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Python N-Queen problem
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class NQueen: | |
# @return a list of lists of string | |
def solveNQueens(self, n): | |
self.__ans = [] | |
self.__stack = [] | |
self.__n = n | |
self.solve(0) | |
return self.__ans | |
def solve(self, depth): | |
if depth == self.__n: | |
self.__ans.append(self.answer2board(self.__stack)) | |
else: | |
for i in range(self.__n): | |
if self.isSafe(i): | |
self.__stack.append(i) | |
self.solve(depth + 1) | |
self.__stack.pop() | |
def isSafe(self, pos): | |
idx = len(self.__stack) | |
for i in range(idx): | |
if self.__stack[i] == pos or abs(idx - i) == abs(pos - self.__stack[i]): | |
return False | |
return True | |
def answer2board(self, ans): | |
ret = [] | |
for i in range(len(ans)): | |
ret.append('.' * ans[i] + 'Q' + '.' * (self.__n - ans[i] - 1)) | |
return ret | |
# >>> s.solveNQueens(4) | |
# [['.Q..', '...Q', 'Q...', '..Q.'], ['..Q.', 'Q...', '...Q', '.Q..']] | |
# >>> s.solveNQueens(6) | |
# [['.Q....', '...Q..', '.....Q', 'Q.....', '..Q...', '....Q.'], ['..Q...', '.....Q', '.Q....', '....Q.', 'Q.....', '...Q..'], ['...Q..', 'Q.....', '....Q.', '.Q....', '.....Q', '..Q...'], ['....Q.', '..Q...', 'Q.....', '.....Q', '...Q..', '.Q....']] |
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