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Implement an Algorithm Function
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Implement an Algorithm Function

MediumPython

Problem

Write a function to implement a specific algorithm (e.g., sorting, searching). Implement a stable merge sort that returns the input integers in ascending order without calling Python's built-in sorting functions. The function must return a new list and leave the input list unchanged. Input: a list of integers. Output: a new sorted list containing the same values.

Example: nums = [5, 2, 4, 1] produces [1, 2, 4, 5]. An empty list produces an empty list.

Constraints: 0 <= len(nums) <= 1,000, and each integer is between -10^9 and 10^9.

Constraints

  • 0 <= len(nums) <= 1,000
  • -10^9 <= nums[i] <= 10^9
  • Do not call sorted() or list.sort()
  • Return a new list and leave nums unchanged

Function Signature

def merge_sort(nums):
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