Nezzar has n balls, numbered with integers 1, 2, …, n. Numbers a_1, a_2, …, a_n are written on them, respectively. Numbers on those balls form a non-decreasing sequence, which means that a_i ≤ a_{i+1} for all 1 ≤ i < n.

Nezzar wants to color the balls using the minimum number of colors, such that the following holds.

  * For any color, numbers on balls will form a strictly increasing sequence if he keeps balls with this chosen color and discards all other balls. 



Note that a sequence with the length at most 1 is considered as a strictly increasing sequence.

Please help Nezzar determine the minimum number of colors.

Input

The first line contains a single integer t (1 ≤ t ≤ 100) — the number of testcases. 

The first line of each test case contains a single integer n (1 ≤ n ≤ 100).

The second line of each test case contains n integers a_1,a_2,…,a_n (1 ≤ a_i ≤ n). It is guaranteed that a_1 ≤ a_2 ≤ … ≤ a_n.

Output

For each test case, output the minimum number of colors Nezzar can use.

Example

Input


5
6
1 1 1 2 3 4
5
1 1 2 2 3
4
2 2 2 2
3
1 2 3
1
1


Output


3
2
4
1
1

Note

Let's match each color with some numbers. Then:

In the first test case, one optimal color assignment is [1,2,3,3,2,1].

In the second test case, one optimal color assignment is [1,2,1,2,1].
// package cf;

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

public class A {
	public static void main(String args[]) {
		FastScanner fs = new FastScanner();
		int t = fs.nextInt();
		while(t-- > 0) {
			int n = fs.nextInt();
			int a[] = fs.nextArray(n);
			int cnt[] = new int[101];
			for(int i=0; i < 101; i++)
				cnt[i] = 0;
			for(int i : a)
				cnt[i]++;
			System.out.println(fs.max(cnt));
		}
	}
	
	
	
	
	
	
    static class FastScanner 
    { 
        BufferedReader br; 
        StringTokenizer st; 
  
        public FastScanner() 
        { 
            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()); 
        } 
  
        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 int[] nextArray(int n) {
            int a[] = new int[n];
            for(int i =0; i < n; i++) a[i]=this.nextInt();
            return a;
        }
        public int max(int a[]) {
        	int mx = Integer.MIN_VALUE;
        	for(int i : a)
        		mx = Math.max(i, mx);
        	return mx;
        }
        public int count(int a[], int val) {
        	int ans =0;
        	for(int i : a)
        		ans += val == i ? 1 : 0;
        	return ans;
        }
        public int min(int a[]) {
        	int mn = Integer.MAX_VALUE;
        	for(int i : a)
        		mn = Math.min(i, mn);
        	return mn;
        }
        public void randomShuffleSort(int []a) {
            for(int i =0; i < (a.length)/2; i++) {
                int temp=a[i];
                a[i]=a[(a.length)-1-i];
                a[(a.length)-1-i]=temp;
            }
            this.fine_sort(a);
        }
        public void fine_sort(int a[]) {
            ArrayList<Integer> A = new ArrayList<>();
            for(int i : a) A.add(i);
            Collections.sort(A);
            for(int i=0; i < a.length; i++) {
                a[i]=A.get(i);
            }
        } 
    }
   
}
