51. N\u7687\u540e \u4e2d\u7b49\u96be\u5ea6 leetcode\u94fe\u63a5<\/p>\n<\/li>\n
\u9898\u76ee<\/h2>\n（1）\u5168\u6392\u5217<\/h3>\n\u9898\u76ee<\/h4>\n
\u9898\u76ee<\/h4>\n
\u7ed9\u5b9a\u4e00\u4e2a\u4e0d\u542b\u91cd\u590d\u6570\u5b57\u7684\u6570\u7ec4 nums ，\u8fd4\u56de\u5176 \u6240\u6709\u53ef\u80fd\u7684\u5168\u6392\u5217 \u3002\u4f60\u53ef\u4ee5 \u6309\u4efb\u610f\u987a\u5e8f \u8fd4\u56de\u7b54\u6848\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：nums = [1,2,3] \u8f93\u51fa：[[1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1]]<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：nums = [0,1] \u8f93\u51fa：[[0,1],[1,0]]<\/p>\n
\u793a\u4f8b 3：<\/p>\n
\u8f93\u5165：nums = [1] \u8f93\u51fa：[[1]]<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
1 <= nums.length <= 6<\/p>\n<\/li>\n
- \n
-10 <= nums[i] <= 10<\/p>\n<\/li>\n
- \n
nums \u4e2d\u7684\u6240\u6709\u6574\u6570 \u4e92\u4e0d\u76f8\u540c<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def permute(self, nums: List[int]) -> List[List[int]]:
\n result = []
\n self.backtracking(nums, [], [False] * len(nums), result)
\n return result<\/p>\ndef backtracking(self, nums, path, used, result):
\n if len(path) == len(nums):
\n result.append(path[:])
\n return
\n for i in range(len(nums)):
\n if used[i]:
\n continue
\n used[i] = True
\n path.append(nums[i])
\n self.backtracking(nums, path, used, result)
\n path.pop()
\n used[i] = False <\/p>\n（2）\u5b50\u96c6<\/h3>\n
\u9898\u76ee<\/h4>\n
\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4nums，\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u4e92\u4e0d\u76f8\u540c \u3002\u8fd4\u56de\u8be5\u6570\u7ec4\u6240\u6709\u53ef\u80fd\u5b50\u96c6（\u5e42\u96c6）\u3002<\/p>\n
\u89e3\u96c6 \u4e0d\u80fd \u5305\u542b\u91cd\u590d\u7684\u5b50\u96c6\u3002\u4f60\u53ef\u4ee5\u6309 \u4efb\u610f\u987a\u5e8f \u8fd4\u56de\u89e3\u96c6\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：nums = [1,2,3] \u8f93\u51fa：[[],[1],[2],[1,2],[3],[1,3],[2,3],[1,2,3]]<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：nums = [0] \u8f93\u51fa：[[],[0]]<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
1 <= nums.length <= 10<\/p>\n<\/li>\n
- \n
-10 <= nums[i] <= 10<\/p>\n<\/li>\n
- \n
nums \u4e2d\u7684\u6240\u6709\u5143\u7d20 \u4e92\u4e0d\u76f8\u540c<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def subsets(self, nums: List[int]) -> List[List[int]]:
\n result = []
\n path = []
\n self.backtracking(nums, 0, path, result)
\n return result<\/p>\ndef backtracking(self, nums, startIndex, path, result):
\n result.append(path[:]) # \u6536\u96c6\u5b50\u96c6，\u8981\u653e\u5728\u7ec8\u6b62\u6dfb\u52a0\u7684\u4e0a\u9762，\u5426\u5219\u4f1a\u6f0f\u6389\u81ea\u5df1
\n # if startIndex >= len(nums): # \u7ec8\u6b62\u6761\u4ef6\u53ef\u4ee5\u4e0d\u52a0
\n # return
\n for i in range(startIndex, len(nums)):
\n path.append(nums[i])
\n self.backtracking(nums, i + 1, path, result)
\n path.pop() <\/p>\n（3）\u7535\u8bdd\u53f7\u7801\u7684\u6570\u5b57\u7ec4\u5408<\/h3>\n
\u9898\u76ee<\/h4>\n
\u7ed9\u5b9a\u4e00\u4e2a\u4ec5\u5305\u542b\u6570\u5b57 2-9 \u7684\u5b57\u7b26\u4e32，\u8fd4\u56de\u6240\u6709\u5b83\u80fd\u8868\u793a\u7684\u5b57\u6bcd\u7ec4\u5408\u3002\u7b54\u6848\u53ef\u4ee5\u6309 \u4efb\u610f\u987a\u5e8f \u8fd4\u56de\u3002<\/p>\n
\u7ed9\u51fa\u6570\u5b57\u5230\u5b57\u6bcd\u7684\u6620\u5c04\u5982\u4e0b（\u4e0e\u7535\u8bdd\u6309\u952e\u76f8\u540c）\u3002\u6ce8\u610f 1 \u4e0d\u5bf9\u5e94\u4efb\u4f55\u5b57\u6bcd\u3002<\/p>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250810170430-6898d11e76b9d.png\")
<\/p>\n\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：digits = "23" \u8f93\u51fa：["ad","ae","af","bd","be","bf","cd","ce","cf"]<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：digits = "" \u8f93\u51fa：[]<\/p>\n
\u793a\u4f8b 3：<\/p>\n
\u8f93\u5165：digits = "2" \u8f93\u51fa：["a","b","c"]<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
0 <= digits.length <= 4<\/p>\n<\/li>\n
- \n
digits[i] \u662f\u8303\u56f4 ['2', '9'] \u7684\u4e00\u4e2a\u6570\u5b57\u3002<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def __init__(self):
\n self.letterMap = [
\n "", # 0
\n "", # 1
\n "abc", # 2
\n "def", # 3
\n "ghi", # 4
\n "jkl", # 5
\n "mno", # 6
\n "pqrs", # 7
\n "tuv", # 8
\n "wxyz" # 9
\n ]
\n self.result = []
\n self.s = ""<\/p>\ndef backtracking(self, digits, index):
\n if index == len(digits):
\n self.result.append(self.s)
\n return
\n digit = int(digits[index]) # \u5c06\u7d22\u5f15\u5904\u7684\u6570\u5b57\u8f6c\u6362\u4e3a\u6574\u6570
\n letters = self.letterMap[digit] # \u83b7\u53d6\u5bf9\u5e94\u7684\u5b57\u7b26\u96c6
\n for i in range(len(letters)):
\n self.s += letters[i] # \u5904\u7406\u5b57\u7b26
\n self.backtracking(digits, index + 1) # \u9012\u5f52\u8c03\u7528，\u6ce8\u610f\u7d22\u5f15\u52a01，\u5904\u7406\u4e0b\u4e00\u4e2a\u6570\u5b57
\n self.s = self.s[:-1] # \u56de\u6eaf，\u5220\u9664\u6700\u540e\u6dfb\u52a0\u7684\u5b57\u7b26<\/p>\ndef letterCombinations(self, digits: str) -> List[str]:
\n if len(digits) == 0:
\n return self.result
\n self.backtracking(digits, 0)
\n return self.result <\/p>\n（4）\u7ec4\u5408\u603b\u548c<\/h3>\n
\u9898\u76ee<\/h4>\n
\u7ed9\u4f60\u4e00\u4e2a \u65e0\u91cd\u590d\u5143\u7d20 \u7684\u6574\u6570\u6570\u7ec4 candidates \u548c\u4e00\u4e2a\u76ee\u6807\u6574\u6570 target ，\u627e\u51fa candidates \u4e2d\u53ef\u4ee5\u4f7f\u6570\u5b57\u548c\u4e3a\u76ee\u6807\u6570 target \u7684 \u6240\u6709 \u4e0d\u540c\u7ec4\u5408 ，\u5e76\u4ee5\u5217\u8868\u5f62\u5f0f\u8fd4\u56de\u3002\u4f60\u53ef\u4ee5\u6309 \u4efb\u610f\u987a\u5e8f \u8fd4\u56de\u8fd9\u4e9b\u7ec4\u5408\u3002<\/p>\n
candidates \u4e2d\u7684 \u540c\u4e00\u4e2a \u6570\u5b57\u53ef\u4ee5 \u65e0\u9650\u5236\u91cd\u590d\u88ab\u9009\u53d6 \u3002\u5982\u679c\u81f3\u5c11\u4e00\u4e2a\u6570\u5b57\u7684\u88ab\u9009\u6570\u91cf\u4e0d\u540c，\u5219\u4e24\u79cd\u7ec4\u5408\u662f\u4e0d\u540c\u7684\u3002<\/p>\n
\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u8f93\u5165，\u4fdd\u8bc1\u548c\u4e3a target \u7684\u4e0d\u540c\u7ec4\u5408\u6570\u5c11\u4e8e 150 \u4e2a\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：candidates = [2,3,6,7], target = 7\u8f93\u51fa：[[2,2,3],[7]] \u89e3\u91ca： 2 \u548c 3 \u53ef\u4ee5\u5f62\u6210\u4e00\u7ec4\u5019\u9009，2 + 2 + 3 = 7 \u3002\u6ce8\u610f 2 \u53ef\u4ee5\u4f7f\u7528\u591a\u6b21\u3002 7 \u4e5f\u662f\u4e00\u4e2a\u5019\u9009， 7 = 7 \u3002 \u4ec5\u6709\u8fd9\u4e24\u79cd\u7ec4\u5408\u3002<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165: candidates = [2,3,5], target = 8 \u8f93\u51fa: [[2,2,2,2],[2,3,3],[3,5]]<\/p>\n
\u793a\u4f8b 3：<\/p>\n
\u8f93\u5165: candidates = [2], target = 1 \u8f93\u51fa: []<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
1 <= candidates.length <= 30<\/p>\n<\/li>\n
- \n
2 <= candidates[i] <= 40<\/p>\n<\/li>\n
- \n
candidates \u7684\u6240\u6709\u5143\u7d20 \u4e92\u4e0d\u76f8\u540c<\/p>\n<\/li>\n
- \n
1 <= target <= 40<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def backtracking(self, candidates, target, total, startIndex, path, result):
\n if total == target:
\n result.append(path[:])
\n return<\/p>\nfor i in range(startIndex, len(candidates)):
\n if total + candidates[i] > target:
\n break
\n total += candidates[i]
\n path.append(candidates[i])
\n self.backtracking(candidates, target, total, i, path, result)
\n total -= candidates[i]
\n path.pop()<\/p>\ndef combinationSum(self, candidates: List[int], target: int) -> List[List[int]]:
\n result = []
\n candidates.sort() # \u9700\u8981\u6392\u5e8f
\n self.backtracking(candidates, target, 0, 0, [], result)
\n return result <\/p>\n（5）\u62ec\u53f7\u751f\u6210<\/h3>\n
\u9898\u76ee<\/h4>\n
\u6570\u5b57 n \u4ee3\u8868\u751f\u6210\u62ec\u53f7\u7684\u5bf9\u6570，\u8bf7\u4f60\u8bbe\u8ba1\u4e00\u4e2a\u51fd\u6570，\u7528\u4e8e\u80fd\u591f\u751f\u6210\u6240\u6709\u53ef\u80fd\u7684\u5e76\u4e14 \u6709\u6548\u7684 \u62ec\u53f7\u7ec4\u5408\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：n = 3 \u8f93\u51fa：["((()))","(()())","(())()","()(())","()()()"]<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：n = 1 \u8f93\u51fa：["()"]<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
1 <= n <= 8<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def generateParenthesis(self, n: int) -> List[str]:
\n if n == 0:
\n return ['']
\n ans = []
\n for c in range(n):
\n for left in self.generateParenthesis(c):
\n for right in self.generateParenthesis(n-1-c):
\n ans.append('({}){}'.format(left, right))
\n return ans<\/p>\n#\u9898\u89e3：https:\/\/leetcode.cn\/problems\/generate-parentheses\/solutions\/192912\/gua-hao-sheng-cheng-by-leetcode-solution\/<\/p>\n
（6）\u5355\u8bcd\u641c\u7d22<\/h3>\n
\u9898\u76ee<\/h4>\n
\u7ed9\u5b9a\u4e00\u4e2a m x n \u4e8c\u7ef4\u5b57\u7b26\u7f51\u683c board \u548c\u4e00\u4e2a\u5b57\u7b26\u4e32\u5355\u8bcd word \u3002\u5982\u679c word \u5b58\u5728\u4e8e\u7f51\u683c\u4e2d，\u8fd4\u56de true ；\u5426\u5219，\u8fd4\u56de false \u3002<\/p>\n
\u5355\u8bcd\u5fc5\u987b\u6309\u7167\u5b57\u6bcd\u987a\u5e8f，\u901a\u8fc7\u76f8\u90bb\u7684\u5355\u5143\u683c\u5185\u7684\u5b57\u6bcd\u6784\u6210，\u5176\u4e2d\u201c\u76f8\u90bb\u201d\u5355\u5143\u683c\u662f\u90a3\u4e9b\u6c34\u5e73\u76f8\u90bb\u6216\u5782\u76f4\u76f8\u90bb\u7684\u5355\u5143\u683c\u3002\u540c\u4e00\u4e2a\u5355\u5143\u683c\u5185\u7684\u5b57\u6bcd\u4e0d\u5141\u8bb8\u88ab\u91cd\u590d\u4f7f\u7528\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = "ABCCED" \u8f93\u51fa：true<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = "SEE" \u8f93\u51fa：true<\/p>\n
\u793a\u4f8b 3：<\/p>\n
\u8f93\u5165：board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = "ABCB" \u8f93\u51fa：false<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
m == board.length<\/p>\n<\/li>\n
- \n
n = board[i].length<\/p>\n<\/li>\n
- \n
1 <= m, n <= 6<\/p>\n<\/li>\n
- \n
1 <= word.length <= 15<\/p>\n<\/li>\n
- \n
board \u548c word \u4ec5\u7531\u5927\u5c0f\u5199\u82f1\u6587\u5b57\u6bcd\u7ec4\u6210<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def exist(self, board: List[List[str]], word: str) -> bool:
\n def dfs(i, j, k, row, col, list_set, board, path):
\n if k == len(word):
\n return True
\n for x, y in list_set:
\n word_x = i + x
\n word_y = j + y
\n if 0<= word_x<row and 0<=word_y<col and board[word_x][word_y] == word[k] and (word_x, word_y) not in path:
\n path.add((word_x, word_y))
\n if dfs(word_x, word_y, k+1, row, col, list_set, board, path):
\n return True
\n path.remove((word_x, word_y))<\/p>\nrow = len(board)
\n col = len(board[0])
\n list_set = [(-1, 0), (1, 0), (0, -1), (0, 1)]
\n k = 1
\n for i in range(row):
\n for j in range(col):
\n if board[i][j] == word[0] and dfs(i, j, k, row, col, list_set, board, {(i, j)}):
\n return True
\n return False <\/p>\n（7）\u5206\u5272\u56de\u6587\u4e32<\/h3>\n
\u9898\u76ee<\/h4>\n
\u7ed9\u4f60\u4e00\u4e2a\u5b57\u7b26\u4e32 s，\u8bf7\u4f60\u5c06 s \u5206\u5272\u6210\u4e00\u4e9b \u5b50\u4e32，\u4f7f\u6bcf\u4e2a\u5b50\u4e32\u90fd\u662f \u56de\u6587\u4e32 \u3002\u8fd4\u56de s \u6240\u6709\u53ef\u80fd\u7684\u5206\u5272\u65b9\u6848\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：s = "aab" \u8f93\u51fa：[["a","a","b"],["aa","b"]]<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：s = "a" \u8f93\u51fa：[["a"]]<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
1 <= s.length <= 16<\/p>\n<\/li>\n
- \n
s \u4ec5\u7531\u5c0f\u5199\u82f1\u6587\u5b57\u6bcd\u7ec4\u6210<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def partition(self, s: str) -> List[List[str]]:
\n '''
\n \u9012\u5f52\u7528\u4e8e\u7eb5\u5411\u904d\u5386
\n for\u5faa\u73af\u7528\u4e8e\u6a2a\u5411\u904d\u5386
\n \u5f53\u5207\u5272\u7ebf\u8fed\u4ee3\u81f3\u5b57\u7b26\u4e32\u672b\u5c3e，\u8bf4\u660e\u627e\u5230\u4e00\u79cd\u65b9\u6cd5
\n \u7c7b\u4f3c\u7ec4\u5408\u95ee\u9898，\u4e3a\u4e86\u4e0d\u91cd\u590d\u5207\u5272\u540c\u4e00\u4f4d\u7f6e，\u9700\u8981start_index\u6765\u505a\u6807\u8bb0\u4e0b\u4e00\u8f6e\u9012\u5f52\u7684\u8d77\u59cb\u4f4d\u7f6e(\u5207\u5272\u7ebf)
\n '''
\n result = []
\n self.backtracking(s, 0, [], result)
\n return result<\/p>\ndef backtracking(self, s, start_index, path, result ):
\n # Base Case
\n if start_index == len(s):
\n result.append(path[:])
\n return<\/p>\n# \u5355\u5c42\u9012\u5f52\u903b\u8f91
\n for i in range(start_index, len(s)):
\n # \u6b64\u6b21\u6bd4\u5176\u4ed6\u7ec4\u5408\u9898\u76ee\u591a\u4e86\u4e00\u6b65\u5224\u65ad：
\n # \u5224\u65ad\u88ab\u622a\u53d6\u7684\u8fd9\u4e00\u6bb5\u5b50\u4e32([start_index, i])\u662f\u5426\u4e3a\u56de\u6587\u4e32
\n if self.is_palindrome(s, start_index, i):
\n path.append(s[start_index:i+1])
\n self.backtracking(s, i+1, path, result) # \u9012\u5f52\u7eb5\u5411\u904d\u5386：\u4ece\u4e0b\u4e00\u5904\u8fdb\u884c\u5207\u5272，\u5224\u65ad\u5176\u4f59\u662f\u5426\u4ecd\u4e3a\u56de\u6587\u4e32
\n path.pop() # \u56de\u6eaf<\/p>\ndef is_palindrome(self, s: str, start: int, end: int) -> bool:
\n i: int = start
\n j: int = end
\n while i < j:
\n if s[i] != s[j]:
\n return False
\n i += 1
\n j -= 1
\n return True <\/p>\n（8）N\u7687\u540e<\/h3>\n
\u9898\u76ee<\/h4>\n
\u6309\u7167\u56fd\u9645\u8c61\u68cb\u7684\u89c4\u5219，\u7687\u540e\u53ef\u4ee5\u653b\u51fb\u4e0e\u4e4b\u5904\u5728\u540c\u4e00\u884c\u6216\u540c\u4e00\u5217\u6216\u540c\u4e00\u659c\u7ebf\u4e0a\u7684\u68cb\u5b50\u3002<\/p>\n
n \u7687\u540e\u95ee\u9898 \u7814\u7a76\u7684\u662f\u5982\u4f55\u5c06 n \u4e2a\u7687\u540e\u653e\u7f6e\u5728 n\u00d7n \u7684\u68cb\u76d8\u4e0a，\u5e76\u4e14\u4f7f\u7687\u540e\u5f7c\u6b64\u4e4b\u95f4\u4e0d\u80fd\u76f8\u4e92\u653b\u51fb\u3002<\/p>\n
\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570 n ，\u8fd4\u56de\u6240\u6709\u4e0d\u540c\u7684 n \u7687\u540e\u95ee\u9898 \u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n
\u6bcf\u4e00\u79cd\u89e3\u6cd5\u5305\u542b\u4e00\u4e2a\u4e0d\u540c\u7684 n \u7687\u540e\u95ee\u9898 \u7684\u68cb\u5b50\u653e\u7f6e\u65b9\u6848，\u8be5\u65b9\u6848\u4e2d 'Q' \u548c '.' \u5206\u522b\u4ee3\u8868\u4e86\u7687\u540e\u548c\u7a7a\u4f4d\u3002<\/p>\n
\u793a\u4f8b 1：<\/p>\n
\u8f93\u5165：n = 4 \u8f93\u51fa：[[".Q..","…Q","Q…","..Q."],["..Q.","Q…","…Q",".Q.."]] \u89e3\u91ca：\u5982\u4e0a\u56fe\u6240\u793a，4 \u7687\u540e\u95ee\u9898\u5b58\u5728\u4e24\u4e2a\u4e0d\u540c\u7684\u89e3\u6cd5\u3002<\/p>\n
\u793a\u4f8b 2：<\/p>\n
\u8f93\u5165：n = 1 \u8f93\u51fa：[["Q"]]<\/p>\n
\u63d0\u793a：<\/p>\n
- \n
- \n
1 <= n <= 9<\/p>\n<\/li>\n<\/ul>\n
\u601d\u8def<\/h4>\n
class Solution:
\n def solveNQueens(self, n: int) -> List[List[str]]:
\n def generateBoard():
\n board = list()
\n for i in range(n):
\n row[queens[i]] = "Q"
\n board.append("".join(row))
\n row[queens[i]] = "."
\n return board<\/p>\ndef backtrack(row: int):
\n if row == n:
\n board = generateBoard()
\n solutions.append(board)
\n else:
\n for i in range(n):
\n if i in columns or row – i in diagonal1 or row + i in diagonal2:
\n continue
\n queens[row] = i
\n columns.add(i)
\n diagonal1.add(row – i)
\n diagonal2.add(row + i)
\n backtrack(row + 1)
\n columns.remove(i)
\n diagonal1.remove(row – i)
\n diagonal2.remove(row + i)<\/p>\nsolutions = list()
\n queens = [-1] * n
\n columns = set()
\n diagonal1 = set()
\n diagonal2 = set()
\n row = ["."] * n
\n backtrack(0)
\n return solutions<\/p>\n#\u94fe\u63a5：https:\/\/leetcode.cn\/problems\/n-queens\/solutions\/398929\/nhuang-hou-by-leetcode-solution\/
\n# \u65f6\u95f4\u590d\u6742\u5ea6：O(N!)，\u5176\u4e2d N \u662f\u7687\u540e\u6570\u91cf\u3002
\n# \u7a7a\u95f4\u590d\u6742\u5ea6：O(N)，\u5176\u4e2d N \u662f\u7687\u540e\u6570\u91cf\u3002\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3b\u8981\u53d6\u51b3\u4e8e\u9012\u5f52\u8c03\u7528\u5c42\u6570\u3001\u8bb0\u5f55\u6bcf\u884c\u653e\u7f6e\u7684\u7687\u540e\u7684\u5217\u4e0b\u6807\u7684\u6570\u7ec4\u4ee5\u53ca\u4e09\u4e2a\u96c6\u5408，\u9012\u5f52\u8c03\u7528\u5c42\u6570\u4e0d\u4f1a\u8d85\u8fc7 N，\u6570\u7ec4\u7684\u957f\u5ea6\u4e3a N，\u6bcf\u4e2a\u96c6\u5408\u7684\u5143\u7d20\u4e2a\u6570\u90fd\u4e0d\u4f1a\u8d85\u8fc7 N\u3002 <\/p>\n\u7ed3\u5c3e<\/h2>\n
\u4eb2\u7231\u7684\u8bfb\u8005\u670b\u53cb：\u611f\u8c22\u60a8\u5728\u7e41\u5fd9\u4e2d\u9a7b\u8db3\u9605\u8bfb\u672c\u671f\u5185\u5bb9！\u60a8\u7684\u5230\u6765\u662f\u5bf9\u6211\u4eec\u6700\u5927\u7684\u652f\u6301\u2764\ufe0f<\/p>\n
\u6b63\u5982\u53e4\u8bed\u6240\u8a00："\u5f53\u5c40\u8005\u8ff7，\u65c1\u89c2\u8005\u6e05"\u3002\u60a8\u72ec\u5230\u7684\u89c1\u89e3\u4e0e\u5ba2\u89c2\u8bc4\u4ef7，\u6070\u4f3c\u4e00\u76cf\u660e\u706f💡，\u80fd\u5e2e\u52a9\u6211\u4eec\u7167\u4eae\u5185\u5bb9\u76f2\u533a，\u8ba9\u672a\u6765\u7684\u521b\u4f5c\u66f4\u52a0\u8d34\u8fd1\u60a8\u7684\u9700\u6c42\u3002<\/p>\n
\u82e5\u6b64\u6587\u7ed9\u60a8\u5e26\u6765\u542f\u53d1\u6216\u6536\u83b7，\u4e0d\u59a8\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u4e3a\u5f7c\u6b64\u642d\u5efa\u4e00\u5ea7\u6865\u6881： \u2728 \u70b9\u51fb\u53f3\u4e0a\u89d2\u3010\u70b9\u8d5e\u3011<\/span>\u56fe\u6807，\u8ba9\u597d\u5185\u5bb9\u88ab\u66f4\u591a\u4eba\u770b\u89c1 \u2728 \u6ed1\u52a8\u5c4f\u5e55\u3010\u6536\u85cf\u3011<\/span>\u672c\u7bc7，\u4fbf\u4e8e\u968f\u65f6\u67e5\u9605\u56de\u5473 \u2728 \u5728\u8bc4\u8bba<\/span>\u533a\u7559\u4e0b\u60a8\u7684\u771f\u77e5\u707c\u89c1，\u8ba9\u6211\u4eec\u5171\u540c\u78b0\u649e\u601d\u7ef4\u7684\u706b\u82b1<\/p>\n
\u6211\u59cb\u7ec8\u79c9\u6301\u5320\u5fc3\u7cbe\u795e，\u4ee5\u952e\u76d8\u4e3a\u7281\u94e7\u6df1\u8015\u77e5\u8bc6\u6c83\u571f💻，\u7528\u6bcf\u4e00\u6b21\u6572\u51fb\u4f20\u9012\u4e13\u4e1a\u4ef7\u503c，\u4e0d\u65ad\u4f18\u5316\u5185\u5bb9\u5448\u73b0\u5f62\u5f0f，\u529b\u6c42\u4e3a\u60a8\u6253\u9020\u6c89\u6d78\u5f0f\u7684\u9605\u8bfb\u76db\u5bb4📚\u3002<\/p>\n
\u6709\u4efb\u4f55\u7591\u95ee\u6216\u5efa\u8bae？\u8bc4\u8bba\u533a\u5c31\u662f\u6211\u4eec\u7684\u8fde\u5fc3\u6865！\u60a8\u7684\u6bcf\u4e00\u6761\u7559\u8a00\u6211\u90fd\u5c06\u8ba4\u771f\u7814\u8bfb，\u5e76\u572824\u5c0f\u65f6\u5185\u56de\u590d\u89e3\u7b54📝\u3002<\/p>\n
\u613f\u6211\u4eec\u643a\u624b\u540c\u884c，\u5728\u77e5\u8bc6\u7684\u96e8\u6797\u4e2d\u8301\u58ee\u6210\u957f🌳，\u5171\u4eab\u601d\u60f3\u7efd\u653e\u7684\u7518\u751c\u679c\u5b9e\u3002\u4e0b\u671f\u76f8\u9047\u65f6，\u671f\u5f85\u770b\u5230\u60a8\u667a\u6167\u7684\u8bc4\u8bba\u4e0e\u95ea\u4eae\u7684\u70b9\u8d5e\u8eab\u5f71\u2728！<\/p>\n
\n\u81ea\u6211\u4ecb\u7ecd：\u4e00\u7ebf\u4e92\u8054\u7f51\u5927\u5382\u8d44\u6df1\u7b97\u6cd5\u7814\u53d1（\u5de5\u4f5c6\u5e74+），4\u5e74\u4ee5\u4e0a\u62db\u8058\u9762\u8bd5\u5b98\u7ecf\u9a8c（\u4e00\u4e8c\u9762\u9762\u8bd5\u5b98，\u9762\u8bd5\u5019\u9009\u4eba400+），\u6df1\u8c19\u5c97\u4f4d\u4e13\u4e1a\u77e5\u8bc6\u3001\u6280\u80fd\u96f7\u8fbe\u56fe，\u5df2\u7d2f\u8ba1\u8f85\u5bfc15+\u6c42\u804c\u8005\u987a\u5229\u5165\u804c\u5927\u4e2d\u578b\u4e92\u8054\u7f51\u516c\u53f8\u3002\u719f\u7ec3\u638c\u63e1\u5927\u6a21\u578b\u3001NLP\u3001\u641c\u7d22\u3001\u63a8\u8350\u3001\u6570\u636e\u6316\u6398\u7b97\u6cd5\u548c\u4f18\u5316，\u63d0\u4f9b\u9762\u8bd5\u8f85\u5bfc\u3001\u4e13\u4e1a\u77e5\u8bc6\u5165\u95e8\u5230\u8fdb\u9636\u8f85\u5bfc\u7b49\u5b9a\u5236\u5316\u9700\u6c42\u7b49\u670d\u52a1，\u52a9\u529b\u60a8\u987a\u5229\u5b8c\u6210\u5b66\u4e60\u548c\u6c42\u804c\u4e4b\u65c5（\u6709\u9700\u8981\u8005\u53ef\u79c1\u4fe1\u8054\u7cfb）\u00a0<\/p>\n
\u53cb\u53cb\u4eec，\u81ea\u5df1\u7684\u77e5\u4e4e\u8d26\u53f7\u4e3a\u201c\u5feb\u4e50\u661f\u7403\u201d<\/span>，\u5b9a\u671f\u66f4\u65b0\u6280\u672f\u6587\u7ae0，\u656c\u8bf7\u5173\u6ce8！<\/p>\n","protected":false},"excerpt":{"rendered":"
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