Yesterday I had a Samsung test. There a question which I wasn't able to solve. The question was like this

You have given n student with their id. Students are standing in a queue. You have also an integer k. You can remove the students such that their id follows this rule:

• arr[i-1]+k=arr[i]=arr[i+1]-k .(All three students will be removed from the queue).

You have to remove these students such that the minimum number of student will be remaining at the end.

Constraints: 1<=t<=20 3<=n<=100. 1<=arr[i]<=10^6. 1<=k<=10^6.

Input : 2 6 1 3 4 5 6 7 5 5 1 1 2 3 4 5

Output: 0 2

Explanation: In the first test case, If we remove 5 6 7 then the remaining array will be 3 4 5. Now again I can remove these students. So the minimum number of student remaining will be 0.

In second test case, we can remove more than three students from the queue. So the remaining number of students will be 2.