{"id":59456,"date":"2026-01-13T21:57:10","date_gmt":"2026-01-13T13:57:10","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/59456.html"},"modified":"2026-01-13T21:57:10","modified_gmt":"2026-01-13T13:57:10","slug":"%e6%9c%80%e5%b0%8f%e7%94%9f%e6%88%90%e6%a0%91%ef%bc%9akruskal%e7%ae%97%e6%b3%95c%e8%af%ad%e8%a8%80","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/59456.html","title":{"rendered":"\u6700\u5c0f\u751f\u6210\u6811\uff1aKruskal\u7b97\u6cd5(C\u8bed\u8a00)"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>kruskal\u7b97\u6cd5<\/li>\n<li>\n<ul>\n<li>\u7406\u8bba<\/li>\n<li>\n<ul>\n<li>\u751f\u6210\u6811\u7684\u5b9a\u4e49<\/li>\n<li>\u751f\u6210\u6811\u7684\u5c5e\u6027<\/li>\n<li>\u5e94\u7528\u573a\u666f<\/li>\n<li>\u6700\u5c0f\u751f\u6210\u6811&#xff08;MiniTree&#xff09;<\/li>\n<li>\u514b\u9c81\u65af\u5361\u5c14&#xff08;Kruskal&#xff09;\u7b97\u6cd5<\/li>\n<li>\u8fb9\u96c6\u6570\u7ec4<\/li>\n<\/ul>\n<\/li>\n<li>\u4ee3\u7801<\/li>\n<li>\n<ul>\n<li>\u5934\u6587\u4ef6<\/li>\n<li>\n<ul>\n<li>\u90bb\u63a5\u77e9\u9635<\/li>\n<li>Kruskal<\/li>\n<\/ul>\n<\/li>\n<li>\u5b9e\u73b0\u51fd\u6570<\/li>\n<li>\n<ul>\n<li>\u90bb\u63a5\u77e9\u9635<\/li>\n<li>Kruskal<\/li>\n<\/ul>\n<\/li>\n<li>\u6d4b\u8bd5\u51fd\u6570<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\u6240\u6709\u4ee3\u7801<\/li>\n<li>\n<ul>\n<li>\u90bb\u63a5\u77e9\u9635<\/li>\n<li>Kruskal<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>kruskal\u7b97\u6cd5<\/h2>\n<h3>\u7406\u8bba<\/h3>\n<h4>\u751f\u6210\u6811\u7684\u5b9a\u4e49<\/h4>\n<p>\u2f00\u4e2a\u8fde\u901a\u56fe\u7684\u751f\u6210\u6811\u662f\u2f00\u4e2a\u6781\u5c0f\u7684\u8fde\u901a\u5b50\u56fe&#xff0c;\u5b83\u5305\u542b\u56fe\u4e2d\u5168\u90e8\u7684n\u4e2a\u9876\u70b9&#xff0c;\u4f46\u53ea\u6709\u6784\u6210\u2f00\u68f5\u6811\u7684n-1\u6761\u8fb9&#061;&#061;\u3002\u5bf9\u4e8e\u4e00\u68f5\u6811&#xff0c;\u9876\u70b9\u6570 n \u548c\u8fb9\u6570 m \u6ee1\u8db3\u5173\u7cfb m&#061;n\u22121&#061;&#061;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260113135708-69664f344b3f3.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" 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2&#xff08;\u4e0b\u6807&#xff09;<\/li>\n<\/ul>\n<h4>\u5e94\u7528\u573a\u666f<\/h4>\n<p>\u8ba1\u7b97\u673a\u7f51\u7edc&#xff0c;\u8def\u7531\u5668\u5185\u6838\u6709\u7528\u5230\u6700\u5c0f\u751f\u6210\u6811<\/p>\n<h4>\u6700\u5c0f\u751f\u6210\u6811&#xff08;MiniTree&#xff09;<\/h4>\n<p>\u6240\u8c13\u2f00\u4e2a\u5e26\u6743\u56fe\u7684\u6700\u6700\u5c0f\u6210\u6811&#xff0c;\u5c31\u662f\u539f\u56fe\u4e2d\u8fb9\u7684\u6743\u503c\u6700\u5c0f\u7684\u751f\u6210\u6811 &#xff0c;\u6240\u8c13\u6700\u5c0f\u662f\u6307\u8fb9\u7684\u6743\u503c\u4e4b\u548c\u5c0f\u4e8e\u6216\u8005\u7b49\u4e8e\u5176\u5b83\u751f\u6210\u6811\u7684\u8fb9\u7684\u6743\u503c\u4e4b\u548c\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260113135708-69664f3467fac.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>\u514b\u9c81\u65af\u5361\u5c14&#xff08;Kruskal&#xff09;\u7b97\u6cd5<\/h4>\n<p>m\u6761\u8fb9&#xff0c;n\u4e2a\u9876\u70b9&#xff0c;m\u6761\u8fb9\u91cc\u9762\u627en-1\u6761\u8fb9&#xff0c;\u4ed6\u4eec\u7684\u548c\u662f\u6700\u5c0f\u7684&#xff0c;\u800c\u4e14\u4ed6\u4eec\u4f1a\u6784\u6210\u6700\u5c0f\u751f\u6210\u6811&#xff08;\u65e0\u5411\u56fe&#xff09;<\/p>\n<p>\u7ea6\u675f<\/p>\n<ul>\n<li>\u52a0\u4e86\u4e00\u6761\u8fb9&#xff0c;\u4e0d\u4f1a\u4ea7\u751f\u73af<\/li>\n<\/ul>\n<p>\u901a\u8fc7\u5e76\u67e5\u96c6\u67e5\u627e&#xff0c;\u5728\u4e0d\u5728\u4e00\u4e2a\u96c6\u5408&#xff0c;\u5728\u5c31\u4e0d\u7528\u52a0\u8fd9\u6761\u8fb9\u4e86&#xff0c;\u591a\u4f59\u4e86<\/p>\n<h4>\u8fb9\u96c6\u6570\u7ec4<\/h4>\n<p>\u8fb9\u96c6\u6570\u7ec4&#xff0c;\u6216\u79f0\u8fb9\u6570\u7ec4&#xff0c;\u662f\u4e00\u79cd\u7528\u6765\u8868\u793a\u56fe\u7684\u6570\u636e\u7ed3\u6784\u3002\u5b83\u7684\u6838\u5fc3\u601d\u60f3\u975e\u5e38\u7b80\u5355&#xff1a; \u7528\u4e00\u4e2a\u4e00\u7ef4\u6570\u7ec4\u6765\u5b58\u50a8\u56fe\u4e2d\u7684\u6240\u6709\u8fb9&#xff0c;\u6570\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u5bf9\u5e94\u4e00\u6761\u8fb9\u3002<\/p>\n<h3>\u4ee3\u7801<\/h3>\n<h4>\u5934\u6587\u4ef6<\/h4>\n<h5>\u90bb\u63a5\u77e9\u9635<\/h5>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">define<\/span> <span class=\"token macro-name\">MAXNODENUM<\/span> <span class=\"token expression\"><span class=\"token number\">20<\/span><\/span><\/span><br \/>\n<span class=\"token comment\">\/\/\u8282\u70b9\u7ed3\u6784<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> no<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> show<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u6307\u9488\u6307\u5411\u540d\u5b57\u6570\u7ec4<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>MatrixVexNode<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u8fb9\u7ed3\u6784<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">int<\/span> MatrixVexEdge<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u56fe\u7ed3\u6784<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token punctuation\">{<\/span><\/p>\n<p>MatrixVexNode ver<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u9876\u70b9\u6570\u7ec4<\/span><br \/>\nMatrixVexEdge edge<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u77e9\u9635<\/span><br \/>\n<span class=\"token comment\">\/\/\u6743\u91cd\u586b\u5728\u90bb\u63a5\u77e9\u9635\u91cc\u9762<\/span><br \/>\n<span class=\"token keyword\">int<\/span> nodeNum<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> directed<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>MGraph<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521d\u59cb\u5316\u56fe\/\/\u591a\u5c11\u4e2a\u8282\u70b9<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">initMGraph<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> nodename<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeVaule<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> directed<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u6dfb\u52a0\u8fb9\/\/\u7d22\u5f15<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u904d\u5e03<\/span><br \/>\n<span class=\"token keyword\">int<\/span> MNodevisited<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u5168\u5c40\u53d8\u91cf\u5f00\u59cb\u5df2\u7ecf\u51680<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">DFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">initalizevisited<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">BFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h5>Kruskal<\/h5>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n <span class=\"token comment\">\/\/\u6839\u636e\u90bb\u63a5\u77e9\u9635\u6765\u751f\u6210\u8fb9\u96c6\u6570\u7ec4<\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;MGraph.h&#034;<\/span><\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> vervex1<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> vervex2<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> weight<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>EdgeSet<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521b\u5efa \u4f20\u8fdb\u6765\u8fb9\u7684\u6570\u91cf<\/span><br \/>\nEdgeSet<span class=\"token operator\">*<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521d\u59cb\u5316<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">sqrtEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/Kruskal<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de\u6700\u5c0f\u751f\u6210\u6811\u7684\u6743\u503c<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">Kruskal<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> EdgeSet<span class=\"token operator\">*<\/span> result<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h4>\u5b9e\u73b0\u51fd\u6570<\/h4>\n<h5>\u90bb\u63a5\u77e9\u9635<\/h5>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;string.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;MGraph.h&#034;<\/span><\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521d\u59cb\u5316\u56fe\/\/\u5f00\u59cb\u521d\u59cb\u5316\u4e3a\u4e00\u4e2a\u503c\u8868\u793a\u6ca1\u8fb9\/\/\u591a\u5c11\u4e2a\u8282\u70b9<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">initMGraph<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> nodename<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeVaule<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> directed<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span> <span class=\"token operator\">||<\/span> nodename <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>directed <span class=\"token operator\">&#061;<\/span> directed<span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edgeNum <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">&#061;<\/span> num<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>ver<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>no <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>ver<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show <span class=\"token operator\">&#061;<\/span> nodename<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> edgeVaule<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">IsEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>w <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> w <span class=\"token operator\">&lt;<\/span> INF<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u4e00\u6761\u6761\u6dfb\u52a0\u8fb9\/\/\u7d22\u5f15<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> x <span class=\"token operator\">&gt;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">||<\/span> y <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fb9\u800c\u4e14\u6743\u503c\u5408\u6cd5\u800c\u4e14\u6ca1\u52a0\u8fc7\u8fb9\u8fc7\u7684\u60c5\u51b5\u4e0b<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">IsEdge<\/span><span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> w<span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edgeNum<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5982\u679c\u65e0\u65b9\u5411<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>directed <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> w<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<h5>Kruskal<\/h5>\n<p>\u521b\u5efa\u8fb9\u96c6\u6570\u7ec4<\/p>\n<p><span class=\"token comment\">\/\/\u521b\u5efa \u4f20\u8fdb\u6765\u8fb9\u7684\u6570\u91cf n\u4e3a\u90bb\u63a5\u77e9\u9635\u5df2\u7ecf\u8bb0\u5f55\u7684\u8fb9\u6570\u91cf<\/span><br \/>\nEdgeSet<span class=\"token operator\">*<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nEdgeSet<span class=\"token operator\">*<\/span> edge <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">*<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> edge<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u521d\u59cb\u5316&#xff08;\u9ed8\u8ba4\u65e0\u5411\u56fe&#xff09;<\/p>\n<p>\u8fd4\u56de\u5b9e\u9645\u8fb9\u7684\u6570\u91cf<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260113135709-69664f352d47f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4ece\u90bb\u63a5\u77e9\u9635&#xff08;MGraph&#xff09;\u4e2d\u63d0\u53d6\u6240\u6709\u8fb9&#xff0c;\u5e76\u5b58\u50a8\u5230\u8fb9\u96c6\u6570\u7ec4&#xff08;EdgeSet *edges&#xff09;\u4e2d<\/p>\n<p>\u5c31\u662f\u628a\u8fb9\u96c6\u6570\u7ec4\u5168\u90e8\u586b\u6ee1<\/p>\n<p><span class=\"token operator\">\/<\/span>\u521d\u59cb\u5316<br \/>\n<span class=\"token comment\">\/\/\u901a\u8fc7\u4f20\u8fdb\u6765\u7684\u90bb\u63a5\u77e9\u9635\u6765 \u521d\u59cb\u5316 \u8fb9\u96c6\u6570\u7ec4<\/span><br \/>\n<span class=\"token comment\">\/\/\u901a\u8fc7\u90bb\u63a5\u77e9\u9635\u7684\u8fb9\u7684\u6743\u503c\u4e8c\u7ef4\u6570\u7ec4   \u7ea6\u675f\u6761\u4ef6 \u6743\u503c\u5927\u4e8e0<\/span><br \/>\n<span class=\"token comment\">\/\/num \u4e3a\u9876\u70b9\u7684\u6570\u91cf<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de&#043;1&#061;\u8fb9\u6570\u91cf (\u8fb9\u96c6\u6570\u7ec4\u7684\u7d22\u5f15&#043;1)<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token operator\">||<\/span> edge <span class=\"token operator\">&#061;&#061;<\/span><span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8bb0\u5f55\u7684\u8fb9\u4e2a\u6570<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/i 0 j 1 i 1 j 2 i3j4 <\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nedge<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1 <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\nedge<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2 <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\nedge<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight <span class=\"token operator\">&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nk<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> k<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>j &#061; i &#043; 1 \u8fd9\u4e2a\u5faa\u73af\u6761\u4ef6\u7684\u76ee\u7684\u662f\u907f\u514d\u91cd\u590d\u8bb0\u5f55\u65e0\u5411\u56fe\u7684\u540c\u4e00\u6761\u8fb9\u3002<\/p>\n<p>\u5047\u8bbe\u67094\u4e2a\u9876\u70b9\u7684\u56fe&#xff1a;<\/p>\n<p>text<\/p>\n<p>\u90bb\u63a5\u77e9\u9635&#xff1a; 0 1 2 3 0 [0, 2, 3, 0] 1 [2, 0, 4, 5] 2 [3, 4, 0, 6] 3 [0, 5, 6, 0]<\/p>\n<p>\u904d\u5386\u8fc7\u7a0b&#xff08;\u53ea\u904d\u5386\u4e0a\u4e09\u89d2&#xff09;&#xff1a;<\/p>\n<ul>\n<li>i&#061;0: j&#061;1,2,3 \u2192 \u8bb0\u5f55\u5750\u6807(0,1)\u3001(0,2)\u7684\u8fb9 &#xff08;0,3&#xff09;\u4e3a0<\/li>\n<li>i&#061;1: j&#061;2,3 \u2192 \u8bb0\u5f55\u5750\u6807(1,2)\u3001(1,3)\u7684\u8fb9<\/li>\n<li>i&#061;2: j&#061;3 \u2192 \u8bb0\u5f55\u5750\u6807(2,3)\u7684\u8fb9<\/li>\n<li>i&#061;3: \u65e0&#xff08;j\u4ece4\u5f00\u59cb&#xff0c;\u5df2\u8d85\u51fa\u8303\u56f4&#xff09;<\/li>\n<\/ul>\n<p>\u6392\u5e8f<\/p>\n<p>\u5229\u7528\u4e34\u65f6\u53d8\u91cf\u8fdb\u884c \u6392\u5e8f<\/p>\n<p><span class=\"token comment\">\/\/\u6392\u5e8f \u9009\u62e9\u6392\u5e8f<\/span><br \/>\n<span class=\"token comment\">\/\/memcpy\u51fd\u6570<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">sqrtEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span>  <span class=\"token punctuation\">;<\/span><br \/>\nEdgeSettemp<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> edgeNum<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> edgeNum<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight <span class=\"token operator\">&lt;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">memcpy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>temp<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memcpy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memcpy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>temp<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u5185\u5b58\u62f7\u8d1d memcpy<\/p>\n<p>void *p&#xff1a;\u8868\u793a\u53ef\u4ee5\u63a5\u6536\u4efb\u610f\u7a7a\u95f4\u5730\u5740<\/p>\n<p>\u4e0d\u5173\u5fc3\u600e\u4e48\u8bbf\u95ee&#xff0c;\u9000\u5316\u4e3a\u5b57\u8282\u8bbf\u95ee<\/p>\n<p>Kruskal<\/p>\n<li>\u5148\u5efa\u7acb\u5e76\u67e5\u96c6\u5e76\u521d\u59cb\u5316<\/li>\n<li>\u5728\u5df2\u7ecf\u6392\u5e8f\u7684\u8fb9\u96c6\u6570\u7ec4\u91cc\u9762\u904d\u5386\u6240\u6709\u7684\u8fb9 \u6ee1\u8db3\u6761\u4ef6\u7684\u653e\u8fdb\u53bb \u7ed3\u679c \u8fb9\u96c6\u6570\u7ec4<\/li>\n<li>\u7ea6\u675f\u6761\u4ef6\u662f\u6743\u503c&gt;0\u8fb9\u5b58\u5728\u4ee5\u53ca\u8fd9\u4e24\u4e2a\u9876\u70b9\u4e0d\u662f\u4e00\u4e2a\u96c6\u5408\u91cc\u9762\u7684<\/li>\n<li>\u6ee1\u8db3\u6761\u4ef6\u5c31\u52a0\u4e00\u5df2\u9009\u62e9\u7684\u8fb9\u6570 \u7ed3\u675f\u6761\u4ef6\u5c31\u662f\u9876\u70b9\u6570-1&#xff08;\u6811\u6709n\u4e2a\u9876\u70b9\u5c31\u6709n-1\u4e2a\u8fb9&#xff09;<\/li>\n<p><span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">findRoot<\/span><span class=\"token punctuation\">(<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> Uset<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>Uset <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>v <span class=\"token operator\">!&#061;<\/span> Uset<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nv <span class=\"token operator\">&#061;<\/span> Uset<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u5f80\u7236\u8282\u70b9\u53bb\u627e<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> v<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/Kruskal<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de\u6700\u5c0f\u751f\u6210\u6811\u7684\u6743\u503c<\/span><br \/>\n<span class=\"token comment\">\/\/ <\/span><br \/>\n<span class=\"token comment\">\/\/ <\/span><br \/>\n<span class=\"token comment\">\/\/\u521d\u59cb\u5316\u5e76\u67e5\u96c6(\u53ea\u9700\u8981\u6570\u7ec4\u5b58\u4e0b\u6807\u5bf9\u5e94\u7684\u7236\u8282\u70b9\u5c31\u884c)_<\/span><br \/>\n<span class=\"token comment\">\/\/\u904d\u5e03\u8fb9\u96c6\u6570\u7ec4 \u4e00\u65e6\u4e24\u4e2a\u9876\u70b9\u7684\u6839\u4e0d\u540c&#xff0c;\u4e0d\u662f\u540c\u4e00\u4e2a\u96c6\u5408<\/span><br \/>\n<span class=\"token comment\">\/\/ &#xff0c;\u5c31\u653e\u8fdb\u540c\u4e00\u4e2a\u96c6\u5408&#xff0c;&#xff08;\u66f4\u65b0\u7236\u8282\u70b9&#xff09;<\/span><br \/>\n<span class=\"token comment\">\/\/\u5f00\u59cb\u64cd\u4f5c \u7d2f\u8ba1\u52a0\u4e0a\u6743\u503c \u8bb0\u5f55\u5230\u7ed3\u679c\u6570\u7ec4 <\/span><br \/>\n<span class=\"token comment\">\/\/ \u957f\u6b64\u4ee5\u5f80 \u76f4\u5230\u904d\u5e03\u5230  \u7d2f\u52a0\u6743\u503c\u8fb9\u7684\u4e2a\u6570\u7b49\u4e8e\u9876\u70b9\u6570-1   \u5c31\u662f\u6700\u5c0f\u751f\u6210\u6811\u6811<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de\u7d2f\u52a0\u503c<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">Kruskal<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> EdgeSet<span class=\"token operator\">*<\/span> result<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token operator\">||<\/span>result<span class=\"token operator\">&#061;&#061;<\/span><span class=\"token constant\">NULL<\/span><span class=\"token operator\">||<\/span>g<span class=\"token operator\">&#061;&#061;<\/span><span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u521d\u59cb\u5316\u5e76\u67e5\u96c6 \u6bcf\u4e2a\u8282\u70b9\u53ea\u9700\u8981\u4e00\u4e2a\u4fe1\u606f&#xff1a;\u5b83\u7684\u7236\u8282\u70b9\u662f\u8c01<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> Uset <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>Uset <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nUset<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/ \u6839<\/span><br \/>\n<span class=\"token keyword\">int<\/span> weightSum <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> cur <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8bb0\u5f55\u591a\u5c11\u6761\u8fb9\u7d2f\u52a0\u4e86\u5df2\u9009\u62e9\u7684\u8fb9\u6570<\/span><\/p>\n<p>  <span class=\"token comment\">\/\/edgeNum\u662f\u8fb9\u7684\u6570\u91cf&#xff0c;\u800c\u6570\u7ec4\u4e0b\u6807\u4ece0\u5f00\u59cb<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> edgeNum <span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\na <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">findRoot<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">,<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nb <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">findRoot<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">,<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>a <span class=\"token operator\">!&#061;<\/span> b<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nUset<span class=\"token punctuation\">[<\/span>a<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> b<span class=\"token punctuation\">;<\/span><\/p>\n<p>result<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1 <span class=\"token operator\">&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1<span class=\"token punctuation\">;<\/span><br \/>\nresult<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2 <span class=\"token operator\">&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2<span class=\"token punctuation\">;<\/span><br \/>\nresult<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight <span class=\"token operator\">&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">;<\/span><br \/>\ncur<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>weightSum <span class=\"token operator\">&#043;&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/ \u5f53\u9009\u62e9\u7684\u8fb9\u6570\u7b49\u4e8e\u8282\u70b9\u6570-1\u65f6&#xff0c;\u6700\u5c0f\u751f\u6210\u6811\u5df2\u5b8c\u6210<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur <span class=\"token operator\">&#061;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> weightSum<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u4e24\u4e2a\u6761\u4ef6\u7684\u542b\u4e49<\/p>\n<p>g-&gt;nodeNum &#8211; 1<\/p>\n<p><span class=\"token comment\">\/\/ \u6700\u5c0f\u751f\u6210\u6811\u7684\u8fb9\u6570 &#061; \u9876\u70b9\u6570 &#8211; 1<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur <span class=\"token operator\">&#061;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<ul>\n<li>\n<p>\u610f\u4e49&#xff1a;\u6700\u5c0f\u751f\u6210\u6811\u5df2\u7ecf\u5b8c\u6210<\/p>\n<\/li>\n<li>\n<p>\u4f9d\u636e&#xff1a;\u5bf9\u4e8e\u4e00\u4e2a\u8fde\u901a\u56fe&#xff0c;\u6700\u5c0f\u751f\u6210\u6811\u4e00\u5b9a\u6709 n-1 \u6761\u8fb9&#xff08;n\u4e3a\u9876\u70b9\u6570&#xff09;<\/p>\n<\/li>\n<li>\n<p>\u76ee\u7684&#xff1a;\u63d0\u524d\u7ed3\u675f\u7b97\u6cd5&#xff0c;\u4e0d\u518d\u5904\u7406\u5269\u4f59\u7684\u8fb9<\/p>\n<\/li>\n<\/ul>\n<p>edgeNum<\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> edgeNum <span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span>  <\/p>\n<ul>\n<li>\u610f\u4e49&#xff1a;\u904d\u5386\u6240\u6709\u7684\u8fb9<\/li>\n<li>\u4f9d\u636e&#xff1a;\u9700\u8981\u68c0\u67e5\u6bcf\u6761\u8fb9&#xff0c;\u770b\u5b83\u662f\u5426\u5c5e\u4e8e\u6700\u5c0f\u751f\u6210\u6811<\/li>\n<li>\u76ee\u7684&#xff1a;\u786e\u4fdd\u8003\u8651\u4e86\u6240\u6709\u53ef\u80fd\u7684\u8fb9<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260113135709-69664f3541676.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/li>\n<\/ul>\n<p>\u6700\u5c0f\u751f\u6210\u6811<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260113135709-69664f355360b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>\u6d4b\u8bd5\u51fd\u6570<\/h4>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;Kruskal.h&#034;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;string.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;MGraph.h&#034;<\/span><\/span><\/p>\n<p><span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">testKruskal<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nMGraph graph<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> nodeName<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token string\">&#034;A&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;B&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;C&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;D&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;E&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;F&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;G&#034;<\/span> <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">initMGraph<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> nodeName<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>nodeName<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>nodeName<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph <span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">12<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph <span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">16<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">14<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">9<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    EdgeSet<span class=\"token operator\">*<\/span> edge <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span>graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    EdgeSet<span class=\"token operator\">*<\/span> result <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span>graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">sqrtEdgeSet<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6700\u5c0f\u6743\u503c\u548c&#xff1a;%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">Kruskal<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> result<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5faa\u73af\u6761\u4ef6\u662fgraph.nodeNum-1 \u6700\u5c0f\u751f\u6210\u6811\u7684\u8fb9\u4e2a\u6570\u4e3a\u9876\u70b9-1<\/span><br \/>\n     <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> graph<span class=\"token punctuation\">.<\/span>nodeNum<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n   <span class=\"token punctuation\">{<\/span><br \/>\n       <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%s&#8212;&#8212;&#8212;&#8211;%d&#8212;&#8212;&#8212;-%s\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>ver<span class=\"token punctuation\">[<\/span>result<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">,<\/span><br \/>\n           result<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>ver<span class=\"token punctuation\">[<\/span>result<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n   <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">testKruskal<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h2>\u6240\u6709\u4ee3\u7801<\/h2>\n<h3>\u90bb\u63a5\u77e9\u9635<\/h3>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">define<\/span> <span class=\"token macro-name\">MAXNODENUM<\/span> <span class=\"token expression\"><span class=\"token number\">20<\/span><\/span><\/span><br \/>\n<span class=\"token comment\">\/\/\u8282\u70b9\u7ed3\u6784<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> no<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> show<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u6307\u9488\u6307\u5411\u540d\u5b57\u6570\u7ec4<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>MatrixVexNode<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u8fb9\u7ed3\u6784<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">int<\/span> MatrixVexEdge<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u56fe\u7ed3\u6784<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token punctuation\">{<\/span><\/p>\n<p>MatrixVexNode ver<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u9876\u70b9\u6570\u7ec4<\/span><br \/>\nMatrixVexEdge edge<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u77e9\u9635<\/span><br \/>\n<span class=\"token comment\">\/\/\u6743\u91cd\u586b\u5728\u90bb\u63a5\u77e9\u9635\u91cc\u9762<\/span><br \/>\n<span class=\"token keyword\">int<\/span> nodeNum<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> directed<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>MGraph<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521d\u59cb\u5316\u56fe\/\/\u591a\u5c11\u4e2a\u8282\u70b9<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">initMGraph<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> nodename<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeVaule<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> directed<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u6dfb\u52a0\u8fb9\/\/\u7d22\u5f15<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u904d\u5e03<\/span><br \/>\n<span class=\"token keyword\">int<\/span> MNodevisited<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u5168\u5c40\u53d8\u91cf\u5f00\u59cb\u5df2\u7ecf\u51680<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">DFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">initalizevisited<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">BFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;string.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;MGraph.h&#034;<\/span><\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">define<\/span> <span class=\"token macro-name\">INF<\/span> <span class=\"token expression\"><span class=\"token number\">1e4<\/span><\/span><\/span><br \/>\n<span class=\"token comment\">\/\/\u521d\u59cb\u5316\u56fe\/\/\u5f00\u59cb\u521d\u59cb\u5316\u4e3a\u4e00\u4e2a\u503c\u8868\u793a\u6ca1\u8fb9\/\/\u591a\u5c11\u4e2a\u8282\u70b9<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">initMGraph<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> nodename<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeVaule<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> directed<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span> <span class=\"token operator\">||<\/span> nodename <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>directed <span class=\"token operator\">&#061;<\/span> directed<span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edgeNum <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">&#061;<\/span> num<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>ver<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>no <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>ver<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show <span class=\"token operator\">&#061;<\/span> nodename<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> edgeVaule<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">IsEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>w <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> w <span class=\"token operator\">&lt;<\/span> INF<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u4e00\u6761\u6761\u6dfb\u52a0\u8fb9\/\/\u7d22\u5f15<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> x <span class=\"token operator\">&gt;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">||<\/span> y <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fb9\u800c\u4e14\u6743\u503c\u5408\u6cd5\u800c\u4e14\u6ca1\u52a0\u8fc7\u8fb9\u8fc7\u7684\u60c5\u51b5\u4e0b<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">IsEdge<\/span><span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> w<span class=\"token punctuation\">;<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edgeNum<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5982\u679c\u65e0\u65b9\u5411<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>directed <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\ng<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> w<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u904d\u5e03<\/span><\/p>\n<p><span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">visitnode<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> show<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%s\\\\t&#034;<\/span><span class=\"token punctuation\">,<\/span> show<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u9012\u5f52 \u907f\u514d\u6b7b\u5faa\u73af<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">DFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>v <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> v <span class=\"token operator\">&gt;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token function\">visitnode<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>ver<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nMNodevisited<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>MNodevisited<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">IsEdge<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">DFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">initalizevisited<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> MAXNODENUM<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nMNodevisited<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u4ece\u67d0\u4e2a\u9876\u70b9\u5f00\u59cb\u4ece\u8ddd\u79bb\u8fd1\u5230\u8fdc\u904d\u5e03<\/span><br \/>\n<span class=\"token comment\">\/\/\u4e34\u65f6\u961f\u5217\u6765\u5199  \u4e0b\u6807<\/span><br \/>\n<span class=\"token comment\">\/\/ \u5165\u961f\u65f6MNodevisited\u4e3a1 \u51fa\u961f\u904d\u5e03<\/span><br \/>\n<span class=\"token comment\">\/\/1.\u521b\u5efa\u961f\u52172.\u6fc0\u6d3b\u961f\u5217\u5165\u961f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">BFSMGraphTravel<\/span><span class=\"token punctuation\">(<\/span>MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>v <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> v <span class=\"token operator\">&gt;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/1.\u521b\u5efa\u961f\u5217<\/span><br \/>\n<span class=\"token keyword\">int<\/span> queue<span class=\"token punctuation\">[<\/span>MAXNODENUM<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> rear <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token keyword\">int<\/span> front <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> cur <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u5f53\u524d\u8bbf\u95ee\u8282\u70b9&#xff0c;\u4e3a\u4e86\u904d\u5e03<\/span><\/p>\n<p><span class=\"token comment\">\/\/2.\u6fc0\u6d3b\u961f\u5217\u5165\u961f<\/span><br \/>\nqueue<span class=\"token punctuation\">[<\/span>rear<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> v<span class=\"token punctuation\">;<\/span><br \/>\nMNodevisited<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\nrear <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>rear <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> MAXNODENUM<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/\u51fa\u961f\u5217<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/3.\u5148\u51fa\u961f\u81ea\u5df1&#xff0c;     \u51fa\u961f\u518d\u8bbf\u95ee<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> queue<span class=\"token punctuation\">[<\/span>front<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nfront <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>front <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> MAXNODENUM<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">visitnode<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>ver<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/\u904d\u5e03\u8fb9<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">IsEdge<\/span><span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/ 4.\u4e0d\u65ad\u904d\u5e03\u6240\u6709\u53ef\u80fd\u7684\u5165\u961f  \u6cbf\u7740\u8fb9 <\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>MNodevisited<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nqueue<span class=\"token punctuation\">[<\/span>rear<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\nMNodevisited<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\nrear <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>rear <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> MAXNODENUM<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>Kruskal<\/h3>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n <span class=\"token comment\">\/\/\u6839\u636e\u90bb\u63a5\u77e9\u9635\u6765\u751f\u6210\u8fb9\u96c6\u6570\u7ec4<\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;MGraph.h&#034;<\/span><\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> vervex1<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> vervex2<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> weight<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>EdgeSet<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521b\u5efa \u4f20\u8fdb\u6765\u8fb9\u7684\u6570\u91cf<\/span><br \/>\nEdgeSet<span class=\"token operator\">*<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521d\u59cb\u5316<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">sqrtEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/Kruskal<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de\u6700\u5c0f\u751f\u6210\u6811\u7684\u6743\u503c<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">Kruskal<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> EdgeSet<span class=\"token operator\">*<\/span> result<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;Kruskal.h&#034;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;string.h&gt;<\/span><\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521b\u5efa \u4f20\u8fdb\u6765\u8fb9\u7684\u6570\u91cf n\u4e3a\u90bb\u63a5\u77e9\u9635\u5df2\u7ecf\u8bb0\u5f55\u7684\u8fb9\u6570\u91cf<\/span><br \/>\nEdgeSet<span class=\"token operator\">*<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nEdgeSet<span class=\"token operator\">*<\/span> edge <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">*<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> edge<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u521d\u59cb\u5316<\/span><br \/>\n<span class=\"token comment\">\/\/\u901a\u8fc7\u4f20\u8fdb\u6765\u7684\u90bb\u63a5\u77e9\u9635\u6765 \u521d\u59cb\u5316 \u8fb9\u96c6\u6570\u7ec4<\/span><br \/>\n<span class=\"token comment\">\/\/\u901a\u8fc7\u90bb\u63a5\u77e9\u9635\u7684\u8fb9\u7684\u6743\u503c\u4e8c\u7ef4\u6570\u7ec4   \u7ea6\u675f\u6761\u4ef6 \u6743\u503c\u5927\u4e8e0<\/span><br \/>\n<span class=\"token comment\">\/\/num \u4e3a\u9876\u70b9\u7684\u6570\u91cf<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de&#043;1&#061;\u8fb9\u6570\u91cf (\u8fb9\u96c6\u6570\u7ec4\u7684\u7d22\u5f15&#043;1)<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> num<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token operator\">||<\/span> edge <span class=\"token operator\">&#061;&#061;<\/span><span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8bb0\u5f55\u7684\u8fb9\u4e2a\u6570<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> num<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/i 0 j 1 i 1 j 2 i3j4 <\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>g<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nedge<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1 <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\nedge<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2 <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\nedge<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight <span class=\"token operator\">&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nk<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> k<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u6392\u5e8f \u9009\u62e9\u6392\u5e8f<\/span><br \/>\n<span class=\"token comment\">\/\/memcpy\u51fd\u6570<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">sqrtEdgeSet<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span>  <span class=\"token punctuation\">;<\/span><br \/>\nEdgeSettemp<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> edgeNum<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> edgeNum<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight <span class=\"token operator\">&lt;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">memcpy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>temp<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memcpy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memcpy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>temp<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">findRoot<\/span><span class=\"token punctuation\">(<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> Uset<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>Uset <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>v <span class=\"token operator\">!&#061;<\/span> Uset<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nv <span class=\"token operator\">&#061;<\/span> Uset<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u5f80\u7236\u8282\u70b9\u53bb\u627e<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> v<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/Kruskal<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de\u6700\u5c0f\u751f\u6210\u6811\u7684\u6743\u503c<\/span><br \/>\n<span class=\"token comment\">\/\/ <\/span><br \/>\n<span class=\"token comment\">\/\/ <\/span><br \/>\n<span class=\"token comment\">\/\/\u521d\u59cb\u5316\u5e76\u67e5\u96c6(\u53ea\u9700\u8981\u6570\u7ec4\u5b58\u4e0b\u6807\u5bf9\u5e94\u7684\u7236\u8282\u70b9\u5c31\u884c)_<\/span><br \/>\n<span class=\"token comment\">\/\/\u904d\u5e03\u8fb9\u96c6\u6570\u7ec4 \u4e00\u65e6\u4e24\u4e2a\u9876\u70b9\u7684\u6839\u4e0d\u540c&#xff0c;\u4e0d\u662f\u540c\u4e00\u4e2a\u96c6\u5408<\/span><br \/>\n<span class=\"token comment\">\/\/ &#xff0c;\u5c31\u653e\u8fdb\u540c\u4e00\u4e2a\u96c6\u5408&#xff0c;&#xff08;\u66f4\u65b0\u7236\u8282\u70b9&#xff09;<\/span><br \/>\n<span class=\"token comment\">\/\/\u5f00\u59cb\u64cd\u4f5c \u7d2f\u8ba1\u52a0\u4e0a\u6743\u503c \u8bb0\u5f55\u5230\u7ed3\u679c\u6570\u7ec4 <\/span><br \/>\n<span class=\"token comment\">\/\/ \u957f\u6b64\u4ee5\u5f80 \u76f4\u5230\u904d\u5e03\u5230  \u7d2f\u52a0\u6743\u503c\u8fb9\u7684\u4e2a\u6570\u7b49\u4e8e\u9876\u70b9\u6570-1   \u5c31\u662f\u6700\u5c0f\u751f\u6210\u6811\u6811<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd4\u56de\u7d2f\u52a0\u503c<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">Kruskal<\/span><span class=\"token punctuation\">(<\/span>EdgeSet<span class=\"token operator\">*<\/span> edge<span class=\"token punctuation\">,<\/span> EdgeSet<span class=\"token operator\">*<\/span> result<span class=\"token punctuation\">,<\/span> MGraph<span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> edgeNum<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token operator\">||<\/span>result<span class=\"token operator\">&#061;&#061;<\/span><span class=\"token constant\">NULL<\/span><span class=\"token operator\">||<\/span>g<span class=\"token operator\">&#061;&#061;<\/span><span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u521d\u59cb\u5316\u5e76\u67e5\u96c6 \u6bcf\u4e2a\u8282\u70b9\u53ea\u9700\u8981\u4e00\u4e2a\u4fe1\u606f&#xff1a;\u5b83\u7684\u7236\u8282\u70b9\u662f\u8c01<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> Uset <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>Uset <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nUset<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/ \u6839<\/span><br \/>\n<span class=\"token keyword\">int<\/span> weightSum <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> cur <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8bb0\u5f55\u591a\u5c11\u6761\u8fb9\u7d2f\u52a0\u4e86\u5df2\u9009\u62e9\u7684\u8fb9\u6570<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> edgeNum<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\na <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">findRoot<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">,<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nb <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">findRoot<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">,<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>a <span class=\"token operator\">!&#061;<\/span> b<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nUset<span class=\"token punctuation\">[<\/span>a<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> b<span class=\"token punctuation\">;<\/span><\/p>\n<p>result<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1 <span class=\"token operator\">&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1<span class=\"token punctuation\">;<\/span><br \/>\nresult<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2 <span class=\"token operator\">&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2<span class=\"token punctuation\">;<\/span><br \/>\nresult<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight <span class=\"token operator\">&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">;<\/span><br \/>\ncur<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>weightSum <span class=\"token operator\">&#043;&#061;<\/span> edge<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/ \u5f53\u9009\u62e9\u7684\u8fb9\u6570\u7b49\u4e8e\u8282\u70b9\u6570-1\u65f6&#xff0c;\u6700\u5c0f\u751f\u6210\u6811\u5df2\u5b8c\u6210<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur <span class=\"token operator\">&#061;&#061;<\/span> g<span class=\"token operator\">-&gt;<\/span>nodeNum <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>Uset<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">return<\/span> weightSum<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;Kruskal.h&#034;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;string.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&#034;MGraph.h&#034;<\/span><\/span><\/p>\n<p><span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">testKruskal<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nMGraph graph<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">char<\/span><span class=\"token operator\">*<\/span> nodeName<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token string\">&#034;A&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;B&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;C&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;D&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;E&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;F&#034;<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">&#034;G&#034;<\/span> <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">initMGraph<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> nodeName<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>nodeName<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>nodeName<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph <span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">12<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph <span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">16<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">14<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">addMGraphEdge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">9<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    EdgeSet<span class=\"token operator\">*<\/span> edge <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span>graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    EdgeSet<span class=\"token operator\">*<\/span> result <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">createEdgeSet<\/span><span class=\"token punctuation\">(<\/span>graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">initEdgeSet<\/span><span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">sqrtEdgeSet<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6700\u5c0f\u6743\u503c\u548c&#xff1a;%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">Kruskal<\/span><span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">,<\/span> result<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>graph<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>edgeNum<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5faa\u73af\u6761\u4ef6\u662fgraph.nodeNum-1 \u6700\u5c0f\u751f\u6210\u6811\u7684\u8fb9\u4e2a\u6570\u4e3a\u9876\u70b9-1<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> graph<span class=\"token punctuation\">.<\/span>nodeNum<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%s&#8212;&#8212;&#8212;&#8211;%d&#8212;&#8212;&#8212;-%s\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>ver<span class=\"token punctuation\">[<\/span>result<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex1<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">,<\/span><br \/>\n            result<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>weight<span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">.<\/span>ver<span class=\"token punctuation\">[<\/span>result<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>vervex2<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>edge<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span 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