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.*;
import java.util.*;

public class Main {
   private static void solver(InputReader sc, PrintWriter out) throws Exception {
        int test = sc.nextInt();
        for (int ii = 0; ii < test; ii++) {
            int  n = sc.nextInt();
            Long arr[] = new Long[n];
            for(int i=0; i<n; i++) arr[i] = sc.nextLong();
            long max =0;
            long curmax=Long.MIN_VALUE;
            for(int i=0; i<n; i++){
                if(arr[i] > curmax)
                    curmax = arr[i];
                if(curmax-arr[i] > max)
                    max = curmax-arr[i];
            }
            int count=0;
           while(max!=0){
               count++;
               max /=2;
           }
           out.println(count);
        }
    }
    private static boolean isprime(int x){
        if(x==2)
            return true;
        int sqs = (int)Math.sqrt(x);
        for(int i=2; i<=sqs; i++){
            if(x%i==0)
                return false;
        }
        return true;
    }

    private static int gcd (int a, int b) {
        if (b == 0)
            return a;
        else
            return gcd (b, a % b);
    }
    private static int gcd (int a, int b, int c) {
        int gcd1 = gcd(a,b);
        return gcd(gcd1,c);
    }

    private static long helper(long x){
        long ans = (x * (x-1))/2;
        return ans;
    }
    public static void main(String[] args) throws Exception {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        solver(in,out);
        out.close();
    }
    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }
        public long nextLong() {
            return Long.parseLong(next());
        }
        public int[] readIntArray(int n){
            int arr[] = new int[n];
            for(int i=0;i<n;i++) arr[i] = nextInt();
            return arr;
        }
    }
}
class Pair {
    int x;
    char y;

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

    @Override
    public boolean equals(Object o) {
        Pair pair = (Pair) o;
        return this.x < pair.x && this.y == pair.y;
    }

    @Override
    public int hashCode() {
        return Objects.hash(x, y);
    }
}
class Twos{
    int x;
    int y;
    Twos(int x, int y){
        this.x = x;
        this.y = y;
    }
}