http://acm.hdu.edu.cn/showproblem.php?pid=2813
裸二分图最优匹配,需要用两个map把武将名字映射到点的序号上
#include <iostream> #include <cstdio> #include <cstring> #include <map> using namespace std; const int N=210; const int INF=0x3f3f3f3f; int nx,ny; int linker[N],lx[N],ly[N],slack[N]; int visx[N],visy[N],w[N][N]; int DFS(int x) { visx[x]=1; for(int y=1;y<=ny;y++){ if(visy[y]) continue; int tmp=lx[x]+ly[y]-w[x][y]; if(tmp==0){ visy[y]=1; if(linker[y]==-1 || DFS(linker[y])){ linker[y]=x; return 1; } }else if(slack[y]>tmp){ slack[y]=tmp; } } return 0; } int KM() { int i,j; memset(linker,-1,sizeof(linker)); memset(ly,0,sizeof(ly)); for(i=1;i<=nx;i++) for(j=1,lx[i]=-INF;j<=ny;j++) if(w[i][j]>lx[i]) lx[i]=w[i][j]; for(int x=1;x<=nx;x++){ for(i=1;i<=ny;i++) slack[i]=INF; while(1){ memset(visx,0,sizeof(visx)); memset(visy,0,sizeof(visy)); if(DFS(x)) break; int d=INF; for(i=1;i<=ny;i++) if(!visy[i] && d>slack[i]) d=slack[i]; for(i=1;i<=nx;i++) if(visx[i]) lx[i]-=d; for(i=1;i<=ny;i++) if(visy[i]) ly[i]+=d; else slack[i]-=d; } } int res=0; for(i=1;i<=ny;i++) if(linker[i]!=-1) res+=w[linker[i]][i]; return res; } int main() { int n,m,k ; while(~scanf("%d%d%d",&n,&m,&k)) { nx=n;ny=m; for(int i=0 ;i<N ;i++) for(int j=0 ;j<N ;j++) w[i][j]=-INF ; int p1=1,p2=1 ; map <string,int> mp1,mp2 ; for(int i=0 ;i<k ;i++) { char a[205],b[205] ; int v ; scanf("%s%s%d",a,b,&v) ; string s1(a),s2(b) ; if(!mp1[s1])mp1[s1]=p1++ ; if(!mp2[s2])mp2[s2]=p2++ ; w[mp1[s1]][mp2[s2]]=-v ; } int ans=KM(); printf("%d\n",-ans); } return 0; }
HDU 2813
时间: 2024-11-05 13:33:19