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Maximum Earnings From Taxi

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Problem Statement

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] = [start _i , end _i , tip _i ] denotes the i ^th passenger requesting a ride from point start _i to point end _i who is willing to give a tip _i dollar tip.

For each passenger i you pick up, you earn end _i - start _i + tip _i 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.

Examples

Example 1
Input: n = 5, rides = [ [2,5,4] ,[1,5,1]]
Output: 7
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
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

1 <= n <= 10 ^5
1 <= rides.length <= 3 * 10 ^4
rides[i].length == 3
1 <= start _i < end _i <= n
1 <= tip _i <= 10 ^5
🤔
Medium
Difficulty
Topic Info
ModuleDSA
CategoryArray
Sub-topicHash Table
Tags
arrayhash tablebinary searchdynamic programmingsorting
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