You are given an integer array nums.
From any index i, you can jump to another index j under the following rules:
j where j > i is allowed only if nums[j] < nums[i].j where j < i is allowed only if nums[j] > nums[i].For each index i, find the maximum value in nums that can be reached by following any sequence of valid jumps starting at i.
Return an array ans where ans[i] is the maximum value reachable starting from index i.
\n
Example 1:
\n\nInput: nums = [2,1,3]
\n\nOutput: [2,2,3]
\n\nExplanation:
\n\ni = 0: No jump increases the value.i = 1: Jump to j = 0 as nums[j] = 2 is greater than nums[i].i = 2: Since nums[2] = 3 is the maximum value in nums, no jump increases the value.Thus, ans = [2, 2, 3].
Example 2:
\n\nInput: nums = [2,3,1]
\n\nOutput: [3,3,3]
\n\nExplanation:
\n\ni = 0: Jump forward to j = 2 as nums[j] = 1 is less than nums[i] = 2, then from i = 2 jump to j = 1 as nums[j] = 3 is greater than nums[2].i = 1: Since nums[1] = 3 is the maximum value in nums, no jump increases the value.i = 2: Jump to j = 1 as nums[j] = 3 is greater than nums[2] = 1.Thus, ans = [3, 3, 3].
\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 109给你一个整数数组 nums。
从任意下标 i 出发，你可以根据以下规则跳跃到另一个下标 j：
nums[j] < nums[i] 时，才允许跳跃到下标 j，其中 j > i。nums[j] > nums[i] 时，才允许跳跃到下标 j，其中 j < i。对于每个下标 i，找出从 i 出发且可以跳跃 任意 次，能够到达 nums 中的 最大值 是多少。
返回一个数组 ans，其中 ans[i] 是从下标 i 出发可以到达的最大值。
\n\n
示例 1:
\n\n输入: nums = [2,1,3]
\n\n输出: [2,2,3]
\n\n解释:
\n\ni = 0：没有跳跃方案可以获得更大的值。i = 1：跳到 j = 0，因为 nums[j] = 2 大于 nums[i]。i = 2：由于 nums[2] = 3 是 nums 中的最大值，没有跳跃方案可以获得更大的值。因此，ans = [2, 2, 3]。
示例 2:
\n\n输入: nums = [2,3,1]
\n\n输出: [3,3,3]
\n\n解释:
\n\ni = 0：向后跳到 j = 2，因为 nums[j] = 1 小于 nums[i] = 2，然后从 i = 2 跳到 j = 1，因为 nums[j] = 3 大于 nums[2]。i = 1：由于 nums[1] = 3 是 nums 中的最大值，没有跳跃方案可以获得更大的值。i = 2：跳到 j = 1，因为 nums[j] = 3 大于 nums[2] = 1。因此，ans = [3, 3, 3]。
\n\n
提示:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 109i, forward jumps go only to smaller values; backward jumps go only to larger values.",
"The maximum reachable value from i is the maximum value in the connected component reachable under these jump rules.",
"You can find connected ranges by looking at prefix maximums and suffix minimums, a cut happens where all values to the left are <= all values to the right."
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