Suppose you are car driver and you have to drive a car on a track divided into "N" number of sub-tracks. You are also given the value of "K" i.e. the total kilometers the car can drive on each sub-track. If the car can't cover a sub-track, you can add any unit of Petrol in it. With each unit of petrol added, the total kilometers your car can travel will increase by one unit .
The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case contains two lines of input. The first line contains two space separated integers N and K. The second line contains N space separated integers (A) denoting the distance of each N sub-tracks.
For each test case, you have to print out the minimum unit of Petrol your car requires to cover all the sub-tracks. If no extra unit of petrol is required, print -1.
1 <= T <= 100
1 <= N <= 107
1 <= K <= 1018
1 <= A <= 1018
2 5 4 5 2
1 6 3 5 2
Testcase 2: You are given 5 sub-tracks with different kilometers. Your car can travel 4 km on each sub-track. So, when you come on sub-track 2nd you have to cover 6 km of distance, so you need to have 2 unit of petrol more to cover the distance, for 3rd sub-track, now your car can travel 6 kilometers, so no problem and so on.
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