• URAL


    题意:n支队伍打比赛,每2队只进行1场比赛,规定时间内胜得3分,败得0分,若是打到了加时赛,那么胜得2分,败得1分,给出n支队伍最后的总得分,问这个结果是否是可能的,是的话输出“CORRECT”及各场比赛各队伍的比分情况,否则输出"INCORRECT"(2 <= n <= 200)。

    题目链接:http://acm.timus.ru/problem.aspx?space=1&num=1736

    ——>>赛后师弟说这是一道网络流大水题,果如其言~

    设一个超级源点s,一个超级汇点t,各支队伍各为1个结点,各场比赛也各为1个结点,从s到各场比赛各连1条边,容量为3,从各场比赛到这场比赛的2支参赛队伍各连1条边,容量为3,最后从各支队伍向t各连1条边,容量为输入的对应得分。然后,跑一次最大流,若最大流为满流3 * n * (n-1) / 2,则得分是正确的,再根据各场比赛的流量输出相应的数据,否则得分是不正确的。

    #include <cstdio>
    #include <cstring>
    #include <vector>
    #include <queue>
    
    using namespace std;
    
    const int maxv = 200 + 10;
    const int maxn = 40000 + 10;
    const int INF = 0x3f3f3f3f;
    
    int a[maxv], vs[maxv][maxv];
    
    struct Edge{
        int u;
        int v;
        int cap;
        int flow;
    };
    
    struct Dinic{
        int n, m, s, t;
        vector<Edge> edges;
        vector<int> G[maxn];
        bool vis[maxn];
        int d[maxn];
        int cur[maxn];
    
        int addEdge(int uu, int vv, int cap){
            edges.push_back((Edge){uu, vv, cap, 0});
            edges.push_back((Edge){vv, uu, 0, 0});
            m = edges.size();
            G[uu].push_back(m-2);
            G[vv].push_back(m-1);
            return m-2;
        }
    
        bool bfs(){
            memset(vis, 0, sizeof(vis));
            queue<int> qu;
            qu.push(s);
            d[s] = 0;
            vis[s] = 1;
            while(!qu.empty()){
                int x = qu.front(); qu.pop();
                int si = G[x].size();
                for(int i = 0; i < si; i++){
                    Edge& e = edges[G[x][i]];
                    if(!vis[e.v] && e.cap > e.flow){
                        vis[e.v] = 1;
                        d[e.v] = d[x] + 1;
                        qu.push(e.v);
                    }
                }
            }
            return vis[t];
        }
    
        int dfs(int x, int a){
            if(x == t || a == 0) return a;
            int flow = 0, f;
            int si = G[x].size();
            for(int& i = cur[x]; i < si; i++){
                Edge& e = edges[G[x][i]];
                if(d[x] + 1 == d[e.v] && (f = dfs(e.v, min(a, e.cap-e.flow))) > 0){
                    e.flow += f;
                    edges[G[x][i]^1].flow -= f;
                    flow += f;
                    a -= f;
                    if(a == 0) break;
                }
            }
            return flow;
        }
    
        int Maxflow(int s, int t){
            this->s = s;
            this->t = t;
            int flow = 0;
            while(bfs()){
                memset(cur, 0, sizeof(cur));
                flow += dfs(s, INF);
            }
            return flow;
        }
    };
    
    int main()
    {
        int n;
        while(scanf("%d", &n) == 1){
            Dinic din;
            int t = n + n * (n-1) / 2 + 1;
            for(int i = 1; i <= n; i++){
                scanf("%d", &a[i]);
                din.addEdge(i, t, a[i]);
            }
            for(int i = 1, k = n+1; i <= n; i++)
                for(int j = i+1; j <= n; j++, k++){
                    vs[i][j] = din.addEdge(0, k, 3);
                    din.addEdge(k, i, 3);
                    din.addEdge(k, j, 3);
                }
            if(din.Maxflow(0, t) == 3 * n * (n-1) / 2){
                puts("CORRECT");
                for(int i = 1; i <= n; i++)
                    for(int j = i+1; j <= n; j++){
                        int L = din.edges[vs[i][j]+2].flow;
                        int R = din.edges[vs[i][j]+4].flow;
                        if(L == 3 && R == 0) printf("%d > %d
    ", i, j);
                        else if(L == 0 && R == 3) printf("%d < %d
    ", i, j);
                        else if(L == 2 && R == 1) printf("%d >= %d
    ", i, j);
                        else printf("%d <= %d
    ", i, j);
                    }
            }
            else puts("INCORRECT");
        }
        return 0;
    }
    


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  • 原文地址:https://www.cnblogs.com/suncoolcat/p/3293841.html
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