5803: BZOJ1803:Spoj1487 Query on a tree III

Memory Limit:64 MB Time Limit:1 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

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





提示

Amber的play with tree系列的题....


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