{"id":385,"date":"2020-09-26T10:35:18","date_gmt":"2020-09-26T02:35:18","guid":{"rendered":"http:\/\/39.96.58.60\/?p=385"},"modified":"2022-10-18T16:39:35","modified_gmt":"2022-10-18T08:39:35","slug":"leetcode-222-%e5%ae%8c%e5%85%a8%e4%ba%8c%e5%8f%89%e6%a0%91%e7%9a%84%e8%8a%82%e7%82%b9%e4%b8%aa%e6%95%b0","status":"publish","type":"post","link":"https:\/\/www.yatenglg.cn\/blog\/?p=385","title":{"rendered":"Leetcode 222. \u5b8c\u5168\u4e8c\u53c9\u6811\u7684\u8282\u70b9\u4e2a\u6570"},"content":{"rendered":"<p>\u7ed9\u51fa\u4e00\u4e2a<strong>\u5b8c\u5168\u4e8c\u53c9\u6811<\/strong>\uff0c\u6c42\u51fa\u8be5\u6811\u7684\u8282\u70b9\u4e2a\u6570\u3002<\/p>\n<p><strong>\u8bf4\u660e\uff1a<\/strong><\/p>\n<p><a href=\"https:\/\/baike.baidu.com\/item\/%E5%AE%8C%E5%85%A8%E4%BA%8C%E5%8F%89%E6%A0%91\/7773232?fr=aladdin\">\u5b8c\u5168\u4e8c\u53c9\u6811<\/a>\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a\u5728\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d\uff0c\u9664\u4e86\u6700\u5e95\u5c42\u8282\u70b9\u53ef\u80fd\u6ca1\u586b\u6ee1\u5916\uff0c\u5176\u4f59\u6bcf\u5c42\u8282\u70b9\u6570\u90fd\u8fbe\u5230\u6700\u5927\u503c\uff0c\u5e76\u4e14\u6700\u4e0b\u9762\u4e00\u5c42\u7684\u8282\u70b9\u90fd\u96c6\u4e2d\u5728\u8be5\u5c42\u6700\u5de6\u8fb9\u7684\u82e5\u5e72\u4f4d\u7f6e\u3002\u82e5\u6700\u5e95\u5c42\u4e3a\u7b2c h \u5c42\uff0c\u5219\u8be5\u5c42\u5305\u542b 1~&nbsp;2<sup>h<\/sup>&nbsp;\u4e2a\u8282\u70b9\u3002<\/p>\n<p><strong>\u793a\u4f8b:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong> \n\n    1\n\n   \/ \\\n\n  2   3\n\n \/ \\  \/\n\n4  5 6\n\n\n\n<strong>\u8f93\u51fa:<\/strong> 6<\/pre>\n<p>**\u96be\u5ea6**: Medium<\/p>\n<p>**\u6807\u7b7e**: \u6811\u3001 \u4e8c\u5206\u67e5\u627e\u3001<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism undefined-numbers lang-python\" data-lang=\"Python\"><code>\n# -*- coding: utf-8 -*-\n# @Author  : LG\n\n\"\"\"\n\u6267\u884c\u7528\u65f6\uff1a64 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8699.87% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a20.4 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8636.57% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u53c2\u8003\u4e86\u5b98\u65b9\u89e3\u9898\uff1ahttps:\/\/leetcode-cn.com\/problems\/count-complete-tree-nodes\/solution\/wan-quan-er-cha-shu-de-jie-dian-ge-shu-by-leetco-2\/\n\"\"\"\nclass Solution:\n    def countNodes(self, root: TreeNode) -&gt; int:\n\n        def get_h(root, h): # \u83b7\u53d6\u6811\u9ad8\uff0c\u5b8c\u5168\u4e8c\u53c9\u6811\u904d\u5386\u5de6\u5b50\u6811\u5373\u53ef\n            if root:\n                h = get_h(root.left, h) + 1\n            return h\n\n        def exist_node(val, h, root):   # \u5224\u65ad\u5f53\u524d\u8282\u70b9\u662f\u5426\u5b58\u5728\n            num = 2 ** (h - 2)\n            while num &gt; 0:\n                if num &amp; val &gt; 0:\n                    root = root.right\n                else:\n                    root = root.left\n                num = num &gt;&gt; 1\n            return root is not None\n\n        h = get_h(root, 0)  # \u83b7\u53d6\u5f53\u524d\u6811\u9ad8\n        if h == 0:\n            return 0\n        elif h == 1:\n            return 1\n\n        num = 2 ** (h - 1)  # \u7528\u4e8e\u8bb0\u5f55\u8282\u70b9\u6570\n        l, r = 2 ** (h - 1), 2 ** h - 1 # \u5de6\u53f3\u6307\u9488\uff0c\u5206\u522b\u6307\u5411\u6700\u540e\u4e00\u5c42\u6700\u5de6\u4fa7\u8282\u70b9\u4e0e\u6700\u53f3\u4fa7\u8282\u70b9(\u5047\u8bbe\u5b58\u5728)\n        while l &lt;= r:   # \u4e8c\u5206\u67e5\u627e\n            mid = (r + l) \/\/ 2  # # \u4e2d\u95f4\u503c\n            if exist_node(mid, h, root):    # \u5982\u679c\u5f53\u524dmid\u4f4d\u7f6e\u5b58\u5728\u8282\u70b9\n                num = mid   # \u66f4\u65b0\u8282\u70b9\u6570\n                l = mid + 1 # \u5de6\u6307\u9488\u53f3\u79fb\n            else:\n                r = mid - 1 # \u5426\u5219\uff0c\u53f3\u6307\u9488\u5de6\u79fb\n        return num<\/code><\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7ed9\u51fa\u4e00\u4e2a\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u6c42\u51fa\u8be5\u6811\u7684\u8282\u70b9\u4e2a\u6570\u3002 \u8bf4\u660e\uff1a \u5b8c\u5168\u4e8c\u53c9\u6811\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a\u5728\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d\uff0c\u9664\u4e86\u6700\u5e95\u5c42\u8282\u70b9\u53ef\u80fd\u6ca1\u586b&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[11,1],"tags":[],"_links":{"self":[{"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/385"}],"collection":[{"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=385"}],"version-history":[{"count":1,"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/385\/revisions"}],"predecessor-version":[{"id":386,"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/385\/revisions\/386"}],"wp:attachment":[{"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=385"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=385"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}