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  • LOJ 101 最大流(ISAP 模板)

    开long long的最大流

    #include<bits/stdc++.h>
    using namespace std;
    const long long MAXN = 4000010;//点数的最大值
    const long long MAXM = 4000010;//边数的最大值
    const long long INF = 1e15 + 7;
    struct Edge
    {
        long long to,next,cap,flow;
    } edge[MAXM]; //注意是MAXM
    long long tol;
    long long head[MAXN];
    long long gap[MAXN],dep[MAXN],cur[MAXN];
    long long n, m, s, t;
    void init()
    {
        tol = 0;
        memset(head,-1,sizeof(head));
    }
    void addedge(long long u,long long v,long long w,long long rw = 0)
    {
        edge[tol].to = v;
        edge[tol].cap = w;
        edge[tol].flow = 0;
        edge[tol].next = head[u];
        head[u] = tol++;
        edge[tol].to = u;
        edge[tol].cap = rw;
        edge[tol].flow = 0;
        edge[tol].next = head[v];
        head[v] = tol++;
    }
    long long Q[MAXN];
    void BFS(long long start,long long end)
    {
        memset(dep,-1,sizeof(dep));
        memset(gap,0,sizeof(gap));
        gap[0] = 1;
        long long front = 0, rear = 0;
        dep[end] = 0;
        Q[rear++] = end;
        while(front != rear)
        {
            long long u = Q[front++];
            for(long long i = head[u]; i != -1; i = edge[i].next)
            {
                long long v = edge[i].to;
                if(dep[v] != -1)
                    continue;
                Q[rear++] = v;
                dep[v] = dep[u] + 1;
                gap[dep[v]]++;
            }
        }
    }
    long long S[MAXN];
    long long sap(long long start,long long end,long long N)
    {
        BFS(start,end);
        memcpy(cur,head,sizeof(head));
        long long top = 0;
        long long u = start;
        long long ans = 0;
        while(dep[start] < N)
        {
            if(u == end)
            {
                long long Min = INF;
                long long inser;
    
                for(long long i = 0; i < top; i++)
                    if(Min > edge[S[i]].cap - edge[S[i]].flow)
                    {
                        Min = edge[S[i]].cap - edge[S[i]].flow;
                        inser = i;
                    }
                for(long long i = 0; i < top; i++)
                {
                    edge[S[i]].flow += Min;
                    edge[S[i]^1].flow -= Min;
                }
                ans += Min;
                top = inser;
                u = edge[S[top]^1].to;
                continue;
            }
            bool flag = false;
            long long v;
            for(long long 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;
            }
            long long Min = N;
            for(long long i = head[u]; i != -1; i = edge[i].next)
                if(edge[i].cap - edge[i].flow && dep[edge[i].to] < Min)
                {
                    Min = dep[edge[i].to];
                    cur[u] = i;
                }
            gap[dep[u]]--;
            if(!gap[dep[u]])
                return ans;
            dep[u] = Min + 1;
            gap[dep[u]]++;
            if(u != start)
                u = edge[S[--top]^1].to;
        }
        return ans;
    }
    int main(){
        init();
        scanf("%lld %lld %lld %lld", &n , &m, &s, &t);
        for(long long i = 0; i < m; i++){
            long long u, v, w;
            scanf("%lld %lld %lld", &u, &v, &w);
            addedge(u,v,w);
        }
        printf("%lld
    ", sap(s,t,n));
    }
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  • 原文地址:https://www.cnblogs.com/Jadon97/p/9696474.html
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