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  • zkw费用流模版

    /**************************************************************
        Problem: 3876
        User: wangck1998
        Language: C++
        Result: Accepted
        Time:176 ms
        Memory:1456 kb
    ****************************************************************/
     
    #include <bits/stdc++.h>
    using namespace std;
      
    #ifdef debug
    #define ep(...) fprintf(stderr, __VA_ARGS__)
    #else
    #define ep(...) assert(true)
    #endif
      
    const int MAXN = 303;
    const int INF = 0x3f3f3f3f;
      
    const int MAXV = MAXN + 3;
    const int MAXE = (5003 + MAXN * 2) * 2;
      
    struct Edge {
      Edge* next;
      int dest;
      int cap;
      int val;
    };
      
    Edge memory[MAXE];
    Edge* curMemory = memory;
    Edge* info[MAXV];
      
     
    void insert(int u, int v, int c, int l) {
      curMemory->next = info[u];
      curMemory->dest = v;
      curMemory->cap = c;
      curMemory->val = l;
      info[u] = curMemory++;
     
      curMemory->next = info[v];
      curMemory->dest = u;
      curMemory->cap = 0;
      curMemory->val = -l;
      info[v] = curMemory++;
    }
     
      
    Edge* oppsiteEdge(const Edge* const x) {
      return memory + ((x - memory) ^ 1);
    }
      
    int n;
    int S, T;
      
      
    int d[MAXV];
    bool vis[MAXV];
    int slack[MAXV];
    Edge* pre[MAXV];
     
    int dfs(int u, int flow) {
      if (u == T) return flow;
      vis[u] = true;
      int rest = flow;
      for (Edge* &pt = pre[u]; pt; pt = pt->next) {
        int v = pt->dest;
        if (pt->cap) {
          if (d[u] + pt->val == d[v] && ! vis[v]) {
            int temp = dfs(v, min(rest, pt->cap));
            if (temp) {
              rest -= temp;
              pt->cap -= temp;
              oppsiteEdge(pt)->cap += temp;
              if (rest == 0) return flow;
            }
          }
          else slack[v] = min(slack[v], d[u] + pt->val - d[v]);
        }
      }
      return flow - rest;
    }
     
    int maxFlow() {
      fill(d, d + T + 1, INF);
      d[S] = 0;
      queue<int> que;
      que.push(S);
      do {
        int u = que.front();
        que.pop();
        for (Edge* pt = info[u]; pt; pt = pt->next) 
          if (pt->cap) {
            int v = pt->dest;
            int temp = d[u] + pt->val;
            if (temp < d[v]) {
              d[v] = temp;
              que.push(v);
            }
          }
      }while (! que.empty());
     
      int ret = 0;
      while (1) {
        while (1) {
          fill(vis, vis + T + 1, false);
          fill(slack, slack + T + 1, INF);
          copy(info, info + T + 1, pre);
          int temp = dfs(S, INF);
          if (temp) ret += (d[T] - d[S]) * temp;
          else break;
        }
     
        int temp = INF;
        for (int i = 0; i <= T; i++) 
          if (! vis[i]) temp = min(temp, slack[i]);
        if (temp == INF) break;
        for (int i = 0; i <= T; i++) 
          if (vis[i]) d[i] -= temp;
      }
      return ret;
    }
     
    int main() {
        scanf("%d", &n);
        S = 0, T = n + 1;
      
        int ans = 0;
        static int degree[MAXN];
        for (int i = 1; i <= n; i ++) {
            int m;
            scanf("%d", &m);
            degree[i] -= m;
            for (int j = 0; j < m; j ++) {
                int v, c;
                scanf("%d%d", &v, &c);
                degree[v] ++;
                insert(i, v, INF, c);
                ans += c;
            }
        }
      
        for (int i = 1; i <= n; i ++) {
            if (degree[i] > 0) {
                insert(S, i, degree[i], 0);
            }
            else if (degree[i] < 0) {
                insert(i, T, - degree[i], 0);
            }
            insert(i, 1, INF, 0);
        }
      
        printf("%d
    ", ans + maxFlow());
      
        return 0;
    }
    
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    满汉全席
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    2-sat
    花匠
    维护序列NOI2005
    序列终结者
    杨辉三角
  • 原文地址:https://www.cnblogs.com/wangck/p/5130946.html
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