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.io.*;
import java.util.*;

import static java.lang.Math.max;

public class A {
	Reader source;
	BufferedReader br;
	StringTokenizer in;
	PrintWriter out;
	PrintWriter err;

	void go() throws Exception {
		int n = nextInt();
		int x = nextInt();
		int s = 0;
		int a[] = new int [n];
		for (int i = 0; i < n; i++) {
			a[i] = nextInt();
			s += a[i];
		}
		if (s % x != 0) {
			out.println(n);
			return;
		}
		int l = 0, r = n - 1;
		while (l < n && a[l] % x == 0) {
			s -= a[l];
			l++;
		}
		while (r >= 0 && a[r] % x == 0) {
			s -= a[r];
			r--;
		}
		if (l == n && r == -1) {
			out.println(-1);
			return;
		}
		int ans = max(n - 1 - l, r);
		out.println(ans);
	}

	void solve() throws Exception {
		for (int T = nextInt(); T > 0; T--) go();
	}
	void run() throws Exception {
		if (OJ) source = new InputStreamReader(System.in);
		else 	source = new FileReader("A.in");
		br = new BufferedReader(source);
		out = new PrintWriter(System.out);
		err = new PrintWriter(System.out);
		solve();
		out.flush();
		err.flush();
	}
	public static void main(String[] args) throws Exception {
		new A().run();
	}
	boolean OJ = System.getProperty("ONLINE_JUDGE") != null;

	void show(int[] a) {
		for (int i = 0; i < a.length; i++)
			err.printf("%4d ", a[i]);
		err.println();
	}
	void show(long[] a) {
		for (int i = 0; i < a.length; i++)
			err.printf("%4d ", a[i]);
		err.printf("\n");
	}

	int lower_bound(int[] a, int l, int r, int x) {
		int m;
		while (l + 1 < r) {
			m = (l + r) / 2;
			if (a[m] < x) l = m;
			else r = m;
		}
		return (a[l] == x) ? l : r;
	}
	int lower_bound(int[] a, int x) {
		return lower_bound(a, 0, a.length, x);
	}
	int lower_bound(long[] a, int l, int r, long x) {
		int m;
		while (l + 1 < r) {
			m = (l + r) / 2;
			if (a[m] < x) l = m;
			else r = m;
		}
		return (a[l] == x) ? l : r;
	}
	int lower_bound(long[] a, long x) {
		return lower_bound(a, 0, a.length, x);
	}
	int upper_bound(int[] a, int l, int r, int x) {
		int m;
		while (l + 1 < r) {
			m = (l + r) / 2;
			if (a[m] <= x) l = m;
			else r = m;
		}
		return (a[l] > x) ? l : r;
	}
	int upper_bound(int[] a, int x) {
		return upper_bound(a, 0, a.length, x);
	}
	int upper_bound(long[] a, int l, int r, long x) {
		int m;
		while (l + 1 < r) {
			m = (l + r) / 2;
			if (a[m] <= x) l = m;
			else r = m;
		}
		return (a[l] > x) ? l : r;
	}
	int upper_bound(long[] a, long x) {
		return upper_bound(a, 0, a.length, x);
	}

	String nextToken() throws Exception {
		while (in == null || !in.hasMoreTokens()) {
			in = new StringTokenizer(br.readLine());
		}
		return in.nextToken();
	}
	int nextInt() throws Exception {
		return Integer.parseInt(nextToken());
	}
	long nextLong() throws Exception {
		return Long.parseLong(nextToken());
	}
	double nextDouble() throws Exception {
		return Double.parseDouble(nextToken());
	}
}