There are some prizes on the X-axis. You are given an integer array prizePositions that is sorted in non-decreasing order, where prizePositions[i] is the position of the ith prize. There could be different prizes at the same position on the line. You are also given an integer k.
You are allowed to select two segments with integer endpoints. The length of each segment must be k. You will collect all prizes whose position falls within at least one of the two selected segments (including the endpoints of the segments). The two selected segments may intersect.
k = 2, you can choose segments [1, 3] and [2, 4], and you will win any prize i that satisfies 1 <= prizePositions[i] <= 3 or 2 <= prizePositions[i] <= 4.Return the maximum number of prizes you can win if you choose the two segments optimally.
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Example 1:
\n\n\nInput: prizePositions = [1,1,2,2,3,3,5], k = 2\nOutput: 7\nExplanation: In this example, you can win all 7 prizes by selecting two segments [1, 3] and [3, 5].\n\n\n
Example 2:
\n\n\nInput: prizePositions = [1,2,3,4], k = 0\nOutput: 2\nExplanation: For this example, one choice for the segments is\n\n[3, 3]and[4, 4],and you will be able to get2prizes. \n
\n
Constraints:
\n\n1 <= prizePositions.length <= 1051 <= prizePositions[i] <= 1090 <= k <= 109 prizePositions is sorted in non-decreasing order.\n\n", "translatedTitle": "两个线段获得的最多奖品", "translatedContent": "
在 X轴 上有一些奖品。给你一个整数数组 prizePositions ，它按照 非递减 顺序排列，其中 prizePositions[i] 是第 i 件奖品的位置。数轴上一个位置可能会有多件奖品。再给你一个整数 k 。
你可以选择两个端点为整数的线段。每个线段的长度都必须是 k 。你可以获得位置在任一线段上的所有奖品（包括线段的两个端点）。注意，两个线段可能会有相交。
k = 2 ，你可以选择线段 [1, 3] 和 [2, 4] ，你可以获得满足 1 <= prizePositions[i] <= 3 或者 2 <= prizePositions[i] <= 4 的所有奖品 i 。请你返回在选择两个最优线段的前提下，可以获得的 最多 奖品数目。
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示例 1：
\n\n\n输入：prizePositions = [1,1,2,2,3,3,5], k = 2\n输出：7\n解释：这个例子中，你可以选择线段 [1, 3] 和 [3, 5] ，获得 7 个奖品。\n\n\n
示例 2：
\n\n\n输入：prizePositions = [1,2,3,4], k = 0\n输出：2\n解释：这个例子中，一个选择是选择线段\n\n[3, 3]和[4, 4] ，获得 2 个奖品。\n
\n\n
提示：
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