{"id":97376,"date":"2026-08-29T11:08:48","date_gmt":"2026-08-29T03:08:48","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/97376.html"},"modified":"2026-08-29T11:08:48","modified_gmt":"2026-08-29T03:08:48","slug":"%e5%9b%be%e8%ae%ba-%e6%9c%80%e5%b0%8f%e7%94%9f%e6%88%90%e6%a0%91%e5%86%85%e5%90%ab%e4%ba%8c%e5%88%86%e5%9b%be","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/97376.html","title":{"rendered":"\u56fe\u8bba--\u6700\u5c0f\u751f\u6210\u6811(\u5185\u542b\u4e8c\u5206\u56fe)"},"content":{"rendered":"

\u56fe\u8bba\u2013\u6700\u5c0f\u751f\u6210\u6811<\/h3>\n

\u672c\u5c0f\u7ae0\u8282\u7684\u5185\u5bb9\u9887\u591a，\u4f46\u662f\u8463\u4e8b\u5f88\u7ecf\u5178\u7684\u5185\u5bb9，\u7531\u4e8e\u4e3b\u5305\u4e5f\u662f\u4e00\u540d\u5b9e\u7528\u4e3b\u4e49，\u6240\u4ee5\u4e0d\u9002\u7528\u7684\u77e5\u8bc6\u6211\u4eec\u4e5f\u76f4\u63a5\u4e0d\u8bb2\u4e86！<\/p>\n

\u6211\u4eec\u7684\u6700\u5c0f\u751f\u6210\u6811\u5185\u5bb9\u6709\u5982\u4e0b<\/p>\n

\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u554a，\u56fe\u4e0a\u4e5f\u6253\u5bf9\u53c9\u4e86，\u8fd9\u4e2aPrim\u5806\u4f18\u5316\u7248\u672c\u5341\u5206\u4e0d\u5e38\u7528，\u4e00\u822c\u90fd\u662f\u7528\u514b\u9c81\u65af\u5361\u5c14\u6765\u4ee3\u66ff，\u56e0\u4e3a\u514b\u9c81\u65af\u5361\u5c14\u65f6\u95f4\u590d\u6742\u5ea6\u6bd4\u5b83\u5feb\u4e2a\u5e38\u6570\u500d，\u7136\u540e\u82cf\u91cc\u8fd8\u5f88\u597d\u7406\u89e3\u3002<\/p>\n

\u4e8c\u5206\u56fe\u4e5f\u662f\u4e00\u4e2a\u5f88\u5e38\u8003，\u5f88\u91cd\u8981\u7684\u7b97\u6cd5，\u5728\u8fd9\u91cc\u4e00\u5e76\u8bb2\u89e3\u4e86\u3002<\/p>\n

\u6700\u5c0f\u751f\u6210\u6811：<\/h6>\n

Prim（\u6734\u7d20\u7248\u672c）<\/p>\n

\u514b\u9c81\u65af\u5361\u5c14<\/p>\n

\u4e8c\u5206\u56fe<\/h6>\n

\u67d3\u8272\u6cd5<\/p>\n

\u5308\u7259\u5229\u7b97\u6cd5<\/p>\n

\u70b9\u51fb\u4e0a\u65b9\u4e13\u8f91\u8bd5\u8bd5\u5462！<\/p>\n

\n

\u6700\u5c0f\u751f\u6210\u6811<\/h4>\n<\/p>\n

Prim（\u6734\u7d20\u7248\u672c）<\/h5>\n

Prim\u7b97\u6cd5\u662f\u4e00\u4e2a\u5f88\u7ecf\u5178\u7684\u627e\u6700\u5c0f\u751f\u6210\u6811\u95ee\u9898，\u5176\u677f\u5b50\u5982\u4e0b<\/p>\n

P3366 \u3010\u6a21\u677f\u3011\u6700\u5c0f\u751f\u6210\u6811 – \u6d1b\u8c37<\/p>\n

\u5176\u505a\u6cd5\u5c31\u662f\u5148\u5efa\u56fe\u8fd9\u4e2a\u56fe\u8bba\u7684\u5f88\u591a\u95ee\u9898\u90fd\u662f\u5148\u5efa\u56fe，\u4e4b\u540e\u76f4\u63a5\u8fdb\u5165Prim\u51fd\u6570\u6765\u8fd0\u884c，\u90a3\u4e48\u6211\u4eec\u7684Prim\u600e\u4e48\u505a\u5462？\u9996\u5148\u6211\u4eec\u628a\u6240\u6709\u7684\u70b9\u90fd\u521d\u59cb\u5316\u4e3aINF，\u53ea\u6709\u70b91\u7684\u8ddd\u79bb\u662f0，\u90a3\u4e48\u5bf9\u4e8en\u4e2a\u70b9，\u6211\u4eec\u904d\u5386n\u6b21，\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u70b9，\u5982\u679c\u5b83\u6ca1\u6709\u88ab\u6807\u8bb0\u8fc7，\u5e76\u4e14\u5b83\u5982\u679c\u662f\u627e\u5230\u7684\u7b2c\u4e00\u4e2a\u6ca1\u88ab\u6807\u8bb0\u7684\u70b9，\u6216\u8005\u8fd9\u4e2a\u70b9\u6bd4\u4e0a\u4e00\u4e2a\u70b9\u8ddd\u79bb\u66f4\u52a0\u8fd1，\u90a3\u4e48\u6211\u4eec\u5c31\u628a\u6307\u9488\u53d8\u5230j，\u6700\u540e\u5982\u679c\u6ca1\u627e\u5230\u6216\u8005\u8fd9\u4e2a\u70b9\u7684\u8ddd\u79bb\u662f\u6b63\u65e0\u7a77，\u90a3\u4e48\u80af\u5b9a\u662f\u4e0d\u7b26\u5408\u9898\u610f\u7684，\u76f4\u63a5\u9000\u51fa\u51fd\u6570\u8f93\u51faorz，\u5426\u5219\u6211\u4eec\u5c31\u628a\u8fd9\u4e2a\u6700\u5c0f\u8ddd\u79bb\u7684\u70b9\u6807\u8bb0\u4e3atrue，\u7d27\u63a5\u7740\u6211\u4eec\u5bf9\u4e8e\u957f\u5ea6\u8fdb\u884c\u8bb0\u5f55\u7d2f\u52a0，\u7136\u540e\u6211\u4eec\u5bf9\u4e8e\u8fd9\u4e2a\u6700\u8fd1\u70b9\u7684\u4e00\u4e9b\u8fde\u63a5\u70b9\u8fdb\u884c\u904d\u5386，\u66f4\u65b0\u5176\u4e00\u4e9b\u70b9\u7684\u6700\u5c0f\u8ddd\u79bb\u3002\u8fd9\u6574\u4e00\u4e2a\u8fc7\u7a0b\u904d\u5386n\u904d\u5c31\u884c\u4e86\u3002(\u7b49\u6211\u4eec\u4ee3\u7801\u5199\u51fa\u6765，\u4f1a\u53d1\u73b0，\u5b83\u7684\u4ee3\u7801\u903b\u8f91\u548cDijkstra\u5341\u5206\u76f8\u4f3c)<\/p>\n

#<\/span>include<\/span><bits\/stdc++.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

const<\/span> int<\/span> N=<\/span>5010<\/span>;<\/span>
\nconst<\/span> int<\/span> INF=<\/span>0x3f3f3f3f<\/span>;<\/span><\/p>\n

int<\/span> n,<\/span>m;<\/span>
\nint<\/span> g[<\/span>N]<\/span>[<\/span>N]<\/span>;<\/span>
\nint<\/span> dist[<\/span>N]<\/span>;<\/span>
\nbool<\/span> st[<\/span>N]<\/span>;<\/span>
\nint<\/span> ans=<\/span>0<\/span>;<\/span><\/p>\n

void<\/span> prime<\/span>(<\/span>)<\/span>
\n{<\/span>
\nmemset<\/span>(<\/span>dist,<\/span>0x3f<\/span>,<\/span>sizeof<\/span> dist)<\/span>;<\/span>
\ndist[<\/span>1<\/span>]<\/span>=<\/span>0<\/span>;<\/span>
\nans=<\/span>0<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>0<\/span>;<\/span>i<<\/span>n;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nint<\/span> t=<\/span>–<\/span>1<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> j=<\/span>1<\/span>;<\/span>j<=<\/span>n;<\/span>j++<\/span>)<\/span>
\nif<\/span>(<\/span>!<\/span>st[<\/span>j]<\/span>&&<\/span>(<\/span>t==<\/span>–<\/span>1<\/span>||<\/span>dist[<\/span>t]<\/span>><\/span>dist[<\/span>j]<\/span>)<\/span>)<\/span>
\nt=<\/span>j;<\/span>
\nif<\/span>(<\/span>t==<\/span>–<\/span>1<\/span>||<\/span>dist[<\/span>t]<\/span>==<\/span>INF)<\/span> {<\/span>
\nans=<\/span>–<\/span>1<\/span>;<\/span>
\nreturn<\/span>;<\/span>
\n}<\/span>
\nst[<\/span>t]<\/span>=<\/span>true<\/span>;<\/span>
\nif<\/span>(<\/span>i)<\/span> ans+=<\/span>dist[<\/span>t]<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> j=<\/span>1<\/span>;<\/span>j<=<\/span>n;<\/span>j++<\/span>)<\/span> {<\/span>
\nif<\/span>(<\/span>!<\/span>st[<\/span>j]<\/span>&&<\/span>g[<\/span>t]<\/span>[<\/span>j]<\/span><<\/span>dist[<\/span>j]<\/span>)<\/span> dist[<\/span>j]<\/span>=<\/span>g[<\/span>t]<\/span>[<\/span>j]<\/span>;<\/span>
\n }<\/span>
\n}<\/span>
\n}<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span>
\n{<\/span>
\ncin>><\/span>n>><\/span>m;<\/span>
\nmemset<\/span>(<\/span>g,<\/span>0x3f<\/span>,<\/span>sizeof<\/span> g)<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>0<\/span>;<\/span>i<<\/span>m;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nint<\/span> a,<\/span>b,<\/span>c;<\/span>
\ncin>><\/span>a>><\/span>b>><\/span>c;<\/span>
\ng[<\/span>a]<\/span>[<\/span>b]<\/span>=<\/span>min<\/span>(<\/span>g[<\/span>a]<\/span>[<\/span>b]<\/span>,<\/span>c)<\/span>;<\/span>
\ng[<\/span>b]<\/span>[<\/span>a]<\/span>=<\/span>min<\/span>(<\/span>g[<\/span>b]<\/span>[<\/span>a]<\/span>,<\/span>c)<\/span>;<\/span>
\n}<\/span>
\nprime<\/span>(<\/span>)<\/span>;<\/span>
\nif<\/span>(<\/span>ans==<\/span>–<\/span>1<\/span>)<\/span> cout<<<\/span>"orz"<\/span><<<\/span>endl;<\/span>
\nelse<\/span> cout<<<\/span>ans<<<\/span>endl;<\/span><\/p>\n

}<\/span><\/p>\n

\u8fd9\u4e2a\u8fc7\u7a0b\u548cDijkstra\u57fa\u672c\u4e00\u81f4，\u4f46\u662f\u7531\u4e8e\u4e00\u4e2a\u662f\u6700\u77ed\u8def\u5f84，\u4e00\u4e2a\u662f\u6700\u5c0f\u751f\u6210\u6811，\u6240\u4ee5\u8fd9\u91cc\u5199\u6cd5\u4f1a\u6709\u70b9\u4e0d\u540c，\u4f46\u662f\u6211\u4eec\u7406\u89e3\u8d77\u6765\u5c31\u5f88\u597d\u4e86\u3002<\/p>\n

\n
\u514b\u9c81\u65af\u5361\u5c14\u7b97\u6cd5<\/h6>\n

\u8fd9\u4e2a\u7b97\u6cd5\u53ef\u4ee5\u5904\u7406\u8fb9\u7a00\u758f\u95ee\u9898，\u5e76\u4e14\u65f6\u5c06\u590d\u6742\u5ea6\u4e0a\u4e5f\u6bd4Prim\u597d\u4e00\u4e2alog\u7ea7\u522b，\u5b83\u7684\u601d\u8def\u548cPrim\u4e0d\u540c\u7684\u662f，\u90a3\u4e2a\u662f\u627e\u4ece\u4e00\u4e2a\u96c6\u5408\u51fa\u53d1\u7684\u6700\u77ed\u8def\u5f84，\u800c\u8fd9\u4e2a\u7b97\u6cd5\u6211\u4eec\u627e\u7684\u662f\u6574\u5c40\u7684\u6700\u77ed\u8def\u5f84，\u53ea\u8981\u4e0d\u4f1a\u9020\u6210\u91cd\u590d\u548c\u6210\u73af，\u6700\u7ec8\u6211\u4eec\u53ea\u8981\u8fbe\u5230n\u4e2a\u70b9\u9009\u62e9n-1\u4e2a\u70b9\u5c31\u884c\u4e86\u3002<\/p>\n

\u5806，\u8fd8\u6709\u4e00\u70b9\u533a\u522b\u5c31\u662f，Prim\u7b97\u6cd5\u4e00\u822c\u90fd\u662f\u7ed9\u4f60\u4e00\u4e2a\u70b9\u8fdb\u884c\u9009\u62e9\u7ebf\u6bb5\u6765\u751f\u6210\u6700\u5c0f\u6811，\u800c\u514b\u9c81\u65af\u5361\u5c14\u662f\u4e0d\u7ed9\u4f60\u70b9，\u8ba9\u4f60\u81ea\u5df1\u6765\u9009\u9009\u62e9\u4e00\u4e2a\u70b9，\u6240\u4ee5\u8fd8\u6709\u8fd9\u70b9\u5dee\u522b，\u5e76\u8fd0\u7528\u4e86\u5e76\u67e5\u96c6\u7684\u77e5\u8bc6\u3002\u9996\u5e2d\u6309\u9009\u62e9\u6700\u77ed\u8fb9\u8fd9\u4e2a\u8fc7\u7a0b\u6211\u4eec\u5c31\u9700\u8981\u8fdb\u884c\u7ed3\u6784\u4f53\u6392\u5e8f，\u7136\u540e\u6211\u4eec\u8fdb\u884c\u904d\u5386\u7ed3\u6784\u4f53\u7684\u4e00\u4e2a\u4e00\u4e2a\u70b9，\u8fdb\u884c\u5e76\u67e5\u96c6\u6765\u5224\u65ad\u8fd9\u4e2a\u70b9\u662f\u5426\u5df2\u7ecf\u5728\u4e00\u4e2a\u96c6\u5408\u91cc\u9762，\u8981\u662f\u4e0d\u5728，\u6211\u4eec\u5c31\u8981\u5b83\u5e76\u7d2f\u52a0\u6743\u503c，\u6700\u540e\u6211\u4eec\u8f93\u51fa\u7d2f\u52a0\u6743\u503c\u5c31\u884c\u4e86\u3002<\/p>\n

\u5176\u4e00\u4e2a\u5f88\u6807\u51c6\u7684\u9898\u76ee：\u6316\u6c9f<\/p>\n

\u5b83\u5c31\u662f\u4e00\u4e2a\u5f88\u6807\u51c6\u7684\u514b\u9c81\u65af\u5361\u5c14\u677f\u5b50\u9898\u76ee，\u5148\u5b9a\u4e49\u4e00\u4e2a\u7ed3\u6784\u4f53，\u7136\u540e\u8f93\u5165\u4e4b\u540e\u6211\u4eec\u8fdb\u884c\u6392\u5e8f，\u4e4b\u540e\u5148\u521d\u59cb\u5316\u6240\u6709\u70b9\u7684\u8ddf\u662f\u81ea\u5df1，\u7136\u540e\u8fdb\u884c\u904d\u5386\u6240\u6709\u8fb9，\u5bf9\u4e8e\u8fb9\u7684\u4e24\u4e2a\u70b9，\u6211\u4eec\u770b\u770b\u4ed6\u4eec\u7684\u6839\u662f\u4e0d\u662f\u4e00\u4e2a，\u4e0d\u662f\u6211\u4eec\u5c31\u9009，\u7136\u540e\u628a\u4ed6\u4eec\u8fde\u63a5\u8d77\u6765(\u8fde\u57ce\u4e00\u4e2a\u6839)，\u7136\u540e\u7d2f\u52a0\u6743\u503c，\u5982\u679c\u9009\u4e86n-1\u4e2a\u8fb9\u6211\u4eec\u5c31\u63d0\u524d\u7ed3\u675f(\u526a\u679d)，\u6700\u540e\u8f93\u51fa\u6743\u503c\u548c\u5c31\u884c\u4e86\u3002<\/p>\n

#<\/span>include<\/span><bits\/stdc++.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

#<\/span>define<\/span> int<\/span> long<\/span> long<\/span><\/span><\/span>
\nconst<\/span> int<\/span> N=<\/span>100005<\/span>;<\/span>
\nint<\/span> n,<\/span>m;<\/span>
\nint<\/span> p[<\/span>N]<\/span>;<\/span>
\nstruct<\/span> node<\/span>{<\/span>
\nint<\/span> u,<\/span>v,<\/span>w;<\/span>
\n}<\/span>;<\/span>
\nvector<<\/span>node><\/span> g;<\/span><\/p>\n

bool<\/span> cmp<\/span>(<\/span>node a,<\/span>node b)<\/span>
\n{<\/span>
\nreturn<\/span> a.<\/span>w<<\/span>b.<\/span>w;<\/span>
\n}<\/span>
\nint<\/span> find<\/span>(<\/span>int<\/span> x)<\/span>{<\/span>
\nif<\/span>(<\/span>p[<\/span>x]<\/span>!=<\/span>x)<\/span> p[<\/span>x]<\/span>=<\/span>find<\/span>(<\/span>p[<\/span>x]<\/span>)<\/span>;<\/span>
\nreturn<\/span> p[<\/span>x]<\/span>;<\/span>
\n}<\/span>
\nsigned<\/span> main<\/span>(<\/span>)<\/span>
\n{<\/span>
\ncin>><\/span>n>><\/span>m;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>0<\/span>;<\/span>i<<\/span>m;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nint<\/span> u,<\/span>v,<\/span>w;<\/span>
\ncin>><\/span>u>><\/span>v>><\/span>w;<\/span>
\ng.<\/span>push_back<\/span>(<\/span>{<\/span>u,<\/span>v,<\/span>w}<\/span>)<\/span>;<\/span>
\n}<\/span>
\nsort<\/span>(<\/span>g.<\/span>begin<\/span>(<\/span>)<\/span>,<\/span>g.<\/span>end<\/span>(<\/span>)<\/span>,<\/span>cmp)<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span> p[<\/span>i]<\/span>=<\/span>i;<\/span>
\nint<\/span> ans=<\/span>0<\/span>;<\/span>
\nint<\/span> cnt=<\/span>0<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>0<\/span>;<\/span>i<<\/span>m;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nint<\/span> u=<\/span>g[<\/span>i]<\/span>.<\/span>u,<\/span>v=<\/span>g[<\/span>i]<\/span>.<\/span>v,<\/span>w=<\/span>g[<\/span>i]<\/span>.<\/span>w;<\/span>
\nu=<\/span>find<\/span>(<\/span>u)<\/span>,<\/span>v=<\/span>find<\/span>(<\/span>v)<\/span>;<\/span>
\nif<\/span>(<\/span>u!=<\/span>v)<\/span>{<\/span>
\np[<\/span>u]<\/span>=<\/span>v;<\/span>
\nans+=<\/span>w;<\/span>
\ncnt++<\/span>;<\/span>
\nif<\/span>(<\/span>cnt==<\/span>n–<\/span>1<\/span>)<\/span> break<\/span>;<\/span>
\n}<\/span>
\n}<\/span>
\ncout<<<\/span>ans<<<\/span>endl;<\/span>
\n}<\/span><\/p>\n

\n

\u4e8c\u5206\u56fe<\/h4>\n<\/p>\n

\u67d3\u8272\u6cd5<\/h6>\n

\u4e00\u4e2a\u5341\u5206\u7ecf\u5178\u7684\u7b97\u6cd5，\u5176\u800c\u4e8c\u5206\u56fe\u53ef\u5c06\u9876\u70b9\u96c6\u5408\u5212\u5206\u4e3a\u4e24\u4e2a\u72ec\u7acb\u96c6，\u4e14\u6240\u6709\u8fb9\u5747\u8fde\u63a5\u4e0d\u540c\u96c6\u5408\u7684\u56fe\u3002<\/p>\n

\u90a3\u4e48\u5bf9\u4e8e\u4e0d\u662f\u4e8c\u5206\u56fe\u7684，\u5373\u4e0d\u80fd\u6784\u6210，\u90a3\u4e48\u5c31\u662f\u4f1a\u6210\u4e3a\u5947\u73af，\u7531\u4e8e\u6211\u4eec\u67d3\u8272\u6cd5\u7684\u89c4\u5219\u662f\u76f8\u90bb\u7684\u989c\u8272\u4e0d\u540c，\u800c\u5982\u679c\u6709\u4e00\u4e2a\u5947\u73af\u90a3\u4e48\u5fc5\u5b9a\u4f1a\u8d77\u51b2\u7a81<\/p>\n

\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u5bf9\u4e8e\u8fd9\u4e2a\u56fe\u5f62\u6765\u8bb2，\u6211\u4eec\u76841\u70b9\u53ef\u4ee5\u7528\u4e8c\u5206\u56fe\u7684\u67d3\u8272\u6cd5\u8fdb\u884c\u67d3\u8272，\u4f46\u662f\u6700\u7ec8\u4f1a\u628a1\u67d3\u62101\u6216\u80052，\u8fd9\u6837\u5c31\u8d77\u51b2\u7a81\u4e86，\u6240\u4ee5\u5b83\u5c31\u591f\u4e0d\u6210\u4e8c\u5206\u56fe，\u90a3\u4e48\u5bf9\u4e8e\u67d3\u8272\u5224\u522b\u6211\u4eec\u5c31\u4e5f\u77e5\u9053\u4e86\u3002<\/p>\n

\u3010\u6a21\u677f\u3011\u4e8c\u5206\u56fe\u7ed3\u6784\u2160-A \u2016 \u67d3\u8272\u5224\u5b9a：DFS_\u725b\u5ba2\u9898\u9738_\u725b\u5ba2\u7f51<\/p>\n

\u8fd9\u91cc\u6709\u4e00\u9053\u5f88\u7ecf\u5178\u7684\u7528\u67d3\u8272\u6cd5\u5224\u65ad\u4e8c\u5206\u56fe\u6a21\u578b，\u90a3\u4e48\u5c31\u6839\u636e\u4e4b\u524d\u6240\u8bf4\u67d3\u8272\u65b9\u6cd5，\u5224\u65ad\u662f\u4e0d\u662f\u4e8c\u5206\u56fe\u3002<\/p>\n

\u9996\u5148\u5c31\u662f\u5efa\u56fe，\u7136\u540e\u5b9a\u4e49\u4e00\u4e2acolor\u6570\u7ec4\u6765\u5b58\u6bcf\u4e00\u4e2a\u70b9\u7684\u989c\u8272，\u7136\u540e\u6211\u4eec\u904d\u5386n\u4e2a\u70b9，\u6765\u5224\u65ad\u5b83\u4eec\u7684\u6bcf\u4e2a\u989c\u8272\u662f\u4e0d\u662f\u7a7a\u7684，\u8981\u662f\u7a7a\u7684\u6211\u4eec\u5c31\u5224\u65ad\u5b83\u7684\u5206\u652f\u6709\u6ca1\u6709\u5947\u73af，\u6765\u4e00\u4e2afind\u7684bool\u51fd\u6570，\u90a3\u4e48\u8fd9\u4e48find\u51fd\u6570\u600e\u4e48\u5224\u65ad\u5462？\u9996\u5148\u989c\u8272\u6211\u4eec\u5148\u7ed9\u5b83\u67d3\u4e0a，\u7136\u540e\u904d\u5386\u5b83\u7684\u6240\u6709\u70b9，\u5982\u679c\u5b83\u7684\u70b9\u88ab\u67d3\u4e0a\u989c\u8272\u5e76\u4e14\u548c\u5b83\u989c\u8272\u4e00\u6837，\u90a3\u4e48\u80af\u5b9a\u662f\u5947\u73af，\u76f4\u63a5\u9000\u51fafalse，\u8981\u662f\u6ca1\u67d3\u8272，\u5728\u5224\u65ad\u5b83\u7684\u5206\u652f\u662f\u4e0d\u662f\u5947\u73af，\u662f\u5c31\u76f4\u63a5\u9000\u51fafalse，\u6700\u540e\u5224\u65ad\u73a9\u6240\u4ee5，\u5c31\u9000\u51fa\u4e3atrue\u3002<\/p>\n

\u8fd9\u4e2a\u8fc7\u7a0b\u7684\u601d\u8def\u5c31\u662f\u9012\u5f52，\u7136\u540e\u4e00\u5c42\u4e00\u5c42\u8fdb，\u4e00\u5c42\u4e00\u5c42\u51fa，\u4e00\u5c42\u4e00\u5c42\u5224\u65ad\u6765\u5b9e\u73b0\u3002<\/p>\n

#<\/span>include<\/span><bits\/stdc++.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

const<\/span> int<\/span> N=<\/span>300005<\/span>;<\/span>
\nvector<<\/span>int<\/span>><\/span> g[<\/span>N]<\/span>;<\/span>
\nint<\/span> color[<\/span>N]<\/span>;<\/span>
\nint<\/span> n,<\/span>m;<\/span><\/p>\n

bool<\/span> find<\/span>(<\/span>int<\/span> x,<\/span>int<\/span> cnt)<\/span>
\n{<\/span>
\ncolor[<\/span>x]<\/span>=<\/span>cnt;<\/span>
\nfor<\/span>(<\/span>int<\/span> v:<\/span>g[<\/span>x]<\/span>)<\/span>{<\/span>
\nif<\/span>(<\/span>color[<\/span>v]<\/span>==<\/span>0<\/span>)<\/span>{<\/span>
\nif<\/span>(<\/span>!<\/span>find<\/span>(<\/span>v,<\/span>3<\/span>–<\/span>cnt)<\/span>)<\/span> return<\/span> false<\/span>;<\/span>
\n}<\/span>else<\/span> if<\/span>(<\/span>color[<\/span>v]<\/span>==<\/span>cnt)<\/span> return<\/span> false<\/span>;<\/span>
\n}<\/span>
\nreturn<\/span> true<\/span>;<\/span>
\n}<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span>
\n{<\/span>
\ncin>><\/span>n>><\/span>m;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>m;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nint<\/span> u,<\/span>v;<\/span>
\ncin>><\/span>u>><\/span>v;<\/span>
\ng[<\/span>u]<\/span>.<\/span>push_back<\/span>(<\/span>v)<\/span>;<\/span>
\ng[<\/span>v]<\/span>.<\/span>push_back<\/span>(<\/span>u)<\/span>;<\/span>
\n}<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nif<\/span>(<\/span>color[<\/span>i]<\/span>==<\/span>0<\/span>)<\/span>{<\/span>
\nif<\/span>(<\/span>!<\/span>find<\/span>(<\/span>i,<\/span>1<\/span>)<\/span>)<\/span>{<\/span>
\ncout<<<\/span>"NO"<\/span><<<\/span>endl;<\/span>
\nreturn<\/span> 0<\/span>;<\/span>
\n}<\/span>
\n}<\/span>
\n}<\/span>
\ncout<<<\/span>"YES"<\/span><<<\/span>endl;<\/span>
\nreturn<\/span> 0<\/span>;<\/span>
\n}<\/span><\/p>\n

\n
\u5308\u7259\u5229\u7b97\u6cd5<\/h6>\n

\u8fd9\u4e2a\u7b97\u6cd5\u5c31\u662f\u5728\u6211\u4eec\u540c\u4e2a\u67d3\u8272\u6cd5\u8fdb\u884c\u5206\u7ec4\u4e4b\u540e，\u6211\u4eec\u6765\u8fdb\u884c\u5339\u914d\u95ee\u9898\u7684\u8fc7\u7a0b\u3002<\/p>\n

P3386 \u3010\u6a21\u677f\u3011\u4e8c\u5206\u56fe\u6700\u5927\u5339\u914d – \u6d1b\u8c37<\/p>\n

\u8fd9\u91cc\u7684\u4e00\u9053\u6a21\u677f\u9898\u662f\u5728\u4e8c\u5206\u56fe\u6784\u5efa\u5b8c\u6210\u540e\u7684\u5339\u914d\u95ee\u9898\u3002\u6211\u4eec\u601d\u8def\u5c31\u662f\u5efa\u56fe，\u7136\u540e\u904d\u5386\u6bcf\u4e00\u4e2a\u70b9\u770b\u770b\u6709\u6ca1\u6709\u9002\u5408\u7684\u5339\u914d，\u6709\u5c31\u7d2f\u52a0，\u6700\u540e\u8f93\u51fa\u6570\u91cf，\u90a3\u4e48\u8fd9\u4e2a\u5224\u65ad\u9002\u5408\u7684\u8fc7\u7a0b\u600e\u4e48\u529e\u5462？\u6211\u4eec\u518d\u5b9a\u4e49\u4e00\u4e2a\u5224\u65ad\u51fd\u6570，\u5bf9\u4e8e\u8fd9\u4e2a\u51fd\u6570\u800c\u8a00，\u6211\u4eec\u904d\u5386\u8fd9\u4e2a\u70b9\u7684\u6240\u6709\u8fde\u63a5\u70b9，\u5982\u679c\u5b83\u7684\u8fde\u63a5\u70b9\u88ab\u5224\u65ad\u8fc7\u76f4\u63a5\u7ed3\u675f\u8fd9\u6b21\u5faa\u73af，\u7136\u540e\u5c31\u662f\u5224\u65ad\u8fd9\u4e2a\u70b9\u662f\u5426\u5df2\u7ecf\u88ab\u8fde\u63a5，\u6ca1\u6709\u88ab\u8fde\u63a5\u6216\u8005\u5df2\u7ecf\u88ab\u94fe\u63a5，\u4f46\u662f\u6211\u4eec\u80fd\u901a\u8fc7find\u51fd\u6570\u518d\u627e\u5230\u4e00\u4e2a\u80fd\u548c\u5b83\u5339\u914d\u7684，\u90a3\u4e48\u8fd9\u4e2a\u70b9\u5c31\u53ef\u4ee5\u88ab\u6211\u4eec\u5224\u65ad\u8fdb\u6765\u7684\u8fd9\u4e2a\u70b9\u6240\u8fde\u63a5\u3002<\/p>\n

\u6574\u4e2a\u8fc7\u7a0b\u8fd8\u662f\u8fd0\u7528\u4e86\u9012\u5f52\u601d\u60f3，\u5c31\u662f\u8bf4\u5982\u679c\u4f60\u7684"\u5fc3\u4e0a\u4eba"\u5df2\u7ecf\u6885\u82b1\u6709\u4e3b\u4e86，\u4f46\u662f\u5979\u7684\u53e6\u4e00\u534a\u8fd8\u6709"\u6697\u604b\u8005"，\u90a3\u4e48\u6211\u4eec\u5c31\u770b\u770b\u4ed6\u7684\u201d\u6697\u604b\u8005\u201c\u662f\u4e0d\u662f\u65e0\u4e3b\u4e4b\u4eba，\u5982\u679c\u662f\u5c31\u76f4\u63a5\u5339\u914d，\u5982\u679c\u4e0d\u662f\u90a3\u4e48\u63a5\u7740\u9012\u5f52\u5224\u65ad\u5979\u7684"\u5fc3\u4e0a\u4eba"\u662f\u4e0d\u662f\u8fd8\u6709"\u6697\u604b\u7740"，\u8fd9\u6837\u6700\u7ec8\u6211\u4eec\u5c31\u53ef\u4ee5\u8fbe\u5230\u5c3d\u53ef\u80fd\u591a\u7684\u6240\u6709\u4eba\u90fd\u6709\u5339\u914d\u5bf9\u3002<\/p>\n

#<\/span>include<\/span><bits\/stdc++.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

const<\/span> int<\/span> N=<\/span>510<\/span>;<\/span>
\nvector<<\/span>int<\/span>><\/span> g[<\/span>N]<\/span>;<\/span>
\nint<\/span> match[<\/span>N]<\/span>;<\/span>
\nbool<\/span> st[<\/span>N]<\/span>;<\/span>
\nint<\/span> n,<\/span>m,<\/span>e;<\/span><\/p>\n

bool<\/span> find<\/span>(<\/span>int<\/span> x)<\/span>
\n{<\/span>
\nfor<\/span>(<\/span>int<\/span> v:<\/span>g[<\/span>x]<\/span>)<\/span>
\n{<\/span>
\nif<\/span>(<\/span>st[<\/span>v]<\/span>)<\/span> continue<\/span>;<\/span>
\nst[<\/span>v]<\/span>=<\/span>true<\/span>;<\/span>
\nif<\/span>(<\/span>match[<\/span>v]<\/span>==<\/span>0<\/span>||<\/span>find<\/span>(<\/span>match[<\/span>v]<\/span>)<\/span>)<\/span>{<\/span>
\nmatch[<\/span>v]<\/span>=<\/span>x;<\/span>
\nreturn<\/span> true<\/span>;<\/span>
\n}<\/span>
\n}<\/span>
\nreturn<\/span> false<\/span>;<\/span>
\n}<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span>
\n{<\/span>
\ncin>><\/span>n>><\/span>m>><\/span>e;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>e;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nint<\/span> u,<\/span>v;<\/span>
\ncin>><\/span>u>><\/span>v;<\/span>
\ng[<\/span>u]<\/span>.<\/span>push_back<\/span>(<\/span>v)<\/span>;<\/span>
\n}<\/span>
\nint<\/span> res=<\/span>0<\/span>;<\/span>
\nfor<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span>
\n{<\/span>
\nmemset<\/span>(<\/span>st,<\/span>false<\/span>,<\/span>sizeof<\/span> st)<\/span>;<\/span>
\nif<\/span>(<\/span>find<\/span>(<\/span>i)<\/span>)<\/span> res++<\/span>;<\/span>
\n}<\/span>
\ncout<<<\/span>res<<<\/span>endl;<\/span>
\nreturn<\/span> 0<\/span>;<\/span>
\n}<\/span><\/p>\n

\n

\u5b66\u5b8c\u8fd9\u4e48\u591a\u7684\u77e5\u8bc6，\u53ef\u4ee5\u8bd5\u7740\u505a\u4e00\u4e9b\u56fe\u8bba\u76f8\u5173\u9898\u4e86，\u73b0\u5728\u6211\u4eec\u770b\u5230\u4e4b\u540e\u4e0d\u81f3\u4e8e\u4e00\u70b9\u601d\u8def\u90fd\u6ca1\u6709\u4e86\u3002\u8fd9\u4e9b\u5185\u5bb9\u867d\u7136\u4e0d\u591a，\u4f46\u662f\u66f4\u591a\u7684\u662f\u7406\u89e3\u672c\u8d28，\u5982\u679c\u771f\u7684\u7406\u89e3\u4e86，\u90a3\u4e48\u5176\u5b9e\u4e5f\u53ef\u4ee5\u4e00\u53e5\u4e0d\u8bf4\u81ea\u5728\u7406\u89e3\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u56fe\u8bba\u2013\u6700\u5c0f\u751f\u6210\u6811
\n\u672c\u5c0f\u7ae0\u8282\u7684\u5185\u5bb9\u9887\u591a，\u4f46\u662f\u8463\u4e8b\u5f88\u7ecf\u5178\u7684\u5185\u5bb9，\u7531\u4e8e\u4e3b\u5305\u4e5f\u662f\u4e00\u540d\u5b9e\u7528\u4e3b\u4e49，\u6240\u4ee5\u4e0d\u9002\u7528\u7684\u77e5\u8bc6\u6211\u4eec\u4e5f\u76f4\u63a5\u4e0d\u8bb2\u4e86！
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