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Find Indices With Index and Value Difference II

You are given a 0-indexed integer array nums having length n, an integer indexDifference, and an integer valueDifference.

You are given a 0-indexed integer array nums having length n, an integer indexDifference, and an integer valueDifference.

Your task is to find two indices i and j, both in the range [0, n - 1], that satisfy the following conditions:

Return an integer array answer, where answer = [i, j] if there are two such indices, and answer = [-1, -1] otherwise. If there are multiple choices for the two indices, return any of them.

Note: i and j may be equal.

Find Indices With Index and Value Difference II diagram

Example 1

Input: nums = [5,1,4,1], indexDifference = 2, valueDifference = 4

Output: [0,3]

Explanation: In this example, i = 0 and j = 3 can be selected. abs(0 - 3) >= 2 and abs(nums[0] - nums[3]) >= 4. Hence, a valid answer is [0,3]. [3,0] is also a valid answer.

Example 2

Input: nums = [2,1], indexDifference = 0, valueDifference = 0

Output: [0,0]

Explanation: In this example, i = 0 and j = 0 can be selected. abs(0 - 0) >= 0 and abs(nums[0] - nums[0]) >= 0. Hence, a valid answer is [0,0]. Other valid answers are [0,1], [1,0], and [1,1].

Example 3

Input: nums = [1,2,3], indexDifference = 2, valueDifference = 4

Output: [-1,-1]

Explanation: In this example, it can be shown that it is impossible to find two indices that satisfy both conditions. Hence, [-1,-1] is returned.

Constraints

  • 1 <= n == nums.length <= 10^5
  • 0 <= nums[i] <= 10^9
  • 0 <= indexDifference <= 10^5
  • 0 <= valueDifference <= 10^9

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