How to Solve Minimum Absolute Difference Between Elements With Constraint Problem
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Minimum Absolute Difference Between Elements With Constraint
You are given a 0-indexed integer array nums and an integer x. Find the minimum absolute difference between two elements in the array that are at least x indices apart. In other words, find two indice...
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Understanding the Minimum Absolute Difference Between Elements With Constraint Problem
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Problem Statement
You are given a 0-indexed integer array nums and an integer x. Find the minimum absolute difference between two elements in the array that are at least x indices apart. In other words, find two indices i and j such that abs(i - j) >= x and abs(nums[i] - nums[j]) is minimized. Return an integer denoting the minimum absolute difference between two elements that are at least x indices apart.
Minimum Absolute Difference Between Elements With Constraint
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Examples
nums = [4,3,2,4], x = 2
0
We can select nums[0] = 4 and nums[3] = 4. They are at least 2 indices apart, and their absolute difference is the minimum, 0. It can be shown that 0 is the optimal answer.
nums = [5,3,2,10,15], x = 1
1
We can select nums[1] = 3 and nums[2] = 2. They are at least 1 index apart, and their absolute difference is the minimum, 1. It can be shown that 1 is the optimal answer.
nums = [1,2,3,4], x = 3
3
We can select nums[0] = 1 and nums[3] = 4. They are at least 3 indices apart, and their absolute difference is the minimum, 3. It can be shown that 3 is the optimal answer.
Constraints
1 <= nums.length <= 105
1 <= nums[i] <= 109
0 <= x < nums.length
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