hdu6214 求最小割边数

hdu6214  

题意:求所有最小割中的最小边数。

tags: 真是骚操作。。

对所有边都乘上一个很大的数 MX,再加上 1,然后只要求出最小割对 MX 取一下模即是答案。

#include<bits/stdc++.h>
using namespace std;
#pragma comment(linker, "/STACK:102400000,102400000")
#define rep(i,a,b) for (int i=a; i<=b; ++i)
#define per(i,b,a) for (int i=b; i>=a; --i)
#define mes(a,b)  memset(a,b,sizeof(a))
#define INF 0x3f3f3f3f
#define MP make_pair
#define PB push_back
#define fi  first
#define se  second
typedef long long ll;
const int N = 1005;

int n;
int tot, dis[N], head[N], cur[N], remain[N<<1];
struct Edge{ int to, next; } e[N<<1];
void Addedge(int u,int v,int w) {
    e[tot]={v,head[u]}; remain[tot]=w;  head[u]=tot++;
    e[tot]={u,head[v]}; remain[tot]=0;  head[v]=tot++;
}
queue<int > q;
bool bfs(int st, int ed)
{
    for(int i=0; i<N; ++i) cur[i]=head[i];
    mes(dis, -1);
    while(!q.empty()) q.pop();
    q.push(st);  dis[st]=0;
    while(!q.empty())
    {
        int u=q.front();  q.pop();
        for(int i=head[u]; i!=-1; i=e[i].next) {
            int to=e[i].to;
            if(dis[to]==-1 && remain[i]) {
                q.push(to);
                dis[to]=dis[u]+1;
                if(to==ed) return true;
            }
        }
    }
    return false;
}
int dfs(int now, int ed, int flow)
{
    if(now==ed || flow==0) return flow;
    int s, ans=0;
    for(int &i=cur[now]; i!=-1; i=e[i].next) {
        int to=e[i].to;
        if(dis[to]==dis[now]+1 && (s=dfs(to,ed,min(flow,remain[i]))) ) {
            ans+=s, flow-=s;
            remain[i]-=s, remain[i^1]+=s;
            if(flow==0) break;
        }
    }
    return ans;
}
int dinic(int st, int ed)
{
    int s, ans=0;
    while(bfs(st,ed))
        while(s=dfs(st,ed,INF))
            ans+=s;
    return ans;
}
void Init()
{
    mes(head, -1);  tot=0;
}

int m, st, ed, u, v, w;
int main()
{
    int T;  scanf("%d", &T);
    while(T--)
    {
        Init();
        scanf("%d%d%d%d", &n, &m, &st, &ed);
        rep(i,1,m)
        {
            scanf("%d%d%d", &u, &v, &w);
            Addedge(u, v, w*N+1);
        }

        printf("%d
", (dinic(st, ed)%N));
    }

    return 0;
}
原文地址:https://www.cnblogs.com/sbfhy/p/7543893.html