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Python Array Sorting
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Python Array Sorting

EasyPython

Problem

Motorola Solutions CommandCentral receives alert priorities that must be ordered before they are displayed or processed. Implement a stable merge sort that returns the priorities in ascending order without using Python's built-in sort() or sorted() functions.

Formal Specification

Write sort_priorities(priorities), where priorities is a list of integers. Return a new list containing the same values in nondecreasing order. The input list must not be modified. Duplicate values must be preserved, and the algorithm must remain stable if equal-priority records are later extended with metadata.

Constraints

  • 0 <= len(priorities) <= 10^5
  • -10^9 <= priorities[i] <= 10^9
  • Do not call sort() or sorted().
  • Return a new list and leave priorities unchanged.
  • Target O(n log n) time complexity.

Function Signature

def sort_priorities(priorities):
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