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hdu 5877 线段树(2016 ACM/ICPC Asia Regional Dalian Online)
Weak Pair
Time Limit: 4000/2000 MS (Java/Others) Memory Limit: 262144/262144 K (Java/Others)
Total Submission(s): 439 Accepted Submission(s): 155
Problem Description
You are given a rooted tree of N nodes, labeled from 1 to N. To the ith node a non-negative value ai is assigned.An ordered pair of nodes (u,v) is said to be weakif
(1) u is an ancestor of v (Note: In this problem a node u is not considered an ancestor of itself);
(2) au×av≤k.
Can you find the number of weak pairs in the tree?
(1) u is an ancestor of v (Note: In this problem a node u is not considered an ancestor of itself);
(2) au×av≤k.
Can you find the number of weak pairs in the tree?
Input
There are multiple cases in the data set.
The first line of input contains an integer T denoting number of test cases.
For each case, the first line contains two space-separated integers, N and k, respectively.
The second line contains N space-separated integers, denoting a1 to aN.
Each of the subsequent lines contains two space-separated integers defining an edge connecting nodes u and v , where node u is the parent of node v.
Constrains:
1≤N≤105
0≤ai≤109
0≤k≤1018
The first line of input contains an integer T denoting number of test cases.
For each case, the first line contains two space-separated integers, N and k, respectively.
The second line contains N space-separated integers, denoting a1 to aN.
Each of the subsequent lines contains two space-separated integers defining an edge connecting nodes u and v , where node u is the parent of node v.
Constrains:
1≤N≤105
0≤ai≤109
0≤k≤1018
Output
For each test case, print a single integer on a single line denoting the number of weak pairs in the tree.
Sample Input
12 31 21 2
Sample Output
1
/*hdu 5877 线段树problem:给你一棵n个节点的有根树,每个节点有价值a[i]. 问有多少个点对(u,v)满足:u是v的祖先且a[u]*a[v] <= ksolve:先找出这个树的根节点.因为要求u是v的祖先,所以相当于v的父亲到根节点的所有点. 所以可以在树的遍历的时候把走过点的值存入线段树中,当走到第i个节点值求出线段树中[1,k/a[i]]总共有多少个值就行. 然后递归回退时在把这个点删掉.数据很大所以再进行一下离散化处理.hhh-2016-09-11 09:22:59*/#include <algorithm>#include <iostream>#include <cstdlib>#include <stdio.h>#include <cstring>#include <vector>#include <math.h>#include <queue>#include <set>#define lson i<<1#define rson i<<1|1#include <map>#define ll long longusing namespace std;const int maxn = 200100;int a[maxn];struct Node{ int l,r; int val;} tree[maxn <<2];void push_up(int i){ tree[i].val= tree[lson].val + tree[rson].val;}void build(int i,int l,int r){ tree[i].l = l,tree[i].r = r; tree[i].val = 0; if(l == r) { return ; } int mid = (tree[i].l + tree[i].r) >> 1; build(lson,l,mid); build(rson,mid+1,r); push_up(i);}void update(int i,int k,int va){ if(tree[i].l == tree[i].r && tree[i].l == k) { tree[i].val += va; return; } int mid = (tree[i].l + tree[i].r) >> 1; if(k <= mid) update(lson,k,va); else update(rson,k,va); push_up(i);}int query(int i,int l,int r){ if(l > r) return 0; if(tree[i].l >= l && tree[i].r <= r) { return tree[i].val; } int tans = 0; int mid = (tree[i].l + tree[i].r ) >> 1; if(l <= mid) tans += query(lson,l,r); if(r > mid) tans += query(rson,l,r); return tans;}struct node{ int next; int to;} edge[maxn];ll k;int ta,tot,n;int head[maxn];int deep[maxn];int t[maxn];void addedge(int from,int to){ edge[tot].to=to; edge[tot].next=head[from]; head[from]=tot++;}ll ans = 0;void dfs(int u,int fa){ int o=lower_bound(t,t+ta,k/a[u])-t; ans+=query(1,0,o); int tk=lower_bound(t,t+ta,a[u])-t; update(1,tk,1); for(int i=head[u]; ~i; i=edge[i].next) { int v=edge[i].to; dfs(v,u); } update(1,tk,-1);}int main(){ int T; scanf("%d",&T); while(T--) { scanf("%d %I64d",&n,&k); int cnt=0; for(int i=1; i<=n; i++) { scanf("%I64d",&a[i]); t[cnt++]=a[i]; } for(int i=1; i<=n; i++) t[cnt++]=k/a[i]; sort(t,t+cnt); ta=unique(t,t+cnt)-t; tot=0; memset(head,-1,sizeof(head)); memset(deep,0,sizeof(deep)); for(int i=0; i<n-1; i++) { int u,v; scanf("%d %d",&u,&v); addedge(u,v); deep[v]++; } ans=0; build(1,0,ta); for(int i=1; i<=n; i++) if(deep[i]==0) dfs(i,-1); printf("%I64d\n",ans); } return 0;}
hdu 5877 线段树(2016 ACM/ICPC Asia Regional Dalian Online)
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