text stringlengths 198 433k | conversation_id int64 0 109k |
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Snuke came up with a game that uses a number sequence, as follows:
* Prepare a sequence of length M consisting of integers between 0 and 2^N-1 (inclusive): a = a_1, a_2, \ldots, a_M.
* Snuke first does the operation below as many times as he likes:
* Choose a positive integer d, and for each i (1 \leq i \leq M), in binary, set the d-th least significant bit of a_i to 0. (Here the least significant bit is considered the 1-st least significant bit.)
* After Snuke finishes doing operations, Takahashi tries to sort a in ascending order by doing the operation below some number of times. Here a is said to be in ascending order when a_i \leq a_{i + 1} for all i (1 \leq i \leq M - 1).
* Choose two adjacent elements of a: a_i and a_{i + 1}. If, in binary, these numbers differ in exactly one bit, swap a_i and a_{i + 1}.
There are 2^{NM} different sequences of length M consisting of integers between 0 and 2^N-1 that can be used in the game.
How many among them have the following property: if used in the game, there is always a way for Takahashi to sort the sequence in ascending order regardless of Snuke's operations? Find the count modulo (10^9 + 7).
Constraints
* All values in input are integers.
* 1 \leq N \leq 5000
* 2 \leq M \leq 5000
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number, modulo (10^9 + 7), of sequences with the property: if used in the game, there is always a way for Takahashi to sort the sequence in ascending order regardless of Snuke's operations.
Examples
Input
2 5
Output
352
Input
2020 530
Output
823277409
Submitted Solution:
```
import itertools
N = int(input())
A = [int(_) for _ in input().split()]
if A[0] != 0:
if N == 0 and A[0] == 1:
print(1)
else:
print(-1)
exit()
ans = 1
n = 1
if A[0] > 1:
print(-1)
exit()
cumr = list(itertools.accumulate(A[::-1]))[::-1]
for i in range(1, N + 1):
n = min(2 * (n - A[i - 1]), cumr[i])
ans += n
if n < 0:
print(-1)
exit()
print(ans)
```
No
| 7,300 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Snuke came up with a game that uses a number sequence, as follows:
* Prepare a sequence of length M consisting of integers between 0 and 2^N-1 (inclusive): a = a_1, a_2, \ldots, a_M.
* Snuke first does the operation below as many times as he likes:
* Choose a positive integer d, and for each i (1 \leq i \leq M), in binary, set the d-th least significant bit of a_i to 0. (Here the least significant bit is considered the 1-st least significant bit.)
* After Snuke finishes doing operations, Takahashi tries to sort a in ascending order by doing the operation below some number of times. Here a is said to be in ascending order when a_i \leq a_{i + 1} for all i (1 \leq i \leq M - 1).
* Choose two adjacent elements of a: a_i and a_{i + 1}. If, in binary, these numbers differ in exactly one bit, swap a_i and a_{i + 1}.
There are 2^{NM} different sequences of length M consisting of integers between 0 and 2^N-1 that can be used in the game.
How many among them have the following property: if used in the game, there is always a way for Takahashi to sort the sequence in ascending order regardless of Snuke's operations? Find the count modulo (10^9 + 7).
Constraints
* All values in input are integers.
* 1 \leq N \leq 5000
* 2 \leq M \leq 5000
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number, modulo (10^9 + 7), of sequences with the property: if used in the game, there is always a way for Takahashi to sort the sequence in ascending order regardless of Snuke's operations.
Examples
Input
2 5
Output
352
Input
2020 530
Output
823277409
Submitted Solution:
```
#!/usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
from bisect import bisect_left, bisect_right
import sys, random, itertools, math
sys.setrecursionlimit(10**5)
input = sys.stdin.readline
sqrt = math.sqrt
def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def LI_(): return list(map(lambda x: int(x)-1, input().split()))
def II(): return int(input())
def IF(): return float(input())
def S(): return input().rstrip()
def LS(): return S().split()
def IR(n): return [II() for _ in range(n)]
def LIR(n): return [LI() for _ in range(n)]
def FR(n): return [IF() for _ in range(n)]
def LFR(n): return [LI() for _ in range(n)]
def LIR_(n): return [LI_() for _ in range(n)]
def SR(n): return [S() for _ in range(n)]
def LSR(n): return [LS() for _ in range(n)]
mod = 1000000007
inf = float('INF')
fact = [i for i in range(10**5+1)]
fact[0] = 1
for i in range(10**5):
fact[i+1]*=fact[i]
fact[i+1]%=mod
invfact=[None]*(10**5+1)
invfact[-1]=pow(fact[-1],mod-2,mod)
for i in range(10**5):
invfact[-i-2]=(invfact[-i-1]*(10**5-i))%mod
def cmb(n,k):
return fact[n]*invfact[k]*invfact[n-k]%mod
#solve
def solve():
n, m = LI()
dp = [[0, 0] for i in range(n + 1)]
dp[0][0] = 1
dp[1][0] = n
dp[1][1] = n
for i in range(1,n):
dp[i + 1][0] = cmb(n,i)
dp[i + 1][1] = cmb(n,i)*(i+1)%mod
ans = pow(2, m, mod)
tmp = 0
for d1, d2 in dp:
tmp += d1 + d2
tmp %= mod
print(ans * tmp % mod)
return
#main
if __name__ == '__main__':
solve()
```
No
| 7,301 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
n,k,s = map(int, input().split())
if s < 10**9:
ans = [s+1] * n
else:
ans = [1]*n
ans[:k] = [s]*k
print(" ".join(map(str,ans)))
```
| 7,302 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
n, k, s= map(int,input().split())
if s == 10**9:
ans = [s]*k+[1]*(n-k)
else:
ans = [s]*k+[s+1]*(n-k)
print(*ans)
```
| 7,303 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
N,K,S=list(map(int, input().split()))
L=[0]*N
L[:K]=[S]*K
if S==10**9:
L[K:]=[1]*(N-K)
else:
L[K:]=[10**9]*(N-K)
print(*L)
```
| 7,304 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
N, K, S = map(int, open(0).read().split())
fill = 10 ** 9 - 1 if S == 10 ** 9 else 10 ** 9
ans = [S] * K + [fill] * (N - K)
print(*ans)
```
| 7,305 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
n, k, s = map(int, input().split())
a = [s] * k
b = [pow(10, 9) if not s == pow(10, 9) else 1] * (n - k)
print(" ".join(map(str, a + b)))
```
| 7,306 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
n, k, s = map(int, input().split())
if s == 10**9:
ans = [10**9]*k+[1]*(n-k)
else:
ans = [s]*k+[s+1]*(n-k)
print(*ans)
```
| 7,307 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
n,k,s=map(int,input().split())
a=[]
for i in range(k):
a.append(s)
for j in range(n-k):
a.append(s+1 if s==1 else s-1)
print(*a)
```
| 7,308 |
Provide a correct Python 3 solution for this coding contest problem.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
"Correct Solution:
```
N,K,S = map(int,input().split())
w = 10**9
if S==w: w = 1
ans = [S]*K + [w]*(N-K)
print(*ans)
```
| 7,309 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
# C - Subarray Sum
n,k,s=map(int,input().split())
a=[]
a+=[s]*k
if s!=10**9:
a+=[s+1]*(n-k)
else:
a+=[1]*(n-k)
print(*a)
```
Yes
| 7,310 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
N,K,S=map(int, input().split())
ans=[S]*K
if S!=10**9:
add=10**9
else:
add=10**9-1
ans=ans+[add]*(N-K)
print(*ans)
```
Yes
| 7,311 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
N, K, S = map(int,input().split())
if S > N:
A = [S] * K + [1] * (N - K)
else:
A = [S] * K + [S + 1] * (N - K)
print(*A)
```
Yes
| 7,312 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
N,K,S=map(int,input().split())
ans=[S]*K
if N-K>=S:
ans.extend([S+1]*(N-K))
else:
ans.extend([1]*(N-K))
print(*ans)
```
Yes
| 7,313 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
#!/usr/bin/env python3
import sys
def solve(N: int, K: int, S: int):
if N==K:
print(' '.join([str(S) for _ in range(K)]))
else:
a = ' '.join([str(S) for _ in range(K)])
b = ' '.join([str(10**10) for _ in range(N-K-1)])
c = str(10**10)
print(a + ' ' + b + ' ' + c)
return
# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools (tips: You use the default template now. You can remove this line by using your custom template)
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
N = int(next(tokens)) # type: int
K = int(next(tokens)) # type: int
S = int(next(tokens)) # type: int
solve(N, K, S)
if __name__ == '__main__':
main()
```
No
| 7,314 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
def main():
N, K, S = map(int, input().split())
MaxN = 10 ** 9
if S == MaxN:
A = [1] * N
elif K == N:
A = [S] * N
else:
A = [MaxN] * N
if K != 0 and K != N:
for i in range(K + 1):
if S % 2 == 0:
A[i] = S // 2
else:
if i % 2 == 0:
A[i] = S // 2 + 1
else:
A[i] = S // 2
print(" ".join(map(str, A)))
if __name__ == "__main__":
main()
```
No
| 7,315 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
#template
from collections import Counter
def inputlist(): return [int(i) for i in input().split()]
#template
N,K,S = inputlist()
if N == 1 and K == 0 and S == 1:
print(2)
exit()
ans = []
for i in range(K):
ans.append(S)
for i in range(N-K):
ans.append(S-1)
print(*ans)
```
No
| 7,316 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are three integers N, K, and S.
Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.
* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K S
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Output
Print a sequence satisfying the condition, in the following format:
A_1 A_2 ... A_N
Examples
Input
4 2 3
Output
1 2 3 4
Input
5 3 100
Output
50 50 50 30 70
Submitted Solution:
```
import sys
input = sys.stdin.readline
ri = lambda: int(input())
rs = lambda: input().rstrip()
ril = lambda: list(map(int, input().split()))
rsl = lambda: input().rstrip().split()
ris = lambda n: [ri() for _ in range(n)]
rss = lambda n: [rs() for _ in range(n)]
rils = lambda n: [ril() for _ in range(n)]
rsls = lambda n: [rsl() for _ in range(n)]
n, k, s = ril()
res = [s] * k
if n - k == s:
res.extend([2] * (n - k))
else:
res.extend([1] * (n - k))
print(res)
```
No
| 7,317 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
a=int(input())
b=input()
if a<3200:
print("red")
else:
print(b)
```
| 7,318 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
f=input;print('red' if int(f())<3200 else f())
```
| 7,319 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
A = int(input())
S = input()
ans = S if A >= 3200 else 'red'
print(ans)
```
| 7,320 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
a = int(input())
s = input()
if a < 3200:
s = 'red'
print(s)
```
| 7,321 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
a,s=open(0);print(s*(a>'32')or'red')
```
| 7,322 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
a=int(input())
s=str(input())
if a<3200:
print('red')
else:
print(s)
```
| 7,323 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
a = int(input())
s = input()
print("red" if a<3200 else s)
```
| 7,324 |
Provide a correct Python 3 solution for this coding contest problem.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
"Correct Solution:
```
a = int(input())
print("red" if a < 3200 else input())
```
| 7,325 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
n=int(input()); k=input(); print(k) if n>=3200 else print('red')
```
Yes
| 7,326 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
n = int(input())
m = input()
print(m if n >= 3200 else "red")
```
Yes
| 7,327 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
if (int(input()) < 3200):
print('red')
else:
print(input())
```
Yes
| 7,328 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
a = int(input())
print(input() if a >= 3200 else "red")
```
Yes
| 7,329 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
import sys
from collections import defaultdict
readline = sys.stdin.buffer.readline
#sys.setrecursionlimit(10**8)
def geta(fn=lambda s: s.decode()):
return map(fn, readline().split())
def gete(fn=lambda s: s.decode()):
return fn(readline().rstrip())
def main():
a = gete(int)
s = gete()
if s < 3200:
print(a)
else:
print('red')
if __name__ == "__main__":
main()
```
No
| 7,330 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
import sys
a = input()[0]
s = input()[1]
if a < 3200:
print("red")
else:
print(s)
```
No
| 7,331 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
if int(input) >= 3200:
print(input())
else:
print("red")
exit()
```
No
| 7,332 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given an integer a and a string s consisting of lowercase English letters as input.
Write a program that prints s if a is not less than 3200 and prints `red` if a is less than 3200.
Constraints
* 2800 \leq a < 5000
* s is a string of length between 1 and 10 (inclusive).
* Each character of s is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
a
s
Output
If a is not less than 3200, print s; if a is less than 3200, print `red`.
Examples
Input
3200
pink
Output
pink
Input
3199
pink
Output
red
Input
4049
red
Output
red
Submitted Solution:
```
data = [input() for i in range(2)]
if data[0]>=3200:
print(data[1])
else:
print("red")
```
No
| 7,333 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
n = int(input())
s = input()
w = [0]
cnt = 0
for i in range(n):
if s[i] == '#':
cnt += 1
w.append(cnt)
ans = len(s)
for i in range(n+1):
ans = min(ans, w[i]+(n-i-(w[-1]-w[i])))
print(ans)
```
| 7,334 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
n = int(input())
s = input()
best_cost = s.count('.')
cost = best_cost
for i in range(n):
if s[i] == '#':
cost += 1
else:
cost -= 1
if cost < best_cost:
best_cost = cost
print(best_cost)
```
| 7,335 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
N = int(input())
S = str(input())
x = S.count(".")
ans = x
for i in range(N):
if S[i]=="#":
x += 1
else:
x -= 1
ans = (min(ans,x))
print(ans)
```
| 7,336 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
N = int(input())
S = input()
w_N = S.count(".")
ans = w_N
b = 0
w = 0
for i, s in enumerate(S):
if s == "#":
b += 1
if s == ".":
w += 1
ans = min(ans,b + w_N - w)
print(ans)
```
| 7,337 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
N = int(input())
S = input()
lb = 0
rw = S.count('.')
ans = rw
for s in S:
if s == '.':
rw -= 1
else:
lb += 1
ans = min(ans, lb + rw)
print(ans)
```
| 7,338 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
n = int(input())
s = input()
cost = 0
bc = 0
for it in s:
if it =="#":
bc += 1
elif bc > 0:
cost += 1
bc -= 1
print(cost)
```
| 7,339 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
n = int(input())
s = input()
ans = [s.count(".")]
test = s.count(".")
for i in s:
if i == ".":
test -= 1
else:
test += 1
ans.append(test)
print(min(ans))
```
| 7,340 |
Provide a correct Python 3 solution for this coding contest problem.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
"Correct Solution:
```
n=int(input())
s=input()
l=0
r=s.count('.')
m=r
for i in range(n):
if s[i]=='.':
r-=1
else:
l+=1
m=min(m,r+l)
print(m)
```
| 7,341 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
n = int(input())
s = list(input())
b, w = 0, 0
for x in s:
if x == '#': b += 1
elif b > 0: # 黒の右に白があるので, 黒を白に置換
w += 1
b -= 1
print(w)
```
Yes
| 7,342 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
n=int(input())
s=input()
w=s.count(".")
b=0
ans=10**9
for i in range(n):
if w+b<ans: ans=w+b
if s[i]==".": w-=1
else: b+=1
if w+b<ans: ans=w+b
print(ans)
```
Yes
| 7,343 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
s=input()=='';b=[0]
for i in input():t=i=='.';b+=[b[-1]+1-t*2];s+=t
print(min([i+s for i in b]))
```
Yes
| 7,344 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
N = int(input())
S = input()
tmp = S.count('.')
ans = tmp
for i in range(N):
if S[i] == '.':
tmp -= 1
else:
tmp += 1
ans = min(ans, tmp)
print(ans)
```
Yes
| 7,345 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
# -*- coding: utf-8 -*-
"""
@author: H_Hoshigi
"""
def main():
N = int(input())
S = input()
hash_r = 0
while S[hash_r] != "#" and hash_r <= N-2:
hash_r += 1
dot_l = len(S)-1
while S[dot_l] != "." and dot_l >= 1:
dot_l -= 1
print(
min(
S[hash_r+1:].count("."),
S[:dot_l].count("#")
)
)
if __name__ == "__main__":
main()
```
No
| 7,346 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
n = int(input())
s = list(input())
count = [0] * n
if s.count(".") != n and s.count("#") != n:
count[0] = s[0:1].count("#") + s[1:n].count(".")
for i in range(1,n):
if s[i] == "#":
count[i] = count[i-1] + 1
else:
count[i] = count[i-1] - 1
print(min(count))
```
No
| 7,347 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
n = int(input())
s = input()
ans = 0
c = 0
for i in range(n):
if s[i] == "#":
c = 1
break
if c == 0:
print(0)
else:
for i in range(n):
if s[i] == "#":
for j in range(n-i-1):
if s[i+1+j] == ".":
ans += 1
print(ans)
break
```
No
| 7,348 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N stones arranged in a row. Every stone is painted white or black. A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is `.`, and the stone is black if the character is `#`.
Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone. Find the minimum number of stones that needs to be recolored.
Constraints
* 1 \leq N \leq 2\times 10^5
* S is a string of length N consisting of `.` and `#`.
Input
Input is given from Standard Input in the following format:
N
S
Output
Print the minimum number of stones that needs to be recolored.
Examples
Input
3
#.#
Output
1
Input
3
.#
Output
1
Input
5
.##.
Output
2
Input
9
.........
Output
0
Submitted Solution:
```
def main():
N = int(input())
S = input()
nums = []
for b in range(N+1):
nums.append(num_change(S, b, N))
print(min(nums))
def num_change(S, border, N):
count = 0
for i in range(N):
if i < border:
if S[i] == '#':
count += 1
else:
if S[i] == '.':
count += 1
return count
if __name__ == '__main__':
main()
```
No
| 7,349 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
n = int(input())
def dfs(s):
if int(s) > n:
return 0
if all(s.count(c)>0 for c in '753'):
t = 1
else:
t = 0
for c in '753':
t += dfs(s+c)
return t
print(dfs('0'))
```
| 7,350 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
import itertools as t
N=int(input())
a,X=0,[]
for j in range(len(str(N))+1):X+=list(t.product((3,5,7),repeat=j))
for i in X:
s=''
for j in i:s+=str(j)
if len(set(i))==3and int(s)<=N:a+=1
print(a)
```
| 7,351 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
def dfs(n,lst,s):
if int(s) >n:
return
if all([c in s for c in "753"]):
lst.append(s)
for c in "753":
dfs(n,lst,s+c)
lst=[]
n =int(input())
for c in "753":
dfs(n,lst,c)
print(len(lst))
```
| 7,352 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
x = int(input())
def sft(s):
if int(s) > x:
return 0
if all(s.count(c) > 0 for c in '753'):
ret = 1
else:
ret = 0
for c in '753':
ret += sft(s + c)
return ret
print(sft('0'))
```
| 7,353 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
def dfs(s):
if int(s) > N:
return 0
res = 1 if all(s.count(c) > 0 for c in '753') else 0
for c in '753':
res += dfs(s + c)
return res
N = int(input())
print(dfs('0'))
```
| 7,354 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
N = int(input())
def func(s):
if int(s)>N:
return 0
ret = 1 if all(s.count(c)>0 for c in '753') else 0
for c in '753':
ret += func(s+c)
return ret
print(func('0'))
```
| 7,355 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
n = int(input())
def nngg(m):
if int(m) > n:
return 0
ret = 1 if all(m.count(s)>0 for s in '375') else 0
for s in '357':
ret += nngg(m+s)
return ret
print(nngg('0'))
```
| 7,356 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
"Correct Solution:
```
def dfs(s, t):
if int(s) > t:
return 0
ret = 1 if all(s.count(c) > 0 for c in '753') else 0
for c in '753':
ret += dfs(s+c, t)
return ret
n = int(input())
print(dfs('0', n))
```
| 7,357 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
from itertools import product
n = int(input())
ans = 0
S = []
for i in range(10):
S += list(product("357",repeat=i))
for s in S:
if len(set(s)) > 2 and int("".join(s)) <= n:
ans += 1
print(ans)
```
Yes
| 7,358 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
N = int(input())
def dfs(s):
if int(s)>N:
return 0;
ret = 1 if all(s.count(c) > 0 for c in "753") else 0
for c in "753":
ret += dfs(s+c)
return ret
print(dfs("0"))
```
Yes
| 7,359 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
# 写経
n=int(input())
def dfs(s):
if int(s)>n:return 0
ret=1 if all(s.count(c)>0 for c in '753') else 0
for c in '753':
ret+=dfs(s+c)
return ret
print(dfs('0'))
```
Yes
| 7,360 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
n=int(input())
def dfs(s):
if int(s)>n:
return 0
if all(s.count(i)>0 for i in '753'):
ans=1
else:
ans=0
for i in '753':
ans+=dfs(s+i)
return ans
print(dfs('0'))
```
Yes
| 7,361 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
N = int(input())
def dfs(s):
print(s)
if int(s) > N:
return 0
ret = 1 if all(s.count(c) > 0 for c in '753') else 0
for c in '753':
ret += dfs(s + c)
return ret
print(dfs('0'))
```
No
| 7,362 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
def shichigo(s):
if '3' not in s:
return False
if '5' not in s:
return False
if '7' not in s:
return False
x = s.replace('3','').replace('5','').replace('7','')
if x=='':
return True
return False
n = input()
# k = 桁数-1
k = len(n)-1
# k桁までの753数
ans = 0
for i in range(1,k+1):
ans += 3**i - 3*2**i + 3
# nの桁の753数/3
a = 3**k - 2**(k+1) + 1
f = int(n[0])
if f<3:
print(ans)
exit()
elif f==3:
for i in range(3*10**k,int(n)+1):
if shichigo(str(i)):
ans += 1
elif f<5:
ans += a
elif f ==5:
ans += a
for i in range(5*10**k,int(n)+1):
if shichigo(str(i)):
ans += 1
elif f<7:
ans += 2*a
elif f==7:
ans += 2*a
for i in range(7*10**k,int(n)+1):
if shichigo(str(i)):
ans += 1
else:
ans += 3*a
print(ans)
```
No
| 7,363 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
num753 = []
num753.append([0,0,0,0,0,0,0]) #3,5,7,35,37,57,357
num753.append([1,1,1,0,0,0,0])
for i in range(1,10):
num753.append([num753[i][0],num753[i][1],num753[i][2],num753[i][0]+num753[i][1]+num753[i][3]*2,num753[i][0]+num753[i][2]+num753[i][4]*2,num753[i][1]+num753[i][2]+num753[i][5]*2,num753[i][3]+num753[i][4]+num753[i][5]+num753[i][6]*3])
N = input()
ans = 0
for i in range(len(N)):
ans += num753[i][6]
check3 = False
check5 = False
check7 = False
for i in range(len(N)):
if int(N[i])<3:
break
if int(N[i])==3:
if i==len(N)-1:
if check5 and check7:
ans += 1
check3 = True
continue
ans += num753[len(N)-i-1][5]+num753[len(N)-i-1][6]
if check5:
ans += num753[len(N)-i-1][2]+num753[len(N)-i-1][4]
if check7:
ans += num753[len(N)-i-1][1]+num753[len(N)-i-1][3]
if check5 and check7:
ans += num753[len(N)-i-1][0]
if int(N[i])<5:
break
if int(N[i])==5:
if i==len(N)-1:
if check5 and check7:
ans += 1
if check3 and check7:
ans += 1
check5 = True
continue
ans += num753[len(N)-i-1][4]+num753[len(N)-i-1][6]
if check3:
ans += num753[len(N)-i-1][2]+num753[len(N)-i-1][5]
if check7:
ans += num753[len(N)-i-1][0]+num753[len(N)-i-1][3]
if check3 and check7:
ans += num753[len(N)-i-1][1]
if int(N[i])<7:
break
if int(N[i])==7:
check7 = True
if i==len(N)-1:
if check5 and check7:
ans += 1
if check3 and check7:
ans += 1
if check3 and check5:
ans += 1
continue
ans += num753[len(N)-i-1][3]+num753[len(N)-i-1][6]
if check3:
ans += num753[len(N)-i-1][1]+num753[len(N)-i-1][5]
if check5:
ans += num753[len(N)-i-1][0]+num753[len(N)-i-1][4]
if check3 and check5:
ans += num753[len(N)-i-1][2]
break
print(ans)
```
No
| 7,364 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
Submitted Solution:
```
def cnct(lint,lim):
global list753
global list357
global list333
lint1=str(lint)+"3"
lint1int=int(lint1)
if lint1int<lim and not lint1int in list357:
list357.add(lint1int)
cnct(lint1int,lim)
lint2=str(lint)+"5"
lint2int=int(lint2)
if lint2int<lim and not lint2int in list357:
list357.add(lint2int)
cnct(lint2int,lim)
lint3=str(lint)+"7"
lint3int=int(lint3)
if lint3int<lim and not lint3int in list357:
list357.add(lint3int)
cnct(lint3int,lim)
lint4="3"+str(lint)
lint4int=int(lint4)
if lint4int<lim and not lint4int in list357:
list357.add(lint4int)
cnct(lint4int,lim)
lint5="5"+str(lint)
lint5int=int(lint5)
if lint5int<lim and not lint5int in list357:
list357.add(lint5int)
cnct(lint5int,lim)
lint6="7"+str(lint)
lint6int=int(lint6)
if lint6int<lim and not lint6int in list357:
list357.add(lint6int)
cnct(lint6int,lim)
def D(lint):
lista=list(str(lint))
if lista.count("3") and lista.count("5") and lista.count("7"):
return True
else:
return False
list753=[3,5,7]
list357=set()
k=int(input())
count=0
for b in list753:
cnct(b,k)
list333=list(list357)
list333.sort()
for c in [x for x in list333]:
if not D(c):
list333.remove(c)
print(len(list333))
```
No
| 7,365 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
h, w = [int(i) for i in input().split()]
s = [list(input()) for _ in range(h)]
flg = True
for i in range(1, h-1):
for j in range(1, w-1):
if s[i][j] == "#" and s[i-1][j]==s[i+1][j]==s[i][j-1]==s[i][j+1]==".":
flg = False
print('Yes' if flg else 'No')
```
| 7,366 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
H, W = map(int, input().split())
cam = [input() for i in range(H)]
ans = 'Yes'
for i in range(1, H-1):
for j in range(1, W-1):
if cam[i][j] == "#":
if cam[i-1][j] == cam[i+1][j] == cam[i][j-1] == cam[i][j+1] == ".":
ans = 'No'
break
print(ans)
```
| 7,367 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
h, w = map(int, input().split())
s = [list(input()) for i in range(h)]
for i in range(h - 1):
for j in range(w - 1):
if s[i][j] == "#" and s[i - 1][j] != "#" and s[i][j - 1] != "#" and s[i + 1][j] != "#" and s[i][j + 1] != "#":
print("No")
exit()
print("Yes")
```
| 7,368 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
#!/usr/bin/env python3
h, w = map(int, input().split())
b = ".";j = [b+b*w+b]
s = j + [b+input()+b for _ in [0]*h] + j
for i in range(1, h+1):
d = [n+1 for n in range(w) if s[i][n:n+3] == ".#."]
if d and any([s[i-1][c] == s[i+1][c] == b for c in d]):
print("No");exit()
print("Yes")
```
| 7,369 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
H,W=map(int,input().split())
Map=[]
for i in range(H):
Map.append(input())
for i in range(H):
for j in range(W):
if Map[i][j]=='#':
if i-1>=0 and i+1<H and j-1>=0 and j+1<W:
if Map[i-1][j]!='#' and Map[i+1][j]!='#' and Map[i][j-1]!='#' and Map[i][j+1]!='#':
print('No')
exit()
print('Yes')
```
| 7,370 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
h,w = map(int, input().split())
original = [list(input()) for _ in range(h)]
for i in range(h-1):
for j in range(w-1):
if original[i][j]=='#' and original[i-1][j]!='#' and original[i+1][j]!='#' and original[i][j-1]!='#' and original[i][j+1]!='#':
print('No')
exit()
print('Yes')
```
| 7,371 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
h,w=map(int,input().split())
S=[]
for i in range(h):
S.append(input())
ans='Yes'
for i in range(1,h-1):
for j in range(1,w-1):
if S[i][j]=='#' and S[i+1][j]=='.' and S[i-1][j]=='.' and S[i][j+1]=='.' and S[i][j-1]=='.':
ans='No'
print(ans)
```
| 7,372 |
Provide a correct Python 3 solution for this coding contest problem.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
"Correct Solution:
```
H, W = map(int, input().split())
s_list = [input() for i in range(H)]
flag = True
for i in range(1, H - 1):
for j in range(1, W - 1):
if s_list[i][j] == "#":
if s_list[i-1][j] == "." and s_list[i+1][j] == "." and s_list[i][j-1] == "." and s_list[i][j+1] == ".":
flag = False
break
if flag:
print("Yes")
else:
print("No")
```
| 7,373 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
h,w=map(int,input().split())
g=[input() for _ in range(h)]
for x in range(h):
for y in range(w):
if g[x][y]=='.': continue
ng=1
for dx,dy in [(1,0),(0,1),(-1,0),(0,-1)]:
nx,ny=x+dx,y+dy
if 0<=nx<h and 0<=ny<w:
if g[nx][ny]=='#': ng=0
if ng:
print('No')
exit()
print('Yes')
```
Yes
| 7,374 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
import sys
h,w=map(int,input().split())
s=[[0]*(w+2)]+[[0]+list(map(int,list(input().replace('#','1').replace('.','0'))))+[0]for i in range(h)]+[[0]*(w+2)]
for i in range(1,h+1):
for j in range(1,w+1):
if s[i][j]==1:
if s[i-1][j]+s[i+1][j]+s[i][j-1]+s[i][j+1]==0:
print('No')
sys.exit()
print('Yes')
```
Yes
| 7,375 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
h, w = map(int, input().split())
mat = []
mat.append("."*(w+2))
for i in range(h):
s = input()
mat.append("."+s+".")
mat.append("."*(w+2))
for x in range(1,w+1):
for y in range(1, h+1):
if mat[y][x] == "#" and mat[y-1][x] == "." and mat[y+1][x] == "." and mat[y][x-1] == "." and mat[y][x+1] == ".":
print("No")
exit()
print("Yes")
```
Yes
| 7,376 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
H,W=map(int,input().split())
S=["."*(W+2)]
for i in range(H):
S.append("."+input()+".")
S.append("."*(W+2))
print("Yes" if all(S[i][j]=="." or (S[i+1][j]=="#" or S[i-1][j]=="#" or S[i][j+1]=="#" or S[i][j-1]=="#") for i in range(1,H+1) for j in range(1,W)) else "No")
```
Yes
| 7,377 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
a =str(input()).split(" ")
h = int(a[0])
w = int(a[1])
maps= []
for i in range(h):
maps.append(list(input()))
for i in range(h - 1 ):
for j in range(w - 1):
if maps[i][j] == "#":
if j - 1 > 0 and maps[i][j - 1] == "#":
continue
elif j + 1 < w and maps[i][j + 1] == "#" :
continue
elif i + 1 < h and maps[i + 1][j] == "#" :
continue
elif i - 1 > 0 and maps[i - 1][j] == "#":
continue
else:
print("No")
exit()
print(i,j)
print("Yes")
```
No
| 7,378 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
H, W = map(int, input().split())
S = [input() for _ in range(H)]
for i in range(H):
S[i] = '.' + S[i] + '.'
S = ['.' * (W + 2)] + S + ['.' * (W + 2)]
cnt_list = []
for i in range(1,H+1):
for j in range(1, W+1):
if S[i][j] == '.':
pass
else:
ser = S[i-1][j] + S[i][j-1] + S[i][j+1] + S[i+1][j] + S[i+1][j+1]
cnt_list.append(ser.count('#'))
if 0 in cnt_list:
print('No')
else:
print('Yes')
```
No
| 7,379 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
x,y = map(int,input().split())
listA=[] #appendのために宣言が必要
while True:
try:
listA.append(list(input()))
except:
break;
s=0
for i in range(x):
for j in range(y):
if ((listA[i][j]!=listA[max(0,i-1)][j])&(listA[i][j]!=listA[min(x-1,i+1)][j])&
(listA[i][j]!=listA[i][max(0,j-1)])&(listA[i][j]!=listA[i][min(y-1,j+1)])):
s+=1
if s==0:
print('Yes')
else:
print('No')
```
No
| 7,380 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a canvas divided into a grid with H rows and W columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j).
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square (i, j) black when s_{i, j}= `#`, and to make Square (i, j) white when s_{i, j}= `.`.
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.
Constraints
* H is an integer between 1 and 50 (inclusive).
* W is an integer between 1 and 50 (inclusive).
* For every (i, j) (1 \leq i \leq H, 1 \leq j \leq W), s_{i, j} is `#` or `.`.
Input
Input is given from Standard Input in the following format:
H W
s_{1, 1} s_{1, 2} s_{1, 3} ... s_{1, W}
s_{2, 1} s_{2, 2} s_{2, 3} ... s_{2, W}
: :
s_{H, 1} s_{H, 2} s_{H, 3} ... s_{H, W}
Output
If square1001 can achieve his objective, print `Yes`; if he cannot, print `No`.
Examples
Input
3 3
.#.
###
.#.
Output
Yes
Input
3 3
.#.
.#.
Output
Yes
Input
5 5
.#.#
.#.#.
.#.#
.#.#.
.#.#
Output
No
Input
11 11
...#####...
.##.....##.
..##.##..#
..##.##..#
.........#
...###...#
.#########.
.#.#.#.#.#.
.#.#.#.##
..##.#.##..
.##..#..##.
Output
Yes
Submitted Solution:
```
import sys
h, w = map(int, input().split())
s = [list(input()) for _ in range(h)]
hantei = [[0 for _ in range(h)] for _ in range(w)]
for i in range(h):
for j in range(w):
if s[i][j] == "#":
if i < h-1:
if s[i+1][j] == "#":
hantei[i][j] = 1
hantei[i+1][j] = 1
if j < w-1:
if s[i][j+1] == "#":
hantei[i][j] = 1
hantei[i][j+1] = 1
for i in range(h):
for j in range(w):
if s[i][j] == "#":
if hantei[i][j] == 0:
print("No")
sys.exit()
print("Yes")
```
No
| 7,381 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two sequences a and b, both of length 2N. The i-th elements in a and b are a_i and b_i, respectively. Using these sequences, Snuke is doing the job of calculating the beauty of pairs of balanced sequences of parentheses (defined below) of length 2N. The beauty of a pair (s,t) is calculated as follows:
* Let X=0.
* For each i between 1 and 2N (inclusive), increment X by a_i if s_i = t_i, and increment X by b_i otherwise.
* The beauty of (s,t) is the final value of X.
You will be given Q queries. Process them in order. In the i-th query, update the value of a_{p_i} to x_i, and the value of b_{p_i} to y_i. Then, find the maximum possible beauty of a pair of balanced sequences of parentheses.
In this problem, only the sequences below are defined to be balanced sequences of parentheses.
* An empty string
* The concatenation of `(`, s, `)` in this order, where s is a balanced sequence of parentheses
* The concatenation of s, t in this order, where s and t are balanced sequences of parentheses
Constraints
* 1 \leq N,Q \leq 10^{5}
* -10^{9} \leq a_i,b_i,x_i,y_i \leq 10^{9}
* 1 \leq p_i \leq 2N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N Q
a_1 a_2 ... a_{2N}
b_1 b_2 ... b_{2N}
p_1 x_1 y_1
:
p_Q x_Q y_Q
Output
Print Q lines. The i-th line should contain the response to the i-th query.
Examples
Input
2 2
1 1 7 3
4 2 3 3
2 4 6
3 2 5
Output
15
15
Input
7 7
34 -20 -27 42 44 29 9 11 20 44 27 19 -31 -29
46 -50 -11 20 28 46 12 13 33 -22 -48 -27 35 -17
7 27 34
12 -2 22
4 -50 -12
3 -32 15
8 -7 23
3 -30 11
4 -2 23
Output
311
312
260
286
296
292
327
"Correct Solution:
```
import sys
from heapq import heappop, heappush, heapify
def main():
input = sys.stdin.readline
N, Q = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
ls = [b-a for a, b in zip(A, B)]
q_m = [-v for v in ls[1:-1] if v < 0]
q_p = [v for v in ls[1:-1] if v >= 0]
heapify(q_m)
heapify(q_p)
sum_A = sum(A)
sum_q_p = sum(q_p)
to_remove = set()
odd = len(q_p) % 2
Ans = []
ans = sum_A + sum_q_p - (min(q_p[0], q_m[0]) if odd else 0)
for _ in range(Q):
p, x, y = map(int, input().split())
p -= 1
v = y-x
sum_A += x - A[p]
if p==0 or p==2*N-1:
ans += x - A[p]
Ans.append(ans)
A[p] = x
continue
A[p] = x
odd ^= (ls[p] >= 0) ^ (v >= 0)
if v >= 0:
sum_q_p += v
if ls[p] >= 0:
sum_q_p -= ls[p]
to_remove.add(ls[p])
ls[p] = v
if v >= 0:
heappush(q_p, v)
else:
heappush(q_m, -v)
ans = sum_q_p + sum_A
if odd:
while q_p[0] in to_remove:
to_remove.remove(heappop(q_p))
while -q_m[0] in to_remove:
to_remove.remove(-heappop(q_m))
ans -= min(q_p[0], q_m[0])
Ans.append(ans)
print("\n".join(map(str, Ans)))
main()
```
| 7,382 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two sequences a and b, both of length 2N. The i-th elements in a and b are a_i and b_i, respectively. Using these sequences, Snuke is doing the job of calculating the beauty of pairs of balanced sequences of parentheses (defined below) of length 2N. The beauty of a pair (s,t) is calculated as follows:
* Let X=0.
* For each i between 1 and 2N (inclusive), increment X by a_i if s_i = t_i, and increment X by b_i otherwise.
* The beauty of (s,t) is the final value of X.
You will be given Q queries. Process them in order. In the i-th query, update the value of a_{p_i} to x_i, and the value of b_{p_i} to y_i. Then, find the maximum possible beauty of a pair of balanced sequences of parentheses.
In this problem, only the sequences below are defined to be balanced sequences of parentheses.
* An empty string
* The concatenation of `(`, s, `)` in this order, where s is a balanced sequence of parentheses
* The concatenation of s, t in this order, where s and t are balanced sequences of parentheses
Constraints
* 1 \leq N,Q \leq 10^{5}
* -10^{9} \leq a_i,b_i,x_i,y_i \leq 10^{9}
* 1 \leq p_i \leq 2N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N Q
a_1 a_2 ... a_{2N}
b_1 b_2 ... b_{2N}
p_1 x_1 y_1
:
p_Q x_Q y_Q
Output
Print Q lines. The i-th line should contain the response to the i-th query.
Examples
Input
2 2
1 1 7 3
4 2 3 3
2 4 6
3 2 5
Output
15
15
Input
7 7
34 -20 -27 42 44 29 9 11 20 44 27 19 -31 -29
46 -50 -11 20 28 46 12 13 33 -22 -48 -27 35 -17
7 27 34
12 -2 22
4 -50 -12
3 -32 15
8 -7 23
3 -30 11
4 -2 23
Output
311
312
260
286
296
292
327
Submitted Solution:
```
import sys
from heapq import heappop, heappush, heapify
def main():
input = sys.stdin.readline
N, Q = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
ls = [b-a for a, b in zip(A, B)]
st = set(ls[1:-1])
q_m = [-v for v in ls[1:-1] if v < 0]
q_p = [v for v in ls[1:-1] if v >= 0]
heapify(q_m)
heapify(q_p)
sum_A = sum(A)
sum_q_p = sum(q_p)
to_remove = set()
odd = len(q_p) % 2
Ans = []
ans = sum_A + sum_q_p - (min(q_p[0], q_m[0]) if odd else 0)
for _ in range(Q):
p, x, y = map(int, input().split())
p -= 1
v = y-x
sum_A += x - A[p]
if p==0 or p==2*N-1:
ans += x - A[p]
Ans.append(ans)
A[p] = x
continue
A[p] = x
odd ^= (ls[p] >= 0) ^ (v >= 0)
if v >= 0:
sum_q_p += v
if ls[p] >= 0:
sum_q_p -= ls[p]
to_remove.add(ls[p])
ls[p] = v
if v >= 0:
heappush(q_p, v)
else:
heappush(q_m, -v)
ans = sum_q_p + sum_A
if odd:
while q_p[0] in to_remove:
heappop(q_p)
while -q_m[0] in to_remove:
heappop(q_m)
ans -= min(q_p[0], q_m[0])
Ans.append(ans)
print("\n".join(map(str, Ans)))
main()
```
No
| 7,383 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two sequences a and b, both of length 2N. The i-th elements in a and b are a_i and b_i, respectively. Using these sequences, Snuke is doing the job of calculating the beauty of pairs of balanced sequences of parentheses (defined below) of length 2N. The beauty of a pair (s,t) is calculated as follows:
* Let X=0.
* For each i between 1 and 2N (inclusive), increment X by a_i if s_i = t_i, and increment X by b_i otherwise.
* The beauty of (s,t) is the final value of X.
You will be given Q queries. Process them in order. In the i-th query, update the value of a_{p_i} to x_i, and the value of b_{p_i} to y_i. Then, find the maximum possible beauty of a pair of balanced sequences of parentheses.
In this problem, only the sequences below are defined to be balanced sequences of parentheses.
* An empty string
* The concatenation of `(`, s, `)` in this order, where s is a balanced sequence of parentheses
* The concatenation of s, t in this order, where s and t are balanced sequences of parentheses
Constraints
* 1 \leq N,Q \leq 10^{5}
* -10^{9} \leq a_i,b_i,x_i,y_i \leq 10^{9}
* 1 \leq p_i \leq 2N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N Q
a_1 a_2 ... a_{2N}
b_1 b_2 ... b_{2N}
p_1 x_1 y_1
:
p_Q x_Q y_Q
Output
Print Q lines. The i-th line should contain the response to the i-th query.
Examples
Input
2 2
1 1 7 3
4 2 3 3
2 4 6
3 2 5
Output
15
15
Input
7 7
34 -20 -27 42 44 29 9 11 20 44 27 19 -31 -29
46 -50 -11 20 28 46 12 13 33 -22 -48 -27 35 -17
7 27 34
12 -2 22
4 -50 -12
3 -32 15
8 -7 23
3 -30 11
4 -2 23
Output
311
312
260
286
296
292
327
Submitted Solution:
```
import sys
from heapq import heappop, heappush, heapify
def main():
input = sys.stdin.readline
N, Q = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
ls = [b-a for a, b in zip(A, B)]
st = set(ls[1:-1])
q_m = [-v for v in ls[1:-1] if v < 0]
q_p = [v for v in ls[1:-1] if v >= 0]
heapify(q_m)
heapify(q_p)
sum_A = sum(A)
sum_q_p = sum(q_p)
to_remove = set()
odd = len(q_p) % 2
Ans = []
ans = sum_A + sum_q_p - (min(q_p[0], q_m[0]) if odd else 0)
for _ in range(Q):
p, x, y = map(int, input().split())
p -= 1
v = y-x
sum_A += x - A[p]
if p==0 or p==2*N-1:
ans += x - A[p]
Ans.append(ans)
A[p] = x
continue
A[p] = x
odd ^= (ls[p] >= 0) ^ (v >= 0)
if v >= 0:
sum_q_p += v
if ls[p] >= 0:
sum_q_p -= ls[p]
to_remove.add(ls[p])
ls[p] = v
if v >= 0:
heappush(q_p, v)
else:
heappush(q_m, -v)
ans = sum_q_p + sum_A
if odd:
while q_p[0] in to_remove:
heappop(q_p)
while q_m[0] in to_remove:
heappop(q_m)
ans -= min(q_p[0], q_m[0])
Ans.append(ans)
print("\n".join(map(str, Ans)))
main()
```
No
| 7,384 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two sequences a and b, both of length 2N. The i-th elements in a and b are a_i and b_i, respectively. Using these sequences, Snuke is doing the job of calculating the beauty of pairs of balanced sequences of parentheses (defined below) of length 2N. The beauty of a pair (s,t) is calculated as follows:
* Let X=0.
* For each i between 1 and 2N (inclusive), increment X by a_i if s_i = t_i, and increment X by b_i otherwise.
* The beauty of (s,t) is the final value of X.
You will be given Q queries. Process them in order. In the i-th query, update the value of a_{p_i} to x_i, and the value of b_{p_i} to y_i. Then, find the maximum possible beauty of a pair of balanced sequences of parentheses.
In this problem, only the sequences below are defined to be balanced sequences of parentheses.
* An empty string
* The concatenation of `(`, s, `)` in this order, where s is a balanced sequence of parentheses
* The concatenation of s, t in this order, where s and t are balanced sequences of parentheses
Constraints
* 1 \leq N,Q \leq 10^{5}
* -10^{9} \leq a_i,b_i,x_i,y_i \leq 10^{9}
* 1 \leq p_i \leq 2N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N Q
a_1 a_2 ... a_{2N}
b_1 b_2 ... b_{2N}
p_1 x_1 y_1
:
p_Q x_Q y_Q
Output
Print Q lines. The i-th line should contain the response to the i-th query.
Examples
Input
2 2
1 1 7 3
4 2 3 3
2 4 6
3 2 5
Output
15
15
Input
7 7
34 -20 -27 42 44 29 9 11 20 44 27 19 -31 -29
46 -50 -11 20 28 46 12 13 33 -22 -48 -27 35 -17
7 27 34
12 -2 22
4 -50 -12
3 -32 15
8 -7 23
3 -30 11
4 -2 23
Output
311
312
260
286
296
292
327
Submitted Solution:
```
N,Q =list(map(int,input().split()))
a= list(map(int,input().split()))
b=list(map(int,input().split()))
INF=-1E10
def calc(s,t):
X=0
for i in range(2*N):
if s[i]==t[i]:
X+=a[i]
else:
X+=b[i]
return X
for p,x,y in [list(map(int,input().split())) for _ in range(Q)]:
a[p-1]=x
b[p-1]=y
def get_dp(i,j):
if 0<=i<2*N and 0 <=j<=i:
return dp[i][j]
return INF
dp = [-INF for _ in range(2*N)]
dp[0]=a[0]
flag=False
tmp=0
X =a[0]+a[-1]
for i in range(1,2*N-1):
X+=max(a[i],b[i])
if a[i]>b[i]:
tmp+=1
if a[i]==b[i]:
flag=True
if flag or tmp%2==0:
print(X)
else:
print(X- min(abs(a[i]-b[i]) for i in range(1,2*N-1)))
```
No
| 7,385 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
N=int(input())
city=[0]*N
for i in range(N):
x,y=map(int,input().split())
city[i]=(i,x,y)
city.sort(key=lambda x:x[1])
data=[(city[i][0],city[i+1][0],city[i+1][1]-city[i][1]) for i in range(N-1)]
city.sort(key=lambda x:x[2])
data+=[(city[i][0],city[i+1][0],city[i+1][2]-city[i][2]) for i in range(N-1)]
data.sort(key=lambda x:x[2])
f = list(range(N))
costs = [1] * N
def find(x):
if f[x] != x:
f[x] = find(f[x])
return f[x]
res = 0
for i, j, k in data:
fi, fj = find(i), find(j)
if fi == fj:
continue
else:
if costs[fi] <= costs[fj]:
f[fi] = fj
costs[fj] += costs[fi]
res += k
else:
f[fj] = fi
costs[fi] += costs[fj]
res += k
print(res)
```
| 7,386 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
# coding: utf-8
import heapq
n=int(input())
p=[]
d=[[] for i in range(n)]
for i in range(n):
p.append(tuple(map(int,input().split()))+tuple([i]))
x_sorted=sorted(p,key=lambda x:x[0])
y_sorted=sorted(p,key=lambda x:x[1])
for i in range(n-1):
d[x_sorted[i][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i+1][2]))
d[x_sorted[i+1][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i][2]))
d[y_sorted[i][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i+1][2]))
d[y_sorted[i+1][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i][2]))
h=[]
for q in d[0]:
heapq.heappush(h,q)
used=[False for i in range(n)]
used[0]=True
cost=0
while len(h):
q=heapq.heappop(h)
if used[q[1]]:
continue
used[q[1]]=True
cost+=q[0]
for r in d[q[1]]:
heapq.heappush(h,r)
print(cost)
```
| 7,387 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
#!/usr/bin python3
# -*- coding: utf-8 -*-
#最小全域木 クラスカル法
# 重み付き無向グラフで、それらの全ての頂点を結び連結するような木の最小のコストを求める
# 辺の重みの小さい順にみて、連結成分が閉路にならない辺を追加していく
# つなぐ頂点が同じ連結成分にないことをUnion Find Tree でみる
INF = float('inf')
class UnionFind():
def __init__(self, n): #初期化
self.n = n
# 親
self.parents = [i for i in range(n)]
# 木の深さ
self.ranks = [0] * n
def find(self, x): #親を出力
if self.parents[x] == x:
return x
else:
self.parents[x] = self.find(self.parents[x])
return self.parents[x]
def unite(self, x, y):
x = self.find(x)
y = self.find(y)
if x == y:
return
if self.ranks[x] < self.ranks[y]:
self.parents[x] = y
else:
self.parents[y] = x
if self.ranks[x]==self.ranks[y]:
self.ranks[x] += 1
def same(self, x, y): #xとyが同じグループかどうか
return self.find(x) == self.find(y)
def kruskal(n, edges):
uf = UnionFind(n)
ret = 0
for w, u, v in edges:
if not uf.same(u, v):
ret += w
uf.unite(u, v)
return ret
def main():
N = int(input())
#リストの作成
L = [None]*N
for i in range(N):
x, y = map(int,input().split())
L[i]=(x, y, i)
Edges = []
for i in range(2):
L.sort(key=lambda x:x[i])
for j in range(N-1):
Edges.append( (L[j+1][i]-L[j][i], L[j][2], L[j+1][2]) )
Edges.sort()
print(kruskal(N, Edges))
if __name__ == '__main__':
main()
```
| 7,388 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
from heapq import heappush, heappop
# 入力
N = int(input())
x, y = (
zip(*(map(int, input().split()) for _ in range(N))) if N else
((), ())
)
# x座標およびy座標について街をソートし、ソート後に隣り合う街を辺で結んだ重み付きグラフを作成する
# 作成したグラフに対してプリム法により解を求める
ts = list(zip(range(1, N + 1), x, y))
ts_x = sorted(ts, key=lambda t: t[1])
ts_y = sorted(ts, key=lambda t: t[2])
G = [{} for _ in range(N + 1)]
for ((i, a, b), (j, c, d)) in zip(ts_x[1:], ts_x):
G[i][j] = min(abs(c - a), abs(d - b))
G[j][i] = G[i][j]
for ((i, a, b), (j, c, d)) in zip(ts_y[1:], ts_y):
G[i][j] = min(abs(c - a), abs(d - b))
G[j][i] = G[i][j]
def prim(G):
used = [False for _ in range(len(G))]
res = 0
q = []
used[1] = True
for j, w in G[1].items():
heappush(q, (w, j))
while q:
w, j = heappop(q)
if not used[j]:
used[j] = True
res += w
for j2, w2 in G[j].items():
heappush(q, (w2, j2))
return res
ans = prim(G)
# 出力
print(ans)
```
| 7,389 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
n = int(input())
a = [list(map(int, input().split())) for _ in range(n)]
a = sorted(a)
gra = []
for i in range(n):
a[i].append(i)
for i in range(n-1):
gra.append([a[i][2],a[i+1][2],a[i+1][0]-a[i][0]])
a = sorted(a,key= lambda x:x[1])
for i in range(n-1):
gra.append([a[i][2],a[i+1][2],a[i+1][1]-a[i][1]])
union = [0] * n
uc = 0
ans = 0
gra = sorted(gra, key = lambda x: x[2])
class UnionFind():
#負の値はルートで集合の個数
#正の値は次の要素を返す
def __init__(self,size):
self.table = [-1 for _ in range(size)]
#集合の代表を求める
def find(self,x):
while self.table[x] >= 0:
#根に来た時,self.table[根のindex]は負の値なのでx = 根のindexで値が返される。
x = self.table[x]
return x
#併合
def union(self,x,y):
s1 = self.find(x)#根のindex,table[s1]がグラフの高さ
s2 = self.find(y)
if s1 != s2:#根が異なる場合
if self.table[s1] != self.table[s2]:#グラフの高さが異なる場合
if self.table[s1] < self.table[s2]:
self.table[s2] = s1
else:
self.table[s1] = s2
else:
#グラフの長さが同じ場合,どちらを根にしても変わらない
#その際,グラフが1長くなることを考慮する
self.table[s1] += -1
self.table[s2] = s1
return
uni = UnionFind(n)
for i in range(len(gra)):
hen = gra[i]
if (uni.find(hen[0]) != uni.find(hen[1])):
ans += hen[2]
uni.union(hen[0],hen[1])
uc += 1
if uc == n-1:
break
print(ans)
```
| 7,390 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
from heapq import heapify, heappop, heappush
n = int(input())
x_loc, y_loc = [], []
for i in range(n):
x, y = map(int, input().split())
x_loc.append((x, i))
y_loc.append((y, i))
x_loc.sort()
y_loc.sort()
links = [set() for _ in range(n)]
for (x1, i1), (x2, i2) in zip(x_loc, x_loc[1:]):
dist = x2 - x1
links[i1].add((dist, i2))
links[i2].add((dist, i1))
for (y1, i1), (y2, i2) in zip(y_loc, y_loc[1:]):
dist = y2 - y1
links[i1].add((dist, i2))
links[i2].add((dist, i1))
# プリム法
visited = {0}
queue = list(links[0])
heapify(queue)
total = 0
while True:
cost, i = heappop(queue)
if i in visited:
continue
visited.add(i)
total += cost
if len(visited) == n:
break
for cost2, j in links[i]:
if j in visited:
continue
heappush(queue, (cost2, j))
print(total)
```
| 7,391 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
from sys import exit, setrecursionlimit, stderr
from functools import reduce
from itertools import *
from collections import *
from bisect import *
def read():
return int(input())
def reads():
return [int(x) for x in input().split()]
setrecursionlimit(1 << 30)
class union_find:
def __init__(self, n): self.par = [-1] * n; self.rank = [0] * n
def __repr__(self): return "union_find({0})".format([self.root(i) for i in range(n)])
def unite(self, x, y):
x = self.root(x); y = self.root(y)
if x == y: return
if self.rank[x] < self.rank[y]: self.par[x] = y
else:
self.par[y] = x
if self.rank[x] == self.rank[y]: self.rank[x] += 1
def root(self, x):
if self.par[x] == -1: return x
else: self.par[x] = self.root(self.par[x]); return self.par[x]
def same(self, x, y): return self.root(x) == self.root(y)
N = read()
ps = []
for i in range(N):
x, y = reads()
ps.append((i, x, y))
edges = []
for q in range(1, 3):
ps.sort(key=lambda p: p[q])
for i in range(N-1):
edges.append((ps[i+1][q] - ps[i][q], ps[i][0], ps[i+1][0]))
edges.sort()
uf = union_find(N)
ans = 0
for c, i, j in edges:
if not uf.same(i, j):
ans += c
uf.unite(i, j)
print(ans)
```
| 7,392 |
Provide a correct Python 3 solution for this coding contest problem.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
"Correct Solution:
```
class UnionFindNode:
def __init__(self, group_id, parent=None, value=None):
self.group_id_ = group_id
self.parent_ = parent
self.value = value
self.rank_ = 1
self.member_num_ = 1
def is_root(self):
return not self.parent_
def root(self):
parent = self
while not parent.is_root():
parent = parent.parent_
self.parent_ = parent
return parent
def find(self):
root = self.root()
return root.group_id_
def rank(self):
root = self.root()
return root.rank_
def unite(self, unite_node):
root = self.root()
unite_root = unite_node.root()
if root.group_id_ != unite_root.group_id_:
if root.rank() > unite_root.rank():
unite_root.parent_ = root
root.rank_ = max(root.rank_, unite_root.rank_ + 1)
root.member_num_ = root.member_num_ + unite_root.member_num_
else:
root.parent_ = unite_root
unite_root.rank_ = max(root.rank_ + 1, unite_root.rank_)
unite_root.member_num_ = root.member_num_ + unite_root.member_num_
N, = map(int, input().split())
X,Y = [],[]
for i in range(1, N+1):
x, y = map(int, input().split())
X.append((x,i))
Y.append((y,i))
X = sorted(X, key=lambda x:x[0])
Y = sorted(Y, key=lambda x:x[0])
G = [set() for _ in range(N+1)]
Es = set()
for i in range(N-1):
Es.add((tuple(sorted([X[i][1], X[i+1][1]])), abs(X[i][0]-X[i+1][0])))
Es.add((tuple(sorted([Y[i][1], Y[i+1][1]])), abs(Y[i][0]-Y[i+1][0])))
G[X[i][1]].add(X[i+1][1])
G[Y[i][1]].add(Y[i+1][1])
G[X[i+1][1]].add(X[i][1])
G[Y[i+1][1]].add(Y[i][1])
node_list = [UnionFindNode(i) for i in range(N+1)]
Es = sorted(Es, key=lambda x:x[1])
r = 0
for (x, y), c in Es:
if node_list[x].find() == node_list[y].find():
continue
r += c
node_list[x].unite(node_list[y])
print(r)
```
| 7,393 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
Submitted Solution:
```
class UnionFind(object):
def __init__(self, n):
self.n = n
self.par = list(range(n))
self.rank = [1] * n
def is_same(self, a, b):
return self.root(a) == self.root(b)
def root(self, x):
if self.par[x] == x:
return x
self.par[x] = self.root(self.par[x])
return self.par[x]
def unite(self, x, y):
x = self.root(x)
y = self.root(y)
if x == y:
return
if self.rank[x] > self.rank[y]:
self.par[y] = x
elif self.rank[x] < self.rank[y]:
self.par[x] = y
else:
self.par[y] = x
self.rank[x] += 1
N = int(input())
X = []
Y = []
for i in range(N):
x, y = map(int, input().split())
X.append((x, i))
Y.append((y, i))
X = sorted(X)
Y = sorted(Y)
graph = []
for i in range(N - 1):
graph.append((X[i + 1][0] - X[i][0], X[i][1], X[i + 1][1]))
graph.append((Y[i + 1][0] - Y[i][0], Y[i][1], Y[i + 1][1]))
graph.sort()
uf = UnionFind(N)
total_cost = 0
for cost, a, b in graph:
if not uf.is_same(a, b):
uf.unite(a, b)
total_cost += cost
print(total_cost)
```
Yes
| 7,394 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
Submitted Solution:
```
class UnionFind():
# 要素数を指定して作成 はじめは全ての要素が別グループに属し、親はいない
def __init__(self, n):
self.n = n
self.parents = [-1] * n
# xの根を返す
def find(self, x):
if self.parents[x] < 0: return x
else:
self.parents[x] = self.find(self.parents[x])
return self.parents[x]
# xとyが属するグループを併合
def union(self, x, y):
x = self.find(x)
y = self.find(y)
if x == y: return
if self.parents[x] > self.parents[y]: x, y = y, x
self.parents[x] += self.parents[y]
self.parents[y] = x
# xが属するグループの要素数
def size(self, x): return -self.parents[self.find(x)]
# ｘとyが同じグループか否か
def same(self, x, y): return self.find(x) == self.find(y)
# xと同じメンバーの要素
def members(self, x):
root = self.find(x)
return [i for i in range(self.n) if self.find(i) == root]
# 根の一覧
def roots(self): return [i for i, x in enumerate(self.parents) if x < 0]
# グループ数
def group_count(self): return len(self.roots())
# 可視化 [print(uf)]
def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
def kruskal(G):
G = sorted(G, key = lambda x: x[2])
U = UnionFind(len(G))
res = 0
for e in G:
s, t, w = e
if not U.same(s, t):
res += w
U.union(s, t)
return res
N = int(input())
in_list = []
for i in range(N):
in1, in2 = list(map(int,input().split()))
in_list.append([i, in1, in2])
x = sorted(in_list, key = lambda x: x[1])
y = sorted(in_list, key = lambda x: x[2])
G = []
for i in range(1, N):
G.append([x[i - 1][0], x[i][0], x[i][1] - x[i - 1][1]])
G.append([y[i - 1][0], y[i][0], y[i][2] - y[i - 1][2]])
ans = kruskal(G)
print(ans)
```
Yes
| 7,395 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
Submitted Solution:
```
import heapq
import sys
sys.setrecursionlimit(10 ** 7)
class UnionFind():
def __init__(self, size):
self.table = [-1 for _ in range(size)]
self.count = 0
# def find(self, x):
# while self.table[x] >= 0:
# x = self.table[x]
# return x
def find(self, x):
if self.table[x] < 0:
return x
else:
self.table[x] = self.find(self.table[x])
return self.table[x]
def union(self, x, y):
s1 = self.find(x)
s2 = self.find(y)
if s1 != s2:
if self.table[s1] > self.table[s2]:
self.table[s2] = s1
elif self.table[s1] < self.table[s2]:
self.table[s1] = s2
else:
self.table[s1] = s2
self.table[s2] -= 1
self.count += 1
return True
return False
n = int(input())
x = []
y = []
for i in range(n):
a, b = map(int, input().split())
x.append([i, a])
y.append([i, b])
vx = sorted(x, key=lambda x: x[1])
vy = sorted(y, key=lambda x: x[1])
edges = []
uf = UnionFind(n)
for i in range(n - 1):
if vx[i][1] == vx[i + 1][1]:
uf.union(vx[i][0], vx[i + 1][0])
else:
heapq.heappush(edges, (vx[i + 1][1] - vx[i][1], vx[i][0], vx[i + 1][0]))
if vy[i][1] == vy[i + 1][1]:
uf.union(vy[i][0], vy[i + 1][0])
else:
heapq.heappush(edges, (vy[i + 1][1] - vy[i][1], vy[i][0], vy[i + 1][0]))
#edges = sorted(edges, key=lambda x: x[2], reverse=True)
#print(edges)
ans = 0
while edges != []:
e = heapq.heappop(edges)
if uf.union(e[1], e[2]):
ans += e[0]
if uf.count == n - 1:
break
print(ans)
```
Yes
| 7,396 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
Submitted Solution:
```
import sys
#import time
import copy
#from collections import deque, Counter, defaultdict
#from fractions import gcd
#import bisect
#import heapq
#import time
input = sys.stdin.readline
sys.setrecursionlimit(10**8)
inf = 10**18
MOD = 1000000007
ri = lambda : int(input())
rs = lambda : input().strip()
rl = lambda : list(map(int, input().split()))
class UnionFind():
def __init__(self, n):
self.n = n
self.root = [-1]*(n+1)
self.rnk = [0]*(n+1)
# ノードxのrootノードを見つける
def find(self, x):
if(self.root[x] < 0):
return x
else:
self.root[x] = self.find(self.root[x])
return self.root[x]
# 木の併合、入力は併合したい各ノード
def unite(self, x, y):
x = self.find(x)
y = self.find(y)
if(x == y):
return
elif(self.rnk[x] > self.rnk[y]):
self.root[x] += self.root[y]
self.root[y] = x
else:
self.root[y] += self.root[x]
self.root[x] = y
if(self.rnk[x] == self.rnk[y]):
self.rnk[y] += 1
# xとyが同じグループに属するか判断
def same(self, x, y):
return self.find(x) == self.find(y)
# ノードxが属する木のサイズを返す
def size(self, x):
return -self.root[self.find(x)]
n = ri()
d1=[tuple(rl())+tuple((i,)) for i in range(n)]
d2=d1[:]
d1.sort(key=lambda x:x[0])
d2.sort(key=lambda x:x[1])
edge=[]
for i in range(n-1):
edge.append((d1[i+1][2], d1[i][2],d1[i+1][0]-d1[i][0]))
edge.append((d2[i+1][2], d2[i][2],d2[i+1][1]-d2[i][1]))
edge.sort(key=lambda x: x[2])
res=0
uf = UnionFind(n)
for e in edge:
if uf.same(e[0], e[1]):
continue
uf.unite(e[0], e[1])
res+=e[2]
print(res)
```
Yes
| 7,397 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
Submitted Solution:
```
length = int(input())
target = []
for i in range(length):
a,b = (int(n) for n in input().split(" "))
target.append([a,b,i])
target.sort()
bef_x,bef_y = -1,-1
for i in range(length-1,-1,-1):
if bef_x == target[i][0] and bef_y == target[i][1]:
target.pop(i)
length -= 1
else:
bef_x = target[i][0]
bef_y = target[i][1]
x_sorted = target[:]
y_sorted = (sorted(target,key=lambda x:x[1]))[:]
count = 0
already = set()
now_x = 0
now_y = 0
now_rev_x = length - 1
now_rev_y = length - 1
answer = 0
# print(x_sorted)
# print(y_sorted)
while count < length - 1:
x_diff = abs(x_sorted[now_x][0] - x_sorted[now_x + 1][0])
rev_x_diff = abs(x_sorted[now_rev_x][0] - x_sorted[now_rev_x - 1][0])
y_diff = abs(y_sorted[now_y][1] - y_sorted[now_y + 1][1])
rev_y_diff = abs(y_sorted[now_rev_y][1] - y_sorted[now_rev_y - 1][1])
min_choice = min(x_diff,rev_x_diff,y_diff,rev_y_diff)
if min_choice == x_diff:
real_index = {x_sorted[now_x][2],x_sorted[now_x + 1][2]}
if (real_index - already):
answer += min_choice
already |= real_index
now_x += 1
else:
now_x += 1
elif min_choice == y_diff:
real_index = {y_sorted[now_y][2],y_sorted[now_y + 1][2]}
if (real_index - already):
answer += min_choice
already |= real_index
now_y += 1
else:
now_y += 1
elif min_choice == rev_x_diff:
real_index = {x_sorted[now_rev_x][2],x_sorted[now_rev_x - 1][2]}
if (real_index - already):
answer += min_choice
already |= real_index
now_rev_x -= 1
else:
now_rev_x -= 1
else:
real_index = {y_sorted[now_rev_y][2],y_sorted[now_rev_y - 1][2]}
if (real_index - already):
answer += min_choice
already |= real_index
now_rev_y -= 1
else:
now_rev_y -= 1
if now_x == now_rev_x:
x_sorted[now_x][0] = float("inf")
elif now_y == now_rev_y:
y_sorted[now_y][1] = float("inf")
# print(x_diff,rev_x_diff,y_diff,rev_y_diff,now_x,now_rev_x,now_y,now_rev_y,answer,already)
count += 1
print(answer)
```
No
| 7,398 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.
You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.
Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ x_i,y_i ≤ 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_N y_N
Output
Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.
Examples
Input
3
1 5
3 9
7 8
Output
3
Input
6
8 3
4 9
12 19
18 1
13 5
7 6
Output
8
Submitted Solution:
```
from heapq import heappop, heappush
import sys
input = sys.stdin.readline
class UnionFind:
def __init__(self, n):
self.par = [i for i in range(n + 1)]
self.rank = [0] * (n + 1)
def find(self, x):
if self.par[x] == x:
return x
else:
self.par[x] = self.find(self.par[x])
return self.par[x]
def same_check(self, x, y):
return self.find(x) == self.find(y)
def union(self, x, y):
x = self.find(x)
y = self.find(y)
if self.rank[x] < self.rank[y]:
self.par[x] = y
else:
self.par[y] = x
if self.rank[x] == self.rank[y]:
self.rank[x] += 1
class Kruskal:
def __init__(self, Q, n):
self.uf = UnionFind(n)
self.cost = 0
self.Q = Q
for i in range(2 * N - 2):
w, u, v = heappop(self.Q)
if self.uf.same_check(u, v) != True:
self.uf.union(u, v)
self.cost += w
N = int(input())
L1 = []
L2 = []
for i in range(N):
x, y = list(map(int, input().split()))
L1.append([x, y, i + 1])
L2.append([y, x, i + 1])
Lx = sorted(L1)
Ly = sorted(L2)
Q = []
for i in range(N - 1):
u = Lx[i][2]
v = Lx[i + 1][2]
w = min(Lx[i+ 1][0] - Lx[i][0], abs(Lx[i + 1][1] - Lx[i][1]))
heappush(Q, [w, u, v])
u = Ly[i][2]
v = Ly[i + 1][2]
w = min(Ly[i+ 1][0] - Ly[i][0], abs(Ly[i + 1][1] - Ly[i][1]))
heappush(Q, [w, u, v])
Km = Kruskal(Q, N)
print(Km.cost)
```
No
| 7,399 |
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