Given an array of numbers find all such triplets that satisfy the given condition.
Condition: a[i] < a[j] < a[k] where I < j < k.
it is possible to solve this problem in O (n) time?
This is not home work !!!
The size of the output (worst case) is a lower bound on the complexity.
Since there are possibly O(n^3) such triplets, the complexity cannot be O(n).
For example if the array is sorted from lowest to highest, you will have n choose 3 such triplets which is order of n^3.
If the question refers to finding the number of triplets, here is the most efficient solution I saw: