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HDU-4738 Caocao's Bridges

Caocao's Bridges

tarjan 割边

直接跑权值最小割点

坑:

  • 如果图本身不连通,则输出 \(0\)

  • 如果图连通,且最小割边为 \(0\),应该输出 \(1\)(至少有一个人去炸)

#include <iostream>
#include <cstdio>
#include <algorithm>
using namespace std;
const int maxn = 2e6 + 10;
const int inf = 1e9 + 10;
int head[maxn], to[maxn], nexx[maxn], val[maxn], vp = 1;
int low[maxn], dfn[maxn], tp = 0, ans = inf;

inline void add(int u, int v, int t)
{
    vp++;
    nexx[vp] = head[u];
    head[u] = vp;
    val[vp] = t;
    to[vp] = v;
}

void tarjan(int now, int pre)
{
    low[now] = dfn[now] = ++tp;
    for(int i=head[now]; i; i=nexx[i])
    {
        int nex = to[i];
        if(dfn[nex] == 0)
        {
            tarjan(nex, i);
            low[now] = min(low[nex], low[now]);
            if(low[nex] > dfn[now])
                ans = min(ans, val[i]);
        }
        else if(i != (pre ^ 1))
            low[now] = min(dfn[nex], low[now]);
    }
}

void init(int n)
{
    for(int i=0; i<=n; i++) dfn[i] = low[i] = head[i] = 0;
    ans = inf;
    tp = 0;
    vp = 1;
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n, m;
    while(cin >> n >> m && (n | m))
    {
        init(n);
        while(m--)
        {
            int a, b, c;
            cin >> a >> b >> c;
            add(a, b, c);
            add(b, a, c);
        }
        int cnt = 0;
        for(int i=1; i<=n; i++)
        {
            if(dfn[i] == 0)
            {
                tarjan(i, -1);
                cnt++;
            }
        }
        ans = max(1, ans);
        if(cnt > 1) ans = 0;
        if(ans == inf) ans = -1;
        cout << ans << "\n";
    }
    return 0;
}
posted @ 2022-09-02 09:51  dgsvygd  阅读(12)  评论(0编辑  收藏  举报