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100 lines
2.5 KiB
Python
100 lines
2.5 KiB
Python
"""
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In this problem, we want to rotate the matrix elements by 90, 180, 270
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(counterclockwise)
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Discussion in stackoverflow:
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https://stackoverflow.com/questions/42519/how-do-you-rotate-a-two-dimensional-array
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"""
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def make_matrix(row_size: int = 4) -> [[int]]:
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"""
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>>> make_matrix()
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[[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]]
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>>> make_matrix(1)
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[[1]]
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>>> make_matrix(-2)
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[[1, 2], [3, 4]]
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>>> make_matrix(3)
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[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
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>>> make_matrix() == make_matrix(4)
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True
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"""
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row_size = abs(row_size) or 4
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return [[1 + x + y * row_size for x in range(row_size)] for y in range(row_size)]
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def rotate_90(matrix: [[]]) -> [[]]:
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"""
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>>> rotate_90(make_matrix())
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[[4, 8, 12, 16], [3, 7, 11, 15], [2, 6, 10, 14], [1, 5, 9, 13]]
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>>> rotate_90(make_matrix()) == transpose(reverse_column(make_matrix()))
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True
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"""
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return reverse_row(transpose(matrix))
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# OR.. transpose(reverse_column(matrix))
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def rotate_180(matrix: [[]]) -> [[]]:
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"""
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>>> rotate_180(make_matrix())
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[[16, 15, 14, 13], [12, 11, 10, 9], [8, 7, 6, 5], [4, 3, 2, 1]]
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>>> rotate_180(make_matrix()) == reverse_column(reverse_row(make_matrix()))
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True
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"""
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return reverse_row(reverse_column(matrix))
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# OR.. reverse_column(reverse_row(matrix))
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def rotate_270(matrix: [[]]) -> [[]]:
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"""
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>>> rotate_270(make_matrix())
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[[13, 9, 5, 1], [14, 10, 6, 2], [15, 11, 7, 3], [16, 12, 8, 4]]
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>>> rotate_270(make_matrix()) == transpose(reverse_row(make_matrix()))
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True
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"""
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return reverse_column(transpose(matrix))
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# OR.. transpose(reverse_row(matrix))
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def transpose(matrix: [[]]) -> [[]]:
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matrix[:] = [list(x) for x in zip(*matrix)]
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return matrix
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def reverse_row(matrix: [[]]) -> [[]]:
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matrix[:] = matrix[::-1]
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return matrix
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def reverse_column(matrix: [[]]) -> [[]]:
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matrix[:] = [x[::-1] for x in matrix]
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return matrix
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def print_matrix(matrix: [[]]) -> [[]]:
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for i in matrix:
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print(*i)
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if __name__ == "__main__":
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matrix = make_matrix()
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print("\norigin:\n")
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print_matrix(matrix)
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print("\nrotate 90 counterclockwise:\n")
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print_matrix(rotate_90(matrix))
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matrix = make_matrix()
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print("\norigin:\n")
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print_matrix(matrix)
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print("\nrotate 180:\n")
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print_matrix(rotate_180(matrix))
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matrix = make_matrix()
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print("\norigin:\n")
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print_matrix(matrix)
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print("\nrotate 270 counterclockwise:\n")
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print_matrix(rotate_270(matrix))
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