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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×avk.

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: 
  
  1N105 
  
  0ai109 
  
  0k1018
 
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)