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  • ZOJ-2362 Beloved Sons 贪心 | KM

      题目链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=2362

      裸的匹配问题,直接KM,就算是O(n^4)的KM也不会超。当然注意到题目中左边的点到右点所连的边的权值是一样的,所以完全可以贪心拍个序,然后找增广路。。。

      1 //STATUS:C++_AC_250MS_848KB
      2 #include <functional>
      3 #include <algorithm>
      4 #include <iostream>
      5 //#include <ext/rope>
      6 #include <fstream>
      7 #include <sstream>
      8 #include <iomanip>
      9 #include <numeric>
     10 #include <cstring>
     11 #include <cassert>
     12 #include <cstdio>
     13 #include <string>
     14 #include <vector>
     15 #include <bitset>
     16 #include <queue>
     17 #include <stack>
     18 #include <cmath>
     19 #include <ctime>
     20 #include <list>
     21 #include <set>
     22 #include <map>
     23 using namespace std;
     24 //using namespace __gnu_cxx;
     25 //define
     26 #define pii pair<int,int>
     27 #define mem(a,b) memset(a,b,sizeof(a))
     28 #define lson l,mid,rt<<1
     29 #define rson mid+1,r,rt<<1|1
     30 #define PI acos(-1.0)
     31 //typedef
     32 //typedef __int64 LL;
     33 //typedef unsigned __int64 ULL;
     34 //const
     35 const int N=410;
     36 const int INF=0x3f3f3f3f;
     37 const int MOD=100000,STA=8000010;
     38 //const LL LNF=1LL<<60;
     39 const double EPS=1e-8;
     40 const double OO=1e15;
     41 const int dx[4]={-1,0,1,0};
     42 const int dy[4]={0,1,0,-1};
     43 const int day[13]={0,31,28,31,30,31,30,31,31,30,31,30,31};
     44 //Daily Use ...
     45 inline int sign(double x){return (x>EPS)-(x<-EPS);}
     46 template<class T> T gcd(T a,T b){return b?gcd(b,a%b):a;}
     47 template<class T> T lcm(T a,T b){return a/gcd(a,b)*b;}
     48 template<class T> inline T lcm(T a,T b,T d){return a/d*b;}
     49 template<class T> inline T Min(T a,T b){return a<b?a:b;}
     50 template<class T> inline T Max(T a,T b){return a>b?a:b;}
     51 template<class T> inline T Min(T a,T b,T c){return min(min(a, b),c);}
     52 template<class T> inline T Max(T a,T b,T c){return max(max(a, b),c);}
     53 template<class T> inline T Min(T a,T b,T c,T d){return min(min(a, b),min(c,d));}
     54 template<class T> inline T Max(T a,T b,T c,T d){return max(max(a, b),max(c,d));}
     55 //End
     56 
     57 
     58 struct Node{
     59     int val,id;
     60     bool operator < (const Node& a)const{
     61         return val>a.val;
     62     }
     63 }nod[N];
     64 int ca;
     65 
     66 int w[N][N],y[N],vis[N];
     67 int n,m;
     68 
     69 int dfs(int u)
     70 {
     71     int v;
     72     for(v=1;v<=n;v++){
     73         if(w[u][v] && !vis[v]){
     74             vis[v]=1;
     75             if(y[v]==-1 || dfs(y[v])){
     76                 y[v]=u;
     77                 return 1;
     78             }
     79         }
     80     }
     81     return 0;
     82 }
     83 
     84 int main()
     85 {
     86  //   freopen("in.txt","r",stdin);
     87     int i,j,tot,a;
     88     int x[N];
     89     scanf("%d",&ca);
     90     while(ca--)
     91     {
     92         scanf("%d",&n);
     93         for(i=1;i<=n;i++){
     94             scanf("%d",&nod[i].val);
     95             nod[i].val*=nod[i].val;
     96             nod[i].id=i;
     97         }
     98         mem(w,0);
     99         for(i=1;i<=n;i++){
    100             scanf("%d",&tot);
    101             while(tot--){
    102                 scanf("%d",&a);
    103                 w[i][a]=nod[i].val;
    104             }
    105         }
    106         sort(nod+1,nod+n+1);
    107 
    108         mem(x,0);
    109         mem(y,-1);
    110         for(i=1;i<=n;i++){
    111             mem(vis,0);
    112             dfs(nod[i].id);
    113         }
    114         for(i=1;i<=n;i++)
    115             if(y[i]!=-1)x[y[i]]=i;
    116 
    117         printf("%d",x[1]);
    118         for(i=2;i<=n;i++)
    119             printf(" %d",x[i]);
    120         putchar('
    ');
    121     }
    122     return 0;
    123 }
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  • 原文地址:https://www.cnblogs.com/zhsl/p/3207787.html
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