{"id":622,"date":"2023-04-16T12:30:58","date_gmt":"2023-04-16T04:30:58","guid":{"rendered":"http:\/\/120.55.184.7\/?p=622"},"modified":"2025-04-19T00:39:22","modified_gmt":"2025-04-18T16:39:22","slug":"leetcode-2528-%e6%9c%80%e5%a4%a7%e5%8c%96%e5%9f%8e%e5%b8%82%e7%9a%84%e6%9c%80%e5%b0%8f%e7%94%b5%e9%87%8f","status":"publish","type":"post","link":"https:\/\/beijian99.top\/?p=622","title":{"rendered":"Leetcode 2528. \u6700\u5927\u5316\u57ce\u5e02\u7684\u6700\u5c0f\u7535\u91cf"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u7ed9\u4f60\u4e00\u4e2a\u4e0b\u6807\u4ece&nbsp;<strong>0<\/strong>&nbsp;\u5f00\u59cb\u957f\u5ea6\u4e3a&nbsp;<code>n<\/code>&nbsp;\u7684\u6574\u6570\u6570\u7ec4&nbsp;<code>stations<\/code>&nbsp;\uff0c\u5176\u4e2d&nbsp;<code>stations[i]<\/code>&nbsp;\u8868\u793a\u7b2c&nbsp;<code>i<\/code>&nbsp;\u5ea7\u57ce\u5e02\u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u3002<\/p>\n\n\n\n<p>\u6bcf\u4e2a\u4f9b\u7535\u7ad9\u53ef\u4ee5\u5728\u4e00\u5b9a&nbsp;<strong>\u8303\u56f4<\/strong>&nbsp;\u5185\u7ed9\u6240\u6709\u57ce\u5e02\u63d0\u4f9b\u7535\u529b\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u7ed9\u5b9a\u7684\u8303\u56f4\u662f&nbsp;<code>r<\/code>&nbsp;\uff0c\u5728\u57ce\u5e02&nbsp;<code>i<\/code>&nbsp;\u5904\u7684\u4f9b\u7535\u7ad9\u53ef\u4ee5\u7ed9\u6240\u6709\u6ee1\u8db3&nbsp;<code>|i - j| &lt;= r<\/code>&nbsp;\u4e14&nbsp;<code>0 &lt;= i, j &lt;= n - 1<\/code>&nbsp;\u7684\u57ce\u5e02&nbsp;<code>j<\/code>&nbsp;\u4f9b\u7535\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>|x|<\/code>\u00a0\u8868\u793a\u00a0<code>x<\/code>\u00a0\u7684\u00a0<strong>\u7edd\u5bf9\u503c<\/strong>\u00a0\u3002\u6bd4\u65b9\u8bf4\uff0c<code>|7 - 5| = 2<\/code>\u00a0\uff0c<code>|3 - 10| = 7<\/code>\u00a0\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4e00\u5ea7\u57ce\u5e02\u7684&nbsp;<strong>\u7535\u91cf<\/strong>&nbsp;\u662f\u6240\u6709\u80fd\u7ed9\u5b83\u4f9b\u7535\u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u3002<\/p>\n\n\n\n<p>\u653f\u5e9c\u6279\u51c6\u4e86\u53ef\u4ee5\u989d\u5916\u5efa\u9020&nbsp;<code>k<\/code>&nbsp;\u5ea7\u4f9b\u7535\u7ad9\uff0c\u4f60\u9700\u8981\u51b3\u5b9a\u8fd9\u4e9b\u4f9b\u7535\u7ad9\u5206\u522b\u5e94\u8be5\u5efa\u5728\u54ea\u91cc\uff0c\u8fd9\u4e9b\u4f9b\u7535\u7ad9\u4e0e\u5df2\u7ecf\u5b58\u5728\u7684\u4f9b\u7535\u7ad9\u6709\u76f8\u540c\u7684\u4f9b\u7535\u8303\u56f4\u3002<\/p>\n\n\n\n<p>\u7ed9\u4f60\u4e24\u4e2a\u6574\u6570&nbsp;<code>r<\/code>&nbsp;\u548c&nbsp;<code>k<\/code>&nbsp;\uff0c\u5982\u679c\u4ee5\u6700\u4f18\u7b56\u7565\u5efa\u9020\u989d\u5916\u7684\u53d1\u7535\u7ad9\uff0c\u8fd4\u56de\u6240\u6709\u57ce\u5e02\u4e2d\uff0c\u6700\u5c0f\u7535\u91cf\u7684\u6700\u5927\u503c\u662f\u591a\u5c11\u3002<\/p>\n\n\n\n<p>\u8fd9&nbsp;<code>k<\/code>&nbsp;\u5ea7\u4f9b\u7535\u7ad9\u53ef\u4ee5\u5efa\u5728\u591a\u4e2a\u57ce\u5e02\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b 1\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><strong>\u8f93\u5165\uff1a<\/strong>stations = [1,2,4,5,0], r = 1, k = 2\n<strong>\u8f93\u51fa\uff1a<\/strong>5\n<strong>\u89e3\u91ca\uff1a<\/strong>\n\u6700\u4f18\u65b9\u6848\u4e4b\u4e00\u662f\u628a 2 \u5ea7\u4f9b\u7535\u7ad9\u90fd\u5efa\u5728\u57ce\u5e02 1 \u3002\n\u6bcf\u5ea7\u57ce\u5e02\u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u5206\u522b\u4e3a [1,4,4,5,0] \u3002\n- \u57ce\u5e02 0 \u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u4e3a 1 + 4 = 5 \u3002\n- \u57ce\u5e02 1 \u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u4e3a 1 + 4 + 4 = 9 \u3002\n- \u57ce\u5e02 2 \u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u4e3a 4 + 4 + 5 = 13 \u3002\n- \u57ce\u5e02 3 \u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u4e3a 5 + 4 = 9 \u3002\n- \u57ce\u5e02 4 \u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u4e3a 5 + 0 = 5 \u3002\n\u4f9b\u7535\u7ad9\u6570\u76ee\u6700\u5c11\u662f 5 \u3002\n\u65e0\u6cd5\u5f97\u5230\u66f4\u4f18\u89e3\uff0c\u6240\u4ee5\u6211\u4eec\u8fd4\u56de 5 \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>stations = [4,4,4,4], r = 0, k = 3\n<strong>\u8f93\u51fa\uff1a<\/strong>4\n<strong>\u89e3\u91ca\uff1a<\/strong>\n\u65e0\u8bba\u5982\u4f55\u5b89\u6392\uff0c\u603b\u6709\u4e00\u5ea7\u57ce\u5e02\u7684\u4f9b\u7535\u7ad9\u6570\u76ee\u662f 4 \uff0c\u6240\u4ee5\u6700\u4f18\u89e3\u662f 4 \u3002\n<\/pre>\n\n\n\n<p><strong>\u63d0\u793a\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>n == stations.length<\/code><\/li>\n\n\n\n<li><code>1 &lt;= n &lt;= 10<sup>5<\/sup><\/code><\/li>\n\n\n\n<li><code>0 &lt;= stations[i] &lt;= 10<sup>5<\/sup><\/code><\/li>\n\n\n\n<li><code>0 &lt;= r\u00a0&lt;= n - 1<\/code><\/li>\n\n\n\n<li><code>0 &lt;= k\u00a0&lt;= 10<sup>9<\/sup><\/code><\/li>\n<\/ul>\n<\/blockquote>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>\u5dee\u5206\u6570\u7ec4+\u4e8c\u5206\u7b54\u6848+\u8d2a\u5fc3<\/strong><\/p>\n\n\n\n<p>\u6ce8\u610f\u5230\u7b54\u6848\u5177\u6709\u5355\u8c03\u6027\uff0c\u5373\u503c\u8d8a\u5927\uff0c\u8d8a\u80fd\/\u4e0d\u80fd\u6ee1\u8db3\u8981\u6c42\uff1b\u503c\u8d8a\u5c0f\uff0c\u8d8a\u4e0d\u80fd\/\u80fd\u6ee1\u8db3\u8981\u6c42\u3002\u6240\u4ee5\u4e8c\u5206\u7b54\u6848\u3002<br>check\u7b54\u6848\u7684\u903b\u8f91\u4e3a \u5224\u65ad\u7528k\u6b21\u5efa\u7ad9\u673a\u4f1a\u80fd\u5426\u8fbe\u5230\u6307\u5b9a\u7684\u6700\u5c0f\u7535\u529b\u503c\uff0c\u8fd9\u91cc\u8003\u8651\u8d2a\u5fc3\u7684\u53bb\u5efa\u7ad9\uff0c\u5373\u4ece\u5de6\u5411\u53f3\u904d\u5386\u7ad9\u70b9\uff0c\u5982\u679c\u5f53\u524d\u7ad9\u70b9 i \u9700\u8981\u65b0\u7684\u7535\u529b\u4ee5\u8fbe\u5230\u76ee\u6807\u7535\u529b\u503c\uff0c\u5219\u5728 i+r\u7684\u5730\u65b9\u5efax\u4e2a\u7535\u529b\u7ad9\uff0cx\u4e3a\u76ee\u6807\u7535\u529b\u503c-\u5f53\u524d\u7ad9\u70b9\u7535\u529b\u503c\u3002\u5efa\u7ad9\u540e\u533a\u95f4[i,i+2*r] \u5185\u6240\u6709\u7684\u7ad9\u70b9\u90fd\u589e\u52a0\u4e86x\u70b9\u7535\u529b\uff0c\u8fd9\u662f\u4e2a\u533a\u95f4\u4fee\u6539\u64cd\u4f5c\uff0c\u4e8e\u662f\u8003\u8651\u7528\u5dee\u5206\u6570\u7ec4\uff08\u652f\u6301O(1)\u533a\u95f4\u4fee\u6539\uff09\u3002\u6ce8\u610f\u53ca\u65f6\u8fd8\u539f\u5f53\u524d\u7ad9\u70b9\u7684\u5dee\u5206\u6570\u7ec4\uff0c\u4ee5\u83b7\u53d6\u5f53\u524d\u7ad9\u70b9\u7535\u529b\u503c\u3002\uff08\u4e0d\u7528\u62c5\u5fc3\u8fd8\u539f\u4e86\u5dee\u5206\u6570\u7ec4\u800c\u5bfc\u81f4\u533a\u95f4\u4fee\u6539\u5931\u6548\uff0c\u56e0\u4e3a\u8fd8\u539f\u7684\u90e8\u5206\u662f\u5728\u5f53\u524d\u7ad9\u70b9\u7684\u5de6\u4fa7\u90e8\u5206\uff0c\u800c\u9700\u8981\u533a\u95f4\u4fee\u6539\u7684\u90e8\u5206\u603b\u662f\u5728\u53f3\u4fa7\uff0c\u4e0d\u5f71\u54cd\uff0c\u6240\u4ee5\u53ef\u4ee5\u505a\u5230\u4e00\u8fb9\u8fd8\u539f\u4e00\u8fb9\u5dee\u5206\u7684\u201c\u795e\u5947\u201d\u64cd\u4f5c\uff09\u3002<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; gutter: true; title: ; notranslate\" title=\"\">\n\nclass Solution {\npublic:\n    long long maxPower(vector&lt;int&gt;&amp; stations, int r, int k) {\n        vector&lt;long long&gt;arr(stations.size() + 2, 0);\n        for(int i=0;i&lt;stations.size();i++){\n            int left=max(0,i-r);\n            int right=min(i+r,static_cast&lt;int&gt;(stations.size()));\n            arr&#x5B;left]+=stations&#x5B;i];\n            arr&#x5B;right + 1]-=stations&#x5B;i];\n        }\n\n        long long left=0,right= (long long)(k)+100000ll*stations.size();\n        long long ans = 0;\n        while(left&lt;=right){\n            long long mid=(left+right)\/2; \/\/ \u4e8c\u5206\u7b54\u6848 \uff0c\u5047\u8bbemid\u662f\u6700\u7ec8\u7b54\u6848\uff0c\u5373\u6700\u5c0f\u7535\u529b\u7684\u6700\u5927\u503c\n            if(k&gt;=calNeed(arr,stations.size(),r,mid)){\n                \/\/ k\u662f\u9898\u76ee\u5141\u8bb8\u7684\u6700\u5927\u5efa\u7ad9\u6570\u91cf,\u5982\u679c\u591f\u7528\uff0c\u8fd8\u53ef\u4ee5\u7ee7\u7eed\u653e\u5927\u4e8c\u5206\u7684\u7b54\u6848\uff0c\u5373\u6536\u7f29\u4e8c\u5206\u7684\u5de6\u7aef\u70b9\u3002\n                left=mid+1;\n                ans=mid;\n            }else{\n                right=mid-1;\n            }\n        }\n        return ans;\n    }\n\n    \/\/ \u8ba1\u7b97\u5728\u6307\u5b9a\u6700\u5c0f\u7535\u529b\u503c\u4e3anow\u65f6\uff0c\u6240\u9700\u7684\u5efa\u7ad9\u6570\u91cf\n    long long calNeed(vector&lt;long long&gt; arr,int stationSize,int r,long long now) {\n        long long need = 0;\n        for(int i=0;i&lt;stationSize;i++) {\n            if(i&gt;0)arr&#x5B;i]+=arr&#x5B;i-1]; \/\/ \u8fd8\u539f\u5dee\u5206\u6570\u7ec4\n            if(arr&#x5B;i]&lt;now) {\n                \/\/ \u8d2a\u5fc3\uff1a\u5982\u679c\u5f53\u524d\u4f4d\u7f6e\u7f3a\u7535\u529b\uff0c\u5219\u9009\u62e9\u5728 i+r\u7684\u4f4d\u7f6e\u5efa\u7ad9\u662f\u6700\u201c\u7ecf\u6d4e\u5b9e\u60e0\u7684\u201d\n                long long count =now-arr&#x5B;i]; \/\/ \u5efa\u7ad9\u7684\u6570\u91cf\n                \/\/ \u5dee\u5206\u6570\u7ec4\u7684\u533a\u95f4\u4fee\u6539\u64cd\u4f5c\uff0c\u6574\u4e2a\u533a\u95f4\u90fd\u52a0\u4e0acount\n                arr&#x5B;i]+= count;  \n                arr&#x5B;min(i+2*r+1,stationSize)]-=count;\n                need+=count;\n            }\n        }\n        return need; \n    }\n};\n\n<\/pre><\/div>","protected":false},"excerpt":{"rendered":"<p>\u5dee\u5206\u6570\u7ec4+\u4e8c\u5206\u7b54\u6848+\u8d2a\u5fc3 \u6ce8\u610f\u5230\u7b54\u6848\u5177\u6709\u5355\u8c03\u6027\uff0c\u5373\u503c\u8d8a\u5927\uff0c\u8d8a\u80fd\/\u4e0d\u80fd\u6ee1\u8db3\u8981\u6c42\uff1b\u503c\u8d8a\u5c0f\uff0c\u8d8a\u4e0d\u80fd\/\u80fd\u6ee1\u8db3\u8981\u6c42\u3002\u6240\u4ee5 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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