How to Solve Minimum Absolute Difference Queries Problem
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Minimum Absolute Difference Queries
The minimum absolute difference of an array a is defined as the minimum value of |a[i] - a[j]|, where 0 <= i < j < a.length and a[i] != a[j]. If all elements of a are the same, the minimum absolute di...
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Understanding the Minimum Absolute Difference Queries Problem
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Problem Statement
The minimum absolute difference of an array a is defined as the minimum value of |a[i] - a[j]|, where 0 <= i < j < a.length and a[i] != a[j]. If all elements of a are the same, the minimum absolute difference is -1. For example, the minimum absolute difference of the array [5,2,3,7,2] is |2 - 3| = 1. Note that it is not 0 because a[i] and a[j] must be different. You are given an integer array nums and the array queries where queries[i] = [li, ri]. For each query i, compute the minimum absolute difference of the subarray nums[li...ri] containing the elements of nums between the 0-based indices li and ri (inclusive). Return an array ans where ans[i] is the answer to the ith query. A subarray is a contiguous sequence of elements in an array. The value of |x| is defined as: x if x >= 0. -x if x < 0.
Minimum Absolute Difference Queries
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Examples
nums = [1,3,4,8], queries = [[0,1],[1,2],[2,3],[0,3]][2,1,4,1]The queries are processed as follows: - queries[0] = [0,1]: The subarray is [1,3] and the minimum absolute difference is |1-3| = 2. - queries[1] = [1,2]: The subarray is [3,4] and the minimum absolute difference is |3-4| = 1. - queries[2] = [2,3]: The subarray is [4,8] and the minimum absolute difference is |4-8| = 4. - queries[3] = [0,3]: The subarray is [1,3,4,8] and the minimum absolute difference is |3-4| = 1.
nums = [4,5,2,2,7,10], queries = [[2,3],[0,2],[0,5],[3,5]][-1,1,1,3]The queries are processed as follows: - queries[0] = [2,3]: The subarray is [2,2] and the minimum absolute difference is -1 because all the elements are the same. - queries[1] = [0,2]: The subarray is [4,5,2] and the minimum absolute difference is |4-5| = 1. - queries[2] = [0,5]: The subarray is [4,5,2,2,7,10] and the minimum absolute difference is |4-5| = 1. - queries[3] = [3,5]: The subarray is [2,7,10] and the minimum absolute difference is |7-10| = 3.
Constraints
2 <= nums.length <= 1051 <= nums[i] <= 1001 <= queries.length <= 2 * 1040 <= li < ri <How Interview Coder Helps with Leetcode Problems
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