You have an array a of length n. For every positive integer x you are going to perform the following operation during the x-th second:

  * Select some distinct indices i_{1}, i_{2}, …, i_{k} which are between 1 and n inclusive, and add 2^{x-1} to each corresponding position of a. Formally, a_{i_{j}} := a_{i_{j}} + 2^{x-1} for j = 1, 2, …, k. Note that you are allowed to not select any indices at all.



You have to make a nondecreasing as fast as possible. Find the smallest number T such that you can make the array nondecreasing after at most T seconds.

Array a is nondecreasing if and only if a_{1} ≤ a_{2} ≤ … ≤ a_{n}.

You have to answer t independent test cases.

Input

The first line contains a single integer t (1 ≤ t ≤ 10^{4}) — the number of test cases.

The first line of each test case contains single integer n (1 ≤ n ≤ 10^{5}) — the length of array a. It is guaranteed that the sum of values of n over all test cases in the input does not exceed 10^{5}.

The second line of each test case contains n integers a_{1}, a_{2}, …, a_{n} (-10^{9} ≤ a_{i} ≤ 10^{9}).

Output

For each test case, print the minimum number of seconds in which you can make a nondecreasing.

Example

Input


3
4
1 7 6 5
5
1 2 3 4 5
2
0 -4


Output


2
0
3

Note

In the first test case, if you select indices 3, 4 at the 1-st second and 4 at the 2-nd second, then a will become [1, 7, 7, 8]. There are some other possible ways to make a nondecreasing in 2 seconds, but you can't do it faster.

In the second test case, a is already nondecreasing, so answer is 0.

In the third test case, if you do nothing at first 2 seconds and select index 2 at the 3-rd second, a will become [0, 0].


import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.LinkedHashMap;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Queue;
import java.util.StringTokenizer;


public class hello2
 {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()); 
           } 
     
           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; 
           } 
         
       }
    
    static String sum (String s)
    {
        String s1 = ""; 
        
        if(s.contains("a"))
            s1+="a";
        if(s.contains("e"))
            s1+="e";
        if(s.contains("i"))
            s1+="i";
        if(s.contains("o"))
            s1+="o";
        if(s.contains("u"))
            s1+="u";
        
            return s1;
            
        
    }
    

    public static HashMap<String, Integer> sortByValue(HashMap<String, Integer> hm) 
    { 
        // Create a list from elements of HashMap 
        List<Map.Entry<String, Integer> > list = 
               new LinkedList<Map.Entry<String, Integer> >(hm.entrySet()); 
  
        // Sort the list 
        Collections.sort(list, new Comparator<Map.Entry<String, Integer> >() { 
            public int compare(Map.Entry<String, Integer> o1,  
                               Map.Entry<String, Integer> o2) 
            { 
                return (o1.getValue()).compareTo(o2.getValue()); 
            } 
        }); 
          
        // put data from sorted list to hashmap  
        HashMap<String, Integer> temp = new LinkedHashMap<String, Integer>(); 
        for (Map.Entry<String, Integer> aa : list) { 
            temp.put(aa.getKey(), aa.getValue()); 
        } 
        return temp; 
    } 
    
    
public static void main(String args[])
    {
        FastReader input =new FastReader();
      
       
        int t = input.nextInt();
        
        while(t-->0)
        {
        	
        	int  n  = input.nextInt();
        	
        	long a[] = new long[n];
        	for(int i=0;i<n;i++)
        	{
        		a[i] = input.nextLong();
        	}
        	long max =0;
        	
        	for(int i=0;i<n-1;i++)
        	{
        		if(a[i+1]-a[i]<0)
        		{
        			
        			max = Math.max(max, a[i]-a[i+1]);
        		
        			a[i+1] = a[i];
        		}
        	}
        	long ans=0;
        	if(max>0)
        		 ans = (long)(Math.log(max)/Math.log(2)) + 1;
        	
        	System.out.println(ans);
        	
        }
        
        
        
    }
        	  

public static boolean range(int x,int y,int n,int m)
{
	if(x<0 || x>n-1 || y<0 || y>m-1)
		return false;
	
	
	return true;
}
   
public static int even_element(int b[],int n)
{
	int c[] = new int[n/2 + 1];
	int l=0;
	for(int i=1;i<n;i+=2)
	{
		c[l] = b[i];
		
		System.out.print(c[l] + " ");
		l++;
	}
	System.out.println();
	if(c.length!=1)
	{
		return even_element(c,n/2);
	}
	else
		return c[0];
}

      
       	
        	
        	
 
    
    static boolean isPrime(int n) 
    { 
        // Corner case 
        if (n <= 1) 
            return false; 
  
        // Check from 2 to n-1 
        for (int i = 2; i < n; i++) 
            if (n % i == 0) 
                return false; 
  
        return true; 
    } 
 }
 
 
class Pair
{
    int x,y;
    Pair(int x,int y)
    {
        this.x=x;
        this.y=y;
    }
}
 
