Created
March 11, 2023 21:31
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Generates a spiral of numbers in a matrix
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RIGHT = (0, 1) | |
LEFT = (0, -1) | |
UP = (-1, 0) | |
DOWN = (1, 0) | |
def rotate(d): | |
if d == RIGHT: | |
return DOWN | |
elif d == DOWN: | |
return LEFT | |
elif d == LEFT: | |
return UP | |
else: | |
return RIGHT | |
def generate_spiral(n: int): | |
m = [[0] * n for _ in range(n)] | |
coordinates = [] | |
i = 1 | |
x = (n // 2 - 1, n // 2 - 1) | |
m[x[0]][x[1]] = i | |
direction = RIGHT | |
coordinates.append(x) | |
for side in [2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8]: | |
steps_remaining = side - 1 | |
while steps_remaining > 0: | |
steps_remaining -= 1 | |
i += 1 | |
x = (x[0] + direction[0], x[1] + direction[1]) | |
m[x[0]][x[1]] = i | |
coordinates.append(x) | |
direction = rotate(direction) | |
return m, coordinates | |
spiral, _ = generate_spiral(8) | |
for row in spiral: | |
print("\t".join(map(str, row))) |
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