HDU4280 Island Transport 最大流SAP+bfs+栈优化

这道题建图并不难,就是个很明显的最大流。

一开始用了SAP(邻接表)算法,果断TLE。。然后就换了一个更高效的模板:SAP+bfs+栈优化,就过了。记录下来又算是一个最大流的模板吧2333

附上AC代码:

#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<cmath>
#include<iostream>
#include<algorithm>
using namespace std;
const int INF=0x3f3f3f3f;

const int MAX=100005;
struct Edge
{
    int to, next, cap, flow;
}edge[MAX*4];//注意开4倍!!!
int tot,head[MAX];
int gap[MAX],dep[MAX],cur[MAX];

void add(int u,int v,int w)
{
    edge[tot].to=v;edge[tot].cap=w;edge[tot].flow=0;
    edge[tot].next=head[u]; head[u]=tot++;
    edge[tot].to=u;edge[tot].cap=0;edge[tot].flow=0;
    edge[tot].next=head[v];head[v]=tot++;
}
int q[MAX];
void bfs(int st,int en)
{
    memset(gap,0,sizeof(gap));
    memset(dep,-1,sizeof(dep));
    gap[0]=1;
    int fro=0,rear=0;
    dep[en]=0;
    q[rear++]=en;
    while(fro!=rear)
    {
        int u=q[fro++];
        for(int i=head[u];i!=-1;i=edge[i].next)
        {
            int v=edge[i].to;
            if(dep[v]!=-1)
                continue;
            q[rear++]=v;
            dep[v]=dep[u]+1;
            gap[dep[v]]++;
        }
    }
}
int s[MAX];
int sap(int st,int en,int n)
{
    bfs(st,en);
    memcpy(cur,head,sizeof(head));
    int u=st;
    int top=0;
    int maxflow=0;
    while(dep[st]<n)
    {
        if(u==en)
        {
            int mindis=INF;
            int inser;
            for(int i=0;i<top;i++)
                if(mindis>edge[s[i]].cap-edge[s[i]].flow)
                {
                    mindis=edge[s[i]].cap-edge[s[i]].flow;
                    inser=i;
                }
            for(int i=0;i<top;i++)
            {
                edge[s[i]].flow+=mindis;
                edge[s[i]^1].flow-=mindis;
            }
            maxflow+=mindis;
            top=inser;
            u=edge[s[top]^1].to;
            continue;
        }
        bool flag=false;
        int v;
        for(int i=cur[u];i!=-1;i=edge[i].next)
        {
            v=edge[i].to;
            if(edge[i].cap-edge[i].flow&&dep[v]+1==dep[u])
            {
                flag=true;
                cur[u]=i;
                break;
            }
        }
        if(flag)
        {
            s[top++]=cur[u];
            u=v;
            continue;
        }
        else
        {
            int mindis=n;
            for(int i=head[u];i!=-1;i=edge[i].next)
                if(edge[i].cap-edge[i].flow&&dep[edge[i].to]<mindis)
                {
                    mindis=dep[edge[i].to];
                    cur[u]=i;
                }
            gap[dep[u]]--;
            if(gap[dep[u]]==0)
                break;
            dep[u]=mindis+1;
            gap[dep[u]]++;
            if(u!=st)
                u=edge[s[--top]^1].to;
        }
    }
    return maxflow;
}

int n,m;
int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        int x,y;
        int mi=INF,ma=-INF;
        int s=-1,t=-1;
        for(int i=0;i<n;i++)
        {
            scanf("%d%d",&x,&y);
            if(mi>x)
                mi=x,s=i+1;
            if(ma<x)
                ma=x,t=i+1;
        }
        tot=0;
        memset(head,-1,sizeof(head));
        //memset(edge,0,sizeof(edge));
        int u,v,w;
        for(int i=1;i<=m;i++)
        {
            scanf("%d%d%d",&u,&v,&w);
            add(u,v,w);
            add(v,u,w);//注意无向图!!
        }
        printf("%d\n",sap(s,t,n));
    }
    return 0;
}

 

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