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908. Smallest Range I

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

Solutions (Rust)

1. Mathematical

impl Solution {
    pub fn smallest_range_i(a: Vec<i32>, k: i32) -> i32 {
        let mut min = a.iter().min().unwrap();
        let mut max = a.iter().max().unwrap();
        if max - min < 2 * k {
            0
        } else {
            max - min - 2 * k
        }
    }
}