{"id":861,"date":"2024-11-12T13:33:19","date_gmt":"2024-11-12T05:33:19","guid":{"rendered":"https:\/\/seandictionary.top\/?p=861"},"modified":"2024-11-12T13:33:19","modified_gmt":"2024-11-12T05:33:19","slug":"python-leetcode-1547","status":"publish","type":"post","link":"https:\/\/seandictionary.top\/python-leetcode-1547\/","title":{"rendered":"1547. \u5207\u68cd\u5b50\u7684\u6700\u5c0f\u6210\u672c Python-Leetcode"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\ud83d\udcd5\u9898\u5e72<\/h2>\n\n\n\n<p style=\"font-size:25px;color:#FF0000\">\u56f0\u96be<\/p>\n\n\n\n<p>\u6709\u4e00\u6839\u957f\u5ea6\u4e3a&nbsp;<code>n<\/code>&nbsp;\u4e2a\u5355\u4f4d\u7684\u6728\u68cd\uff0c\u68cd\u4e0a\u4ece&nbsp;<code>0<\/code>&nbsp;\u5230&nbsp;<code>n<\/code>&nbsp;\u6807\u8bb0\u4e86\u82e5\u5e72\u4f4d\u7f6e\u3002\u4f8b\u5982\uff0c\u957f\u5ea6\u4e3a&nbsp;<strong>6<\/strong>&nbsp;\u7684\u68cd\u5b50\u53ef\u4ee5\u6807\u8bb0\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/assets.leetcode-cn.com\/aliyun-lc-upload\/uploads\/2020\/08\/09\/statement.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/assets.leetcode-cn.com\/aliyun-lc-upload\/uploads\/2020\/08\/09\/statement.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<p>\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4&nbsp;<code>cuts<\/code>&nbsp;\uff0c\u5176\u4e2d&nbsp;<code>cuts[i]<\/code>&nbsp;\u8868\u793a\u4f60\u9700\u8981\u5c06\u68cd\u5b50\u5207\u5f00\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n<p>\u4f60\u53ef\u4ee5\u6309\u987a\u5e8f\u5b8c\u6210\u5207\u5272\uff0c\u4e5f\u53ef\u4ee5\u6839\u636e\u9700\u8981\u66f4\u6539\u5207\u5272\u7684\u987a\u5e8f\u3002<\/p>\n\n\n\n<p>\u6bcf\u6b21\u5207\u5272\u7684\u6210\u672c\u90fd\u662f\u5f53\u524d\u8981\u5207\u5272\u7684\u68cd\u5b50\u7684\u957f\u5ea6\uff0c\u5207\u68cd\u5b50\u7684\u603b\u6210\u672c\u662f\u5386\u6b21\u5207\u5272\u6210\u672c\u7684\u603b\u548c\u3002\u5bf9\u68cd\u5b50\u8fdb\u884c\u5207\u5272\u5c06\u4f1a\u628a\u4e00\u6839\u6728\u68cd\u5206\u6210\u4e24\u6839\u8f83\u5c0f\u7684\u6728\u68cd\uff08\u8fd9\u4e24\u6839\u6728\u68cd\u7684\u957f\u5ea6\u548c\u5c31\u662f\u5207\u5272\u524d\u6728\u68cd\u7684\u957f\u5ea6\uff09\u3002\u8bf7\u53c2\u9605\u7b2c\u4e00\u4e2a\u793a\u4f8b\u4ee5\u83b7\u5f97\u66f4\u76f4\u89c2\u7684\u89e3\u91ca\u3002<\/p>\n\n\n\n<p>\u8fd4\u56de\u5207\u68cd\u5b50\u7684&nbsp;<strong>\u6700\u5c0f\u603b\u6210\u672c<\/strong>&nbsp;\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b 1\uff1a<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/assets.leetcode-cn.com\/aliyun-lc-upload\/uploads\/2020\/08\/09\/e1.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/assets.leetcode-cn.com\/aliyun-lc-upload\/uploads\/2020\/08\/09\/e1.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<pre class=\"wp-block-preformatted\"><strong>\u8f93\u5165\uff1a<\/strong>n = 7, cuts = [1,3,4,5]\n<strong>\u8f93\u51fa\uff1a<\/strong>16\n<strong>\u89e3\u91ca\uff1a<\/strong>\u6309 [1, 3, 4, 5] \u7684\u987a\u5e8f\u5207\u5272\u7684\u60c5\u51b5\u5982\u4e0b\u6240\u793a\uff1a\n<img decoding=\"async\" alt=\"\" src=\"https:\/\/assets.leetcode-cn.com\/aliyun-lc-upload\/uploads\/2020\/08\/09\/e11.jpg\">\n\u7b2c\u4e00\u6b21\u5207\u5272\u957f\u5ea6\u4e3a 7 \u7684\u68cd\u5b50\uff0c\u6210\u672c\u4e3a 7 \u3002\u7b2c\u4e8c\u6b21\u5207\u5272\u957f\u5ea6\u4e3a 6 \u7684\u68cd\u5b50\uff08\u5373\u7b2c\u4e00\u6b21\u5207\u5272\u5f97\u5230\u7684\u7b2c\u4e8c\u6839\u68cd\u5b50\uff09\uff0c\u7b2c\u4e09\u6b21\u5207\u5272\u4e3a\u957f\u5ea6 4 \u7684\u68cd\u5b50\uff0c\u6700\u540e\u5207\u5272\u957f\u5ea6\u4e3a 3 \u7684\u68cd\u5b50\u3002\u603b\u6210\u672c\u4e3a 7 + 6 + 4 + 3 = 20 \u3002\n\u800c\u5c06\u5207\u5272\u987a\u5e8f\u91cd\u65b0\u6392\u5217\u4e3a [3, 5, 1, 4] \u540e\uff0c\u603b\u6210\u672c = 16\uff08\u5982\u793a\u4f8b\u56fe\u4e2d 7 + 4 + 3 + 2 = 16\uff09\u3002\n<\/pre>\n\n\n\n<p><strong>\u793a\u4f8b 2\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><strong>\u8f93\u5165\uff1a<\/strong>n = 9, cuts = [5,6,1,4,2]\n<strong>\u8f93\u51fa\uff1a<\/strong>22\n<strong>\u89e3\u91ca\uff1a<\/strong>\u5982\u679c\u6309\u7ed9\u5b9a\u7684\u987a\u5e8f\u5207\u5272\uff0c\u5219\u603b\u6210\u672c\u4e3a 25 \u3002\u603b\u6210\u672c &lt;= 25 \u7684\u5207\u5272\u987a\u5e8f\u5f88\u591a\uff0c\u4f8b\u5982\uff0c[4, 6, 5, 2, 1] \u7684\u603b\u6210\u672c = 22\uff0c\u662f\u6240\u6709\u53ef\u80fd\u65b9\u6848\u4e2d\u6210\u672c\u6700\u5c0f\u7684\u3002<\/pre>\n\n\n\n<p><strong>\u63d0\u793a\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>2 &lt;= n &lt;= 10^6<\/code><\/li>\n\n\n\n<li><code>1 &lt;= cuts.length &lt;= min(n - 1, 100)<\/code><\/li>\n\n\n\n<li><code>1 &lt;= cuts[i] &lt;= n - 1<\/code><\/li>\n\n\n\n<li><code>cuts<\/code>\u00a0\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u6574\u6570\u90fd\u00a0<strong>\u4e92\u4e0d\u76f8\u540c<\/strong><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\ud83d\udcd6\u9898\u89e3<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7 \u6cd5\u4e00 \u52a8\u6001\u89c4\u5212<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udcbb\u4ee3\u7801<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>cuts += &#91;0,n]\ncuts.sort()\ndp = &#91;&#91;float(\"inf\")]* len(cuts) for _ in range(len(cuts))]\nfor i in range(len(cuts))&#91;::-1]:\n    for j in range(i+1,len(cuts)):\n        if j == i+1:\n            dp&#91;i]&#91;j] = 0\n        else:\n            dp&#91;i]&#91;j] = min(dp&#91;i]&#91;k]+dp&#91;k]&#91;j] for k in range(i+1,j))+cuts&#91;j]-cuts&#91;i]\nreturn dp&#91;0]&#91;-1]<\/code><\/pre>\n\n\n\n<i class=\"fa fa-clock-o\" aria-hidden=\"true\"><\/i> \u6267\u884c\u7528\u65f6\uff1a199ms <i class=\"fa fa-microchip\" aria-hidden=\"true\"><\/i> \u6d88\u8017\u5185\u5b58\uff1a17.05MB\n\n\n\n<h4 class=\"wp-block-heading\">\ud83e\udd14\u601d\u8def<\/h4>\n\n\n\n<p>\u7528dp[i][j]\u6765\u8868\u793a\u533a\u95f4cuts[i]\uff0ccuts[j]\u4e4b\u95f4\u7684\u6700\u5c0f\u6210\u672c\u3002\u7136\u540e\u603b\u7ed3\u51fa\u8f6c\u79fb\u65b9\u7a0b$dp[i][j] = \\min (dp[i][k]+dp[i][j],k\\in (i,j))+cuts[j]-cuts[i]$\u7136\u540e\u5c31\u80fd\u5199\u51fa\u6765\u4e86<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7 \u6cd5\u4e00 \u8bb0\u5fc6\u5316\u641c\u7d22<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udcbb\u4ee3\u7801<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>cuts += &#91;0,n]\ncuts.sort()\n@cache\ndef dfs(i,j):\n    ans = float(\"inf\")\n    if i + 1 == j:\n        return 0\n    for k in range(i+1,j):\n        ans = min(dfs(i,k)+dfs(k,j),ans)\n    return ans + cuts&#91;j] - cuts&#91;i]\nreturn dfs(0,len(cuts)-1)<\/code><\/pre>\n\n\n\n<i class=\"fa fa-clock-o\" aria-hidden=\"true\"><\/i> \u6267\u884c\u7528\u65f6\uff1a755ms <i class=\"fa fa-microchip\" aria-hidden=\"true\"><\/i> \u6d88\u8017\u5185\u5b58\uff1a20.39MB\n\n\n\n<h4 class=\"wp-block-heading\">\ud83e\udd14\u601d\u8def<\/h4>\n\n\n\n<p>\u7528\u6df1\u641c\u6765\u9012\u5f52\u6700\u5c0f\u82b1\u8d39\uff0c\u539f\u7406\u548c\u52a8\u89c4\u5dee\u4e0d\u591a\uff0c\u7136\u540e\u7528@cache\u6765\u5b9e\u73b0\u8bb0\u5fc6\u5316\u641c\u7d22<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udcd5\u9898\u5e72 \u56f0\u96be \u6709\u4e00\u6839\u957f\u5ea6\u4e3a&nbsp;n&nbsp;\u4e2a\u5355\u4f4d\u7684\u6728\u68cd\uff0c\u68cd\u4e0a\u4ece&nbsp;0&nbsp;\u5230&#038;nbsp [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[10],"class_list":["post-861","post","type-post","status-publish","format-standard","hentry","category-python","tag-leetcode"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/posts\/861","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/comments?post=861"}],"version-history":[{"count":1,"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/posts\/861\/revisions"}],"predecessor-version":[{"id":863,"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/posts\/861\/revisions\/863"}],"wp:attachment":[{"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/media?parent=861"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/categories?post=861"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seandictionary.top\/wp-json\/wp\/v2\/tags?post=861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}