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 |
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Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,952 | 5 | 149,904 |
"Correct Solution:
```
r,c = map(int,input().split())
a =[]
for i in range(r) :
a.append(list(map(int,input().split())))
a[i].append(sum(a[i]))
b = list(map(sum,zip(*a)))
for i in range(r) :
print(*a[i])
print(*b)
``` | output | 1 | 74,952 | 5 | 149,905 |
Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,953 | 5 | 149,906 |
"Correct Solution:
```
import functools, operator
r,c = tuple(int(n) for n in input().split())
A = [[int(a) for a in input().split()] for i in range(r)]
for a in A:
a.append(sum(a))
R = [functools.reduce(operator.add, x) for x in zip(*A)]
A.append(R)
for j in A:
print(" ".join(map(str,j)))
``` | output | 1 | 74,953 | 5 | 149,907 |
Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,954 | 5 | 149,908 |
"Correct Solution:
```
r,c=map(int,input().split())
a=[[int(i) for i in input().split()]for _ in range(r)]
y=[sum(i) for i in zip(*a)]
for i in range(r):
print(*a[i],sum(a[i]))
print(*y,sum(y))
``` | output | 1 | 74,954 | 5 | 149,909 |
Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,955 | 5 | 149,910 |
"Correct Solution:
```
r, c = map(int, input().split())
l = []
for i in range(r):
l.append([int(j) for j in input().split()])
l[i].append(sum(l[i]))
l.append([sum(k) for k in zip(*l)])
for v in l:
print(*v)
``` | output | 1 | 74,955 | 5 | 149,911 |
Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,956 | 5 | 149,912 |
"Correct Solution:
```
r, c = map(int, input().split())
t = []
l = [0]*(c+1)
for _ in range(r):
*_r, = map(int, input().split())
_r.append(sum(_r))
t.append(_r)
l = [_l+__r for _l, __r in zip(l, _r)]
for _t in t:
print(*_t)
print(*l)
``` | output | 1 | 74,956 | 5 | 149,913 |
Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,957 | 5 | 149,914 |
"Correct Solution:
```
r,c = map(int, input().split())
s=[]
T=[]
t=0
for k in range(r):
x = list(map(int, input().split()))
x.append(sum(x))
s.append(x)
for i in range(c+1):
t=0
for j in range(r):
t += s[j][i]
T.append(t)
s.append(T)
for p in range(r+1):
print(*s[p])
``` | output | 1 | 74,957 | 5 | 149,915 |
Provide a correct Python 3 solution for this coding contest problem.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56 | instruction | 0 | 74,958 | 5 | 149,916 |
"Correct Solution:
```
r, c = list(map(int, input().split()))
a = []
for i in range(r):
a.append(list(map(int, input().split())))
a[i] += [sum(a[i])]
print(*a[i])
a = list(zip(*a))
for i in range(c):
print(sum(a[i]), end=" ")
print(sum(a[c]))
``` | output | 1 | 74,958 | 5 | 149,917 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
r,c=map(int,input().split())
w=[0]*c
q=[]
for i in range(r):
b=input().split()
e=[int(s) for s in b]
q.append(e)
for i in range(r):
for j in range(c):
w[j]+=q[i][j]
print(q[i][j],end=' ')
print(sum(q[i]))
for j in range(c):
print(w[j],end=' ')
print(sum(w))
``` | instruction | 0 | 74,959 | 5 | 149,918 |
Yes | output | 1 | 74,959 | 5 | 149,919 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
r,c = map(int, input().split())
fields = []
colsum = [0]*(c+1)
for i in range(r):
A = list(map(int, input().split()))
row = A + [sum(A)]
fields.append(row)
for i,e in enumerate(row):
colsum[i] += e
fields.append(colsum)
for i in range(r+1):
print(*fields[i])
``` | instruction | 0 | 74,960 | 5 | 149,920 |
Yes | output | 1 | 74,960 | 5 | 149,921 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
r, c = (int(i) for i in input().split())
table = tuple([int(x) for x in input().split()] for _ in range(r))
for cols in table:
cols.append(sum(cols))
print(*cols)
sums = tuple(sum(table[y][x] for y in range(r)) for x in range(c + 1))
print(*sums)
``` | instruction | 0 | 74,961 | 5 | 149,922 |
Yes | output | 1 | 74,961 | 5 | 149,923 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
n,m=map(int,input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
a[i]+=[sum(a[i])]
print(*a[i])
a=list(zip(*a[::-1]))
for i in range(m):print(sum(a[i]),end=' ')
print(sum(a[m]))
``` | instruction | 0 | 74,962 | 5 | 149,924 |
Yes | output | 1 | 74,962 | 5 | 149,925 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
r,c = map(int,input().split(' '))
arr = [[0 for i in range(c+1)] for i in range(r+1)]
for i in range(r):
row = list(map(int,input().split(' ')))
for j in range(c):
arr[i][j] = row[j]
for i in range(r):
for j in range(c):
arr[i][-1] += arr[i][j]
for i in range(c):
for j in range(r):
arr[-1][i] += arr[j][i]
for i in range(r+1):
arr[-1][-1] += arr[-1][i]
for i in range(c):
for j in range(r+1):
print(arr[i][j],end = ' ')
print(arr[i][-1])
``` | instruction | 0 | 74,963 | 5 | 149,926 |
No | output | 1 | 74,963 | 5 | 149,927 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
r, c = map(int, input().split())
mat = []
for i in range(r):
mat.append(list(map(int, input().split())))
mat.append([])
for x in range(r):
rsum = 0
for y in range(c):
rsum += mat[x][y]
mat[x].append(rsum)
for x in range(c):
csum = 0
for y in range(r):
csum += mat[y][x]
mat[c].append(csum)
for x in range(r+1):
for y in range(c):
print("{0} ".format(mat[x][y]), end = '')
print(mat[x][c])
``` | instruction | 0 | 74,964 | 5 | 149,928 |
No | output | 1 | 74,964 | 5 | 149,929 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
li = list(map(int,input().split()))
mtx = [[] for _ in range(li[0])]
li_sum = []
for i in range(li[0]):
a = input()
mtx[i] = list(map(int,a.split()))
print(a,end='')
print(' ' ,sum(mtx[i]),sep='')
for j in range(li[j]):
li_sum[j] += mtx[i][j]
li_sum[j] += sum(mtx[i])
print(' '.join(map(str,li_sum)))
``` | instruction | 0 | 74,965 | 5 | 149,930 |
No | output | 1 | 74,965 | 5 | 149,931 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to perform a simple table calculation.
Write a program which reads the number of rows r, columns c and a table of r × c elements, and prints a new table, which includes the total sum for each row and column.
Constraints
* 1 ≤ r, c ≤ 100
* 0 ≤ an element of the table ≤ 100
Input
In the first line, two integers r and c are given. Next, the table is given by r lines, each of which consists of c integers separated by space characters.
Output
Print the new table of (r+1) × (c+1) elements. Put a single space character between adjacent elements. For each row, print the sum of it's elements in the last column. For each column, print the sum of it's elements in the last row. Print the total sum of the elements at the bottom right corner of the table.
Example
Input
4 5
1 1 3 4 5
2 2 2 4 5
3 3 0 1 1
2 3 4 4 6
Output
1 1 3 4 5 14
2 2 2 4 5 15
3 3 0 1 1 8
2 3 4 4 6 19
8 9 9 13 17 56
Submitted Solution:
```
N, M=map(int, input().split())
sum = 0
for n in range(N):
arr = list(map(int, input().split()))
arr.append(sum(arr))
print(" ".join(arr))
``` | instruction | 0 | 74,966 | 5 | 149,932 |
No | output | 1 | 74,966 | 5 | 149,933 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a rectangular table 3 × n. Each cell contains an integer. You can move from one cell to another if they share a side.
Find such path from the upper left cell to the bottom right cell of the table that doesn't visit any of the cells twice, and the sum of numbers written in the cells of this path is maximum possible.
Input
The first line contains an integer n (1 ≤ n ≤ 105) — the number of columns in the table.
Next three lines contain n integers each — the description of the table. The j-th number in the i-th line corresponds to the cell aij ( - 109 ≤ aij ≤ 109) of the table.
Output
Output the maximum sum of numbers on a path from the upper left cell to the bottom right cell of the table, that doesn't visit any of the cells twice.
Examples
Input
3
1 1 1
1 -1 1
1 1 1
Output
7
Input
5
10 10 10 -1 -1
-1 10 10 10 10
-1 10 10 10 10
Output
110
Note
The path for the first example:
<image>
The path for the second example:
<image>
Submitted Solution:
```
from sys import stdin as fin
# fin = open("ecr17d.in", "r")
n = int(fin.readline())
mtx = [list(map(int, fin.readline().split())) for i in range(3)]
d = [[0] * 9 for i in range(n)]
# u = [[0] * 9 for i in range(n)]
d[0] = [mtx[0][0], None, None, None, mtx[0][0] + mtx[1][0], None, None, None, mtx[0][0] + mtx[1][0] + mtx[2][0]]
check = lambda x, y: x + y if x is not None else None
def cmax(*args):
arr = (arg if arg is not None else float('-inf') for arg in args)
ans = max(arr)
if ans == float('-inf'):
return None
else:
return ans
for i in range(1, n):
var_0 = (check(cmax(d[i - 1][0], d[i - 1][1], d[i - 1][2]), mtx[0][i]),
check(cmax(d[i - 1][0], d[i - 1][1], d[i - 1][2]), mtx[0][i] + mtx[1][i]),
check(d[i - 1][0], mtx[0][i] + mtx[1][i] + mtx[1][i - 1] + mtx[2][i - 1] + mtx[2][i]),
check(cmax(d[i - 1][0], d[i - 1][1], d[i - 1][2]), mtx[0][i] + mtx[1][i] + mtx[2][i]))
var_1 = (check(cmax(d[i - 1][3], d[i - 1][4], d[i - 1][5]), mtx[1][i] + mtx[0][i]),
check(cmax(d[i - 1][3], d[i - 1][4], d[i - 1][5]), mtx[1][i]),
check(cmax(d[i - 1][3], d[i - 1][4], d[i - 1][5]), mtx[1][i] + mtx[2][i]))
var_2 = (check(cmax(d[i - 1][6], d[i - 1][7], d[i - 1][8]), mtx[2][i] + mtx[1][i] + mtx[0][i]),
check(cmax(d[i - 1][6], d[i - 1][7], d[i - 1][8]), mtx[2][i] + mtx[1][i]),
check(d[i - 1][6], mtx[2][i] + mtx[1][i] + mtx[1][i - 1] + mtx[0][i - 1] + mtx[0][i]),
check(cmax(d[i - 1][6], d[i - 1][7], d[i - 1][8]), mtx[2][i]))
d[i] = [var_0[0], var_1[0], cmax(var_2[0], var_2[2]), var_1[1], cmax(var_0[1], var_2[1]), 0, var_2[3], var_1[2], cmax(var_0[2], var_0[3])]
print(cmax(d[n - 1][6], d[n - 1][7], d[n - 1][8]))
``` | instruction | 0 | 75,550 | 5 | 151,100 |
No | output | 1 | 75,550 | 5 | 151,101 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a rectangular table 3 × n. Each cell contains an integer. You can move from one cell to another if they share a side.
Find such path from the upper left cell to the bottom right cell of the table that doesn't visit any of the cells twice, and the sum of numbers written in the cells of this path is maximum possible.
Input
The first line contains an integer n (1 ≤ n ≤ 105) — the number of columns in the table.
Next three lines contain n integers each — the description of the table. The j-th number in the i-th line corresponds to the cell aij ( - 109 ≤ aij ≤ 109) of the table.
Output
Output the maximum sum of numbers on a path from the upper left cell to the bottom right cell of the table, that doesn't visit any of the cells twice.
Examples
Input
3
1 1 1
1 -1 1
1 1 1
Output
7
Input
5
10 10 10 -1 -1
-1 10 10 10 10
-1 10 10 10 10
Output
110
Note
The path for the first example:
<image>
The path for the second example:
<image>
Submitted Solution:
```
from sys import stdin as fin
# fin = open("ecr17d.in", "r")
n = int(fin.readline())
mtx = [list(map(int, fin.readline().split())) for i in range(3)]
d = [[0] * 9 for i in range(n)]
d[0] = [mtx[0][0], 0, 0, 0, mtx[0][0] + mtx[1][0], 0, 0, 0, mtx[0][0] + mtx[1][0] + mtx[2][0]]
for i in range(1, n):
var_0 = (max(d[i - 1][0], d[i - 1][1], d[i - 1][2]) + mtx[0][i],
max(d[i - 1][0], d[i - 1][1], d[i - 1][2]) + mtx[0][i] + mtx[1][i],
d[i - 1][0] + mtx[0][i] + mtx[1][i] + mtx[1][i - 1] + mtx[2][i - 1] + mtx[2][i],
max(d[i - 1][0], d[i - 1][1], d[i - 1][2]) + mtx[0][i] + mtx[1][i] + mtx[2][i])
var_1 = (max(d[i - 1][3], d[i - 1][4], d[i - 1][5]) + mtx[1][i] + mtx[0][i],
max(d[i - 1][3], d[i - 1][4], d[i - 1][5]) + mtx[1][i],
max(d[i - 1][3], d[i - 1][4], d[i - 1][5]) + mtx[1][i] + mtx[2][i])
var_2 = (max(d[i - 1][6], d[i - 1][7], d[i - 1][8]) + mtx[2][i] + mtx[1][i] + mtx[0][i],
max(d[i - 1][6], d[i - 1][7], d[i - 1][8]) + mtx[2][i] + mtx[1][i],
d[i - 1][6] + mtx[2][i] + mtx[1][i] + mtx[1][i - 1] + mtx[0][i - 1] + mtx[0][i],
max(d[i - 1][6], d[i - 1][7], d[i - 1][8]) + mtx[2][i])
d[i] = [var_0[0], var_1[0], max(var_2[0], var_2[2]), var_1[1], max(var_0[1], var_2[1]), 0, var_2[3], var_1[2], max(var_0[2], var_0[3])]
print(max(d[i][6], d[i][7], d[i][8]))
``` | instruction | 0 | 75,551 | 5 | 151,102 |
No | output | 1 | 75,551 | 5 | 151,103 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,643 | 5 | 151,286 |
"Correct Solution:
```
#F
N,S=map(int,input().split())
A=list(map(int,input().split()))
mod=998244353
dp=[[0 for j in range(S+1)] for i in range(N+1)]
dp[0][0]+=1
for i in range(N):
for j in range(S+1):
dp[i+1][j]+=2*dp[i][j]
dp[i+1][j]%=mod
if j+A[i]<=S:
dp[i+1][j+A[i]]+=dp[i][j]
dp[i+1][j+A[i]]%=mod
print(dp[N][S])
``` | output | 1 | 75,643 | 5 | 151,287 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,644 | 5 | 151,288 |
"Correct Solution:
```
N,S=map(int,input().split())
A=[0]+list(map(int,input().split()))
H=[[0]*(S+1) for i in range(N+1)]
#H[x][y]:1,...xに制限したときに,和がyになるのは何個?
M=998244353
for x in range(N+1):
H[x][0]=1
for x in range(1,N+1):
for s in range(S+1):
if s>=A[x]:
H[x][s]=(2*H[x-1][s]+H[x-1][s-A[x]])%M
else:
H[x][s]=(2*H[x-1][s])%M
print(H[-1][-1])
``` | output | 1 | 75,644 | 5 | 151,289 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,645 | 5 | 151,290 |
"Correct Solution:
```
mod=998244353
n,s=map(int,input().split())
a=list(map(int,input().split()))
dp=[[0 for j in range(s+1)] for i in range(n)]
dp[0][0]=2
if a[0]<=s: dp[0][a[0]]=1
for i in range(1,n):
for j in range(s+1):
dp[i][j]+=(dp[i-1][j]*2)
if j-a[i]>=0: dp[i][j]+=dp[i-1][j-a[i]]
dp[i][j]%=mod
print(dp[n-1][s]%mod)
``` | output | 1 | 75,645 | 5 | 151,291 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,646 | 5 | 151,292 |
"Correct Solution:
```
n,s=map(int,input().split())
a=list(map(int,input().split()))
mod=998244353
dp=[[0 for i in range(s+1)] for j in range(n+1)]
dp[0][0]=1
for i in range(1,n+1):
see=a[i-1]
for j in range(s+1):
dp[i][j]=dp[i-1][j]*2
dp[i][j]%=mod
if see>j:
continue
dp[i][j]+=dp[i-1][j-see]
dp[i][j]%=mod
print(dp[-1][-1])
``` | output | 1 | 75,646 | 5 | 151,293 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,647 | 5 | 151,294 |
"Correct Solution:
```
n, s = map(int, input().split())
a = sorted(list(map(int, input().split())))
mod = 998244353
dp = [[0] * (s+1) for _ in range(n+1)]
dp[0][0] = 1
for i in range(1, n+1):
for j in range(s+1):
dp[i][j] += 2 * dp[i-1][j]
dp[i][j] %= mod
if j + a[i-1] <= s:
dp[i][j+a[i-1]] += dp[i-1][j]
dp[i][j+a[i-1]] %= mod
print(dp[-1][-1])
``` | output | 1 | 75,647 | 5 | 151,295 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,648 | 5 | 151,296 |
"Correct Solution:
```
n, s = map(int, input().split())
a = [int(i) for i in input().split()]
mod = 998244353
dp = [[0]*(s+1) for _ in range(n+1)]
dp[0][0] = 1
for i in range(n):
for k in range(s+1):
dp[i+1][k] += 2 * dp[i][k]
dp[i+1][k] %= mod
if k+a[i] <= s:
dp[i+1][k+a[i]] += dp[i][k]
dp[i+1][k+a[i]] %= mod
print(dp[n][s])
``` | output | 1 | 75,648 | 5 | 151,297 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,649 | 5 | 151,298 |
"Correct Solution:
```
N, S = map(int, input().split())
A = list(map(int, input().split()))
MOD = 998244353
dp = [0] * (S + 1)
dp[0] = 1
for i in range(N):
ai = A[i]
for j in range(S, -1, -1):
dp[j] = 2 * dp[j]
if j - ai >= 0:
dp[j] += dp[j - ai]
dp[j] %= MOD
print(dp[S])
``` | output | 1 | 75,649 | 5 | 151,299 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296 | instruction | 0 | 75,650 | 5 | 151,300 |
"Correct Solution:
```
def sep():
return map(int,input().strip().split(" "))
def lis():
return list(sep())
n,s=sep()
ar=lis()
ar.insert(0,0)
dp=[[0]*(s+2) for _ in range(n+2)]
dp[0][0]=1
N=998244353
for i in range(1,n+1):
for j in range(0,s+1):
dp[i][j]=(2*dp[i-1][j])%N
if j-ar[i]>=0:
dp[i][j]=(dp[i][j]+dp[i-1][j-ar[i]])%N
#print(dp)
print(dp[n][s])
``` | output | 1 | 75,650 | 5 | 151,301 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
N, S = map(int, input().split())
A = list(map(int, input().split()))
MOD = 998244353
dp = [[0]*(S+1) for i in range(N+1)]
dp[0][0] = 1
for i in range(N):
for j in range(S+1):
dp[i+1][j] = (dp[i][j]*2 + dp[i+1][j]) % MOD
if j + A[i] <= S:
dp[i+1][j+A[i]] = (dp[i][j] + dp[i+1][j+A[i]]) % MOD
print(dp[N][S])
``` | instruction | 0 | 75,651 | 5 | 151,302 |
Yes | output | 1 | 75,651 | 5 | 151,303 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
n,s,*a=map(int,open(0).read().split())
mod=998244353
d=[0]*(s+1)
d[0]=1
for x in a:
p=[0]*(s+1)
for i in range(s+1):
p[i]+=d[i]*2
if i+x<=s:
p[i+x]+=d[i]
p[i]%=mod
d=p
print(d[-1])
``` | instruction | 0 | 75,652 | 5 | 151,304 |
Yes | output | 1 | 75,652 | 5 | 151,305 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
n,s=map(int,input().split())
a=list(map(int,input().split()))
p=998244353
data=[[0]*(s+1) for i in range(n)]
gen=data[0]
gen[0]=2
if(a[0]<=s):
gen[a[0]]+=1
for i in range(1,n):
gen=data[i]
mae=data[i-1]
for j in range(s+1):
gen[j]=mae[j]*2
if(j-a[i]>=0 and j-a[i]<=s):
gen[j]+=mae[j-a[i]]
gen[j]%=p
print(data[-1][-1])
``` | instruction | 0 | 75,653 | 5 | 151,306 |
Yes | output | 1 | 75,653 | 5 | 151,307 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
mod = 998244353
n, s = map(int, input().split())
a = list(map(int, input().split()))
dp = [[0 for j in range(s+1)] for i in range(n+1)]
dp[0][0] = 1
for i in range(n):
for j in range(s+1):
dp[i+1][j] += 2*dp[i][j]
dp[i+1][j] %= mod
if j+a[i] <= s:
dp[i+1][j+a[i]] += dp[i][j]
dp[i+1][j+a[i]] %= mod
print(dp[n][s])
``` | instruction | 0 | 75,654 | 5 | 151,308 |
Yes | output | 1 | 75,654 | 5 | 151,309 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
N, S = map(int, input().split())
A = list( map( int,input().split() ) )
base = 998244353
# DP-table : [#Ele.][Sum]
dp = [[0 for j in range(S+1)] for i in range(N+1)]
#Initialize:
dp[0][0] = 1
for i in range(N):#Each A[i]
temp = [[0 for k in range(S+1)] for j in range(N+1)]
#Pick A[i]
for j in range(i+1):
for k in range(S+1):
if k + A[i] <= S:
temp[j+1][k + A[i]] += dp[j][k]
for j in range(i+2):
for k in range(S+1):
dp[j][k] += temp[j][k]
# for [i][S]
ans = 0
for i in range(1, N+1):
# temp = pow(2, N-i, mod=base) * dp[i][S]
temp = pow(2, N-i, base) * dp[i][S]
temp %= base
ans += temp
ans %= base
print(ans)
``` | instruction | 0 | 75,655 | 5 | 151,310 |
No | output | 1 | 75,655 | 5 | 151,311 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(5000)
MOD = 998244353 # type: int
def gen_f(N, A, S):
cache = [[None] * (S+1) for _ in range(N+1)]
def f(s, i):
if s < 0:
return 0
if i == N:
if s == 0:
return 1
return 0
if cache[i][s] is not None:
return cache[i][s]
ret = (2 * f(s, i+1) % MOD + f(s-A[i], i+1)) % MOD
cache[i][s] = ret
return ret
return f
def solve(N: int, S: int, A: "List[int]"):
f = gen_f(N, A, S)
return f(S, 0)
# Generated by 1.1.7.1 https://github.com/kyuridenamida/atcoder-tools
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
N = int(next(tokens)) # type: int
S = int(next(tokens)) # type: int
A = [int(next(tokens)) for _ in range(N)] # type: "List[int]"
print(solve(N, S, A))
def test():
import doctest
doctest.testmod()
if __name__ == '__main__':
#test()
main()
``` | instruction | 0 | 75,656 | 5 | 151,312 |
No | output | 1 | 75,656 | 5 | 151,313 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
#!/usr/bin/env python3
#%% for atcoder uniittest use
import sys
input= lambda: sys.stdin.readline().rstrip()
def pin(type=int):return map(type,input().split())
def tupin(t=int):return tuple(pin(t))
def lispin(t=int):return list(pin(t))
#%%code
def resolve():
N,S=pin()
A=list(pin())
#print(A)
#dp[i]"s""n" i番めまで見る。n個使った。和がsになった2重の辞書…
dp=[dict()for i in range(N+1)]
#sを辞書として管理するとうまく配るDPが実装できるよね
dp[0].setdefault(0,dict())
dp[0][0].setdefault(0,1)
for i in range(N):#
kouho=A[i]
for s in dp[i]:
ref=dp[i][s]
for k,v in ref.items():
##print(k,v)
#saiyousinai
dp[i+1].setdefault(s,dict())
dp[i+1][s].setdefault(k,0)
dp[i+1][s][k]+=v
#saiyou
x=s+kouho
##print(x)
if x<=S:
dp[i+1].setdefault(x,dict())
dp[i+1][x].setdefault(k+1,0)
dp[i+1][x][k+1]+=v
temp=(dp[-1][S])
ans=0
for p,q in temp.items():
if N-p>=0:
ans+=q*(2**(N-p))
print(ans)
#%%submit!
resolve()
``` | instruction | 0 | 75,657 | 5 | 151,314 |
No | output | 1 | 75,657 | 5 | 151,315 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N and another positive integer S.
For a non-empty subset T of the set \\{1, 2, \ldots , N \\}, let us define f(T) as follows:
* f(T) is the number of different non-empty subsets \\{x_1, x_2, \ldots , x_k \\} of T such that A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(T) over all 2^N-1 subsets T of \\{1, 2, \ldots , N \\}. Since the sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(T) modulo 998244353.
Examples
Input
3 4
2 2 4
Output
6
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
3296
Submitted Solution:
```
def main():
import sys
mod = 998244353
def input(): return sys.stdin.readline().rstrip()
n,s = map(int, input().split())
a = list(map(int, input().split()))
dp = [0]*(s+1)
dp[0] = 1
import numpy as np
dp = np.array(dp)
for i in range(n):
dp[a[i]:] = (2*dp[a[i]:]%mod + dp[:-a[i]])%mod
dp[0] *=2
print(dp[-1])
if __name__ == '__main__':
main()
``` | instruction | 0 | 75,658 | 5 | 151,316 |
No | output | 1 | 75,658 | 5 | 151,317 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,659 | 5 | 151,318 |
"Correct Solution:
```
n=int(input())
p=list(map(int,input().split()))
c=0
d=p[0]
for i in range(n):
if p[i]<= d:
d=p[i]
c+=1
print(c)
``` | output | 1 | 75,659 | 5 | 151,319 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,660 | 5 | 151,320 |
"Correct Solution:
```
n = int(input())
p = list(map(int, input().split()))
ans = 0
for i in p:
if i <= p[0]:
p[0] = i
ans += 1
print(ans)
``` | output | 1 | 75,660 | 5 | 151,321 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,661 | 5 | 151,322 |
"Correct Solution:
```
n=int(input())
ans=0
k=10**6
p=list(map(int,input().split()))
for i in range(n):
k=min(k,p[i])
if k==p[i]:
ans+=1
print(ans)
``` | output | 1 | 75,661 | 5 | 151,323 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,662 | 5 | 151,324 |
"Correct Solution:
```
n=int(input())
p=list(map(int,input().split()))
ans=0
m=p[0]
for x in p:
m=min(x,m)
if x==m:
ans+=1
print(ans)
``` | output | 1 | 75,662 | 5 | 151,325 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,663 | 5 | 151,326 |
"Correct Solution:
```
N = int(input())
P = map(int, input().split())
m = N + 1
ans = 0
for p in P:
if p < m:
ans += 1
m = min(m, p)
print(ans)
``` | output | 1 | 75,663 | 5 | 151,327 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,664 | 5 | 151,328 |
"Correct Solution:
```
f=input
f(); l=map(int,f().split())
a,m=0,200001
for i in l:
if i<m: m=i; a+=1
print(a)
``` | output | 1 | 75,664 | 5 | 151,329 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1 | instruction | 0 | 75,665 | 5 | 151,330 |
"Correct Solution:
```
n,*p=map(int,open(0).read().split())
_min=max(p)
cnt=0
for i in p:
_min=min(_min,i)
if i>_min:
cnt+=1
print(n-cnt)
``` | output | 1 | 75,665 | 5 | 151,331 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
n,*p=map(int,open(0).read().split())
m=n+1
ans=0
for x in p:
if m>x:
ans+=1
m=x
print(ans)
``` | instruction | 0 | 75,667 | 5 | 151,334 |
Yes | output | 1 | 75,667 | 5 | 151,335 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
n = int(input())
l = map(int,input().split())
ans = 0
for i in (l):
if n >= i:
ans += 1
n = i
print(ans)
``` | instruction | 0 | 75,668 | 5 | 151,336 |
Yes | output | 1 | 75,668 | 5 | 151,337 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
n=int(input())
l=map(int,input().split())
ans=0
m=n+1
for i in l:
if i<m:
ans+=1
m=i
print(ans)
``` | instruction | 0 | 75,669 | 5 | 151,338 |
Yes | output | 1 | 75,669 | 5 | 151,339 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
N=int(input())
P=list(map(int,input().split()))
b=N
a=0
for i in range(N):
if P[i]<=b:
b=P[i]
a+=1
print(a)
``` | instruction | 0 | 75,670 | 5 | 151,340 |
Yes | output | 1 | 75,670 | 5 | 151,341 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
n = int(input())
p = list(map(int, input().split()))
ans = 0
for i in range(n):
s = min(p[:i+1])
if p[i] <= s:
ans += 1
print(ans)
``` | instruction | 0 | 75,671 | 5 | 151,342 |
No | output | 1 | 75,671 | 5 | 151,343 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
N = int(input())
P = [int(x) for x in input().split()]
j = 0
count = 0
if len(P) <= N:
for i in P:
if i <= N:
try:
j = j + 1
i = i - P[j]
if i > 0:
count = count + 1
except:
count = count + 1
print(count)
``` | instruction | 0 | 75,672 | 5 | 151,344 |
No | output | 1 | 75,672 | 5 | 151,345 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
n = int(input())
p = list(map(int, input().split()))
ans = 1
for i in range(1, n):
if p[i] <= min(p[:i]):
ans += 1
print(ans)
``` | instruction | 0 | 75,673 | 5 | 151,346 |
No | output | 1 | 75,673 | 5 | 151,347 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a permutation P_1, \ldots, P_N of 1, \ldots, N. Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:
* For any integer j (1 \leq j \leq i), P_i \leq P_j.
Constraints
* 1 \leq N \leq 2 \times 10^5
* P_1, \ldots, P_N is a permutation of 1, \ldots, N.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
P_1 ... P_N
Output
Print the number of integers i that satisfy the condition.
Examples
Input
5
4 2 5 1 3
Output
3
Input
4
4 3 2 1
Output
4
Input
6
1 2 3 4 5 6
Output
1
Input
8
5 7 4 2 6 8 1 3
Output
4
Input
1
1
Output
1
Submitted Solution:
```
def main():
N = int(input())
P = tuple(map(int,input().split()))
a = 0
for i in range(N):
hantei = 0
if i == 0:
pass
else:
if min(P[:i]) < P[i]:
hantei = 1
if hantei == 0:
a += 1
print(a)
if __name__ == '__main__':
main()
``` | instruction | 0 | 75,674 | 5 | 151,348 |
No | output | 1 | 75,674 | 5 | 151,349 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, arranged in a row in this order.
You can perform the following operation on this integer sequence any number of times:
Operation: Choose an integer i satisfying 1 \leq i \leq N-1. Multiply both A_i and A_{i+1} by -1.
Let B_1, B_2, ..., B_N be the integer sequence after your operations.
Find the maximum possible value of B_1 + B_2 + ... + B_N.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^5
* -10^9 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the maximum possible value of B_1 + B_2 + ... + B_N.
Examples
Input
3
-10 5 -4
Output
19
Input
5
10 -4 -8 -11 3
Output
30
Input
11
-1000000000 1000000000 -1000000000 1000000000 -1000000000 0 1000000000 -1000000000 1000000000 -1000000000 1000000000
Output
10000000000 | instruction | 0 | 75,691 | 5 | 151,382 |
"Correct Solution:
```
n = int(input())
A = list(map(int, input().split()))
cnt = sum(1 for a in A if a < 0)
ls = list(map(abs, A))
ans = sum(ls)
if cnt % 2 == 0:
print(ans)
else:
print(ans-2*min(ls))
``` | output | 1 | 75,691 | 5 | 151,383 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, arranged in a row in this order.
You can perform the following operation on this integer sequence any number of times:
Operation: Choose an integer i satisfying 1 \leq i \leq N-1. Multiply both A_i and A_{i+1} by -1.
Let B_1, B_2, ..., B_N be the integer sequence after your operations.
Find the maximum possible value of B_1 + B_2 + ... + B_N.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^5
* -10^9 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the maximum possible value of B_1 + B_2 + ... + B_N.
Examples
Input
3
-10 5 -4
Output
19
Input
5
10 -4 -8 -11 3
Output
30
Input
11
-1000000000 1000000000 -1000000000 1000000000 -1000000000 0 1000000000 -1000000000 1000000000 -1000000000 1000000000
Output
10000000000 | instruction | 0 | 75,692 | 5 | 151,384 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
abs_a = list(map(abs, a))
print(sum(abs_a) if len([i for i in a if i < 0]) % 2 == 0 else sum(abs_a) - 2 * min(abs_a))
``` | output | 1 | 75,692 | 5 | 151,385 |
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