Problem: Ehab loves number theory, but for some reason he hates the number x. Given an array a, find the length of its longest subarray such that the sum of its elements isn't divisible by x, or determine that such subarray doesn't exist.

An array a is a subarray of an array b if a can be obtained from b by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.

Input

The first line contains an integer t (1 ≤ t ≤ 5) — the number of test cases you need to solve. The description of the test cases follows.

The first line of each test case contains 2 integers n and x (1 ≤ n ≤ 10^5, 1 ≤ x ≤ 10^4) — the number of elements in the array a and the number that Ehab hates.

The second line contains n space-separated integers a_1, a_2, …, a_{n} (0 ≤ a_i ≤ 10^4) — the elements of the array a.

Output

For each testcase, print the length of the longest subarray whose sum isn't divisible by x. If there's no such subarray, print -1.

Example

Input


3
3 3
1 2 3
3 4
1 2 3
2 2
0 6


Output


2
3
-1

Note

In the first test case, the subarray [2,3] has sum of elements 5, which isn't divisible by 3.

In the second test case, the sum of elements of the whole array is 6, which isn't divisible by 4.

In the third test case, all subarrays have an even sum, so the answer is -1.

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
public class EdA {

	public static void main(String[] args) throws Exception{
		int num = 998244353;

		// TODO Auto-generated method stub
 		BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
 		PrintWriter out = new PrintWriter(System.out);
 		int t = Integer.parseInt(bf.readLine());
 		for(int i = 0;i<t;i++){
//	 		String input1 = bf.readLine().trim();
//	 		String input2 = bf.readLine().trim();
	 		StringTokenizer st = new StringTokenizer(bf.readLine());
	 		int n = Integer.parseInt(st.nextToken());
	 		int m = Integer.parseInt(st.nextToken());
	 		ArrayList<Integer> array = new ArrayList<Integer>();
	 		StringTokenizer st2 = new StringTokenizer(bf.readLine());
	 		int[] prefix = new int[n+1];
	 		int sum = 0;
	 		boolean all = true;
	 		prefix[0] = 0;
	 		for(int j=0;j<n;j++){
	 			array.add(Integer.parseInt(st2.nextToken()));
	 			if (array.get(j)%m != 0)
	 				all = false;
	 			sum+= array.get(j);
	 			prefix[j+1] = sum;
	 		}
	 		
	 		if (all == true){
	 			out.println(-1);
	 		}
	 		else{
	 			if (prefix[n]%m != 0)
	 				out.println(n);
	 			else{
	 		int l = 0;
	 		int r = n;
	 		while(l <=n && prefix[l]%m ==0){
	 			l++;
	 		}
	 		while(r >= 0 && (prefix[n]-prefix[r])%m == 0){
	 			r--;
	 		}
	 		out.println(Math.max(n-l, r));
	 		}
	 		}
 		}

 		out.close();
 		
 		
 		
 	}
}
 	
 
//StringJoiner sj = new StringJoiner(" "); 
//sj.add(strings)
//sj.toString() gives string of those stuff w spaces or whatever that sequence is