A. Plus One on the Subsettime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputPolycarp got an array of integers a[1 \dots n] as a gift. Now he wants to perform a certain number of operations (possibly zero) so that all elements of the array become the same (that is, to become a_1=a_2=\dots=a_n). In one operation, he can take some indices in the array and increase the elements of the array at those indices by 1.For example, let a=[4,2,1,6,2]. He can perform the following operation: select indices 1, 2, and 4 and increase elements of the array in those indices by 1. As a result, in one operation, he can get a new state of the array a=[5,3,1,7,2].What is the minimum number of operations it can take so that all elements of the array become equal to each other (that is, to become a_1=a_2=\dots=a_n)?InputThe first line of the input contains a single integer t (1 \le t \le 10^4)  — the number of test cases in the test.The following are descriptions of the input test cases.The first line of the description of each test case contains one integer n (1 \le n \le 50)  — the array a.The second line of the description of each test case contains n integers a_1, a_2, \dots, a_n (1 \le a_i \le 10^9)  — elements of the array a.OutputFor each test case, print one integer  — the minimum number of operations to make all elements of the array a equal.ExampleInput
3
6
3 4 2 4 1 2
3
1000 1002 998
2
12 11
Output
3
4
1
NoteFirst test case:   a=[3,4,2,4,1,2] take a_3, a_5 and perform an operation plus one on them, as a result we get a=[3,4,3,4,2,2].  a=[3,4,3,4,2,2] we take a_1, a_5, a_6 and perform an operation on them plus one, as a result we get a=[4,4,3,4,3,3].  a=[4,4,3,4,3,3] we take a_3, a_5, a_6 and perform an operation on them plus one, as a result we get a=[4,4,4,4,4,4]. There are other sequences of 3 operations, after the application of which all elements become equal.Second test case:   a=[1000,1002,998] 2 times we take a_1, a_3 and perform an operation plus one on them, as a result we get a=[1002,1002,1000].  a=[1002,1002,1000] also take a_3 2 times and perform an operation plus one on it, as a result we get a=[1002,1002,1002]. Third test case:   a=[12,11] take a_2 and perform an operation plus one on it, as a result we get a=[12,12]. 
3
6
3 4 2 4 1 2
3
1000 1002 998
2
12 11

3 4 1 
['math', '*800']