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#include <algorithm> using namespace std; typedef long long LL; const int N=100000+10; const int B=17; int n; int a[N]; int dcnt; LL d[N]; namespace Seg{ const int SIZE=N*20; int rt[N]; int nodeCnt; int ch[SIZE][2]; LL sum[SIZE]; int (int u){ int v=++nodeCnt; ch[v][0]=ch[u][0]; ch[v][1]=ch[u][1]; sum[v]=sum[u]; return v; } void insert(int u,int &v,int l,int r,int x){ v=copyNode(u); sum[v]+=d[x]; if(l==r) return; int mid=(l+r)>>1; if(x<=mid) insert(ch[u][0],ch[v][0],l,mid,x); else insert(ch[u][1],ch[v][1],mid+1,r,x); } LL query(int u,int l,int r,int x){ if(u==0) return 0; if(l==r) return sum[u]; int mid=(l+r)>>1; if(x<=mid) return query(ch[u][0],l,mid,x); else return sum[ch[u][0]]+query(ch[u][1],mid+1,r,x); } } namespace Tree{ int h[N]; struct Edge{ int v,next; }e[N*2]; int etot; int dep[N]; int pre[N][B+1]; void addEdge(int u,int v){ e[++etot]=(Edge){v,h[u]}; h[u]=etot; e[++etot]=(Edge){u,h[v]}; h[v]=etot; } void buildDFS(int u,int fa){ dep[u]=dep[fa]+1; pre[u][0]=fa; for(int i=1;i<=B;i++) pre[u][i]=pre[pre[u][i-1]][i-1]; Seg::insert(Seg::rt[fa],Seg::rt[u],1,dcnt,a[u]); for(int i=h[u],v;i;i=e[i].next) if((v=e[i].v)!=fa) buildDFS(v,u); } int getLCA(int a,int b){ if(dep[a]<=dep[b]) swap(a,b); for(int i=B;i>=0;i--) if(dep[pre[a][i]]>=dep[b]) a=pre[a][i]; if(a==b) return a; for(int i=B;i>=0;i--) if(pre[a][i]!=pre[b][i]){ a=pre[a][i]; b=pre[b][i]; } return pre[a][0]; } LL queryPath(int u,int v,int lca,int x){ return Seg::query(Seg::rt[u],1,dcnt,x)+ Seg::query(Seg::rt[v],1,dcnt,x)- Seg::query(Seg::rt[lca],1,dcnt,x)*2+ (a[lca]<=x?d[a[lca]]:0); } } void readData(){ scanf("%d",&n); for(int i=1;i<n;i++){ int u,v; scanf("%d%d",&u,&v); Tree::addEdge(u,v); } for(int i=1;i<=n;i++) scanf("%d",&a[i]); } void Diz(){ for(int i=1;i<=n;i++) d[++dcnt]=a[i]; d[++dcnt]=0; sort(d+1,d+dcnt+1); dcnt=unique(d+1,d+dcnt+1)-d-1; for(int i=1;i<=n;i++) a[i]=lower_bound(d+1,d+dcnt+1,a[i])-d; } int DizFind(LL x){ int p=upper_bound(d+1,d+dcnt+1,x)-d; return p-1; } double solve(int a,int b,int k){ int lca=Tree::getLCA(a,b); LL sum=Tree::queryPath(a,b,lca,dcnt); LL x=0,s,addition=0; while(true){ LL origin=Tree::queryPath(a,b,lca,DizFind(x+1)); s=origin+addition; if(s>x){ x=s; }else if(k>0){ if(origin==sum) break; k--; addition+=(x+1); x=s+(x+1); }else{ break; } } double ans=x+1; while(k--) ans*=2; return ans; } void answerQuery(){ int q; int x,y,k; scanf("%d",&q); while(q--){ scanf("%d%d%d",&x,&y,&k); printf("%.0fn",solve(x,y,k)); } } int main(){ readData(); Diz(); Tree::buildDFS(1,0); answerQuery(); return 0; }
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