题意:给你一棵树,树上的每个节点都有树值,给m个查询,问以每个点u为根的子树下有多少种权值恰好出现k次。
方法跟 Codeforces Round #136 (Div. 2) D. Little Elephant and Array很类似,只不过要将树型结构转化成线型结构。
#include <iostream> #include <cstdio> #include <cstring> #include <vector> #include <map> #include <algorithm> using namespace std; #define LL(x) (x<<1) #define RR(x) (x<<1|1) const int N=1e5+5; struct Query { int st,ed,id; Query(){} Query(int a,int b,int c){st=a;ed=b;id=c;} bool operator < (const Query &b) const { return ed<b.ed; } }; struct node { int lft,rht,sum; int mid(){return lft+(rht-lft)/2;} }; struct Segtree { node tree[N*4]; void build(int lft,int rht,int ind) { tree[ind].lft=lft; tree[ind].rht=rht; tree[ind].sum=0; if(lft!=rht) { int mid=tree[ind].mid(); build(lft,mid,LL(ind)); build(mid+1,rht,RR(ind)); } } void updata(int pos,int ind,int valu) { tree[ind].sum+=valu; if(tree[ind].lft==tree[ind].rht) return; else { int mid=tree[ind].mid(); if(pos<=mid) updata(pos,LL(ind),valu); else updata(pos,RR(ind),valu); } } int query(int be,int end,int ind) { int lft=tree[ind].lft,rht=tree[ind].rht; if(be<=lft&&rht<=end) return tree[ind].sum; else { int mid=tree[ind].mid(); int sum1=0,sum2=0; if(be<=mid) sum1=query(be,end,LL(ind)); if(end>mid) sum2=query(be,end,RR(ind)); return sum1+sum2; } } }seg; int data1[N],data2[N]; int low[N],high[N],res[N],idx; vector<int> adj[N],pos[N]; vector<Query> q; map<int,int> imap; void dfs(int u,int fa) { low[u]=++idx; data2[idx]=data1[u]; for(int i=0;i<(int)adj[u].size();i++) { int v=adj[u][i]; if(v==fa) continue; dfs(v,u); } high[u]=idx; } void init(int n) { idx=0; imap.clear(); q.clear(); for(int i=0;i<=n;i++) { pos[i].clear(); adj[i].clear(); } } int main() { int t,t_cnt=0; scanf("%d",&t); while(t--) { int n,k,a,b,m,sc=0; scanf("%d%d",&n,&k); init(n); for(int i=1;i<=n;i++) { scanf("%d",&data1[i]); if(imap.find(data1[i])==imap.end()) imap.insert(make_pair(data1[i],sc++)); } for(int i=1;i<n;i++) { scanf("%d%d",&a,&b); adj[a].push_back(b); } dfs(1,-1); scanf("%d",&m); for(int i=0;i<m;i++) { scanf("%d",&a); q.push_back(Query(low[a],high[a],i)); } sort(q.begin(),q.end()); int ind=0; seg.build(1,idx,1); for(int i=1;i<=n;i++) { int id=imap[data2[i]]; pos[id].push_back(i); int cnt=(int)pos[id].size(); if(cnt>=k) { if(cnt>k) seg.updata(pos[id][cnt-k-1],1,-2); if(cnt>k+1) seg.updata(pos[id][cnt-k-2],1,1); seg.updata(pos[id][cnt-k],1,1); } while(ind<m&&q[ind].ed==i) { res[q[ind].id]=seg.query(q[ind].st,q[ind].ed,1); ind++; } } if(t_cnt!=0) puts(""); printf("Case #%d:\n",++t_cnt); for(int i=0;i<m;i++) printf("%d\n",res[i]); } return 0; }