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

public class Solution{
    // int t=Integer.parseInt(br.readLine());
        // while(t-->0){
        //     int n=Integer.parseInt(strs[0]);
        //     String line=br.readLine();
        //     String[] strs=line.trim().split(" ");
        //     int[] arr=new int[n];
        //     for(int i=0;i<v;i++){
        //         arr[i]=Integer.parseInt(strs[i]);
        //     }
        // }
    public static class pair{
        long x;
        long y;
    }
    public static class FastScanner {
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st=new StringTokenizer("");
        public String next() {
			while (!st.hasMoreElements())
				try {
					st=new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			return st.nextToken();
		}
		public int nextInt() {
			return Integer.parseInt(next());
		}
		public long nextLong() {
			return Long.parseLong(next());
		}
		public int[] readArray(int n) {
			int[] a=new int[n];
			for (int i=0; i<n; i++) {
				a[i]=nextInt();
			}
			return a;
		}public double nextDouble() {
			return Double.parseDouble(next());
		}
    }

    public static void main(String[] args) throws IOException{
        FastScanner fs=new FastScanner();
		int t=fs.nextInt();
		PrintWriter out=new PrintWriter(System.out);
        while(t-->0){
            int n=fs.nextInt();
            int[] arr=fs.readArray(n);
            long x=0;
            long sum=0;
            long max=arr[0];
            for(int i=1;i<n;i++){
                if(arr[i]<max){
                    if(sum+arr[i]<max){
                        while(sum+arr[i]<max){
                            x++;
                            sum+=Math.pow(2,x-1);
                        }
                    }
                }
                max=Math.max(max,arr[i]);
            }
            System.out.println(x);
        }
        out.close();
    } 
    public static long calc(long n,long b){
        if(b==1){
            return Long.MAX_VALUE;
        }
        long val=(long)Math.ceil(n/b);
        long p=2;
        long ans=val;
        while(val!=0){
            val=(long)Math.ceil((long)n/(long)Math.pow(b,p));
            p++;
            ans+=val;
        }
        return ans;
    }
    public static long quala(long b){
        long val=(long)Math.ceil(Math.pow(1+(8*b),0.5));
        if(val%2==0){
            long va=(long)(2+val)/(long)2;
            return va;
        }else{
            long va=(long)(1+val)/(long)2;
            return va;
        }
    }
    public static String find(int a,int b){
        if(a==3){
            if(b==1){
                return "abb";
            }else if(b==2){
                return "bab";
            }else{
                return "bba";
            }
        }
        int v=((a-1)*(a-2))/2;
        if(b<=v){
            String s=find(a-1,b);
            StringBuffer sb=new StringBuffer(s);
            int diff=a-s.length();
            while(diff-->0){
                sb.insert(0,"a");
            }
            return sb.toString();
        }else{
            int diff=b-v;
            StringBuffer sb=new StringBuffer();
            sb.append("b");
            for(int i=0;i<a-diff-1;i++){
                sb.append("a");
            }
            sb.append("b");
            for(int i=0;i<diff-1;i++){
                sb.append("a");
            }
            return sb.toString();
        }
        // return new String("a"+s);
    }
    public static long z(long val){
        long p=1;
        while(val!=0){
            long rem=val%10;
            p*=rem;
            val=val/10;
        }
        return p;
    }
    public static int[] soe(int n){
        int[] arr=new int[n];
        arr[0]=0;
        for(int i=1;i<n;i++){
            if(arr[i]==0){
                for(int j=(2*(i+1))-1;j<n;j=j+i+1){
                    arr[j]=1;
                }
            }
        }
        return arr;
    }
    public static int[][] floydWarshall(int graph[][],int V){ 
        int dist[][] = new int[V][V]; 
        int i, j, k; 
        for (i = 0; i < V; i++){ 
            for (j = 0; j < V; j++){
                dist[i][j] = graph[i][j]; 
            }
        }
        for (k = 0; k < V; k++) { 
            for (i = 0; i < V; i++){ 
                for (j = 0; j < V; j++){ 
                    if (dist[i][k] + dist[k][j] < dist[i][j]){ 
                        dist[i][j] = dist[i][k] + dist[k][j]; 
                    }
                } 
            } 
        }
        return dist;
    } 
    // public static class Comp implements Comparator<pair>{
    //     public int compare(pair a,pair b){
    //         if(a.x!=b.x){
    //             return a.x-b.x;
    //         }else{
    //             return a.y-b.y;
    //         }
    //     }
    // }
    public static int gcd(int a,int b){
        if (b == 0) 
        return a; 
        return gcd(b, a % b);
    }
    public static int lcm(int a,int b){
        int x=Math.max(a,b);
        int y=Math.min(a,b);
        long ans=x;
        while(ans%y!=0){
            ans+=x;
        }
        if(ans>Integer.MAX_VALUE){
            return -1;
        }
        return (int)ans;
    }
    public static long fact(int n){
        long ans=1;
        for(int i=1;i<=n;i++){
            ans*=i;
        }
        return ans;
    }
}