Maximum Earnings From Taxi

There are n points on a road you are driving your taxi on. The n points on the road are labeled from 1 to n in the direction you are going, and you want to drive from point 1 to point n to make money by picking up passengers. You cannot change the direction of the taxi.

The passengers are represented by a 0-indexed 2D integer array rides, where rides[i] = [starti, endi, tipi] denotes the i^th passenger requesting a ride from point starti to point endi who is willing to give a tipi dollar tip.

For each passenger i you pick up, you earn endi - starti + tipi dollars. You may only drive at most one passenger at a time.

Given n and rides, return the maximum number of dollars you can earn by picking up the passengers optimally.

Note: You may drop off a passenger and pick up a different passenger at the same point.

Example 1
Inputn = 5, rides = [[2,5,4],[1,5,1]]
Output7
We can pick up passenger 0 to earn 5 - 2 + 4 = 7 dollars.
Example 2
Inputn = 20, rides = [[1,6,1],[3,10,2],[10,12,3],[11,12,2],[12,15,2],[13,18,1]]
Output20
Picking passengers 1, 2, and 5 earns 9 + 5 + 6 = 20 dollars in total.

Constraints

  • 1 <= n <= 10^5
  • 1 <= rides.length <= 3 * 10^4
  • rides[i].length == 3
  • 1 <= starti < endi <= n
  • 1 <= tipi <= 10^5

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