Package g1901_2000.s1906_minimum_absolute_difference_queries

Class Solution

java.lang.Object
g1901_2000.s1906_minimum_absolute_difference_queries.Solution
public class Solution extends Object
1906 - Minimum Absolute Difference Queries.

Medium

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.

Example 1:

Input: nums = [1,3,4,8], queries = [[0,1],[1,2],[2,3],[0,3]]

Output: [2,1,4,1]

Explanation: 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.

Example 2:

Input: nums = [4,5,2,2,7,10], queries = [[2,3],[0,2],[0,5],[3,5]]

Output: [-1,1,1,3]

Explanation: 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 <= 105
  • 1 <= nums[i] <= 100
  • 1 <= queries.length <= 2 * 104
  • 0 <= li < ri < nums.length

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minDifference

      public int[] minDifference(int[] nums, int[][] queries)