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#!/usr/bin/env python
def isDiagonal(x, y, N):
return (
N == 1 or N == 2 or x == y or x + y == N - 1
)
def isXMatrix(matrix):
N = len(matrix)
for y, row in enumerate(matrix):
for x, value in enumerate(row):
# fail if diagonal values are zero or
# non-diagonal values are non-zero
if isDiagonal(x, y, N) != (value != 0):
return False
return True
def formatMatrix(matrix, indent=17):
output = []
for row in matrix:
output_row = ' ' * indent + ' ['
output_row += ', '.join(map(lambda i: str(i), row))
output_row += ']'
output.append(output_row)
return(
"[\n" + ",\n".join(output) + "\n" +
' ' * indent + ']'
)
def solution(matrix):
print(f'Input: $matrix = {formatMatrix(matrix)}')
print(f'Output: {isXMatrix(matrix)}')
print('Example 1:')
solution([
[1, 0, 0, 2],
[0, 3, 4, 0],
[0, 5, 6, 0],
[7, 0, 0, 1],
])
print('\nExample 2:')
solution([
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
])
print('\nExample 3:')
solution([
[1, 0, 2],
[0, 3, 0],
[4, 0, 5],
])
print('\nExample 4:')
solution([
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1],
])
print('\nExample 5:')
solution([
[1, 0, 1, 0, 1],
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1],
])
print('\nExample 6:')
solution([
[1, 1],
[1, 1]
])
print('\nExample 7:')
solution([
[1, 0],
[1, 1]
])
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