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# Program to find minimum amplitude after deleting K elements in Python

Suppose we have a lit of numbers called nums, and have another value k. If we remove k elements from nums, then find the minimum of (maximum of nums - minimum of nums).

So, if the input is like nums = [4, 10, 3, 2, 8, 9] k = 3, then the output will be 2, because if we remove 10, 8 and 9 then maximum is 4, minimum is 2 so difference is 2.

To solve this, we will follow these steps −

sort the list nums

p := size of nums - k

m := (last element of nums) - nums[0]

for i in range 0 to size of nums - p, do

if nums[i + p - 1] - nums[i] < m, then

m := nums[i + p - 1] - nums[i]

return m

## Example

Let us see the following implementation to get better understanding

def solve(nums, k): nums = sorted(nums) p = len(nums) - k m = nums[-1] - nums[0] for i in range(0, len(nums) - p + 1): if nums[i + p - 1] - nums[i] < m: m = nums[i + p - 1] - nums[i] return m nums = [10, 4, 3, 2, 9, 8] k = 3 print(solve(nums, k))

## Input

[10, 4, 3, 2, 9, 8], 3

## Output

2

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