message stringlengths 2 16.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 575 109k | cluster float64 16 16 | __index_level_0__ int64 1.15k 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
n,x,*a = map(int,open(0).read().split())
b = [0]*n
b[0] = min(x,a[0])
for i in range(n-1):
b[i+1] = max(min(x-b[i],a[i+1]),0)
b[i] = min(b[i],x-b[i+1])
ans = 0
for i,j in zip(a,b):
ans += i-j
print(ans)
``` | instruction | 0 | 100,216 | 16 | 200,432 |
Yes | output | 1 | 100,216 | 16 | 200,433 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
N,x=list(map(int,input().split()))
A=list(map(int,input().split()))
cnt=0
pre=0
for i in range(N):
dif=max(A[i]+pre-x,0)
cnt+=dif
A[i]-=dif
pre=A[i]
print(cnt)
``` | instruction | 0 | 100,217 | 16 | 200,434 |
Yes | output | 1 | 100,217 | 16 | 200,435 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
N,x = map(int,input().split())
A = list(map(int,input().split()))
ans = 0
for i in range(1,N):
y = max(A[i]+A[i-1]-x,0)
if A[i]>=y:
A[i] -= y
else:
A[i] = 0
ans += y
print(ans)
``` | instruction | 0 | 100,218 | 16 | 200,436 |
Yes | output | 1 | 100,218 | 16 | 200,437 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
N, x = map(int, input().split())
A = list(map(int, input().split()))
s = 0
for i in range(N - 1):
s = A[i] + A[i + 1] - x
ans += max(0, s)
if s > 0:
if s <= A[i + 1]:
A[i + 1] -= s
else:
A[i + 1] = 0
print(ans)
``` | instruction | 0 | 100,219 | 16 | 200,438 |
No | output | 1 | 100,219 | 16 | 200,439 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
n, x = map(int, input().split())
a = list(map(int, input().split()))
ans = 0
for i in range(n-1):
sum = a[i] + a[i+1]
if sum > x:
a[i+1] -= (sum - x)
ans += (sum - x)
print(ans)
``` | instruction | 0 | 100,220 | 16 | 200,440 |
No | output | 1 | 100,220 | 16 | 200,441 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
N,x=map(int, input().split(' '))
a = list(map(int, input().split(' ')))
wa = [a[0]]+[a[i]+a[i+1] for i in range(N-1)]+[a[-1]]
ans = 0
for i in range(N):
print(i, a,wa,ans)
if wa[i] <= x:
continue
if a[i] >= x:
ans += wa[i]-x
a[i] -= wa[i]-x
wa[i] -= wa[i]-x
wa[i+1] -= wa[i+1]-x
continue
if a[i] < x:
ans += wa[i]-x
a[i] = 0
a[i] = x
wa[i] = x
print(ans)
``` | instruction | 0 | 100,221 | 16 | 200,442 |
No | output | 1 | 100,221 | 16 | 200,443 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a row. Initially, the i-th box from the left contains a_i candies.
Snuke can perform the following operation any number of times:
* Choose a box containing at least one candy, and eat one of the candies in the chosen box.
His objective is as follows:
* Any two neighboring boxes contain at most x candies in total.
Find the minimum number of operations required to achieve the objective.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i ≤ 10^9
* 0 ≤ x ≤ 10^9
Input
The input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the minimum number of operations required to achieve the objective.
Examples
Input
3 3
2 2 2
Output
1
Input
6 1
1 6 1 2 0 4
Output
11
Input
5 9
3 1 4 1 5
Output
0
Input
2 0
5 5
Output
10
Submitted Solution:
```
import sys
N, x = map(int, sys.stdin.readline().strip().split())
A = list(map(int, sys.stdin.readline().strip().split()))
ans = 0
tmp_sum = A[0]
for i in range(N-1):
tmp_sum += A[i+1]
# print("tmp_sum", tmp_sum)
need = tmp_sum - x
if need > 0:
ans += need
if A[i+1] >= need:
A[i+1] -= need
tmp_sum -= need
else:
need -= A[i+1]
A[i+1] = 0
if need > A[i]:
# 明示的には書かれていないが、
# 制約になっていてこのパターンはないはず
print("something wrong")
sys.exit()
else:
A[i] -= need
# print("ans", ans)
# print("A[i]", A[i])
tmp_sum -= A[i]
print(ans)
``` | instruction | 0 | 100,222 | 16 | 200,444 |
No | output | 1 | 100,222 | 16 | 200,445 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,920 | 16 | 201,840 |
"Correct Solution:
```
N = int(input())
a = list(map(int, input().split()))
t = 0
for e in a:
t = t^e
print(*[e ^ t for e in a])
``` | output | 1 | 100,920 | 16 | 201,841 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,921 | 16 | 201,842 |
"Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
k = 0
for i in a:
k ^= i
for i in range(n):
print(k ^ a[i])
``` | output | 1 | 100,921 | 16 | 201,843 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,922 | 16 | 201,844 |
"Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
t = 0
for e in a:
t ^=e #^=は排他的論理和
print(*[e ^ t for e in a])
``` | output | 1 | 100,922 | 16 | 201,845 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,923 | 16 | 201,846 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
m=0
for i in range(n):
m=m^a[i]
print(*[a[i]^m for i in range(n)])
``` | output | 1 | 100,923 | 16 | 201,847 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,924 | 16 | 201,848 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
b = a[0]
for v in a[1:]:
b ^= v
print(*map(lambda x: x ^ b, a))
``` | output | 1 | 100,924 | 16 | 201,849 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,925 | 16 | 201,850 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
s = 0
for ai in a:
s ^= ai
print(*[s ^ ai for ai in a])
``` | output | 1 | 100,925 | 16 | 201,851 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,926 | 16 | 201,852 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
cnt = 0
for i in a:
cnt ^= i
for i in a:
print(cnt ^ i)
``` | output | 1 | 100,926 | 16 | 201,853 |
Provide a correct Python 3 solution for this coding contest problem.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22 | instruction | 0 | 100,927 | 16 | 201,854 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
x = 0
for ai in a:
x ^= ai
print(' '.join([str(ai ^ x) for ai in a]))
``` | output | 1 | 100,927 | 16 | 201,855 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
n=int(input())
l=list(map(int, input().split()))
x=0
for i in l:
x=x^i
for i in l:
print(x^i,end=" ")
print()
``` | instruction | 0 | 100,928 | 16 | 201,856 |
Yes | output | 1 | 100,928 | 16 | 201,857 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
N = int(input())
A = list(map(int,input().split()))
X = 0
for a in A:
X ^= a
print(*[X^a for a in A])
``` | instruction | 0 | 100,929 | 16 | 201,858 |
Yes | output | 1 | 100,929 | 16 | 201,859 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
n = int(input())
aa = list(map(int, input().split()))
tot = 0
for a in aa:
tot ^= a
print(*[tot^a for a in aa])
``` | instruction | 0 | 100,930 | 16 | 201,860 |
Yes | output | 1 | 100,930 | 16 | 201,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
n = int(input())
A = list(map(int, input().split()))
s = 0
for a in A:
s ^= a
for a in A:
print(s^a, "", end="")
``` | instruction | 0 | 100,931 | 16 | 201,862 |
Yes | output | 1 | 100,931 | 16 | 201,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
acount = [0]*31
def binlist(x, acount):
anslist = [0]*31
tmp = 0
while x > 0:
if x % 2 == 1:
acount[tmp] += 1
anslist[tmp] = (x % 2)
x = x // 2
tmp += 1
return anslist
abin = []
for i in a:
abin.append(binlist(i, acount))
ans = []
for i in range(n):
ans.append([])
anscnt = 0
for li in abin:
tmp = 0
for i in li:
if acount[tmp] % 2 == 0:
ans[anscnt].append(i)
else:
if i == 0:
ans[anscnt].append(1)
else:
ans[anscnt].append(0)
tmp += 1
anscnt += 1
anscnt = 0
for li in ans:
ans10 = 0
tmp = 0
for i in li:
if i == 1:
ans10 += 2**tmp
tmp += 1
if anscnt == n-1:
print(ans10)
print("")
else:
print(ans10, end=" ")
anscnt += 1
``` | instruction | 0 | 100,932 | 16 | 201,864 |
No | output | 1 | 100,932 | 16 | 201,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
N = int(input())
a = list(map(int, input().split()))
b = [sum(a) ^ a[x] for x in range(N)]
print(' '.join(map(str, b)))
``` | instruction | 0 | 100,933 | 16 | 201,866 |
No | output | 1 | 100,933 | 16 | 201,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
N = int(input())
A = list(map(int, input().split()))
#A_bin = [bin(x)[2:] for x in A]
#A_bin = [bin(x) for x in A]
#maxlen = max([len(x) for x in A_bin])
#A_bin = [x.zfill(maxlen) for x in A_bin]
ans = ["" for _ in range(N)]
ans[0] = str(0)
A0 = A[0]
for i in range(1,N):
xor = bin(A0 ^ A[i])
ans[i] = str(int(xor,0))
print(" ".join(ans))
``` | instruction | 0 | 100,934 | 16 | 201,868 |
No | output | 1 | 100,934 | 16 | 201,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.
Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.
Recently, they learned the operation called xor (exclusive OR).
What is xor?
For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:
* When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.
For example, 3~\textrm{xor}~5 = 6.
They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.
We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i. Using this information, restore the integer written on the scarf of each Snuke Cat.
Constraints
* All values in input are integers.
* 2 \leq N \leq 200000
* N is even.
* 0 \leq a_i \leq 10^9
* There exists a combination of integers on the scarfs that is consistent with the given information.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print a line containing N integers separated with space.
The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.
If there are multiple possible solutions, you may print any of them.
Example
Input
4
20 11 9 24
Output
26 5 7 22
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
def f(x):
z=[0]*40
i=1
while x>0:
z[-i]=x%2
x=x//2
i+=1
return z
for i in range(n):
a[i]=f(a[i])
y=[0]*40
for i in range(40):
y[i]=sum(a[j][i] for j in range(n))%2
ans=[]
for i in range(n):
p=0
for j in range(40):
if y[-j-1]!=a[i][-j-1]:
p+=2**j
ans.append(p)
for i in range(n):
print(ans[i], end=" ")
``` | instruction | 0 | 100,935 | 16 | 201,870 |
No | output | 1 | 100,935 | 16 | 201,871 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,032 | 16 | 202,064 |
"Correct Solution:
```
import queue
h, w = map(int, input().split())
n = int(input())
a = list(map(int, input().split()))
b = queue.Queue()
for i, j in enumerate(a):
for _ in range(j):
b.put(i+1)
for i in range(h):
ans = []
for j in range(w):
ans += [b.get()]
if i%2 == 1:
ans = list(reversed(ans))
print(*ans)
``` | output | 1 | 101,032 | 16 | 202,065 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,033 | 16 | 202,066 |
"Correct Solution:
```
# coding: utf-8
# Your code here!
H,W=map(int,input().split())
N=int(input())
A=list(map(int,input().split()))
l=[]
for i in range(N):
l+=(([i+1]*A[i]))
#print(*l)
for i in range(H):
if i%2==0:
print(*l[0:W])
del l[:W]
else:
print(*l[0:W][::-1])
del l[:W]
``` | output | 1 | 101,033 | 16 | 202,067 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,034 | 16 | 202,068 |
"Correct Solution:
```
H, W = map(int, input().split())
N = int(input())
a = list(map(int, input().split()))
colors = []
for color in range(1, N + 1):
for j in range(a[color - 1]):
colors.append(str(color))
canvas = []
for i in range(H):
if i % 2 == 0:
canvas.append(colors[i * W: i * W + W])
else:
canvas.append(colors[i * W + W - 1: i * W - 1: -1])
for line in canvas:
print(' '.join(line))
``` | output | 1 | 101,034 | 16 | 202,069 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,035 | 16 | 202,070 |
"Correct Solution:
```
H, W = map(int,input().split())
N = int(input())
a = list(map(int,input().split()))
ans = [[0]*W for k in range(H)]
c = []
for k in range(N):
c += [k+1]*a[k]
now = 0
for k in range(H):
if k%2 == 0:
for l in range(W):
ans[k][l] = c[now]
now += 1
else:
for l in range(W-1,-1,-1):
ans[k][l] = c[now]
now += 1
for e in ans:
print(*e)
``` | output | 1 | 101,035 | 16 | 202,071 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,036 | 16 | 202,072 |
"Correct Solution:
```
h, w = (int(x) for x in input().split())
n = int(input())
A = list(int(x) for x in input().split())
B = []
for i, a in enumerate(A, start=1):
B += [i] * a
for i in range(h):
start, end = i * w, i * w + w
if i % 2 == 0:
print(*B[start:end])
else:
print(*B[start:end][::-1])
``` | output | 1 | 101,036 | 16 | 202,073 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,037 | 16 | 202,074 |
"Correct Solution:
```
H, W = map(int, input().split())
N = int(input())
A = [int(x) for x in input().split()]
board = [[0] * W for _ in range(H)]
colors = [i + 1 for i in range(N) for _ in range(A[i])]
for i in range(H):
if i % 2 == 0:
for j in range(W):
board[i][j] = colors[i * W + j]
else:
for j in range(W):
board[i][W-j-1] = colors[i * W + j]
for row in board:
print(*row)
``` | output | 1 | 101,037 | 16 | 202,075 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,038 | 16 | 202,076 |
"Correct Solution:
```
H, W = map(int, input().split())
N = int(input())
a = list(map(int, input().split()))
b = []
for i in range(N):
b += [i + 1] * a[i]
for i in range(H):
c = b[i * W:i * W + W]
if i % 2 == 1:
c = c[::-1]
print(" ".join(map(str, c)))
``` | output | 1 | 101,038 | 16 | 202,077 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1 | instruction | 0 | 101,039 | 16 | 202,078 |
"Correct Solution:
```
H, W = map(int, input().split())
N = int(input())
a = list(map(int, input().split()))
ans = []
for i in range(N):
ans.extend([i+1 for _ in range(a[i])])
ans = [ans[i:i+W] for i in range(0, H*W, W)]
for i in range(1, H, 2):
ans[i] = ans[i][::-1]
for r in ans:
print(' '.join(map(str,r)))
``` | output | 1 | 101,039 | 16 | 202,079 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
H,W=map(int,input().split())
N=int(input())
A = list(map(int,input().split()))
G = [[0 for _ in range(W)] for _ in range(H)]
h,w=0,0
flag=0
for j,a in enumerate(A):
for i in range(a):
if w==W:
h+=1;w-=1
flag=1
if w==-1:
h+=1;w+=1
flag=0
if flag==0:
G[h][w]=j+1
w+=1
else:
G[h][w]=j+1
w-=1
for g in G:
print(*g)
``` | instruction | 0 | 101,040 | 16 | 202,080 |
Yes | output | 1 | 101,040 | 16 | 202,081 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
h,w=map(int,input().split())
n=int(input())
a=list(map(int,input().split()))
color=[]
for i in range(n):
color+=[i+1]*a[i]
tmp=[]
tmp=[[0]*w for i in range(h)]
for i,aa in enumerate(color):
tmp[i//w][i%w]=color[i]
ans=[]
for i,t in enumerate(tmp):
if i%2==0:
ans.append(t)
else:
t.sort(reverse=True)
ans.append(t)
for aa in ans:
print(*aa)
``` | instruction | 0 | 101,041 | 16 | 202,082 |
Yes | output | 1 | 101,041 | 16 | 202,083 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
def main():
H, W = (int(_) for _ in input().split())
N = int(input())
A = [int(_) for _ in input().split()]
lst = []
for i, a in enumerate(A, 1):
lst += [i] * a
for i in range(H):
x = lst[i*W:(i+1)*W] if i%2 == 0 else lst[i*W:(i+1)*W][::-1]
print(*x)
return
if __name__ == '__main__':
main()
``` | instruction | 0 | 101,042 | 16 | 202,084 |
Yes | output | 1 | 101,042 | 16 | 202,085 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
h,w=map(int,input().split())
n=int(input())
c=list(map(int,input().split()))
d=[]
for i in range(1,n+1):
for j in range(c[i-1]):
d.append(i)
ansl=[[0]*w for i in range(h)]
for i in range(h):
if i%2==0:
for j in range(w):
ansl[i][j]=str(d[i*w+j])
else:
for j in range(w):
ansl[i][w-j-1]=str(d[i*w+j])
for j in ansl:
print(" ".join(j))
``` | instruction | 0 | 101,043 | 16 | 202,086 |
Yes | output | 1 | 101,043 | 16 | 202,087 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
H,W=map(int,input().split())
N=int(input())
A=list(map(int,input().split()))
nc=1
nct=A[0]
ans=[]
for y in range(H):
if y%2==0:
st=[]
for x in range(W):
nct-=1
st.append( str(nc) )
if nct==0 and nc!=N:
nct=A[nc]
nc+=1
# st = " ".join(st)
else:
st=[]
for x in range(W-1,-1,-1):
nct-=1
# st+=str(nc)
st.append( str(nc) )
if nct==0 and nc!=N:
nct=A[nc]
nc+=1
# st=" ".join(list(reversed(st)))
ans.append(list(reversed( st)) )
for y in range(H):
print(" ".join(list(map(str, ans[y]))))
``` | instruction | 0 | 101,044 | 16 | 202,088 |
No | output | 1 | 101,044 | 16 | 202,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
h,w = map(int,input().split())
n = int(input())
a = list(map(int,input().split()))
res = []
for _ in range(h):
res.append("")
line = 0
def insert(res,i,l):
if l %2 == 0:
res[l] = res[l] + str(i+1)
else:
res[l] = str(i+1) + res[l]
for i in range(0,n):
ammount=a[i]
while len(res[line]) < w and ammount > 0:
insert(res,i,line)
ammount -= 1
if len(res[line]) == w:
line += 1
while ammount >= w:
res[line] = str(i+1) * w
ammount -= w
line += 1
if ammount > 0:
res[line] = str(i+1) * ammount
length = len(res)
for i in range(length):
print(res[i])
``` | instruction | 0 | 101,045 | 16 | 202,090 |
No | output | 1 | 101,045 | 16 | 202,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
h, w = map(int, input().split())
n = int(input())
a = list(map(int, input().split()))
ans = [[0] * w for _ in range(h)]
num = 0
for x in range(n):
for y in range(a[x]):
i = num // w
if i:
j = w-1 - (num % w)
else:
j = num % w
ans[i][j] = x+1
num += 1
for i in range(h):
print(*ans[i])
``` | instruction | 0 | 101,046 | 16 | 202,092 |
No | output | 1 | 101,046 | 16 | 202,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. Snuke is painting these squares in colors 1, 2, ..., N. Here, the following conditions should be satisfied:
* For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.
* For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.
Find a way to paint the squares so that the conditions are satisfied. It can be shown that a solution always exists.
Constraints
* 1 ≤ H, W ≤ 100
* 1 ≤ N ≤ H W
* a_i ≥ 1
* a_1 + a_2 + ... + a_N = H W
Input
Input is given from Standard Input in the following format:
H W
N
a_1 a_2 ... a_N
Output
Print one way to paint the squares that satisfies the conditions. Output in the following format:
c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}
Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.
Examples
Input
2 2
3
2 1 1
Output
1 1
2 3
Input
3 5
5
1 2 3 4 5
Output
1 4 4 4 3
2 5 4 5 3
2 5 5 5 3
Input
1 1
1
1
Output
1
Submitted Solution:
```
H, W = map(int, input().split())
N = int(input())
*A, = map(int, input().split())
C = []
for i in range(1, N+1):
C += [i]*A[i-1]
ans = []
for i in range(H):
if i%2==0:
ans.append(C[i*H:i*H+W])
else:
ans.append(C[i*H:i*H+W][::-1])
ans = ''.join(map(lambda x: ' '.join(map(str, x))+'\n', ans))
print(ans[:-1])
``` | instruction | 0 | 101,047 | 16 | 202,094 |
No | output | 1 | 101,047 | 16 | 202,095 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,048 | 16 | 202,096 |
"Correct Solution:
```
N=int(input())
from math import factorial as fc
print(fc(N)%(10**9+7))
``` | output | 1 | 101,048 | 16 | 202,097 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,049 | 16 | 202,098 |
"Correct Solution:
```
import math
n = int(input())
print(math.factorial(n) % 1000000007)
``` | output | 1 | 101,049 | 16 | 202,099 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,050 | 16 | 202,100 |
"Correct Solution:
```
import math
i=int(input())
print(math.factorial(i)%(10**9+7))
``` | output | 1 | 101,050 | 16 | 202,101 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,051 | 16 | 202,102 |
"Correct Solution:
```
import math
print(math.factorial(int(input()))%int(1e9+7))
``` | output | 1 | 101,051 | 16 | 202,103 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,052 | 16 | 202,104 |
"Correct Solution:
```
import math
s = math.factorial(int(input())) % (10**9 + 7)
print(s)
``` | output | 1 | 101,052 | 16 | 202,105 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,053 | 16 | 202,106 |
"Correct Solution:
```
import math
print(math.factorial(int(input()))%(10**9+7))
``` | output | 1 | 101,053 | 16 | 202,107 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,054 | 16 | 202,108 |
"Correct Solution:
```
n=int(input())
p=1
m=10**9+7
for i in range(1,n+1):
p=p*i%m
print(p%m)
``` | output | 1 | 101,054 | 16 | 202,109 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974 | instruction | 0 | 101,055 | 16 | 202,110 |
"Correct Solution:
```
import math
n=int(input())
print(math.factorial(n)%(pow(10,9)+7))
``` | output | 1 | 101,055 | 16 | 202,111 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974
Submitted Solution:
```
import math
a=math.factorial(int(input()))
print(a%(10**9+7))
``` | instruction | 0 | 101,056 | 16 | 202,112 |
Yes | output | 1 | 101,056 | 16 | 202,113 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974
Submitted Solution:
```
import math
print ((math.factorial(int(input())))%((10**9)+7))
``` | instruction | 0 | 101,057 | 16 | 202,114 |
Yes | output | 1 | 101,057 | 16 | 202,115 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke loves working out. He is now exercising N times.
Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.
Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.
Constraints
* 1 ≤ N ≤ 10^{5}
Input
The input is given from Standard Input in the following format:
N
Output
Print the answer modulo 10^{9}+7.
Examples
Input
3
Output
6
Input
10
Output
3628800
Input
100000
Output
457992974
Submitted Solution:
```
N = int(input())
k=1
for i in range(1,N+1):
k=k*i%(10**9+7)
print(k)
``` | instruction | 0 | 101,058 | 16 | 202,116 |
Yes | output | 1 | 101,058 | 16 | 202,117 |
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