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 |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Kurohashi has never participated in AtCoder Beginner Contest (ABC).
The next ABC to be held is ABC N (the N-th ABC ever held). Kurohashi wants to make his debut in some ABC x such that all the digits of x in base ten are the same.
What is the earliest ABC where Kurohashi can make his debut?
Constraints
* 100 \leq N \leq 999
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If the earliest ABC where Kurohashi can make his debut is ABC n, print n.
Examples
Input
111
Output
111
Input
112
Output
222
Input
750
Output
777 | instruction | 0 | 15,784 | 5 | 31,568 |
"Correct Solution:
```
N = int(input())
ans = (((N - 1) // 111) + 1)*111
print(ans)
``` | output | 1 | 15,784 | 5 | 31,569 |
Provide a correct Python 3 solution for this coding contest problem.
Kurohashi has never participated in AtCoder Beginner Contest (ABC).
The next ABC to be held is ABC N (the N-th ABC ever held). Kurohashi wants to make his debut in some ABC x such that all the digits of x in base ten are the same.
What is the earliest ABC where Kurohashi can make his debut?
Constraints
* 100 \leq N \leq 999
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If the earliest ABC where Kurohashi can make his debut is ABC n, print n.
Examples
Input
111
Output
111
Input
112
Output
222
Input
750
Output
777 | instruction | 0 | 15,785 | 5 | 31,570 |
"Correct Solution:
```
n = int(input())
while n % 111:
n += 1
print(n)
``` | output | 1 | 15,785 | 5 | 31,571 |
Provide a correct Python 3 solution for this coding contest problem.
Kurohashi has never participated in AtCoder Beginner Contest (ABC).
The next ABC to be held is ABC N (the N-th ABC ever held). Kurohashi wants to make his debut in some ABC x such that all the digits of x in base ten are the same.
What is the earliest ABC where Kurohashi can make his debut?
Constraints
* 100 \leq N \leq 999
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If the earliest ABC where Kurohashi can make his debut is ABC n, print n.
Examples
Input
111
Output
111
Input
112
Output
222
Input
750
Output
777 | instruction | 0 | 15,786 | 5 | 31,572 |
"Correct Solution:
```
n = int(input())
print(111 * ((n-1) // 111 + 1))
``` | output | 1 | 15,786 | 5 | 31,573 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,796 | 5 | 31,592 |
"Correct Solution:
```
K, N = map(int, input().split())
if K % 2 == 0:
ans = [K//2] + [K] * (N-1)
else:
ans = [(K+1)//2] * N
for i in range(N//2):
if ans[-1] == 1:
ans.pop()
else:
ans[-1] -= 1
ans += [K] * (N - len(ans))
print(' '.join(map(str, ans)))
``` | output | 1 | 15,796 | 5 | 31,593 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,797 | 5 | 31,594 |
"Correct Solution:
```
N,K=map(int,input().split())
#1 2 3...N
if N%2==0:
L=[str(N)]*K
L[0]=str(N//2)
print(" ".join(L))
exit()
#L[0]=N//2+1
#N//2のずれ？
L=[(N//2)+1]*K
for i in range(K//2):
if L[-1]==1:
L.pop(-1)
elif len(L)!=K:
L[-1]-=1
L+=[N]*(K-len(L))
else:
L[-1]-=1
L=list(map(str,L))
print(" ".join(L))
``` | output | 1 | 15,797 | 5 | 31,595 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,798 | 5 | 31,596 |
"Correct Solution:
```
def main():
K,N = map(int,input().split())
if K % 2 == 0:
ans = [K//2]
for i in range(N-1):
ans.append(K)
else:
back = N // 2
mid = K // 2 + 1
ans = [mid for i in range(N)]
for i in range(back):
if ans[-1] == 1:
ans.pop()
else:
ans[-1] -= 1
while len(ans) < N:
ans.append(K)
print(' '.join(map(str, ans)))
if __name__ == '__main__':
main()
``` | output | 1 | 15,798 | 5 | 31,597 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,799 | 5 | 31,598 |
"Correct Solution:
```
# seishin.py
K, N = map(int, input().split())
if K % 2 == 0:
print(*[K//2] + [K]*(N-1))
else:
X = [(K+1)//2] * N
for i in range(N//2):
if X[-1] == 1:
X.pop()
else:
X[-1] -= 1
X.extend([K]*(N-len(X)))
print(*X)
``` | output | 1 | 15,799 | 5 | 31,599 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,800 | 5 | 31,600 |
"Correct Solution:
```
k,n = map(int,input().split())
if k%2 == 0:
ans = [k//2]+[k]*(n-1)
else:
t = n//2
ans = [k//2+1]*n
for i in range(t):
if ans[-1] == 1:
ans.pop()
else:
ans[-1] -= 1
while len(ans) < n:
ans.append(k)
print(*ans)
``` | output | 1 | 15,800 | 5 | 31,601 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,801 | 5 | 31,602 |
"Correct Solution:
```
K,N = map(int,input().split())
if K % 2 == 0:
ans = [K//2]
for i in range(N-1):
ans.append(K)
else:
back = N//2
mid = K//2 + 1
ans = [mid for i in range(N)]
for i in range(back):
if ans[-1] == 1:
ans.pop()
else:
ans[-1] -= 1
while len(ans) < N:
ans.append(K)
print(' '.join(map(str,ans)))
``` | output | 1 | 15,801 | 5 | 31,603 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,802 | 5 | 31,604 |
"Correct Solution:
```
K, N = map(int, input().split())
if K % 2 == 0:
print(K // 2, end = ' ')
for i in range(1, N):
if i != N - 1:
print(K, end = ' ')
else:
print(K)
else:
def superlist(L, n):
if n % 2 == 1:
return [L // 2 + 1] + superlist(L, n-1)
else:
Ax = [L // 2 + 1 for i in range(n)]
j = n - 1
for i in range(n // 2):
Ax[j] -= 1
if Ax[j] == 0:
j -= 1
else:
for m in range(j + 1, n):
Ax[m] = L
j = n - 1
return Ax
if K == 1:
for i in range((N - 1) // 2 + 1):
if i != (N - 1) // 2:
print(1, end = ' ')
else:
print(1)
else:
A = superlist(K, N)
for _ in range(N):
if _ != N - 1 and A[_] != 0:
print(A[_], end = ' ')
elif _ == N - 1 and A[_] != 0:
print(A[_])
``` | output | 1 | 15,802 | 5 | 31,605 |
Provide a correct Python 3 solution for this coding contest problem.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2 | instruction | 0 | 15,803 | 5 | 31,606 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(10**6)
k, n = map(int, input().split())
def calc_x(K, N):
return (pow(K, N+1)-K) // (K-1)
def lexico(K, N, X):
#print(K, N, X)
global ans
if X == 0:
return
q = (calc_x(K, N-1)+1)
if N > 1:
ans.append((X//q) + 1)
else:
ans.append((X//q))
lexico(K, N-1, (X-1)%q)
if k == 1:
print(*[1 for _ in range((n+1)//2)])
elif n == 1:
print((k+1)//2)
elif k%2 == 0:
ans = [k//2] + [k] * (n-1)
print(*ans)
else:
if n%2 == 1:
cur, i = 1, n
else:
cur, i = 0, n
while cur <= i:
i -= 1
cur += pow(k, n-i)
ans = [(k+1)//2] * i
ind = (cur-i) // 2
lexico(k, n-i, ind)
print(*ans)
``` | output | 1 | 15,803 | 5 | 31,607 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
a,n=map(int,input().split())
if a%2==0:
print(*[a//2]+[a]*(n-1))
else:
d=[(a+1)//2]*n
for i in range(n//2):
if d[-1]==1:
d.pop()
else:
d[-1]-=1
d.extend([a]*(n-len(d)))
print(" ".join(str(i)for i in d))
``` | instruction | 0 | 15,804 | 5 | 31,608 |
Yes | output | 1 | 15,804 | 5 | 31,609 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
import sys
sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def main():
k,n=MI()
end = n - 1
if k%2:
ans=[k//2+1]*n
for _ in range(n//2):
if ans[end]==1:
end-=1
else:
ans[end]-=1
if end!=n-1:
for i in range(end+1,n):
ans[i]=k
end=n-1
else:
ans=[k//2]+[k]*(n-1)
print(*ans[:end+1])
main()
``` | instruction | 0 | 15,805 | 5 | 31,610 |
Yes | output | 1 | 15,805 | 5 | 31,611 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
def solve(k, n):
if k & 1 == 0:
return [k // 2] + [k] * (n - 1)
ans = [k // 2 + 1] * n
l = n
for i in range((n - 2) // 2 + 1):
if ans[-1] == 1:
ans.pop()
l -= 1
else:
ans[-1] -= 1
if l < n:
ans += [k] * (n - l)
l = n
return ans
k, n = map(int, input().split())
print(*solve(k, n))
``` | instruction | 0 | 15,806 | 5 | 31,612 |
Yes | output | 1 | 15,806 | 5 | 31,613 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
import math
def main(K, N):
ans = []
if K % 2 == 0:
for i in range(N):
if i == 0:
ans.append(K // 2)
else:
ans.append(K)
elif K == 1:
n2 = math.ceil(N / 2)
for i in range(n2):
ans.append(1)
else:
K2 = math.ceil(K / 2)
ans = [K2] * N
n = N // 2
for i in range(n):
if ans[-1] == 1:
ans.pop()
else:
ans[-1] -= 1
while len(ans) < N:
ans.append(K)
return ' '.join(map(str, ans))
K, N = map(int, input().split())
print(main(K, N))
``` | instruction | 0 | 15,807 | 5 | 31,614 |
Yes | output | 1 | 15,807 | 5 | 31,615 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
a,n=map(int,input().split())
if a%2==0:
print(" ".join(str(a//2)+str(a)*(n-1)))
else:
d=[(a+1)//2]*n
for i in range(n//2):
if d[-1]==1:
d.pop()
else:
d[-1]-=1
d.extend([a]*(n-len(d)))
print(" ".join(str(i)for i in d))
``` | instruction | 0 | 15,808 | 5 | 31,616 |
No | output | 1 | 15,808 | 5 | 31,617 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
from itertools import chain,repeat
K,N = map(int,input().split())
def dec(seq):
if seq[-1] == 1:
seq.pop()
else:
seq[-1] -= 1
if len(seq) < N:
seq += list(repeat(K,N-len(seq)))
return seq
if K % 2 == 0:
print(' '.join(chain((K-1,),repeat(K,N-1))))
else:
seq = list(repeat(K//2+1,N))
d = (N-1)//2
for _ in range(d+1):
seq = dec(seq)
print(' '.join(map(str, seq)))
``` | instruction | 0 | 15,809 | 5 | 31,618 |
No | output | 1 | 15,809 | 5 | 31,619 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
import math
import random
def main(K, N):
ans = []
if K % 2 == 0:
for i in range(N):
if i == 0:
ans.append(K // 2)
else:
ans.append(K)
elif K == 1:
n2 = math.ceil(N / 2)
for i in range(n2):
ans.append(1)
else:
K2 = math.ceil(K / 2)
n2 = math.floor(N / 2)
ans = [K2] * N
i = 0
nx = 0
last = True
while n2 > 0 or nx == 1:
i += 1
ans[N - i] = max(K2 - n2 % (K + 1) - nx, 0)
if ans[N - i] == 0 and last:
ans.pop()
else:
last = False
n2 //= K + 1
if K2 - n2 % (K + 1) - nx < 0:
nx = 1
else:
nx = 0
print(' '.join(map(str, ans)))
K, N = map(int, input().split())
main(K, N)
``` | instruction | 0 | 15,810 | 5 | 31,620 |
No | output | 1 | 15,810 | 5 | 31,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicographically smallest one.
Constraints
* 1 \leq N,K \leq 3 × 10^5
* N and K are integers.
Input
Input is given from Standard Input in the following format:
K N
Output
Print the (X/2)-th (rounded up to the nearest integer) lexicographically smallest sequence listed in FEIS, with spaces in between, where X is the total number of sequences listed in FEIS.
Examples
Input
3 2
Output
2 1
Input
2 4
Output
1 2 2 2
Input
5 14
Output
3 3 3 3 3 3 3 3 3 3 3 3 2 2
Submitted Solution:
```
from itertools import chain,repeat
K,N = map(int,input().split())
def solve():
def dec(seq):
if seq[-1] == 1:
seq.pop()
else:
seq[-1] -= 1
if len(seq) < N:
seq += list(repeat(K,N-len(seq)))
return seq
if K % 2 == 0:
print(' '.join(map(str, chain((K//2,),repeat(K//2+1,N-1)))))
else:
seq = list(repeat(K//2+1,N))
d = (N - 1)//2 + 1
for _ in range(d):
seq = dec(seq)
print(' '.join(map(str, seq)))
def naive():
from itertools import product
s = sorted(chain.from_iterable(product(range(1,K+1),repeat=i) for i in range(1,N+1)))
print(' '.join(map(str, s[len(s)//2-1])))
solve()
``` | instruction | 0 | 15,811 | 5 | 31,622 |
No | output | 1 | 15,811 | 5 | 31,623 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,909 | 5 | 31,818 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
print(sum(a)-n*(n+1)//2)
``` | output | 1 | 15,909 | 5 | 31,819 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,910 | 5 | 31,820 |
"Correct Solution:
```
n = int(input())
v = list(map(int,input().split()))
count = 0
ans = 0
s = -1
while count != n:
ans -= s
s -= 1
count += 1
print(sum(v)-ans)
``` | output | 1 | 15,910 | 5 | 31,821 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,911 | 5 | 31,822 |
"Correct Solution:
```
N = int(input())
A = sorted(list(map(int, input().split())))
print(sum([A[i]-i-1 for i in range(N)]))
``` | output | 1 | 15,911 | 5 | 31,823 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,912 | 5 | 31,824 |
"Correct Solution:
```
n=int(input())
v=list(map(int,input().split()))
print(sum(v)-(n*(n+1)//2))
``` | output | 1 | 15,912 | 5 | 31,825 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,913 | 5 | 31,826 |
"Correct Solution:
```
n = int(input())
v = list(map(int, input().split()))
ans = 0
v.sort()
v.reverse()
for i in range(n):
ans += v[i] - (i + 1)
print(ans)
``` | output | 1 | 15,913 | 5 | 31,827 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,914 | 5 | 31,828 |
"Correct Solution:
```
N = int(input())
V = [int(x) for x in input().split()]
print(sum(V) - (N * (N + 1) // 2))
``` | output | 1 | 15,914 | 5 | 31,829 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,915 | 5 | 31,830 |
"Correct Solution:
```
N = int(input())
V = [int(i) for i in input().split()]
print(sum(V) - N * (N + 1) // 2)
``` | output | 1 | 15,915 | 5 | 31,831 |
Provide a correct Python 3 solution for this coding contest problem.
Gag
Segtree has $ N $ of "gags", each with a value of $ V_i $.
Segtree decided to publish all the gags in any order.
Here, the "joy" you get when you publish the $ i $ th gag to the $ j $ th is expressed as $ V_i --j $.
Find the maximum sum of the "joy" you can get.
input
Input is given from standard input in the following format.
$ N $
$ V_1 $ $ V_2 $ $ \ ldots $ $ V_N $
output
Please output the maximum value of the sum of "joy". However, the value does not always fit in a 32-bit integer.
Insert a line break at the end.
Constraint
* $ 1 \ leq N \ leq 10 ^ 5 $
* $ 1 \ leq V_i \ leq 10 ^ 5 $
* All inputs are integers.
Input example 1
1
59549
Output example 1
59548
Input example 2
Five
2 1 8 5 7
Output example 2
8
Example
Input
1
59549
Output
59548 | instruction | 0 | 15,916 | 5 | 31,832 |
"Correct Solution:
```
N=int(input())
V=list(map(int,input().split()))
V.sort()
print(sum([V[i]-(i+1) for i in range(N)]))
``` | output | 1 | 15,916 | 5 | 31,833 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,917 | 5 | 31,834 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
N, Q = map(int, input().split())
A = [int(i) for i in input().split()]
X = [int(i) for i in input().split()]
def count(x):
ans = 0
left = 0
total = 0
for right in range(N):
total += A[right]
while total > x:
total -= A[left]
left += 1
ans += right - left + 1
return ans
for x in X:
print(count(x))
``` | output | 1 | 15,917 | 5 | 31,835 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,918 | 5 | 31,836 |
"Correct Solution:
```
#!/usr/bin/env python3
# DSL_3_C: The Number of Windows
from bisect import bisect_left, bisect_right
from collections import deque
from sys import stdin
def intersect(ss, i, j, mid, v):
i = bisect_left(ss, ss[mid+1]-v, i, mid)
ii = bisect_left(ss, ss[j]-v, i, mid) + 1
j = bisect_right(ss, ss[mid]+v, mid, j+1) - 1
jj = mid+1
acc = 0
sjj = ss[jj+1]
for s in ss[i:ii]:
if sjj <= s+v:
jj = bisect_right(ss, s+v, jj, j+1) - 1
sjj = ss[jj+1]
acc += jj - mid
acc += (jj - mid) * (mid - ii)
return acc
def count(ss, s, t, v):
q = deque()
ret = 0
q.append((s, t))
while q:
i, j = q.popleft()
if ss[j] - ss[i] <= v:
ret += (j-i) * (j-i+1) // 2
elif j - i > 1:
mid = (i + j) // 2
q.append((i, mid))
q.append((mid, j))
ret += intersect(ss, i, j, mid, v)
return ret
def run():
n, q = [int(x) for x in input().split()]
s = 0
sums = [s]
for v in map(int, stdin.readline().split()):
s += v
sums.append(s)
qs = [int(x) for x in input().split()]
sums.append(s + max(qs))
for v in qs:
print(count(sums, 0, n, v))
if __name__ == '__main__':
run()
``` | output | 1 | 15,918 | 5 | 31,837 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,919 | 5 | 31,838 |
"Correct Solution:
```
def solve(A, x):
i = 0
total = 0
res = 0
for j in range(N):
total += A[j]
while total > x:
total -= A[i]
i += 1
res += j - i + 1
return res
N, Q = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
X = [int(x) for x in input().split()]
for x in X:
print(solve(A, x))
``` | output | 1 | 15,919 | 5 | 31,839 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,920 | 5 | 31,840 |
"Correct Solution:
```
def solve(a, x):
i = 0
total = 0
res = 0
for j in range(n):
total += a[j]
while total > x:
total -= a[i]
i += 1
res += j - i + 1
return res
n, q = map(int, input().split())
a = [int(x) for x in input().split()]
x = [int(x) for x in input().split()]
for x_i in x:
print(solve(a, x_i))
``` | output | 1 | 15,920 | 5 | 31,841 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,921 | 5 | 31,842 |
"Correct Solution:
```
def solve(A, x):
i = 0
total = 0
res = 0
for j in range(N):
total += A[j]
while total > x:
total -= A[i]
i += 1
res += j - i + 1
return res
N, Q = map(int, input().split())
A = list(map(int, input().split()))
X = list(map(int, input().split()))
for x in X:
print(solve(A, x))
``` | output | 1 | 15,921 | 5 | 31,843 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,922 | 5 | 31,844 |
"Correct Solution:
```
import sys
import os
il = lambda: list(map(int, sys.stdin.buffer.readline().split()))
def main():
if os.getenv("LOCAL"):
sys.stdin = open("input.txt", "r")
N, Q = il()
A = il()
Q = il()
for q in Q:
# 合計, 範囲, 左端の初期化
sm, ret, l = 0, 0, 0
for r in range(N):
# 右端を0から、
# 合計がq以下の位置まで進める
sm += A[r]
while sm > q:
# 合計がqを上回る場合、
# 左端をインクリメント
sm -= A[l]
l += 1
# 合計がq以下となる範囲
ret += r - l + 1
print(ret)
if __name__ == '__main__':
main()
``` | output | 1 | 15,922 | 5 | 31,845 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,923 | 5 | 31,846 |
"Correct Solution:
```
from itertools import accumulate
import sys
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def solve():
n,q = LI()
a = LI()
X = LI()
for x in X:
ans = 0
l = 0
s = 0
for r in range(n+1):
while s > x:
s -= a[l]
l += 1
ans += r-l
if r < n:
s += a[r]
print(ans)
return
#Solve
if __name__ == "__main__":
solve()
``` | output | 1 | 15,923 | 5 | 31,847 |
Provide a correct Python 3 solution for this coding contest problem.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18 | instruction | 0 | 15,924 | 5 | 31,848 |
"Correct Solution:
```
from bisect import bisect_right
def main():
N, Q = map(int, input().split())
a = [-1 for i in range(N)]
sum = [0 for i in range(N + 1)]
for i, val in enumerate(input().split()):
a[i] = int(val)
sum[i + 1] = sum[i] + a[i]
X = list(map(int, input().split()))
# print("DEBUG: sum={}".format(sum))
for x in X:
ans = solve3(a, x, N, sum)
print(ans)
def solve1(a, x, N, sum):
l, r = 0, 0
ret = 0
while l < N:
if r < N + 1:
r = bisect_right(sum, sum[l] + x, r)
if r > l:
ret += (r - 1 - l)
l += 1
return ret
def solve2(a, x, N, sum):
l, r, sum = 0, 0, 0
ret = 0
while l < N:
while r < N and sum + a[r] <= x:
sum += a[r]
r += 1
ret += (r - l)
sum -= a[l]
l += 1
return ret
def solve3(a, x, N, sum):
l, sum, ans = 0, 0, 0
for r in range(N):
sum += a[r]
while sum > x:
sum -= a[l]
l += 1
ans += r - l + 1
return ans
main()
``` | output | 1 | 15,924 | 5 | 31,849 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
import sys
from typing import Iterator
def solve(x: int) -> Iterator[int]:
global cum_prev, cum
end = 0
it = iter(cum).__next__
nxt = it() - x
for start, c in enumerate(cum_prev):
while (nxt <= c):
nxt = it() - x
end += 1
yield end - start
if __name__ == "__main__":
N, Q = map(lambda x: int(x), input().split())
a = list(map(lambda x: int(x), input().split()))
x = list(map(lambda x: int(x), input().split()))
cum_prev = [0]
cum = []
v = 0
for elem in a:
v += elem
cum_prev.append(v)
cum.append(v)
cum_prev.pop()
cum.append(sys.maxsize)
print("\n".join(map((lambda t: str(sum(t))), map(solve, x))))
``` | instruction | 0 | 15,925 | 5 | 31,850 |
Yes | output | 1 | 15,925 | 5 | 31,851 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
# DSL_3_C.py
def count_two_idx(A,q):
ans = 0
left = 0
csum = 0
for right in range(N):
csum += A[right]
while csum > q:
csum -= A[left]
left += 1
ans += right - left + 1
return ans
N, M = [int(x) for x in input().split()]
A = list(map(int, input().split()))
X = list(map(int, input().split()))
for q in X:
print(count_two_idx(A,q))
``` | instruction | 0 | 15,926 | 5 | 31,852 |
Yes | output | 1 | 15,926 | 5 | 31,853 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
from bisect import bisect_left, bisect_right
from collections import deque
from sys import stdin
def intersect(ss, i, j, mid, v):
i = bisect_left(ss, ss[mid+1]-v, i, mid)
ii = bisect_left(ss, ss[j]-v, i, mid) + 1
j = bisect_right(ss, ss[mid]+v, mid, j+1) - 1
jj = mid+1
acc = 0
sjj = ss[jj+1]
for s in ss[i:ii]:
if sjj <= s+v:
jj = bisect_right(ss, s+v, jj, j+1) - 1
sjj = ss[jj+1]
acc += jj - mid
acc += (jj - mid) * (mid - ii)
return acc
def count(ss, s, t, v):
q = deque()
ret = 0
q.append((s, t))
while q:
i, j = q.popleft()
if ss[j] - ss[i] <= v:
ret += (j-i) * (j-i+1) // 2
elif j - i > 1:
mid = (i + j) // 2
q.append((i, mid))
q.append((mid, j))
ret += intersect(ss, i, j, mid, v)
return ret
def run():
n, q = [int(x) for x in input().split()]
s = 0
sums = [s]
for v in map(int, stdin.readline().split()):
s += v
sums.append(s)
qs = [int(x) for x in input().split()]
sums.append(s + max(qs))
for v in qs:
print(count(sums, 0, n, v))
if __name__ == '__main__':
run()
``` | instruction | 0 | 15,927 | 5 | 31,854 |
Yes | output | 1 | 15,927 | 5 | 31,855 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
import sys
readline = sys.stdin.readline
write = sys.stdout.write
N, Q = map(int, readline().split())
*A, = map(int, readline().split())
X = map(int, readline().split())
ss = [0]; tt = []
v = 0
for a in A:
v += a
ss.append(v); tt.append(v)
ss.pop(); tt.append(10**15)
def solve(x):
t = v = 0
it = iter(tt).__next__
nxt = it()-x
for s, c in enumerate(ss):
while nxt <= c:
nxt = it()-x; t += 1
yield t-s
write("\n".join(map((lambda x: str(sum(x))), map(solve, X))))
write("\n")
``` | instruction | 0 | 15,928 | 5 | 31,856 |
Yes | output | 1 | 15,928 | 5 | 31,857 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
N, Q = map(int, input().split(" "))
a = list(map(int, input().split(" ")))
x = list(map(int, input().split(" ")))
for plc in x:
cursum = 0
cnt = 0
right = 0
left = 0
for left in range(N) :
while right < N and cursum + a[right] <= plc :
cursum += a[right]
right += 1
cnt += right - left
cursum -= a[left]
print(cnt)
``` | instruction | 0 | 15,929 | 5 | 31,858 |
No | output | 1 | 15,929 | 5 | 31,859 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
import sys
def main():
n, q = map(int, input().split())
a = list(map(int, sys.stdin.readline().split()))
x = list(map(int, sys.stdin.readline().split()))
for i in range(q):
com, right, s = 0, 0, 0
for left in range(n):
while right < n and s+a[right] <= x[i]:
s += a[right]
right += 1
com += right - left
if left == right:
right += 1
else:
s -= a[left]
print(com)
if __name__ == '__main__':
main()
``` | instruction | 0 | 15,930 | 5 | 31,860 |
No | output | 1 | 15,930 | 5 | 31,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
N,Q=map(int,input().split())
A=map(int,input().split())
X=map(int,input().split())
for x in X:
r=0
s=0
cnt=0
for l in range(N):
while r<N and s<=x:
s+=A[r]
r+=1
if s>x:
cnt+=r-1-l
else:
cnt+=r-l
if r==l:
r+=1
else:
s-=A[l]
print(cnt)
``` | instruction | 0 | 15,931 | 5 | 31,862 |
No | output | 1 | 15,931 | 5 | 31,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and $Q$ integers $x_i$ as queries, for each query, print the number of combinations of two integers $(l, r)$ which satisfies the condition: $1 \leq l \leq r \leq N$ and $a_l + a_{l+1} + ... + a_{r-1} + a_r \leq x_i$.
Constraints
* $1 \leq N \leq 10^5$
* $1 \leq Q \leq 500$
* $1 \leq a_i \leq 10^9$
* $1 \leq x_i \leq 10^{14}$
Input
The input is given in the following format.
$N$ $Q$
$a_1$ $a_2$ ... $a_N$
$x_1$ $x_2$ ... $x_Q$
Output
For each query, print the number of combinations in a line.
Example
Input
6 5
1 2 3 4 5 6
6 9 12 21 15
Output
9
12
15
21
18
Submitted Solution:
```
def main():
n, q = map(int, input().split())
a, x = list(map(int, input().split())), list(map(int, input().split()))
for i in range(q):
com, right, s = 0, 0, 0
for left in range(n):
while right < n and s+a[right] <= x[i]:
s += a[right]
right += 1
com += right - left
if left == right:
right += 1
s -= a[left]
print(com)
if __name__ == '__main__':
main()
``` | instruction | 0 | 15,932 | 5 | 31,864 |
No | output | 1 | 15,932 | 5 | 31,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recurrence relation:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2 (i > 2).
We'll define a new number sequence Ai(k) by the formula:
Ai(k) = Fi × ik (i ≥ 1).
In this problem, your task is to calculate the following sum: A1(k) + A2(k) + ... + An(k). The answer can be very large, so print it modulo 1000000007 (109 + 7).
Input
The first line contains two space-separated integers n, k (1 ≤ n ≤ 1017; 1 ≤ k ≤ 40).
Output
Print a single integer — the sum of the first n elements of the sequence Ai(k) modulo 1000000007 (109 + 7).
Examples
Input
1 1
Output
1
Input
4 1
Output
34
Input
5 2
Output
316
Input
7 4
Output
73825
Submitted Solution:
```
from __future__ import print_function
import sys
def fibonacci(i):
if i == 1:
return 1
elif i == 2:
return 2
else:
return fibonacci(i-1) + fibonacci(i-2)
if __name__ == "__main__":
input = [int(x) for x in input().split()]
n = input[0]
k = input[1]
sum = 0
for i in range(1, (n + 1), 1):
Ai = fibonacci(i) * i**k
sum += Ai
print(sum)
sum = sum % 10**9
print(sum)
``` | instruction | 0 | 16,309 | 5 | 32,618 |
No | output | 1 | 16,309 | 5 | 32,619 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recurrence relation:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2 (i > 2).
We'll define a new number sequence Ai(k) by the formula:
Ai(k) = Fi × ik (i ≥ 1).
In this problem, your task is to calculate the following sum: A1(k) + A2(k) + ... + An(k). The answer can be very large, so print it modulo 1000000007 (109 + 7).
Input
The first line contains two space-separated integers n, k (1 ≤ n ≤ 1017; 1 ≤ k ≤ 40).
Output
Print a single integer — the sum of the first n elements of the sequence Ai(k) modulo 1000000007 (109 + 7).
Examples
Input
1 1
Output
1
Input
4 1
Output
34
Input
5 2
Output
316
Input
7 4
Output
73825
Submitted Solution:
```
n, k = [int(x) for x in input().split()]
def fib(n):
if n < 1: return
fp = 1; yield fp
if n == 1: return
f = 2; yield f
if n == 2: return
while n > 2:
f, fp = f + fp, f; yield f
n -= 1
f = fib(n); mod = 10**10; A = 0
if n > 40: n = 40
for i in range(1, n+1):
p = pow(i,k) % mod
A += (next(f)*p) % mod
print(A % 1000000007)
``` | instruction | 0 | 16,310 | 5 | 32,620 |
No | output | 1 | 16,310 | 5 | 32,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recurrence relation:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2 (i > 2).
We'll define a new number sequence Ai(k) by the formula:
Ai(k) = Fi × ik (i ≥ 1).
In this problem, your task is to calculate the following sum: A1(k) + A2(k) + ... + An(k). The answer can be very large, so print it modulo 1000000007 (109 + 7).
Input
The first line contains two space-separated integers n, k (1 ≤ n ≤ 1017; 1 ≤ k ≤ 40).
Output
Print a single integer — the sum of the first n elements of the sequence Ai(k) modulo 1000000007 (109 + 7).
Examples
Input
1 1
Output
1
Input
4 1
Output
34
Input
5 2
Output
316
Input
7 4
Output
73825
Submitted Solution:
```
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
#######################################
import math
maxa=pow(10,7)+1
ans=[0 for i in range(maxa)]
def sieve():
ans[1]=1
for i in range(2,maxa):
ans[i]=i
for i in range(4,maxa,2):
ans[i]=2
for i in range(3,int(math.sqrt(maxa))+1,2):
if(ans[i]==i):
for j in range(i*i,maxa,i):
if(ans[j]==j):
ans[j]=i
def add(x):
while(x!=1):
al[ans[x]]+=1
x=x//ans[x]
def sub(x):
while(x!=1):
al[ans[x]]-=1
x=x//ans[x]
from collections import *
al=defaultdict(int)
sieve()
n,m=map(int,input().split())
z=list(map(int,input().split()))
m=list(map(int,input().split()))
for i in range(len(z)):
add(z[i])
for i in range(len(m)):
sub(m[i])
ans=[]
tns=[]
for i in al:
if(al[i]>0):
for j in range(al[i]):
ans.append(i)
else:
if(al[i]<0):
for j in range(-al[i]):
tns.append(i)
if(len(ans)==0):
ans=[1]
if(len(tns)==0):
tns=[1]
print(len(ans),len(tns))
print(*ans)
print(*tns)
``` | instruction | 0 | 16,311 | 5 | 32,622 |
No | output | 1 | 16,311 | 5 | 32,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recurrence relation:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2 (i > 2).
We'll define a new number sequence Ai(k) by the formula:
Ai(k) = Fi × ik (i ≥ 1).
In this problem, your task is to calculate the following sum: A1(k) + A2(k) + ... + An(k). The answer can be very large, so print it modulo 1000000007 (109 + 7).
Input
The first line contains two space-separated integers n, k (1 ≤ n ≤ 1017; 1 ≤ k ≤ 40).
Output
Print a single integer — the sum of the first n elements of the sequence Ai(k) modulo 1000000007 (109 + 7).
Examples
Input
1 1
Output
1
Input
4 1
Output
34
Input
5 2
Output
316
Input
7 4
Output
73825
Submitted Solution:
```
inputlist = list(map(int, input().split(' ')))
n = inputlist[0]
k = inputlist[1]
module = 1000000007
bin = []
while k > 0:
bin.append(k % 2)
k //= 2
def power(x):
global bin, module
prod = x % module
ans = 1
for entry in bin:
if entry > 0:
ans = (ans * prod) % module
prod = (prod ** 2) % module
return ans
f = [1, 1]
if n > 2:
for i in range(2, n):
f.append((f[-1] + f[-2]) % module)
ans = 0
for i in range(n):
ans = (ans + f[i] * power(i + 1)) % module
print(ans)
``` | instruction | 0 | 16,312 | 5 | 32,624 |
No | output | 1 | 16,312 | 5 | 32,625 |
Provide a correct Python 3 solution for this coding contest problem.
Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions:
* a_{i,j} is an integer.
* 0 \leq a_{i,j} \lt 2^{64}.
* If S_{i} = 0, the bitwise AND of the elements in the i-th row is U_{i}.
* If S_{i} = 1, the bitwise OR of the elements in the i-th row is U_{i}.
* If T_{i} = 0, the bitwise AND of the elements in the i-th column is V_{i}.
* If T_{i} = 1, the bitwise OR of the elements in the i-th column is V_{i}.
However, there may be cases where no matrix satisfies the conditions.
Constraints
* All values in input are integers.
* 1 \leq N \leq 500
* 0 \leq S_{i} \leq 1
* 0 \leq T_{i} \leq 1
* 0 \leq U_{i} \lt 2^{64}
* 0 \leq V_{i} \lt 2^{64}
Input
Input is given from Standard Input in the following format:
N
S_{1} S_{2} ... S_{N}
T_{1} T_{2} ... T_{N}
U_{1} U_{2} ... U_{N}
V_{1} V_{2} ... V_{N}
Output
If there exists a matrix that satisfies the conditions, print one such matrix in the following format:
a_{1,1} ... a_{1,N}
:
a_{N,1} ... a_{N,N}
Note that any matrix satisfying the conditions is accepted.
If no matrix satisfies the conditions, print -1.
Examples
Input
2
0 1
1 0
1 1
1 0
Output
1 1
1 0
Input
2
1 1
1 0
15 15
15 11
Output
15 11
15 11 | instruction | 0 | 16,578 | 5 | 33,156 |
"Correct Solution:
```
def main():
import sys
sys.setrecursionlimit(10**9)
input = sys.stdin.readline
N = int(input())
S = list(map(int, input().split()))
T = list(map(int, input().split()))
U = list(map(int, input().split()))
V = list(map(int, input().split()))
range_N = range(N)
ans = [[0]*N for _ in range_N]
# 論理積
for i in range_N:
if S[i] == 0:
for j in range_N:
ans[i][j] = ans[i][j] | U[i]
if T[i] == 0:
for j in range_N:
ans[j][i] = ans[j][i] | V[i]
for i in range_N:
for j in range_N:
if (U[i] & V[j]):
ans[i][j] = ans[i][j] | (U[i] & V[j])
# 論理和
for x in range_N:
if S[x] == 0:
continue
x_sum = ans[x][0]
for y in range_N:
x_sum = x_sum | ans[x][y]
if x_sum == U[x]:
continue
up = U[x] - x_sum
for y in range_N:
if T[y]:
continue
y_mul = ans[0][y]
for i in range_N:
if i == x:
continue
y_mul = y_mul & ans[i][y]
up_y = (~y_mul) & up
ans[x][y] += up_y
up -= up_y
if up == 0:
break
for y in range_N:
if T[y] == 0:
continue
y_sum = ans[0][y]
for x in range_N:
y_sum = y_sum | ans[x][y]
if y_sum == V[y]:
continue
up = V[y] - y_sum
for x in range_N:
if S[x]:
continue
x_mul = ans[x][0]
for j in range_N:
if y == j:
continue
x_mul = x_mul & ans[x][j]
up_x = (~x_mul) & up
ans[x][y] += up_x
up -= up_x
if up == 0:
break
# チェック
for i in range_N:
check_xs = ans[i][0]
check_ys = ans[0][i]
check_xm = ans[i][0]
check_ym = ans[0][i]
for j in range_N:
check_xs = check_xs | ans[i][j]
check_ys = check_ys | ans[j][i]
check_xm = check_xm & ans[i][j]
check_ym = check_ym & ans[j][i]
if (S[i] and U[i] != check_xs) \
or (T[i] and V[i] != check_ys) \
or (S[i] == 0 and U[i] != check_xm) \
or (T[i] == 0 and V[i] != check_ym) :
print(-1)
return
for i in range_N:
print(*ans[i])
main()
``` | output | 1 | 16,578 | 5 | 33,157 |
Provide a correct Python 3 solution for this coding contest problem.
Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions:
* a_{i,j} is an integer.
* 0 \leq a_{i,j} \lt 2^{64}.
* If S_{i} = 0, the bitwise AND of the elements in the i-th row is U_{i}.
* If S_{i} = 1, the bitwise OR of the elements in the i-th row is U_{i}.
* If T_{i} = 0, the bitwise AND of the elements in the i-th column is V_{i}.
* If T_{i} = 1, the bitwise OR of the elements in the i-th column is V_{i}.
However, there may be cases where no matrix satisfies the conditions.
Constraints
* All values in input are integers.
* 1 \leq N \leq 500
* 0 \leq S_{i} \leq 1
* 0 \leq T_{i} \leq 1
* 0 \leq U_{i} \lt 2^{64}
* 0 \leq V_{i} \lt 2^{64}
Input
Input is given from Standard Input in the following format:
N
S_{1} S_{2} ... S_{N}
T_{1} T_{2} ... T_{N}
U_{1} U_{2} ... U_{N}
V_{1} V_{2} ... V_{N}
Output
If there exists a matrix that satisfies the conditions, print one such matrix in the following format:
a_{1,1} ... a_{1,N}
:
a_{N,1} ... a_{N,N}
Note that any matrix satisfying the conditions is accepted.
If no matrix satisfies the conditions, print -1.
Examples
Input
2
0 1
1 0
1 1
1 0
Output
1 1
1 0
Input
2
1 1
1 0
15 15
15 11
Output
15 11
15 11 | instruction | 0 | 16,579 | 5 | 33,158 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
N=int(input())
S=tuple(map(int,input().split()))
T=tuple(map(int,input().split()))
U=tuple(map(int,input().split()))
V=tuple(map(int,input().split()))
ANS=[[[-1]*N for i in range(N)] for b in range(64)]
for b in range(64):
for i in range(N):
if S[i]==0 and (1<<b) & U[i]!=0:
for j in range(N):
if ANS[b][i][j]==0:
print(-1)
sys.exit()
ANS[b][i][j]=1
if S[i]==1 and (1<<b) & U[i]==0:
for j in range(N):
if ANS[b][i][j]==1:
print(-1)
sys.exit()
ANS[b][i][j]=0
if T[i]==0 and (1<<b) & V[i]!=0:
for j in range(N):
if ANS[b][j][i]==0:
print(-1)
sys.exit()
ANS[b][j][i]=1
if T[i]==1 and (1<<b) & V[i]==0:
for j in range(N):
if ANS[b][j][i]==1:
print(-1)
sys.exit()
ANS[b][j][i]=0
for rep in range(2):
for b in range(64):
for i in range(N):
if S[i]==0 and (1<<b)& U[i]==0:
count_mi1=0
okflag=0
for j in range(N):
if ANS[b][i][j]==0:
okflag=1
break
if ANS[b][i][j]==-1:
count_mi1+=1
if count_mi1>=2:
break
if okflag==0 and count_mi1==0:
print(-1)
sys.exit()
if okflag==0 and count_mi1==1:
for j in range(N):
if ANS[b][i][j]==-1:
ANS[b][i][j]=0
break
if S[i]==1 and (1<<b) & U[i]!=0:
count_mi1=0
okflag=0
for j in range(N):
if ANS[b][i][j]==1:
okflag=1
break
if ANS[b][i][j]==-1:
count_mi1+=1
if count_mi1>=2:
break
if okflag==0 and count_mi1==0:
print(-1)
sys.exit()
if okflag==0 and count_mi1==1:
for j in range(N):
if ANS[b][i][j]==-1:
ANS[b][i][j]=1
break
if T[i]==0 and (1<<b)& V[i]==0:
count_mi1=0
okflag=0
for j in range(N):
if ANS[b][j][i]==0:
okflag=1
break
if ANS[b][j][i]==-1:
count_mi1+=1
if count_mi1>=2:
break
if okflag==0 and count_mi1==0:
print(-1)
sys.exit()
if okflag==0 and count_mi1==1:
for j in range(N):
if ANS[b][j][i]==-1:
ANS[b][j][i]=0
break
if T[i]==1 and (1<<b) & V[i]!=0:
count_mi1=0
okflag=0
for j in range(N):
if ANS[b][j][i]==1:
okflag=1
break
if ANS[b][j][i]==-1:
count_mi1+=1
if count_mi1>=2:
break
if okflag==0 and count_mi1==0:
print(-1)
sys.exit()
if okflag==0 and count_mi1==1:
for j in range(N):
if ANS[b][j][i]==-1:
ANS[b][j][i]=1
break
for i in range(N):
for j in range(N):
S=[]
for b in range(63,-1,-1):
if ANS[b][i][j]==-1:
S.append((i+j)%2)
else:
S.append(ANS[b][i][j])
print(int("".join(map(str,S)),2),end=" ")
print()
``` | output | 1 | 16,579 | 5 | 33,159 |
Provide a correct Python 3 solution for this coding contest problem.
Given are an integer N and arrays S, T, U, and V, each of length N. Construct an N×N matrix a that satisfy the following conditions:
* a_{i,j} is an integer.
* 0 \leq a_{i,j} \lt 2^{64}.
* If S_{i} = 0, the bitwise AND of the elements in the i-th row is U_{i}.
* If S_{i} = 1, the bitwise OR of the elements in the i-th row is U_{i}.
* If T_{i} = 0, the bitwise AND of the elements in the i-th column is V_{i}.
* If T_{i} = 1, the bitwise OR of the elements in the i-th column is V_{i}.
However, there may be cases where no matrix satisfies the conditions.
Constraints
* All values in input are integers.
* 1 \leq N \leq 500
* 0 \leq S_{i} \leq 1
* 0 \leq T_{i} \leq 1
* 0 \leq U_{i} \lt 2^{64}
* 0 \leq V_{i} \lt 2^{64}
Input
Input is given from Standard Input in the following format:
N
S_{1} S_{2} ... S_{N}
T_{1} T_{2} ... T_{N}
U_{1} U_{2} ... U_{N}
V_{1} V_{2} ... V_{N}
Output
If there exists a matrix that satisfies the conditions, print one such matrix in the following format:
a_{1,1} ... a_{1,N}
:
a_{N,1} ... a_{N,N}
Note that any matrix satisfying the conditions is accepted.
If no matrix satisfies the conditions, print -1.
Examples
Input
2
0 1
1 0
1 1
1 0
Output
1 1
1 0
Input
2
1 1
1 0
15 15
15 11
Output
15 11
15 11 | instruction | 0 | 16,580 | 5 | 33,160 |
"Correct Solution:
```
import sys
sr = lambda: sys.stdin.readline().rstrip()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))
def resolve():
N = ir()
S = lr()
T = lr()
U = lr()
V = lr()
# d = [[-1]*N for i in range(N)]
# def flip():
# for i in range(N):
# for j in range(i):
# d[i][j], d[j][i] = d[j][i], d[i][j]
a = [[0]*N for i in range(N)]
for k in range(64):
val = [[bool(U[i]&(1<<k)), bool(V[i]&(1<<k))] for i in range(N)]
d = [[-1]*N for i in range(N)]
# for b in range(2):
for i in range(N):
x = val[i][0]
if S[i] != x:
for j in range(N):
if d[i][j] != x and d[i][j] != -1:
print(-1)
return
d[i][j] = x
for j in range(N):
x = val[j][1]
if T[j] != x:
for i in range(N):
if d[i][j] != x and d[i][j] != -1:
print(-1)
return
d[i][j] = x
# flip()
for _ in range(2):
# for b in range(2):
for i in range(N):
x = val[i][0]
if S[i] == x:
p = []
ok = False
for j in range(N):
if d[i][j] == -1:
p.append(j)
if d[i][j] == x:
ok = True
if ok:
continue
if len(p) == 0:
print(-1)
return
if len(p) == 1:
d[i][p[0]] = x
for j in range(N):
x = val[j][1]
if T[j] == x:
p = []
ok = False
for i in range(N):
if d[i][j] == -1:
p.append(i)
if d[i][j] == x:
ok = True
if ok:
continue
if len(p) == 0:
print(-1)
return
if len(p) == 1:
d[p[0]][j] = x
# flip()
ni = []
nj = []
for i in range(N):
filled = True
for j in range(N):
if d[i][j] == -1:
filled = False
break
if not filled:
ni.append(i)
for j in range(N):
filled = True
for i in range(N):
if d[i][j] == -1:
filled = False
break
if not filled:
nj.append(j)
for i, ii in enumerate(ni):
for j, jj in enumerate(nj):
d[ii][jj] = (i+j)%2
for i in range(N):
for j in range(N):
a[i][j] |= d[i][j]<<k
for i in range(N):
print(*a[i], sep=' ')
resolve()
``` | output | 1 | 16,580 | 5 | 33,161 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.