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 <= A.length <= 10000
- 0 <= A[i] <= 10000
- 0 <= K <= 10000
Solution in python:
class Solution:
def smallestRangeI(self, A: List[int], K: int) -> int:
min_value = A[0]
max_value = A[0]
for item in A:
if item < min_value:
min_value = item
if item > max_value:
max_value = item
if max_value - min_value <= 2*K:
return 0
else:
return max_value-min_value-2*K
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