Find Indices With Index and Value Difference I

Problem Description

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:

• abs(i - j) >= indexDifference, and
• abs(nums[i] - nums[j]) >= valueDifference

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.

Key Insights

• The problem requires checking pairs of indices in the array and verifying two conditions: the absolute difference of the indices and the absolute difference of their corresponding values.
• The constraints allow for a straightforward O(n^2) approach since n can be at most 100.
• The solution can utilize a nested loop to iterate through all pairs of indices.

Space and Time Complexity

Time Complexity: O(n^2)
Space Complexity: O(1)

Solution

To solve this problem, we will use a brute-force approach by iterating through all pairs of indices i and j in the array. For each pair, we will check if both conditions are satisfied. If we find such a pair, we will return the indices. If no valid pair is found after checking all combinations, we will return [-1, -1].

Code Solutions