#1803. Spoj1487 Query on a tree III

内存限制:64 MiB 时间限制:1 Sec

题目描述

You are given a node-labeled rooted tree with n nodes. Define the query (x, k): Find the node whose label is k-th largest in the subtree of the node x. Assume no two nodes have the same labels.

输入格式

The first line contains one integer n (1 <= n <= 10^5). The next line contains n integers li (0 <= li <= 109) which denotes the label of the i-th node. Each line of the following n - 1 lines contains two integers u, v. They denote there is an edge between node u and node v. Node 1 is the root of the tree. The next line contains one integer m (1 <= m <= 10^4) which denotes the number of the queries. Each line of the next m contains two integers x, k. (k <= the total node number in the subtree of x)

输出格式

For each query (x, k), output the index of the node whose label is the k-th largest in the subtree of the node x.

样例

样例输入


			
5
1 3 5 2 7
1 2
2 3
1 4
3 5
4
2 3
4 1
3 2
3 2

样例输出


			

5
4
5
5




数据范围与提示


Amber的play with tree系列的题....