2008 - Maximum Earnings From Taxi.

Medium

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 <code>ridesi = start_i, end_i, tip_i</code> denotes the <code>i^th</code> passenger requesting a ride from point <code>start_i</code> to point <code>end_i</code> who is willing to give a <code>tip_i</code> dollar tip.

For each passenger i you pick up, you earn <code>end_i - start_i + tip_i</code> 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:

Input: n = 5, rides = \[\[2,5,4],1,5,1]

Output: 7

Explanation: We can pick up passenger 0 to earn 5 - 2 + 4 = 7 dollars.

Example 2:

Input: n = 20, rides = \[\[1,6,1],3,10,2,10,12,3,11,12,2,12,15,2,13,18,1]

Output: 20

Explanation: We will pick up the following passengers:

• Drive passenger 1 from point 3 to point 10 for a profit of 10 - 3 + 2 = 9 dollars.

• Drive passenger 2 from point 10 to point 12 for a profit of 12 - 10 + 3 = 5 dollars.

• Drive passenger 5 from point 13 to point 18 for a profit of 18 - 13 + 1 = 6 dollars.

We earn 9 + 5 + 6 = 20 dollars in total.

Constraints:

• <code>1 <= n <= 10⁵</code>

• <code>1 <= rides.length <= 3 * 10⁴</code>

• rides[i].length == 3

• <code>1 <= start_i< end_i<= n</code>

• <code>1 <= tip_i<= 10⁵</code>