Problem

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:

Solution: Greedy

Sort the array and compare adjacent numbers.

Time complexity: O(nlogn)

Space complexity: O(1)

// Author: Huahua

class Solution {

public:

int smallestRangeII(vector<int>& A, int K) {

sort(begin(A), end(A));

int ans = A.back() - A.front();

for (int i = 1; i < A.size(); ++i) {

int l = min(A.front() + K, A[i] - K);

int h = max(A.back() - K, A[i - 1] + K);

ans = min(ans, h - l);

}

return ans;

}

};

# Author: Huahua

class Solution:

def smallestRangeII(self, A, K):

A.sort()

ans = A[-1] - A[0]

for a, b in zip(A[0:-1], A[1:]):

l = min(A[0] + K, b - K)

h = max(A[-1] - K, a + K)

ans = min(ans, h - l)

return ans