Omkar is building a waterslide in his water park, and he needs your help to ensure that he does it as efficiently as possible.

Omkar currently has n supports arranged in a line, the i-th of which has height a_i. Omkar wants to build his waterslide from the right to the left, so his supports must be nondecreasing in height in order to support the waterslide. In 1 operation, Omkar can do the following: take any contiguous subsegment of supports which is nondecreasing by heights and add 1 to each of their heights. 

Help Omkar find the minimum number of operations he needs to perform to make his supports able to support his waterslide!

An array b is a subsegment of an array c if b can be obtained from c by deletion of several (possibly zero or all) elements from the beginning and several (possibly zero or all) elements from the end.

An array b_1, b_2, ..., b_n is called nondecreasing if b_i≤ b_{i+1} for every i from 1 to n-1.

Input

Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 100). Description of the test cases follows.

The first line of each test case contains an integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of supports Omkar has.

The second line of each test case contains n integers a_{1},a_{2},...,a_{n} (0 ≤ a_{i} ≤ 10^9) — the heights of the supports.

It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5.

Output

For each test case, output a single integer — the minimum number of operations Omkar needs to perform to make his supports able to support his waterslide.

Example

Input


3
4
5 3 2 5
5
1 2 3 5 3
3
1 1 1


Output


3
2
0

Note

The subarray with which Omkar performs the operation is bolded.

In the first test case:

  * First operation:

[5, 3, 2, 5] → [5, 3, 3, 5]

  * Second operation:

[5, 3, 3, 5] → [5, 4, 4, 5]

  * Third operation:

[5, 4, 4, 5] → [5, 5, 5, 5]




In the third test case, the array is already nondecreasing, so Omkar does 0 operations.
import java.util.*;
import java.io.*;
public class vivek{    
    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(); 
        } 

        char nextChar()
        {
            return next().charAt(0);
        }

        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; 
        } 

        int[] nextArray(int rows)
        {
            int arr[] = new int[rows];            
            for (int i = 0; i < rows; i++)
            arr[i] = nextInt();
            return arr;
        }

        long[] nextLongArray(int rows)
        {
            long arr[] = new long[rows];            
            for (int i = 0; i < rows; i++)
            arr[i] = nextLong();
            return arr;
        }

        char[] nextCharArray(int rows)
        {
            char arr[] = new char[rows];
            for (int i = 0; i < rows; i++)
            arr[i] = next().charAt(0);
            return arr;
        }

        int[][] nextMatrix(int rows, int columns)
        {
            int mat[][] = new int[rows][columns];
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < columns; j++)
                {
                    mat[i][j] = nextInt();
                }
            }
            return mat;
        }
    }
    public static void main(String args[]){
        FastReader sc=new FastReader();
        PrintWriter p=new PrintWriter(System.out);
        int t=sc.nextInt();
        while(t-->0){
            int n=sc.nextInt();
            long a[]=new long[n];
            a=sc.nextLongArray(n);
            long min=a[0];
            long sum=0;
            long max=0;
            long diff=0;
            for(int i=0;i<n-1;i++){
                sum+=Math.max(0,a[i]-a[i+1]);
            }
            p.println(sum);
        }
        p.flush();
    }
}