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  • URAL 1277 Cops and Thieves

    URAL_1277

        拆点之后做最大流即可,但要注意S和F在同一个位置的情况。

    #include<stdio.h>
    #include<string.h>
    #include<algorithm>
    #define MAXD 210
    #define MAXM 40410
    #define INF 0x3f3f3f3f
    int a[MAXD], N, M, S, F, K, first[MAXD], e, next[MAXM], v[MAXM], flow[MAXM];
    int d[MAXD], q[MAXD], work[MAXD];
    void add(int x, int y, int z)
    {
        v[e] = y, flow[e] = z;
        next[e] = first[x], first[x] = e ++;
    }
    void init()
    {
        int i, x, y;
        scanf("%d%d%d%d", &N, &M, &S, &F);
        for(i = 1; i <= N; i ++)
            scanf("%d", &a[i]);
        memset(first + 1, -1, sizeof(first[0]) * N << 1);
        e = 0;
        for(i = 0; i < M; i ++)
        {
            scanf("%d%d", &x, &y);
            add(x + N, y, INF), add(y, x + N, 0);
            add(y + N, x, INF), add(x, y + N, 0);
        }
        for(i = 1; i <= N; i ++)
            add(i, i + N, a[i]), add(i + N, i, 0);
    }
    int bfs()
    {
        int i, j, rear = 0;
        memset(d + 1, -1, sizeof(d[0]) * N << 1);
        d[S + N] = 0, q[rear ++] = S + N;
        for(i = 0; i < rear; i ++)
            for(j = first[q[i]]; j != -1; j = next[j])
                if(flow[j] && d[v[j]] == -1)
                {
                    d[v[j]] = d[q[i]] + 1, q[rear ++] = v[j];
                    if(v[j] == F)
                        return 1;
                }
        //printf(">>> %d %d %d %d\n", S, first[S], flow[7], d[7]);
        return 0;
    }
    int dfs(int cur, int a)
    {
        if(cur == F)
            return a;
        for(int &i = work[cur]; i != -1; i = next[i])
            if(flow[i] && d[v[i]] == d[cur] + 1)
                if(int t = dfs(v[i], std::min(a, flow[i])))
                {
                    flow[i] -= t, flow[i ^ 1] += t;
                    return t;
                }
        return 0;
    }
    int dinic()
    {
        int ans = 0, t;
        while(bfs())
        {
            memcpy(work + 1, first + 1, sizeof(first[0]) * N << 1);
            while(t = dfs(S + N, INF))
                ans += t;
        }
        return ans;
    }
    void solve()
    {
        printf("%s\n", dinic() <= K ? "YES" : "NO");
    }
    int main()
    {
        while(scanf("%d", &K) == 1)
        {
            init();
            if(S == F)
                printf("NO\n");
            else
                solve();
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/staginner/p/2635383.html
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