message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3 | instruction | 0 | 38,574 | 5 | 77,148 |
"Correct Solution:
```
l = input().split()
stack = []
for op in l:
if op.isdigit():
stack.append(int(op))
elif op == '+':
stack.append(stack.pop() + stack.pop())
elif op == '-':
stack.append(- stack.pop() + stack.pop())
elif op == '*':
stack.append(stack.pop() * stack.pop())
print(stack[-1])
``` | output | 1 | 38,574 | 5 | 77,149 |
Provide a correct Python 3 solution for this coding contest problem.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3 | instruction | 0 | 38,575 | 5 | 77,150 |
"Correct Solution:
```
a = list(input().split())
b = []
for i in a:
if i in '+-*':
n1 = b.pop()
n2 = b.pop()
b.append(str(eval(n2+i+n1)))
else:
b.append(i)
print(b.pop())
``` | output | 1 | 38,575 | 5 | 77,151 |
Provide a correct Python 3 solution for this coding contest problem.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3 | instruction | 0 | 38,576 | 5 | 77,152 |
"Correct Solution:
```
A = input().split()
G = []
j = 0
G.append(int(A[0]))
for i in range(1, len(A)):
if A[i] == "+":
G[j-1] += G[j]
G.pop()
j -= 1
elif A[i] == "-":
G[j-1] -= G[j]
G.pop()
j -= 1
elif A[i] == "*":
G[j-1] *= G[j]
G.pop()
j -= 1
else:
j += 1
G.append(int(A[i]))
print(G[0])
``` | output | 1 | 38,576 | 5 | 77,153 |
Provide a correct Python 3 solution for this coding contest problem.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3 | instruction | 0 | 38,577 | 5 | 77,154 |
"Correct Solution:
```
data = list(input().split(" "))
stack = []
for d in data:
if d == '+':
stack.append(stack.pop() + stack.pop())
elif d == '-':
stack.append(- stack.pop() + stack.pop())
elif d == '*':
stack.append(stack.pop() * stack.pop())
else:
stack.append(int(d))
print(stack[0])
``` | output | 1 | 38,577 | 5 | 77,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
import re
data = input().split(' ')
stack = []
for w in data:
if re.match(r'[0-9]', w):
stack.append(w)
# print(stack)
else:
r = stack.pop()
l = stack.pop()
stack.append(eval(str(l) + w + str(r)))
# print(stack)
print(stack[0])
``` | instruction | 0 | 38,578 | 5 | 77,156 |
Yes | output | 1 | 38,578 | 5 | 77,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
S = []
for x in input().split():
if x == "+":
S[-2] = S[-2] + S[-1]
S.pop(-1)
elif x == "-":
S[-2] = S[-2] - S[-1]
S.pop(-1)
elif x == "*":
S[-2] = S[-2] * S[-1]
S.pop(-1)
else:
S.append(int(x))
print(*S)
``` | instruction | 0 | 38,579 | 5 | 77,158 |
Yes | output | 1 | 38,579 | 5 | 77,159 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
l = input().split()
q = []
for e in l:
if e == '+':
q.append(q.pop() + q.pop())
elif e == '-':
q.append(-q.pop() + q.pop())
elif e == '*':
q.append(q.pop() * q.pop())
else:
q.append(int(e))
print(q[0])
``` | instruction | 0 | 38,580 | 5 | 77,160 |
Yes | output | 1 | 38,580 | 5 | 77,161 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
stack = []
for s in input().split():
if s == '+':
stack.append(stack.pop() + stack.pop())
elif s == '-':
stack.append(-stack.pop() + stack.pop())
elif s == '*':
stack.append(stack.pop() * stack.pop())
else:
stack.append(int(s))
print(stack[0])
``` | instruction | 0 | 38,581 | 5 | 77,162 |
Yes | output | 1 | 38,581 | 5 | 77,163 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
operas=input().split(" ")
while len(operas)>1:
i=0
while i<len(operas):
try:
operas[i]=int(operas[i])
except ValueError:
if operas[i]=="+":
operas[i]=int(operas[i-2])+int(operas[i-1])
elif operas[i]=="-":
operas[i]=int(operas[i-2])-int(operas[i-1])
else:
operas[i]=int(operas[i-2])*int(operas[i-1])
operas.pop(i-2)
operas.pop(i-2)
i+=1
print(operas[0])
``` | instruction | 0 | 38,582 | 5 | 77,164 |
No | output | 1 | 38,582 | 5 | 77,165 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
calc = input().split(" ")
nums = []
tmpB = 0
cnt = 0
subTotal = []
midTotal = []
Total = 0
STLcnt = 0
MTLcnt = 0
for i in range(len(calc)):
if calc[i] == "+":
subTotal.append(0)
for j in range(len(nums)):
subTotal[STLcnt] = subTotal[STLcnt] + nums[j]
STLcnt += 1
nums.clear()
elif calc[i] == "-":
subTotal.append(0)
for j in range(len(nums)):
if j == 0:
subTotal[STLcnt] = nums[j]
else:
subTotal[STLcnt] = subTotal[STLcnt] - nums[j]
STLcnt += 1
nums.clear()
elif calc[i] == "*":
if len(nums) == 0:
midTotal.append(0)
for j in range(len(subTotal)):
if j==0:
midTotal[MTLcnt] = subTotal[j]
else:
midTotal[MTLcnt] = midTotal[MTLcnt] * subTotal[j]
MTLcnt += 1
subTotal.clear()
STLcnt = 0
else:
subTotal.append(0)
for j in range(len(nums)):
if j==0:
subTotal[STLcnt] = nums[j]
else:
subTotal[STLcnt] = subTotal[STLcnt] * nums[j]
STLcnt += 1
nums.clear()
else:
nums.append(int(calc[i]))
cnt += 1
if len(midTotal) > 0:
print(" ".join(map(str,midTotal)))
else:
print(" ".join(map(str,subTotal)))
``` | instruction | 0 | 38,583 | 5 | 77,166 |
No | output | 1 | 38,583 | 5 | 77,167 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
import sys
class Stack:
def __init__(self, max):
self.max = max ##max???stack????????§??????
self.stack = list(range(max))
self.top = 0 ##???????????????????????????0
def initialize():
self.top = 0
def isEmpty():
return self.top == 0
def isFull():
return self.top >= self.max - 1
def push(self, value):
if isFull():
raise IndexError('?????????????????????')
else:
self.top += 1
self.stack[self.top] = value
def pop(self):
if isEmpty():
raise IndexError('??¢??????????????????')
else:
self.top -= 1
return self.stack[self.top + 1]
expr = input().split()
stack = Stack(100)
for i in expr:
try:
stack.push(int(i))
except:
b = stack.pop()
a = stack.pop()
if i == '*':
stack.push(a * b)
if i == '+':
stack.push(a + b)
if i == '-':
stack.push(a - b)
print(stack.pop())
``` | instruction | 0 | 38,584 | 5 | 77,168 |
No | output | 1 | 38,584 | 5 | 77,169 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notes
Template in C
Constraints
2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 109 ≤ values in the stack ≤ 109
Input
An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.
You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106
Output
Print the computational result in a line.
Examples
Input
1 2 +
Output
3
Input
1 2 + 3 4 - *
Output
-3
Submitted Solution:
```
import re
data = input().split()
stack = []
for elem in data:
if re.match('\d+', elem):
stack.append(int(elem))
else:
a = stack.pop()
b = stack.pop()
if elem == "+":
stack.append(b+a)
elif elem == "-":
stack.append(b-a)
elif elem == "*":
stack.append(b*a)
print(elem, stack)
print(stack[0])
``` | instruction | 0 | 38,585 | 5 | 77,170 |
No | output | 1 | 38,585 | 5 | 77,171 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,010 | 5 | 78,020 |
"Correct Solution:
```
# input
n = int(input())
matrix = []
a = n
while a>0:
x = []
x = input().split()
matrix.append(x)
a -= 1
# A
a = 0
while a<n:
b = 0
out = ''
while b<n:
if a == b:
if b == 0:
out = str(float(matrix[a][b]))
else:
out += ' ' + str(float(matrix[a][b]))
else:
if b == 0:
out = str((float(matrix[a][b]) + float(matrix[b][a]))/2)
else:
out += ' ' + str((float(matrix[a][b]) + float(matrix[b][a]))/2)
b += 1
print(out)
a += 1
# B
a = 0
while a<n:
b = 0
out = ''
while b<n:
if a == b:
if b == 0:
out = str(float(0))
else:
out += ' ' + str(float(0))
else:
if b == 0:
out = str((float(matrix[a][b]) - float(matrix[b][a]))/2)
else:
out += ' ' + str((float(matrix[a][b]) - float(matrix[b][a]))/2)
b += 1
print(out)
a += 1
``` | output | 1 | 39,010 | 5 | 78,021 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,011 | 5 | 78,022 |
"Correct Solution:
```
n = int(input())
l = []
l1 = []
l2 = []
for i in range(n):
k = list(map(int,input().split()))
l.append(k)
l1.append([0]*len(k))
l2.append([0]*len(k))
for i in range(n):
for j in range(n):
l1[i][j] = (l[i][j]+l[j][i])/2
l2[i][j] = (l[i][j]-l[j][i])/2
for i in range(n):
print(*l1[i])
for i in range(n):
print(*l2[i])
``` | output | 1 | 39,011 | 5 | 78,023 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,012 | 5 | 78,024 |
"Correct Solution:
```
n = int(input())
w = [None]*n
for i in range(n):
w[i] = [int(j) for j in input().strip().split(' ')]
for i in range(n):
for j in range(n):
val = w[i][j]
if (i != j):
val = (val+w[j][i])/2
print('{:.8f}'.format(val), end=' ')
print('')
for i in range(n):
for j in range(n):
val = 0
if (i != j):
val = w[i][j] - (w[i][j]+w[j][i])/2
print('{:.8f}'.format(val), end=' ')
print('')
``` | output | 1 | 39,012 | 5 | 78,025 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,013 | 5 | 78,026 |
"Correct Solution:
```
size = int(input())
w = []
for enu in range(size):
temp = input().split()
w.append(list(map(int, temp)))
A = [[0 for i in range(size)] for j in range(size)]
B = [[0 for i in range(size)] for j in range(size)]
for i in range(size):
for j in range(i, size):
A[i][j] = (w[i][j] + w[j][i]) / 2
B[i][j] = (w[i][j] - w[j][i]) / 2
A[j][i] = A[i][j]
B[j][i] = -B[i][j]
def pr(A):
global size
for row in A:
for i in range(size):
print("{0:.8f}".format(row[i]), end = sep(i))
def sep(i):
global size
if i >= size - 1:
return '\n'
else:
return ' '
pr(A)
pr(B)
``` | output | 1 | 39,013 | 5 | 78,027 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,014 | 5 | 78,028 |
"Correct Solution:
```
n=int(input())
w=[]
for i in range(n):
w.append([int(i) for i in input().split()])
a=[[0 for i in range(n)]for j in range(n)]
b=[[0 for i in range(n)]for j in range(n)]
for i in range(n):
a[i][i]=w[i][i]
for i in range(n-1):
for j in range(i+1,n):
x=(w[i][j]+w[j][i])/2
y=(w[i][j]-w[j][i])/2
a[i][j]=x
a[j][i]=x
b[i][j]=y
b[j][i]=-y
for i in a:
for j in i:
print(j,'',end='')
print()
for i in b:
for j in i:
print(j,'',end='')
print()
``` | output | 1 | 39,014 | 5 | 78,029 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,015 | 5 | 78,030 |
"Correct Solution:
```
n = int(input())
l = []
for i in range(n):
c = list(map(int, input().split()))
l.append(c)
a = []
b = []
for i in range(n):
a.append([-99999]*n)
b.append([-99999]*n)
for i in range(n):
for j in range(n):
if i == j:
a[i][j] = l[i][j]
b[i][j] = 0
elif a[i][j]==-99999:
a[i][j] = a[j][i]= (l[i][j]+l[j][i])/2
b[i][j] = (l[i][j]-l[j][i])/2
b[j][i] = -1*(l[i][j]-l[j][i])/2
for i in a:
for j in i:
print(j, end = " ")
print()
for i in b:
for j in i:
print(j, end = " ")
print()
``` | output | 1 | 39,015 | 5 | 78,031 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,016 | 5 | 78,032 |
"Correct Solution:
```
n = int(input())
A = [[0 for i in range(n)] for j in range(n)]
B = [[0 for i in range(n)] for j in range(n)]
W = []
for i in range(n):
s = list(map(int, input().split()))
W.append(s)
for i in range(n):
for j in range(i, n):
if i == j:
A[i][j] = W[i][j]
else:
sred = (W[i][j] + W[j][i]) / 2
A[i][j] = sred
A[j][i] = sred
B[i][j] = W[i][j] - sred
B[j][i] = W[j][i] - sred
for i in A:
print(*i)
for i in B:
print(*i)
``` | output | 1 | 39,016 | 5 | 78,033 |
Provide a correct Python 3 solution for this coding contest problem.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000 | instruction | 0 | 39,017 | 5 | 78,034 |
"Correct Solution:
```
def transpose(m, d):
new = []
for i in range(d):
new.append([m[j][i] for j in range(d)])
return new
def sum(a,b, dim):
new = []
for i in range(dim):
new.append([(a[i][j]+b[i][j])/2 for j in range(dim)])
return new
def diff(a,b, dim):
new = []
for i in range(dim):
new.append([(a[i][j]-b[i][j])/2 for j in range(dim)])
return new
def print_matrix(a,dim):
for i in range(dim):
row = ''
for j in range(dim):
row+= str(a[i][j])
row+=' '
print(row)
dim = int(input())
w = []
for _ in range(dim):
w.append([int(i) for i in input().split()])
wt = transpose(w, dim)
print_matrix(sum(w, wt, dim), dim)
print_matrix(diff(w,wt,dim), dim)
``` | output | 1 | 39,017 | 5 | 78,035 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
'''
Online Python Compiler.
Code, Compile, Run and Debug python program online.
Write your code in this editor and press "Run" button to execute it.
'''
n = int(input())
matrix = []
for i in range(n):
listA = input().split()
for i in range(0,len(listA)):
listA[i] = int(listA[i])
matrix.append(listA)
matAt = [[0 for x in range(n)] for y in range(n)]
matBt = [[0 for x in range(n)] for y in range(n)]
for i in range(n):
for j in range(n):
matAt[i][j] = matrix[j][i]
matAt[i][j] = float(matAt[i][j] + matrix[i][j])/2
for i in range(n):
for j in range(n):
matBt[i][j] = 0 - matrix[j][i]
matBt[i][j] = float(matBt[i][j] + matrix[i][j])/2
for i in range(n):
print(*matAt[i])
for i in range(n):
print(*matBt[i])
``` | instruction | 0 | 39,018 | 5 | 78,036 |
Yes | output | 1 | 39,018 | 5 | 78,037 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
x = int(input())
l = list()
for i in range(x):
l.append([int(a) for a in input().split()])
a, b = list(range(x)), list(range(x))
for i in range(x):
a[i], b[i] = list(range(x)), list(range(x))
for j in range(x):
if i is j:
a[i][j] = l[i][j]
b[i][j] = 0
else:
a[i][j] = (l[i][j] + l[j][i]) / 2
b[i][j] = l[i][j] - a[i][j]
for x in a:
print(" ".join(["{:.8f}".format(float(i)) for i in x]))
for x in b:
print(" ".join(["{:.8f}".format(float(i)) for i in x]))
``` | instruction | 0 | 39,019 | 5 | 78,038 |
Yes | output | 1 | 39,019 | 5 | 78,039 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
n =int(input())
W = []
A = []
B = []
for i in range(n):
a = list(map(int,input().split()))
W.append(a)
A.append([0]*n)
B.append([0]*n)
for i in range(n):
for j in range(n):
if i!=j:
A[i][j] = (W[i][j]+W[j][i])/2
B[i][j] = (W[i][j]-A[i][j])
else:
A[i][j] = W[i][j]
for i in range(n):
for j in range(n):
print(A[i][j],end = " ")
print()
for i in range(n):
for j in range(n):
print(B[i][j],end = " ")
print()
``` | instruction | 0 | 39,020 | 5 | 78,040 |
Yes | output | 1 | 39,020 | 5 | 78,041 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
n=int(input())
W=[[int(i) for i in input().split()] for _ in range(n)]
A=[[0 for __ in range(n)] for _ in range(n)]
B=[[0 for __ in range(n)] for _ in range(n)]
for i in range(n):
for j in range(n):
A[i][j]=(W[i][j]+W[j][i])/2
A[j][i]=A[i][j]
B[i][j]=W[i][j]-A[i][j]
B[j][i]=-B[i][j]
for i in A:
print(*i)
for i in B:
print(*i)
``` | instruction | 0 | 39,021 | 5 | 78,042 |
Yes | output | 1 | 39,021 | 5 | 78,043 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
w = int(input())
a = [[]]*w
b = [[]]*w
for i in range(w):
a[i] = list(map(int,input().split()))
b[i] = [0]*w
for i in range(w):
for j in range(w):
if i < j:
ac = (a[i][j] + a[j][i]) / 2
b[i][j] = ac - a[i][j]
b[j][i] = -1 * b[i][j]
a[i][j] = a[j][i] = ac
for i in range(w):
for j in range(w):
print('%.8f'%a[i][j],end=' ')
print('')
for i in range(w):
for j in range(w):
print('%.8f'%b[i][j],end=' ')
print('')
``` | instruction | 0 | 39,022 | 5 | 78,044 |
No | output | 1 | 39,022 | 5 | 78,045 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
n = int(input())
W = []
def print_matrix(A):
for i in A:
for j in i:
print(j,end=' ')
print()
for i in range(n):
row_input = input()
row_list = row_input.split()
new_row_list = []
for j in row_list:
new_row_list.append(float(j))
W.append(new_row_list)
a = [row[:] for row in W]
b = [row[:] for row in W]
for j in range(n):
for i in range(n):
if i == j: continue
a[j][i] = (W[j][i] + W[i][j]) / 2.0
b[j][i] = W[j][i] - a[j][i]
#print(i,j,a[j][i],W[j][i],W[i][j])
print_matrix(a)
print_matrix(b)
``` | instruction | 0 | 39,023 | 5 | 78,046 |
No | output | 1 | 39,023 | 5 | 78,047 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
def nine(n,queries):
A=[[0 for _ in range(n)] for _ in range(n)]
B=[[0 for _ in range(n)] for _ in range(n)]
for i in range(n):
for j in range(i+1,n):
a=queries[i][j]
b=queries[j][i]
x=(a+b)/2
y=a-x
A[i][j]=x
A[j][i]=x
B[i][j]=-y
B[j][i]=y
for k in range(n):
A[k][k]=queries[k][k]
for i in range(n):
print(' '.join(map(str,A[i])))
for i in range(n):
print(' '.join(map(str,B[i])))
n=int(input())
queries=[]
for _ in range(n):
queries.append(list(map(int,input().split())))
nine(n,queries)
``` | instruction | 0 | 39,024 | 5 | 78,048 |
No | output | 1 | 39,024 | 5 | 78,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Chubby Yang is studying linear equations right now. He came up with a nice problem. In the problem you are given an n × n matrix W, consisting of integers, and you should find two n × n matrices A and B, all the following conditions must hold:
* Aij = Aji, for all i, j (1 ≤ i, j ≤ n);
* Bij = - Bji, for all i, j (1 ≤ i, j ≤ n);
* Wij = Aij + Bij, for all i, j (1 ≤ i, j ≤ n).
Can you solve the problem?
Input
The first line contains an integer n (1 ≤ n ≤ 170). Each of the following n lines contains n integers. The j-th integer in the i-th line is Wij (0 ≤ |Wij| < 1717).
Output
The first n lines must contain matrix A. The next n lines must contain matrix B. Print the matrices in the format equal to format of matrix W in input. It is guaranteed that the answer exists. If there are multiple answers, you are allowed to print any of them.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 4.
Examples
Input
2
1 4
3 2
Output
1.00000000 3.50000000
3.50000000 2.00000000
0.00000000 0.50000000
-0.50000000 0.00000000
Input
3
1 2 3
4 5 6
7 8 9
Output
1.00000000 3.00000000 5.00000000
3.00000000 5.00000000 7.00000000
5.00000000 7.00000000 9.00000000
0.00000000 -1.00000000 -2.00000000
1.00000000 0.00000000 -1.00000000
2.00000000 1.00000000 0.00000000
Submitted Solution:
```
n = int(input())
W = []
def print_matrix(A):
for i in A:
for j in i:
print(j,end=' ')
print()
for i in range(n):
row_input = input()
row_list = row_input.split()
new_row_list = []
for j in row_list:
new_row_list.append(float(j))
W.append(new_row_list)
a = [row[:] for row in W]
b = [row[:] for row in W]
for j in range(n):
for i in range(n):
if i == j: continue
a[j][i] = (W[j][i] + W[i][j]) / 2.0
b[j][i] = a[j][i] - W[j][i]
#print(i,j,a[j][i],W[j][i],W[i][j])
print_matrix(a)
print_matrix(b)
``` | instruction | 0 | 39,025 | 5 | 78,050 |
No | output | 1 | 39,025 | 5 | 78,051 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,366 | 5 | 78,732 |
"Correct Solution:
```
n = int(input())
if n % 9 == 0:
print('Yes')
else:
print('No')
``` | output | 1 | 39,366 | 5 | 78,733 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,367 | 5 | 78,734 |
"Correct Solution:
```
a=int(input())
if(a%9==0):
print("Yes")
else:
print("No")
``` | output | 1 | 39,367 | 5 | 78,735 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,368 | 5 | 78,736 |
"Correct Solution:
```
S = list(map(int,list(input())))
print("Yes" if sum(S)%9==0 else "No")
``` | output | 1 | 39,368 | 5 | 78,737 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,369 | 5 | 78,738 |
"Correct Solution:
```
a = int(input())
if a % 9 == 0:
print('Yes')
else:
print('No')
``` | output | 1 | 39,369 | 5 | 78,739 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,370 | 5 | 78,740 |
"Correct Solution:
```
num = int(input())
print(['Yes', 'No'][num%9>0])
``` | output | 1 | 39,370 | 5 | 78,741 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,371 | 5 | 78,742 |
"Correct Solution:
```
n=input()
n=int(n)
if (n%9)==0:
print("Yes")
else:
print("No")
``` | output | 1 | 39,371 | 5 | 78,743 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,372 | 5 | 78,744 |
"Correct Solution:
```
N = input()
S = sum(int(n) for n in N)
print('No' if S % 9 else 'Yes')
``` | output | 1 | 39,372 | 5 | 78,745 |
Provide a correct Python 3 solution for this coding contest problem.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No | instruction | 0 | 39,373 | 5 | 78,746 |
"Correct Solution:
```
l = [int(s) for s in input()]
print('Yes' if sum(l) % 9 == 0 else 'No')
``` | output | 1 | 39,373 | 5 | 78,747 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
n=input()
s=0
for c in n:
s+=int(c)
print('No' if s%9 else 'Yes')
``` | instruction | 0 | 39,374 | 5 | 78,748 |
Yes | output | 1 | 39,374 | 5 | 78,749 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
s = sum(map(int, list(input())))
print(s % 9 == 0 and "Yes" or "No")
``` | instruction | 0 | 39,375 | 5 | 78,750 |
Yes | output | 1 | 39,375 | 5 | 78,751 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
n=input()
c=[int(i) for i in n]
print("Yes" if sum(c)%9==0 else "No")
``` | instruction | 0 | 39,376 | 5 | 78,752 |
Yes | output | 1 | 39,376 | 5 | 78,753 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
a = 0
for i in input():
a += int(i)
print('Yes' if a%9==0 else 'No')
``` | instruction | 0 | 39,377 | 5 | 78,754 |
Yes | output | 1 | 39,377 | 5 | 78,755 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
n = int(input())
if n%9==0:
print("Yes")
else:
prinrt("No")
``` | instruction | 0 | 39,378 | 5 | 78,756 |
No | output | 1 | 39,378 | 5 | 78,757 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
# t=int(input())
# for _ in range(t):
# n=int(input())
# arr=[int(x) for x in input().split()]
def sumall(n):
sum=0
while n:
sum+=n%10
n=n//10
return sum
n=int(input())
if sumall(n)%9 == 0:
print("YES")
else:
print("NO")
#print(t*need)
``` | instruction | 0 | 39,379 | 5 | 78,758 |
No | output | 1 | 39,379 | 5 | 78,759 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
n=input()
c= 0
for i in range(len(n)):
c= c+int(i)
if(c%9==0):
print("Yes")
else:
print("No")
``` | instruction | 0 | 39,380 | 5 | 78,760 |
No | output | 1 | 39,380 | 5 | 78,761 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.
Determine whether N is a multiple of 9.
Constraints
* 0 \leq N < 10^{200000}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
If N is a multiple of 9, print `Yes`; otherwise, print `No`.
Examples
Input
123456789
Output
Yes
Input
0
Output
Yes
Input
31415926535897932384626433832795028841971693993751058209749445923078164062862089986280
Output
No
Submitted Solution:
```
N=input()
sum_of_num=0
for i in N:
sum_of_num+=int(i)
if sum_of_num/9==0:
print("Yes")
else:
print("No")
``` | instruction | 0 | 39,381 | 5 | 78,762 |
No | output | 1 | 39,381 | 5 | 78,763 |
Provide a correct Python 3 solution for this coding contest problem.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the number of possible values of the sum, modulo (10^9+7).
Examples
Input
3 2
Output
10
Input
200000 200001
Output
1
Input
141421 35623
Output
220280457 | instruction | 0 | 39,382 | 5 | 78,764 |
"Correct Solution:
```
N, K = map(int, input().split())
ans = 0
for i in range(K, N+2):
ans += N * i - i * (i-1) + 1
print(ans % (10**9 + 7))
``` | output | 1 | 39,382 | 5 | 78,765 |
Provide a correct Python 3 solution for this coding contest problem.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the number of possible values of the sum, modulo (10^9+7).
Examples
Input
3 2
Output
10
Input
200000 200001
Output
1
Input
141421 35623
Output
220280457 | instruction | 0 | 39,383 | 5 | 78,766 |
"Correct Solution:
```
N,K=map(int,input().split(" "))
total = 0
for k in range(N+1,K-1,-1):
total+=k*(N)-k*(k-1)+1
print(total%(10**9+7))
``` | output | 1 | 39,383 | 5 | 78,767 |
Provide a correct Python 3 solution for this coding contest problem.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the number of possible values of the sum, modulo (10^9+7).
Examples
Input
3 2
Output
10
Input
200000 200001
Output
1
Input
141421 35623
Output
220280457 | instruction | 0 | 39,384 | 5 | 78,768 |
"Correct Solution:
```
N,K=map(int,input().split())
MOD=10**9+7
ans=0
for k in range(K,N+2):
ans+=N*k+1-k*k+k
ans%=MOD
print(ans)
``` | output | 1 | 39,384 | 5 | 78,769 |
Provide a correct Python 3 solution for this coding contest problem.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the number of possible values of the sum, modulo (10^9+7).
Examples
Input
3 2
Output
10
Input
200000 200001
Output
1
Input
141421 35623
Output
220280457 | instruction | 0 | 39,385 | 5 | 78,770 |
"Correct Solution:
```
n,k=map(int,input().split());print((k-n-2)*(2*k*k-k*n-2*k-n*n-n-6)//6%(10**9+7))
``` | output | 1 | 39,385 | 5 | 78,771 |
Provide a correct Python 3 solution for this coding contest problem.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the number of possible values of the sum, modulo (10^9+7).
Examples
Input
3 2
Output
10
Input
200000 200001
Output
1
Input
141421 35623
Output
220280457 | instruction | 0 | 39,386 | 5 | 78,772 |
"Correct Solution:
```
n,k = map(int,input().split())
count = 0
for i in range(k,n+2):
count += i*(n-i+1) +1
print(count % (10**9+7))
``` | output | 1 | 39,386 | 5 | 78,773 |
Provide a correct Python 3 solution for this coding contest problem.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the number of possible values of the sum, modulo (10^9+7).
Examples
Input
3 2
Output
10
Input
200000 200001
Output
1
Input
141421 35623
Output
220280457 | instruction | 0 | 39,387 | 5 | 78,774 |
"Correct Solution:
```
n,k=map(int,input().split())
print((((k-n-2)*(2*k**2-k*(n+2)-n**2-n-6)))//6%(10**9+7))
``` | output | 1 | 39,387 | 5 | 78,775 |
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