I guess most of you would have seen the algorithm for the following problem:
Input: Set of intervals(time)
Output: Partion of intervals into minimum subsets such that no interval in a subset overlaps.
The Algorithm: Sort intervals by start times and look them in this order, put each interval in the first subset in which it can(without overlap).
My Question: Is the following approach wrong??
My Approach: Sort intervals by ending times, put each interval in the first subset in which it can(without overlap).
Please help. This approach is not given anywhere. I guess a counter example will do, but I can't really find any.