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:
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.math.BigInteger;
import java.util.HashMap;
import java.util.Map;
import java.util.StringTokenizer;

public final class Main {
    public static void main(final String... args) throws Throwable {
        final BufferedReader reader = FastLibrary.newBufferedReader(16384);
        try (final BufferedWriter writer = FastLibrary.newBufferedWriter(8192)) {
            final int t = FastLibrary.parseInt(reader.readLine());
            for (int i = 0; i < t; i++)
                solve(reader, writer);
        }
    }

    private static void solve(final BufferedReader reader, final BufferedWriter writer) throws Throwable {
        reader.readLine();
        final String logs = reader.readLine();

        final Map<Character, Integer> seen = new HashMap<>();
        for (int i = 0; i < logs.length(); i++) {
            final char next = logs.charAt(i);

            if (!seen.containsKey(next)) {
                seen.put(next, i);

                continue;
            }

            final int lastOccurrence = seen.get(next);
            if (i - lastOccurrence > 1) {
                writer.write(FastLibrary.NO);
                writer.write(System.lineSeparator());

                return;
            }

            seen.put(next, i);
        }

        writer.write(FastLibrary.YES);
        writer.write(System.lineSeparator());
    }
}

@SuppressWarnings("unused")
final class FastLibrary {
    public static final String YES = "YES";
    public static final String NO = "NO";

    private FastLibrary() {
        throw new UnsupportedOperationException();
    }

    public static BufferedReader newBufferedReader(final int bufferSize) {
        return new BufferedReader(new InputStreamReader(System.in), bufferSize);
    }

    public static BufferedWriter newBufferedWriter(final int bufferSize) {
        return new BufferedWriter(new OutputStreamWriter(System.out), bufferSize);
    }

    public static StringTokenizer spaceSplitter(final String s) {
        return new StringTokenizer(s, " ");
    }

    public static void repeat(int times, final Runnable runnable) {
        while (times-- > 0)
            runnable.run();
    }

    public static long parseLong(final String token) {
        long result = 0L;

        if (token.isEmpty())
            return result;

        final boolean negative = token.charAt(0) == '-';
        for (int i = (negative ? /* skipping minus */ 1 : 0); i < token.length(); ++i) {
            final char currentChar = token.charAt(i);
            if (currentChar < '0' || currentChar > '9')
                throw new NumberFormatException("Expected a digit, found this: '" + currentChar + "' (i=" + i + ")");

            result += BigInteger.valueOf(token.charAt(i) - '0')
                    .multiply(BigInteger.valueOf((long) Math.pow(10, token.length() - i - 1))).longValue();
        }

        return negative ? -result : result;
    }

    public static int parseInt(final String token) {
        final long result = parseLong(token);

        if (result < Integer.MIN_VALUE || result > Integer.MAX_VALUE)
            throw new IllegalArgumentException("Provided argument is a number, " +
                    "but it can't be converted to an Integer due to its size: " + result);

        return (int) result;
    }
}