An array is given, and an index present in it.

A window must be chosen such that it includes the index, has this component maximized — sum(a[i]...a[j])*(j-i+1), but the component must be equal to or less than the threshold (sum(a[i]...a[j])*(j-i+1) <= threshold).

How we can solve this question optimally?

One example of the problem:

Input N: 8 Arr[]: [2,-3,-4,5,5,6,7,8] Ind: 4 Threshold = 20

Output [5,5]