Created
October 21, 2019 11:49
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get all possible configurations in n queens problem
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def conflict(conf): | |
for i in range(len(conf) - 1): | |
if conf[i] == conf[-1]: | |
return True | |
if len(conf) - i - 1 == conf[-1] - conf[i]: | |
return True | |
elif len(conf) - i - 1 == conf[i] - conf[-1]: | |
return True | |
return False | |
def n_queen(size, solutions, level=0, config=None): | |
if level == size: solutions.append(config) | |
else: | |
if level == 0: | |
config = [None] | |
for i in range(size): | |
config[level] = i | |
n_queen(size, solutions, level+1, config.copy()) | |
else: | |
config.append(None) | |
for i in range(size - 1): | |
next_pos = (config[level - 1] + i + 1) % size | |
config[level] = next_pos | |
if not conflict(config): | |
n_queen(size, solutions, level+1, config.copy()) | |
if __name__ == "__main__": | |
solutions = [] | |
n_queen(8, solutions) | |
print(len(solutions)) |
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