• HDU 3729 I'm Telling the Truth (二分匹配)


    题意:给定 n 个人成绩排名区间,然后问你最多有多少人成绩是真实的。

    析:真是没想到二分匹配,。。。。后来看到,一下子就明白了,原来是水题,二分匹配,只要把每个人和他对应的区间连起来就好,跑一次二分匹配,裸的。

    代码如下:

    #pragma comment(linker, "/STACK:1024000000,1024000000")
    #include <cstdio>
    #include <string>
    #include <cstdlib>
    #include <cmath>
    #include <iostream>
    #include <cstring>
    #include <set>
    #include <queue>
    #include <algorithm>
    #include <vector>
    #include <map>
    #include <cctype>
    #include <cmath>
    #include <stack>
    #include <sstream>
    #include <list>
    #define debug() puts("++++");
    #define gcd(a, b) __gcd(a, b)
    #define lson l,m,rt<<1
    #define rson m+1,r,rt<<1|1
    #define freopenr freopen("in.txt", "r", stdin)
    #define freopenw freopen("out.txt", "w", stdout)
    using namespace std;
    
    typedef long long LL;
    typedef unsigned long long ULL;
    typedef pair<int, int> P;
    const int INF = 0x3f3f3f3f;
    const double inf = 0x3f3f3f3f3f3f;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int maxn = 101000 + 10;
    const int mod = 10;
    const int dr[] = {-1, 0, 1, 0};
    const int dc[] = {0, 1, 0, -1};
    const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
    int n, m;
    const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    inline bool is_in(int r, int c) {
        return r > 0 && r <= n && c > 0 && c <= m;
    }
    
    vector<int> G[maxn];
    
    void add(int u, int v){
      G[u].push_back(v);
      G[v].push_back(u);
    }
    
    int match[maxn];
    bool vis[maxn];
    
    bool dfs(int u){
      vis[u] = true;
      for(int i = 0; i < G[u].size(); ++i){
        int v = G[u][i];
        int w = match[v];
        if(w == -1 || !vis[w] && dfs(w)){
          match[u] = v;
          match[v] = u;
          return true;
        }
      }
      return false;
    }
    
    int main(){
      int T;  cin >> T;
      while(T--){
        scanf("%d", &n);
        for(int i = 0; i < maxn; ++i)  G[i].clear();
        for(int i = 0; i < n; ++i){
          int u, v;
          scanf("%d %d", &u, &v);
          for(int j = u+100; j <= v+100; ++j)
            add(i, j);
        }
    
        memset(match, -1, sizeof match);
        int ans = 0;
        for(int i = n-1; i >= 0; --i)  if(match[i] < 0){
          memset(vis, 0, sizeof vis);
          if(dfs(i))  ++ans;
        }
        printf("%d
    ", ans);
        int cnt = 0;
        for(int i = 0; i < n; ++i)
          if(match[i] != -1)  printf("%d%c", i+1, ++cnt == ans ? '
    ' : ' ');
      }
      return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/dwtfukgv/p/7257444.html
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