You are given an integer array nums.In one move, you can choose one element of nums and change it to any value.Return the minimum difference between the largest and smallest value of nums after performing at most three moves.
Question
You are given an integer array nums.In one move, you can choose one element of nums and change it to any value.Return the minimum difference between the largest and smallest value of nums after performing at most three moves.
Solution
This problem can be solved using a greedy algorithm. Here are the steps:
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First, sort the array in ascending order.
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Calculate the difference between the maximum and minimum values of the array. This will be our initial difference.
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Since we can make at most three moves, we have four different scenarios to consider:
- Change the three smallest numbers.
- Change the two smallest numbers and the largest number.
- Change the smallest number and the two largest numbers.
- Change the three largest numbers.
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For each scenario, calculate the difference between the maximum and minimum values of the array after the changes.
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The minimum difference from all these scenarios will be our answer.
Here is a Python code snippet that implements the above steps:
def minDifference(nums):
if len(nums) <= 4:
return 0
nums.sort()
return min(nums[-1] - nums[3], nums[-2] - nums[2], nums[-3] - nums[1], nums[-4] - nums[0])
This function first checks if the length of the array is less than or equal to 4. If it is, we can change all the elements to the same value, so the difference will be 0. If the length is more than 4, we sort the array and calculate the minimum difference for the four scenarios. The function returns this minimum difference.
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