java.lang.Object
g2001_2100.s2008_maximum_earnings_from_taxi.Solution

public class Solution extends java.lang.Object
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 rides[i] = [starti, endi, tipi] denotes the ith 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:

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:

  • 1 <= n <= 105
  • 1 <= rides.length <= 3 * 104
  • rides[i].length == 3
  • 1 <= starti < endi <= n
  • 1 <= tipi <= 105
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    long
    maxTaxiEarnings(int n, int[][] rides)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • maxTaxiEarnings

      public long maxTaxiEarnings(int n, int[][] rides)