[HEOI2016]游戏

二分图匹配（网络流实现）

# include <bits/stdc++.h>
# define IL inline
# define RG register
# define Fill(a, b) memset(a, b, sizeof(a))
# define Copy(a, b) memcpy(a, b, sizeof(a))
using namespace std;
typedef long long ll;
const int _(10010), __(1e6 + 10), INF(1e9);

IL ll Read(){
    RG char c = getchar(); RG ll x = 0, z = 1;
    for(; c < '0' || c > '9'; c = getchar()) z = c == '-' ? -1 : 1;
    for(; c >= '0' && c <= '9'; c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48);
    return x * z;
}

int n, m, w[__], fst[_], nxt[__], to[__], cnt, num = 1, id1[60][60], id2[60][60];
int S, T, lev[_], cur[_], max_flow;
queue <int> Q;

IL void Add(RG int u, RG int v, RG int f){
    w[cnt] = f; to[cnt] = v; nxt[cnt] = fst[u]; fst[u] = cnt++;
    w[cnt] = 0; to[cnt] = u; nxt[cnt] = fst[v]; fst[v] = cnt++;
}

IL int Dfs(RG int u, RG int maxf){
    if(u == T) return maxf;
    RG int ret = 0;
    for(RG int &e = cur[u]; e != -1; e = nxt[e]){
        if(lev[to[e]] != lev[u] + 1 || !w[e]) continue;
        RG int f = Dfs(to[e], min(w[e], maxf - ret));
        ret += f; w[e ^ 1] += f; w[e] -= f;
        if(ret == maxf) break;
    }
    return ret;
}

IL bool Bfs(){
    Fill(lev, 0); lev[S] = 1; Q.push(S);
    while(!Q.empty()){
        RG int u = Q.front(); Q.pop();
        for(RG int e = fst[u]; e != -1; e = nxt[e]){
            if(lev[to[e]] || !w[e]) continue;
            lev[to[e]] = lev[u] + 1;
            Q.push(to[e]);
        }
    }
    return lev[T];
}

int main(RG int argc, RG char* argv[]){
    n = Read(); m = Read(); Fill(fst, -1); T = 1;
    for(RG int i = 1; i <= n; ++i)
        for(RG int j = 1; j <= m; ++j){
            RG char c; scanf(" %c", &c);
            if(c != '#'){
                if(!id1[i - 1][j]) id1[i][j] = ++num, Add(S, id1[i][j], 1);
                else id1[i][j] = id1[i - 1][j];
                if(!id2[i][j - 1]) id2[i][j] = ++num, Add(id2[i][j], T, 1);
                else id2[i][j] = id2[i][j - 1];
                if(c != 'x') Add(id1[i][j], id2[i][j], 1);
            }
        }
    while(Bfs()) Copy(cur, fst), max_flow += Dfs(S, INF);
    printf("%d\n", max_flow);
    return 0;
}