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1 | 1 | # -*- coding: utf-8 -*-
|
2 | 2 |
|
3 | 3 | """
|
4 |
| - In this problem, we want to rotate the matrix elements by 90, 180, 270 (counterclockwise) |
5 |
| - Discussion in stackoverflow: |
6 |
| - https://stackoverflow.com/questions/42519/how-do-you-rotate-a-two-dimensional-array |
| 4 | +In this problem, we want to rotate the matrix elements by 90, 180, 270 (counterclockwise) |
| 5 | +Discussion in stackoverflow: |
| 6 | +https://stackoverflow.com/questions/42519/how-do-you-rotate-a-two-dimensional-array |
7 | 7 | """
|
8 | 8 |
|
9 | 9 |
|
10 |
| -def rotate_90(matrix: [[]]): |
| 10 | +def make_matrix(row_size: int = 4) -> [[int]]: |
11 | 11 | """
|
12 |
| - >>> rotate_90([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]]) |
13 |
| - [[4, 8, 12, 16], [3, 7, 11, 15], [2, 6, 10, 14], [1, 5, 9, 13]] |
| 12 | + >>> make_matrix() |
| 13 | + [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] |
| 14 | + >>> make_matrix(1) |
| 15 | + [[1]] |
| 16 | + >>> make_matrix(-2) |
| 17 | + [[1, 2], [3, 4]] |
| 18 | + >>> make_matrix(3) |
| 19 | + [[1, 2, 3], [4, 5, 6], [7, 8, 9]] |
| 20 | + >>> make_matrix() == make_matrix(4) |
| 21 | + True |
14 | 22 | """
|
15 |
| - |
16 |
| - transpose(matrix) |
17 |
| - reverse_row(matrix) |
18 |
| - return matrix |
19 |
| - |
| 23 | + row_size = abs(row_size) or 4 |
| 24 | + return [[1 + x + y * row_size for x in range(row_size)] for y in range(row_size)] |
| 25 | + |
20 | 26 |
|
21 |
| -def rotate_180(matrix: [[]]): |
| 27 | +def rotate_90(matrix: [[]]) -> [[]]: |
22 | 28 | """
|
23 |
| - >>> rotate_180([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]]) |
24 |
| - [[16, 15, 14, 13], [12, 11, 10, 9], [8, 7, 6, 5], [4, 3, 2, 1]] |
| 29 | + >>> rotate_90(make_matrix()) |
| 30 | + [[4, 8, 12, 16], [3, 7, 11, 15], [2, 6, 10, 14], [1, 5, 9, 13]] |
| 31 | + >>> rotate_90(make_matrix()) == transpose(reverse_column(make_matrix())) |
| 32 | + True |
25 | 33 | """
|
26 |
| - |
27 |
| - reverse_column(matrix) |
28 |
| - reverse_row(matrix) |
29 |
| - |
| 34 | + |
| 35 | + return reverse_row(transpose(matrix)) |
| 36 | + # OR.. transpose(reverse_column(matrix)) |
| 37 | + |
| 38 | + |
| 39 | +def rotate_180(matrix: [[]]) -> [[]]: |
30 | 40 | """
|
31 |
| - OR |
32 |
| - |
33 |
| - reverse_row(matrix) |
34 |
| - reverse_column(matrix) |
| 41 | + >>> rotate_180(make_matrix()) |
| 42 | + [[16, 15, 14, 13], [12, 11, 10, 9], [8, 7, 6, 5], [4, 3, 2, 1]] |
| 43 | + >>> rotate_180(make_matrix()) == reverse_column(reverse_row(make_matrix())) |
| 44 | + True |
35 | 45 | """
|
36 |
| - |
37 |
| - return matrix |
38 | 46 |
|
39 |
| - |
40 |
| -def rotate_270(matrix: [[]]): |
| 47 | + return reverse_row(reverse_column(matrix)) |
| 48 | + # OR.. reverse_column(reverse_row(matrix)) |
| 49 | + |
| 50 | + |
| 51 | +def rotate_270(matrix: [[]]) -> [[]]: |
41 | 52 | """
|
42 |
| - >>> rotate_270([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]]) |
| 53 | + >>> rotate_270(make_matrix()) |
43 | 54 | [[13, 9, 5, 1], [14, 10, 6, 2], [15, 11, 7, 3], [16, 12, 8, 4]]
|
| 55 | + >>> rotate_270(make_matrix()) == transpose(reverse_row(make_matrix())) |
| 56 | + True |
44 | 57 | """
|
45 |
| - |
46 |
| - transpose(matrix) |
47 |
| - reverse_column(matrix) |
48 |
| - |
49 |
| - """ |
50 |
| - OR |
51 |
| - |
52 |
| - reverse_row(matrix) |
53 |
| - transpose(matrix) |
54 |
| - """ |
55 |
| - |
56 |
| - return matrix |
57 | 58 |
|
| 59 | + return reverse_column(transpose(matrix)) |
| 60 | + # OR.. transpose(reverse_row(matrix)) |
58 | 61 |
|
59 |
| -def transpose(matrix: [[]]): |
| 62 | + |
| 63 | +def transpose(matrix: [[]]) -> [[]]: |
60 | 64 | matrix[:] = [list(x) for x in zip(*matrix)]
|
61 | 65 | return matrix
|
62 |
| - |
63 |
| - |
64 |
| -def reverse_row(matrix: [[]]): |
| 66 | + |
| 67 | + |
| 68 | +def reverse_row(matrix: [[]]) -> [[]]: |
65 | 69 | matrix[:] = matrix[::-1]
|
66 | 70 | return matrix
|
67 | 71 |
|
68 | 72 |
|
69 |
| -def reverse_column(matrix: [[]]): |
| 73 | +def reverse_column(matrix: [[]]) -> [[]]: |
70 | 74 | matrix[:] = [x[::-1] for x in matrix]
|
71 | 75 | return matrix
|
72 |
| - |
73 |
| - |
74 |
| -def print_matrix(matrix: [[]]): |
| 76 | + |
| 77 | + |
| 78 | +def print_matrix(matrix: [[]]) -> [[]]: |
75 | 79 | for i in matrix:
|
76 | 80 | print(*i)
|
77 | 81 |
|
78 | 82 |
|
79 |
| -if __name__ == '__main__': |
80 |
| - matrix = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] |
| 83 | +if __name__ == "__main__": |
| 84 | + matrix = make_matrix() |
81 | 85 | print("\norigin:\n")
|
82 | 86 | print_matrix(matrix)
|
83 |
| - rotate_90(matrix) |
84 | 87 | print("\nrotate 90 counterclockwise:\n")
|
85 |
| - print_matrix(matrix) |
| 88 | + print_matrix(rotate_90(matrix)) |
86 | 89 |
|
87 |
| - matrix = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] |
| 90 | + matrix = make_matrix() |
88 | 91 | print("\norigin:\n")
|
89 | 92 | print_matrix(matrix)
|
90 |
| - rotate_180(matrix) |
91 | 93 | print("\nrotate 180:\n")
|
92 |
| - print_matrix(matrix) |
| 94 | + print_matrix(rotate_180(matrix)) |
93 | 95 |
|
94 |
| - matrix = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] |
| 96 | + matrix = make_matrix() |
95 | 97 | print("\norigin:\n")
|
96 | 98 | print_matrix(matrix)
|
97 |
| - rotate_270(matrix) |
98 | 99 | print("\nrotate 270 counterclockwise:\n")
|
99 |
| - print_matrix(matrix) |
| 100 | + print_matrix(rotate_270(matrix)) |
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