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].
//package MyJavaProject;
 
import java.util.*;
import java.io.BufferedReader;
import java.io.IOException; 
import java.io.InputStreamReader;
import java.lang.Math;
import java.util.concurrent.TimeUnit;
import java.util.stream.Collectors;
import java.io.*;
import java.math.BigInteger; 
import java.io.PrintWriter;  

public class Test 
{
	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 void print(String s)
	{
		System.out.print(s);
	}
	static void print(boolean s)
	{
		System.out.print(s);
	}
	
	static boolean isPrime(int n) 
	{ 
		// Corner cases 
		if (n <= 1) 
			return false; 
		if (n <= 3) 
			return true; 

		// This is checked so that we can skip 
		// middle five numbers in below loop 
		if (n % 2 == 0 || n % 3 == 0) 
			return false; 

		for (int i = 5; i * i <= n; i = i + 6) 
			if (n % i == 0 || n % (i + 2) == 0) 
				return false; 

		return true; 
	} 

	
	
	
	
	
	public static void main(String argsp[]) throws Exception
	{
		FastReader f=new FastReader();
		BufferedWriter w=new BufferedWriter(new OutputStreamWriter(System.out));
		 
		int t=f.nextInt();
		while(t--!=0)
		{
			int n;
			n=f.nextInt();
			long a[]=new long[n];
			for(int i=0;i<n;i++)
				a[i]=f.nextLong();
			long c=a[0];
			int diff=0;
			for(int i=0;i<n;i++)
			{
				if(c<a[i])
					c=a[i];
				else
					diff=(int)Math.max(diff, c-a[i]);
			}
			//w.write(diff+" ");
			if(diff!=0)
			w.write((Integer.toString(diff,2)).length()+"\n");
			else
				w.write(0+"\n");
		}
		
		w.flush();
	}
}
/*
 * 2 1 -1
 * 2 3 1
 * 
 * 2 3 5
 * 
 */
	

	
	
	
	
	
	
	
	
	
	