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  • E

    思路:每一个点分成四个方向,然后由于一个点可以转一个方向,设置一个中转站,入点和出点之间设置一个容量为1的边,要转弯就先进入这个中转站,再转入这个点的其他方向。

    #include <bits/stdc++.h>
    
    using namespace std;
    
    const int maxn = 2e5;
    const int maxm = 2 * maxn;
    const int inf = 0x3f3f3f3f;
    
    int n, m, S, T, in, ou;
    char mp[110][110];
    int h[maxn], tot, e[maxm], f[maxm], ne[maxm];
    int q[maxn], d[maxn], cur[maxn];
    int get(int x, int y)
    {
        return (x - 1) * m + y;
    }
    void add(int u, int v)
    {
        e[tot] = v; f[tot] = 1; ne[tot] = h[u]; h[u] = tot ++ ;
        e[tot] = u; f[tot] = 0; ne[tot] = h[v]; h[v] = tot ++ ;
    }
    bool bfs()
    {
        int hh = 0, tt = -1;
        memset(d, -1, sizeof d);
        cur[S] = h[S];
        d[S] = 0;
        q[++tt] = S;
        while (hh <= tt)
        {
            int u = q[hh++];
            for (int i = h[u]; ~i; i = ne[i])
            {
                int v = e[i];
                if (f[i] && d[v] == -1)
                {
                    d[v] = d[u] + 1;
                    cur[v] = h[v];
                    if (v == T) return  true;
                    q[++tt] = v;
                }
            }
        }
        return false;
    }
    int dfs(int u, int limit)
    {
        if (u == T) return limit;
        int flow = 0;
        for (int i = cur[u]; ~i && flow < limit; i = ne[i])
        {
            int v = e[i];
            if (d[v] == d[u] + 1 && f[i])
            {
                int t = dfs(v, min(f[i], limit - flow));
                if (!t) d[v] = -1;
                flow += t;
                f[i] -= t;
                f[i ^ 1] += t;
            }
        }
        return flow;
    }
    int dinic()
    {
        int r = 0, flow;
        while (bfs()) {
            while (flow = dfs(S, inf))
                r += flow;
        }
        return r;
    }
    
    int main ()
    {
        int cas;
        scanf("%d", &cas);
        while (cas--)
        {
            scanf("%d %d %d %d", &n, &m, &in, &ou);
            // printf("in=%d
    ", in);
            for (int i = 1; i <= n; i ++ )
                scanf("%s", mp[i]+1);
            S = maxn - 2;
            T = maxn - 1;
            memset(h, -1, sizeof h);
            tot = 0;
            for (int i = 1; i <= n; i ++ )
            {
                for (int j = 1; j <= m; j ++ )
                {
                    if (mp[i][j] == '1') continue;
                    if (mp[i+1][j] == '0') add(0 * n * m + get(i, j), 0 * n * m + get(i+1, j));
                    if (mp[i][j-1] == '0') add(1 * n * m + get(i, j), 1 * n * m + get(i, j-1));
                    if (mp[i-1][j] == '0') add(2 * n * m + get(i, j), 2 * n * m + get(i-1, j));
                    if (mp[i][j+1] == '0') add(3 * n * m + get(i, j), 3 * n * m + get(i, j+1));
    
                    add(0 * n * m + get(i, j), 4 * n * m + get(i, j));
                    add(1 * n * m + get(i, j), 4 * n * m + get(i, j));
                    add(2 * n * m + get(i, j), 4 * n * m + get(i, j));
                    add(3 * n * m + get(i, j), 4 * n * m + get(i, j));
    
                    add(4 * n * m + get(i, j), 5 * n * m + get(i, j));
    
                    add(5 * n * m + get(i, j), 0 * n * m + get(i, j));
                    add(5 * n * m + get(i, j), 1 * n * m + get(i, j));
                    add(5 * n * m + get(i, j), 2 * n * m + get(i, j));
                    add(5 * n * m + get(i, j), 3 * n * m + get(i, j));
                }
            }
            for (int i = 0; i < in; i ++ )
            {
                int id;
                scanf("%d", &id);
                add(S, get(1, id));
            }
            for (int i = 0; i < ou; i ++ )
            {
                int id;
                scanf("%d", &id);
                add(get(n, id), T);
            }
            int mxflow = dinic();
            // printf("mxflow = %d in=%d
    ", mxflow, in);
            if (mxflow >= in) puts("Yes");
            else puts("No");
        }
        return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/Urchin-C/p/13770183.html
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