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Custom Sort and Complexity
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Custom Sort and Complexity

HardPython

Problem

Implement a custom sorting algorithm and explain its time complexity without using standard library shortcuts.

Write sort_numbers(nums) to return a new list containing the integers in nondecreasing order. Do not call sorted, .sort, or any library sorting routine. Your solution should correctly handle duplicates, negative values, an empty list, and a single-element list. State the algorithm's time and auxiliary-space complexity.

Constraints

  • 0 <= len(nums) <= 500
  • -10^9 <= nums[i] <= 10^9
  • Return a new list and do not modify nums
  • Do not use sorted, list.sort, or any library sorting routine

Function Signature

def sort_numbers(nums):
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