bzoj1532 [POI2005]Kos-Dicing(二分+最大流)
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二分答案,最大流判是否满流。
#include <cstdio>#include <cstring>#include <algorithm>#include <queue>#include <cmath>using namespace std;#define ll long long#define inf 0x3f3f3f3f#define N 20010inline int read(){ int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9') x=x*10+ch-'0',ch=getchar(); return x*f;}int n,m,h[N],num=1,T=20001,lev[N],cur[N];struct edge{ int to,next,val;}data[90000];inline void add(int x,int y,int val){ data[++num].to=y;data[num].next=h[x];h[x]=num;data[num].val=val; data[++num].to=x;data[num].next=h[y];h[y]=num;data[num].val=0;}inline bool bfs(){ queue<int>q;memset(lev,0,sizeof(lev)); lev[0]=1;q.push(0); while(!q.empty()){ int x=q.front();q.pop(); for(int i=h[x];i;i=data[i].next){ int y=data[i].to;if(lev[y]||!data[i].val) continue; lev[y]=lev[x]+1;if(y==T) return 1;q.push(y); } }return 0;}inline int dinic(int x,int low){ if(x==T) return low;int tmp=low; for(int &i=cur[x];i;i=data[i].next){ int y=data[i].to;if(lev[y]!=lev[x]+1||!data[i].val) continue; int res=dinic(y,min(data[i].val,tmp)); if(!res) lev[y]=0;else data[i].val-=res,data[i^1].val+=res,tmp-=res; if(!tmp) return low; }return low-tmp;}inline bool jud(int x){ num=1;int ans=0; for(int i=1;i<=n;++i) data[++num].val=x,data[++num].val=0; for(int i=1;i<=m*3;++i) data[++num].val=1,data[++num].val=0; while(bfs()){memcpy(cur,h,sizeof(cur));ans+=dinic(0,inf);} return ans==m;}int main(){// freopen("a.in","r",stdin); n=read();m=read(); for(int i=1;i<=n;++i) add(i,T,0); for(int i=1;i<=m;++i){ add(n+i,read(),1);add(n+i,read(),1);add(0,n+i,1); }int l=1,r=m; while(l<=r){ int mid=l+r>>1; if(jud(mid)) r=mid-1; else l=mid+1; }printf("%d\n",r+1); return 0;}
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