Problem: Polycarp has 26 tasks. Each task is designated by a capital letter of the Latin alphabet.

The teacher asked Polycarp to solve tasks in the following way: if Polycarp began to solve some task, then he must solve it to the end, without being distracted by another task. After switching to another task, Polycarp cannot return to the previous task.

Polycarp can only solve one task during the day. Every day he wrote down what task he solved. Now the teacher wants to know if Polycarp followed his advice.

For example, if Polycarp solved tasks in the following order: "DDBBCCCBBEZ", then the teacher will see that on the third day Polycarp began to solve the task 'B', then on the fifth day he got distracted and began to solve the task 'C', on the eighth day Polycarp returned to the task 'B'. Other examples of when the teacher is suspicious: "BAB", "AABBCCDDEEBZZ" and "AAAAZAAAAA".

If Polycarp solved the tasks as follows: "FFGZZZY", then the teacher cannot have any suspicions. Please note that Polycarp is not obligated to solve all tasks. Other examples of when the teacher doesn't have any suspicious: "BA", "AFFFCC" and "YYYYY".

Help Polycarp find out if his teacher might be suspicious.

Input

The first line contains an integer t (1 ≤ t ≤ 1000). Then t test cases follow.

The first line of each test case contains one integer n (1 ≤ n ≤ 50) — the number of days during which Polycarp solved tasks.

The second line contains a string of length n, consisting of uppercase Latin letters, which is the order in which Polycarp solved the tasks.

Output

For each test case output: 

  * "YES", if the teacher cannot be suspicious; 
  * "NO", otherwise. 



You may print every letter in any case you want (so, for example, the strings yEs, yes, Yes and YES are all recognized as positive answer).

Example

Input


5
3
ABA
11
DDBBCCCBBEZ
7
FFGZZZY
1
Z
2
AB


Output


NO
NO
YES
YES
YES

Solution (in JAVA):

Solution:
//package codeforces;

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.*;

public class contest {

	static class Reader { // Code for Reader class taken from DSA Course reference
		static BufferedReader reader;
		static StringTokenizer tokenizer;

		/** call this method to initialize reader for InputStream */
		static void init(InputStream input) {
			reader = new BufferedReader(
					new InputStreamReader(input) );
			tokenizer = new StringTokenizer("");
		}

		/** get next word */
		static String next() throws IOException {
			while ( ! tokenizer.hasMoreTokens() ) {
				//TODO add check for eof if necessary
				tokenizer = new StringTokenizer(
						reader.readLine() );
			}
			return tokenizer.nextToken();
		}

		static int nextInt() throws IOException {
			return Integer.parseInt( next() );
		}

		static double nextDouble() throws IOException {
			return Double.parseDouble( next() );
		}
	}

	public static void main(String[] args) throws IOException {
		// TODO Auto-generated method stub

		Reader.init(System.in);

		int t=Integer.parseInt(Reader.next());

		for (int i = 0; i < t; i++) {
			int n=Integer.parseInt(Reader.next());
			
			String s=Reader.next();
			
			char arr[]=s.toCharArray();
			
			char cur=arr[0];
			char visited[]=new char[1000];
			
			visited[(int)cur]=1;
			
			boolean check=true;
			
			for (char c : arr) {
				if(c==cur) {
					continue;
				}
				else {
					if(visited[(int)c]==1) {
						check=false;
						break;
					}
					else {
						visited[(int)c]=1;
						cur=c;	
					}
				}
			}
			
			if(check) {
				System.out.println("YES");
			}
			else {
				System.out.println("NO");
			}
			
		}

	}
}