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].
/**
 * @author Finn Lidbetter
 */
import java.util.*;
import java.io.*;
import java.awt.geom.*;

public class TaskA {
  public static void main(String[] args) throws IOException {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringBuilder sb = new StringBuilder();

    
    int nTests = Integer.parseInt(br.readLine());
    for (int test=0; test<nTests; test++) {
      int n = Integer.parseInt(br.readLine());
      long[] arr = new long[n];
      String[] s = br.readLine().split(" ");
      for (int i=0; i<n; i++) {
        arr[i] = Long.parseLong(s[i]);
      }
      int lo = 0;
      int hi = 34;
      int best = 34;
      while (lo<=hi) {
        int mid = lo+(hi-lo)/2;
        long maxAdd = (1L<<mid) - 1;
        long maxSoFar = arr[0];
        boolean valid = true;
        for (int i=1; i<n; i++) {
          if (maxSoFar-arr[i]>maxAdd) {
            valid = false;
          }
          if (arr[i]>maxSoFar)
            maxSoFar = arr[i];
        }
        if (valid) {
          best = mid;
          hi = mid-1;
        } else {
          lo = mid+1;
        }
      }
      sb.append(best+"\n");
    }
    System.out.print(sb);
  }
}

class Tools {
  static void shuffleArray(int[] arr) {
    int n = arr.length;
    Random rnd = new Random();
    for(int i=0; i<n; i++) {
      int tmp = arr[i];
      int randomPos = i + rnd.nextInt(n-i);
      arr[i] = arr[randomPos];
      arr[randomPos] = tmp;
    }
  }
  static void shuffleArray(long[] arr) {
    int n = arr.length;
    Random rnd = new Random();
    for(int i=0; i<n; i++) {
      long tmp = arr[i];
      int randomPos = i + rnd.nextInt(n-i);
      arr[i] = arr[randomPos];
      arr[randomPos] = tmp;
    }
  }
}
