hdu2255二分最优匹配KM标准模板

其实与今天做的强连通那倒模板题一样,代码不能完全理解,到学会了如何判断是否能用km模板来做,而且也学会了套用km模板来ac了,但是原理却还是不太清楚,果然还是要继续慢慢想明白才行啊,先贴出模板吧,明天再做一下km,继续理解下去。

代码:

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
#define CLR(arr, what) memset(arr, what, sizeof(arr))
#define maxn  305
#define INF  (1<<30)-1
int g[maxn][maxn];
int lx[maxn],ly[maxn],match[maxn];
bool visx[maxn],visy[maxn];
int slack[maxn];
int n,m;
bool dfs(int cur){
     visx[cur] = true;
     for(int y=1;y<=m;y++){
         if(visy[y])   continue;
         int t=lx[cur]+ly[y]-g[cur][y];
         if(t==0){
            visy[y] = true;
            if(match[y]==-1||dfs(match[y])){
                match[y] = cur;
                return true;
            }
         }
         else if(slack[y]>t){
                 slack[y]=t;
         }
     }
     return false;
}
int KM(){
    CLR(match,-1);
    CLR(ly,0);;
    for(int i=1 ;i<=n;i++){
         lx[i]=-INF;
       for(int j=1;j<=m;j++)
           if(g[i][j]>lx[i])   lx[i]=g[i][j];
   }
   for(int x=1;x<=n;x++){
        for(int i=1;i<=m;i++)  slack[i]=INF;
        while(true){
            CLR(visx,false);
            CLR(visy,false);
            if(dfs(x))  break;
            int d=INF;
            for(int i=1;i<=m;i++){
               if(!visy[i]&&d>slack[i])     d=slack[i];
            }
            for(int i=1;i<=n;i++){
               if(visx[i])                  lx[i]-=d;
            }
            for(int i=1;i<=m;i++){
               if(visy[i])                 ly[i]+=d;
               else                        slack[i]-=d;
            }
        }
   }
    int result = 0;
    for(int i = 1; i <=m; i++)
    if(match[i]!=-1)
        result += g[match[i]][i];
    return result;
}
int main(){
    while(scanf("%d",&n)!=EOF){
        CLR(g,0);
        m=n;
        for(int i = 1; i <=n; i++)
        for(int j = 1; j <=m; j++)
        {
            scanf("%d",&g[i][j]);
        }
            /*for(int i=1;i<=n;i++)
            {
                cout<<endl;
                for(int j=1;j<=m;j++)
                cout<<g[i][j]<<" ";
            }*/
            printf("%d\n",KM());
    }
    return 0;
}

 
原文地址:https://www.cnblogs.com/amourjun/p/5134179.html