{"id":725,"date":"2020-09-26T11:14:58","date_gmt":"2020-09-26T03:14:58","guid":{"rendered":"http:\/\/39.96.58.60\/?p=725"},"modified":"2022-10-18T16:37:28","modified_gmt":"2022-10-18T08:37:28","slug":"leetcode-62-%e4%b8%8d%e5%90%8c%e8%b7%af%e5%be%84","status":"publish","type":"post","link":"http:\/\/www.yatenglg.cn\/blog\/?p=725","title":{"rendered":"Leetcode 62. \u4e0d\u540c\u8def\u5f84"},"content":{"rendered":"<p>\u4e00\u4e2a\u673a\u5668\u4eba\u4f4d\u4e8e\u4e00\u4e2a <em>m x n <\/em>\u7f51\u683c\u7684\u5de6\u4e0a\u89d2 \uff08\u8d77\u59cb\u70b9\u5728\u4e0b\u56fe\u4e2d\u6807\u8bb0\u4e3a\u201cStart\u201d \uff09\u3002<\/p>\n<p>\u673a\u5668\u4eba\u6bcf\u6b21\u53ea\u80fd\u5411\u4e0b\u6216\u8005\u5411\u53f3\u79fb\u52a8\u4e00\u6b65\u3002\u673a\u5668\u4eba\u8bd5\u56fe\u8fbe\u5230\u7f51\u683c\u7684\u53f3\u4e0b\u89d2\uff08\u5728\u4e0b\u56fe\u4e2d\u6807\u8bb0\u4e3a\u201cFinish\u201d\uff09\u3002<\/p>\n<p>\u95ee\u603b\u5171\u6709\u591a\u5c11\u6761\u4e0d\u540c\u7684\u8def\u5f84\uff1f<\/p>\n<p><img src=\"https:\/\/assets.leetcode-cn.com\/aliyun-lc-upload\/uploads\/2018\/10\/22\/robot_maze.png\"><\/p>\n<p><small>\u4f8b\u5982\uff0c\u4e0a\u56fe\u662f\u4e00\u4e2a7 x 3 \u7684\u7f51\u683c\u3002\u6709\u591a\u5c11\u53ef\u80fd\u7684\u8def\u5f84\uff1f<\/small><\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u793a\u4f8b&nbsp;1:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong> m = 3, n = 2\n\n<strong>\u8f93\u51fa:<\/strong> 3\n\n<strong>\u89e3\u91ca:<\/strong>\n\n\u4ece\u5de6\u4e0a\u89d2\u5f00\u59cb\uff0c\u603b\u5171\u6709 3 \u6761\u8def\u5f84\u53ef\u4ee5\u5230\u8fbe\u53f3\u4e0b\u89d2\u3002\n\n1. \u5411\u53f3 -&gt; \u5411\u53f3 -&gt; \u5411\u4e0b\n\n2. \u5411\u53f3 -&gt; \u5411\u4e0b -&gt; \u5411\u53f3\n\n3. \u5411\u4e0b -&gt; \u5411\u53f3 -&gt; \u5411\u53f3\n\n<\/pre>\n<p><strong>\u793a\u4f8b&nbsp;2:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong> m = 7, n = 3\n\n<strong>\u8f93\u51fa:<\/strong> 28<\/pre>\n<p>&nbsp;<\/p>\n<p><strong>\u63d0\u793a\uff1a<\/strong><\/p>\n<ul>\n<li><code>1 &lt;= m, n &lt;= 100<\/code><\/li>\n<li>\u9898\u76ee\u6570\u636e\u4fdd\u8bc1\u7b54\u6848\u5c0f\u4e8e\u7b49\u4e8e <code>2 * 10 ^ 9<\/code><\/li>\n<\/ul>\n<p>**\u96be\u5ea6**: Medium<\/p>\n<p>**\u6807\u7b7e**: \u6570\u7ec4\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\uff1a40 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8674.47% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.8 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e867.95% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u53ea\u80fd\u5411\u53f3\u6216\u5411\u4e0b\u524d\u8fdb\u3002\n    \u5219\u5f53\u524d\u683c\u7684\u8def\u5f84\u6570\u7b49\u4e8e\u5de6\u4fa7\u683c\u7684\u8def\u5f84\u6570+\u4e0a\u4fa7\u683c\u7684\u8def\u5f84\u6570\n    dp[i][j] = dp[i-1][j] + dp[i][j-1]\n\n    \u4f8b\u5b50\uff1a\n        1   1   1   1   1   1\n        1   2   3   4   5   6\n        1   3   6   10  15  21\n        1   4   10  20  35  56\n\"\"\"\nclass Solution:\n    def uniquePaths(self, m: int, n: int) -&gt; int:\n        dp = [[1 for _ in range(m)] for _ in range(n)]\n\n        for i in range(1, n):\n            for j in range(1, m):\n                dp[i][j] = dp[i-1][j] + dp[i][j-1]\n        return dp[-1][-1]\n<\/code><\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u4e2a\u673a\u5668\u4eba\u4f4d\u4e8e\u4e00\u4e2a m x n \u7f51\u683c\u7684\u5de6\u4e0a\u89d2 \uff08\u8d77\u59cb\u70b9\u5728\u4e0b\u56fe\u4e2d\u6807\u8bb0\u4e3a\u201cStart\u201d \uff09\u3002 \u673a\u5668\u4eba\u6bcf\u6b21\u53ea\u80fd\u5411\u4e0b\u6216&#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\/725"}],"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=725"}],"version-history":[{"count":1,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/725\/revisions"}],"predecessor-version":[{"id":726,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/725\/revisions\/726"}],"wp:attachment":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=725"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=725"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=725"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}