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from collections import Counter | |
xs = [i for i in range(5) for k in range(5)] | |
def next_z(ys, zs): | |
cur_len = len(zs) | |
if cur_len == 25: | |
return | |
yz_pairs = set(zip(ys, zs)) | |
xz_pairs = set(zip(xs, zs)) | |
next_x = xs[cur_len] | |
next_y = ys[cur_len] | |
nums = Counter(zs) | |
avail_z = [z for z in range(5) if nums[z] < 5 and | |
(next_x, z) not in xz_pairs and | |
(next_y, z) not in yz_pairs] | |
for z in avail_z: | |
yield z | |
def next_y(ys): | |
cur_len = len(ys) | |
if cur_len == 25: | |
return | |
xy_pairs = set(zip(xs, ys)) | |
next_x = xs[cur_len] | |
nums = Counter(ys) | |
avail_y = [y for y in range(5) if nums[y] < 5 and | |
(next_x, y) not in xy_pairs] | |
for y in avail_y: | |
yield y | |
def arrange_ys(ys): | |
if len(ys) == 25: | |
yield ys | |
for y in next_y(ys): | |
for solution_y in arrange_ys(ys + [y]): | |
yield solution_y | |
def arrange_zs(ys, zs): | |
if len(zs) == 25: | |
yield list(zip(xs, ys, zs)) | |
for z in next_z(ys, zs): | |
for solution in arrange_zs(ys, zs + [z]): | |
yield solution | |
def find_queen(): | |
for ys in arrange_ys([]): | |
n = 0 | |
print('ys:', ys) | |
for solution in arrange_zs(ys, []): | |
n += 1 | |
if n // 5000 * 5000 == n: | |
print(n) | |
yield solution | |
print('total:', n) | |
def check(qs, n): | |
tried = set() | |
for x, y, z in qs: | |
for i in range(n): | |
tried.add((i, y, z)) | |
tried.add((x, i, z)) | |
tried.add((x, y, i)) | |
if len(tried) == n ** 3: | |
return True | |
if __name__ == '__main__': | |
for solution in find_queen(): | |
solution_10 = solution + [(9 - x, 9 - y, 9 - z) | |
for x, y, z in solution] | |
# print(','.join("%s%s%s" % (x, y, z) for x, y, z in solution_10)) | |
# if not check(solution_10, 10): | |
# print('.......') |
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