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 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 and Description
Solution()

Method Summary

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

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solution

public Solution()

Method Detail

maxPoints

public long maxPoints(int[][] points)