A string s of length n (1 ≤ n ≤ 26) is called alphabetical if it can be obtained using the following algorithm:

  * first, write an empty string to s (i.e. perform the assignment s := ""); 
  * then perform the next step n times; 
  * at the i-th step take i-th lowercase letter of the Latin alphabet and write it either to the left of the string s or to the right of the string s (i.e. perform the assignment s := c+s or s := s+c, where c is the i-th letter of the Latin alphabet). 



In other words, iterate over the n first letters of the Latin alphabet starting from 'a' and etc. Each time we prepend a letter to the left of the string s or append a letter to the right of the string s. Strings that can be obtained in that way are alphabetical.

For example, the following strings are alphabetical: "a", "ba", "ab", "bac" and "ihfcbadeg". The following strings are not alphabetical: "z", "aa", "ca", "acb", "xyz" and "ddcba".

From the given string, determine if it is alphabetical.

Input

The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

Each test case is written on a separate line that contains one string s. String s consists of lowercase letters of the Latin alphabet and has a length between 1 and 26, inclusive.

Output

Output t lines, each of them must contain the answer to the corresponding test case. Output YES if the given string s is alphabetical and NO otherwise.

You can output YES and NO in any case (for example, strings yEs, yes, Yes and YES will be recognized as a positive answer).

Example

Input


11
a
ba
ab
bac
ihfcbadeg
z
aa
ca
acb
xyz
ddcba


Output


YES
YES
YES
YES
YES
NO
NO
NO
NO
NO
NO

Note

The example contains test cases from the main part of the condition.
import java.util.StringTokenizer;
import java.io.InputStreamReader;
import java.lang.reflect.Array;
import java.io.IOException;
import java.io.BufferedReader;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.Collections;
import java.util.ArrayList;

public class p2
{
	static class FastReader {
		BufferedReader br;
		StringTokenizer st;

		public FastReader()
		{
				br = new BufferedReader(new InputStreamReader(System.in));
		}

		String next()
		{
				while (st == null || !st.hasMoreElements()) {
						try {
								st = new StringTokenizer(br.readLine());
						}
						catch (IOException e) {
								e.printStackTrace();
						}
				}
				return st.nextToken();
		}

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

		byte nextByte() { return Byte.parseByte(next()); }

		short nextShort() { return Short.parseShort(next()); }

		long nextLong() { return Long.parseLong(next()); }

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

		String nextLine()
		{
				String str = "";
				try {
						str = br.readLine();
				}
				catch (IOException e) {
						e.printStackTrace();
				}
				return str;
		}
	}

	public static void main(String[] args)throws Exception
	{
		FastReader fr=new FastReader();
		//BufferedWriter bw=new BufferedWriter(new OutputStreamWriter(System.out));

		int t=fr.nextInt();
		while(t-->0)
		{
			char c[]=fr.nextLine().toCharArray();

			char a[]=Arrays.copyOf(c, c.length);
			Arrays.sort(a);
			
			int i=-1;
			for(;++i<c.length;)
			{
				if(a[i]!=97+i)
					break;
			}

			if(i==c.length)
			{
				i=-1;
				for(;++i<c.length-1 && c[i]>c[i+1];);
				i--;
				for(;++i<c.length-1 && c[i]<c[i+1];);

				if(i==c.length-1)
					System.out.println("YES");
				else
					System.out.println("NO");

			}
			else
				System.out.println("NO");
		}

	}
}