{"id":49290,"date":"2024-12-02T17:34:53","date_gmt":"2024-12-02T09:34:53","guid":{"rendered":"https:\/\/fwq.ai\/blog\/49290\/"},"modified":"2024-12-02T17:34:53","modified_gmt":"2024-12-02T09:34:53","slug":"%e8%bf%9e%e6%8e%a5%e4%b8%a4%e7%bb%84%e7%82%b9%e7%9a%84%e6%9c%80%e4%bd%8e%e6%88%90%e6%9c%ac","status":"publish","type":"post","link":"https:\/\/fwq.ai\/blog\/49290\/","title":{"rendered":"\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c"},"content":{"rendered":"<p><b><\/b> <\/p>\n<h1>\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c<\/h1>\n<p><span style=\"cursor: pointer\"><i><\/i>\u6536\u85cf<\/span> <\/p>\n<p>\u4f60\u5728\u5b66\u4e60<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\">\u6587\u7ae0<\/span>\u76f8\u5173\u7684\u77e5\u8bc6\u5417\uff1f\u672c\u6587<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\">\u300a\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u300b<\/span>\uff0c\u4e3b\u8981\u4ecb\u7ecd\u7684\u5185\u5bb9\u5c31\u6d89\u53ca\u5230<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\"><\/span>\uff0c\u5982\u679c\u4f60\u60f3\u63d0\u5347\u81ea\u5df1\u7684\u5f00\u53d1\u80fd\u529b\uff0c\u5c31\u4e0d\u8981\u9519\u8fc7\u8fd9\u7bc7\u6587\u7ae0\uff0c\u5927\u5bb6\u8981\u77e5\u9053\u7f16\u7a0b\u7406\u8bba\u57fa\u7840\u548c\u5b9e\u6218\u64cd\u4f5c\u90fd\u662f\u4e0d\u53ef\u6216\u7f3a\u7684\u54e6\uff01<\/p>\n<p>1595\u3002\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c<\/p>\n<p><strong>\u96be\u5ea6\uff1a<\/strong>\u96be<\/p>\n<p><strong>\u4e3b\u9898\uff1a<\/strong>\u6570\u7ec4\u3001\u52a8\u6001\u89c4\u5212\u3001\u4f4d\u64cd\u4f5c\u3001\u77e9\u9635\u3001\u4f4d\u63a9\u7801<\/p>\n<p>\u7ed9\u4f60\u4e24\u7ec4\u70b9\uff0c\u7b2c\u4e00\u7ec4\u6709\u5927\u5c0f<sub>1<\/sub>\u70b9\uff0c\u7b2c\u4e8c\u7ec4\u6709\u5927\u5c0f<sub>2<\/sub>\u70b9\uff0c\u5927\u5c0f<sub>1<\/sub> &gt;=\u5c3a\u5bf8<sub>2<\/sub>.<\/p>\n<p>\u4efb\u610f\u4e24\u70b9\u4e4b\u95f4\u7684\u8fde\u63a5\u6210\u672c\u4ee5\u5927\u5c0f <sub>1<\/sub> x size<sub>2<\/sub> \u77e9\u9635\u7ed9\u51fa\uff0c\u5176\u4e2d cost[i][j] \u662f\u8fde\u63a5\u70b9 i \u7684\u6210\u672c\u7b2c\u4e00\u7ec4\u548c\u7b2c\u4e8c\u7ec4\u7684 j \u70b9\u3002\u5982\u679c<strong>\u4e24\u4e2a\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u90fd\u8fde\u63a5\u5230\u76f8\u53cd\u7ec4\u4e2d\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u70b9<\/strong>\uff0c\u5219\u8fd9\u4e9b\u7ec4\u5df2\u8fde\u63a5\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u7b2c\u4e00\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u5fc5\u987b\u8fde\u63a5\u5230\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u81f3\u5c11\u4e00\u4e2a\u70b9\uff0c\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u5fc5\u987b\u8fde\u63a5\u5230\u7b2c\u4e00\u7ec4\u4e2d\u7684\u81f3\u5c11\u4e00\u4e2a\u70b9\u3002<\/p>\n<p>\u8fd4\u56de<em>\u8fde\u63a5\u4e24\u4e2a\u7ec4\u6240\u9700\u7684\u6700\u4f4e\u6210\u672c<\/em>\u3002<\/p>\n<p><strong>\u793a\u4f8b1\uff1a<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241125\/1732522221674430ed2b81d.jpg\" class=\"aligncenter\" title=\"\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u63d2\u56fe\" alt=\"\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u63d2\u56fe\" \/><\/p>\n<ul>\n<li> <strong>\u8f93\u5165\uff1a<\/strong> \u6210\u672c = [[15, 96], [36, 2]]<\/li>\n<li> <strong>\u8f93\u51fa\uff1a<\/strong> 17<\/li>\n<li> <strong>\u8bf4\u660e\uff1a<\/strong>\u8fde\u63a5\u7ec4\u7684\u6700\u4f73\u65b9\u5f0f\u662f\uff1a <\/li>\n<\/ul>\n<pre>  1--a\n  2--b\n  this results in a total cost of 17.\n<\/pre>\n<p><strong>\u793a\u4f8b2\uff1a<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241125\/1732522223674430ef4ba04.jpg\" class=\"aligncenter\" title=\"\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u63d2\u56fe1\" alt=\"\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u63d2\u56fe1\" \/><\/p>\n<ul>\n<li> <strong>\u8f93\u5165\uff1a<\/strong> \u6210\u672c = [[1, 3, 5], [4, 1, 1], [1, 5, 3]]<\/li>\n<li> <strong>\u8f93\u51fa\uff1a<\/strong> 4<\/li>\n<li> <strong>\u8bf4\u660e\uff1a<\/strong>\u8fde\u63a5\u7ec4\u7684\u6700\u4f73\u65b9\u5f0f\u662f\uff1a <\/li>\n<\/ul>\n<pre>  1--a\n  2--b\n  2--c\n  3--a\n  this results in a total cost of 4.\n<\/pre>\n<p>\u8bf7\u6ce8\u610f\uff0c\u6709\u591a\u4e2a\u70b9\u8fde\u63a5\u5230\u7b2c\u4e00\u7ec4\u4e2d\u7684\u70b9 2 \u548c\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u70b9 a\u3002\u8fd9\u5e76\u4e0d\u91cd\u8981\uff0c\u56e0\u4e3a\u53ef\u4ee5\u8fde\u63a5\u7684\u70b9\u6570\u6ca1\u6709\u9650\u5236\u3002\u6211\u4eec\u53ea\u5173\u5fc3\u6700\u4f4e\u7684\u603b\u6210\u672c\u3002<\/p>\n<p><strong>\u793a\u4f8b 3\uff1a<\/strong><\/p>\n<ul>\n<li> <strong>\u8f93\u5165\uff1a<\/strong> \u6210\u672c = [[2, 5, 1], [3, 4, 7], [8, 1, 2], [6, 2, 4], [3, 8, 8] ]<\/li>\n<li> <strong>\u8f93\u51fa\uff1a<\/strong> 10<\/li>\n<\/ul>\n<p><strong>\u7ea6\u675f\uff1a<\/strong><\/p>\n<ul>\n<li>\u5927\u5c0f<sub>1<\/sub> == cost.length<\/li>\n<li>\u5927\u5c0f<sub>2<\/sub> == \u6210\u672c[i].\u957f\u5ea6<\/li>\n<li>1 &lt;= \u5927\u5c0f<sub>1<\/sub>\uff0c\u5927\u5c0f<sub>2<\/sub> &lt;= 12<\/li>\n<li>\u5927\u5c0f<sub>1<\/sub> &gt;=\u5927\u5c0f<sub>2<\/sub><\/li>\n<li>0 &lt;= \u6210\u672c[i][j] &lt;= 100<\/li>\n<\/ul>\n<p><strong>\u63d0\u793a\uff1a<\/strong><\/p>\n<ol>\n<li>\u5de6\u4fa7\u7684\u6bcf\u4e2a\u70b9\u8981\u4e48\u8fde\u63a5\u5230\u5df2\u8fde\u63a5\u5230\u67d0\u4e2a\u5de6\u4fa7\u8282\u70b9\u7684\u7cbe\u786e\u70b9\uff0c\u8981\u4e48\u8fde\u63a5\u5230\u53f3\u4fa7\u672a\u8fde\u63a5\u5230\u4efb\u4f55\u8282\u70b9\u7684\u8282\u70b9\u7684\u5b50\u96c6<\/li>\n<li>\u4f7f\u7528\u5e26\u6709\u4f4d\u63a9\u7801\u7684\u52a8\u6001\u89c4\u5212\uff0c\u5176\u4e2d\u72b6\u6001\u5c06\u4e3a\uff08\u7b2c\u4e00\u7ec4\u4e2d\u5206\u914d\u7684\u70b9\u7684\u6570\u91cf\uff0c\u7b2c\u4e8c\u7ec4\u4e2d\u5206\u914d\u7684\u70b9\u7684\u4f4d\u63a9\u7801\uff09\u3002<\/li>\n<\/ol>\n<p><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong><\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u5e26\u6709\u4f4d\u63a9\u7801\u7684\u52a8\u6001\u7f16\u7a0b\u3002\u8fd9\u4e2a\u60f3\u6cd5\u662f\u901a\u8fc7\u8003\u8651\u7b2c\u4e00\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u5e76\u5c1d\u8bd5\u5c06\u5176\u8fde\u63a5\u5230\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u6240\u6709\u70b9\u6765\u6700\u5c0f\u5316\u6210\u672c\u3002<\/p>\n<h3> \u5177\u6709\u4f4d\u63a9\u7801\u7684\u52a8\u6001\u89c4\u5212 (dp) \u65b9\u6cd5 <\/h3>\n<h4> \u6b65\u9aa4\uff1a <\/h4>\n<ol>\n<li>\n<p><strong>\u56fd\u5bb6\u4ee3\u8868<\/strong>\uff1a<\/p>\n<ul>\n<li>\u4f7f\u7528 dp \u8868 dp[i][mask]\uff0c\u5176\u4e2d\uff1a\n<ul>\n<li> i \u662f\u7b2c\u4e00\u7ec4\u4e2d\u7684\u7d22\u5f15\uff08\u8303\u56f4\u4ece 0 \u5230 size1-1\uff09\u3002<\/li>\n<li> mask \u662f\u4e00\u4e2a\u4f4d\u63a9\u7801\uff0c\u8868\u793a\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u54ea\u4e9b\u70b9\u5df2\u8fde\u63a5\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u72b6\u6001\u8f6c\u6362<\/strong>:<\/p>\n<ul>\n<li>\u5bf9\u4e8e\u7b2c\u4e00\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\uff0c\u5c1d\u8bd5\u5c06\u5176\u8fde\u63a5\u5230\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\uff0c\u76f8\u5e94\u5730\u66f4\u65b0 dp \u8868\u3002<\/li>\n<li>\u5982\u679c\u8fde\u63a5\u4e86\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u65b0\u70b9\uff0c\u5219\u66f4\u65b0\u63a9\u7801\u4e2d\u7684\u76f8\u5e94\u4f4d\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u57fa\u672c\u6848\u4f8b<\/strong>\uff1a<\/p>\n<ul>\n<li>\u4ece dp[0][0] = 0 \u5f00\u59cb\uff08\u6700\u521d\u6ca1\u6709\u8fde\u63a5\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u76ee\u6807<\/strong>\uff1a<\/p>\n<ul>\n<li>\u8ba1\u7b97 dp[size1][(1 &lt;&lt; size2) &#8211; 1] \u7684\u6700\u5c0f\u6210\u672c\uff0c\u5b83\u8868\u793a\u8fde\u63a5\u4e24\u7ec4\u4e2d\u7684\u6240\u6709\u70b9\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p>\u8ba9\u6211\u4eec\u7528 php \u5b9e\u73b0\u8fd9\u4e2a\u89e3\u51b3\u65b9\u6848\uff1a<strong>1595\u3002\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c<\/strong><\/p>\n<pre>&lt;?php\n\/**\n * @param Integer[][] $cost\n * @return Integer\n *\/\nfunction connectTwoGroups($cost) {\n    ...\n    ...\n    ...\n    \/**\n     * go to .\/solution.php\n     *\/\n}\n\n\/\/ Example usage:\n$cost1 = [[15, 96], [36, 2]];\n$cost2 = [[1, 3, 5], [4, 1, 1], [1, 5, 3]];\n$cost3 = [[2, 5, 1], [3, 4, 7], [8, 1, 2], [6, 2, 4], [3, 8, 8]];\n\necho connectTwoGroups($cost1) . \"\\n\"; \/\/ Output: 17\necho connectTwoGroups($cost2) . \"\\n\"; \/\/ Output: 4\necho connectTwoGroups($cost3) . \"\\n\"; \/\/ Output: 10\n?&gt;\n<\/pre>\n<h3> \u89e3\u91ca\uff1a <\/h3>\n<ul>\n<li>dp \u6570\u7ec4 dp[i][mask] \u5b58\u50a8\u5c06\u7b2c 1 \u7ec4\u4e2d\u7684\u524d i \u4e2a\u70b9\u4e0e\u7b2c 2 \u7ec4\u4e2d\u7684\u70b9\u8fde\u63a5\u8d77\u6765\u7684\u6700\u5c0f\u6210\u672c\uff0c\u5982 mask \u6240\u793a\u3002<\/li>\n<li>\u5d4c\u5957\u5faa\u73af\u8fed\u4ee3 i \u548c mask \u7684\u6bcf\u4e2a\u7ec4\u5408\uff0c\u5c1d\u8bd5\u901a\u8fc7\u8003\u8651\u6240\u6709\u53ef\u80fd\u7684\u8fde\u63a5\u6765\u627e\u5230\u6700\u4f73\u6210\u672c\u3002<\/li>\n<li>\u6700\u7ec8\uff0c\u8be5\u89e3\u51b3\u65b9\u6848\u4f1a\u8003\u8651\u7b2c\u4e8c\u7ec4\u4e2d\u67d0\u4e9b\u70b9\u53ef\u80fd\u4ecd\u672a\u8fde\u63a5\u7684\u60c5\u51b5\u6765\u8ba1\u7b97\u6700\u5c0f\u6210\u672c\uff0c\u786e\u4fdd\u6240\u6709\u70b9\u90fd\u5df2\u8fde\u63a5\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u79cd\u65b9\u6cd5\u6709\u6548\u5730\u5904\u7406\u4e86\u95ee\u9898\u7684\u7ea6\u675f\uff0c\u5e76\u786e\u4fdd\u8fde\u63a5\u4e24\u4e2a\u7ec4\u7684\u6210\u672c\u6700\u5c0f\u3002<\/p>\n<p><strong>\u8054\u7cfb\u94fe\u63a5<\/strong><\/p>\n<p>\u5982\u679c\u60a8\u53d1\u73b0\u672c\u7cfb\u5217\u6709\u5e2e\u52a9\uff0c\u8bf7\u8003\u8651\u5728 github \u4e0a\u7ed9<strong>\u5b58\u50a8\u5e93<\/strong> \u4e00\u9897\u661f\uff0c\u6216\u5728\u60a8\u6700\u559c\u6b22\u7684\u793e\u4ea4\u7f51\u7edc\u4e0a\u5206\u4eab\u8be5\u5e16\u5b50?\u3002\u60a8\u7684\u652f\u6301\u5bf9\u6211\u6765\u8bf4\u610f\u4e49\u91cd\u5927\uff01<\/p>\n<p>\u5982\u679c\u60a8\u60f3\u8981\u66f4\u591a\u7c7b\u4f3c\u7684\u6709\u7528\u5185\u5bb9\uff0c\u8bf7\u968f\u65f6\u5173\u6ce8\u6211\uff1a<\/p>\n<ul>\n<li><strong>\u9886\u82f1<\/strong><\/li>\n<li><strong>github<\/strong><\/li>\n<\/ul>\n<p>\u7ec8\u4e8e\u4ecb\u7ecd\u5b8c\u5566\uff01\u5c0f\u4f19\u4f34\u4eec\uff0c\u8fd9\u7bc7\u5173\u4e8e\u300a\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u300b\u7684\u4ecb\u7ecd\u5e94\u8be5\u8ba9\u4f60\u6536\u83b7\u591a\u591a\u4e86\u5427\uff01\u6b22\u8fce\u5927\u5bb6\u6536\u85cf\u6216\u5206\u4eab\u7ed9\u66f4\u591a\u9700\u8981\u5b66\u4e60\u7684\u670b\u53cb\u5427~\u7c73\u4e91\u516c\u4f17\u53f7\u4e5f\u4f1a\u53d1\u5e03\u6587\u7ae0\u76f8\u5173\u77e5\u8bc6\uff0c\u5feb\u6765\u5173\u6ce8\u5427\uff01<\/p>\n<p> \u7248\u672c\u58f0\u660e \u672c\u6587\u8f6c\u8f7d\u4e8e\uff1adev.to \u5982\u6709\u4fb5\u72af\uff0c\u8bf7\u8054\u7cfb \u5220\u9664<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c \u6536\u85cf \u4f60\u5728\u5b66\u4e60\u6587\u7ae0\u76f8\u5173\u7684\u77e5\u8bc6\u5417\uff1f\u672c\u6587\u300a\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c\u300b\uff0c\u4e3b\u8981\u4ecb\u7ecd\u7684\u5185\u5bb9\u5c31\u6d89\u53ca\u5230\uff0c\u5982\u679c\u4f60\u60f3\u63d0\u5347\u81ea\u5df1\u7684\u5f00\u53d1\u80fd\u529b\uff0c\u5c31\u4e0d\u8981\u9519\u8fc7\u8fd9\u7bc7\u6587\u7ae0\uff0c\u5927\u5bb6\u8981\u77e5\u9053\u7f16\u7a0b\u7406\u8bba\u57fa\u7840\u548c\u5b9e\u6218\u64cd\u4f5c\u90fd\u662f\u4e0d\u53ef\u6216\u7f3a\u7684\u54e6\uff01 1595\u3002\u8fde\u63a5\u4e24\u7ec4\u70b9\u7684\u6700\u4f4e\u6210\u672c \u96be\u5ea6\uff1a\u96be \u4e3b\u9898\uff1a\u6570\u7ec4\u3001\u52a8\u6001\u89c4\u5212\u3001\u4f4d\u64cd\u4f5c\u3001\u77e9\u9635\u3001\u4f4d\u63a9\u7801 \u7ed9\u4f60\u4e24\u7ec4\u70b9\uff0c\u7b2c\u4e00\u7ec4\u6709\u5927\u5c0f1\u70b9\uff0c\u7b2c\u4e8c\u7ec4\u6709\u5927\u5c0f2\u70b9\uff0c\u5927\u5c0f1 &gt;=\u5c3a\u5bf82. \u4efb\u610f\u4e24\u70b9\u4e4b\u95f4\u7684\u8fde\u63a5\u6210\u672c\u4ee5\u5927\u5c0f 1 x size2 \u77e9\u9635\u7ed9\u51fa\uff0c\u5176\u4e2d cost[i][j] \u662f\u8fde\u63a5\u70b9 i \u7684\u6210\u672c\u7b2c\u4e00\u7ec4\u548c\u7b2c\u4e8c\u7ec4\u7684 j \u70b9\u3002\u5982\u679c\u4e24\u4e2a\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u90fd\u8fde\u63a5\u5230\u76f8\u53cd\u7ec4\u4e2d\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u70b9\uff0c\u5219\u8fd9\u4e9b\u7ec4\u5df2\u8fde\u63a5\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u7b2c\u4e00\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u5fc5\u987b\u8fde\u63a5\u5230\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u81f3\u5c11\u4e00\u4e2a\u70b9\uff0c\u7b2c\u4e8c\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u70b9\u5fc5\u987b\u8fde\u63a5\u5230\u7b2c\u4e00\u7ec4\u4e2d\u7684\u81f3\u5c11\u4e00\u4e2a\u70b9\u3002 \u8fd4\u56de\u8fde\u63a5\u4e24\u4e2a\u7ec4\u6240\u9700\u7684\u6700\u4f4e\u6210\u672c\u3002 \u793a\u4f8b1\uff1a \u8f93\u5165\uff1a \u6210\u672c = [[15, 96], [36, 2]] \u8f93\u51fa\uff1a 17 \u8bf4\u660e\uff1a\u8fde\u63a5\u7ec4\u7684\u6700\u4f73\u65b9\u5f0f\u662f\uff1a 1&#8211;a 2&#8211;b this results in a total cost of 17. \u793a\u4f8b2\uff1a \u8f93\u5165\uff1a \u6210\u672c = [[1, 3, 5], [4, 1, 1], [1, 5, 3]] \u8f93\u51fa\uff1a 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