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.math.BigInteger;
import java.util.*;

import java.io.*;

import static java.lang.Math.*;

public class Test {
    FastIO sc;
    static int n;
    static int[] dp;
    static int M = 1000000007;

    void solve() throws Exception {
        int t = sc.nextInt();
        while (t-- != 0) {
            int n = sc.nextInt();
            int[] a = new int[n];
            for (int i = 0; i < a.length; i++) {
                a[i] = sc.nextInt();
            }
            int res = 0;
            for (int i = 1; i < a.length; i++) {
                if (a[i] < a[i - 1]) {
                    int x = a[i - 1] - a[i];
                    x = (int) ((Math.log(x)) / Math.log(2) + 1);
                    res = Math.max(x, res);
                    a[i] = a[i - 1];
                }
            }
            System.out.println(res);
        }
    }

    void run() {
        try {
            sc = new FastIO();
            solve();
            sc.close();
        } catch (Exception e) {
            e.printStackTrace();
            System.exit(abs(-1));
        }
    }

    public static void main(String[] args) {
        try {
            Locale.setDefault(Locale.US);
        } catch (Exception ignore) {
        }
        new Test().run();
    }

    class FastIO extends PrintWriter {
        private BufferedReader in;
        private StringTokenizer stok;

        FastIO() {
            super(System.out);
            in = new BufferedReader(new InputStreamReader(System.in));
        }

        FastIO(String s) throws FileNotFoundException {
            super("".equals(s) ? "output.txt" : s + ".out");
            in = new BufferedReader(new FileReader("".equals(s) ? "input.txt" : s + ".in"));
        }

        @Override
        public void close() {
            super.close();
            try {
                in.close();
            } catch (IOException ignored) {
            }
        }

        String next() {
            while (stok == null || !stok.hasMoreTokens()) {
                try {
                    stok = new StringTokenizer(in.readLine());
                } catch (Exception e) {
                    return null;
                }
            }
            return stok.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            try {
                return in.readLine();
            } catch (IOException e) {
                return null;
            }
        }

        char[] nextCharArray() {
            return next().toCharArray();
        }
    }

    class Pair {
        int mon, fac;

        Pair(int mon, int fac) {
            this.mon = mon;
            this.fac = fac;
        }
    }

    class IntArray {
        private int capacity;
        private int[] data;
        private int size = 0;

        IntArray(int capacity) {
            this.capacity = capacity;
            this.data = new int[capacity];
        }

        IntArray() {
            this(16);
        }

        int get(int index) {
            return data[index];
        }

        void add(int x) {
            if (size == capacity) {
                int[] newData = new int[capacity * 2];
                System.arraycopy(data, 0, newData, 0, capacity);
                data = newData;
                capacity *= 2;
            }
            data[size++] = x;
        }

    }

    void randomShuffle(int[] a) {
        Random random = new Random();
        for (int i = 1; i < a.length; i++) {
            int x = random.nextInt(i + 1);
            int xchg = a[i];
            a[i] = a[x];
            a[x] = xchg;
        }
    }

    static int even(int n) {

        return (n & 1);
    }
}