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  • hdu 4738 Caocao's Bridges(2013杭州网络赛丶神坑)

    就是求最小权值的桥。。不过有好几个坑。。。

    1:原图不连通,ans=0.

    2: m<=n^2 显然有重边,重边必然不是桥,处理重边直接add(u, v, INF).

    3:   最小桥边权为0的时候,ans=1,至少要派一个人运炸弹。。。

    #include<iostream>
    #include<algorithm>
    #include<vector>
    #include<string>
    #include<queue>
    #include<stack>
    #include<cstdio>
    #include<cstring>
    #include<cstdlib>
    #include<cmath>
    #include<fstream>
    #include<sstream>
    #include<map>
    #include<set>
    using namespace std;
    
    const int N = 1111;
    const int INF = 100000000;
    int n, m;
    int pre[N], low[N], dfs_clock;
    int bccno[N], vis[N], wi[N][N], g[N][N];
    struct Edge
    {
        //flag = 1 ->bridge
        int from, to, w, flag;
    };
    vector<int> G[N];
    vector<Edge> edges;
    
    //add bidir edge
    void addedge(int u, int v, int w)
    {
        edges.push_back((Edge){u, v, w, 0});
        edges.push_back((Edge){v, u, w, 0});
        int nima = edges.size();
        G[u].push_back(nima-2);
        G[v].push_back(nima-1);
    }
    
    int dfs(int u, int fa)
    {
        int lowu = pre[u] = ++dfs_clock;
        int sz = G[u].size();
        for(int i=0; i<sz; i++)
        {
            int v = edges[G[u][i]].to;
            if(!pre[v])
            {
                int lowv = dfs(v, u);
                lowu = min(lowu, lowv);
                if(lowv > pre[u]) edges[G[u][i]].flag = 1, edges[G[u][i]^1].flag = 1;
            }
            else if(pre[v] < pre[u] && v != fa) lowu = min(lowu, pre[v]);
        }
        return low[u] = lowu;
    }
    
    void dfs1(int u)
    {
        vis[u] = 1;
        int sz = G[u].size();
        for(int i=0; i<sz; i++)
        {
            Edge e = edges[G[u][i]];
            int v = e.to;
            if(!vis[v]) dfs1(v);
        }
    }
    int u, v, w;
    
    int main()
    {
        while(scanf("%d%d", &n, &m), n+m)
        {
            for(int i=0; i<n+1; i++) G[i].clear();
            edges.clear();
            memset(g, 0, sizeof(g));
            for(int i=0; i<m; i++)
            {
                scanf("%d%d%d", &u, &v, &w); u--; v--;
                g[u][v]++; //BIANSHU
                g[v][u]++;
                wi[u][v] = w;
            }
    
            //CHONG BIAN
            for(int i=0; i<n; i++)
                for(int j=0; j<n; j++)
                {
                    if(g[i][j] == 1) addedge(i, j, wi[i][j]);
                    else if(g[i][j] > 1) addedge(i, j, INF);
                }
    
            //BU LIANTONG
            memset(vis, 0, sizeof(vis));
            dfs1(0);
            bool flag = 0;
            for(int i=0; i<n; i++)
            {
                if(!vis[i])
                {
                    flag = 1;
                    break;
                }
            }
            if(flag)
            {
                puts("0");
                continue;
            }
            //QIAO
            memset(pre, 0, sizeof(pre));
            dfs_clock  = 0;
            for(int i=0; i<n; i++) if(!pre[i]) dfs(i, -1);
            int ans = INF;
            int sz = edges.size();
            for(int i=0; i<sz; i++) if(edges[i].flag == 1) ans = min(ans, edges[i].w);
            if(ans == INF) puts("-1");
            else printf("%d
    ", ans == 0 ? 1 : ans); //0 -> 1
        }
        return 0;
    }


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  • 原文地址:https://www.cnblogs.com/pangblog/p/3325152.html
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