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 |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
n , k = map(int,input().split())
a = list(map(int,input().split()))
b = []
for i in range(n):
for j in range(i,n):
b.append(sum(a[i:j+1]))
ans = 0
for i in reversed(range(41)):
cou = 0
now = ans + 2**i
for j in b:
if j & now >= now:
cou += 1
if cou >= k:
ans += 2**i
print(ans)
``` | instruction | 0 | 31,614 | 5 | 63,228 |
Yes | output | 1 | 31,614 | 5 | 63,229 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
def main():
n, k = map(int, input().split())
a = list(map(int, input().split()))
for i in range(n-1):
a[i+1] += a[i]
b = []
for i in range(-1, n-1):
for j in range(i+1, n):
if i == -1:
b.append(a[j])
else:
b.append(a[j]-a[i])
ans = 0
for i in reversed(range(51)):
cnt = 0
for v in b:
if ans & v == ans and (1<<i) & v != 0:
cnt += 1
if k <= cnt:
ans += (1<<i)
print(ans)
if __name__ == "__main__":
main()
``` | instruction | 0 | 31,615 | 5 | 63,230 |
Yes | output | 1 | 31,615 | 5 | 63,231 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
import sys
input = sys.stdin.readline
import copy
N,K = map(int, input().split())
A = list(map(int, input().split()))
# 累積和
AS = [0] * (N+1)
for i in range(N):
AS[i+1] = AS[i] + A[i]
# 全要素をリスト化する
B = []
for i in range(N+1):
for j in range(i+1,N+1):
wk = AS[j] - AS[i]
if wk > 0:
B.append(wk)
ans = 0
for m in range(38,-1,-1):
cnt = 0
p = pow(2,m)
nxt = []
for b in B:
if p & b == p:
nxt.append(b)
if len(nxt) >= K:
ans += p
B = nxt
# Bの候補が減っていくところがポイント！
else:
pass
# Bは変わらないところがポイント！
print(ans)
#print(B)
``` | instruction | 0 | 31,616 | 5 | 63,232 |
Yes | output | 1 | 31,616 | 5 | 63,233 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
n,k = map(int,input().split())
a = [0] +list(map(int,input().split()))
for i in range(n):
a[i+1] += a[i]
nums = []
for i in range(n):
for j in range(i+1,n+1):
nums.append(a[j]-a[i])
nums.sort(reverse = True)
def count(x,lis):
res = 0
for i in range(len(lis)):
if (lis[i]&x) == x:res+=1
return res
def ok(x,lis):
if count(x,lis) >=k:return True
else:return False
ans = 0
for i in range(40,-1,-1):
if ok(ans|1<<i,nums):ans|=1<<i
print(ans)
``` | instruction | 0 | 31,617 | 5 | 63,234 |
Yes | output | 1 | 31,617 | 5 | 63,235 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
n,k = map(int, input().split())
l = [0] + list(map(int, input().split()))
a = list()
for i in range(n):
l[i+1] += l[i]
for i in range(n):
for j in range(i+1,n+1):
a.append(l[j]-l[i])
x = 0
for i in range(40,-1,-1):
t = 2**i
if sum(1 for p in a if p&(t+x)>=t+x) >= k:
x += t
print(x)
``` | instruction | 0 | 31,618 | 5 | 63,236 |
No | output | 1 | 31,618 | 5 | 63,237 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
import sys
import collections
from collections import Counter
# from collections import deque
# from collections import defaultdict
import itertools
# from itertools import accumulate
# from itertools import permutations
# from itertools import combinations
# from itertools import takewhile
from itertools import compress
# import functools
# from functools import reduce
import math
# from math import gcd
# from math import inf
# from math import ceil
# from math import floor
# from math import log10
# from math import log2
# from math import log
from math import factorial
# import re
N, K = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
B = []
S = set()
for i in range(N):
for j in range(i, N):
b = A[i:j + 1]
B.append(b)
S.add(sum(b))
# print(B)
# print(S)
S = sorted(list(S))
def f(L, b):
R = []
for l in L:
r = 1 if l & (1 << b) != 0 else 0
R.append(r)
return R
ans = 0
for i in range(32, -1, -1):
A = [s & (1 << i) for s in S]
if len(list(compress(S,A))) >= K:
ans += (1 << i)
S = list(compress(S, A))
print(ans)
``` | instruction | 0 | 31,619 | 5 | 63,238 |
No | output | 1 | 31,619 | 5 | 63,239 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
m = input()
n = int(m.split()[0])
k = int(m.split()[1])
l = input()
a = l.split()
b = []
for i in range(int(n*(n+1)/2)+1):
s = 0
if i <= n:
if i == 0:
continue
for j in range(i):
s += int(a[j])
b.append(s)
if i > n:
p = i % n
c = int((i-p)/n)
while (len(a) + c > n):
a.remove(a[0])
if p == 0:
continue
for j in range(min(p, len(a))):
s += int(a[j])
b.append(s)
b.append(int(a[-1]))
b.sort()
print(b[-k])
``` | instruction | 0 | 31,620 | 5 | 63,240 |
No | output | 1 | 31,620 | 5 | 63,241 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day, Niwango-kun, an employee of Dwango Co., Ltd., found an integer sequence (a_1, ..., a_N) of length N. He is interested in properties of the sequence a.
For a nonempty contiguous subsequence a_l, ..., a_r (1 \leq l \leq r \leq N) of the sequence a, its beauty is defined as a_l + ... + a_r. Niwango-kun wants to know the maximum possible value of the bitwise AND of the beauties of K nonempty contiguous subsequences among all N(N+1)/2 nonempty contiguous subsequences. (Subsequences may share elements.)
Find the maximum possible value for him.
Constraints
* 2 \leq N \leq 1000
* 1 \leq a_i \leq 10^9
* 1 \leq K \leq N(N+1)/2
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N K
a_1 a_2 ... a_N
Output
Print the answer.
Examples
Input
4 2
2 5 2 5
Output
12
Input
8 4
9 1 8 2 7 5 6 4
Output
32
Submitted Solution:
```
from sys import stdin
def main():
N, K = map(int, stdin.readline().rstrip().split())
A = list(map(int, stdin.readline().rstrip().split()))
edge = 0
if K % 2 == 0:
edge = K // 2
else:
edge = K // 2 + 1
while( edge < K):
leftA = A[:len(A)-K+edge]
rightA = A[K-edge:]
if sum(leftA) == sum(rightA):
break
edge += 1
leftA = A[:len(A)-K+edge]
rightA = A[K-edge:]
print(max(sum(leftA), sum(rightA)))
input = lambda: stdin.readline()
main()
``` | instruction | 0 | 31,621 | 5 | 63,242 |
No | output | 1 | 31,621 | 5 | 63,243 |
Provide a correct Python 3 solution for this coding contest problem.
problem
There are $ N $ propositions, named $ 1, 2, \ cdots, N $, respectively. Also, $ M $ information about the propositions is given. The $ i $ th information is "$ a_i $$". Given in the form "b_i $", which means that $ a_i $ is $ b_i $. ("If" is a logical conditional and the transition law holds.) $ For each proposition $ i $ Output all propositions that have the same value as i $ in ascending order. However, proposition $ i $ and proposition $ i $ are always the same value. Proposition $ X $ and proposition $ Y $ have the same value as "$ if $ X $". It means "Y $" and "$ X $ if $ Y $".
output
On the $ i $ line, output all propositions that have the same value as the proposition $ i $, separated by blanks in ascending order. Also, output a line break at the end of each line.
Example
Input
5 2
1 2
2 1
Output
1 2
1 2
3
4
5 | instruction | 0 | 31,755 | 5 | 63,510 |
"Correct Solution:
```
#!/usr/bin/env python3
import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(1000000000)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
n,m = LI()
graph = [[] for _ in range(n)]
for _ in range(m):
a,b = LI()
graph[a-1].append(b-1)
def dfs(s,lst,graph,check):
lst.append(s)
check[s] = False
for v in graph[s]:
if check[v]:
dfs(v,lst,graph,check)
return lst
L = []
for i in range(n):
c = [True]*n
l = dfs(i,[],graph,c)
l.sort()
L.append(l)
ans = [[] for _ in range(n)]
for i in range(n):
for j in L[i]:
if i in L[j]:
ans[i].append(j+1)
for i in range(n):
print(*ans[i])
``` | output | 1 | 31,755 | 5 | 63,511 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,772 | 5 | 63,544 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
"""
Set Operation - Set Difference
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_9_C&lang=jp
"""
_ = input()
A = set([int(a) for a in input().split()])
_ = input()
B = set([int(b) for b in input().split()])
C = sorted([d for d in (A - B)])
if C:
print(*C, sep='\n')
``` | output | 1 | 31,772 | 5 | 63,545 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,773 | 5 | 63,546 |
"Correct Solution:
```
n = int(input())
a = set(map(int, input().split( )))
m = int(input())
b = set(map(int, input().split( )))
sb = a-b
ans = list(sb)
ans.sort()
for i in ans:
print(i)
``` | output | 1 | 31,773 | 5 | 63,547 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,774 | 5 | 63,548 |
"Correct Solution:
```
input()
A = [int(x) for x in input().split() ]
input()
B = [int(x) for x in input().split() ]
for i in sorted(set(A)-set(B)):
print(i)
``` | output | 1 | 31,774 | 5 | 63,549 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,775 | 5 | 63,550 |
"Correct Solution:
```
n = int(input())
a = {int(i) for i in input().split()}
m = int(input())
b = {int(i) for i in input().split()}
c = tuple(sorted(a-b))
for i in c:
print(i)
``` | output | 1 | 31,775 | 5 | 63,551 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,776 | 5 | 63,552 |
"Correct Solution:
```
n = int(input())
a = set(map(int,input().split()))
m = int(input())
b = set(map(int,input().split()))
c = a - b
if c:
print(*sorted(c),sep="\n")
``` | output | 1 | 31,776 | 5 | 63,553 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,777 | 5 | 63,554 |
"Correct Solution:
```
def main():
n = int(input())
a = list(map(int,input().split()))
m = int(input())
b = list(map(int,input().split()))
s = sorted(set(a)-set(b))
for c in s:print (c)
if __name__ == '__main__':
main()
``` | output | 1 | 31,777 | 5 | 63,555 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,778 | 5 | 63,556 |
"Correct Solution:
```
n=int(input())
A=list(map(int,input().split()))
m=int(input())
B=list(map(int,input().split()))
C=list(set(A)-set(B))
C.sort()
if C!=[]:
print('\n'.join(map(str,C)))
``` | output | 1 | 31,778 | 5 | 63,557 |
Provide a correct Python 3 solution for this coding contest problem.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8 | instruction | 0 | 31,779 | 5 | 63,558 |
"Correct Solution:
```
n = int(input())
A = set(map(int, input().split()))
m = int(input())
B = set(map(int, input().split()))
C = A-B
if C:
print(*sorted(C), sep='\n')
``` | output | 1 | 31,779 | 5 | 63,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8
Submitted Solution:
```
n = int(input())
A = set(map(int, input().split()))
m = int(input())
B = set(map(int, input().split()))
for c in sorted(list(A - B)):
print(c)
``` | instruction | 0 | 31,780 | 5 | 63,560 |
Yes | output | 1 | 31,780 | 5 | 63,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8
Submitted Solution:
```
a = input()
setA = set(map(int, input().split()))
b = input()
setB = set(map(int, input().split()))
for elem in sorted(setA.difference(setB)):
print(elem)
``` | instruction | 0 | 31,781 | 5 | 63,562 |
Yes | output | 1 | 31,781 | 5 | 63,563 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8
Submitted Solution:
```
n = int(input())
A = set(list(map(int, input().split())))
m = int(input())
B = set(list(map(int, input().split())))
answer = A.difference(B)
[print(i) for i in sorted(answer)]
``` | instruction | 0 | 31,782 | 5 | 63,564 |
Yes | output | 1 | 31,782 | 5 | 63,565 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the difference of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$, $A - B$.
Constraints
* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
Print elements in the difference in ascending order. Print an element in a line.
Example
Input
5
1 2 3 5 8
2
2 5
Output
1
3
8
Submitted Solution:
```
input()
a = set(list(map(int,input().split())))
input()
b = set(list(map(int,input().split())))
for i in sorted(a-b):
print(i)
``` | instruction | 0 | 31,783 | 5 | 63,566 |
Yes | output | 1 | 31,783 | 5 | 63,567 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Pimple has an array of integers a_1, a_2, …, a_n.
We say that y is reachable from x if x<y and there exists an integer array p such that x = p_1 < p_2 < … < p_k=y, and a_{p_i} \& a_{p_{i+1}} > 0 for all integers i such that 1 ≤ i < k.
Here \& denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND).
You are given q pairs of indices, check reachability for each of them.
Input
The first line contains two integers n and q (2 ≤ n ≤ 300 000, 1 ≤ q ≤ 300 000) — the number of integers in the array and the number of queries you need to answer.
The second line contains n space-separated integers a_1, a_2, …, a_n (0 ≤ a_i ≤ 300 000) — the given array.
The next q lines contain two integers each. The i-th of them contains two space-separated integers x_i and y_i (1 ≤ x_i < y_i ≤ n). You need to check if y_i is reachable from x_i.
Output
Output q lines. In the i-th of them print "Shi" if y_i is reachable from x_i, otherwise, print "Fou".
Example
Input
5 3
1 3 0 2 1
1 3
2 4
1 4
Output
Fou
Shi
Shi
Note
In the first example, a_3 = 0. You can't reach it, because AND with it is always zero. a_2 \& a_4 > 0, so 4 is reachable from 2, and to go from 1 to 4 you can use p = [1, 2, 4].
Submitted Solution:
```
import collections
n,q=map(int,input().split())
x=list(map(int,input().split()))
p=collections.Counter(x)
while(q>0):
a,b=map(int,input().split())
if(a==0 or b==0):
print("Fou");
elif(p[0]>=abs(a-b-1)):
print("Fou");
else:
print("Shi");
q=q-1
``` | instruction | 0 | 31,840 | 5 | 63,680 |
No | output | 1 | 31,840 | 5 | 63,681 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Pimple has an array of integers a_1, a_2, …, a_n.
We say that y is reachable from x if x<y and there exists an integer array p such that x = p_1 < p_2 < … < p_k=y, and a_{p_i} \& a_{p_{i+1}} > 0 for all integers i such that 1 ≤ i < k.
Here \& denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND).
You are given q pairs of indices, check reachability for each of them.
Input
The first line contains two integers n and q (2 ≤ n ≤ 300 000, 1 ≤ q ≤ 300 000) — the number of integers in the array and the number of queries you need to answer.
The second line contains n space-separated integers a_1, a_2, …, a_n (0 ≤ a_i ≤ 300 000) — the given array.
The next q lines contain two integers each. The i-th of them contains two space-separated integers x_i and y_i (1 ≤ x_i < y_i ≤ n). You need to check if y_i is reachable from x_i.
Output
Output q lines. In the i-th of them print "Shi" if y_i is reachable from x_i, otherwise, print "Fou".
Example
Input
5 3
1 3 0 2 1
1 3
2 4
1 4
Output
Fou
Shi
Shi
Note
In the first example, a_3 = 0. You can't reach it, because AND with it is always zero. a_2 \& a_4 > 0, so 4 is reachable from 2, and to go from 1 to 4 you can use p = [1, 2, 4].
Submitted Solution:
```
n,q=[int(x) for x in input().split()]
ns=[int(x) for x in input().split()]
bn=3
last=[n]*bn
nxt=[[n]*bn for i in range(n)]
for i in reversed(range(n)):
for j in range(bn):
if (ns[i]>>j)&1==1:
nxt[i][j]=i
npos=last[j]
last[j]=i
if npos<n:
for k in range(bn):
nxt[i][k]=min(nxt[i][k],nxt[npos][k])
else:
nxt[i][j]=last[j]
for qi in range(q):
x,y=[int(x) for x in input().split()]
x-=1
y-=1
ans=False
for k in range(bn):
if nxt[x][k]<=y and (ns[y]>>k)&1==1:
ans=True
break
print('Shi' if ans else 'Fou')
# print(last)
``` | instruction | 0 | 31,841 | 5 | 63,682 |
No | output | 1 | 31,841 | 5 | 63,683 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,239 | 5 | 64,478 |
"Correct Solution:
```
k, R, a = int(input()), 7, -1
for i in range(1, k+10):
if not R%k:
a = i
break
R = (R * 10 + 7) % k
print(a)
``` | output | 1 | 32,239 | 5 | 64,479 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,240 | 5 | 64,480 |
"Correct Solution:
```
k=int(input())
n=7%k
for i in range(1,k+1):
if n == 0:
print(i)
exit()
n=(n*10+7) % k
print(-1)
``` | output | 1 | 32,240 | 5 | 64,481 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,241 | 5 | 64,482 |
"Correct Solution:
```
K = int(input())
if K%2==0 or K%5==0:
print(-1)
else:
n = 1
Rem = 7%K
while Rem!=0:
Rem = (Rem*10+7)%K
n+=1
print(n)
``` | output | 1 | 32,241 | 5 | 64,483 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,242 | 5 | 64,484 |
"Correct Solution:
```
k = int(input())
a = 0
ans = -1
for i in range(k):
a = (a*10+7)%k
if a == 0:
ans = i+1
break
print(ans)
``` | output | 1 | 32,242 | 5 | 64,485 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,243 | 5 | 64,486 |
"Correct Solution:
```
k=int(input())
n=7%k
for i in range(1,k+1):
if n==0:
print(i)
exit()
n=(10*n+7)%k
print(-1)
``` | output | 1 | 32,243 | 5 | 64,487 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,244 | 5 | 64,488 |
"Correct Solution:
```
K=int(input())
n=0
an=0
for i in range(K+10):
n+=1
an=(10*an+7)%K
if an==0:
print(n)
exit()
print(-1)
``` | output | 1 | 32,244 | 5 | 64,489 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,245 | 5 | 64,490 |
"Correct Solution:
```
k = int(input())
x = 7 % k
for i in range(1, k+1):
if x == 0:
print(i)
exit()
x = (x*10+7)%k
print(-1)
``` | output | 1 | 32,245 | 5 | 64,491 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982 | instruction | 0 | 32,246 | 5 | 64,492 |
"Correct Solution:
```
k = int(input())
if k%2==0 or k%5==0:
print(-1)
exit()
s=7
cnt=1
while s%k!=0:
s=s%k*10+7
cnt+=1
#print(s)
print(cnt)
``` | output | 1 | 32,246 | 5 | 64,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
K = int(input())
L,r = K*9 if K%7 else K*9//7, 10
for i in range(1,L+1):
r %= L
if r == 1:
print(i)
exit()
r *= 10
print(-1)
``` | instruction | 0 | 32,247 | 5 | 64,494 |
Yes | output | 1 | 32,247 | 5 | 64,495 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
n=int(input())
mod=7
for i in range(n):
if mod%n==0:
print(i+1)
exit()
mod=(mod*10+7) %n
print(-1)
``` | instruction | 0 | 32,248 | 5 | 64,496 |
Yes | output | 1 | 32,248 | 5 | 64,497 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
k=int(input())
a=7
for i in range(1,k+1):
if a%k==0:
print(i)
exit()
a=(a*10+7)%k
print(-1)
``` | instruction | 0 | 32,249 | 5 | 64,498 |
Yes | output | 1 | 32,249 | 5 | 64,499 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
K=int(input())
ans=1
x=7%K
for i in range(K):
if x!=0:
ans+=1
x=(x*10+7)%K
if x==0:
print(ans)
else:
print(-1)
``` | instruction | 0 | 32,250 | 5 | 64,500 |
Yes | output | 1 | 32,250 | 5 | 64,501 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
k = int(input())
if k % 2 == 0 or k % 5 == 0:
print(-1)
exit()
r = 0
for i in range(1, k//2):
r = (r * 10 + 7) % k
if r == 0:
print(i)
break
else:
print(k-1)
``` | instruction | 0 | 32,251 | 5 | 64,502 |
No | output | 1 | 32,251 | 5 | 64,503 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
K=int(input())
if K % 2 == 0:
print(-1)
exit()
m = set()
x = 7
m.add(x)
ans = 1
while x > 0:
if x < K:
x = x*10 + 7
ans += 1
continue
if x in m:
print(-1)
exit(0)
x = x % K
print(ans)
``` | instruction | 0 | 32,252 | 5 | 64,504 |
No | output | 1 | 32,252 | 5 | 64,505 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
K = int(input())
a = 7
for i in range(1, K):
if a % K == 0:
print(i)
break
a = (10 * a + 7) % K
else:
print(-1)
``` | instruction | 0 | 32,253 | 5 | 64,506 |
No | output | 1 | 32,253 | 5 | 64,507 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves the number 7 and multiples of K.
Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)
If the sequence contains no multiples of K, print `-1` instead.
Constraints
* 1 \leq K \leq 10^6
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print `4`.)
Examples
Input
101
Output
4
Input
2
Output
-1
Input
999983
Output
999982
Submitted Solution:
```
import sys
import itertools
sys.setrecursionlimit(1000000000)
from heapq import heapify,heappop,heappush,heappushpop
import math
import collections
import copy
import bisect
INF = 10**9+7
if __name__ == "__main__":
k = int(input())
if k%2 == 0:
print(-1)
sys.exit()
a = 7
p = len(str(k)) + 1
for i in range(p+10**3):
if a%k == 0:
print(i+1)
sys.exit()
a*=10
a+=7
print(k-1)
``` | instruction | 0 | 32,254 | 5 | 64,508 |
No | output | 1 | 32,254 | 5 | 64,509 |
Provide a correct Python 3 solution for this coding contest problem.
We have a 3 \times 3 grid. A number c_{i, j} is written in the square (i, j), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a_1, a_2, a_3, b_1, b_2, b_3 whose values are fixed, and the number written in the square (i, j) is equal to a_i + b_j.
Determine if he is correct.
Constraints
* c_{i, j} \ (1 \leq i \leq 3, 1 \leq j \leq 3) is an integer between 0 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
c_{1,1} c_{1,2} c_{1,3}
c_{2,1} c_{2,2} c_{2,3}
c_{3,1} c_{3,2} c_{3,3}
Output
If Takahashi's statement is correct, print `Yes`; otherwise, print `No`.
Examples
Input
1 0 1
2 1 2
1 0 1
Output
Yes
Input
2 2 2
2 1 2
2 2 2
Output
No
Input
0 8 8
0 8 8
0 8 8
Output
Yes
Input
1 8 6
2 9 7
0 7 7
Output
No | instruction | 0 | 32,338 | 5 | 64,676 |
"Correct Solution:
```
[(a,b,c),(d,e,f),(g,h,i)]= [map(int, input().split()) for i in range(3)]
if a-b==d-e==g-h and b-c==e-f==h-i:
print('Yes')
else:
print('No')
``` | output | 1 | 32,338 | 5 | 64,677 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a 3 \times 3 grid. A number c_{i, j} is written in the square (i, j), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a_1, a_2, a_3, b_1, b_2, b_3 whose values are fixed, and the number written in the square (i, j) is equal to a_i + b_j.
Determine if he is correct.
Constraints
* c_{i, j} \ (1 \leq i \leq 3, 1 \leq j \leq 3) is an integer between 0 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
c_{1,1} c_{1,2} c_{1,3}
c_{2,1} c_{2,2} c_{2,3}
c_{3,1} c_{3,2} c_{3,3}
Output
If Takahashi's statement is correct, print `Yes`; otherwise, print `No`.
Examples
Input
1 0 1
2 1 2
1 0 1
Output
Yes
Input
2 2 2
2 1 2
2 2 2
Output
No
Input
0 8 8
0 8 8
0 8 8
Output
Yes
Input
1 8 6
2 9 7
0 7 7
Output
No
Submitted Solution:
```
C=[list(map(int,input().split())) for _ in range(3)]
for i in range(1,3):
if C[i][0]-C[0][0]==C[i][1]-C[0][1] and C[i][0]-C[0][0]==C[i][2]-C[0][2]:
pass
else:
print("No")
exit()
print("Yes")
``` | instruction | 0 | 32,345 | 5 | 64,690 |
Yes | output | 1 | 32,345 | 5 | 64,691 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a 3 \times 3 grid. A number c_{i, j} is written in the square (i, j), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a_1, a_2, a_3, b_1, b_2, b_3 whose values are fixed, and the number written in the square (i, j) is equal to a_i + b_j.
Determine if he is correct.
Constraints
* c_{i, j} \ (1 \leq i \leq 3, 1 \leq j \leq 3) is an integer between 0 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
c_{1,1} c_{1,2} c_{1,3}
c_{2,1} c_{2,2} c_{2,3}
c_{3,1} c_{3,2} c_{3,3}
Output
If Takahashi's statement is correct, print `Yes`; otherwise, print `No`.
Examples
Input
1 0 1
2 1 2
1 0 1
Output
Yes
Input
2 2 2
2 1 2
2 2 2
Output
No
Input
0 8 8
0 8 8
0 8 8
Output
Yes
Input
1 8 6
2 9 7
0 7 7
Output
No
Submitted Solution:
```
S=[list(map(int, input().split())) for i in range(3)]
if S[1][0]-S[0][0]==S[1][1]-S[0][1]==S[1][2]-S[0][2] and S[2][0]-S[1][0]==S[2][1]-S[1][1]==S[2][2]-S[1][2]:
print("Yes")
else: print("No")
``` | instruction | 0 | 32,346 | 5 | 64,692 |
Yes | output | 1 | 32,346 | 5 | 64,693 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a 3 \times 3 grid. A number c_{i, j} is written in the square (i, j), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a_1, a_2, a_3, b_1, b_2, b_3 whose values are fixed, and the number written in the square (i, j) is equal to a_i + b_j.
Determine if he is correct.
Constraints
* c_{i, j} \ (1 \leq i \leq 3, 1 \leq j \leq 3) is an integer between 0 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
c_{1,1} c_{1,2} c_{1,3}
c_{2,1} c_{2,2} c_{2,3}
c_{3,1} c_{3,2} c_{3,3}
Output
If Takahashi's statement is correct, print `Yes`; otherwise, print `No`.
Examples
Input
1 0 1
2 1 2
1 0 1
Output
Yes
Input
2 2 2
2 1 2
2 2 2
Output
No
Input
0 8 8
0 8 8
0 8 8
Output
Yes
Input
1 8 6
2 9 7
0 7 7
Output
No
Submitted Solution:
```
def main():
c11, c12, c13 = map(int, input().split())
c21, c22, c23 = map(int, input().split())
c31, c32, c33 = map(int, input().split())
r1m = max([c11, c12, c13])
r2m = max([c21, c22, c23])
r3m = max([c31, c32, c33])
c1m = max([c11, c21, c31])
c2m = max([c12, c22, c32])
c3m = max([c13, c23, c33])
a = [(a1, a2, a3) for a1 in range(0, r1m + 1) for a2 in range(0, r2m + 1) for a3 in range(0, r3m + 1)]
m = max(a)
b = [(b1, b2, b3) for b1 in range(0, c1m - m + 1) for b2 in range(0, c2m - m + 1) for b3 in range(0, c3m - m + 1)]
for a1, a2, a3, b1, b2, b3 in a, b:
if (a1 + b3 == c13 and a2 + b3 == c23 and a3 + b3 == c33
and a1 + b1 == c11 and a2 + b1 == c21 and a3 + b1 == c31
and a1 + b3 == c13 and a2 + b3 == c23 and a3 + b3 == c33):
print('Yes')
return
# if a1 + b3 == c13 and a2 + b3 == c23 and a3 + b3 == c33:
# print('Yes')
# return
# m = max([a1, a2, a3])
# for b1 in range(0, c1m - m + 1):
# if a1 + b1 == c11 and a2 + b1 == c21 and a3 + b1 == c31:
# for b2 in range(0, c2m - m + 1):
# if a1 + b2 == c12 and a2 + b2 == c22 and a3 + b2 == c32:
# for b3 in range(0, c3m - m + 1):
# if a1 + b3 == c13 and a2 + b3 == c23 and a3 + b3 == c33:
# print('Yes')
# return
print('No')
return
if __name__ == '__main__':
main()
``` | instruction | 0 | 32,348 | 5 | 64,696 |
No | output | 1 | 32,348 | 5 | 64,697 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a 3 \times 3 grid. A number c_{i, j} is written in the square (i, j), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a_1, a_2, a_3, b_1, b_2, b_3 whose values are fixed, and the number written in the square (i, j) is equal to a_i + b_j.
Determine if he is correct.
Constraints
* c_{i, j} \ (1 \leq i \leq 3, 1 \leq j \leq 3) is an integer between 0 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
c_{1,1} c_{1,2} c_{1,3}
c_{2,1} c_{2,2} c_{2,3}
c_{3,1} c_{3,2} c_{3,3}
Output
If Takahashi's statement is correct, print `Yes`; otherwise, print `No`.
Examples
Input
1 0 1
2 1 2
1 0 1
Output
Yes
Input
2 2 2
2 1 2
2 2 2
Output
No
Input
0 8 8
0 8 8
0 8 8
Output
Yes
Input
1 8 6
2 9 7
0 7 7
Output
No
Submitted Solution:
```
c = [[]]*3
for i in range(3):
c[i] = map(int, input().split())
ans = 0
for i in range(3):
ans += sum(c[i])
if ans % 3 == 0:
arr = [0]* 3
for i in range(3):
arr = c[i][0] - c[i][1] - c[i][2]
if arr[0] == arr[1] and arr[0] == arr[2]:
print("Yes")
exit(0)
print("No")
``` | instruction | 0 | 32,349 | 5 | 64,698 |
No | output | 1 | 32,349 | 5 | 64,699 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a 3 \times 3 grid. A number c_{i, j} is written in the square (i, j), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.
According to Takahashi, there are six integers a_1, a_2, a_3, b_1, b_2, b_3 whose values are fixed, and the number written in the square (i, j) is equal to a_i + b_j.
Determine if he is correct.
Constraints
* c_{i, j} \ (1 \leq i \leq 3, 1 \leq j \leq 3) is an integer between 0 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
c_{1,1} c_{1,2} c_{1,3}
c_{2,1} c_{2,2} c_{2,3}
c_{3,1} c_{3,2} c_{3,3}
Output
If Takahashi's statement is correct, print `Yes`; otherwise, print `No`.
Examples
Input
1 0 1
2 1 2
1 0 1
Output
Yes
Input
2 2 2
2 1 2
2 2 2
Output
No
Input
0 8 8
0 8 8
0 8 8
Output
Yes
Input
1 8 6
2 9 7
0 7 7
Output
No
Submitted Solution:
```
c1 = list(map(int,input().split()))
c2 = list(map(int,input().split()))
c3 = list(map(int,input().split()))
a = c1[0]+c2[1]+c3[2]
b = c1[1]+c2[2]+c3[0]
c = c1[2]+c2[0]+c3[1]
d = c1[0]+c2[2]+c3[1]
e = c1[1]+c2[0]+c3[2]
f = c1[2]+c2[1]+c3[0]
if a=b=c=d=e=f:
print('Yes')
else:
print('No')
``` | instruction | 0 | 32,350 | 5 | 64,700 |
No | output | 1 | 32,350 | 5 | 64,701 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
2
10 10
Output
40.00000000 | instruction | 0 | 32,446 | 5 | 64,892 |
"Correct Solution:
```
def solve():
N = int(input())
c = [int(i) for i in input().split()]
if N == 1:
return c[0] *2
r = c[0]*2
x = [c[0]]
for i in range(1,N):
r_ = c[i]
r_n = r_
for j in range(i):
b = c[j]
x_= x[j]
dt = 2 * ((r_*b)**(1/2))
x_ += dt
r_n = max(r_n,x_)
x.append(r_n)
if r < r_n + r_:
r = r_n +r_
#print(x)
return r
print(solve())
``` | output | 1 | 32,446 | 5 | 64,893 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
2
10 10
Output
40.00000000 | instruction | 0 | 32,447 | 5 | 64,894 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 998244353
dd = [(0,-1),(1,0),(0,1),(-1,0)]
ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
rr = []
while True:
n = I()
a = LI()
l = len(a)
if l == 1:
rr.append(a[0]*2)
break
r = a[0] * 2
p = [a[0]]
for i in range(1,n):
c = a[i]
cp = c
for j in range(i):
b = a[j]
bp = p[j]
t = abs(b-c)
u = ((b+c)**2 - t**2) ** 0.5
tp = bp + u
if cp < tp:
cp = tp
p.append(cp)
if r < cp + c:
r = cp + c
rr.append('{:00.9f}'.format(r))
break
return '\n'.join(map(str, rr))
print(main())
``` | output | 1 | 32,447 | 5 | 64,895 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
Input
The input contains two integers a1, a2 (0 ≤ ai ≤ 32), separated by a single space.
Output
Output a single integer.
Examples
Input
1 1
Output
0
Input
3 7
Output
0
Input
13 10
Output
1 | instruction | 0 | 32,815 | 5 | 65,630 |
Tags: *special, implementation
Correct Solution:
```
a1,a2=map(str,input().split())
a1=int(a1)
a2=int(a2[::-1])
print(a1+a2)
``` | output | 1 | 32,815 | 5 | 65,631 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
Input
The input contains two integers a1, a2 (0 ≤ ai ≤ 32), separated by a single space.
Output
Output a single integer.
Examples
Input
1 1
Output
0
Input
3 7
Output
0
Input
13 10
Output
1 | instruction | 0 | 32,817 | 5 | 65,634 |
Tags: *special, implementation
Correct Solution:
```
n1 , n2 = map(int,input().split())
print ( n1 + int(str(n2)[::-1]) )
``` | output | 1 | 32,817 | 5 | 65,635 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
Input
The input contains two integers a1, a2 (0 ≤ ai ≤ 32), separated by a single space.
Output
Output a single integer.
Examples
Input
1 1
Output
0
Input
3 7
Output
0
Input
13 10
Output
1 | instruction | 0 | 32,819 | 5 | 65,638 |
Tags: *special, implementation
Correct Solution:
```
a,b=map(str,input().split())
num="".join(reversed(b))
ans=int(a)+int(num)
print(ans)
``` | output | 1 | 32,819 | 5 | 65,639 |
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