{"id":721,"date":"2020-09-26T11:14:26","date_gmt":"2020-09-26T03:14:26","guid":{"rendered":"http:\/\/39.96.58.60\/?p=721"},"modified":"2022-10-18T16:38:15","modified_gmt":"2022-10-18T08:38:15","slug":"leetcode-96-%e4%b8%8d%e5%90%8c%e7%9a%84%e4%ba%8c%e5%8f%89%e6%90%9c%e7%b4%a2%e6%a0%91","status":"publish","type":"post","link":"http:\/\/www.yatenglg.cn\/blog\/?p=721","title":{"rendered":"Leetcode 96. \u4e0d\u540c\u7684\u4e8c\u53c9\u641c\u7d22\u6811"},"content":{"rendered":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570 <em>n<\/em>\uff0c\u6c42\u4ee5&nbsp;1 &#8230;&nbsp;<em>n<\/em>&nbsp;\u4e3a\u8282\u70b9\u7ec4\u6210\u7684\u4e8c\u53c9\u641c\u7d22\u6811\u6709\u591a\u5c11\u79cd\uff1f<\/p>\n<p><strong>\u793a\u4f8b:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong> 3\n\n<strong>\u8f93\u51fa:<\/strong> 5\n\n<strong>\u89e3\u91ca:\n\n<\/strong>\u7ed9\u5b9a <em>n<\/em> = 3, \u4e00\u5171\u6709 5 \u79cd\u4e0d\u540c\u7ed3\u6784\u7684\u4e8c\u53c9\u641c\u7d22\u6811:\n\n\n\n   1         3     3      2      1\n\n    \\       \/     \/      \/ \\      \\\n\n     3     2     1      1   3      2\n\n    \/     \/       \\                 \\\n\n   2     1         2                 3<\/pre>\n<p>**\u96be\u5ea6**: Medium<\/p>\n<p>**\u6807\u7b7e**: \u6811\u3001 \u52a8\u6001\u89c4\u5212\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\uff1a36 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8685.19% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.5 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e865.17% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u5f53\u524d\u4ee5j\u4e3a\u6839\u7684\u6811\u7684\u79cd\u7c7b = \u5de6\u5b50\u6811\u7684\u79cd\u7c7b* \u53f3\u5b50\u6811\u7684\u79cd\u7c7b\n        n   class   [\u5de6\u5b50\u6811\u8282\u70b9\u6570,\u53f3\u5b50\u6811\u8282\u70b9\u6570]\n        0   1\n        1   1       [0,1]                           1*1\n        2   2       [0,1] [1,0]                     1*1 + 1*1\n        3   5       [0,2] [1,1] [2,0]               1*2 + 1*1 + 2*1\n        4   14      [0,3] [1,2] [2,1] [3,0]         1*5 + 1*2 + 2*1 + 5*1\n        5   42      [0,4] [1,3] [2,2] [3,1] [4,0]   1*14 + 1*5 + 2*2 + 5*1 + 14*1\n\"\"\"\nclass Solution:\n    def numTrees(self, n: int) -&gt; int:\n        dp = [0] * (n+1)\n        dp[0] = 1\n        for i in range(1, n+1):     # n\n            for j in range(1, i+1): # \u5f53\u524dn\u65f6\uff0c\u4ee5j\u4e3a\u6839\u7684\u6811\u6709 \u5de6\u5b50\u6811\u79cd\u7c7b*\u53f3\u5b50\u6811\u79cd\u7c7b \u79cd\n                dp[i] += dp[j-1] * dp[i-j]\n        return dp[n]<\/code><\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570 n\uff0c\u6c42\u4ee5&nbsp;1 &#8230;&nbsp;n&nbsp;\u4e3a\u8282\u70b9\u7ec4\u6210\u7684\u4e8c\u53c9\u641c\u7d22\u6811\u6709\u591a\u5c11\u79cd\uff1f&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":[],"categories":[11,1],"tags":[],"_links":{"self":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/721"}],"collection":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=721"}],"version-history":[{"count":1,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/721\/revisions"}],"predecessor-version":[{"id":722,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/721\/revisions\/722"}],"wp:attachment":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=721"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}