• 分配问题


    费用流

    # include <bits/stdc++.h>
    # define RG register
    # define IL inline
    # 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 _(1010), __(1e6 + 10), INF(2e9);
    
    IL ll Read(){
        char c = '%'; ll x = 0, z = 1;
        for(; c > '9' || c < '0'; c = getchar()) if(c == '-') z = -1;
        for(; c >= '0' && c <= '9'; c = getchar()) x = x * 10 + c - '0';
        return x * z;
    }
    
    int n, tmp[__];
    int cnt, fst[_], w[__], to[__], nxt[__], dis[_], vis[_], S, T, cost[__], pe[_], pv[_], Cost;
    queue <int> Q;
    
    IL void Add(RG int u, RG int v, RG int f, RG int co){
        cost[cnt] = co; w[cnt] = f; to[cnt] = v; nxt[cnt] = fst[u]; fst[u] = cnt++;
        cost[cnt] = -co; w[cnt] = 0; to[cnt] = u; nxt[cnt] = fst[v]; fst[v] = cnt++;
    }
    
    IL bool Bfs(){
        Q.push(S); Fill(dis, 127); dis[S] = 0; vis[S] = 1;
        while(!Q.empty()){
            RG int u = Q.front(); Q.pop();
            for(RG int e = fst[u]; e != -1; e = nxt[e]){
                if(!w[e] || dis[to[e]] <= dis[u] + cost[e]) continue;
                dis[to[e]] = dis[u] + cost[e];
                pe[to[e]] = e; pv[to[e]] = u;
                if(!vis[to[e]]) vis[to[e]] = 1, Q.push(to[e]);
            }
            vis[u] = 0;
        }
        if(dis[T] >= dis[T + 1]) return 0;
        RG int ret = INF;
        for(RG int u = T; u != S; u = pv[u]) ret = min(ret, w[pe[u]]);
        for(RG int u = T; u != S; u = pv[u]) w[pe[u]] -= ret, w[pe[u] ^ 1] += ret;
        Cost += ret * dis[T];
        return 1;
    }
    
    int main(RG int argc, RG char *argv[]){
        Fill(fst, -1); n = Read(); T = n + n + 1;
        for(RG int i = 1; i <= n; ++i) Add(S, i, 1, 0);
        for(RG int i = 1; i <= n; ++i) Add(i + n, T, 1, 0);
        for(RG int i = 1; i <= n; ++i)
            for(RG int j = 1, v; j <= n; ++j)
                v = Read(), Add(i, j + n, INF, v);
        Copy(tmp, w);
        while(Bfs()); printf("%d
    ", Cost);
        Cost = 0; Copy(w, tmp);
        for(RG int i = 0; i < cnt; ++i) cost[i] = -cost[i];
        while(Bfs()); printf("%d
    ", -Cost);
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/cjoieryl/p/8206321.html
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