Problem: You want to perform the combo on your opponent in one popular fighting game. The combo is the string s consisting of n lowercase Latin letters. To perform the combo, you have to press all buttons in the order they appear in s. I.e. if s="abca" then you have to press 'a', then 'b', 'c' and 'a' again.

You know that you will spend m wrong tries to perform the combo and during the i-th try you will make a mistake right after p_i-th button (1 ≤ p_i < n) (i.e. you will press first p_i buttons right and start performing the combo from the beginning). It is guaranteed that during the m+1-th try you press all buttons right and finally perform the combo.

I.e. if s="abca", m=2 and p = [1, 3] then the sequence of pressed buttons will be 'a' (here you're making a mistake and start performing the combo from the beginning), 'a', 'b', 'c', (here you're making a mistake and start performing the combo from the beginning), 'a' (note that at this point you will not perform the combo because of the mistake), 'b', 'c', 'a'.

Your task is to calculate for each button (letter) the number of times you'll press it.

You have to answer t independent test cases.

Input

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

Then t test cases follow.

The first line of each test case contains two integers n and m (2 ≤ n ≤ 2 ⋅ 10^5, 1 ≤ m ≤ 2 ⋅ 10^5) — the length of s and the number of tries correspondingly.

The second line of each test case contains the string s consisting of n lowercase Latin letters.

The third line of each test case contains m integers p_1, p_2, ..., p_m (1 ≤ p_i < n) — the number of characters pressed right during the i-th try.

It is guaranteed that the sum of n and the sum of m both does not exceed 2 ⋅ 10^5 (∑ n ≤ 2 ⋅ 10^5, ∑ m ≤ 2 ⋅ 10^5).

It is guaranteed that the answer for each letter does not exceed 2 ⋅ 10^9.

Output

For each test case, print the answer — 26 integers: the number of times you press the button 'a', the number of times you press the button 'b', ..., the number of times you press the button 'z'.

Example

Input


3
4 2
abca
1 3
10 5
codeforces
2 8 3 2 9
26 10
qwertyuioplkjhgfdsazxcvbnm
20 10 1 2 3 5 10 5 9 4


Output


4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 9 4 5 3 0 0 0 0 0 0 0 0 9 0 0 3 1 0 0 0 0 0 0 0 
2 1 1 2 9 2 2 2 5 2 2 2 1 1 5 4 11 8 2 7 5 1 10 1 5 2 

Note

The first test case is described in the problem statement. Wrong tries are "a", "abc" and the final try is "abca". The number of times you press 'a' is 4, 'b' is 2 and 'c' is 2.

In the second test case, there are five wrong tries: "co", "codeforc", "cod", "co", "codeforce" and the final try is "codeforces". The number of times you press 'c' is 9, 'd' is 4, 'e' is 5, 'f' is 3, 'o' is 9, 'r' is 3 and 's' is 1.

Solution (in JAVA):

Solution:
// package codeforces1;

import java.util.*;
import java.util.function.Function;
import java.util.stream.Collectors;
import java.io.*;
import java.math.*;
import java.text.*;

public class C624 {

	static InputReader in = new InputReader(System.in);
	static OutputWriter out = new OutputWriter(System.out);

	public static void main(String[] args) throws NumberFormatException, IOException {
		// TODO Auto-generated method stub
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int t = i();
		PrintWriter out = new PrintWriter(System.out);
		while (t > 0) {
			int n = i();
			int m=i();
			int arr[] = new int[m];
			
			String s=s();
			int dp[][]=new int[n+1][27];
			
			for (int i = 0; i <m; i++) {
				arr[i] = i();
			}
			dp[0][s.charAt(0)-'a']=1;
//			System.out.println(s.charAt(0)-'a');
			for(int i=1;i<n;i++) {
					for(int j=0;j<27;j++) {
						if(s.charAt(i)-'a'==j) {
							dp[i][j]=dp[i-1][j]+1;
						}
						else {
							dp[i][j]=dp[i-1][j];
						}
					}
//				dp[i][s.charAt(i)-'a']=dp[i-1][s.charAt(i)-'a']+1;
			}
//			for(int i=0;i<n;i++) {
//				for(int j=0;j<27;j++) {
//					System.out.print(dp[i][j]+" ");
//				}
//				System.out.println("");
//			}
			int cnt[]=new int[27];
			for(int i=0;i<27;i++) {
				for(int j=0;j<m;j++) {
					cnt[i]=cnt[i]+dp[arr[j]-1][i];
				}
				cnt[i]=cnt[i]+dp[n-1][i];
			}
			for(int i=0;i<26;i++) {
				System.out.print(cnt[i]+" ");
			}
			System.out.println("");
			

//			out.println();

			t--;

		}
		out.close();

		//		long l=l();
		//		String s=s();     //	ONLY BEFORE SPACE IN STRING , ELSE USE BUFFER-READER

	}

	public static long pow(long a, long b) {
		long m = 1000000007;
		long result = 1;
		while (b > 0) {
			if (b % 2 != 0) {
				result = (result * a) % m;
				b--;
			}
			a = (a * a) % m;
			b /= 2;
		}
		return result % m;
	}

	public static long gcd(long a, long b) {
		if (a == 0) {
			return b;
		}
		return gcd(b % a, a);
	}

	public static long lcm(long a, long b) {
		return a * (b / gcd(a, b));
	}

	public static long l() {
		String s = in.String();
		return Long.parseLong(s);
	}

	public static void pln(String value) {
		System.out.println(value);
	}

	public static int i() {
		return in.Int();
	}

	public static String s() {
		return in.String();
	}

}

class pair {
	int x, y;

	pair(int x, int y) {
		this.x = x;
		this.y = y;
	}
}

class CompareValue {

	static void compare(pair arr[], int n) {
		Arrays.sort(arr, new Comparator<pair>() {
			public int compare(pair p1, pair p2) {
				return p1.y - p2.y;
			}
		});
	}
}

class CompareKey {
	static void compare(pair arr[], int n) {
		Arrays.sort(arr, new Comparator<pair>() {
			public int compare(pair p1, pair p2) {
				return p2.x - p1.x;
			}
		});
	}
}

class InputReader {
	private InputStream stream;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	private SpaceCharFilter filter;

	public InputReader(InputStream stream) {
		this.stream = stream;
	}

	public int read() {
		if (numChars == -1)
			throw new InputMismatchException();
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}

	public int Int() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		int res = 0;
		do {
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}

	public String String() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		StringBuilder res = new StringBuilder();
		do {
			res.appendCodePoint(c);
			c = read();
		} while (!isSpaceChar(c));
		return res.toString();
	}

	public boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}

	public String next() {
		return String();
	}

	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}

	public double readDouble() {
		int c = read();
		while (isSpaceChar(c)) {
			c = read();
		}
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		double res = 0;
		while (!isSpaceChar(c) && c != '.') {
			if (c == 'e' || c == 'E') {
				return res * Math.pow(10, Int());
			}
			if (c < '0' || c > '9') {
				throw new InputMismatchException();
			}
			res *= 10;
			res += c - '0';
			c = read();
		}
		if (c == '.') {
			c = read();
			double m = 1;
			while (!isSpaceChar(c)) {
				if (c == 'e' || c == 'E') {
					return res * Math.pow(10, Int());
				}
				if (c < '0' || c > '9') {
					throw new InputMismatchException();
				}
				m /= 10;
				res += (c - '0') * m;
				c = read();
			}
		}
		return res * sgn;
	}
}

class OutputWriter {
	private final PrintWriter writer;

	public OutputWriter(OutputStream outputStream) {
		writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
	}

	public OutputWriter(Writer writer) {
		this.writer = new PrintWriter(writer);
	}

	public void print(Object... objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0) {
				writer.print(' ');
			}
			writer.print(objects[i]);
		}
		writer.flush();
	}

	public void printLine(Object... objects) {
		print(objects);
		writer.println();
		writer.flush();
	}

	public void close() {
		writer.close();
	}

	public void flush() {
		writer.flush();
	}
}

class IOUtils {
	public static int[] readIntArray(InputReader in, int size) {
		int[] array = new int[size];
		for (int i = 0; i < size; i++)
			array[i] = in.Int();
		return array;
	}
}

/**
 * TO SORT VIA TWO KEYS , HERE IT IS ACCORDING TO ASCENDING ORDER OF FIRST AND
 * DESC ORDER OF SECOND
 * LIST name-list 
 * ARRAYLIST
 * COPY PASTE
 * 
 * Collections.sort(list, (first,second) ->{
		    	if(first.con >second.con)
		    		return -1;
		    	else if(first.con<second.con)
		    		return 1;
		    	else {
		    		if(first.index >second.index)
		    			return 1;
		    		else
		    			return -1;
		    	}
		    	
		    });
 * 
 */

/**
 * 
 

  DECIMAL FORMATTER
Double k = in.readDouble();

System.out.println(k);
DecimalFormat df = new DecimalFormat("#.##");
System.out.print(df.format(k));
out.printLine(k);
* 
* */