Package g1901_2000.s1937_maximum_number_of_points_with_cost

Class Solution

java.lang.Object
g1901_2000.s1937_maximum_number_of_points_with_cost.Solution
public class Solution extends java.lang.Object
1937 - Maximum Number of Points with Cost.

Medium

You are given an m x n integer matrix points ( 0-indexed ). Starting with 0 points, you want to maximize the number of points you can get from the matrix.

To gain points, you must pick one cell in each row. Picking the cell at coordinates (r, c) will add points[r][c] to your score.

However, you will lose points if you pick a cell too far from the cell that you picked in the previous row. For every two adjacent rows r and r + 1 (where 0 <= r < m - 1), picking cells at coordinates (r, c1) and (r + 1, c2) will subtract abs(c1 - c2) from your score.

Return the maximum number of points you can achieve.

abs(x) is defined as:

  • x for x >= 0.
  • -x for x < 0.

Example 1:

Input: points = [[1,2,3],[1,5,1],[3,1,1]]

Output: 9

Explanation:

The blue cells denote the optimal cells to pick, which have coordinates (0, 2), (1, 1), and (2, 0).

You add 3 + 5 + 3 = 11 to your score.

However, you must subtract abs(2 - 1) + abs(1 - 0) = 2 from your score.

Your final score is 11 - 2 = 9.

Example 2:

Input: points = [[1,5],[2,3],[4,2]]

Output: 11

Explanation:

The blue cells denote the optimal cells to pick, which have coordinates (0, 1), (1, 1), and (2, 0).

You add 5 + 3 + 4 = 12 to your score.

However, you must subtract abs(1 - 1) + abs(1 - 0) = 1 from your score.

Your final score is 12 - 1 = 11.

Constraints:

  • m == points.length
  • n == points[r].length
  • 1 <= m, n <= 105
  • 1 <= m * n <= 105
  • 0 <= points[r][c] <= 105

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    long
    maxPoints(int[][] points)
     

    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

    • maxPoints

      public long maxPoints(int[][] points)