message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2 | instruction | 0 | 41,017 | 5 | 82,034 |
"Correct Solution:
```
N = int(input())
W = [int(x) for x in input().split()]
WL = list(abs(sum(W[:x])-sum(W[x:])) for x in range(0,N+1))
print(min(WL))
``` | output | 1 | 41,017 | 5 | 82,035 |
Provide a correct Python 3 solution for this coding contest problem.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2 | instruction | 0 | 41,018 | 5 | 82,036 |
"Correct Solution:
```
N = int(input())
W = list(map(int,input().split()))
print(min(abs(sum(W[:i])-sum(W[i:])) for i in range(N)))
``` | output | 1 | 41,018 | 5 | 82,037 |
Provide a correct Python 3 solution for this coding contest problem.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2 | instruction | 0 | 41,019 | 5 | 82,038 |
"Correct Solution:
```
n = int(input())
w = list(map(int,input().split()))
m = float("Inf")
for i in range(n):
m = min(m,abs(sum(w[:i])-sum(w[i:])))
print(m)
``` | output | 1 | 41,019 | 5 | 82,039 |
Provide a correct Python 3 solution for this coding contest problem.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2 | instruction | 0 | 41,020 | 5 | 82,040 |
"Correct Solution:
```
n=int(input())
s=list(map(int,input().split()))
print(min ((abs(sum(s[:i])-sum(s[i:]))) for i in range(n)))
``` | output | 1 | 41,020 | 5 | 82,041 |
Provide a correct Python 3 solution for this coding contest problem.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2 | instruction | 0 | 41,021 | 5 | 82,042 |
"Correct Solution:
```
N = int(input())
W = list(map(int, input().split()))
print(min([abs(sum(W[:i]) - sum(W[i:])) for i in range(N)]))
``` | output | 1 | 41,021 | 5 | 82,043 |
Provide a correct Python 3 solution for this coding contest problem.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2 | instruction | 0 | 41,022 | 5 | 82,044 |
"Correct Solution:
```
N=int(input())
W=list(map(int,input().split()))
S=[]
for T in range(0,N):
x=sum(W[0:T+1])
S.append(abs(sum(W)-2*x))
print(min(S))
``` | output | 1 | 41,022 | 5 | 82,045 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
n=int(input())
w=list(map(int,input().split()))
ans=[]
for i in range(n):
ans.append(abs(sum(w[:i])-sum(w[i:])))
print(min(ans))
``` | instruction | 0 | 41,023 | 5 | 82,046 |
Yes | output | 1 | 41,023 | 5 | 82,047 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
n=int(input())
w=list(map(int,input().split()))
a=float('inf')
for i in range(1,n):
a=min(abs(sum(w[:i])-sum(w[i:])),a)
print(a)
``` | instruction | 0 | 41,024 | 5 | 82,048 |
Yes | output | 1 | 41,024 | 5 | 82,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
N=int(input())
W=[int(i) for i in input().split()]
a=[]
for i in range(N):
a.append(abs(sum(W[0:i])-sum(W[i:N+1])))
print(min(a))
``` | instruction | 0 | 41,025 | 5 | 82,050 |
Yes | output | 1 | 41,025 | 5 | 82,051 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
n = int(input())
W = list(map(int, input().split()))
ABS = [abs(sum(W[:i + 1]) - sum(W[i + 1:])) for i in range(n - 1)]
print(min(ABS))
``` | instruction | 0 | 41,026 | 5 | 82,052 |
Yes | output | 1 | 41,026 | 5 | 82,053 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
n=int(input())
w=list(map(int,input().split()))
cut=sum(w)/2
mass=0
i=0
while cut>=mass:
mass+=w[i]
i+=1
else:
print(abs(sum(w)-2*mass),abs(sum(w)-2*(mass-w[i-1]))
``` | instruction | 0 | 41,027 | 5 | 82,054 |
No | output | 1 | 41,027 | 5 | 82,055 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
n=int(input())
w= list(map(int, input().split()))
s=sum(w)
t=0
ans=abs(s-2*a[0])
for i in range(n-1):
t+=a[i]
ans=min(ans,abs(s-2*t))
print(ans)
``` | instruction | 0 | 41,028 | 5 | 82,056 |
No | output | 1 | 41,028 | 5 | 82,057 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
t = int(input())
l = [int(x) for x in input().split()]
min_sum = -1
s1 = l[:t]
s2 = l[t:]
s1_sum = sum(s1)
s2_sum = sum(s2)
#if min_sum < 0 or min_sum > abs(s1_sum - s2_sum):
min_sum = abs(s1_sum - s2_sum)
print(min_sum)
``` | instruction | 0 | 41,029 | 5 | 82,058 |
No | output | 1 | 41,029 | 5 | 82,059 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
Submitted Solution:
```
s = input()
w_list = s.split()
w_list.sort(reverse=True)
print(w_list)
left_sum = right_sum = 0
for w in w_list:
if left_sum <= right_sum:
left_sum += int(w)
else:
right_sum += int(w)
print(abs(left_sum - right_sum))
``` | instruction | 0 | 41,030 | 5 | 82,060 |
No | output | 1 | 41,030 | 5 | 82,061 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,031 | 5 | 82,062 |
"Correct Solution:
```
# coding: utf-8
# Your code here!
import sys
from collections import Counter
N,M = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
mod = 10**9+7
cnt_A = [False]*(N*M+1)
for a in A:
cnt_A[a] = True
cnt_B = [False]*(N*M+1)
for b in B:
cnt_B[b] = True
ans = 1
N_ume = 0
M_ume = 0
for i in reversed(range(1,N*M+1)):
if cnt_A[i] and cnt_B[i]:
N_ume += 1
M_ume += 1
elif cnt_A[i]:
ans *= M_ume
N_ume += 1
elif cnt_B[i]:
ans *= N_ume
M_ume += 1
else:
ans *= N_ume*M_ume - (N*M - i)
ans %= mod
# print(ans)
print(ans)
``` | output | 1 | 41,031 | 5 | 82,063 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,032 | 5 | 82,064 |
"Correct Solution:
```
import sys
import bisect
sr = lambda: sys.stdin.readline().rstrip()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))
N, M = lr()
MOD = 10 ** 9 + 7
A = lr(); A.sort()
B = lr(); B.sort()
if len(set(A)) != N or len(set(B)) != M or min(A) < M or min(B) < N:
print(0); exit()
Aset = set(A)
Bset = set(B)
total_set = Aset | Bset
answer = 1
for x in total_set:
if x in Aset and x in Bset:
continue
if x in Aset:
i = bisect.bisect_left(B, x)
answer *= (M - i)
else:
i = bisect.bisect_left(A, x)
answer *= (N - i)
answer %= MOD
remain_set = set(range(1, N*M+1)) - total_set
remain = sorted(list(remain_set), reverse=True)
# 残った物を大きい順に決めていく
for x in remain:
ai = bisect.bisect_left(A, x)
bi = bisect.bisect_left(B, x)
y = (N-ai) * (M-bi) - (N*M - x)
answer *= y
answer %= MOD
print(answer)
#46
``` | output | 1 | 41,032 | 5 | 82,065 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,033 | 5 | 82,066 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
MOD = 10 ** 9 + 7
N, M = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
A.sort(reverse=True)
B.sort(reverse=True)
A.append(0)
B.append(0)
ans, h, w = 1, 0, 0
for i in range(N * M, 0, -1):
if A[h] == i:
h += 1
if B[w] == i:
w += 1
else:
ans = ans * w % MOD
elif B[w] == i:
w += 1
ans = ans * h % MOD
else:
ans = ans * (h * w - (N * M - i)) % MOD
if ans == 0:
break
print(ans)
``` | output | 1 | 41,033 | 5 | 82,067 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,034 | 5 | 82,068 |
"Correct Solution:
```
N, M = (int(i) for i in input().split())
A = [int(i) for i in input().split()]
B = [int(i) for i in input().split()]
A.sort()
B.sort()
v = [0] * (N*M+1)
e = [0] * (N*M+1)
for i in range(N):
for j in range(M):
v[min(A[i],B[j])] += 1
if A[i] == B[j]:
e[A[i]] += 1
res = 1
vim = 0
for i in range(N*M, 0, -1):
if v[i] == 0:
if vim > 0:
res *= vim
res %= 1000000007
vim -= 1
else:
res = 0
break
elif v[i] == 1:
pass
else:
if e[i] == 0:
res *= v[i]
res %= 1000000007
elif e[i] == 1:
pass
else:
res = 0
break
vim += v[i] - 1
res %= 1000000007
print(res)
``` | output | 1 | 41,034 | 5 | 82,069 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,035 | 5 | 82,070 |
"Correct Solution:
```
import bisect
MOD = 10**9+7
N,M = map(int,input().split())
A = sorted(list(map(int,input().split())))
B = sorted(list(map(int,input().split())))
a = set(A)
b = set(B)
check = True
if len(a) != N or len(b) != M:
check = False
ans = 1
for num in range(N*M,0,-1):
tmp = 0
if num in a and num in b: continue
elif num in a:
tmp = M - bisect.bisect_left(B,num)
elif num in b:
tmp = N - bisect.bisect_left(A,num)
else:
x = bisect.bisect_left(A,num)
y = bisect.bisect_left(B,num)
tmp = (N-x)*(M-y) - (M*N-num)
if tmp < 0 or check == False:
check = False
break
ans *= tmp
ans %= MOD
print(ans if check else 0)
``` | output | 1 | 41,035 | 5 | 82,071 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,036 | 5 | 82,072 |
"Correct Solution:
```
n,m=map(int,input().split())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
A=set(a);B=set(b)
if len(A)!=len(a) or len(B)!=len(b):
print(0)
else:
L=[]
for i in range(n):
l=[]
for j in range(m):
l.append(0)
L.append(l)
ct=1;ctn=0;ctm=0
for k in range(m*n,0,-1):
if k in A and k in B:
L[n-ctn-1][m-ctm-1]=k
ctn+=1;ctm+=1
elif k in A:
ct*=ctm;ctn+=1
elif k in B:
ct*=ctn;ctm+=1
else:
ct*=(ctm*ctn-m*n+k)
if ct==0:
break
ct=ct%(10**9+7)
print(ct)
``` | output | 1 | 41,036 | 5 | 82,073 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,037 | 5 | 82,074 |
"Correct Solution:
```
mod=10**9+7
n,m=map(int,input().split())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
if len(a)!=len(set(a)) or len(b)!=len(set(b)):
print(0)
exit()
a.sort(reverse=True)
b.sort(reverse=True)
i_a=0
i_b=0
ans=1
for i in range(n*m,0,-1):
f_a=f_b=0
if i_a<n:
if a[i_a]==i:
f_a=1
i_a+=1
if i_b<m:
if b[i_b]==i:
f_b=1
i_b+=1
if f_a==f_b==1:
pass
elif f_a==1:
ans=ans*i_b%mod
elif f_b==1:
ans=ans*i_a%mod
else:
r=n*m-i
ans=ans*(i_a*i_b-r)%mod
print(ans)
``` | output | 1 | 41,037 | 5 | 82,075 |
Provide a correct Python 3 solution for this coding contest problem.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227 | instruction | 0 | 41,038 | 5 | 82,076 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
mod = int(1e9+7)
N,M = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
A.sort(reverse=True)
B.sort(reverse=True)
if len(set(A)) < N or len(set(B)) < M:
print(0)
exit(0)
A.append(0)
B.append(0)
ai,bi = 0,0
ans = 1
for i in range(N*M,0,-1):
if i == A[ai] and i == B[bi]:
ai += 1
bi += 1
elif i == A[ai]:
ans *= bi
ai += 1
elif i == B[bi]:
ans *= ai
bi += 1
else:
if min(ai,N) * min(bi,M) - (N*M - i) > 0:
ans *= (min(ai,N) * min(bi,M) - (N*M - i))
else:
#print(0,i,ai,bi)
print(0)
exit(0)
ans %= mod
print(ans)
``` | output | 1 | 41,038 | 5 | 82,077 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
n,m=map(int,input().split())
r=list(map(int,input().split()))
c=list(map(int,input().split()))
r.sort(reverse=True)
c.sort(reverse=True)
dict1={}
dict2={}
for i in range(n):
dict1.setdefault(r[i],0)
dict1[r[i]]+=1
for i in range(m):
dict2.setdefault(c[i],0)
dict2[c[i]]+=1
x,y=0,0
ans=1
mod=10**9+7
for i in range(n*m,0,-1):
dy=dict1.get(i,0)
dx=dict2.get(i,0)
if dx*dy==1:
x+=1
y+=1
elif dx==0 and dy==1:
ans*=x
y+=1
elif dy==0 and dx==1:
ans*=y
x+=1
else:
ans*=(x*y-(n*m-i))
ans%=mod
print(ans%mod)
``` | instruction | 0 | 41,039 | 5 | 82,078 |
Yes | output | 1 | 41,039 | 5 | 82,079 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
import sys
from bisect import bisect_left
sys.setrecursionlimit(10 ** 7)
input = sys.stdin.readline
f_inf = float('inf')
mod = 10 ** 9 + 7
def resolve():
n, m = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
if len(A) != len(set(A)) or len(B) != len(set(B)):
print(0)
exit()
A.sort()
B.sort()
As = set(A)
Bs = set(B)
res = 1
for x in reversed(range(1, n * m + 1)):
if x in As and x in Bs:
continue
elif x in As:
res *= m - bisect_left(B, x)
elif x in Bs:
res *= n - bisect_left(A, x)
else:
s = m - bisect_left(B, x)
t = n - bisect_left(A, x)
res *= s * t - (n * m - x)
res %= mod
print(res)
if __name__ == '__main__':
resolve()
``` | instruction | 0 | 41,040 | 5 | 82,080 |
Yes | output | 1 | 41,040 | 5 | 82,081 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
N,M=map(int,input().split())
Y=[0]*N*M
X=[0]*N*M
z=1
for a in map(int,input().split()):
if Y[-a]:z=0
Y[-a]=1
for b in map(int,input().split()):
if X[-b]:z=0
X[-b]=1
h=w=0
MD=10**9+7
for i in range(N*M):
z*=[h*w-i,h,w,1][Y[i]*2+X[i]]
z%=MD
h+=Y[i]
w+=X[i]
print(z)
``` | instruction | 0 | 41,041 | 5 | 82,082 |
Yes | output | 1 | 41,041 | 5 | 82,083 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
MOD = int(1e9) + 7
def main():
buf = input()
buflist = buf.split()
N = int(buflist[0])
M = int(buflist[1])
buf = input()
buflist = buf.split()
A = list(map(int, buflist))
buf = input()
buflist = buf.split()
B = list(map(int, buflist))
A = list(reversed(list(sorted(A))))
B = list(reversed(list(sorted(B))))
A.append(0) # sentinel
B.append(0) # sentinel
pattern_count = 1
A_pointer = 0
B_pointer = 0
free_count = 0
for i in range(N * M, 0, -1):
if i == A[A_pointer] or i == B[B_pointer]:
if i == A[A_pointer] and i == B[B_pointer]:
free_count += A_pointer + B_pointer
A_pointer += 1
B_pointer += 1
elif i == A[A_pointer]:
free_count += B_pointer - 1
pattern_count *= B_pointer
A_pointer += 1
else:
free_count += A_pointer - 1
pattern_count *= A_pointer
B_pointer += 1
elif free_count == 0:
print(0) # impossible
return
else:
pattern_count *= free_count
free_count -= 1
pattern_count %= MOD
print(pattern_count)
if __name__ == '__main__':
main()
``` | instruction | 0 | 41,042 | 5 | 82,084 |
Yes | output | 1 | 41,042 | 5 | 82,085 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
n,m = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
if len(a) != len(list(set(a))):
print("0")
elif len(b) != len(list(set(b))):
print("0")
else:
a.sort(reverse=True)
b.sort(reverse=True)
a_c=0
b_c=0
ans = 1
MOD=1000000007
a_idx = 0
b_idx = 0
for i in range(n*m)[::-1] :
x=i+1
y=n*m - x
for tmp_a in a[a_idx:]:
if tmp_a >= x:
a_idx += 1
a_c += 1
else:
break
for tmp_b in b[b_idx:]:
if tmp_b >= x:
b_idx += 1
b_c += 1
else:
break
a_f=False
b_f=False
if x in a:
a_f = True
if x in b:
b_f = True
if a_f and b_f :
continue
elif a_f:
ans *= b_c
elif b_f:
ans *= a_c
else:
ans *= ((a_c*b_c)-y)
ans %= MOD
if ans == 0:
ans = 0
break
print(ans)
``` | instruction | 0 | 41,043 | 5 | 82,086 |
No | output | 1 | 41,043 | 5 | 82,087 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
n, m = map(int, input().split())
a = input().split()
b = input().split()
check = 1
free = 0
occupy_v = 0
occupy_h = 0
answer = 1
for i in range(n*m,0,-1):
tmp_v = -1
tmp_h = -1
for j in range(n):
if int(a[j]) == i:
tmp_v = j
occupy_v += 1
break
for j in range(m):
if int(b[j]) == i:
tmp_h = j
occupy_h += 1
break
if tmp_v!=-1 and tmp_h!=-1:
free += occupy_v-1 + occupy_h-1
elif tmp_v==-1 and tmp_h==-1:
answer *= free
free -= 1
else:
if tmp_h!=-1:
answer *= occupy_v
free += occupy_v-1
else:
answer *= occupy_h
free += occupy_h-1
if free < 0:
check = 0
break
if check == 1:
print(answer%1000000007)
else:
print(0)
``` | instruction | 0 | 41,044 | 5 | 82,088 |
No | output | 1 | 41,044 | 5 | 82,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
# -*- coding: utf-8 -*-
#
import math
import sys
import itertools
import numpy as np
# なんこか入力
n,m = map(int, input().split())
# 空白区切りの数列をリストに代入
a = [int(i) for i in input().split()]
b = [int(i) for i in input().split()]
c = []
a.sort()
b.sort()
if a[-1] != n*m or b[-1] != n*m:
print("0")
exit()
t=1
ax = 0
bx = 0
for i in range(n*m,0,-1):
if i in a and i in b:
ax += 1
bx += 1
elif i in a:
ax += 1
t = t * bx % (1000000007)
elif i in b:
bx += 1
t = t * ax % (1000000007)
else:
t = t * (ax*bx-n*m+i) % (1000000007)
print(t)
``` | instruction | 0 | 41,045 | 5 | 82,090 |
No | output | 1 | 41,045 | 5 | 82,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions:
* The largest among the values in the i-th row (1 \leq i \leq N) is A_i.
* The largest among the values in the j-th column (1 \leq j \leq M) is B_j.
For him, find the number of ways to write the numbers under these conditions, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 1000
* 1 \leq M \leq 1000
* 1 \leq A_i \leq N \times M
* 1 \leq B_j \leq N \times M
* A_i and B_j are integers.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_{N}
B_1 B_2 ... B_{M}
Output
Print the number of ways to write the numbers under the conditions, modulo 10^9 + 7.
Examples
Input
2 2
4 3
3 4
Output
2
Input
3 3
5 9 7
3 6 9
Output
0
Input
2 2
4 4
4 4
Output
0
Input
14 13
158 167 181 147 178 151 179 182 176 169 180 129 175 168
181 150 178 179 167 180 176 169 182 177 175 159 173
Output
343772227
Submitted Solution:
```
import bisect
MOD = 10**9+7
N,M = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
ans = 1
A.sort()
B.sort()
if not max(A) == max(B) == N*M:
print(0)
exit()
for i in range(N-1):
if A[i] == A[i+1]:
print(0)
exit()
for i in range(M-1):
if B[i] == B[i+1]:
print(0)
exit()
for i in range(N*M,0,-1):
a = bisect.bisect_left(A,i)
b = bisect.bisect_left(B,i)
if A[a] == B[b] == i:
continue
ans = (ans*((N-a)*(M-b)-(N*M-i)))%MOD
print(ans)
``` | instruction | 0 | 41,046 | 5 | 82,092 |
No | output | 1 | 41,046 | 5 | 82,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a positive integer n, let us define f(n) as the number of digits in base 10.
You are given an integer S. Count the number of the pairs of positive integers (l, r) (l \leq r) such that f(l) + f(l + 1) + ... + f(r) = S, and find the count modulo 10^9 + 7.
Constraints
* 1 \leq S \leq 10^8
Input
Input is given from Standard Input in the following format:
S
Output
Print the answer.
Examples
Input
1
Output
9
Input
2
Output
98
Input
123
Output
460191684
Input
36018
Output
966522825
Input
1000
Output
184984484
Submitted Solution:
```
def countDigit(n):
count = 0
while n != 0:
n //= 10
count+= 1
return count
# Driver Code
n = 345289467
print ("Number of digits : % d"%(countDigit(n)))
``` | instruction | 0 | 41,065 | 5 | 82,130 |
No | output | 1 | 41,065 | 5 | 82,131 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a positive integer n, let us define f(n) as the number of digits in base 10.
You are given an integer S. Count the number of the pairs of positive integers (l, r) (l \leq r) such that f(l) + f(l + 1) + ... + f(r) = S, and find the count modulo 10^9 + 7.
Constraints
* 1 \leq S \leq 10^8
Input
Input is given from Standard Input in the following format:
S
Output
Print the answer.
Examples
Input
1
Output
9
Input
2
Output
98
Input
123
Output
460191684
Input
36018
Output
966522825
Input
1000
Output
184984484
Submitted Solution:
```
def sum(a, n):
# map to keep a count of occurrences
cnt = dict()
# Traverse in the list from start to end
# number of times a[i] can be in a pair and
# to get the difference we subtract pre_sum.
ans = 0
pre_sum = 0
for i in range(n):
ans += (i * a[i]) - pre_sum
pre_sum += a[i]
# if the (a[i]-1) is present then
# subtract that value as f(a[i], a[i]-1)=0
if (a[i] - 1) in cnt:
ans -= cnt[a[i] - 1]
# if the (a[i]+1) is present then add that
# value as f(a[i], a[i]-1)=0 here we add
# as a[i]-(a[i]-1)<0 which would have been
# added as negative sum, so we add to remove
# this pair from the sum value
if (a[i] + 1) in cnt:
ans += cnt[a[i] + 1]
# keeping a counter for every element
if a[i] not in cnt:
cnt[a[i]] = 0
cnt[a[i]] += 1
return ans
# Driver Code
if __name__ == '__main__':
a = [1, 2, 3, 1, 3]
n = len(a)
print(sum(a, n))
``` | instruction | 0 | 41,066 | 5 | 82,132 |
No | output | 1 | 41,066 | 5 | 82,133 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a positive integer n, let us define f(n) as the number of digits in base 10.
You are given an integer S. Count the number of the pairs of positive integers (l, r) (l \leq r) such that f(l) + f(l + 1) + ... + f(r) = S, and find the count modulo 10^9 + 7.
Constraints
* 1 \leq S \leq 10^8
Input
Input is given from Standard Input in the following format:
S
Output
Print the answer.
Examples
Input
1
Output
9
Input
2
Output
98
Input
123
Output
460191684
Input
36018
Output
966522825
Input
1000
Output
184984484
Submitted Solution:
```
define(n)
for int i in range(0,9)
print(" ")
if (l>9)
print("n+l digits");
else:
for(r>l)
print("r-l+n digits");
``` | instruction | 0 | 41,067 | 5 | 82,134 |
No | output | 1 | 41,067 | 5 | 82,135 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6
2
3
1
1
4
2
Output
Yes
Yes
Yes
No
Yes
No | instruction | 0 | 41,143 | 5 | 82,286 |
"Correct Solution:
```
c=p=0;b=[0]*1000000
for _ in range(int(input())):
x=int(input())
if (c==x and p!=x) or b[0]==1 or c>x:print('No');continue
print('Yes')
if x>=1000000:continue
p+=1;b[x]+=1
while b[x]>1:p-=1;b[x]-=2;b[x-1]+=1;x-=1
while b[c+1]==1 and c<999999:c+=1
``` | output | 1 | 41,143 | 5 | 82,287 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
6
2
3
1
1
4
2
Output
Yes
Yes
Yes
No
Yes
No | instruction | 0 | 41,144 | 5 | 82,288 |
"Correct Solution:
```
n = int(input())
bits = set()
c1 = 0
count = 0
ans = []
for i in range(n):
x = int(input())
if x in bits:
y = x
while c1 < y and y in bits:
y -= 1
if y <= c1:
y = 0
if y == 0 and count != x:
c1 = max(x, c1)
ans.append("No")
else:
bits.add(y)
ans.append("Yes")
count += 1
if y == 0:
if i <= n-2:
ans.append("No\n"*(n-2-i) + "No")
break
for i in range(y+1, x+1):
bits.remove(i)
count -= 1
else:
bits.add(x)
count += 1
ans.append("Yes")
print("\n".join(ans))
``` | output | 1 | 41,144 | 5 | 82,289 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,186 | 5 | 82,372 |
"Correct Solution:
```
n = int(input())
line = list(map(int, input().split()))
print(*line[::-1])
``` | output | 1 | 41,186 | 5 | 82,373 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,187 | 5 | 82,374 |
"Correct Solution:
```
n=int(input())
a=input().split()
a.reverse()
print(" ".join(map(str,a)))
``` | output | 1 | 41,187 | 5 | 82,375 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,188 | 5 | 82,376 |
"Correct Solution:
```
a = int(input())
b = input().split()
c = b[::-1]
print(" ".join(c))
``` | output | 1 | 41,188 | 5 | 82,377 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,189 | 5 | 82,378 |
"Correct Solution:
```
(lambda _, s: print(*reversed(s.split())))(input(), input())
``` | output | 1 | 41,189 | 5 | 82,379 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,190 | 5 | 82,380 |
"Correct Solution:
```
s = input()
t = input().split()
t.reverse()
print(' '.join(t))
``` | output | 1 | 41,190 | 5 | 82,381 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,191 | 5 | 82,382 |
"Correct Solution:
```
n = int(input())
a = input().split()
a.reverse()
print(' '.join(a))
``` | output | 1 | 41,191 | 5 | 82,383 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,192 | 5 | 82,384 |
"Correct Solution:
```
n=input()
list=list(map(int, input().split()))
print(*list[::-1])
``` | output | 1 | 41,192 | 5 | 82,385 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3 | instruction | 0 | 41,193 | 5 | 82,386 |
"Correct Solution:
```
n = int(input())
an = list(map(int,input().split()[:n]))
print(*an[::-1])
``` | output | 1 | 41,193 | 5 | 82,387 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
input()
a = list((map(int,input().split())))
print(*a[::-1])
``` | instruction | 0 | 41,194 | 5 | 82,388 |
Yes | output | 1 | 41,194 | 5 | 82,389 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
n = input()
L = reversed(input().split())
print(' '.join(L))
``` | instruction | 0 | 41,195 | 5 | 82,390 |
Yes | output | 1 | 41,195 | 5 | 82,391 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
a=int(input())
c=list(map(int,input().split()))
c.reverse()
print(*c)
``` | instruction | 0 | 41,196 | 5 | 82,392 |
Yes | output | 1 | 41,196 | 5 | 82,393 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
num = input()
print(" ".join(reversed(input().split())))
``` | instruction | 0 | 41,197 | 5 | 82,394 |
Yes | output | 1 | 41,197 | 5 | 82,395 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
a.sort()
print(a)
``` | instruction | 0 | 41,198 | 5 | 82,396 |
No | output | 1 | 41,198 | 5 | 82,397 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
num=int(input())
input_data = [int(i) for i in input().split()]
input_data.reverse()
print("{}".format(input_data[0]),end='')
for i in range(1,num):
print(" {}".format(input_data[i]))
#print('\n')
``` | instruction | 0 | 41,199 | 5 | 82,398 |
No | output | 1 | 41,199 | 5 | 82,399 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence and prints it in the reverse order.
Note
解説
Constraints
* n ≤ 100
* 0 ≤ ai < 1000
Input
The input is given in the following format:
n
a1 a2 . . . an
n is the size of the sequence and ai is the ith element of the sequence.
Output
Print the reversed sequence in a line. Print a single space character between adjacent elements (Note that your program should not put a space character after the last element).
Examples
Input
5
1 2 3 4 5
Output
5 4 3 2 1
Input
8
3 3 4 4 5 8 7 9
Output
9 7 8 5 4 4 3 3
Submitted Solution:
```
n = int(input())
l = list(map(int, input().split()))
for i in l[::-1]:
print("%d " %i, end="")
print()
``` | instruction | 0 | 41,200 | 5 | 82,400 |
No | output | 1 | 41,200 | 5 | 82,401 |
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