## Algorithm

Problem Name: 908. Smallest Range I

You are given an integer array `nums` and an integer `k`.

In one operation, you can choose any index `i` where `0 <= i < nums.length` and change `nums[i]` to `nums[i] + x` where `x` is an integer from the range `[-k, k]`. You can apply this operation at most once for each index `i`.

The score of `nums` is the difference between the maximum and minimum elements in `nums`.

Return the minimum score of `nums` after applying the mentioned operation at most once for each index in it.

Example 1:

```Input: nums = , k = 0
Output: 0
Explanation: The score is max(nums) - min(nums) = 1 - 1 = 0.
```

Example 2:

```Input: nums = [0,10], k = 2
Output: 6
Explanation: Change nums to be [2, 8]. The score is max(nums) - min(nums) = 8 - 2 = 6.
```

Example 3:

```Input: nums = [1,3,6], k = 3
Output: 0
Explanation: Change nums to be [4, 4, 4]. The score is max(nums) - min(nums) = 4 - 4 = 0.
```

Constraints:

• `1 <= nums.length <= 104`
• `0 <= nums[i] <= 104`
• `0 <= k <= 104`

## Code Examples

### #1 Code Example with Java Programming

```Code - Java Programming```

``````
class Solution {
public int smallestRangeI(int[] A, int K) {
int maximum = A;
int minimum = A;
for (int num : A) {
maximum = Math.max(num, maximum);
minimum = Math.min(num, minimum);
}
return Math.max(0, maximum - minimum - 2 * K);
}
}
``````
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Input

cmd
nums = , k = 0

### #2 Code Example with Javascript Programming

```Code - Javascript Programming```

``````
const smallestRangeI = function(nums, k) {
let min = Infinity, max = -Infinity
for(let e of nums) {
min = Math.min(min, e)
max = Math.max(max, e)
}
return max - k >= min + k ? max - k - (min + k) : 0
};
``````
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Input

cmd
nums = , k = 0

### #3 Code Example with Python Programming

```Code - Python Programming```

``````
class Solution:
def smallestRangeI(self, A, K):
l, r = min(A) + K, max(A) - K
return 0 if l >= r else r - l
``````
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Input

cmd
nums = [0,10], k = 2

Output

cmd
6

### #4 Code Example with C# Programming

```Code - C# Programming```

``````
using System;

namespace LeetCode
{
public class _0908_SmallestRangeI
{
public int SmallestRangeI(int[] A, int K)
{
int max = int.MinValue, min = int.MaxValue;
foreach (var num in A)
{
max = Math.Max(num, max);
min = Math.Min(num, min);
}

var result = max - min - K * 2;
return result < 0 ? 0 : result;
}
}
}
``````
Copy The Code &

Input

cmd
nums = [0,10], k = 2

Output

cmd
6