Given an array arr[] and a number K where K is smaller than size of array, the task is to find the Kth smallest element in the given array. It is given that all array elements are distinct.

Expected Time Complexity: O(n)

Input:
The first line of input contains an integer T, denoting the number of testcases. Then T test cases follow. Each test case consists of three lines. First line of each testcase contains an integer N denoting size of the array. Second line contains N space separated integer denoting elements of the array. Third line of the test case contains an integer K.

Output:
Corresponding to each test case, print the kth smallest element in a new line.

Constraints:
1 <= T <= 100
1 <= N <= 105
1 <= arr[i] <= 105
1 <= K <= N

Example:
Input:

2
6
7 10 4 3 20 15
3
5
7 10 4 20 15
4

Output:
7
15

Explanation:
Testcase 1:
3rd smallest element in the given array is 7.

 

** For More Input/Output Examples Use 'Expected Output' option **

Author: mabhinav


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