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Smallest Range II

Given an array A of integers, for each integer A[i] we need to choose either x = -K or x = K, and add x to A[i] (only once).

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: 3 Explanation: B = [4,6,3] Note:

  1. 1 <= A.length <= 10000

  2. 0 <= A[i] <= 10000

  3. 0 <= K <= 10000

 

class Solution {

public int smallestRangeII(int[] A, int K) {

int N = A.length;

Arrays.sort(A);

int ans = A[N-1] - A[0];


for (int i = 0; i < A.length - 1; ++i) {

int a = A[i], b = A[i+1];

int high = Math.max(A[N-1] - K, a + K);

int low = Math.min(A[0] + K, b - K);

ans = Math.min(ans, high - low);

}

return ans;

}

}


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