from __future__ import annotations from bisect import bisect_left from functools import total_ordering from heapq import merge """ A pure Python implementation of the patience sort algorithm For more information: https://en.wikipedia.org/wiki/Patience_sorting This algorithm is based on the card game patience For doctests run following command: python3 -m doctest -v patience_sort.py For manual testing run: python3 patience_sort.py """ @total_ordering class Stack(list): def __lt__(self, other): return self[-1] < other[-1] def __eq__(self, other): return self[-1] == other[-1] def patience_sort(collection: list) -> list: """A pure implementation of patience sort algorithm in Python :param collection: some mutable ordered collection with heterogeneous comparable items inside :return: the same collection ordered by ascending Examples: >>> patience_sort([1, 9, 5, 21, 17, 6]) [1, 5, 6, 9, 17, 21] >>> patience_sort([]) [] >>> patience_sort([-3, -17, -48]) [-48, -17, -3] """ stacks: list[Stack] = [] # sort into stacks for element in collection: new_stacks = Stack([element]) i = bisect_left(stacks, new_stacks) if i != len(stacks): stacks[i].append(element) else: stacks.append(new_stacks) # use a heap-based merge to merge stack efficiently collection[:] = merge(*(reversed(stack) for stack in stacks)) return collection if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(patience_sort(unsorted))