message stringlengths 2 44.5k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
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Provide a correct Python 3 solution for this coding contest problem.
Takahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
* 1 \leq K \leq N \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the maximum possible difference in the number of balls received.
Examples
Input
3 2
Output
1
Input
3 1
Output
0
Input
8 5
Output
3 | instruction | 0 | 88,181 | 5 | 176,362 |
"Correct Solution:
```
N,K = [int(x) for x in input().split()]
print(N%K)
``` | output | 1 | 88,181 | 5 | 176,363 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
* 1 \leq K \leq N \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the maximum possible difference in the number of balls received.
Examples
Input
3 2
Output
1
Input
3 1
Output
0
Input
8 5
Output
3 | instruction | 0 | 88,182 | 5 | 176,364 |
"Correct Solution:
```
n, k = list(map(int, input().split()))
if k == 1:
print(0)
exit()
print(n - k)
``` | output | 1 | 88,182 | 5 | 176,365 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
* 1 \leq K \leq N \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the maximum possible difference in the number of balls received.
Examples
Input
3 2
Output
1
Input
3 1
Output
0
Input
8 5
Output
3 | instruction | 0 | 88,183 | 5 | 176,366 |
"Correct Solution:
```
a,b=map(int,input().split())
if b<2:
print(0)
else:
print(a-b)
``` | output | 1 | 88,183 | 5 | 176,367 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
* 1 \leq K \leq N \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the maximum possible difference in the number of balls received.
Examples
Input
3 2
Output
1
Input
3 1
Output
0
Input
8 5
Output
3 | instruction | 0 | 88,184 | 5 | 176,368 |
"Correct Solution:
```
n,k=map(int,input().split())
if k==1:
print(0)
else:
n=n-k
print(n)
``` | output | 1 | 88,184 | 5 | 176,369 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
* 1 \leq K \leq N \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the maximum possible difference in the number of balls received.
Examples
Input
3 2
Output
1
Input
3 1
Output
0
Input
8 5
Output
3
Submitted Solution:
```
N,K=map(int,input().split())
if N==K:
print(1)
elif K==1:
print(0)
else:
print(N-K)
``` | instruction | 0 | 88,189 | 5 | 176,378 |
No | output | 1 | 88,189 | 5 | 176,379 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,230 | 5 | 176,460 |
"Correct Solution:
```
print('Yes' if '9' in str(input()) else 'No')
``` | output | 1 | 88,230 | 5 | 176,461 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,231 | 5 | 176,462 |
"Correct Solution:
```
n=list(str(input()))
print("Yes" if "9" in n else "No")
``` | output | 1 | 88,231 | 5 | 176,463 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,232 | 5 | 176,464 |
"Correct Solution:
```
print('Yes' if input().count('9') else 'No')
``` | output | 1 | 88,232 | 5 | 176,465 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,233 | 5 | 176,466 |
"Correct Solution:
```
print('YNeos'[input().find('9')==-1::2])
``` | output | 1 | 88,233 | 5 | 176,467 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,234 | 5 | 176,468 |
"Correct Solution:
```
a = input()
print(['No','Yes']['9' in a])
``` | output | 1 | 88,234 | 5 | 176,469 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,235 | 5 | 176,470 |
"Correct Solution:
```
a=input()
print('Yes' if a[0]=='9' or a[1]=='9' else 'No')
``` | output | 1 | 88,235 | 5 | 176,471 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,236 | 5 | 176,472 |
"Correct Solution:
```
print("YNeos"[not'9'in(input())::2])
``` | output | 1 | 88,236 | 5 | 176,473 |
Provide a correct Python 3 solution for this coding contest problem.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes | instruction | 0 | 88,237 | 5 | 176,474 |
"Correct Solution:
```
N = input()
print('Yes' if N.find('9') != -1 else 'No')
``` | output | 1 | 88,237 | 5 | 176,475 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
print("Yes") if "9" in list(input()) else print("No")
``` | instruction | 0 | 88,238 | 5 | 176,476 |
Yes | output | 1 | 88,238 | 5 | 176,477 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
print("Yes" if input().count("9") >= 1 else "No")
``` | instruction | 0 | 88,239 | 5 | 176,478 |
Yes | output | 1 | 88,239 | 5 | 176,479 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
N = input()
print("Yes" if N.count("9") != 0 else "No")
``` | instruction | 0 | 88,240 | 5 | 176,480 |
Yes | output | 1 | 88,240 | 5 | 176,481 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
n = input()
print('Yes' if '9' in set(n) else 'No')
``` | instruction | 0 | 88,241 | 5 | 176,482 |
Yes | output | 1 | 88,241 | 5 | 176,483 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
print(5)
``` | instruction | 0 | 88,242 | 5 | 176,484 |
No | output | 1 | 88,242 | 5 | 176,485 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
N = int(input())
print("Yes" if N % 10 == 9 or N // 10 % 9 else "No")
``` | instruction | 0 | 88,243 | 5 | 176,486 |
No | output | 1 | 88,243 | 5 | 176,487 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
n = list(input())
print('YES' if '9' in n else 'NO')
``` | instruction | 0 | 88,244 | 5 | 176,488 |
No | output | 1 | 88,244 | 5 | 176,489 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is September 9 in Japan now.
You are given a two-digit integer N. Answer the question: Is 9 contained in the decimal notation of N?
Constraints
* 10≤N≤99
Input
Input is given from Standard Input in the following format:
N
Output
If 9 is contained in the decimal notation of N, print `Yes`; if not, print `No`.
Examples
Input
29
Output
Yes
Input
72
Output
No
Input
91
Output
Yes
Submitted Solution:
```
from scipy.sparse import*
(N,M,R),r,*t=[map(int,i.split())for i in __import__("sys").stdin]
a,b,c=zip(*t)
l=csgraph.dijkstra(csr_matrix((c,(a,b)),[N+1]*2),0)
print(min(sum(int(l[i][j])for i,j in zip(a[:-1],a[1:]))for a in __import__("itertools").permutations(r)))
``` | instruction | 0 | 88,245 | 5 | 176,490 |
No | output | 1 | 88,245 | 5 | 176,491 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,246 | 5 | 176,492 |
"Correct Solution:
```
import math
#import numpy as np
import queue
from collections import deque,defaultdict
import heapq as hpq
from sys import stdin,setrecursionlimit
#from scipy.sparse.csgraph import dijkstra
#from scipy.sparse import csr_matrix
ipt = stdin.readline
setrecursionlimit(10**7)
def main():
n = int(ipt())
mod = 10**9+7
a = [n,n*n%mod]
sa = [0,0]
for i in range(2,n):
a.append((a[-1]+sa[-1]+(n-i+1)*n%mod)%mod)
sa.append((sa[-1]+a[i-2]+n-1)%mod)
print(a[-1])
return
if __name__ == '__main__':
main()
``` | output | 1 | 88,246 | 5 | 176,493 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,247 | 5 | 176,494 |
"Correct Solution:
```
def main():
mod = 10**9+7
n = int(input())
a, b, c, p = 1, 1, n, n-1
for i in range(n-1):
p = (p+a-1) % mod
a, b, c = b, c, ((n-1)*(n-1)+p+c) % mod
print(c)
main()
``` | output | 1 | 88,247 | 5 | 176,495 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,248 | 5 | 176,496 |
"Correct Solution:
```
P = 10 ** 9 + 7
N = int(input())
k = (N-1) ** 2 % P + 2
a, b, c = 1, 0, 0
ans = 0
for i in range(N-1):
ans += a * (k + min(i, N-3))
ans %= P
a, b, c = a + b, b + c, a
if a >= P: a -= P
if b >= P: b -= P
ans += N * a
ans %= P
print(ans)
``` | output | 1 | 88,248 | 5 | 176,497 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,249 | 5 | 176,498 |
"Correct Solution:
```
N=int(input())
mod=10**9+7
DP=[0]*(N*2+5)
X=[0]*(N*2+5)
Y=[0]*(N*2+5)
C=0
Y[0]=-1
for i in range(N):
C=(C+X[i])%mod
DP[i]=(C-Y[i])%mod
Y[i+2]=DP[i]
X[i+1]=(X[i+1]+DP[i])%mod
X[i+N+2]=(X[i+N+2]-DP[i])%mod
for i in range(N,N*2+2):
C=(C+X[i])%mod
DP[i]=(C-Y[i])%mod
P=sum(DP[N:])
for i in range(N-1):
P=(P+DP[i]*(N-1)*(N-1))%mod
print(P)
``` | output | 1 | 88,249 | 5 | 176,499 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,250 | 5 | 176,500 |
"Correct Solution:
```
n = int(input())
dp = [0] * (n+1)
mod = 10**9+7
dp[0] = n
dp[1] = n*n
SUM = n+n*n
for i in range(2,n):
dp[i] = (n-1)*(n-1) + n-i+1+SUM-dp[i-2]
dp[i] %= mod
SUM += dp[i]
SUM %= mod
print(dp[n-1])
``` | output | 1 | 88,250 | 5 | 176,501 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,251 | 5 | 176,502 |
"Correct Solution:
```
MOD = 10 ** 9 + 7
n = int(input())
if n == 1:
print(1)
exit()
dp = [0] * (n)
dp[0] = 1
dp[1] = 1
dpsum = 2
for l in range(2, n):
dp[l] = dpsum
dp[l] -= dp[l-2]
dp[l] %= MOD
dpsum += dp[l]
dpsum %= MOD
ans = 1 + (dpsum - dp[-1]) * (n-1) # end with "1..."
ans %= MOD
for l in range(n-1):
ans += dp[l] * (n - 1) ** 2
ans %= MOD
ans += dp[n-1] * (n - 1)
ans %= MOD
print(ans)
``` | output | 1 | 88,251 | 5 | 176,503 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,252 | 5 | 176,504 |
"Correct Solution:
```
import sys
mod = 10**9 + 7
def solve():
n = int(input())
if n == 1:
print(1)
return
dp = [0] * (n + 1)
dp[1] = n % mod
dp[2] = n**2 % mod
acc = [0] * (n + 1)
acc[1] = dp[1] % mod
acc[2] = (dp[1] + dp[2]) % mod
for k in range(3, n + 1):
dp[k] = (dp[k - 1] + (n - 1)**2 + acc[k - 3] + n - k + 2) % mod
acc[k] = (acc[k - 1] + dp[k]) % mod
ans = dp[n]
print(ans)
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
if __name__ == '__main__':
solve()
``` | output | 1 | 88,252 | 5 | 176,505 |
Provide a correct Python 3 solution for this coding contest problem.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283 | instruction | 0 | 88,253 | 5 | 176,506 |
"Correct Solution:
```
n = int(input())
if n == 1:
print(1)
else:
res_v = [0]*(n + 1)
res_v_cumsum = [0]*(n + 1)
res_v[0] = 0
res_v[1] = 1
res_v[2] = 1
res_v_cumsum[0] = 0
res_v_cumsum[1] = 1
res_v_cumsum[2] = 2
M = 1000000007
for k in range(3, n):
res_v[k] = (1 + res_v_cumsum[k-1] - res_v[k-2]) % M
res_v_cumsum[k] = (res_v_cumsum[k-1] + res_v[k]) % M
#print(res_v)
print((((res_v_cumsum[n-2] * (((n-1) * (n-1)) % M)) % M) + ((res_v_cumsum[n-1] * (n-1)) % M) + n + (n-1)*(n-1)%M) % M)
``` | output | 1 | 88,253 | 5 | 176,507 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
MOD = 10 ** 9 + 7
n = int(input())
"""
dp = [-1] * (n + 1)
dp[0] = 1
def cnt(num):
ans = 0
if num < 0:
return 1
if dp[num] != -1:
return dp[num]
if num == 1:
dp[num] = n
return n
for i in range(n):
if i == 0:
ans += cnt(num - 1)
ans %= MOD
else:
if num - 2 - i < 0:
ans += 1
else:
ans += cnt(num - 2 - i)
ans += n - 1
ans %= MOD
dp[num] = ans
return ans
dp[0] = 1
print(cnt(n))
"""
dq = [0] * (n + 1)
sum_ = [0] * (n + 1)
dq[0] = 1
sum_[0] = 1
for i in range(n):
if i == 0:
dq[i + 1] = n
sum_[i + 1] = sum_[i] + dq[i + 1]
continue
"""
for j in range(n):
if j == 0:
dq[i + 1] += dq[i]
else:
if i - 1 - j < 0:
dq[i + 1] += 1
else:
dq[i + 1] += dq[i - 1 - j]
dq[i + 1] += n - 1
"""
dq[i + 1] += dq[i]
dq[i + 1] += (n - 1) * (n - 1)
dq[i + 1] += sum_[i - 2]
dq[i + 1] += abs(i - n)
dq[i + 1] %= MOD
sum_[i + 1] = sum_[i] + dq[i + 1]
sum_[i + 1] %= MOD
print(dq[-1])
``` | instruction | 0 | 88,254 | 5 | 176,508 |
Yes | output | 1 | 88,254 | 5 | 176,509 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
# dp[i] := i 項目以降を見たときの場合の数
# = dp[i+1] + (Σ_{3<=d<=N-1} dp[i+d]) + (n-1)**2
# i 項目と i+1 項目について、
# (1) i 項目が 1 の場合
# (2) i 項目が 1 で無く、i+1 項目が 1 の場合
# (3) i 項目も i+1 項目も 1 で無い場合
# で場合分けしてそれぞれを足している
# これを累積和で高速化する
# 初期化がややこしい
N = int(input())
mod = 10**9+7
dp = [0] * N
dp[N-1] = N
dp[N-2] = N*N
c = N * (N+1) + N-1
const = (N-1)**2
for i in range(N-3, -1, -1):
ans = c - dp[i+2] + const
dp[i] = ans
c = (c + ans - 1) % mod
print(dp[0]%mod)
``` | instruction | 0 | 88,255 | 5 | 176,510 |
Yes | output | 1 | 88,255 | 5 | 176,511 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
n=int(input())
if n==1:
print(1)
exit()
mod=10**9+7
dp=[0]*(n+1)
S=[0]*(n+1)
dp[0]=1
dp[1]=1
dp[2]=1
S[0]=1
for i in range(n):
if i+1>=3:
dp[i+1]=2*dp[i]-dp[i-1]+dp[i-2]
dp[i+1]%=mod
S[i+1]=S[i]+(n-1)*dp[i]
S[i+1]%=mod
ans=S[n]
for i in range(1,n):
ans+=((n-1)**2)*dp[i-1]
ans%=mod
print(ans)
#print(S)
#print(dp)
``` | instruction | 0 | 88,256 | 5 | 176,512 |
Yes | output | 1 | 88,256 | 5 | 176,513 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
n=int(input());a,b,c,p=1,1,n,n-1
for i in range(n-1):
p+=a-1;a,b,c=b,c,((n-1)**2+p+c)%(10**9+7)
print(c)
``` | instruction | 0 | 88,257 | 5 | 176,514 |
Yes | output | 1 | 88,257 | 5 | 176,515 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
INF=10**9+7
N=int(input())
a=[0 for i in range(N)]
a[0]=1
for i in range(N):
a[i]=sum(a)%INF
print(a[n]%INF)
``` | instruction | 0 | 88,258 | 5 | 176,516 |
No | output | 1 | 88,258 | 5 | 176,517 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
import numpy as np
n = int(input())
if n == 1:
print(1)
else:
res_v = np.zeros(n + 1, dtype='int64')
res_v_cumsum = np.zeros(n + 1, dtype='int64')
res_v[0] = 0
res_v[1] = 1
res_v[2] = 1
res_v_cumsum[0] = 0
res_v_cumsum[1] = 1
res_v_cumsum[2] = 2
M = 1000000007
for k in range(3, n):
res_v[k] = (1 + res_v_cumsum[k-1] - res_v[k-2]) % M
res_v_cumsum[k] = (res_v_cumsum[k-1] + res_v[k]) % M
print((((res_v_cumsum[n-2] * (((n-1) * (n-1)) % M)) % M) + ((res_v_cumsum[n-1] * (n-1)) % M) + n + (n-1)*(n-1)%M) % M)
``` | instruction | 0 | 88,259 | 5 | 176,518 |
No | output | 1 | 88,259 | 5 | 176,519 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
from random import *
def readln():
_res = list(map(int,str(input()).split(' ')))
return _res
p = 1000000000 + 7
n = readln()[0]
f = [0 for i in range(0,n+1)]
f[1] = n
f[2] = n * n
s = f[:]
s[2] = f[1] + f[2]
for i in range(3,n+1):
f[i] = f[i-1] + (n - 1) * (n - 1)
f[i] = f[i] + s[i - 3] + (n - i + 2)
f[i] = f[i] % p
s[i] = s[i - 1] + f[i]
s[i] = s[i] % p
print(f[n])
``` | instruction | 0 | 88,260 | 5 | 176,520 |
No | output | 1 | 88,260 | 5 | 176,521 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal. That is, if i < j < k\leq i+a_i, a_j = a_k.
Find the count modulo 10^9+7.
Constraints
* 1 \leq n \leq 10^6
Input
Input is given from Standard Input in the following format:
n
Output
Print how many sequences satisfy the conditions, modulo 10^9+7.
Examples
Input
2
Output
4
Input
654321
Output
968545283
Submitted Solution:
```
import sys
input = sys.stdin.readline
MOD = 10**9 + 7
N = int(input())
dp = [0] * (N+10)
dp_cum = [0] * (N+10)
dp[1] = N-1; dp_cum[1] = N-1
dp[2] = N-1; dp_cum[2] = 2*(N-1)
for n in range(3,N+1):
dp[n] = dp[n-1] + dp_cum[n-3]
dp_cum[n] = (dp_cum[n-1] + dp[n]) % MOD
answer = sum(dp[1:N])*N + dp[-1] + 1
answer %= MOD
print(answer)
``` | instruction | 0 | 88,261 | 5 | 176,522 |
No | output | 1 | 88,261 | 5 | 176,523 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
3
y 7
y 6
n 5
Output
1 | instruction | 0 | 88,308 | 5 | 176,616 |
"Correct Solution:
```
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def solve():
N = int(readline())
L = [0]*N; D = [0]*N
for i in range(N):
l, d = readline().split()
L[i] = +(l == 'y')
D[i] = int(d)
ans = 0
*I, = range(N)
I.sort(key = D.__getitem__)
U = [0]*N
for i in I:
if not L[i] or U[i]:
continue
d = D[i]
U[i] = 1
ans += 1
k = i-1
while k >= 0 and (L[k] or D[k] < d):
if L[k]:
U[k] = 1
k -= 1
k = i+1
while k < N and (L[k] or D[k] < d):
if L[k]:
U[k] = 1
k += 1
write("%d\n" % ans)
solve()
``` | output | 1 | 88,308 | 5 | 176,617 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have $N$ items that you want to put them into a knapsack of capacity $W$. Item $i$ ($1 \le i \le N$) has weight $w_i$ and value $v_i$ for the weight.
When you put some items into the knapsack, the following conditions must be satisfied:
* The total value of the items is as large as possible.
* The total weight of the selected items is at most $W$.
* You can break some items if you want. If you put $w'$($0 \le w' \le w_i$) of item $i$, its value becomes $\displaystyle v_i \times \frac{w'}{w_i}.$
Find the maximum total value of items in the knapsack.
Constraints
* $1 \le N \le 10^5$
* $1 \le W \le 10^9$
* $1 \le v_i \le 10^9 (1 \le i \le N)$
* $1 \le w_i \le 10^9 (1 \le i \le N)$
Input
$N$ $W$
$v_1$ $w_1$
$v_2$ $w_2$
:
$v_N$ $w_N$
The first line consists of the integers $N$ and $W$. In the following $N$ lines, the value and weight of the $i$-th item are given.
Output
Print the maximum total value of the items in a line. The output must not contain an error greater than $10^{-6}$.
Examples
Input
3 50
60 10
100 20
120 30
Output
240
Input
3 50
60 13
100 23
120 33
Output
210.90909091
Input
1 100
100000 100000
Output
100
Submitted Solution:
```
n , w = map(int, input().split())
val_w = []
for i in range(n):
a , b = map(int, input().split())
val_w += [(-a/b, b)]
val_w.sort()
Sum = 0
i = 0
while w and i <= n-1:
wei = min(w, val_w[i][1])
Sum += (-val_w[i][0])*wei
w -= wei
i += 1
print(Sum)
``` | instruction | 0 | 88,321 | 5 | 176,642 |
Yes | output | 1 | 88,321 | 5 | 176,643 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,094 | 5 | 178,188 |
"Correct Solution:
```
a=int("".join(list(input().split())))
print("YES" if a%4==0 else "NO")
``` | output | 1 | 89,094 | 5 | 178,189 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,095 | 5 | 178,190 |
"Correct Solution:
```
print('NO' if int(input().replace(' ',''))%4 else 'YES')
``` | output | 1 | 89,095 | 5 | 178,191 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,096 | 5 | 178,192 |
"Correct Solution:
```
n = list(input().split())
print("YES" if int("".join(n))%4==0 else "NO")
``` | output | 1 | 89,096 | 5 | 178,193 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,097 | 5 | 178,194 |
"Correct Solution:
```
x = input().split()
print('YES' if int("".join(x)) % 4 == 0 else'NO')
``` | output | 1 | 89,097 | 5 | 178,195 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,098 | 5 | 178,196 |
"Correct Solution:
```
print("YES" if int("".join(list(input().split()))) % 4 == 0 else "NO")
``` | output | 1 | 89,098 | 5 | 178,197 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,099 | 5 | 178,198 |
"Correct Solution:
```
print('YNEOS'[(int(input()[::2]))%4>0::2])
``` | output | 1 | 89,099 | 5 | 178,199 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,100 | 5 | 178,200 |
"Correct Solution:
```
print('YNEOS'[int(''.join(input().split()))%4!=0::2])
``` | output | 1 | 89,100 | 5 | 178,201 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO | instruction | 0 | 89,101 | 5 | 178,202 |
"Correct Solution:
```
X, A, B = map(int, input().split())
print(["NO", "YES"][(A*10+B)%4==0])
``` | output | 1 | 89,101 | 5 | 178,203 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO
Submitted Solution:
```
a = int("".join(input().split()))
print("YES" if a % 4 == 0 else "NO")
``` | instruction | 0 | 89,102 | 5 | 178,204 |
Yes | output | 1 | 89,102 | 5 | 178,205 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO
Submitted Solution:
```
N = input().split()
print(["YES", "NO"][not(int("".join(N))%4==0)])
``` | instruction | 0 | 89,103 | 5 | 178,206 |
Yes | output | 1 | 89,103 | 5 | 178,207 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
AtCoDeer has three cards, one red, one green and one blue.
An integer between 1 and 9 (inclusive) is written on each card: r on the red card, g on the green card and b on the blue card.
We will arrange the cards in the order red, green and blue from left to right, and read them as a three-digit integer.
Is this integer a multiple of 4?
Constraints
* 1 ≤ r, g, b ≤ 9
Input
Input is given from Standard Input in the following format:
r g b
Output
If the three-digit integer is a multiple of 4, print `YES` (case-sensitive); otherwise, print `NO`.
Examples
Input
4 3 2
Output
YES
Input
2 3 4
Output
NO
Submitted Solution:
```
print('YES' if int(''.join(input().split()[1:]))%4==0 else 'NO')
``` | instruction | 0 | 89,104 | 5 | 178,208 |
Yes | output | 1 | 89,104 | 5 | 178,209 |
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