Non Overlapping Intervals in Rust

Given a collection of intervals, find the maximum number of non-overlapping intervals you can select.

Example 1:

Input: [[1,2],[2,3],[3,4],[1,3]]
Output: 3
Explanation: [1,2], [2, 3] and [3, 4] are non-overlapping.

Note:

1. You may assume the interval's end point is always bigger than its start point.
2. Intervals like [1,2] and [2,3] have borders "touching" but they don't overlap each other.