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  • HDU-3046 Pleasant sheep and big big wolf

    1. #include <cstring>
      #include <cstdlib>
      #include <cstring>
      #include <algorithm>
      #include <cstdio>
      #include <queue>
      #define RE(x) (x)^1
      #define INF 0x3fffffff
      #define MAXN 205
      using namespace std;
      int N, M, G[MAXN][MAXN], dis[MAXN*MAXN];
      int dir[2][2] = {0, 1, 1, 0};
      int idx, head[MAXN*MAXN];
      const int sink = MAXN*MAXN-1, source = MAXN*MAXN-2;
      struct Edge
      {
          int v, cap, next;
      }e[MAXN*MAXN*4];
      void init()
      {
          idx = -1;
          memset(head, 0xff, sizeof (head));
      }
      
       int to(int x, int y)
      {
          return (x-1)*M+(y-1);
      }
      
       void insert(int a, int b, int c)
      {
          ++idx;
          e[idx].v = b, e[idx].cap = c;
          e[idx].next = head[a], head[a] = idx;
      }
      
       bool judge(int x, int y)
      {
          if (x < 1 || x > N || y < 1 || y > M) {
              return false;
          }
          return true;
      }
      
       void getint(int &t)
      {
          char c;
          while (c = getchar(), c < '0' || c > '9') ;
          t = c - '0';
          while (c = getchar(), c >= '0' && c <= '9') {
              t = t * 10 + c - '0';
          }
      }
      
       void check(int x, int y)
      {
          int xx, yy;
          if (G[x][y] == 1) {
              insert(to(x, y), sink, INF);
              insert(sink, to(x, y), 0);
          }
          else if (G[x][y] == 2) {
              insert(source, to(x, y), INF);
              insert(to(x, y), source, 0);
          }
          for (int i = 0; i < 2; ++i) {
              xx = x + dir[i][0], yy = y + dir[i][1];
              if (judge(xx, yy)) {
                  insert(to(x, y), to(xx, yy), 1);
                  insert(to(xx, yy), to(x, y), 1);
              }
          }
      }
      
      bool bfs()
      {
          int pos;
          queue<int>q;
          memset(dis, 0xff, sizeof (dis));
          dis[source] = 0;
          q.push(source);
          while (!q.empty()) {
              pos = q.front();
              q.pop();
              for (int i = head[pos]; i != -1; i = e[i].next) {
                  if (dis[e[i].v] == -1 && e[i].cap > 0) {
                      dis[e[i].v] = dis[pos]+1;
                      q.push(e[i].v);
                  }
              }
          }
          return dis[sink] != -1;
      }
      
      int dfs(int u, int flow)
      {
          if (u == sink) {
              return flow;
          }
          int tf = 0, sf;
          for (int i = head[u]; i != -1; i = e[i].next) {
              if (dis[u]+1 == dis[e[i].v] && e[i].cap > 0 && (sf = dfs(e[i].v, min(flow-tf, e[i].cap)))) {
                  e[i].cap -= sf, e[RE(i)].cap += sf;
                  tf += sf;
                  if (tf == flow) {
                      return flow;
                  }
              }
          }
          if (!tf) {
              dis[u] = -1;
          }
          return tf;
      }
      
      int dinic()
      {
          int ans = 0;
          while (bfs()) {
              ans += dfs(source, INF);
          }
          return ans;
      }
      
      int main()
      {
          int ca = 0;
          while (scanf("%d %d", &N, &M) == 2) {
              init();
              for (int i = 1; i <= N; ++i) {
                  for (int j = 1; j <= M; ++j) {
                      scanf("%d", &G[i][j]);
                  //    getint(G[i][j]);
                  }
              }
              for (int i = 1; i <= N; ++i) {
                  for (int j = 1; j <= M; ++j) {
                      check(i, j);
                  }
              }
              printf("%d
      ",dinic());
          }
          return 0;
      }
      
       
      View Code

      题中要求出至少要多少个围墙才能把狼阻挡在羊群活动的范围外,解决该题的方法就是以狼为源点,羊会汇点,求最小割即为最少的围墙数。出源点和汇点外其余两个网格之间的权值都是1,表示有一头狼能够通过网格走到羊群中去。

      递归写的sap一直超时,最后还是递归的Dinic过了,无语了。不会非递归伤不起啊。

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  • 原文地址:https://www.cnblogs.com/sxmcACM/p/3233409.html
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