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最小绝对差

难度:简单

https://leetcode.cn/problems/minimum-absolute-difference/

题目

给你个整数数组 arr,其中每个元素都 不相同

请你找到所有具有最小绝对差的元素对,并且按升序的顺序返回。

示例

示例 1:

输入:arr = [4,2,1,3]
输出:[[1,2],[2,3],[3,4]]

示例 2:

输入:arr = [1,3,6,10,15]
输出:[[1,3]]

示例 3:

输入:arr = [3,8,-10,23,19,-4,-14,27]
输出:[[-14,-10],[19,23],[23,27]]

解题

/**
 * 排序
 * @desc 时间复杂度 O(logN) 空间复杂度 O(logN)
 * @param arr
 * @returns
 */
export function minimumAbsDifference(arr: number[]): number[][] {
  arr.sort((a, b) => a - b)
  let minDiff = Number.MAX_VALUE
  const ans: number[][] = []

  const len = arr.length
  for (let i = 0; i < len - 1; i++) {
    const diff = arr[i + 1] - arr[i]
    if (diff > minDiff) continue

    if (diff < minDiff) {
      ans.length = 0
      minDiff = diff
    }
    ans.push([arr[i], arr[i + 1]])
  }

  return ans
}