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Find All K-Distant Indices in an Array

Easy

You receive a 0-indexed integer array nums and two integers key and k. A k-distant index is an index i of nums for which there exists at least one index j such that |i - j| <= k and nums[j] == key.

Find and provide a list of all k-distant indices sorted in increasing order.

Example 1

Input: nums = [3,4,9,1,3,9,5], key = 9, k = 1

Output: [1,2,3,4,5,6]

Explanation: Here, nums[2] == key and nums[5] == key.

  • For index 0, |0 - 2| > k and |0 - 5| > k, so there is no j where |0 - j| <= k and nums[j] == key. Thus, 0 is not a k-distant index.

  • For index 1, |1 - 2| <= k and nums[2] == key, so 1 is a k-distant index.

  • For index 2, |2 - 2| <= k and nums[2] == key, so 2 is a k-distant index.

  • For index 3, |3 - 2| <= k and nums[2] == key, so 3 is a k-distant index.

  • For index 4, |4 - 5| <= k and nums[5] == key, so 4 is a k-distant index.

  • For index 5, |5 - 5| <= k and nums[5] == key, so 5 is a k-distant index.

  • For index 6, |6 - 5| <= k and nums[5] == key, so 6 is a k-distant index.

Thus, we provide [1,2,3,4,5,6] which is sorted in increasing order.

Example 2

Input: nums = [2,2,2,2,2], key = 2, k = 2

Output: [0,1,2,3,4]

Explanation: For all indices i in nums, there exists some index j such that |i - j| <= k and nums[j] == key, so every index is a k-distant index.

Hence, we provide [0,1,2,3,4].

Constraints

  • 1 <= nums.length <= 1000
  • 1 <= nums[i] <= 1000
  • key is an integer from the array nums.
  • 1 <= k <= nums.length

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