#11078Open Credit System

In an open credit system, the students can choose any course they like, but there is a problem. Some of the students are more senior than other students. The professor of such a course has found quite a number of such students who came from senior classes (as if they came to attend the pre requisite course after passing an advanced course). But he wants to do justice to the new students. So, he is going to take a placement test (basically an IQ test) to assess the level of difference among the students. He wants to know the maximum amount of score that a senior student gets more than any junior student. For example, if a senior student gets 80 and a junior student gets 70, then this amount is 10. Be careful that we don’t want the absolute value. Help the professor to figure out a solution.

Input

Input consists of a number of test cases T (less than 20). Each case starts with an integer n which is the number of students in the course. This value can be as large as 100,000 and as low as 2. The next line contains n integers where the i’th integer is the score of the i’th student. All these integers have absolute values less than 150000. If i < j, then i’th student is senior to the j’th student.

Output

For each test case, output the desired number in a new line. Follow the format shown in sample input-output section.

3
2
100 20
4
4 3 2 1
4
1 2 3 4

80
3
-1