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Exo32 TP-4 info listes
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from pprint import pprint | |
import math | |
def Exo32(n): | |
M = [] | |
for i in range(n): | |
M += [[None] * n] | |
def fill(bounds, counter, i=None, j=None, reverse=False): | |
assert (i == None) ^ (j == None) | |
N = bounds[1] - bounds[0] + 1 | |
for k in range(N): | |
pos = (0, 0) | |
if j == None: | |
pos = (i, bounds[0] + k) | |
else: | |
pos = (bounds[0] + k, j) | |
M[pos[0]][pos[1]] = counter + k if not reverse else counter + N - k - 1 | |
return counter + N | |
line_bounds = [0, n - 1] | |
column_bounds = [1, n - 1] | |
counter = 1 | |
i = 0 | |
j = 0 | |
while line_bounds[1] > line_bounds[0] or column_bounds[1] > column_bounds[0]: | |
counter = fill(line_bounds, counter, i=i) | |
j = line_bounds[1] | |
line_bounds[1] -= 1 | |
counter = fill(column_bounds, counter, j=j) | |
i = column_bounds[1] | |
column_bounds[1] -= 1 | |
counter = fill(line_bounds, counter, i=i, reverse=True) | |
j = line_bounds[0] | |
line_bounds[0] += 1 | |
counter = fill(column_bounds, counter, j=j, reverse=True) | |
i = column_bounds[0] | |
column_bounds[0] += 1 | |
if n % 2 != 0: | |
i = math.trunc(n / 2) | |
M[i][i] = counter | |
return M | |
pprint(Exo32(11)) |
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