You are given three positive integers: n, index, and maxSum. You want to construct an array nums (0-indexed) that satisfies the following conditions:
nums.length == nnums[i] is a positive integer where 0 <= i < n.abs(nums[i] - nums[i+1]) <= 1 where 0 <= i < n-1.nums does not exceed maxSum.nums[index] is maximized.Return nums[index] of the constructed array.
Note that abs(x) equals x if x >= 0, and -x otherwise.
\n
Example 1:
\n\n\nInput: n = 4, index = 2, maxSum = 6\nOutput: 2\nExplanation: nums = [1,2,2,1] is one array that satisfies all the conditions.\nThere are no arrays that satisfy all the conditions and have nums[2] == 3, so 2 is the maximum nums[2].\n\n\n
Example 2:
\n\n\nInput: n = 6, index = 1, maxSum = 10\nOutput: 3\n\n\n
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Constraints:
\n\n1 <= n <= maxSum <= 1090 <= index < n给你三个正整数 n、index 和 maxSum 。你需要构造一个同时满足下述所有条件的数组 nums（下标 从 0 开始 计数）：
nums.length == nnums[i] 是 正整数 ，其中 0 <= i < nabs(nums[i] - nums[i+1]) <= 1 ，其中 0 <= i < n-1nums 中所有元素之和不超过 maxSumnums[index] 的值被 最大化返回你所构造的数组中的 nums[index] 。
注意：abs(x) 等于 x 的前提是 x >= 0 ；否则，abs(x) 等于 -x 。
\n\n
示例 1：
\n\n输入：n = 4, index = 2, maxSum = 6\n输出：2\n解释：数组 [1,1,2,1] 和 [1,2,2,1] 满足所有条件。不存在其他在指定下标处具有更大值的有效数组。\n\n\n
示例 2：
\n\n输入：n = 6, index = 1, maxSum = 10\n输出：3\n\n\n
\n\n
提示：
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