POJ 2455 Secret Milking Machine (最大流)
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题意:找出从1点到第n点的T条路,求这些路的最长边的最小值。
#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>#include <cmath>#include <queue>#include <stack>using namespace std;const int N = 209<<1;const int M = 40009<<1;const int INF = 0x3f3f3f3f;struct LT{ int l,r,dis;} L[M];int cnt=0;void add(int f,int t,int dis){ L[cnt].dis = dis; L[cnt].r = t,L[cnt].l = f; cnt++;}int g[N][N],gap[N],dist[N],pre[N],cur[N];int n,m,t;int sap(int s1,int t1,int n){ int ret = 0,aug = INF,u,v; memset(gap,0,sizeof(gap)); memset(dist,0,sizeof(dist)); for(int i=0;i<=n;i++) cur[i] = 1; u = pre[s1] = s1; gap[0] = n; while(dist[s1]<=n){ loop: for(v = cur[u];v<=n;v++) if(g[u][v]>0&&dist[u] ==dist[v]+1) { cur[u] = v;aug = min(aug,g[u][v]); pre[v] = u; u = v; if(u==t1){ ret+=aug; for(u=pre[u];v!=s1;v=u,u=pre[u]) g[u][v]-=aug,g[v][u]+=aug; aug = INF; } goto loop; } int mind =n; for(v=1;v<=n;v++) if(g[u][v]>0&&mind>dist[v]) mind = dist[v],cur[u] = v; if(--gap[dist[u]]<=0) break; gap[dist[u]=mind+1]++; u=pre[u]; }return ret;}void solve(int u,int T){ int l = 0,r = INF,mid; int n = u,s=1,t=u,ans=INF; while(l<=r) { mid = (l+r)>>1; memset(g,0,sizeof(g)); for(int i=0;i<cnt;i++) if(L[i].dis<=mid) g[L[i].l][L[i].r]++; int k = sap(s,t,n); if(k>=T) ans = mid,r = mid-1; else l = mid+1; } printf("%d\n",ans);}int main(){ freopen("in.txt","r",stdin); int a,b;int l,r,d; scanf("%d%d%d",&a,&b,&t); for(int i=0;i<b;i++) { scanf("%d%d%d",&l,&r,&d); add(l,r,d); add(r,l,d); } solve(a,t); return 0;}
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