How to Solve Max Value of Equation Problem
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Max Value of Equation
You are given an array points containing the coordinates of points on a 2D plane, sorted by the x-values, where points[i] = [xi, yi] such that xi < xj for all 1 <= i < j <= points.length. You are also...
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Understanding the Max Value of Equation Problem
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Problem Statement
You are given an array points containing the coordinates of points on a 2D plane, sorted by the x-values, where points[i] = [xi, yi] such that xi < xj for all 1 <= i < j <= points.length. You are also given an integer k. Return the maximum value of the equation yi + yj + |xi - xj| where |xi - xj| <= k and 1 <= i < j <= points.length. It is guaranteed that there exists at least one pair of points that satisfy the constraint |xi - xj| <= k.
Max Value of Equation
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Examples
points = [[1,3],[2,0],[5,10],[6,-10]], k = 1
4
The first two points satisfy the condition |xi - xj| <= 1 and if we calculate the equation we get 3 + 0 + |1 - 2| = 4. Third and fourth points also satisfy the condition and give a value of 10 + -10 + |5 - 6| = 1. No other pairs satisfy the condition, so we return the max of 4 and 1.
points = [[0,0],[3,0],[9,2]], k = 3
3
Only the first two points have an absolute difference of 3 or less in the x-values, and give the value of 0 + 0 + |0 - 3| = 3.
Constraints
2 <= points.length <= 105
points[i].length == 2
108 <= xi, yi <= 108
0 <= k <= 2 * 108
xi < xj for all 1 <= i < j <= points.length
xi form a strictly increasing sequence.
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