming language python:
International Abbreviation Olympiad takes place annually starting from 1989. Each year the competition receives an abbreviation of form IAO'y, where y stands for some number of consequent last digits of the current year. Organizers always pick an abbreviation with non-empty string y that has never been used before. Among all such valid abbreviations they choose the shortest one and announce it to be the abbreviation of this year's competition.
For example, the first three Olympiads (years 1989, 1990 and 1991, respectively) received the abbreviations IAO'9, IAO'0 and IAO'1, while the competition in 2015 received an abbreviation IAO'15, as IAO'5 has been already used in 1995.
You are given a list of abbreviations. For each of them determine the year it stands for.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of abbreviations to process.
Then n lines follow, each containing a single abbreviation. It's guaranteed that each abbreviation contains at most nine digits.
Output
For each abbreviation given in the input, find the year of the corresponding Olympiad.
Examples
Input
5
IAO'15
IAO'2015
IAO'1
IAO'9
IAO'0
Output
2015
12015
1991
1989
1990
Input
4
IAO'9
IAO'99
IAO'999
IAO'9999
Output
1989
1999
2999
9999
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from __future__ import print_function
dic = {'9': '1989', '0': '1990', '1': '1991', '2': '1992', '3': '1993', '4': '1994', '5': '1995', '6': '1996', '7': '1997', '8': '1998'}
def get_year(s):
length = len(s)
if len(s) == 1:
return dic[s]
pos = [s]
pre = 1
if s[0] == '0' or len(s) < 4 or (len(s) == 4 and int(s) < 1989):
pos = []
count = 0
while count < length:
if int(str(pre) + s) >= 1989:
pos.append(str(pre) + s)
count += 1
pre += 1
for i in range(1, length):
year = get_year(s[i:])
try:
pos.remove(year)
except ValueError:
pass
return pos[0]
m = int(input())
for i in range(m):
x = input()
abb = x[4:]
print(int(get_year(abb)))
```
|
vfc_86264
|
{
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/664/C",
"time_limit": "1.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\nIAO'113098\n",
"output": "1113098\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nIAO'021113099\n",
"output": "1021113099\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nIAO'10005000\n",
"output": "110005000\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nIAO'111111111\n",
"output": "1111111111\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nIAO'11378\n",
"output": "111378\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\nIAO'111110\n",
"output": "1111110\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/54/C
|
Solve the following coding problem using the programming language python:
In the probability theory the following paradox called Benford's law is known: "In many lists of random numbers taken from real sources, numbers starting with digit 1 occur much more often than numbers starting with any other digit" (that's the simplest form of the law).
Having read about it on Codeforces, the Hedgehog got intrigued by the statement and wishes to thoroughly explore it. He finds the following similar problem interesting in particular: there are N random variables, the i-th of which can take any integer value from some segment [Li;Ri] (all numbers from this segment are equiprobable). It means that the value of the i-th quantity can be equal to any integer number from a given interval [Li;Ri] with probability 1 / (Ri - Li + 1).
The Hedgehog wants to know the probability of the event that the first digits of at least K% of those values will be equal to one. In other words, let us consider some set of fixed values of these random variables and leave only the first digit (the MSD — most significant digit) of each value. Then let's count how many times the digit 1 is encountered and if it is encountered in at least K per cent of those N values, than such set of values will be called a good one. You have to find the probability that a set of values of the given random variables will be a good one.
Input
The first line contains number N which is the number of random variables (1 ≤ N ≤ 1000). Then follow N lines containing pairs of numbers Li, Ri, each of whom is a description of a random variable. It is guaranteed that 1 ≤ Li ≤ Ri ≤ 1018.
The last line contains an integer K (0 ≤ K ≤ 100).
All the numbers in the input file are integers.
Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cin (also you may use %I64d).
Output
Print the required probability. Print the fractional number with such a precision that the relative or absolute error of the result won't exceed 10 - 9.
Examples
Input
1
1 2
50
Output
0.500000000000000
Input
2
1 2
9 11
50
Output
0.833333333333333
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def num_ones(a, b):
if a == 0:
if b == 0:
return 0
ans = 0
b = str(b)
for i in range(1, len(b)):
ans += 10 ** (i - 1)
if b[0] == '1':
x = b[1:]
if x == '':
x = 0
else:
x = int(x)
ans += x + 1
else:
ans += 10 ** (len(b) - 1)
return ans
return num_ones(0, b) - num_ones(0, a - 1)
def dp(far, need):
if DP[far][need] != -1:
return DP[far][need]
if need > far + 1:
return 0
if need == 0:
return 1
if far == 0:
return L[0]
ans = L[far] * dp(far - 1, need - 1) + (1 - L[far]) * dp(far - 1, need)
DP[far][need] = ans
return ans
n = int(input())
L = []
for i in range(n):
s = list(map(int, input().split()))
L.append(num_ones(s[0], s[1]) / (s[1] - s[0] + 1))
k = int(input())
atLeast = int((n * k - 1) / 100) + 1
if k == 0:
atLeast = 0
DP = []
for i in range(n):
DP.append([-1] * (atLeast + 5))
print(round(dp(n - 1, atLeast), 10))
```
|
vfc_86272
|
{
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/54/C",
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n1 1000000000000000000\n50\n",
"output": "0.111111111111111\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1 1\n100\n",
"output": "1.000000000000000\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "15\n11 20\n16 18\n10 17\n11 17\n2 19\n12 20\n5 24\n17 17\n16 18\n22 23\n3 17\n4 5\n14 21\n23 25\n14 15\n73\n",
"output": "0.377283950617284\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1000000000000000000 1000000000000000000\n100\n",
"output": "1.000000000000000\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n5 20\n13 16\n12 30\n7 16\n10 29\n21 21\n22 26\n14 22\n2 10\n1 29\n48\n",
"output": "0.470619916649862\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1177/A
|
Solve the following coding problem using the programming language python:
Let's write all the positive integer numbers one after another from $1$ without any delimiters (i.e. as a single string). It will be the infinite sequence starting with 123456789101112131415161718192021222324252627282930313233343536...
Your task is to print the $k$-th digit of this sequence.
-----Input-----
The first and only line contains integer $k$ ($1 \le k \le 10000$) — the position to process ($1$-based index).
-----Output-----
Print the $k$-th digit of the resulting infinite sequence.
-----Examples-----
Input
7
Output
7
Input
21
Output
5
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def main():
req = ''.join((str(x) for x in range(1, 10001)))
k = int(input())
print(int(req[k - 1]))
main()
```
|
vfc_86277
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1177/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "7\n",
"output": "7\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "21\n",
"output": "5\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n",
"output": "3\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.hackerrank.com/challenges/pylons/problem
|
Solve the following coding problem using the programming language python:
Goodland is a country with a number of evenly spaced cities along a line. The distance between adjacent cities is $unrecognized$ unit. There is an energy infrastructure project planning meeting, and the government needs to know the fewest number of power plants needed to provide electricity to the entire list of cities. Determine that number. If it cannot be done, return -1.
You are given a list of city data. Cities that may contain a power plant have been labeled $unrecognized$. Others not suitable for building a plant are labeled $unrecognized$. Given a distribution range of $unrecognized$, find the lowest number of plants that must be built such that all cities are served. The distribution range limits supply to cities where distance is less than k.
Example
$unrecognized$
$unrecognized$
Each city is $unrecognized$ unit distance from its neighbors, and we'll use $unrecognized$ based indexing. We see there are $unrecognized$ cities suitable for power plants, cities $unrecognized$ and $unrecognized$. If we build a power plant at $unrecognized$, it can serve $unrecognized$ through $unrecognized$ because those endpoints are at a distance of $unrecognized$ and $unrecognized$. To serve $unrecognized$, we would need to be able to build a plant in city $unrecognized$ or $unrecognized$. Since none of those is suitable, we must return -1. It cannot be done using the current distribution constraint.
Function Description
Complete the pylons function in the editor below.
pylons has the following parameter(s):
int k: the distribution range
int arr[n]: each city's suitability as a building site
Returns
int: the minimum number of plants required or -1
Input Format
The first line contains two space-separated integers $unrecognized$ and $unrecognized$, the number of cities in Goodland and the plants' range constant.
The second line contains $unrecognized$ space-separated binary integers where each integer indicates suitability for building a plant.
Constraints
$unrecognized$
Each $unrecognized$.
Subtask
$unrecognized$ for $unrecognized$ of the maximum score.
Output Format
Print a single integer denoting the minimum number of plants that must be built so that all of Goodland's cities have electricity. If this is not possible for the given value of $unrecognized$, print $unrecognized$.
Sample Input
STDIN Function
----- --------
6 2 arr[] size n = 6, k = 2
0 1 1 1 1 0 arr = [0, 1, 1, 1, 1, 0]
Sample Output
2
Explanation
Cities $unrecognized$, $unrecognized$, $unrecognized$, and $unrecognized$ are suitable for power plants. Each plant will have a range of $unrecognized$. If we build in cities $unrecognized$ cities, $unrecognized$ and $unrecognized$, then all cities will have electricity.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from sys import stderr
([n, k], c) = (map(int, input().split()), list(map(int, input().split())))
(ans, last) = (0, 0)
while last < n:
i = max([last - k] + [j for j in range(max(0, last - k + 1), min(n, last + k)) if c[j]])
if i == last - k:
ans = -1
break
ans += 1
last = i + k
print(ans)
```
|
vfc_86285
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/pylons/problem",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6 2 \n0 1 1 1 1 0 \n",
"output": "2\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1437/A
|
Solve the following coding problem using the programming language python:
You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts.
Suppose you decided to sell packs with $a$ cans in a pack with a discount and some customer wants to buy $x$ cans of cat food. Then he follows a greedy strategy: he buys $\left\lfloor \frac{x}{a} \right\rfloor$ packs with a discount; then he wants to buy the remaining $(x \bmod a)$ cans one by one.
$\left\lfloor \frac{x}{a} \right\rfloor$ is $x$ divided by $a$ rounded down, $x \bmod a$ is the remainer of $x$ divided by $a$.
But customers are greedy in general, so if the customer wants to buy $(x \bmod a)$ cans one by one and it happens that $(x \bmod a) \ge \frac{a}{2}$ he decides to buy the whole pack of $a$ cans (instead of buying $(x \bmod a)$ cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially.
You know that each of the customers that come to your shop can buy any number of cans from $l$ to $r$ inclusive. Can you choose such size of pack $a$ that each customer buys more cans than they wanted initially?
-----Input-----
The first line contains a single integer $t$ ($1 \le t \le 1000$) — the number of test cases.
The first and only line of each test case contains two integers $l$ and $r$ ($1 \le l \le r \le 10^9$) — the range of the number of cans customers can buy.
-----Output-----
For each test case, print YES if you can choose such size of pack $a$ that each customer buys more cans than they wanted initially. Otherwise, print NO.
You can print each character in any case.
-----Example-----
Input
3
3 4
1 2
120 150
Output
YES
NO
YES
-----Note-----
In the first test case, you can take, for example, $a = 5$ as the size of the pack. Then if a customer wants to buy $3$ cans, he'll buy $5$ instead ($3 \bmod 5 = 3$, $\frac{5}{2} = 2.5$). The one who wants $4$ cans will also buy $5$ cans.
In the second test case, there is no way to choose $a$.
In the third test case, you can take, for example, $a = 80$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def inp():
return int(input())
def inlt():
return list(map(int, input().split()))
def insr():
s = input()
return list(s[:len(s) - 1])
def invr():
return map(int, input().split())
test = inp()
matrix = []
for i in range(test):
t = inlt()
matrix.append(t)
for i in range(test):
if int(matrix[i][0]) > int(matrix[i][1]) / 2:
print('YES')
else:
print('NO')
```
|
vfc_86289
|
{
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1437/A",
"time_limit": "1 second"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n3 4\n1 2\n120 150\n",
"output": "YES\nNO\nYES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n500000000 1000000000\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n100000001 200000002\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1000000000 1000000000\n",
"output": "YES\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Shivam is a genious, as you all know..:P
Recently he discovered that every whole number in the universe can be represented as the sum of three numbers 1, 3 and 4.
He was so much fascinated by the fact, that he began to write every number as sum of these numbers.
Later he found that, there are multiple ways of decomposing a number into the sum of 1, 3, and 4.
For example:
5 = 1+1+1+1+1 = 1+1+3 = 1+3+1 = 3+1+1 = 1+4 = 4+1
Now he wants to know what are the total number of ways to represent a number as the sum of 1, 3 and 4.
Help him to calculate the total ways.
Since the number can be large, print it modulo 10^7+7.
Input Format:
Input will begin by T, the number of test cases.
Each of the next T lines contain a single integer n.
Output Format:
For each n, print a single integer,representing the number of ways to decompose n MOD 10^7+7.
Scoring Criteria:
20 Points: 1 ≤ T ≤ 10 n ≤ 15
40 Points: 1 ≤ T ≤ 100000 n ≤ 1000000
SAMPLE INPUT
2
5
7
SAMPLE OUTPUT
6
15
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
#see the editorial...
x=[]
x.append(0)
x.append(1)
x.extend([1,2,4])
m=10**7+7
for i in range(5,1000007):
x.append((x[i-1]+x[i-3]+x[i-4])%m)
for _ in range(eval(input())):
print(x[eval(input())])
```
|
vfc_86293
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10\n9\n6\n13\n3\n13\n12\n7\n3\n3\n2",
"output": "6\n169\n4\n169\n6\n25\n9\n25\n4\n2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n5\n12\n4\n12\n5\n8\n6\n8\n4\n3",
"output": "40\n9\n273\n2\n273\n169\n15\n2\n2\n1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": 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"output": 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"type": "stdin_stdout"
}
]
}
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taco
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verifiable_code
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https://www.codechef.com/problems/INDEP
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Solve the following coding problem using the programming language python:
Read problem statements in [Bengali], [Mandarin Chinese], [Russian], and [Vietnamese] as well.
You are given a graph $G$ with $N$ vertices (numbered $1$ through $N$) and $M$ edges. You should partition the vertices of $G$ into two sets $A$ and $B$ such that:
each vertex of $G$ belongs to exactly one of these sets
$A$ is non-empty
$A$ is an independent set in $G$, i.e. for each pair of vertices $u, v \in A$, $G$ does not contain an edge $(u, v)$
for each vertex $a \in A$ and each vertex $b \in B$, there is an edge $(a, b)$ in $G$
Find the number of such partitions $(A, B)$. Also, give an example of one of these partitions or determine that no such partition exists.
Two partitions are considered different if there is a vertex that is in the set $A$ in one partition and in the set $B$ in the other partition.
------ Input ------
The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The first line of each test case contains two space-separated integers $N$ and $M$.
Each of the next $M$ lines contains two space-separated integers $u$ and $v$ denoting that vertices $u$ and $v$ are connected by an edge.
------ Output ------
For each test case, print two lines.
The first of these lines should contain a single integer — the number of partitions satisfying the given conditions.
The second line should contain a single string with length $N$. If there are no partitions satisfying the given conditions, each character of this string should be '0'. Otherwise, this string should describe one such partition — for each valid $i$, the $i$-th character should be '1' if vertex $i$ belongs to $A$ or '0' if it belongs to $B$.
------ Constraints ------
$1 ≤ T ≤ 5 \cdot 10^{5}$
$1 ≤ N, M ≤ 5 \cdot 10^{5}$
$1 ≤ u, v ≤ N$
there are no self-loops or duplicate edges in the graph
the sum of $N$ over all test cases does not exceed $5 \cdot 10^{5}$
the sum of $M$ over all test cases does not exceed $5 \cdot 10^{5}$
------ Subtasks ------
Subtask #1 (30 points): $N,M,T ≤ 100$
Subtask #2 (70 points): original constraints
----- Sample Input 1 ------
1
5 7
1 3
1 4
1 5
2 3
2 4
2 5
3 4
----- Sample Output 1 ------
1
11000
----- explanation 1 ------
Example case 1: The only possible partition satisfying the given conditions is $A = \{1, 2\}, B = \{3, 4, 5\}$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
lii = lambda x: list(map(x, input().split()))
iip = lambda : int(input())
from fractions import Fraction
from collections import defaultdict, deque
def solve():
(n, m) = lii(int)
graph = defaultdict(list)
for i in range(m):
(u, v) = lii(int)
graph[u].append(v)
graph[v].append(u)
seta = defaultdict(list)
for i in graph.keys():
seta[frozenset(graph[i])].append(i)
ss = [0] * n
sets = 0
for i in seta.keys():
if len(i) + len(seta[i]) == n:
if sets == 0:
for i in seta[i]:
ss[i - 1] = 1
sets += 1
print(sets)
print(*ss, sep='')
tc = 1
tc = iip()
for _ in range(tc):
solve()
```
|
vfc_86297
|
{
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/INDEP",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n5 7\n1 3\n1 4\n1 5\n2 3\n2 4\n2 5\n3 4",
"output": "1\n11000",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1707/B
|
Solve the following coding problem using the programming language python:
You are given an array $a$ consisting of $n$ non-negative integers. It is guaranteed that $a$ is sorted from small to large.
For each operation, we generate a new array $b_i=a_{i+1}-a_{i}$ for $1 \le i < n$. Then we sort $b$ from small to large, replace $a$ with $b$, and decrease $n$ by $1$.
After performing $n-1$ operations, $n$ becomes $1$. You need to output the only integer in array $a$ (that is to say, you need to output $a_1$).
-----Input-----
The input consists of multiple test cases. The first line contains a single integer $t$ ($1\le t\le 10^4$) — the number of test cases. The description of the test cases follows.
The first line of each test case contains one integer $n$ ($2\le n\le 10^5$) — the length of the array $a$.
The second line contains $n$ integers $a_1,a_2,\dots,a_n$ ($0\le a_1\le \ldots\le a_n \le 5\cdot 10^5$) — the array $a$.
It is guaranteed that the sum of $n$ over all test cases does not exceed $2.5\cdot 10^5$, and the sum of $a_n$ over all test cases does not exceed $5\cdot 10^5$.
-----Output-----
For each test case, output the answer on a new line.
-----Examples-----
Input
5
3
1 10 100
4
4 8 9 13
5
0 0 0 8 13
6
2 4 8 16 32 64
7
0 0 0 0 0 0 0
Output
81
3
1
2
0
-----Note-----
To simplify the notes, let $\operatorname{sort}(a)$ denote the array you get by sorting $a$ from small to large.
In the first test case, $a=[1,10,100]$ at first. After the first operation, $a=\operatorname{sort}([10-1,100-10])=[9,90]$. After the second operation, $a=\operatorname{sort}([90-9])=[81]$.
In the second test case, $a=[4,8,9,13]$ at first. After the first operation, $a=\operatorname{sort}([8-4,9-8,13-9])=[1,4,4]$. After the second operation, $a=\operatorname{sort}([4-1,4-4])=[0,3]$. After the last operation, $a=\operatorname{sort}([3-0])=[3]$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import defaultdict, OrderedDict
InputList = lambda Dtype: [Dtype(x) for x in input().split()]
import bisect
def solve():
N = int(input())
nums = InputList(int)
n_zeros = bisect.bisect(nums, 0)
nums = nums[n_zeros:]
if not nums:
return 0
for _ in range(N - 1):
diff = []
if n_zeros:
diff.append(nums[0])
n_zeros -= 1
for i in range(len(nums) - 1):
cur = nums[i + 1] - nums[i]
if cur:
diff.append(cur)
else:
n_zeros += 1
if not diff:
return 0
if len(diff) == 1:
return diff[0]
nums = sorted(diff)
ReturnMode = True
t = None
if not t:
t = int(input())
if ReturnMode:
for _ in range(t):
ans = solve()
if type(ans) == list:
print(*ans)
else:
print(ans)
else:
for _ in range(t):
solve()
```
|
vfc_86301
|
{
"difficulty": "hard",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1707/B",
"time_limit": "1 second"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n3\n1 10 100\n4\n4 8 9 13\n5\n0 0 0 8 13\n6\n2 4 8 16 32 64\n7\n0 0 0 0 0 0 0\n",
"output": "81\n3\n1\n2\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n104\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 102 6504 500000\n",
"output": "183892\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n4\n1 145 10441 497785\n",
"output": "466896\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n4\n1 143 10297 497785\n",
"output": "467322\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Little Deepu and Little Kuldeep are the two best warriors in the realm of Westeros. But, their priorities and their loyalties are very much divided. Little Kuldeep fights for the right, just while Little Deepu fights for the wrong reasons, and supports the wrong ones in the kingdom. Everyone's scared of these two warriors getting into a fight ever. But, in the final match of the tournament for the best warrior in the kingdom, these two warriors will eventually have to face each other.
But, here's the twist. Since, everyone knows that these two are the best ones, no one wants them to die. So, it's a no-kill contest between them. They CANNOT kill each other. They just have to hit each other, with their best moves.
Both, Little Deepu and Little Kuldeep will get n chances to hit the opponent. But, since Little Deepu fights for the wrong people, he had the power to convince people that he'll be the attacker, and Kuldeep be the defender - that is to say. So, what will happen is the following: Little Kuldeep CANNOT attack Little Deepu before Little Deepu attacks him. Little Kuldeep can only retaliate to Little Deepu's hits, and NOT hit him before Deepu hits him.
That is to say, let's say both of them have 3 moves. So, a valid hitting combination would be:
1. DDDKKK
2. DKDDKK
And 3 other combinations.
So, ONLY after Deepu hits Kuldeep can hit him back!
So, you being a volunteer in managing the fights, have to figure out the number of valid combinations of the n hits by the both of them.
Input format:
The first line contains the number of test cases.
Every test case contains an integer N.
Output format:
You've to print out the number of valid combinations modulo by 1000000007.
Constraints:
1 ≤ Test Cases < 1001
1 ≤ N ≤ 1000000
SAMPLE INPUT
2
2
1548
SAMPLE OUTPUT
2
57584392
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
# Binomial coefficient with mod inverse of prime. Calculate binom (n, r) % p.
MAXN = 2000005
MOD = 1000000007
f = [0] * MAXN
def binom (n, r, p):
# print binom (10 ** 18, 2545354543534, 9973)
if n < 0 or r < 0 or n < r: return 0
# Precalculate factorial.
if f [0] != 1: # Factorial already precalculated.
f [0] = 1
for i in range (1, MAXN): f [i] = (i * f [i - 1]) % p
# Calculate modular inverse using Fermat's little theorum.
def inv (n): return pow (n, p - 2, p)
ret = 1
while n or r:
# Use Lucas theorum to reduce values into its prime residual.
n0, r0 = n % p, r % p
n, r = n / p, r / p
if n0 < r0: return 0
# print n0, r0
ret *= f [n0] * inv (f [r0]) * inv (f [n0 - r0])
ret %= p
return ret
T = int (input ())
for t in range (T):
N = int (input ())
print((binom (2 * N, N, MOD) * pow (N + 1, MOD - 2, MOD)) % MOD)
```
|
vfc_86305
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": 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"output": 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"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Turtle Shi-ta and turtle Be-ko decided to divide a chocolate. The shape of the chocolate is rectangle. The corners of the chocolate are put on (0,0), (w,0), (w,h) and (0,h). The chocolate has lines for cutting. They cut the chocolate only along some of these lines.
The lines are expressed as follows. There are m points on the line connected between (0,0) and (0,h), and between (w,0) and (w,h). Each i-th point, ordered by y value (i = 0 then y =0), is connected as cutting line. These lines do not share any point where 0 < x < w . They can share points where x = 0 or x = w . However, (0, li ) = (0,lj ) and (w,ri ) = (w,rj ) implies i = j . The following figure shows the example of the chocolate.
<image>
There are n special almonds, so delicious but high in calories on the chocolate. Almonds are circle but their radius is too small. You can ignore radius of almonds. The position of almond is expressed as (x,y) coordinate.
Two turtles are so selfish. Both of them have requirement for cutting.
Shi-ta's requirement is that the piece for her is continuous. It is possible for her that she cannot get any chocolate. Assume that the minimum index of the piece is i and the maximum is k . She must have all pieces between i and k . For example, chocolate piece 1,2,3 is continuous but 1,3 or 0,2,4 is not continuous.
Be-ko requires that the area of her chocolate is at least S . She is worry about her weight. So she wants the number of almond on her chocolate is as few as possible.
They doesn't want to make remainder of the chocolate because the chocolate is expensive.
Your task is to compute the minumum number of Beko's almonds if both of their requirment are satisfied.
Input
Input consists of multiple test cases.
Each dataset is given in the following format.
n m w h S
l0 r0
...
lm-1 rm-1
x0 y0
...
xn-1 yn-1
The last line contains five 0s. n is the number of almonds. m is the number of lines. w is the width of the chocolate. h is the height of the chocolate. S is the area that Be-ko wants to eat. Input is integer except xi yi.
Input satisfies following constraints.
1 ≤ n ≤ 30000
1 ≤ m ≤ 30000
1 ≤ w ≤ 200
1 ≤ h ≤ 1000000
0 ≤ S ≤ w*h
If i < j then li ≤ lj and ri ≤ rj and then i -th lines and j -th lines share at most 1 point. It is assured that lm-1 and rm-1 are h. xi yi is floating point number with ten digits. It is assured that they are inside of the chocolate. It is assured that the distance between points and any lines is at least 0.00001.
Output
You should output the minumum number of almonds for Be-ko.
Example
Input
2 3 10 10 50
3 3
6 6
10 10
4.0000000000 4.0000000000
7.0000000000 7.0000000000
2 3 10 10 70
3 3
6 6
10 10
4.0000000000 4.0000000000
7.0000000000 7.0000000000
2 3 10 10 30
3 3
6 6
10 10
4.0000000000 4.0000000000
7.0000000000 7.0000000000
2 3 10 10 40
3 3
6 6
10 10
4.0000000000 4.0000000000
7.0000000000 7.0000000000
2 3 10 10 100
3 3
6 6
10 10
4.0000000000 4.0000000000
7.0000000000 7.0000000000
0 0 0 0 0
Output
1
1
0
1
2
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from bisect import bisect_left
while True:
(n, m, w, h, S) = map(int, input().split())
if n == 0:
break
(m, wh2) = (m + 1, 2 * (w * h))
S = wh2 - 2 * S
(tbl, s) = ([[0, 0, 0, 0]], [0])
for i in range(1, m):
(l, r) = map(int, input().split())
tbl.append([l, r, 0, r - l])
s.append((l + r) * w)
p = []
for i in range(n):
(x, y) = map(float, input().split())
p.append((x, y))
p.sort(key=lambda x: (x[1], x[0]))
j = 1
for i in range(n):
(x, y) = p[i]
while True:
y1 = tbl[j - 1][3] * x / w + tbl[j - 1][0]
y2 = tbl[j][3] * x / w + tbl[j][0]
if y1 < y:
if y < y2:
break
j += 1
else:
j -= 1
tbl[j][2] += 1
for i in range(1, m):
tbl[i][2] += tbl[i - 1][2]
if S == 0:
print(n)
continue
elif S == wh2:
print(0)
continue
j = bisect_left(s, S, 0, m)
if s[j] != S:
j -= 1
(ans, i) = (tbl[j][2], 1)
while j + 1 < m:
j += 1
while s[j] - s[i] > S:
i += 1
ans = max(ans, tbl[j][2] - tbl[i][2])
print(n - ans)
```
|
vfc_86310
|
{
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "4.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 3 10 10 50\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 70\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 30\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 40\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 100\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.332538817147148 7.0000000000\n0 0 0 0 0",
"output": "1\n1\n0\n1\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 3 10 10 50\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 96\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 30\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 40\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 100\n3 0\n6 6\n10 10\n4.0000000000 4.0000000000\n7.332538817147148 7.0000000000\n0 0 0 0 0",
"output": "1\n2\n0\n1\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 3 10 10 50\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.303531606464736 7.0000000000\n2 3 10 10 70\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 9 10 30\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 40\n3 3\n6 6\n10 10\n4.0000000000 4.039685712266396\n7.497558194860766 7.0000000000\n2 3 10 10 100\n3 0\n6 6\n10 10\n4.0000000000 4.0000000000\n7.332538817147148 7.0000000000\n0 0 0 0 0",
"output": "1\n1\n1\n1\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 3 7 10 50\n3 3\n6 6\n10 10\n4.0000000000 4.380940502722975\n7.0000000000 7.0000000000\n2 3 10 10 32\n3 3\n7 6\n10 10\n4.1530399119933294 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 30\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 40\n3 3\n6 6\n10 10\n4.0000000000 4.9984975242062175\n7.0000000000 7.0000000000\n2 3 10 10 100\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n0 0 0 0 0",
"output": "2\n1\n0\n1\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 3 10 10 50\n3 3\n6 6\n10 10\n4.0000000000 4.380940502722975\n7.0000000000 7.257128765391302\n2 3 10 10 32\n3 3\n6 6\n10 10\n4.1530399119933294 4.0000000000\n7.0000000000 7.0000000000\n2 3 3 10 30\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n2 3 10 10 40\n3 3\n6 6\n10 10\n4.0000000000 4.9984975242062175\n7.0000000000 7.0000000000\n2 3 10 10 100\n3 3\n6 6\n10 10\n4.0000000000 4.0000000000\n7.0000000000 7.0000000000\n0 0 0 0 0",
"output": "1\n1\n2\n1\n2\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://www.hackerrank.com/challenges/easy-math/problem
|
Solve the following coding problem using the programming language python:
Charlie and Johnny play a game. For every integer X Charlie gives, Johnny has to find the smallest positive integer Y, such that X * Y contains only 4's and 0's and starts with one or more 4's followed by zero or more 0's. (i.e.), 404 is an invalid number but 400 is a valid number.
If a is the number of 4's and b is the number of 0's, can you print the value of 2 * a + b.
Input Format
The first line contains an integer T. T lines follow, each line containing the integer X as stated above.
Output Format
For every X, print the output 2 * a + b in a newline as stated in the problem statement.
Constraints
1<=T<=10^{3}
1<=X<=10^{5}
Sample Input #00
3
4
5
80
Sample Output #00
2
3
4
Explanation
For the 1^{st} test-case, the smallest such multiple of 4 is 4 itself. Hence value of a will be 1 and and value of b will be 0. The required value of 2 * a+b is 2.
For the 2^{nd} test-case, Y = 8 and 40 is the minimum such multiple of 5. Hence value of a,b and 2 * a+b will be 1, 1 and 3 respectively.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from fractions import gcd
from collections import Counter
testcases = int(input())
def factorization(n):
facts = Counter()
while not n % 2:
facts.update({2: 1})
n //= 2
tryval = 3
while tryval ** 2 <= n:
while not n % tryval:
facts.update({tryval: 1})
n //= tryval
tryval += 2
if n > 1:
facts.update({n: 1})
return facts
def totient(n):
prod = 1
for (p, exp) in factorization(n).items():
prod *= (p - 1) * p ** (exp - 1)
return prod
def multorder(n, m):
if gcd(n, m) != 1:
return 0
order = totient(m)
fact = factorization(order)
for p in fact:
while order % p == 0:
if pow(n, order // p, m) == 1:
order //= p
else:
break
return order
def lowest40(baseint):
count2 = 0
count5 = 0
while not baseint % 2:
baseint //= 2
count2 += 1
while not baseint % 5:
baseint //= 5
count5 += 1
return 2 * multorder(10, 9 * baseint) + max(count5, count2 - 2)
for test in range(testcases):
baseint = int(input())
results = lowest40(baseint)
print(results)
```
|
vfc_86314
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/easy-math/problem",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n4\n5\n80\n",
"output": "2\n3\n4\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/670/A
|
Solve the following coding problem using the programming language python:
On the planet Mars a year lasts exactly n days (there are no leap years on Mars). But Martians have the same weeks as earthlings — 5 work days and then 2 days off. Your task is to determine the minimum possible and the maximum possible number of days off per year on Mars.
-----Input-----
The first line of the input contains a positive integer n (1 ≤ n ≤ 1 000 000) — the number of days in a year on Mars.
-----Output-----
Print two integers — the minimum possible and the maximum possible number of days off per year on Mars.
-----Examples-----
Input
14
Output
4 4
Input
2
Output
0 2
-----Note-----
In the first sample there are 14 days in a year on Mars, and therefore independently of the day a year starts with there will be exactly 4 days off .
In the second sample there are only 2 days in a year on Mars, and they can both be either work days or days off.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
print(2 * (n // 7) + n % 7 // 6, 2 * ((n + 5) // 7) + (n + 5) % 7 // 6)
```
|
vfc_86318
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/670/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "14\n",
"output": "4 4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n",
"output": "0 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n",
"output": "0 1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n",
"output": "0 2\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/914/B
|
Solve the following coding problem using the programming language python:
Edogawa Conan got tired of solving cases, and invited his friend, Professor Agasa, over. They decided to play a game of cards. Conan has n cards, and the i-th card has a number a_{i} written on it.
They take turns playing, starting with Conan. In each turn, the player chooses a card and removes it. Also, he removes all cards having a number strictly lesser than the number on the chosen card. Formally, if the player chooses the i-th card, he removes that card and removes the j-th card for all j such that a_{j} < a_{i}.
A player loses if he cannot make a move on his turn, that is, he loses if there are no cards left. Predict the outcome of the game, assuming both players play optimally.
-----Input-----
The first line contains an integer n (1 ≤ n ≤ 10^5) — the number of cards Conan has.
The next line contains n integers a_1, a_2, ..., a_{n} (1 ≤ a_{i} ≤ 10^5), where a_{i} is the number on the i-th card.
-----Output-----
If Conan wins, print "Conan" (without quotes), otherwise print "Agasa" (without quotes).
-----Examples-----
Input
3
4 5 7
Output
Conan
Input
2
1 1
Output
Agasa
-----Note-----
In the first example, Conan can just choose the card having number 7 on it and hence remove all the cards. After that, there are no cards left on Agasa's turn.
In the second example, no matter which card Conan chooses, there will be one one card left, which Agasa can choose. After that, there are no cards left when it becomes Conan's turn again.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
arr = [0] * 100001
inp = [i for i in map(int, input().split())]
for i in range(0, n):
arr[inp[i]] += 1
for i in range(100000, -1, -1):
if arr[i] % 2 == 1:
print('Conan')
exit(0)
print('Agasa')
```
|
vfc_86322
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/914/B",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n4 5 7\n",
"output": "Conan\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n1 1\n",
"output": "Agasa\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n38282 53699 38282 38282 38282 38282 38282 38282 38282 38282\n",
"output": "Conan\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n50165 50165 50165 50165 50165 50165 50165 50165 50165 50165\n",
"output": "Agasa\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n83176 83176 83176 23495 83176 8196 83176 23495 83176 83176\n",
"output": "Conan\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1767/D
|
Solve the following coding problem using the programming language python:
$2^n$ teams participate in a playoff tournament. The tournament consists of $2^n - 1$ games. They are held as follows: in the first phase of the tournament, the teams are split into pairs: team $1$ plays against team $2$, team $3$ plays against team $4$, and so on (so, $2^{n-1}$ games are played in that phase). When a team loses a game, it is eliminated, and each game results in elimination of one team (there are no ties). After that, only $2^{n-1}$ teams remain. If only one team remains, it is declared the champion; otherwise, the second phase begins, where $2^{n-2}$ games are played: in the first one of them, the winner of the game "$1$ vs $2$" plays against the winner of the game "$3$ vs $4$", then the winner of the game "$5$ vs $6$" plays against the winner of the game "$7$ vs $8$", and so on. This process repeats until only one team remains.
The skill level of the $i$-th team is $p_i$, where $p$ is a permutation of integers $1$, $2$, ..., $2^n$ (a permutation is an array where each element from $1$ to $2^n$ occurs exactly once).
You are given a string $s$ which consists of $n$ characters. These characters denote the results of games in each phase of the tournament as follows:
if $s_i$ is equal to 0, then during the $i$-th phase (the phase with $2^{n-i}$ games), in each match, the team with the lower skill level wins;
if $s_i$ is equal to 1, then during the $i$-th phase (the phase with $2^{n-i}$ games), in each match, the team with the higher skill level wins.
Let's say that an integer $x$ is winning if it is possible to find a permutation $p$ such that the team with skill $x$ wins the tournament. Find all winning integers.
-----Input-----
The first line contains one integer $n$ ($1 \le n \le 18$).
The second line contains the string $s$ of length $n$ consisting of the characters 0 and/or 1.
-----Output-----
Print all the winning integers $x$ in ascending order.
-----Examples-----
Input
3
101
Output
4 5 6 7
Input
1
1
Output
2
Input
2
01
Output
2 3
-----Note-----
None
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import sys
import re
import math
from math import log2
from math import log
from math import ceil
from math import gcd
from decimal import *
from datetime import date
from collections import deque
import random
import heapq
import itertools
import datetime
const = 1000000007
ep = 1e-08
def get():
return list(map(int, input().split()))
n = int(input())
line = input()
cannot = {}
(small, big) = (1, 2 ** n)
(smallt, bigt) = (1, 1)
for term in line:
if term == '1':
small += smallt
smallt *= 2
else:
big -= bigt
bigt *= 2
ans = [str(i) for i in range(small, big + 1)]
print(' '.join(ans))
```
|
vfc_86327
|
{
"difficulty": "medium",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1767/D",
"time_limit": "2 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n101\n",
"output": "4 5 6 7 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1\n",
"output": "2 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n01\n",
"output": "2 3 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n00\n",
"output": "1 ",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/CACD2020/problems/PPPR
|
Solve the following coding problem using the programming language python:
Pushkar is very good in Number Theory. He takes two numbers $A\ and\ B$ and declares them a Pushkar Pair. Pushkar Pair has a property that $A$ has a $Modular\ Inverse$ modulo $B$.
He asks you to tell him the largest number $L$ that divides both of them.
-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow.
- Each testcase contains of a single line of input, two integers $A, B$.
-----Output:-----
For each testcase, output in a single line the integer $L$.
-----Constraints-----
- $1 \leq T \leq 1000$
- $2 \leq A,B \leq 10^4$
-----Sample Input:-----
1
3 4
-----Sample Output:-----
1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import math
for i in range(int(input())):
(a, b) = map(int, input().split())
print(math.gcd(a, b))
```
|
vfc_86332
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/CACD2020/problems/PPPR",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n3 4\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/229/A
|
Solve the following coding problem using the programming language python:
You are given a table consisting of n rows and m columns. Each cell of the table contains a number, 0 or 1. In one move we can choose some row of the table and cyclically shift its values either one cell to the left, or one cell to the right.
To cyclically shift a table row one cell to the right means to move the value of each cell, except for the last one, to the right neighboring cell, and to move the value of the last cell to the first cell. A cyclical shift of a row to the left is performed similarly, but in the other direction. For example, if we cyclically shift a row "00110" one cell to the right, we get a row "00011", but if we shift a row "00110" one cell to the left, we get a row "01100".
Determine the minimum number of moves needed to make some table column consist only of numbers 1.
Input
The first line contains two space-separated integers: n (1 ≤ n ≤ 100) — the number of rows in the table and m (1 ≤ m ≤ 104) — the number of columns in the table. Then n lines follow, each of them contains m characters "0" or "1": the j-th character of the i-th line describes the contents of the cell in the i-th row and in the j-th column of the table.
It is guaranteed that the description of the table contains no other characters besides "0" and "1".
Output
Print a single number: the minimum number of moves needed to get only numbers 1 in some column of the table. If this is impossible, print -1.
Examples
Input
3 6
101010
000100
100000
Output
3
Input
2 3
111
000
Output
-1
Note
In the first sample one way to achieve the goal with the least number of moves is as follows: cyclically shift the second row to the right once, then shift the third row to the left twice. Then the table column before the last one will contain only 1s.
In the second sample one can't shift the rows to get a column containing only 1s.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import sys
(n, m) = map(int, input().split())
mp = ['' for i in range(n)]
f = [[0 for j in range(m)] for i in range(n)]
for i in range(n):
mp[i] = input()
if mp[i].find('1') == -1:
print(-1)
sys.exit()
tmp = mp[i][::-1].find('1') + 1
for j in range(m):
if mp[i][j] == '1':
f[i][j] = 0
else:
f[i][j] = f[i][j - 1] + 1 if j > 0 else tmp
tmp = mp[i].find('1') + 1
for j in range(m - 1, -1, -1):
f[i][j] = min(f[i][j], f[i][j + 1] + 1 if j + 1 < m else tmp)
ans = int(1000000000.0)
for j in range(m):
sm = 0
for i in range(n):
sm += f[i][j]
ans = min(ans, sm)
print(ans)
```
|
vfc_86337
|
{
"difficulty": "medium",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/229/A",
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 1\n0\n0\n0\n0\n0\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\n0\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 6\n000001\n100000\n100000\n100000\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 3\n001\n010\n100\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 5\n00001\n10000\n00001\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10 10\n0000000000\n0000001000\n0000000100\n0101000100\n0000000000\n0000000000\n1000110000\n1011010010\n0000100000\n0000001001\n",
"output": "-1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/shortest-uncommon-subsequence5746/1
|
Solve the following coding problem using the programming language python:
Given two strings S and T, find length of the shortest subsequence in S which is not a subsequence in T. If no such subsequence is possible, return -1. A subsequence is a sequence that appears in the same relative order, but not necessarily contiguous. A string of length n has different possible subsequences.
Example 1:
Input:
S = "babab"
T = "babba"
Output:
3
Explanation:
There are no subsequences of S with
length less than 3 which is not a
subsequence of T. "aab" is an example of
a subsequence of length 3 which isn't a
subsequence of T.
Example 2:
Input:
S = "babhi"
T = "babij"
Output:
1
Explanation:
"h" is a subsequence of S that is
not a subsequence of T.
Your Task:
You don't need to read input or print anything. Your task is to complete the function shortestUnSub() which takes two Strings S, and T as input and returns the shortest Uncommon Subsequence.
Expected Time Complexity: O(|S|^{2}*|T|)
Expected Auxiliary Space: O(|S|*|T|)
Constraints:
1 <= |S|, |T| <= 500
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def shortestUnSub(self, S, T):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def __init__(self):
self.indices = {}
def shortestUnSub(self, S, T):
m = len(S)
n = len(T)
dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(n + 1):
dp[0][i] = 501
for i in range(1, m + 1):
dp[i][0] = 1
for i in range(1, m + 1):
for j in range(1, n + 1):
k = j - 1
ch = S[i - 1]
if ch == T[k]:
self.indices[ch] = k
elif ch in self.indices:
k = self.indices[ch]
else:
while k >= 0:
if T[k] == S[i - 1]:
break
k -= 1
self.indices[ch] = k
if k == -1:
dp[i][j] = 1
else:
dp[i][j] = min(dp[i - 1][j], 1 + dp[i - 1][k])
ans = dp[i][j]
if ans >= 501:
ans = -1
return ans
```
|
vfc_86341
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/shortest-uncommon-subsequence5746/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "S = \"babab\"\r\nT = \"babba\"",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "S = \"babhi\"\r\nT = \"babij\"",
"output": "1",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/CUCRLINE
|
Solve the following coding problem using the programming language python:
While playing in the plains, Chef found a point A with coordinates (X, Y).
Chef is interested in finding the number of [straight lines] passing through the point A such that their [intercepts] on both axes are positive integers.
------ Input Format ------
- First and only line of input contains two integers X and Y - the coordinates of the point A.
------ Output Format ------
- For each test case, print an integer - the number of lines satisfying the given conditions.
------ Constraints ------
$1 ≤ X ≤ 10^{12}$
$1 ≤ Y ≤ 10^{12}$
----- Sample Input 1 ------
3 2
----- Sample Output 1 ------
4
----- explanation 1 ------
There are $4$ lines satisfying all the conditions. These lines are:
![image]
----- Sample Input 2 ------
1 2
----- Sample Output 2 ------
2
----- explanation 2 ------
There are $2$ such lines, which are :
![image]
----- Sample Input 3 ------
28 206
----- Sample Output 3 ------
16
----- explanation 3 ------
There are $16$ such lines.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import math
(x, y) = map(int, input().split())
n = x * y
ans = 1
for i in range(2, int(math.sqrt(n)) + 2):
if i > math.sqrt(n) + 1:
break
if n % i == 0:
count = 0
while n % i == 0:
n = n // i
count += 1
ans *= count + 1
if n > 1:
ans *= 2
print(ans)
```
|
vfc_86342
|
{
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CUCRLINE",
"time_limit": "1 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 2",
"output": "4",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
How many different ways can you make change for an amount, given a list of coins? In this problem, your code will need to efficiently compute the answer.
Task
Write a program that, given
An amount N and types of infinite available coins M.
A list of M coins - C={C1,C2,C3,..,CM}
Prints out how many different ways you can make change from the coins to STDOUT.
The problem can be formally stated:
Given a value N, if we want to make change for N cents, and we have infinite supply of each of C={C1,C2,…,CM} valued coins, how many ways can we make the change? The order of coins doesn’t matter.
Constraints
1≤Ci≤50
1≤N≤250
1≤M≤50
The list of coins will contain distinct integers.
Input Format
First line will contain 2 integer N and M respectively.
Second line contain M integer that represent list of distinct coins that are available in infinite amount.
Output Format
One integer which is the number of ways in which we can get a sum of N from the given infinite supply of M types of coins.
SAMPLE INPUT
4 3
1 2 3
SAMPLE OUTPUT
4
Explanation
For N=4 and C={1,2,3} there are four solutions: {1,1,1,1},{1,1,2},{2,2},{1,3}
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
sl = input().split()
N,M = (int(sl[0]),int(sl[1]))
lis = [int(_) for _ in input().split()]
arr = [[0]*M for _ in range(N+1)]
for i in range(M):
arr[0][i] = 1
for i in range(1,N+1):
for j in range(M):
#lis[M] has to be added
x = arr[i-lis[j]][j] if i-lis[j] >=0 else 0
#lis[M] not to be added
y = arr[i][j-1] if j>0 else 0
arr[i][j] = x+y
print(arr[N][M-1])
```
|
vfc_86351
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4 3\n1 2 3",
"output": "4",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/664/A
|
Solve the following coding problem using the programming language python:
Greatest common divisor GCD(a, b) of two positive integers a and b is equal to the biggest integer d such that both integers a and b are divisible by d. There are many efficient algorithms to find greatest common divisor GCD(a, b), for example, Euclid algorithm.
Formally, find the biggest integer d, such that all integers a, a + 1, a + 2, ..., b are divisible by d. To make the problem even more complicated we allow a and b to be up to googol, 10^100 — such number do not fit even in 64-bit integer type!
-----Input-----
The only line of the input contains two integers a and b (1 ≤ a ≤ b ≤ 10^100).
-----Output-----
Output one integer — greatest common divisor of all integers from a to b inclusive.
-----Examples-----
Input
1 2
Output
1
Input
61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576
Output
61803398874989484820458683436563811772030917980576
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def solution(l1):
if l1[0] == l1[1]:
return l1[0]
else:
return 1
def answer():
l1 = [int(x) for x in input().split()]
print(solution(l1))
answer()
```
|
vfc_86361
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/664/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 2\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576\n",
"output": "61803398874989484820458683436563811772030917980576\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 100\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100 100000\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "12345 67890123456789123457\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/BGS12020/problems/BSPSTR
|
Solve the following coding problem using the programming language python:
Teddy and Freddy are two friends. Teddy has a pile of strings of size $N$. Each string $Si$ in the pile has length less or equal to $100$ ($len(Si) \leq 100$).
Teddy and Freddy like playing with strings. Teddy gives Freddy a string $B$ of size $M$.
Teddy and Freddy like playing with strings. Teddy gives Freddy a string $B$ of size $M$.
He asks Freddy to find the count of the unique substrings of $B$ present in pile of strings of size $N$.
Freddy is busy with the some task, so he asks for your help.Help Freddy by giving the unique substrings of $B$ present in pile of strings of size $N$.
Note: The substrings having same permutation of characters are considered same.
-----Input:-----
- First line will contain $N$, number of strings. Then the strings follow.
- Next $N$ lines will contain a string
- $N+2$ line contains the $M$ - length of string B
- Following line contains the string B
-----Output:-----
For each testcase, output in a single line number of unique strings of B.
-----Constraints-----
- $1 \leq N \leq 100$
- $2 \leq len(Si) \leq 100$
- $2 \leq M \leq 100$
-----Sample Input:-----
4
a
abc
abcd
abcde
5
aaaaa
-----Sample Output:-----
1
-----Sample Input:-----
4
a
aa
aaa
aaaa
5
aaaaa
-----Sample Output:-----
4
-----EXPLANATION:-----
TestCase 1: Only substring of $aaaaa$ that is present in the pile of strings is $a$. So the answer is 1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
l = []
for i in range(n):
l.append(input())
m = int(input())
s = input()
c = 0
res = [s[i:j] for i in range(len(s)) for j in range(i + 1, len(s) + 1)]
res = list(dict.fromkeys(res))
for i in res:
if i in l:
c = c + 1
print(c)
```
|
vfc_86365
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/BGS12020/problems/BSPSTR",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\na\nabc\nabcd\nabcde\n5\naaaaa\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\na\naa\naaa\naaaa\n5\naaaaa\n",
"output": "4\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/n-divisors5123/1
|
Solve the following coding problem using the programming language python:
Given three integers A, B, N. Your task is to print the number of numbers between A and B including them, which have N-divisors. A number is called N-divisor if it has total N divisors including 1 and itself.
Example 1:
Input:
A = 1
B = 7
N = 2
Output:
4
Explanation:
2,3,5,7 have 2-divisors
Example 2:
Input:
A = 1
B = 25
N = 3
Output:
3
Explanation:
4,9,25 are the numbers
having 3-divisors
Your Task:
You don't need to read input or print anything. Your task is to complete the function count() which takes integer A, B and N as input parameters and returns an integer, the number of N-divisor number in between A and B inclusive.
Expected Time Complexity: O((B-A) sqrt (B))
Expected Space Complexity: O(1)
Constraints:
1<=A<=B<=10^{4}
1 <= N <= 16
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def count(self,A,B,N):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def count(self, A, B, N):
ans = 0
for x in range(A, B + 1):
count = 0
i = 1
while i * i <= x:
if x % i == 0:
count += 1
if x // i != i:
count += 1
if count > N:
break
i += 1
if count == N:
ans += 1
return ans
```
|
vfc_86369
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/n-divisors5123/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "A = 1\nB = 7\nN = 2",
"output": "4",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "A = 1\nB = 25\nN = 3",
"output": "3",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/DESTCELL
|
Solve the following coding problem using the programming language python:
Anas is playing an amazing game on a grid with $N$ rows and $M$ columns. The rows are numbered $1$ through $N$ from top to bottom and the columns are numbered $1$ through $M$ from left to right.
Anas wants to destroy this grid. To do that, he wants to send two heroes from the top left cell to the bottom right cell:
- The first hero visits cells in row-major order: $(1,1) \rightarrow (1,2) \rightarrow \ldots \rightarrow (1,M) \rightarrow (2,1) \rightarrow (2,2) \rightarrow \ldots \rightarrow (2,M) \rightarrow \ldots \rightarrow (N,M)$.
- The second hero visits cells in column-major order: $(1,1) \rightarrow (2,1) \rightarrow \ldots \rightarrow (N,1) \rightarrow (1,2) \rightarrow (2,2) \rightarrow \ldots \rightarrow (N,2) \rightarrow \ldots \rightarrow (N,M)$.
We know that each hero destroys the first cell he visits, rests in the next $K$ cells he visits without destroying them, then destroys the next cell he visits, rests in the next $K$ cells, destroys the next cell, and so on until he reaches (and rests in or destroys) the last cell he visits.
Anas does not know the value of $K$. Therefore, for each value of $K$ between $0$ and $N \cdot M - 1$ inclusive, he wants to calculate the number of cells that will be destroyed by at least one hero. Can you help him?
-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first and only line of each test case contains two space-separated integers $N$ and $M$.
-----Output-----
For each test case, print a single line containing $N \cdot M$ space-separated integers as described above.
-----Constraints-----
- $1 \le T \le 100$
- $2 \le N, M \le 1,000$
- the sum of $N \cdot M$ over all test cases does not exceed $2 \cdot 10^6$
-----Subtasks-----
Subtask #1 (30 points):
- $2 \le N, M \le 50$
- the sum of $N \cdot M$ over all test cases does not exceed $5,000$
Subtask #2 (70 points): original constraints
-----Example Input-----
1
2 3
-----Example Output-----
6 4 3 3 2 1
-----Explanation-----
Example case 1:
- $K = 0$: All cells will be destroyed by the heroes.
- $K = 1$: The first hero will destroy the cells $[(1,1), (1,3), (2,2)]$, while the second one will destroy the cells $[(1,1), (1,2), (1,3)]$.
- $K = 2$: The first hero will destroy the cells $[(1,1), (2,1)]$, while the second one will destroy the cells $[(1,1), (2,2)]$.
- $K = 3$: The first hero will destroy the cells $[(1,1), (2,2)]$, while the second one will destroy the cells $[(1,1), (1,3)]$.
- $K = 4$: The first hero will destroy the cells $[(1,1), (2,3)]$ and the second one will also destroy the cells $[(1,1), (2,3)]$.
- $K = 5$ : The first hero will destroy the cell $(1,1)$ and the second one will also destroy the cell $(1,1)$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for x in range(int(input())):
(n, m) = map(int, input().split())
y = n * m
l = []
for x in range(n * m):
p = x + 1
if y % p == 0:
ans = 2 * (y // p)
else:
ans = 2 * (y // p + 1)
mu = 0
while mu < y:
n1 = mu // m
m1 = mu % m
y2 = m1 * n + n1
if y2 % (x + 1) == 0:
ans -= 1
mu += x + 1
print(ans, end=' ')
print('')
```
|
vfc_86370
|
{
"difficulty": "hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/DESTCELL",
"time_limit": "2.5 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n2 3\n",
"output": "6 4 3 3 2 1\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/624/C
|
Solve the following coding problem using the programming language python:
One day student Vasya was sitting on a lecture and mentioned a string s1s2... sn, consisting of letters "a", "b" and "c" that was written on his desk. As the lecture was boring, Vasya decided to complete the picture by composing a graph G with the following properties:
* G has exactly n vertices, numbered from 1 to n.
* For all pairs of vertices i and j, where i ≠ j, there is an edge connecting them if and only if characters si and sj are either equal or neighbouring in the alphabet. That is, letters in pairs "a"-"b" and "b"-"c" are neighbouring, while letters "a"-"c" are not.
Vasya painted the resulting graph near the string and then erased the string. Next day Vasya's friend Petya came to a lecture and found some graph at his desk. He had heard of Vasya's adventure and now he wants to find out whether it could be the original graph G, painted by Vasya. In order to verify this, Petya needs to know whether there exists a string s, such that if Vasya used this s he would produce the given graph G.
Input
The first line of the input contains two integers n and m <image> — the number of vertices and edges in the graph found by Petya, respectively.
Each of the next m lines contains two integers ui and vi (1 ≤ ui, vi ≤ n, ui ≠ vi) — the edges of the graph G. It is guaranteed, that there are no multiple edges, that is any pair of vertexes appear in this list no more than once.
Output
In the first line print "Yes" (without the quotes), if the string s Petya is interested in really exists and "No" (without the quotes) otherwise.
If the string s exists, then print it on the second line of the output. The length of s must be exactly n, it must consist of only letters "a", "b" and "c" only, and the graph built using this string must coincide with G. If there are multiple possible answers, you may print any of them.
Examples
Input
2 1
1 2
Output
Yes
aa
Input
4 3
1 2
1 3
1 4
Output
No
Note
In the first sample you are given a graph made of two vertices with an edge between them. So, these vertices can correspond to both the same and adjacent letters. Any of the following strings "aa", "ab", "ba", "bb", "bc", "cb", "cc" meets the graph's conditions.
In the second sample the first vertex is connected to all three other vertices, but these three vertices are not connected with each other. That means that they must correspond to distinct letters that are not adjacent, but that is impossible as there are only two such letters: a and c.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
(n, m) = map(int, input().split())
s = [[0] * n for i in range(n)]
for i in range(m):
(a, b) = map(int, input().split())
s[a - 1][b - 1] = 1
s[b - 1][a - 1] = 1
for i in range(n):
s[i][i] = 1
answer = [0] * n
for i in range(n):
flag = True
for j in range(n):
if s[i][j] == 0:
flag = False
if flag:
answer[i] = 'b'
for i in range(n):
if answer[i] == 0:
answer[i] = 'a'
for j in range(n):
if s[i][j] == 0:
answer[j] = 'c'
if s[i][j] == 1 and answer[j] != 'b':
answer[j] = 'a'
break
flag = True
for i in range(n):
for j in range(n):
if s[i][j] == 1:
if answer[i] == 'a' and answer[j] == 'c' or (answer[i] == 'c' and answer[j] == 'a'):
flag = False
if s[i][j] == 0:
if abs(ord(answer[i]) - ord(answer[j])) < 2:
flag = False
if flag:
print('Yes')
answer = ''.join(answer)
print(answer)
else:
print('No')
```
|
vfc_86378
|
{
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/624/C",
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4 3\n1 3\n2 4\n3 4\n",
"output": "No\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 4\n3 2\n1 3\n6 5\n4 6\n",
"output": "No\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 3\n1 3\n1 4\n3 4\n",
"output": "Yes\nacaa\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 1\n1 2\n",
"output": "Yes\naac\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/number-of-paths-in-a-matrix-with-k-coins2728/1
|
Solve the following coding problem using the programming language python:
Given a N x N matrix such that each of its cells contains some coins. Count the number of ways to collect exactly K coins while moving from top left corner of the matrix to the bottom right. From a cell (i, j), you can only move to (i+1, j) or (i, j+1).
Example 1:
Input:
K = 12, N = 3
arr[] = [[1, 2, 3],
[4, 6, 5],
[3, 2, 1]]
Output: 2
Explanation:
There are 2 possible paths
with exactly K coins, (1 + 2 +
6 + 2 + 1) and (1 + 2 + 3 + 5 + 1).
Example 2:
Input:
K = 16, N = 3
arr[] = [[1, 2, 3],
[4, 6, 5],
[9, 8, 7]]
Output: 0
Explanation:
There are no possible paths that lead
to sum=16
Your Task:
You don't need to read input or print anything. Your task is to complete the function numberOfPath() which takes N, K and 2D matrix arr[][] as input parameters and returns the number of possible paths.
Expected Time Complexity: O(n*n*k)
Expected Auxiliary Space: O(n*n*k)
Constraints:
1 <= K < 100
1 <= N < 100
1 <= arr_{ij} <= 200
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def numberOfPath (self, N, K, arr):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def util(self, a, i, j, n, m, k):
global dp
if i >= n or j >= m or k < 0:
return 0
if i == n - 1 and j == m - 1:
if k - a[i][j] == 0:
return 1
return 0
if dp[i][j][k] != -1:
return dp[i][j][k]
dp[i][j][k] = self.util(a, i + 1, j, n, m, k - a[i][j]) + self.util(a, i, j + 1, n, m, k - a[i][j])
return dp[i][j][k]
def numberOfPath(self, N, K, arr):
global dp
dp = [[[-1 for x in range(K + 1)] for i in range(N)] for j in range(N)]
return self.util(arr, 0, 0, N, N, K)
```
|
vfc_86382
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/number-of-paths-in-a-matrix-with-k-coins2728/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "K = 12, N = 3\r\narr[] = [[1, 2, 3], \r\n [4, 6, 5], \r\n [3, 2, 1]]",
"output": "2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "K = 16, N = 3\r\narr[] = [[1, 2, 3], \r\n [4, 6, 5], \r\n [9, 8, 7]]",
"output": "0",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/FEB16/problems/CHEFDETE
|
Solve the following coding problem using the programming language python:
Chef is a private detective. He was asked to investigate a case of murder in the city of Frangton.
Chef arrived in Frangton to find out that the mafia was involved in the case. Chef spent some time watching for people that belong to the clan and was able to build a map of relationships between them. He knows that a mafia's organizational structure consists of a single Don, heading a hierarchical criminal organization. Each member reports exactly to one other member of the clan. It's obvious that there are no cycles in the reporting system of the mafia.
There are N people in the clan, for simplicity indexed from 1 to N, and Chef knows who each of them report to. Member i reports to member Ri.
Now, Chef needs to identfy all potential killers to continue his investigation. Having considerable knowledge about the mafia's activities, Chef knows that the killer must be a minor criminal, that is, one of the members who nobody reports to. Please find the list of potential killers for Chef. Since Don reports to nobody, his Ri will be equal to 0.
-----Input-----
The first line of input contains one integer N.
Next line has N space-separated integers, the ith integer denotes Ri — the person whom the ith member reports to.
-----Output-----
Output a list of space-separated integers in ascending order — the indices of potential killers.
-----Constraints-----
- 1 ≤ N ≤ 105
- 1 ≤ Ri ≤ N except for Don, whose Ri equals to 0.
- It is guaranteed that there are no cycles in the reporting structure.
-----Subtasks-----
- Subtask #1 [50 points]: N ≤ 10000
- Subtask #2 [50 points]: No additional constraints
-----Example-----
Input:
6
0 1 1 2 2 3
Output:
4 5 6
-----Explanation-----
The reporting structure:
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = eval(input())
r = list(map(int, input().split()))
tree = dict()
i = 1
for j in r:
c = tree.get(j)
if c:
tree[j].append(i)
else:
tree[j] = [i]
if not tree.get(i):
tree[i] = []
i += 1
s = []
for elem in tree:
if not tree[elem]:
s.append(str(elem))
print(' '.join(s))
```
|
vfc_86383
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/FEB16/problems/CHEFDETE",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\n0 1 1 2 2 3\n",
"output": "4 5 6\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1043/A
|
Solve the following coding problem using the programming language python:
Awruk is taking part in elections in his school. It is the final round. He has only one opponent — Elodreip. The are $n$ students in the school. Each student has exactly $k$ votes and is obligated to use all of them. So Awruk knows that if a person gives $a_i$ votes for Elodreip, than he will get exactly $k - a_i$ votes from this person. Of course $0 \le k - a_i$ holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows $a_1, a_2, \dots, a_n$ — how many votes for Elodreip each student wants to give. Now he wants to change the number $k$ to win the elections. Of course he knows that bigger $k$ means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows $a_1, a_2, \dots, a_n$ — how many votes each student will give to his opponent. Help him select the smallest winning number $k$. In order to win, Awruk needs to get strictly more votes than Elodreip.
-----Input-----
The first line contains integer $n$ ($1 \le n \le 100$) — the number of students in the school.
The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \leq a_i \leq 100$) — the number of votes each student gives to Elodreip.
-----Output-----
Output the smallest integer $k$ ($k \ge \max a_i$) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
-----Examples-----
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
-----Note-----
In the first example, Elodreip gets $1 + 1 + 1 + 5 + 1 = 9$ votes. The smallest possible $k$ is $5$ (it surely can't be less due to the fourth person), and it leads to $4 + 4 + 4 + 0 + 4 = 16$ votes for Awruk, which is enough to win.
In the second example, Elodreip gets $11$ votes. If $k = 4$, Awruk gets $9$ votes and loses to Elodreip.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
n = int(input())
a = list(map(int, input().split()))
mayor = max(a)
el = sum(a)
while mayor > 0:
total = 0
for i in range(len(a)):
aux = a[i]
aux = mayor - aux
total = total + aux
if total > el:
print(mayor)
break
else:
mayor = mayor + 1
```
|
vfc_86387
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1043/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n1 1 1 5 1\n",
"output": "5",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n2 2 3 2 2\n",
"output": "5",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/josephus-problem/1
|
Solve the following coding problem using the programming language python:
Given the total number of persons n and a number k which indicates that k-1 persons are skipped and kth person is killed in circle in a fixed direction.
After each operation, the count will start from k+1th person. The task is to choose the safe place in the circle so that when you perform these operations starting from 1st place in the circle, you are the last one remaining and survive.
Example 1:
Input:
n = 3 k = 2
Output: 3
Explanation: There are 3 persons so
skipping 1 person i.e 1st person 2nd
person will be killed. Thus the safe
position is 3.
Example 2:
Input:
n = 5 k = 3
Output: 4
Explanation: There are 5 persons so
skipping 2 person i.e 3rd person will
be killed. Thus the safe position is 4.
Your Task:
You don't need to read input or print anything. You are required to complete the function josephus () that takes two parameters n and k and returns an integer denoting safe position.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(N).
Constraints:
1 <= k, n <= 20
Write your solution by modifying this code:
```python
#Complete this function
class Solution:
def josephus(self,n,k):
#Your code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def josephus_(self, n, k):
if n == 0:
return 0
else:
return (self.josephus_(n - 1, k) + k) % n
def josephus(self, n, k):
return self.josephus_(n, k) + 1
```
|
vfc_86391
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/josephus-problem/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "n = 3 k = 2",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "n = 5 k = 3",
"output": "4",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/NQST2020/problems/WINALL
|
Solve the following coding problem using the programming language python:
Congratulations !!! You have successfully completed the heist by looting all the gifts in Santa's locker. Now it's time to decide who gets to take all the gifts, you or the Grinch, there will be no splitting. So you and Grinch decide to play a game.
To start the game, an Integer N will be given. The game is played in turns and for each turn, the player can make any one of the following moves:
- Divide N by any of it's odd divisors greater than 1.
- Subtract 1 from N if N is greater than 1.
Divisor of a number includes the number itself.
The player who is unable to make a move loses the game.
Since you are the mastermind of the heist, you get to play the first move.
-----Input-----
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases. The description of the test cases follows.
The only line of each test case contains a single integer — N (1 ≤ N ≤ 109).
-----Output-----
For each test case, print " Me" if you win, and " Grinch" if otherwise (without quotes).
-----Sample Input-----
7
1
2
3
4
5
6
12
-----Sample Output-----
Grinch
Me
Me
Grinch
Me
Grinch
Me
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
import math
def findWinner(n, k):
cnt = 0
if n == 1:
print('Grinch')
elif n & 1 or n == 2:
print('Me')
else:
tmp = n
val = 1
while tmp > k and tmp % 2 == 0:
tmp //= 2
val *= 2
for i in range(3, int(math.sqrt(tmp)) + 1):
while tmp % i == 0:
cnt += 1
tmp //= i
if tmp > 1:
cnt += 1
if val == n:
print('Grinch')
elif n / tmp == 2 and cnt == 1:
print('Grinch')
else:
print('Me')
def __starting_point():
for i in range(int(input())):
n = int(input())
findWinner(n, 1)
__starting_point()
```
|
vfc_86394
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/NQST2020/problems/WINALL",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "7\n1\n2\n3\n4\n5\n6\n12\n",
"output": "Grinch\nMe\nMe\nGrinch\nMe\nGrinch\nMe\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1145/B
|
Solve the following coding problem using the programming language python:
-----Input-----
The input contains a single integer $a$ ($1 \le a \le 99$).
-----Output-----
Output "YES" or "NO".
-----Examples-----
Input
5
Output
YES
Input
13
Output
NO
Input
24
Output
NO
Input
46
Output
YES
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
k = ['', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine', 'ten', 'eleven', 'twelve', 'thirteen', 'fourteen', 'fifteen', 'sixteen', 'seventeen', 'eighteen', 'nineteen']
n = ['', '', 'twenty', 'thirty', 'forty', 'fifty', 'sixty', 'seventy', 'eighty', 'ninety']
a = int(input())
if a < 20:
a = k[a]
else:
a = n[a // 10] + k[a % 10]
if 'k' in a or 'a' in a or 'n' in a:
print('NO')
else:
print('YES')
```
|
vfc_86398
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1145/B",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "13\n",
"output": "NO\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/cb02d40f50b0113c47cd9036e5f340bb51b32289/1
|
Solve the following coding problem using the programming language python:
Given Preorder, Inorder and Postorder traversals of some tree of size N. The task is to check if they are all of the same tree or not.
Example 1:
Input:
N = 5
preorder[] = {1, 2, 4, 5, 3}
inorder[] = {4, 2, 5, 1, 3}
postorder[] = {4, 5, 2, 3, 1}
Output: Yes
Explanation:
All of the above three traversals
are of the same tree.
1
/ \
2 3
/ \
4 5
Example 2:
Input:
N = 5
preorder[] = {1, 5, 4, 2, 3}
inorder[] = {4, 2, 5, 1, 3}
postorder[] = {4, 1, 2, 3, 5}
Output: No
Explanation: The three traversals can
not be of the same tree.
Your Task:
You don't need to read input or print anything. Complete the function checktree() which takes the array preorder[ ], inorder[ ], postorder[ ] and integer N as input parameters and returns true if the three traversals are of the same tree or not.
Expected Time Complexity: O(N^{2})
Expected Auxiliary Space: O(N)
Constraints:
1 ≤ N ≤ 10^{3}
Node values are unique.
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def checktree(self, preorder, inorder, postorder, N):
# Your code goes here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
class Solution:
def check(self, pre, l1, r1, ino, l2, r2, post, l3, r3):
if l2 > r2:
return True
if pre[l1] != post[r3]:
return False
try:
idx = ino.index(pre[l1])
except ValueError:
return False
return self.check(pre, l1 + 1, idx - l2 + l1, ino, l2, idx - 1, post, l3, l3 + idx - l2 - 1) and self.check(pre, r1 + 1 - r2 + idx, r1, ino, idx + 1, r2, post, r3 + idx - r2, r3 - 1)
def checktree(self, preorder, inorder, postorder, N):
return self.check(preorder, 0, N - 1, inorder, 0, N - 1, postorder, 0, N - 1)
```
|
vfc_86402
|
{
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/cb02d40f50b0113c47cd9036e5f340bb51b32289/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 5\npreorder[] = {1, 2, 4, 5, 3}\ninorder[] = {4, 2, 5, 1, 3}\npostorder[] = {4, 5, 2, 3, 1}",
"output": "Yes",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 5\npreorder[] = {1, 5, 4, 2, 3}\ninorder[] = {4, 2, 5, 1, 3}\npostorder[] = {4, 1, 2, 3, 5}",
"output": "No",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Given a string of length n s = s1, s2,…, sn and m queries. Each query qk (1 ≤ k ≤ m) is one of four types, "L ++", "L-", "R ++", "R-", and l [for the kth query qk. k] and r [k] are defined below.
* L ++: l [k] = l [k-1] + 1, r [k] = r [k-1]
* L-: l [k] = l [k-1] -1, r [k] = r [k-1]
* R ++: l [k] = l [k-1], r [k] = r [k-1] +1
* R-: l [k] = l [k-1], r [k] = r [k-1] -1
However, l [0] = r [0] = 1.
At this time, how many kinds of character strings are created for m substrings sl [k], sl [k] + 1,…, sr [k] -1, sr [k] (1 ≤ k ≤ m). Answer if you can.
Constraints
* The string s consists of a lowercase alphabet
* 1 ≤ n ≤ 3 x 105
* 1 ≤ m ≤ 3 × 105
* qk (1 ≤ k ≤ m) is one of "L ++", "L-", "R ++", "R-"
* 1 ≤ l [k] ≤ r [k] ≤ n (1 ≤ k ≤ m)
Input
Input is given in the following format
> n m
> s
> q1
> q2
>…
> qm
>
Output
Output the solution of the problem on one line
Examples
Input
5 4
abcde
R++
R++
L++
L--
Output
3
Input
4 6
abab
R++
L++
R++
L++
R++
L++
Output
4
Input
10 13
aacacbabac
R++
R++
L++
R++
R++
L++
L++
R++
R++
L--
L--
R--
R--
Output
11
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def main():
(n, m) = map(int, input().split())
s = input()
mem = set()
base = ord('a') - 1
mod1 = 1000000007
mod2 = 2147483647
h1 = [0]
h2 = [0]
for c in s:
h1.append((h1[-1] * 27 + ord(c) - base) % mod1)
h2.append((h2[-1] * 27 + ord(c) - base) % mod2)
pow_mem1 = {0: 1}
pow_mem2 = {0: 1}
def my_pow1(x):
if x in pow_mem1:
return pow_mem1[x]
pow_mem1[x] = my_pow1(x - 1) * 27 % mod1
return pow_mem1[x]
def my_pow2(x):
if x in pow_mem2:
return pow_mem2[x]
pow_mem2[x] = my_pow2(x - 1) * 27 % mod2
return pow_mem2[x]
left = right = 1
for _ in range(m):
com = input()
if com == 'L++':
left += 1
if com == 'L--':
left -= 1
if com == 'R++':
right += 1
if com == 'R--':
right -= 1
x = (h1[right] - h1[left - 1] * my_pow1(right - left + 1)) % mod1
y = (h2[right] - h2[left - 1] * my_pow2(right - left + 1)) % mod2
mem.add((x, y))
print(len(mem))
main()
```
|
vfc_86403
|
{
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "2.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4 6\nbaba\nR++\nL++\nR++\nL++\nR++\nL++",
"output": "4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 4\nabcde\nR++\nR++\nL++\nL--",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 2\nabdde\nR++\nR++\nL++\nL--",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 6\nbaab\nR++\nL++\nR++\nL++\nR++\nL++",
"output": "5\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://www.hackerrank.com/challenges/reverse-shuffle-merge/problem
|
Solve the following coding problem using the programming language python:
Given a string, $\mbox{A}$, we define some operations on the string as follows:
a. $reverse(A)$ denotes the string obtained by reversing string $\mbox{A}$. Example: $\text{reverse()abc''})=\text{"cba''}$
b. $shuffle(A)$ denotes any string that's a permutation of string $\mbox{A}$. Example: $\textsf{shuffle("good^n)}\:\in\:\:['\textsf{good'},\:\:'\textsf{gdo'},\:\:\textsf{'cgd'},\:\:\textsf{'oddg'},\:\:\textsf{'dgo'},\:\:\textsf{'dog'}]$
c. $\textit{merge}(A1,A2)$ denotes any string that's obtained by interspersing the two strings $A\mathbf{1}$ & $A2$, maintaining the order of characters in both. For example, $\textbf{A1}=\textbf{"abc''}$ & $\textbf{A2}=\textbf{"def"}$, one possible result of $\textit{merge}(A1,A2)$ could be $\textbf{"abcdef"}$, another could be $\textbf{"abdef"}$, another could be $\textbf{"adbecf"}$ and so on.
Given a string $\boldsymbol{\mathrm{~S~}}$ such that $\textbf{s}\in\textbf{merge(reverse(A)},\:\textbf{shuffle(A)})$ for some string $\mbox{A}$, find the lexicographically smallest $\mbox{A}$.
For example, $s=a b a b$. We can split it into two strings of $\boldsymbol{ab}$. The reverse is $\textbf{ba}$ and we need to find a string to shuffle in to get $\boldsymbol{abab}$. The middle two characters match our reverse string, leaving the $\boldsymbol{\alpha}$ and $\boldsymbol{b}$ at the ends. Our shuffle string needs to be $\boldsymbol{ab}$. Lexicographically $ab<ba$, so our answer is $\boldsymbol{ab}$.
Function Description
Complete the reverseShuffleMerge function in the editor below. It must return the lexicographically smallest string fitting the criteria.
reverseShuffleMerge has the following parameter(s):
s: a string
Input Format
A single line containing the string $\boldsymbol{\mathrm{~S~}}$.
Constraints
$\boldsymbol{\mathrm{~S~}}$ contains only lower-case English letters, ascii[a-z]
$1\leq|s|\leq10000$
Output Format
Find and return the string which is the lexicographically smallest valid $\mbox{A}$.
Sample Input 0
eggegg
Sample Output 0
egg
Explanation 0
Split "eggegg" into strings of like character counts: "egg", "egg"
reverse("egg") = "gge"
shuffle("egg") can be "egg"
"eggegg" belongs to the merge of ("gge", "egg")
The merge is: $\boldsymbol{\mathrm{~e~}}$gge$\mbox{gg}$.
'egg' < 'gge'
Sample Input 1
abcdefgabcdefg
Sample Output 1
agfedcb
Explanation 1
Split the string into two strings with like characters: $abcdefg$ and $abcdefg$.
Reverse $abcdefg$ = $gfeedcba$
Shuffle $gfeedcba$ can be $bcdefga$
Merge to $\boldsymbol{\alpha}$bcdefga$bcdefg$
Sample Input 2
aeiouuoiea
Sample Output 2
aeiou
Explanation 2
Split the string into groups of like characters: $a e i o u$
Reverse $a e i o u$ = $u o iea$
These merge to $a e i o u$uoiea
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import Counter, defaultdict
from bisect import bisect
def solve(s):
word = Counter(s)
for (k, v) in word.items():
word[k] = v // 2
revleft = word.copy()
(skipped, avail) = (Counter(), Counter())
locs = defaultdict(list)
for (i, c) in enumerate(s):
locs[c].append(i)
ans = []
live = len(s) - 1
dead = len(s)
while revleft:
leftc = s[live]
avail[leftc] += 1
while avail[leftc] + skipped[leftc] > word[leftc]:
cnew = min((c for c in avail.keys() if avail[c] > 0 and revleft[c] > 0))
ans.append(cnew)
avail[cnew] -= 1
revleft[cnew] -= 1
if revleft[cnew] == 0:
del revleft[cnew]
i = bisect(locs[cnew], dead - 1) - 1
i = locs[cnew][i]
assert s[i] == cnew
for c in s[i + 1:dead]:
avail[c] -= 1
skipped[c] += 1
dead = i
assert live <= i
live -= 1
return ''.join(ans)
print(solve(input()))
```
|
vfc_86407
|
{
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/reverse-shuffle-merge/problem",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "eggegg\n",
"output": "egg\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "abcdefgabcdefg\n",
"output": "agfedcb\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "aeiouuoiea\n",
"output": "aeiou\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Captain Jack Sparrow and Davy Jones are having a furious sword fight to gain the key to the chest containing Davy Jones' heart. Jack wants to kill Davy Jones and live forever as the captain of The Flying Dutchman. On the other hand, Davy Jones wants to save himself from death.
A string is hanging between them. With each strike of a sword, they can strike down any one character from the string. If at any point of time before striking down a character, either of them is able to make a palindrome from the characters of the string (any anagram of the string) , he can strike down the entire string in one shot and defeat his opponent. It is known that Jack gets the first chance to strike and strikes are made alternatively by both of them.
Given the string that is hanging between them, determine who wins the fight provided that both fight to achieve their target i.e. fight optimally.
Input
The first line of each file contains T, the number of test cases.
Each of the next T line contains a string S consisting of only lower case characters (a-z).
Output
For each test case, print in a new line the winner of the sword fight - "JACK" or
"DAVY JONES" (quotes for clarity only).
Constraints
1 ≤ T ≤ 100
1 ≤ length of string S ≤ 100000
NOTE
There is partial marking for this question.
SAMPLE INPUT
2
aba
abca
SAMPLE OUTPUT
JACK
DAVY JONES
Explanation
For 2nd test case if Jack wants to win then by playing optimally he removes 'a' from the string. Else 'aca' or 'aba' will be formed by removing 'b' or 'c' respectively, which can be cut in one go as they are palindromes by Davy Jones where he would win. So Davy Jones will be left with 'bca'. Now all are distinct characters, in which he removes any one of the three. In next turn Jack removes another character and finally Davy Jones gets only single character where he wins.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def py_2():
t = eval(input())
for tt in range(t):
freq = [0]*26
s = input()
slen = len(s)
for i in range(slen):
#print ord(s[i])-97
freq[ord(s[i])-97] += 1
c = 0
for i in range(26):
if freq[i]%2:
c += 1
if c==0:
print('JACK')
elif c%2:
print('JACK')
else:
print('DAVY JONES')
py_2()
```
|
vfc_86411
|
{
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": 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"output": "DAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\naaxuyjzrefdabvawauealoiiejjxodarxnpatgwyzmawaqvchgcenndmwcitoaxgvnxkxkmysdvdvliakxvaroekvrbuwwfbsgpxerbtcozcqsxnllzygbpwuqwbykyvcjngpnpodxaayuwfhvgilzozqbrphwlsgigugdmfzcegvhaebhjnegsrtmifazspjjoshvnpzqznwvhspvlzukbxbwgazafsmgxvnsrtqzlquizpkxdjorkjjrnsjdbaavctrvqrywisnsvsjetakxbagmtshykwtdxjhkermmuiwltxyyvraoybmcvvrfkrvghbenvaxujbkthluucbbsmfsiwiaecgrvgedbomddxhxamzzljmwvxttvskxgotmzggivdqffkhbktwozpzthdoftpcecybqmsjavitszwgahufikaydtvzybfbconkuukthmkwaydfbstlxkkzznmazdslgpiyzhyzuqaiumkvazdvoxzdkgbkeemhwnvwdrvlqrigsqkffuuxgxrfankplojgwqolbrytdrelvinuhryyngeyzxrfckxbxenbanklmkvmeqhmlghycfqpinszubknotcgueumxmjztkzkzcgtdgvkeplstnqvewczbolobyynjhjyfqlivfphgynycjkwhzugygwnvqcnajdcekkipmfrixubihzqrposuaejexeafxzxlfpnhfggxiuyymtayvmtmucjaqqnxrcmllwfusfvswdruwemkjlhpxqhjpyvjwrqtmclotgxxvwvawtdlztrtniyfkspnkmytsqfohbtyxxrytwvthuighawujstznnsdtpqfgnokjkeywvrizrkrsleesbqucuvqpvmefhustcbkansgqbplgj\njuygvmkcznibxfeatysbuxwwodpasayizpsunzgdfjlncoouhmwrsgowjcrtzfcouulckwbqasswxqboiomlkgisaanhdmjgdtrspzkogthdqbjvawpovbuzhblfgwcrtjhmbyqspwpjntygngbiwmldhzlkzjohqoanelowvpauxzqcdacnolndcobxtskbhfjdykpmchbljptkuykkluaooevjwjcgjuucenuxwzcqgdpiihaofuhtlgjpcsupauhgdolrntbrcjmebsntvtydwantmvldzraksfcvpwdoklnhgdnnqocwzdcqnatjaobfdfwkpyoxyblnwvkngfhzqqrfwrocitsoakpxaxizyrhveqilufdeihjtzqriyzzornntjzemixremsugvc\nzosgprhwesprxytpguahivddjcxvldytbwjgejskcvwxjfijfvepntycdjpfdthfvdmqhnyhlcrddkkpstpegoyhayzufkdljoknuqhzbhipvvoqcjjuixilnehmykzutrhmemjhzjioiutdvpxrkhbsybyihijnqkcqtqupodvorixsqsnkbsvgpjhmytkevipmwnufylzzfczdmpymtroxncomixqfcsttxjfqwneetdbenfdjsfphvgbhocchqdeqhrpbgqolcbbmukirhmuuyzyjdpomzoumnzlprzlidajjfovcuwiedjvdatignxwjvolwvvnymzvrhodjqitpqsczcdvewuwtkftmhkmbktlfclutyngfrorvcupqtghygorjyixoyrarnunwnkvhbyxeryzayozxcehxmxsnfwcsjpguyiascbogajdniabmiqnvmskqiicyzxqrnplbhqiypacctbvdtobdkbqmupfdaitknhxsddncpyewwglfofbtrgkhwctcvzztqtolfkvmrdjfyrvbqwodnpycoyonfdysbavdcyerkkhjkbjpqvgstdrtdxmhawzwwcpbwomtfawkhtyhglkwcoouzvjsjxqmywckudqcvdzamlmwlglnbutwivaepyesofemslkxtclkcywcctvvdpftnnlupclgarrrtcjvnreonoqnilgsjqwppxmweciczhtpfiqzijfcoeptzmdvyasrkzaihifwnoucfpxknnkgrlfdldjdscpbgenhnzqydeoiwnqlbhjlynoeyukpqyldgdwzquyiramxcsmjtmoucnbuwotbpycmuocixvmmidmn\niczqfphsxshqcsp\nxjurghrgzagtlyuujuchqfeameduulgigqstgufljnapqsvhknkxxezwttttdeiybswsgzublfjprejruvxtyfdjnufvmrrbvakkldcbbsgnzkdhkotfudsfybdshuuhrmbxdoftkgnwvsjuogdgtuqvowipqftdjehgpmrdzzymifhpobdjximspzrtbtnbuixyudqcjlmicziddblrofrtdqompqcatgzmqrqajknsxdfyoifbxvtnwwriuhygsvvcoghwxqvrumjvogddghyrxdnosreuywqbbarlnghqoooutggdreygxkkuqiepopikpcyemeplnnquxwxeyynsbdahhwyfuvxckupijdtnofdpsulyeudkhpdexehrwqdahwjskmimhazefougckgrvkymizcprcnyvgalocwrjlomtushfocqseucdxmwcpktvqsacokkbsqhngaqxozadmbnwhbecmuzygstqcukhhjoeoswsmzsdupajhbcojfrgsmvnxmmukxnelkslppphzapovmfkfexlmkyasdldtnhizxwpncqhvpxsbqvggtikncodtnetucobqllhlevbdnbsniwtdidsddaebcqefndurhxtahfspzeexwxegkwpqspwalmocydjxpndyqonhwlacuwvvzzuoxleipuwrrfhflftvpkevjbqiyctrtpudcnnhrpfjzoqwcghrmokhftnctinddyzxfbfgnunydqqeytdsejxwrltzpzfjkvyqlpbtbmrtainhbccfxtuekwwzaglawhsfiaajtiypgescqkvfjtakwmzagqichxfferojrxeinhtbjfdsrttcpurqvunffmggzxcdmikkvhozoukbjistesatkztjejrntdiouhdqirahclvcaosdblqeizbsfvjuhnlbjfjammarmdadmcuiqasqetnwdpnpqvw\ntrjhzkunmraylvcdevmtuyfzwlrqxkzxfwevleoeuckdoecujxkcyfgnieccsuizclqpewrgazukdmpszkevzzbyhzyvxskoyjnnzdjyiepihhkvlxxoxttbolgihvrqzjcfflwyeqbdwyrucqzzoqsukfvwaixtdguvpdejarzawlpliexithehfqrraqsvodwilwyldsgygsjspqaqgypcblbigtnsjqkkxjvyuvingsljdsphagbpwmyeouhwfgkyuttrkvobseuiouoqjpuineookdudusardouifprnanfyhvyktfpxdditdnqxorfzrpyqctjavyqrnzatzbjdpqddkstzsgtgowohvodwcpyfexudlwhojjtnlthzywauyyqiuaqurirnqwgglmnqvstpczohquwxjropygai\nywbqrlmmoaldjottnevhwqftalcpkrmwriamrkwtcotlpcptczpvtoymoyrdzmknqtbktdqbpvgsofvkirlhlgzibvgkwuknyaqvsjlavbyimezwiwzdsamlwxyziwwjvdapxvnezlndtmjyvmifpxhzvmexcsanjtjpgqdnyhgriulskfzejmuftduiozphbvmpukjtcfrxswelwacceedsqfvulirytstzfzdhhmriyuwlgykcqfqrzozxxtxcgahydumtmtnuhkkuvypeurboppgsorudxvvmyqolxyhnhanzasbgqhrjtxqcpsumyvizogidxuvhoopawyudpkubiebhlrrkfitoqcpoxgwvlcyehblbwahfcjurznyxsccnvaxeqqulsczjskwqyinsqfziusmthegeowzdhjybusvzmkiocheeeinugyvtlhtqhisjbjkmevyvmbkqpjghlfhqfaexeoctlkbsfdtdbojfnnwvwhbbtsprqrpfzznuzobfkypskmcjoogthonqxcqjvsovastfcgkdsowfobfuwwgwzepmiovylwtgzopkncdlukktxngqvhsskcthqalbfzyfrgbqxhkhxwboulnxchoeghfjqtvwgljkxhepjaxvubsytsgofygjaraqshrnlfkbhuyabyjamkjrafsuicjjdivpvrehqqisjxslmvnwuadecepvigfmpfnhdcyyujjkgcacxbqxxzvcayezmxsqejptrovnfsihgqlkpnhysdjllawaeokgbtzpaarkrbexegydheebeqljmsjcijvgmlljzdydvepvdwgfapbfrgrafjllnodmqdvmzocnihfxsjwppuhkenrbnncfdscrfpwbwhnsnqpemfqbwjecohqgpwyldqeyplytdiiavcorulxbasakeamrkbsszgmxwftscsdumykjhutgjjlkbqyhgeehdvyuuxz\nkmxemtosvydqomhsbyyupbaingqkghopdijszbwebcdqrzmnnpvxvwaopdmxvvnpqzzjapanipjgmoestrbnkwjbubmnnrqomwbondmrbyribpwagxjzpwgrzrmipdeglzbnswwyjvizbvgtusrxicarbfkbvfznevxuffyslewtihevgmadovcvsalqrogdfdqtqqgmeildecgwnkqhqgofvtjzqlztbrkeuamxngopaogoouwzrhalpipnpgsginpxbdnhdgxvonkaspebuffkzezbeijdfwxiqgfuujpkhkcwlcupmghhyfexiidgvvidsucpnybqsqmacpexklqoqworlquxdxwefjqkfhoflieiqdmtthqfauemjzdbaflrnmhnzfbqjyjvurcoyerwibwglzrhghhzqkdno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"output": "JACK\nJACK\nJACK\nJACK\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100\naabbccddeeffgghh\naabbccddeeffgghhrrttd\naabbccddggrrfftteess\nanbcghdyturjskxal\nhmd\ncqhul\npij\nmrwlfyl\nuktm\ndjvyymt\npljctd\ndp\nbknhxuau\naiotwiytx\nqvmcqybilc\nxhvnyz\nhiz\nofqylznbpy\nlpfhxrkqyg\npesoogpfga\nmizijsiny\nlnpnsglin\nurunpxl\nqgw\nzmslbx\nmvztxu\nu\nfddta\narbgjn\ntubptgbhqa\nloscc\nufixn\nh\nek\ncfewblndij\nkxzqqr\nnczii\nwxtuzc\nkxt\ndeqwts\nyy\nsc\naehdzgd\nmnzsk\nugmp\nqsyjki\nlquuwnmoyt\nsjgxcbxoj\nv\nznhx\nfxsze\njsboggzbgz\nun\nqszkjt\nxpazjl\nfhadxiewy\nknmu\nbvadgx\nxtosmzvkss\nyphiyl\nrtf\nvkzdbxj\nmo\nvxve\nftwvmgh\nwga\npml\nzmikrvfa\noxrkvem\nwgmn\nb\ncbs\nubf\nj\nlufyxm\ntpkzsogntu\nddcgt\ndbakrc\nci\njeatqrjj\nwnr\njkxlqett\nkmztaep\nxlpfywvxz\nfuqlnrsys\ndv\ndpmjvegzqj\npedsjpm\npmmujvix\np\nkjaso\nmufuk\nmchgroc\nvjomdjx\nvfvzjt\nmspxyii\nhdqeg\nbmoitn\njnpqhup\nzjisey",
"output": "DAVY JONES\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK\nJACK\nJACK\nDAVY JONES\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nJACK\nJACK\nDAVY JONES\nDAVY JONES\nDAVY JONES\nJACK",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://practice.geeksforgeeks.org/problems/validate-an-ip-address-1587115621/1
|
Solve the following coding problem using the programming language python:
Write a program to Validate an IPv4 Address.
According to Wikipedia, IPv4 addresses are canonically represented in dot-decimal notation, which consists of four decimal numbers, each ranging from 0 to 255, separated by dots, e.g., 172.16.254.1 .
A valid IPv4 Address is of the form x1.x2.x3.x4 where 0 <= (x1, x2, x3, x4) <= 255.
Thus, we can write the generalized form of an IPv4 address as (0-255).(0-255).(0-255).(0-255).
Note: Here we are considering numbers only from 0 to 255 and any additional leading zeroes will be considered invalid.
Your task is to complete the function isValid which returns 1 if the given IPv4 address is valid else returns 0. The function takes the IPv4 address as the only argument in the form of string.
Example 1:
Input:
IPv4 address = 222.111.111.111
Output: 1
Explanation: Here, the IPv4 address is as
per the criteria mentioned and also all
four decimal numbers lies in the mentioned
range.
Example 2:
Input:
IPv4 address = 5555..555
Output: 0
Explanation: 5555..555 is not a valid
IPv4 address, as the middle two portions
are missing.
Your Task:
Complete the function isValid() which takes the address in the form of string s as an input parameter and returns 1 if this is a valid address otherwise returns 0.
Expected Time Complexity: O(N), N = length of the string.
Expected Auxiliary Space: O(1)
Constraints:
1<=length of string <=50
Note: The Input/Output format and Example given are used for the system's internal purpose, and should be used by a user for Expected Output only. As it is a function problem, hence a user should not read any input from stdin/console. The task is to complete the function specified, and not to write the full code.
Write your solution by modifying this code:
```python
#User function Template for python3
def isValid(s):
#code here
```
Your solution should implemented in the function "isValid". The inputs will be passed to it and it should return the correct solution.
Now solve the problem and return the code.
|
```python
def has_leading_zero(n):
if len(n) > 1:
if n[0] == '0':
return True
else:
return False
def in_range(n):
if n >= 0 and n <= 255:
return True
return False
def isValid(s):
newstr = s.split('.')
flag = 1
if len(newstr) != 4:
return 0
for ele in newstr:
if len(ele) == 0:
return 0
if has_leading_zero(ele):
return 0
try:
ele = int(ele)
if not in_range(ele):
return 0
except:
return 0
return 1
```
|
vfc_86415
|
{
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/validate-an-ip-address-1587115621/1",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": "isValid",
"input": "IPv4 address = 222.111.111.111",
"output": "1",
"type": "function_call"
},
{
"fn_name": "isValid",
"input": "IPv4 address = 5555..555",
"output": "0",
"type": "function_call"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/1635/A
|
Solve the following coding problem using the programming language python:
You are given an array $a$ of size $n$.
You can perform the following operation on the array:
Choose two different integers $i, j$ $(1 \leq i < j \leq n$), replace $a_i$ with $x$ and $a_j$ with $y$. In order not to break the array, $a_i | a_j = x | y$ must be held, where $|$ denotes the bitwise OR operation . Notice that $x$ and $y$ are non-negative integers.
Please output the minimum sum of the array you can get after using the operation above any number of times.
-----Input-----
Each test contains multiple test cases. The first line contains the number of test cases $t$ $(1 \leq t \leq 1000)$. Description of the test cases follows.
The first line of each test case contains an integer $n$ $(2 \leq n \leq 100)$ — the size of array $a$.
The second line of each test case contains $n$ integers $a_1, a_2, \ldots ,a_n$ $(0 \leq a_i < 2^{30})$.
-----Output-----
For each test case, print one number in a line — the minimum possible sum of the array.
-----Examples-----
Input
4
3
1 3 2
5
1 2 4 8 16
2
6 6
3
3 5 6
Output
3
31
6
7
-----Note-----
In the first example, you can perform the following operations to obtain the array $[1, 0, 2]$:
1. choose $i = 1, j = 2$, change $a_1 = 1$ and $a_2 = 2$, it's valid since $1 | 3 = 1 | 2$. The array becomes $[1, 2, 2]$.
2. choose $i = 2, j = 3$, change $a_2 = 0$ and $a_3 = 2$, it's valid since $2 | 2 = 0 | 2$. The array becomes $[1, 0, 2]$.
We can prove that the minimum sum is $1 + 0 + 2 = 3$
In the second example, We don't need any operations.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
for s in [*open(0)][2::2]:
x = 0
print([(x := (x | int(i))) for i in s.split()][-1])
```
|
vfc_86416
|
{
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1635/A",
"time_limit": "1 second"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n3\n1 3 2\n5\n1 2 4 8 16\n2\n6 6\n3\n3 5 6\n",
"output": "3\n31\n6\n7\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Nantendo Co., Ltd. has released a game software called Packet Monster. This game was intended to catch, raise, and fight monsters, and was a very popular game all over the world.
This game had features not found in traditional games. There are two versions of this game, Red and Green, and the monsters that can be caught in each game are different. The monsters that can only be caught by Red are Green. To get it at, use a system called communication exchange. In other words, you can exchange monsters in your software with monsters in your friend's software. This system greatly contributed to the popularity of Packet Monster. ..
However, the manufacturing process for the package for this game was a bit complicated due to the two versions. The factory that manufactures the package has two production lines, one for Red and the other for Red. Green is manufactured in. The packages manufactured in each line are assigned a unique serial number in the factory and collected in one place. Then, they are mixed and shipped by the following stirring device. It is.
<image>
The Red package is delivered from the top and the Green package is delivered to this stirrer by a conveyor belt from the left side. The stirrer is made up of two cross-shaped belt conveyors, called "push_down" and "push_right". Accepts two commands. "Push_down" says "Move the conveyor belt running up and down by one package downward", "push_right" says "Move the conveyor belt running left and right by one package to the right" The agitation is done by executing the same number of push_down instructions as the Red package and the push_right instruction, which is one more than the number of Green packages, in a random order. The last instruction to be executed is determined to be "push_right". Under this constraint, the number of Red packages and the number of packages reaching the bottom of the stirrer match, the number of Green packages and the right edge of the stirrer. The number of packages that arrive at matches.
The agitated package finally reaches the bottom or right edge of the conveyor belt, and is packaged and shipped in the order in which it arrives.
An example of a series of stirring procedures is shown below. For simplicity, one package is represented as a one-letter alphabet.
<image>
By the way, this factory records the packages that arrived at the lower and right ends of the belt conveyor and their order for the purpose of tracking defective products. However, because this record is costly, the factory manager reached the lower end. I thought about keeping records only for the packages. I thought that the packages that arrived at the right end might be obtained from the records of the packages that were sent to the top and left ends and the packages that arrived at the bottom.
Please help the factory manager to create a program that creates a record of the package that arrives at the far right.
Input
The input consists of multiple datasets. The end of the input is indicated by a- (hyphen) line.
One input consists of a three-line alphabetic string containing only uppercase and lowercase letters. These represent the Red package, the Green package, and the package that reaches the bottom, respectively. Represent. Note that it is case sensitive.
The same character never appears more than once on any line. No character is commonly included on the first and second lines.
The case described in the problem statement corresponds to the first example of Sample Input.
Output
Output the packages that arrive at the right end in the order in which they arrived.
Example
Input
CBA
cba
cCa
X
ZY
Z
-
Output
BbA
XY
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
while True:
in1 = list(input())
if in1[0] == '-':
break
in2 = list(input())
out = list(input())
k = in2.pop(0)
(ans, f) = ('', True)
while len(in1) or len(in2):
if len(out) and out[0] == k:
k = in1.pop(0)
del out[0]
else:
ans += k
if len(in2):
k = in2.pop(0)
else:
f = False
break
if f:
ans += k
print(ans)
```
|
vfc_86421
|
{
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "5.0 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "CBA\ncba\ncCa\nX\nYZ\nZ\n-",
"output": "BbA\nYX\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
Solve the following coding problem using the programming language python:
Chandan is a horrendous murderer and he wants to kill Arjit just because he's lazy. Chandan is following the trail of Arjit's shoes. The trail is in the form of a k-ary tree. Arjit is lazy, sure, but he's smart. So, he magically moves away from Chandan as far as he can go.
Chandan doesn't know the way out, but he knows that Arjit has managed to travel the maximum distance he can. Help Chandan find out the maximum distance he would have to travel to find Arjit. And also tell him how much will he have to pay to travel so far. The travel rates are:
If maximum distance is <100, cost = 0.
If maximum distance is > 100, cost = 100.
If maximum distance is > 1000, cost = 1000.
If maximum distance is > 10000, cost = 10000.
Input format:
First line contains the total number of test cases. Then, the next line contains the number of nodes. The the next n lines contain three integers - the first two denote an edge between a and b, the third integer denotes the weight of that edge.
Output format:
You've to print the money Chandan will pay and the maximum distance he will have to travel.
Constraints:
1 ≤ Test Cases ≤ 10
2 ≤ n ≤ 100000
1 ≤ a, b ≤ n
1 ≤ weight ≤ 100
SAMPLE INPUT
1
5
1 2 4
3 2 3
2 5 2
4 1 1
SAMPLE OUTPUT
0 8
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
t=int(input())
def bfs(x):
b=[False]*(n+1)# an array of false flags to keep track of vertices visited
memo=["p"]*(n+1)
l=0
c=0
q=[]
q.append(x)
memo[x]=0
while len(q)!=0:
#t=s[-1]
top=q.pop(0)
#l=t
b[top]=True
#q.pop(0)
for j in G[top]:
#print j
if memo[j[0]]=="p":
q.append(j[0])
memo[j[0]]=memo[top]+j[1]#time of discovery(level) of child is time of discovery(level) of parent+1
b[j[0]]=True
if memo[j[0]]>l:
l=memo[j[0]]
c=j[0]
#c+=1
#return l,c
#m=0
#m_i=0
#print memo
#for i in xrange(0,n+1):
# if type(memo[i])==int and memo[i]>m:
# m=memo[i]
# m_i=i
return l,c
while t!=0:
n=int(input())
G=[[] for i in range(n+1)]
p=n-1
while p!=0:
x,y,z=list(map(int,input().split()))
G[x].append((y,z))#undirected graph has edge from u to v.
G[y].append((x,z))#alse has edge from v to u.
p-=1
upto,new=bfs(1)
found=False
while not found:
#print upto,new
#upto,new=bfs(new)
j=bfs(new)
#print j
if upto<j[0]:
upto=j[0]
new=j[1]
else:
found=True
if upto<100:
print(0,upto)
if upto>100 and upto <1000:
print(100,upto)
if upto>1000 and upto <10000:
print(1000,upto)
if upto>10000:
print(10000,upto)
t-=1
```
|
vfc_86425
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n100\n49 40 86\n40 27 47\n27 26 8\n26 56 80\n56 1 74\n1 70 39\n70 23 49\n23 37 85\n37 11 6\n69 51 6\n51 76 56\n76 75 22\n75 65 88\n65 42 72\n42 55 27\n55 90 46\n90 66 7\n66 31 61\n33 95 43\n95 81 1\n81 4 87\n4 35 2\n35 8 95\n8 67 71\n67 36 29\n36 82 29\n82 15 34\n73 29 50\n29 21 83\n21 12 28\n12 34 58\n34 52 69\n52 64 75\n64 46 18\n46 63 1\n63 88 49\n14 47 58\n47 48 2\n48 79 86\n79 2 64\n2 58 8\n58 43 94\n43 30 38\n30 7 97\n7 78 18\n41 98 66\n98 20 95\n20 96 26\n96 45 79\n45 59 39\n59 6 27\n6 91 66\n91 24 93\n24 18 74\n94 5 37\n5 68 74\n68 92 3\n92 39 71\n39 97 24\n97 57 38\n57 62 51\n62 89 34\n89 61 59\n93 28 26\n28 60 53\n60 80 12\n80 100 28\n100 9 63\n9 74 14\n74 72 66\n72 71 79\n71 85 75\n22 32 61\n32 77 18\n77 87 24\n87 3 79\n3 13 36\n13 50 19\n50 86 57\n86 54 15\n54 53 10\n17 83 36\n83 44 33\n44 84 55\n84 38 10\n38 16 70\n16 10 30\n10 25 13\n25 19 93\n19 99 54\n37 42 3\n31 8 45\n36 12 89\n63 79 62\n7 98 23\n24 57 94\n61 80 26\n100 87 3\n87 10 9\n",
"output": "10000 1433172\n10000 1525574\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n10\n3 2 64\n7 9 20\n6 1 74\n10 4 63\n8 5 36\n3 7 22\n9 1 53\n1 10 49\n4 5 45\n",
"output": "1000 2467\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n50\n37 26 98\n26 16 40\n16 18 41\n18 23 79\n2 17 36\n17 12 69\n12 36 22\n36 13 23\n40 39 36\n39 15 94\n15 4 28\n4 45 14\n41 21 4\n21 28 6\n28 32 59\n32 5 38\n20 35 88\n35 47 97\n47 27 12\n27 24 53\n29 43 16\n43 11 33\n11 34 58\n34 50 2\n3 42 53\n42 9 95\n9 1 71\n1 25 50\n46 14 52\n14 44 77\n44 7 6\n7 22 3\n49 48 18\n48 10 48\n10 8 82\n8 30 6\n33 31 69\n31 6 56\n6 38 30\n38 19 6\n18 2 51\n13 40 10\n15 28 72\n5 24 55\n24 29 68\n34 9 83\n1 14 45\n7 8 57\n30 31 80\n",
"output": "1000 4892\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n100\n19 17 79\n17 41 47\n41 80 39\n80 91 56\n91 50 72\n50 75 80\n75 100 31\n100 40 59\n40 7 93\n7 70 40\n70 46 8\n46 54 30\n54 87 97\n87 8 5\n8 63 19\n63 98 57\n98 38 33\n38 51 9\n51 25 19\n25 57 15\n57 49 6\n49 89 28\n89 59 59\n59 64 72\n64 90 6\n90 93 29\n93 69 73\n69 52 47\n52 18 72\n18 44 44\n44 43 27\n43 79 52\n79 21 91\n21 42 18\n42 68 60\n68 24 15\n24 62 98\n62 94 91\n94 11 75\n11 84 43\n84 61 32\n61 58 35\n58 9 25\n9 73 81\n73 65 92\n65 5 45\n5 55 90\n55 47 26\n47 97 6\n97 95 61\n95 99 93\n99 48 12\n48 77 90\n77 6 53\n6 37 85\n37 29 48\n29 1 82\n1 33 10\n33 23 47\n23 71 6\n71 16 54\n16 45 26\n45 74 58\n74 83 45\n83 86 44\n86 56 18\n56 10 60\n10 96 43\n96 26 62\n26 66 87\n66 72 38\n72 22 94\n22 4 74\n4 27 64\n27 60 27\n60 36 67\n36 20 9\n20 78 69\n78 81 45\n81 12 15\n12 2 30\n2 34 38\n34 31 79\n31 88 72\n88 3 91\n3 92 16\n92 32 73\n32 35 25\n35 67 26\n67 85 20\n85 39 32\n39 13 80\n13 76 47\n76 53 42\n53 30 77\n30 15 43\n15 14 13\n14 28 90\n28 82 86\n",
"output": "10000 2094784\n10000 2743925\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n10000\n2084 3664 71\n3664 9231 79\n9231 4949 21\n4949 5179 24\n5179 4517 20\n4517 2187 15\n2187 9849 79\n9849 2272 18\n2272 9284 40\n612 4825 17\n4825 9454 14\n9454 774 10\n774 4527 89\n4527 2795 57\n2795 1208 32\n1208 4426 21\n4426 2750 97\n2750 5477 88\n8608 4608 18\n4608 6999 40\n6999 8918 16\n8918 6210 8\n6210 591 42\n591 2348 52\n2348 4734 66\n4734 5158 52\n5158 4953 5\n885 6517 97\n6517 3371 89\n3371 1232 6\n1232 6011 7\n6011 178 12\n178 8155 85\n8155 2256 28\n2256 4926 37\n4926 6690 57\n4310 4093 43\n4093 3631 16\n3631 5852 28\n5852 5264 84\n5264 1542 85\n1542 8714 42\n8714 7585 46\n7585 2376 26\n2376 7430 99\n2938 5194 78\n5194 3264 0\n3264 642 96\n642 5951 66\n5951 8774 70\n8774 4052 36\n4052 4691 34\n4691 7982 30\n7982 7145 30\n3068 1350 38\n1350 705 96\n705 4777 83\n4777 5973 43\n5973 5849 94\n5849 7629 24\n7629 5223 49\n5223 2868 53\n2868 3679 37\n5580 2869 86\n2869 5832 33\n5832 87 26\n87 1043 96\n1043 8815 29\n8815 7097 94\n7097 2732 24\n2732 9016 65\n9016 1779 31\n664 7209 66\n7209 3519 11\n3519 2249 10\n2249 8722 17\n8722 1703 89\n1703 2932 10\n2932 7370 66\n7370 6704 7\n6704 1515 32\n1541 5604 54\n5604 7499 41\n7499 5724 62\n5724 8545 85\n8545 6909 79\n6909 7730 58\n7730 232 20\n232 9639 75\n9639 975 4\n5797 2729 96\n2729 9585 76\n9585 9988 9\n9988 5212 33\n5212 3603 63\n3603 5488 43\n5488 8145 11\n8145 191 59\n191 6836 72\n4947 342 57\n342 2715 35\n2715 7603 37\n7603 9818 89\n9818 5550 53\n5550 7599 48\n7599 5216 51\n5216 4208 70\n4208 5684 89\n744 5047 61\n5047 3457 88\n3457 7545 96\n7545 2551 93\n2551 8653 43\n8653 6 89\n6 1922 7\n1922 7064 28\n7064 5588 20\n6954 8462 17\n8462 8664 0\n8664 8263 95\n8263 597 22\n597 4409 96\n4409 4666 72\n4666 3125 31\n3125 6223 82\n6223 7360 87\n8378 1685 26\n1685 9914 45\n9914 2227 98\n2227 4390 98\n4390 6001 3\n6001 2475 33\n2475 4968 87\n4968 3518 44\n3518 2591 86\n2274 8148 35\n8148 4149 95\n4149 2707 8\n2707 2108 76\n2108 7357 8\n7357 8892 97\n8892 2834 24\n2834 8709 53\n8709 3423 40\n3525 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7709 84\n3158 1792 4\n3566 9506 63\n84 9072 21\n414 9174 20\n6505 5857 38\n4589 220 12\n7935 7905 31\n9764 371 57\n6465 9693 68\n9693 13 94\n4209 3764 63\n5826 8312 85\n8200 3898 58\n3404 9964 15\n5198 1696 51\n7619 2447 48\n375 6411 49\n5734 4634 82\n970 6330 36\n4484 383 44\n402 9989 52\n918 8821 50\n8821 5428 2\n5423 2139 69\n2802 7657 28\n3687 9567 79\n3710 4076 51\n3351 4242 35\n9245 9517 50\n4184 5950 7\n6625 3491 20\n1630 3067 7\n9293 5473 70\n7601 8232 41\n1668 5649 79\n354 3057 61\n2283 1354 53\n9713 303 10\n9241 9833 18\n696 8258 21\n7378 7069 56\n3623 9099 33\n7006 8014 59\n2237 6594 67\n9316 7297 0\n1248 6354 10\n4770 5565 67\n5399 2044 2\n1506 9727 44\n6611 8304 55\n9125 4320 46\n4320 1944 96\n4619 9185 58\n7486 7895 0\n142 5419 65\n3617 8649 86\n3970 5337 79\n5976 8015 16\n8015 6369 22\n6369 138 82\n452 9248 23\n5957 9992 94\n4021 1728 89\n236 1192 46\n2997 9929 87\n6068 4970 20\n9803 6448 7\n5585 1838 40\n3595 3239 82\n2064 8449 77\n3822 584 13\n8480 4500 39\n9018 287 62\n360 1543 24\n7822 1089 58\n8002 2617 62\n7719 3742 34\n5342 9973 25\n3395 9469 64\n9069 7436 78\n3195 6270 33\n1561 4956 62\n7487 7375 26\n7375 6693 91\n9614 9184 63\n9184 3630 91\n4543 8859 29\n7809 7102 42\n2415 9038 60\n8555 1270 3\n5862 6862 76\n9237 9574 35\n9982 384 97\n4590 6934 17\n4069 3036 81\n3036 7115 84\n9091 196 37\n1796 7326 40\n4023 1719 76\n6584 7301 20\n2888 9573 69\n5178 6777 42\n1142 3817 11\n2766 9219 31\n4826 5938 66\n5229 8775 21\n4226 6390 46\n9452 257 1\n2845 3987 98\n3531 5627 62\n7356 8433 31\n6766 3418 31\n2363 6197 25\n6197 7349 10\n9531 9478 74\n66 2833 40\n1629 3389 53\n2428 8109 4\n7929 6762 34\n4642 1392 13\n6130 328 7\n4769 6933 11\n6933 3808 49\n6484 4308 57\n5048 9835 28\n9835 370 82\n4723 3326 93\n9966 4321 18\n4321 2122 75\n9862 7331 70\n6107 5994 38\n5891 3314 96\n5978 8412 64\n5448 8569 1\n8569 7794 28\n4633 1377 30\n5783 4824 22\n8707 4082 26\n7283 5271 83\n939 1178 20\n2797 8540 88\n7797 5746 67\n4827 7944 4\n1640 1355 65\n7924 5159 77\n4787 1724 78\n9556 1325 5\n3384 1761 30\n8791 6290 82\n5502 5361 40\n9329 2326 96\n9822 7033 42\n4932 6547 51\n6456 6121 97\n6893 5376 99\n3403 9111 31\n2514 2752 31\n7410 3151 92\n9710 9047 49\n9756 2653 6\n5366 8766 14\n3405 9869 39\n3168 1994 55\n1994 1874 78\n1874 104 40\n4291 5214 83\n3669 7551 9\n1858 1429 14\n1092 9281 61\n456 5152 44\n8096 9829 87\n2465 8008 1\n8008 7118 11\n4127 9535 91\n4783 4675 67\n2252 8594 40\n9398 2758 69\n6967 2592 24\n2877 6973 71\n3903 1294 4\n2205 9544 64\n9544 4144 19\n3234 6291 46\n1283 4112 67\n126 4877 16\n205 5285 45\n4604 8559 51\n6646 1384 47\n8237 3550 89\n589 1405 0\n625 2294 6\n4363 7391 4\n6370 2708 92\n9755 1469 61\n1469 410 82\n1064 4561 84\n1022 9307 96\n5064 4322 43\n4322 3464 99\n6036 5762 9\n1721 2019 88\n8757 2906 86\n3415 7161 10\n6022 4482 51\n6138 5370 29\n1773 8231 77\n5343 5612 92\n85 4721 50\n1514 507 2\n4927 8050 15\n8050 789 54\n709 4705 18\n9031 33 34\n1093 5288 0\n9005 3153 38\n679 2859 50\n8372 1069 97\n8517 1706 89\n9837 285 49\n7307 4808 87\n4808 5999 89\n9319 2607 55\n2607 657 43\n453 8946 33\n4943 1406 68\n3994 1154 25\n7224 3627 18\n1344 7081 16\n4343 8983 21\n2590 1914 17\n796 9303 25\n9568 7991 61\n2382 8644 55\n1319 3955 36\n5067 3562 12\n3296 4600 36\n8937 4656 65\n4656 2686 4\n762 4305 86\n4305 1073 19\n8721 3534 19\n9094 4487 41\n8931 9586 38\n4660 4054 5\n3830 1298 93\n267 8499 28\n5615 4710 55\n9048 8028 43\n5020 4544 17\n2100 9136 5\n1656 1952 30\n1642 1678 58\n1244 4969 12\n6312 8031 25\n987 6959 92\n3581 9774 33\n7788 7592 50\n9052 6679 10\n1311 3145 49\n3145 1840 23\n4939 7442 79\n8528 3618 75\n4104 2206 84\n5100 5456 86\n8715 643 63\n7498 1013 49\n3854 1183 22\n8331 5441 28\n6983 4849 53\n9291 2966 8\n2966 9324 0\n3301 9743 25\n9743 1019 1\n7389 4624 90\n804 3041 82\n5231 628 47\n8178 1899 18\n3311 4365 38\n6431 2492 90\n6039 9547 35\n7066 7922 95\n6274 5009 72\n7232 8124 93\n9638 1268 59\n3433 7725 97\n7999 1124 37\n6895 9606 92\n6157 3665 99\n1472 3553 47\n1849 6815 94\n7039 8997 75\n4599 1987 78\n7243 7476 21\n2594 694 59\n8762 5222 64\n3249 4236 84\n8484 2439 8\n3500 6731 38\n2318 4155 64\n3541 1787 14\n",
"output": "10000 4957153\n10000 4946442\n10000 209174\n0 0\n10000 209174\n10000 209174\n10000 209174\n10000 209174\n10000 209174\n10000 209174\n",
"type": "stdin_stdout"
}
]
}
|
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/6/E
|
Solve the following coding problem using the programming language python:
There are several days left before the fiftieth birthday of a famous Berland's writer Berlbury. In this connection the local library decided to make an exposition of the works of this famous science-fiction writer. It was decided as well that it is necessary to include into the exposition only those books that were published during a particular time period. It is obvious that if the books differ much in size, the visitors will not like it. That was why the organizers came to the opinion, that the difference between the highest and the lowest books in the exposition should be not more than k millimeters.
The library has n volumes of books by Berlbury, arranged in chronological order of their appearance. The height of each book in millimeters is know, it is hi. As Berlbury is highly respected in the city, the organizers want to include into the exposition as many books as possible, and to find out what periods of his creative work they will manage to cover. You are asked to help the organizers cope with this hard task.
Input
The first line of the input data contains two integer numbers separated by a space n (1 ≤ n ≤ 105) and k (0 ≤ k ≤ 106) — the amount of books by Berlbury in the library, and the maximum allowed height difference between the lowest and the highest books. The second line contains n integer numbers separated by a space. Each number hi (1 ≤ hi ≤ 106) is the height of the i-th book in millimeters.
Output
In the first line of the output data print two numbers a and b (separate them by a space), where a is the maximum amount of books the organizers can include into the exposition, and b — the amount of the time periods, during which Berlbury published a books, and the height difference between the lowest and the highest among these books is not more than k milllimeters.
In each of the following b lines print two integer numbers separated by a space — indexes of the first and the last volumes from each of the required time periods of Berlbury's creative work.
Examples
Input
3 3
14 12 10
Output
2 2
1 2
2 3
Input
2 0
10 10
Output
2 1
1 2
Input
4 5
8 19 10 13
Output
2 1
3 4
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
from collections import deque
def mini_in_window(A, n, k):
d = deque()
res = []
for i in range(n):
if i >= k and d[0] == i - k:
d.popleft()
while len(d) and A[d[-1]] >= A[i]:
d.pop()
d.append(i)
if i >= k - 1:
res.append(d[0])
return res
def maxi_in_window(A, n, k):
d = deque()
res = []
for i in range(n):
if i >= k and d[0] == i - k:
d.popleft()
while len(d) and A[d[-1]] <= A[i]:
d.pop()
d.append(i)
if i >= k - 1:
res.append(d[0])
return res
(n, k) = map(int, input().split())
A = list(map(int, input().split()))
l = 0
r = n + 1
maxans = 0
cntmax = []
while l + 1 < r:
mid = (l + r) // 2
if mid > maxans:
cntnow = []
mins = mini_in_window(A, n, mid)
maxes = maxi_in_window(A, n, mid)
for i in range(len(mins)):
if A[maxes[i]] - A[mins[i]] <= k:
cntnow.append((i + 1, mid + i))
if cntnow:
l = mid
cntmax = cntnow[:]
else:
r = mid
print(l, len(cntmax))
for line in cntmax:
print(' '.join(map(str, line)))
```
|
vfc_86430
|
{
"difficulty": "hard",
"memory_limit": "64.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/6/E",
"time_limit": "1.5 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 10\n35 45\n",
"output": "2 1\n1 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 0\n1000000 1000000 1000000\n",
"output": "3 1\n1 3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 1000\n11497 9999 10730 12280\n",
"output": "2 1\n2 3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7 14\n28 28 29 35 25 29 28\n",
"output": "7 1\n1 7\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://codeforces.com/problemset/problem/912/A
|
Solve the following coding problem using the programming language python:
During the winter holidays, the demand for Christmas balls is exceptionally high. Since it's already 2018, the advances in alchemy allow easy and efficient ball creation by utilizing magic crystals.
Grisha needs to obtain some yellow, green and blue balls. It's known that to produce a yellow ball one needs two yellow crystals, green — one yellow and one blue, and for a blue ball, three blue crystals are enough.
Right now there are A yellow and B blue crystals in Grisha's disposal. Find out how many additional crystals he should acquire in order to produce the required number of balls.
-----Input-----
The first line features two integers A and B (0 ≤ A, B ≤ 10^9), denoting the number of yellow and blue crystals respectively at Grisha's disposal.
The next line contains three integers x, y and z (0 ≤ x, y, z ≤ 10^9) — the respective amounts of yellow, green and blue balls to be obtained.
-----Output-----
Print a single integer — the minimum number of crystals that Grisha should acquire in addition.
-----Examples-----
Input
4 3
2 1 1
Output
2
Input
3 9
1 1 3
Output
1
Input
12345678 87654321
43043751 1000000000 53798715
Output
2147483648
-----Note-----
In the first sample case, Grisha needs five yellow and four blue crystals to create two yellow balls, one green ball, and one blue ball. To do that, Grisha needs to obtain two additional crystals: one yellow and one blue.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
(a, b) = map(int, input().split())
(x, y, z) = map(int, input().split())
s = 0
if 2 * x > a:
s += 2 * x - a + y
elif 2 * x + y > a:
s += 2 * x + y - a
if y > b:
s += y - b + 3 * z
elif y + 3 * z > b:
s += y + 3 * z - b
print(s)
```
|
vfc_86434
|
{
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/912/A",
"time_limit": "None"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4 3\n2 1 1\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 9\n1 1 3\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "12345678 87654321\n43043751 1000000000 53798715\n",
"output": "2147483648\n",
"type": "stdin_stdout"
}
]
}
|
taco
|
verifiable_code
|
https://www.codechef.com/problems/HDELIVER
|
Solve the following coding problem using the programming language python:
Chef has decided to start home delivery from his restaurant. He hopes that he will get a lot of orders for delivery, however there is a concern. He doesn't have enough work forces for all the deliveries. For this he has came up with an idea - he will group together all those orders which have to be delivered in nearby areas.
In particular, he has identified certain bidirectional roads which he calls as fast roads. They are short and usually traffic free, so the fast travel is possible along these roads. His plan is that he will send orders to locations A and B together if and only if it is possible to travel between A and B using only fast roads. Your task is, given the configuration of fast roads, identify which orders are to be sent together.
-----Input-----
First line of input contains an integer T, the number of test cases. Then T test cases follow. First line of each test case contains two space separated integers N and M, denoting number of locations and the number of fast roads. Then M lines follow each containing two space separated integers A and B, denoting that there is a fast road between locations A and B. Assume that locations are indexed by numbers from 0 to N-1.
Next line contains an integer Q denoting the number of queries. Each of the next Q lines contain two integers X and Y. For each query you have to find out if orders meant for locations X and Y are to be sent together or not.
Note that there might be multiple fast roads between same pair of locations, also there might be a fast road that links a location to itself.
-----Output-----
For each test case print Q lines - one for each query. Output "YO" if the orders are to be
delivered together and "NO" otherwise (quotes for clarity).
-----Constraints-----
1 ≤ T ≤ 100
1 ≤ N ≤ 100
1 ≤ M ≤ 1000
0 ≤ A, B, X, Y ≤ N-1
1 ≤ Q ≤ 3000
-----Example-----
Input:
1
4 2
0 1
1 2
3
0 2
0 3
2 1
Output:
YO
NO
YO
-----Warning!-----
There are large input and output files in this problem. Make sure you use fast enough I/O methods.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code.
|
```python
def find(parent, i):
if parent[i] == i:
return i
parent[i] = find(parent, parent[i])
return parent[i]
def union(parent, rank, x, y):
rootx = find(parent, x)
rooty = find(parent, y)
if rootx != rooty:
if rank[rootx] < rank[rooty]:
parent[rootx] = rooty
elif rank[rootx] > rank[rooty]:
parent[rooty] = rootx
else:
parent[rooty] = rootx
rank[rootx] += 1
t = int(input())
for test_case in range(t):
(n, m) = map(int, input().split())
parent = [i for i in range(n)]
rank = [0 for i in range(n)]
for i in range(m):
(x, y) = map(int, input().split())
union(parent, rank, x, y)
q = int(input())
for i in range(q):
(x, y) = map(int, input().split())
if find(parent, x) == find(parent, y):
print('YO')
else:
print('NO')
```
|
vfc_86438
|
{
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/HDELIVER",
"time_limit": "0.48995 seconds"
}
|
{
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n4 2\n0 1\n1 2\n3\n0 2\n0 3\n2 1\n\n\n",
"output": "YO\nNO\nYO\n",
"type": "stdin_stdout"
}
]
}
|
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