K-th Number

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 262144/262144 K (Java/Others)

Description

Alice are given an array $A[1..N]$ with $N$ numbers.

Now Alice want to build an array $B$ by a parameter $K$ as following rules:

Initially, the array B is empty. Consider each interval in array A. If the length of this interval is less than $K$, then ignore this interval. Otherwise, find the $K$-th largest number in this interval and add this number into array $B$.

In fact Alice doesn't care each element in the array B. She only wants to know the $M$-th largest element in the array $B$. Please help her to find this number.

Input

The first line is the number of test cases.

For each test case, the first line contains three positive numbers $N(1 \leq N \leq 10^5), K(1 \leq K \leq N), M$. The second line contains $N$ numbers $A_i (1 \leq A_i \leq 10^9)$.

It's guaranteed that M is not greater than the length of the array B.

Output

For each test case, output a single line containing the $M$-th largest element in the array $B$.

Sample Input

2 5 3 2 2 3 1 5 4 3 3 1 5 8 2

Sample Output

3 2

Hint

jiangzijing2015

Source

2017中国大学生程序设计竞赛-哈尔滨站-重现赛(感谢哈理工)

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