{ "data": { "question": { "questionId": "1622", "questionFrontendId": "1499", "categoryTitle": "Algorithms", "boundTopicId": 303612, "title": "Max Value of Equation", "titleSlug": "max-value-of-equation", "content": "

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.

\n\n

Return the maximum value of the equation yi + yj + |xi - xj| where |xi - xj| <= k and 1 <= i < j <= points.length.

\n\n

It is guaranteed that there exists at least one pair of points that satisfy the constraint |xi - xj| <= k.

\n\n

 

\n

Example 1:

\n\n
\nInput: points = [[1,3],[2,0],[5,10],[6,-10]], k = 1\nOutput: 4\nExplanation: 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.\nNo other pairs satisfy the condition, so we return the max of 4 and 1.\n
\n\n

Example 2:

\n\n
\nInput: points = [[0,0],[3,0],[9,2]], k = 3\nOutput: 3\nExplanation: 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.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "满足不等式的最大值", "translatedContent": "

给你一个数组 points 和一个整数 k 。数组中每个元素都表示二维平面上的点的坐标,并按照横坐标 x 的值从小到大排序。也就是说 points[i] = [xi, yi] ,并且在 1 <= i < j <= points.length 的前提下, xi < xj 总成立。

\n\n

请你找出 yi + yj + |xi - xj|最大值,其中 |xi - xj| <= k1 <= i < j <= points.length

\n\n

题目测试数据保证至少存在一对能够满足 |xi - xj| <= k 的点。

\n\n

 

\n\n

示例 1:

\n\n
输入:points = [[1,3],[2,0],[5,10],[6,-10]], k = 1\n输出:4\n解释:前两个点满足 |xi - xj| <= 1 ,代入方程计算,则得到值 3 + 0 + |1 - 2| = 4 。第三个和第四个点也满足条件,得到值 10 + -10 + |5 - 6| = 1 。\n没有其他满足条件的点,所以返回 4 和 1 中最大的那个。
\n\n

示例 2:

\n\n
输入:points = [[0,0],[3,0],[9,2]], k = 3\n输出:3\n解释:只有前两个点满足 |xi - xj| <= 3 ,代入方程后得到值 0 + 0 + |0 - 3| = 3 。\n
\n\n

 

\n\n

提示:

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