1.1 \u6838\u5fc3\u5b9a\u4e49\u4e0e\u7279\u6027<\/h3>\n\n- \n
\u5c42\u7ea7\u7ed3\u6784：\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9（\u5de6\/\u53f3\u5b50\u6811）<\/p>\n<\/li>\n
- \n
\u903b\u8f91\u5173\u7cfb：\u8282\u70b9\u95f4\u5b58\u5728\u7236\u5b50\u5c42\u7ea7\u5173\u7cfb（\u6839\u8282\u70b9\u3001\u53f6\u8282\u70b9\u7b49）<\/p>\n<\/li>\n
- \n
\u7279\u6b8a\u5f62\u6001：<\/p>\n
\n- \n
\u5b8c\u5168\u4e8c\u53c9\u6811：\u9664\u6700\u540e\u4e00\u5c42\u5916\u5168\u6ee1，\u6700\u540e\u4e00\u5c42\u8282\u70b9\u4ece\u5de6\u5411\u53f3\u8fde\u7eed\u6392\u5217<\/p>\n<\/li>\n
- \n
\u4e8c\u53c9\u641c\u7d22\u6811(BST)：\u5de6\u5b50\u6811 < \u6839\u8282\u70b9 < \u53f3\u5b50\u6811<\/p>\n<\/li>\n
- \n
\u5e73\u8861\u4e8c\u53c9\u6811(AVL\/\u7ea2\u9ed1\u6811)：\u901a\u8fc7\u65cb\u8f6c\u4fdd\u6301\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u5dee\u22641<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816034517-689ffecdc9aed.png\")
<\/p>\n
\u5b8c\u5168\u4e8c\u53c9\u6811\u793a\u4f8b：\u8282\u70b9\u6309\u5c42\u7ea7\u4ece\u5de6\u5230\u53f3\u8fde\u7eed\u6392\u5217<\/p>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816034522-689ffed2609fb.png\")
<\/p>\n
\u4e8c\u3001\u4e8c\u53c9\u6811\u7684\u4e24\u79cd\u5b58\u50a8\u65b9\u5f0f<\/h2>\n2.1 \u94fe\u5f0f\u5b58\u50a8（\u4e3b\u6d41\u65b9\u5f0f）<\/h3>\n
class Node:
\n def __init__(self, data):
\n self.data = data # \u6570\u636e\u57df
\n self.lchild = None # \u5de6\u5b50\u8282\u70b9\u6307\u9488
\n self.rchild = None # \u53f3\u5b50\u8282\u70b9\u6307\u9488 <\/p>\n
\n- \n
\u4f18\u52bf：\u7075\u6d3b\u5904\u7406\u975e\u5b8c\u5168\u4e8c\u53c9\u6811<\/p>\n<\/li>\n
- \n
\u7f3a\u70b9：\u989d\u5916\u5b58\u50a8\u6307\u9488\u7a7a\u95f4<\/p>\n<\/li>\n<\/ul>\n
2.2 \u987a\u5e8f\u5b58\u50a8（\u9002\u5408\u5b8c\u5168\u4e8c\u53c9\u6811）<\/h3>\n
# \u7528\u6570\u7ec4\u5b58\u50a8\u5b8c\u5168\u4e8c\u53c9\u6811
\nheap = [None, 'A', 'B', 'C', 'D', 'E', 'F', 'G']
\n# \u4e0b\u6807\u5173\u7cfb：
\n# \u8282\u70b9i\u7684\u7236\u8282\u70b9 = i\/\/2
\n# \u5de6\u5b50\u8282\u70b9 = 2*i
\n# \u53f3\u5b50\u8282\u70b9 = 2*i+1 <\/p>\n
\n- \n
\u9002\u7528\u573a\u666f：\u5806\u7ed3\u6784（\u5927\u9876\u5806\/\u5c0f\u9876\u5806）<\/p>\n<\/li>\n
- \n
\u4f18\u52bf：\u7701\u6307\u9488\u7a7a\u95f4，\u5feb\u901f\u5b9a\u4f4d\u7236\u5b50\u8282\u70b9<\/p>\n<\/li>\n<\/ul>\n
\u4e09\u3001\u4e8c\u53c9\u6811\u904d\u5386：\u4e09\u5927\u7ecf\u5178\u65b9\u5f0f（\u9644\u52a8\u56fe\u89e3\u6790）<\/h2>\n3.1 \u904d\u5386\u65b9\u5f0f\u5bf9\u6bd4<\/h3>\n
\n\u904d\u5386\u7c7b\u578b\u8bbf\u95ee\u987a\u5e8f\u5e94\u7528\u573a\u666f<\/tr>\n \n\n\u524d\u5e8f\u904d\u5386<\/td>\n \u6839 \u2192 \u5de6 \u2192 \u53f3<\/td>\n \u590d\u5236\u4e8c\u53c9\u6811\u7ed3\u6784<\/td>\n<\/tr>\n \n\u4e2d\u5e8f\u904d\u5386<\/td>\n \u5de6 \u2192 \u6839 \u2192 \u53f3<\/td>\n \u4e8c\u53c9\u641c\u7d22\u6811\u83b7\u53d6\u6709\u5e8f\u5e8f\u5217<\/td>\n<\/tr>\n \n\u540e\u5e8f\u904d\u5386<\/td>\n \u5de6 \u2192 \u53f3 \u2192 \u6839<\/td>\n \u91ca\u653e\u4e8c\u53c9\u6811\u5185\u5b58<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816034525-689ffed54c9c0.png\")
<\/p>\n
class Node():
\n def __init__(self, data):
\n self.data = data
\n self.lchild = None
\n self.rchild = None<\/p>\n
class Tree():
\n def __init__(self):
\n self.root = None<\/p>\n
def add(self,data):
\n node = Node(data)
\n if self.root is None:
\n self.root = node
\n return
\n queue = [self.root]
\n while queue:
\n cur_node = queue.pop(0)
\n if cur_node.lchild is None:
\n cur_node.lchild = node
\n return
\n else:
\n queue.append(cur_node.lchild)
\n if cur_node.rchild is None:
\n cur_node.rchild = node
\n return
\n else:
\n queue.append(cur_node.rchild)<\/p>\n
#\u904d\u5386
\n#\u524d\u5e8f
\n def front(self,node):
\n if node is None:
\n return
\n print(node.data, end=" ")
\n self.front(node.lchild)
\n self.front(node.rchild)<\/p>\n
#\u4e2d\u5e8f
\n def inorder(self,node):
\n if node is None:
\n return
\n self.inorder(node.lchild)
\n print(node.data, end=" ")
\n self.inorder(node.rchild)<\/p>\n
#\u540e\u5e8f
\n def afterorder(self,node):
\n if node is None:
\n return
\n self.afterorder(node.lchild)
\n self.afterorder(node.rchild)
\n print(node.data, end=" ")<\/p>\n
if __name__ == '__main__':
\n tree = Tree()
\n tree.add("A")
\n tree.add("B")
\n tree.add("C")
\n tree.add("D")
\n tree.add("E")
\n tree.add("F")
\n tree.add("G")<\/p>\n
tree.front(tree.root)
\n print()
\n tree.inorder(tree.root)
\n print()
\n tree.afterorder(tree.root) <\/p>\n
\u56db\u3001\u5806\u4e0e\u5806\u6392\u5e8f：\u4e8c\u53c9\u6811\u7684\u9ad8\u6548\u5e94\u7528<\/h2>\n4.1 \u5806\u7684\u672c\u8d28<\/h3>\n\n- \n
\u5927\u9876\u5806：\u7236\u8282\u70b9\u503c \u2265 \u5b50\u8282\u70b9\u503c（\u6839\u8282\u70b9\u6700\u5927）<\/p>\n<\/li>\n
- \u5c0f\u9876\u5806：\u7236\u8282\u70b9\u503c \u2264 \u5b50\u8282\u70b9\u503c（\u6839\u8282\u70b9\u6700\u5c0f）<\/li>\n<\/ul>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816034528-689ffed8de9b2.png\")
<\/p>\n
4.2 \u5806\u6392\u5e8f\u56db\u6b65\u6cd5<\/h3>\n
- \n
\u5efa\u5806：\u5c06\u65e0\u5e8f\u6570\u7ec4\u8c03\u6574\u4e3a\u5806\u7ed3\u6784<\/p>\n<\/li>\n
- \n
\u53d6\u9876：\u5806\u9876\u5143\u7d20（\u5f53\u524d\u6700\u5927\u503c）\u4ea4\u6362\u5230\u6570\u7ec4\u672b\u5c3e<\/p>\n<\/li>\n
- \n
\u8c03\u6574：\u5bf9\u5269\u4f59\u5143\u7d20\u91cd\u65b0\u8c03\u6574\u4e3a\u5806<\/p>\n<\/li>\n
- \n
\u91cd\u590d：\u76f4\u5230\u5806\u4e2d\u53ea\u5269\u4e00\u4e2a\u5143\u7d20<\/p>\n<\/li>\n
def heapify(arr, n, i):
\n """\u5806\u7684\u5411\u4e0b\u8c03\u6574"""
\n largest = i
\n left = 2 * i + 1
\n right = 2 * i + 2<\/p>\n
if left < n and arr[left] > arr[largest]:
\n largest = left
\n if right < n and arr[right] > arr[largest]:
\n largest = right<\/p>\n
if largest != i:
\n arr[i], arr[largest] = arr[largest], arr[i]
\n heapify(arr, n, largest) # \u9012\u5f52\u8c03\u6574\u5b50\u5806<\/p>\n
def heap_sort(arr):
\n n = len(arr)
\n # \u5efa\u5806（\u4ece\u6700\u540e\u4e00\u4e2a\u975e\u53f6\u8282\u70b9\u5f00\u59cb）
\n for i in range(n\/\/2 – 1, -1, -1):
\n heapify(arr, n, i)<\/p>\n
# \u9010\u4e2a\u63d0\u53d6\u5143\u7d20
\n for i in range(n-1, 0, -1):
\n arr[0], arr[i] = arr[i], arr[0] # \u4ea4\u6362\u5806\u9876\u548c\u672b\u5c3e
\n heapify(arr, i, 0) # \u8c03\u6574\u5269\u4f59\u5806<\/p>\n
# \u6d4b\u8bd5
\narr = [12, 11, 13, 5, 6, 7]
\nheap_sort(arr)
\nprint("\u6392\u5e8f\u7ed3\u679c:", arr) # \u8f93\u51fa：[5, 6, 7, 11, 12, 13] <\/p>\n
\u4e94\u3001\u4e8c\u53c9\u6811\u5b9e\u6218\u5e94\u7528\u573a\u666f<\/h2>\n
- \n
\u6570\u636e\u5e93\u7d22\u5f15：B+\u6811\u52a0\u901f\u767e\u4e07\u7ea7\u6570\u636e\u68c0\u7d22<\/p>\n<\/li>\n
- \n
\u6587\u4ef6\u7cfb\u7edf：\u76ee\u5f55\u6811\u7ed3\u6784\u7ba1\u7406\u6587\u4ef6\u5c42\u7ea7<\/p>\n<\/li>\n
- \n
\u6e38\u620f\u5f00\u53d1：\u573a\u666f\u6811\u7ba1\u7406\u6e32\u67d3\u5bf9\u8c61<\/p>\n<\/li>\n
- \n
\u538b\u7f29\u7b97\u6cd5：\u54c8\u592b\u66fc\u6811\u5b9e\u73b0\u65e0\u635f\u538b\u7f29<\/p>\n<\/li>\n
- \n
\u4efb\u52a1\u8c03\u5ea6：\u5806\u7ed3\u6784\u5b9e\u73b0\u4f18\u5148\u7ea7\u961f\u5217<\/p>\n<\/li>\n
\u6027\u80fd\u5bf9\u6bd4\u8868：<\/p>\n
\n\u64cd\u4f5c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u9002\u7528\u7ed3\u6784<\/tr>\n \n\n\u6570\u636e\u68c0\u7d22<\/td>\n O(log n)<\/td>\n \u4e8c\u53c9\u641c\u7d22\u6811<\/td>\n<\/tr>\n \n\u6700\u5927\u503c\u83b7\u53d6<\/td>\n O(1)<\/td>\n \u5927\u9876\u5806<\/td>\n<\/tr>\n \n\u52a8\u6001\u589e\u5220\u8282\u70b9<\/td>\n O(log n)<\/td>\n \u5e73\u8861\u4e8c\u53c9\u6811(AVL)<\/td>\n<\/tr>\n \n\u5c42\u7ea7\u6570\u636e\u5904\u7406<\/td>\n O(n)<\/td>\n \u666e\u901a\u4e8c\u53c9\u6811\u904d\u5386<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\u516d\u3001\u9762\u8bd5\u9ad8\u9891\u8003\u70b9\u89e3\u6790<\/h2>\n
- \n
\u5982\u4f55\u5224\u65ad\u5b8c\u5168\u4e8c\u53c9\u6811？<\/p>\n
\n- \n
\u5c42\u5e8f\u904d\u5386，\u9047\u5230\u7a7a\u8282\u70b9\u540e\u4e0d\u5e94\u518d\u51fa\u73b0\u975e\u7a7a\u8282\u70b9<\/p>\n<\/li>\n<\/ul>\n<\/li>\n
- \n
\u4e3a\u4ec0\u4e48\u6570\u636e\u5e93\u7528B+\u6811\u4e0d\u7528\u4e8c\u53c9\u6811？<\/p>\n
\n- \n
B+\u6811\u77ee\u80d6\u7ed3\u6784\u51cf\u5c11\u78c1\u76d8IO（\u4e8c\u53c9\u6811\u5728\u6570\u636e\u91cf\u5927\u65f6\u9ad8\u5ea6\u6fc0\u589e）<\/p>\n<\/li>\n<\/ul>\n<\/li>\n
- \n
\u624b\u5199\u975e\u9012\u5f52\u904d\u5386\u5b9e\u73b0<\/p>\n<\/li>\n
# \u524d\u5e8f\u904d\u5386\u7684\u975e\u9012\u5f52\u5b9e\u73b0（\u4f7f\u7528\u6808）
\ndef preorder_iterative(root):
\n stack = [root]
\n while stack:
\n node = stack.pop()
\n if node:
\n print(node.data, end=" ")
\n stack.append(node.rchild) # \u53f3\u5b50\u5148\u5165\u6808
\n stack.append(node.lchild) # \u5de6\u5b50\u540e\u5165\u6808（\u5148\u51fa） <\/p>\n
\u6700\u540e\u6311\u6218：<\/h2>\n
\u5982\u4f55\u7528O(1)\u7a7a\u95f4\u590d\u6742\u5ea6\u5b9e\u73b0Morris\u4e2d\u5e8f\u904d\u5386？\u8bc4\u8bba\u533a\u7559\u4e0b\u4f60\u7684\u601d\u8def！<\/p>\n
\u8d44\u6e90\u63a8\u8350：<\/p>\n
- \n
\u300a\u7b97\u6cd5\u5bfc\u8bba\u300b\u7b2c6\u7ae0 – \u5806\u6392\u5e8f\u4e0e\u4e8c\u53c9\u6811<\/p>\n<\/li>\n
- \n
VisuAlgo.net – \u4e8c\u53c9\u6811\u52a8\u6001\u53ef\u89c6\u5316\u5de5\u5177<\/p>\n<\/li>\n
- \n
LeetCode\u4e8c\u53c9\u6811\u4e13\u9898 – \u7cbe\u900950\u9898\u8bad\u7ec3<\/p>\n<\/li>\n","protected":false},"excerpt":{"rendered":"
\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb180\u6b21\uff0c\u70b9\u8d5e11\u6b21\uff0c\u6536\u85cf9\u6b21\u3002\u5c42\u7ea7\u7ed3\u6784\uff1a\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9\uff08\u5de6\/\u53f3\u5b50\u6811\uff09\u903b\u8f91\u5173\u7cfb\uff1a\u8282\u70b9\u95f4\u5b58\u5728\u7236\u5b50\u5c42\u7ea7\u5173\u7cfb\uff08\u6839\u8282\u70b9\u3001\u53f6\u8282\u70b9\u7b49\uff09\u7279\u6b8a\u5f62\u6001\u5b8c\u5168\u4e8c\u53c9\u6811\uff1a\u9664\u6700\u540e\u4e00\u5c42\u5916\u5168\u6ee1\uff0c\u6700\u540e\u4e00\u5c42\u8282\u70b9\u4ece\u5de6\u5411\u53f3\u8fde\u7eed\u6392\u5217\u4e8c\u53c9\u641c\u7d22\u6811(BST)\uff1a\u5de6\u5b50\u6811 < \u6839\u8282\u70b9 < \u53f3\u5b50\u6811\u5e73\u8861\u4e8c\u53c9\u6811(AVL\/\u7ea2\u9ed1\u6811)\uff1a\u901a\u8fc7\u65cb\u8f6c\u4fdd\u6301\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u5dee\u22641\u5b8c\u5168\u4e8c\u53c9\u6811\u793a\u4f8b\uff1a\u8282\u70b9\u6309\u5c42\u7ea7\u4ece\u5de6\u5230\u53f3\u8fde\u7eed\u6392\u5217\u3002<\/p>\n","protected":false},"author":2,"featured_media":58499,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[81,4617,3744,190,1813,1982],"topic":[],"class_list":["post-58503","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-python","tag-4617","tag-3744","tag-190","tag-1813","tag-1982"],"yoast_head":"\n
\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/58503.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb180\u6b21\uff0c\u70b9\u8d5e11\u6b21\uff0c\u6536\u85cf9\u6b21\u3002\u5c42\u7ea7\u7ed3\u6784\uff1a\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9\uff08\u5de6\/\u53f3\u5b50\u6811\uff09\u903b\u8f91\u5173\u7cfb\uff1a\u8282\u70b9\u95f4\u5b58\u5728\u7236\u5b50\u5c42\u7ea7\u5173\u7cfb\uff08\u6839\u8282\u70b9\u3001\u53f6\u8282\u70b9\u7b49\uff09\u7279\u6b8a\u5f62\u6001\u5b8c\u5168\u4e8c\u53c9\u6811\uff1a\u9664\u6700\u540e\u4e00\u5c42\u5916\u5168\u6ee1\uff0c\u6700\u540e\u4e00\u5c42\u8282\u70b9\u4ece\u5de6\u5411\u53f3\u8fde\u7eed\u6392\u5217\u4e8c\u53c9\u641c\u7d22\u6811(BST)\uff1a\u5de6\u5b50\u6811 < \u6839\u8282\u70b9 < \u53f3\u5b50\u6811\u5e73\u8861\u4e8c\u53c9\u6811(AVL\/\u7ea2\u9ed1\u6811)\uff1a\u901a\u8fc7\u65cb\u8f6c\u4fdd\u6301\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u5dee\u22641\u5b8c\u5168\u4e8c\u53c9\u6811\u793a\u4f8b\uff1a\u8282\u70b9\u6309\u5c42\u7ea7\u4ece\u5de6\u5230\u53f3\u8fde\u7eed\u6392\u5217\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/58503.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2025-08-16T03:45:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816034517-689ffecdc9aed.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/58503.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/58503.html\",\"name\":\"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2025-08-16T03:45:34+00:00\",\"dateModified\":\"2025-08-16T03:45:34+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/58503.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/58503.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/58503.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/58503.html","og_locale":"zh_CN","og_type":"article","og_title":"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb180\u6b21\uff0c\u70b9\u8d5e11\u6b21\uff0c\u6536\u85cf9\u6b21\u3002\u5c42\u7ea7\u7ed3\u6784\uff1a\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9\uff08\u5de6\/\u53f3\u5b50\u6811\uff09\u903b\u8f91\u5173\u7cfb\uff1a\u8282\u70b9\u95f4\u5b58\u5728\u7236\u5b50\u5c42\u7ea7\u5173\u7cfb\uff08\u6839\u8282\u70b9\u3001\u53f6\u8282\u70b9\u7b49\uff09\u7279\u6b8a\u5f62\u6001\u5b8c\u5168\u4e8c\u53c9\u6811\uff1a\u9664\u6700\u540e\u4e00\u5c42\u5916\u5168\u6ee1\uff0c\u6700\u540e\u4e00\u5c42\u8282\u70b9\u4ece\u5de6\u5411\u53f3\u8fde\u7eed\u6392\u5217\u4e8c\u53c9\u641c\u7d22\u6811(BST)\uff1a\u5de6\u5b50\u6811 < \u6839\u8282\u70b9 < \u53f3\u5b50\u6811\u5e73\u8861\u4e8c\u53c9\u6811(AVL\/\u7ea2\u9ed1\u6811)\uff1a\u901a\u8fc7\u65cb\u8f6c\u4fdd\u6301\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u5dee\u22641\u5b8c\u5168\u4e8c\u53c9\u6811\u793a\u4f8b\uff1a\u8282\u70b9\u6309\u5c42\u7ea7\u4ece\u5de6\u5230\u53f3\u8fde\u7eed\u6392\u5217\u3002","og_url":"https:\/\/www.wsisp.com\/helps\/58503.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2025-08-16T03:45:34+00:00","og_image":[{"url":"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816034517-689ffecdc9aed.png"}],"author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"2 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/58503.html","url":"https:\/\/www.wsisp.com\/helps\/58503.html","name":"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2025-08-16T03:45:34+00:00","dateModified":"2025-08-16T03:45:34+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/58503.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/58503.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/58503.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"\u4e8c\u53c9\u6811\u901a\u5173\u79d8\u7c4d\uff1a\u7ed3\u6784\u3001\u904d\u5386\u4e0e\u5806\u6392\u5e8f\u5168\u89e3\u6790\uff08\u9644Python\u5b9e\u6218\uff09"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/58503","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=58503"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/58503\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media\/58499"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=58503"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=58503"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=58503"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=58503"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u5c42\u7ea7\u7ed3\u6784：\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9（\u5de6\/\u53f3\u5b50\u6811）<\/p>\n<\/li>\n
\u903b\u8f91\u5173\u7cfb：\u8282\u70b9\u95f4\u5b58\u5728\u7236\u5b50\u5c42\u7ea7\u5173\u7cfb（\u6839\u8282\u70b9\u3001\u53f6\u8282\u70b9\u7b49）<\/p>\n<\/li>\n
\u7279\u6b8a\u5f62\u6001：<\/p>\n
- \n
- \n
\u5b8c\u5168\u4e8c\u53c9\u6811：\u9664\u6700\u540e\u4e00\u5c42\u5916\u5168\u6ee1，\u6700\u540e\u4e00\u5c42\u8282\u70b9\u4ece\u5de6\u5411\u53f3\u8fde\u7eed\u6392\u5217<\/p>\n<\/li>\n
- \n
\u4e8c\u53c9\u641c\u7d22\u6811(BST)：\u5de6\u5b50\u6811 < \u6839\u8282\u70b9 < \u53f3\u5b50\u6811<\/p>\n<\/li>\n
- \n
\u5e73\u8861\u4e8c\u53c9\u6811(AVL\/\u7ea2\u9ed1\u6811)：\u901a\u8fc7\u65cb\u8f6c\u4fdd\u6301\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u5dee\u22641<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
<\/p>\n\u5b8c\u5168\u4e8c\u53c9\u6811\u793a\u4f8b：\u8282\u70b9\u6309\u5c42\u7ea7\u4ece\u5de6\u5230\u53f3\u8fde\u7eed\u6392\u5217<\/p>\n
<\/p>\n\u4e8c\u3001\u4e8c\u53c9\u6811\u7684\u4e24\u79cd\u5b58\u50a8\u65b9\u5f0f<\/h2>\n
2.1 \u94fe\u5f0f\u5b58\u50a8（\u4e3b\u6d41\u65b9\u5f0f）<\/h3>\n
class Node:
\n def __init__(self, data):
\n self.data = data # \u6570\u636e\u57df
\n self.lchild = None # \u5de6\u5b50\u8282\u70b9\u6307\u9488
\n self.rchild = None # \u53f3\u5b50\u8282\u70b9\u6307\u9488 <\/p>\n- \n
- \n
\u4f18\u52bf：\u7075\u6d3b\u5904\u7406\u975e\u5b8c\u5168\u4e8c\u53c9\u6811<\/p>\n<\/li>\n
- \n
\u7f3a\u70b9：\u989d\u5916\u5b58\u50a8\u6307\u9488\u7a7a\u95f4<\/p>\n<\/li>\n<\/ul>\n
2.2 \u987a\u5e8f\u5b58\u50a8（\u9002\u5408\u5b8c\u5168\u4e8c\u53c9\u6811）<\/h3>\n
# \u7528\u6570\u7ec4\u5b58\u50a8\u5b8c\u5168\u4e8c\u53c9\u6811
\nheap = [None, 'A', 'B', 'C', 'D', 'E', 'F', 'G']
\n# \u4e0b\u6807\u5173\u7cfb：
\n# \u8282\u70b9i\u7684\u7236\u8282\u70b9 = i\/\/2
\n# \u5de6\u5b50\u8282\u70b9 = 2*i
\n# \u53f3\u5b50\u8282\u70b9 = 2*i+1 <\/p>\n- \n
- \n
\u9002\u7528\u573a\u666f：\u5806\u7ed3\u6784（\u5927\u9876\u5806\/\u5c0f\u9876\u5806）<\/p>\n<\/li>\n
- \n
\u4f18\u52bf：\u7701\u6307\u9488\u7a7a\u95f4，\u5feb\u901f\u5b9a\u4f4d\u7236\u5b50\u8282\u70b9<\/p>\n<\/li>\n<\/ul>\n
\u4e09\u3001\u4e8c\u53c9\u6811\u904d\u5386：\u4e09\u5927\u7ecf\u5178\u65b9\u5f0f（\u9644\u52a8\u56fe\u89e3\u6790）<\/h2>\n
3.1 \u904d\u5386\u65b9\u5f0f\u5bf9\u6bd4<\/h3>\n
\n
\u904d\u5386\u7c7b\u578b\u8bbf\u95ee\u987a\u5e8f\u5e94\u7528\u573a\u666f<\/tr>\n \n\n \u524d\u5e8f\u904d\u5386<\/td>\n \u6839 \u2192 \u5de6 \u2192 \u53f3<\/td>\n \u590d\u5236\u4e8c\u53c9\u6811\u7ed3\u6784<\/td>\n<\/tr>\n \n \u4e2d\u5e8f\u904d\u5386<\/td>\n \u5de6 \u2192 \u6839 \u2192 \u53f3<\/td>\n \u4e8c\u53c9\u641c\u7d22\u6811\u83b7\u53d6\u6709\u5e8f\u5e8f\u5217<\/td>\n<\/tr>\n \n \u540e\u5e8f\u904d\u5386<\/td>\n \u5de6 \u2192 \u53f3 \u2192 \u6839<\/td>\n \u91ca\u653e\u4e8c\u53c9\u6811\u5185\u5b58<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n <\/p>\nclass Node():
\n def __init__(self, data):
\n self.data = data
\n self.lchild = None
\n self.rchild = None<\/p>\nclass Tree():
\n def __init__(self):
\n self.root = None<\/p>\ndef add(self,data):
\n node = Node(data)
\n if self.root is None:
\n self.root = node
\n return
\n queue = [self.root]
\n while queue:
\n cur_node = queue.pop(0)
\n if cur_node.lchild is None:
\n cur_node.lchild = node
\n return
\n else:
\n queue.append(cur_node.lchild)
\n if cur_node.rchild is None:
\n cur_node.rchild = node
\n return
\n else:
\n queue.append(cur_node.rchild)<\/p>\n#\u904d\u5386
\n#\u524d\u5e8f
\n def front(self,node):
\n if node is None:
\n return
\n print(node.data, end=" ")
\n self.front(node.lchild)
\n self.front(node.rchild)<\/p>\n#\u4e2d\u5e8f
\n def inorder(self,node):
\n if node is None:
\n return
\n self.inorder(node.lchild)
\n print(node.data, end=" ")
\n self.inorder(node.rchild)<\/p>\n#\u540e\u5e8f
\n def afterorder(self,node):
\n if node is None:
\n return
\n self.afterorder(node.lchild)
\n self.afterorder(node.rchild)
\n print(node.data, end=" ")<\/p>\nif __name__ == '__main__':
\n tree = Tree()
\n tree.add("A")
\n tree.add("B")
\n tree.add("C")
\n tree.add("D")
\n tree.add("E")
\n tree.add("F")
\n tree.add("G")<\/p>\ntree.front(tree.root)
\n print()
\n tree.inorder(tree.root)
\n print()
\n tree.afterorder(tree.root) <\/p>\n\u56db\u3001\u5806\u4e0e\u5806\u6392\u5e8f：\u4e8c\u53c9\u6811\u7684\u9ad8\u6548\u5e94\u7528<\/h2>\n
4.1 \u5806\u7684\u672c\u8d28<\/h3>\n
- \n
- \n
\u5927\u9876\u5806：\u7236\u8282\u70b9\u503c \u2265 \u5b50\u8282\u70b9\u503c（\u6839\u8282\u70b9\u6700\u5927）<\/p>\n<\/li>\n
- \u5c0f\u9876\u5806：\u7236\u8282\u70b9\u503c \u2264 \u5b50\u8282\u70b9\u503c（\u6839\u8282\u70b9\u6700\u5c0f）<\/li>\n<\/ul>\n<\/p>\n
4.2 \u5806\u6392\u5e8f\u56db\u6b65\u6cd5<\/h3>\n
- \n
\u5efa\u5806：\u5c06\u65e0\u5e8f\u6570\u7ec4\u8c03\u6574\u4e3a\u5806\u7ed3\u6784<\/p>\n<\/li>\n
- \n
\u53d6\u9876：\u5806\u9876\u5143\u7d20（\u5f53\u524d\u6700\u5927\u503c）\u4ea4\u6362\u5230\u6570\u7ec4\u672b\u5c3e<\/p>\n<\/li>\n
- \n
\u8c03\u6574：\u5bf9\u5269\u4f59\u5143\u7d20\u91cd\u65b0\u8c03\u6574\u4e3a\u5806<\/p>\n<\/li>\n
- \n
\u91cd\u590d：\u76f4\u5230\u5806\u4e2d\u53ea\u5269\u4e00\u4e2a\u5143\u7d20<\/p>\n<\/li>\n
def heapify(arr, n, i):
\n """\u5806\u7684\u5411\u4e0b\u8c03\u6574"""
\n largest = i
\n left = 2 * i + 1
\n right = 2 * i + 2<\/p>\nif left < n and arr[left] > arr[largest]:
\n largest = left
\n if right < n and arr[right] > arr[largest]:
\n largest = right<\/p>\nif largest != i:
\n arr[i], arr[largest] = arr[largest], arr[i]
\n heapify(arr, n, largest) # \u9012\u5f52\u8c03\u6574\u5b50\u5806<\/p>\ndef heap_sort(arr):
\n n = len(arr)
\n # \u5efa\u5806（\u4ece\u6700\u540e\u4e00\u4e2a\u975e\u53f6\u8282\u70b9\u5f00\u59cb）
\n for i in range(n\/\/2 – 1, -1, -1):
\n heapify(arr, n, i)<\/p>\n# \u9010\u4e2a\u63d0\u53d6\u5143\u7d20
\n for i in range(n-1, 0, -1):
\n arr[0], arr[i] = arr[i], arr[0] # \u4ea4\u6362\u5806\u9876\u548c\u672b\u5c3e
\n heapify(arr, i, 0) # \u8c03\u6574\u5269\u4f59\u5806<\/p>\n# \u6d4b\u8bd5
\narr = [12, 11, 13, 5, 6, 7]
\nheap_sort(arr)
\nprint("\u6392\u5e8f\u7ed3\u679c:", arr) # \u8f93\u51fa：[5, 6, 7, 11, 12, 13] <\/p>\n\u4e94\u3001\u4e8c\u53c9\u6811\u5b9e\u6218\u5e94\u7528\u573a\u666f<\/h2>\n
- \n
\u6570\u636e\u5e93\u7d22\u5f15：B+\u6811\u52a0\u901f\u767e\u4e07\u7ea7\u6570\u636e\u68c0\u7d22<\/p>\n<\/li>\n
- \n
\u6587\u4ef6\u7cfb\u7edf：\u76ee\u5f55\u6811\u7ed3\u6784\u7ba1\u7406\u6587\u4ef6\u5c42\u7ea7<\/p>\n<\/li>\n
- \n
\u6e38\u620f\u5f00\u53d1：\u573a\u666f\u6811\u7ba1\u7406\u6e32\u67d3\u5bf9\u8c61<\/p>\n<\/li>\n
- \n
\u538b\u7f29\u7b97\u6cd5：\u54c8\u592b\u66fc\u6811\u5b9e\u73b0\u65e0\u635f\u538b\u7f29<\/p>\n<\/li>\n
- \n
\u4efb\u52a1\u8c03\u5ea6：\u5806\u7ed3\u6784\u5b9e\u73b0\u4f18\u5148\u7ea7\u961f\u5217<\/p>\n<\/li>\n
\u6027\u80fd\u5bf9\u6bd4\u8868：<\/p>\n
\n
\u64cd\u4f5c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u9002\u7528\u7ed3\u6784<\/tr>\n \n\n \u6570\u636e\u68c0\u7d22<\/td>\n O(log n)<\/td>\n \u4e8c\u53c9\u641c\u7d22\u6811<\/td>\n<\/tr>\n \n \u6700\u5927\u503c\u83b7\u53d6<\/td>\n O(1)<\/td>\n \u5927\u9876\u5806<\/td>\n<\/tr>\n \n \u52a8\u6001\u589e\u5220\u8282\u70b9<\/td>\n O(log n)<\/td>\n \u5e73\u8861\u4e8c\u53c9\u6811(AVL)<\/td>\n<\/tr>\n \n \u5c42\u7ea7\u6570\u636e\u5904\u7406<\/td>\n O(n)<\/td>\n \u666e\u901a\u4e8c\u53c9\u6811\u904d\u5386<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\u516d\u3001\u9762\u8bd5\u9ad8\u9891\u8003\u70b9\u89e3\u6790<\/h2>\n
- \n
\u5982\u4f55\u5224\u65ad\u5b8c\u5168\u4e8c\u53c9\u6811？<\/p>\n
- \n
- \n
\u5c42\u5e8f\u904d\u5386，\u9047\u5230\u7a7a\u8282\u70b9\u540e\u4e0d\u5e94\u518d\u51fa\u73b0\u975e\u7a7a\u8282\u70b9<\/p>\n<\/li>\n<\/ul>\n<\/li>\n
- \n
\u4e3a\u4ec0\u4e48\u6570\u636e\u5e93\u7528B+\u6811\u4e0d\u7528\u4e8c\u53c9\u6811？<\/p>\n
- \n
- \n
B+\u6811\u77ee\u80d6\u7ed3\u6784\u51cf\u5c11\u78c1\u76d8IO（\u4e8c\u53c9\u6811\u5728\u6570\u636e\u91cf\u5927\u65f6\u9ad8\u5ea6\u6fc0\u589e）<\/p>\n<\/li>\n<\/ul>\n<\/li>\n
- \n
\u624b\u5199\u975e\u9012\u5f52\u904d\u5386\u5b9e\u73b0<\/p>\n<\/li>\n
# \u524d\u5e8f\u904d\u5386\u7684\u975e\u9012\u5f52\u5b9e\u73b0（\u4f7f\u7528\u6808）
\ndef preorder_iterative(root):
\n stack = [root]
\n while stack:
\n node = stack.pop()
\n if node:
\n print(node.data, end=" ")
\n stack.append(node.rchild) # \u53f3\u5b50\u5148\u5165\u6808
\n stack.append(node.lchild) # \u5de6\u5b50\u540e\u5165\u6808（\u5148\u51fa） <\/p>\n\u6700\u540e\u6311\u6218：<\/h2>\n
\u5982\u4f55\u7528O(1)\u7a7a\u95f4\u590d\u6742\u5ea6\u5b9e\u73b0Morris\u4e2d\u5e8f\u904d\u5386？\u8bc4\u8bba\u533a\u7559\u4e0b\u4f60\u7684\u601d\u8def！<\/p>\n
\u8d44\u6e90\u63a8\u8350：<\/p>\n
- \n
\u300a\u7b97\u6cd5\u5bfc\u8bba\u300b\u7b2c6\u7ae0 – \u5806\u6392\u5e8f\u4e0e\u4e8c\u53c9\u6811<\/p>\n<\/li>\n
- \n
VisuAlgo.net – \u4e8c\u53c9\u6811\u52a8\u6001\u53ef\u89c6\u5316\u5de5\u5177<\/p>\n<\/li>\n
- \n
LeetCode\u4e8c\u53c9\u6811\u4e13\u9898 – \u7cbe\u900950\u9898\u8bad\u7ec3<\/p>\n<\/li>\n","protected":false},"excerpt":{"rendered":"
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