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  1. #include<cstdio>
  2. #include<cstring>
  3. #include<algorithm>
  4. #include<vector>
  5. using namespace std;
  6. #define rep(i,x,y) for(i=x;i<=y;i++)
  7. #define REP(i,x,y) for(int i=(x);i<=(y);i++)
  8. #define CL(S,x) memset(S,x,sizeof(S))
  9. #define CP(S1,S2) memcpy(S1,S2,sizeof(S2))
  10. #define pb push_back
  11. const int N=12010,inf=int(1e9),V=100010,E=500010;
  12. int n,n0,i,j,k,l,r,p,x,y,z,L,X[N],o[N];
  13. struct FlowG{
  14.     int S,T,N,edge,e[E],b[E],c[E],fir[V],last[V],vh[V],h[V],cur[V],pre[V];
  15.     void clear(){edge=1;CL(fir,0);}
  16.     void add2(int x,int y,int z){e[++edge]=y;c[edge]=z;b[edge]=fir[x];fir[x]=edge;}
  17.     void add(int x,int y,int z){add2(x,y,z);add2(y,x,0);}
  18.     int sap(){
  19.         int i,k,p,flow,minh,ans=0;CL(h,0);CL(vh,0);vh[0]=N;CP(cur,fir);CL(pre,0);pre[S]=S;
  20.         for(i=S;h[S]<N;){
  21.             if(i==T){
  22.                 flow=inf;for(p=S;p!=T;p=e[cur[p]])flow=min(flow,c[cur[p]]);
  23.                 ans+=flow;for(p=S;p!=T;p=e[cur[p]])c[cur[p]]-=flow,c[cur[p]^1]+=flow;i=S;
  24.             }
  25.             for(k=cur[i];k;k=b[k])
  26.             if(c[k]&&h[e[k]]+1==h[i]){cur[i]=k;pre[e[k]]=i;i=e[k];break;}
  27.             if(!k){
  28.                 if(--vh[h[i]]==0)break;
  29.                 cur[i]=fir[i];minh=N;for(k=cur[i];k;k=b[k])if(c[k])minh=min(minh,h[e[k]]+1);
  30.                 ++vh[h[i]=minh];i=pre[i];
  31.             }
  32.         }
  33.         return ans;
  34.     }
  35. }F;
  36.  
  37. struct graph{
  38.     int edge,fir[N],e[N],b[N],w[N];bool done[N];
  39.     int fa[N],fae[N],sz[N],ms[N],st[N],st1[N],st2[N];
  40.     void clear(){edge=1;CL(fir,0);}void add2(int x,int y,int z){e[++edge]=y;w[edge]=z;b[edge]=fir[x];fir[x]=edge;}
  41.     void add(int x,int y,int z){add2(x,y,z);add2(y,x,z);}
  42.     int dfs(int i,int f,int ma){st[++st[0]]=i;fa[i]=f;sz[i]=1;ms[i]=ma;for(int k=fir[i];k;k=b[k])if(!done[k]&&e[k]!=f)fae[e[k]]=k,sz[i]+=dfs(e[k],i,max(ma,w[k]));return sz[i];}
  43.     void fadd(){
  44.         int t1=++F.N;REP(p,1,st1[0])F.add(st1[p],t1,inf); REP(p,1,st2[0])if(ms[st2[p]]>=L)F.add(t1,n+st2[p],inf);
  45.         int t2=++F.N;REP(p,1,st1[0])if(ms[st1[p]]>=L)F.add(st1[p],t2,inf); REP(p,1,st2[0])F.add(t2,n+st2[p],inf);
  46.     }
  47.     void fun(int r){
  48.         st[0]=0;int sz0=dfs(r,0,0),best=N,A,B,O,p;if(sz0<=1)return;
  49.         rep(p,2,st[0]){int i=st[p],tt;if((tt=max(sz0-sz[i],sz[i]))<best)best=tt,A=i,B=fa[i],O=fae[i];}
  50.         done[O]=done[O^1]=1;
  51.         st[0]=0;dfs(A,0,w[O]);rep(i,0,st[0])st1[i]=st[i];
  52.         st[0]=0;dfs(B,0,w[O]);rep(i,0,st[0])st2[i]=st[i];
  53.         fadd();rep(i,0,sz0)swap(st1[i],st2[i]);fadd();
  54.         fun(A);fun(B);
  55.     }
  56.     bool ok(){
  57.         F.clear();F.S=2*n+1;F.N=F.T=2*n+2;REP(i,1,n0)F.add(F.S,i,1);REP(i,1,n0)F.add(n+i,F.T,X[i]);
  58.         CL(done,0);fun(1);return F.sap()==n0;
  59.     }
  60. }H;
  61.  
  62. struct ori{
  63.     vector<int> e[N],ew[N];int li[N],lw[N];
  64.     void adde(int x,int y,int z){e[x].pb(y);ew[x].pb(z);}
  65.     void work(int x,int y,int f){
  66.         if(x==y){H.add(f,li[x],lw[x]);return;}
  67.         int nod=++n;H.add(f,nod,0);work(x,(x+y)/2,nod);work((x+y)/2+1,y,nod);
  68.     }
  69.     void bui(int i,int f){
  70.         li[0]=0;for(int k=0;k<e[i].size();k++)if(e[i][k]!=f)li[++li[0]]=e[i][k],lw[li[0]]=ew[i][k];
  71.         if(li[0])work(1,li[0],i);for(int k=0;k<e[i].size();k++)if(e[i][k]!=f)bui(e[i][k],i);
  72.     }
  73. }G;
  74.  
  75. int main(){
  76. 	scanf("%d",&n);n0=n;
  77. 	rep(i,1,n-1)scanf("%d%d%d",&x,&y,&z),G.adde(x,y,z),G.adde(y,x,z),o[i]=z;rep(i,1,n)scanf("%d",&X[i]);
  78.     sort(o+1,o+1+(n-1));o[0]=1;rep(i,2,n-1)if(o[i]!=o[i-1])o[++o[0]]=o[i];
  79. 	H.clear();G.bui(1,0);
  80. 	for(l=1,r=o[0];l<r;){int mid=(l+r+1)/2;L=o[mid];if(H.ok())l=mid;else r=mid-1;}printf("%d\n",o[l]);
  81.     return 0;
  82. }
  83.  
Runtime error #stdin #stdout 0s 12528KB
comments (?)
stdin 
Standard input is empty
stdout 
Standard output is empty
https://ideone.com/MhtOXG
language:
C++ (gcc 8.3)
created:
10 years ago
visibility:
public

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