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花花酱 LeetCode 908. Smallest Range I

Problem

Given an array A of integers, for each integer A[i] we may choose any x with -K <= x <= K, and add xto A[i].

After this process, we have some array B.

Return the smallest possible difference between the maximum value of B and the minimum value of B.

Example 1:

Input: A = [1], K = 0
Output: 0
Explanation: B = [1]

Example 2:

Input: A = [0,10], K = 2
Output: 6
Explanation: B = [2,8]

Example 3:

Input: A = [1,3,6], K = 3
Output: 0
Explanation: B = [3,3,3] or B = [4,4,4]

Note:

  1. 1 <= A.length <= 10000
  2. 0 <= A[i] <= 10000
  3. 0 <= K <= 10000

Solution 0: Brute Force (TLE)

Try all pairs

Time complexity: O(n^2)

Space complexity: O(1)

Solution 1: Math

Time complexity: O(n)

Space complexity: O(1)

Find the min/max element of the array.

min + k v.s. max – k

ans = max(0, (max – min) – 2 * k))

C++

Python3

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