69 lines
1.7 KiB
C++
69 lines
1.7 KiB
C++
#include<iostream>
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#include<cstdio>
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#include<cstring>
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using namespace std;
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#define MAXN 22
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#define inf 1<<28
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int map[MAXN][MAXN];
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int pre[MAXN];
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int level[MAXN];
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int gap[MAXN];
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int SAP(int vs,int vt){
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memset(pre,-1,sizeof(pre));
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memset(level,0,sizeof(level));
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memset(gap,0,sizeof(gap));
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int v,u=pre[vs]=vs,maxflow=0,aug=inf;
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gap[0]=vt;
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while(level[vs]<vt){
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for(v=1;v<=vt;v++){
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if(map[u][v]>0&&level[u]==level[v]+1){
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break;
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}
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}
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if(v<=vt){
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pre[v]=u;
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u=v;
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if(v==vt){
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aug=inf;
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for(int i=v;i!=vs;i=pre[i]){
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if(aug>map[pre[i]][i])aug=map[pre[i]][i];
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}
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maxflow+=aug;
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for(int i=v;i!=vs;i=pre[i]){
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map[pre[i]][i]-=aug;
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map[i][pre[i]]+=aug;
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}
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u=vs;
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}
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}else {
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int minlevel=vt;
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for(v=1;v<=vt;v++){
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if(map[u][v]>0&&minlevel>level[v]){
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minlevel=level[v];
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}
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}
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gap[level[u]]--;
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if(gap[level[u]]==0)break;
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level[u]=minlevel+1;
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gap[level[u]]++;
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u=pre[u];
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}
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}
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return maxflow;
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}
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int main(){
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int _case,t=1,n,m,u,v,cap;
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scanf("%d",&_case);
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while(_case--){
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memset(map,0,sizeof(map));
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scanf("%d%d",&n,&m);
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while(m--){
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scanf("%d%d%d",&u,&v,&cap);
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map[u][v]+=cap;
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}
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printf("Case %d: ",t++);
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printf("%d\n",SAP(1,n));
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}
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return 0;
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}
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