"""simple docstring"""







from __future__ import annotations

from bisect import bisect_left
from functools import total_ordering
from heapq import merge







@total_ordering
class  UpperCamelCase	(    lowercase_						):
   def __lt__(    self  ,__UpperCamelCase    )			->   Any:


        '''simple docstring'''


        return self[-1] < other[-1]







   def __eq__(    self  ,__UpperCamelCase    )			->   Union[str, Any]:


        '''simple docstring'''


        return self[-1] == other[-1]






def     lowercase__( __SCREAMING_SNAKE_CASE							:  list   ):
     lowercase_			:       list[Stack]									=			[]
     # sort into stacks
     for element in collection:
          lowercase_			:       List[str]									=			Stack([element]   )
          lowercase_			:       Union[str, Any]									=			bisect_left(__SCREAMING_SNAKE_CASE  ,    __SCREAMING_SNAKE_CASE   )
          if i != len(__SCREAMING_SNAKE_CASE   ):
               stacks[i].append(__SCREAMING_SNAKE_CASE   )
          else:
               stacks.append(__SCREAMING_SNAKE_CASE   )

    # use a heap-based merge to merge stack efficiently
     lowercase_			:       Any									=			merge(*(reversed(__SCREAMING_SNAKE_CASE   ) for stack in stacks)   )
     return collection


if __name__ == "__main__":
       __SCREAMING_SNAKE_CASE								=input("Enter numbers separated by a comma:\n").strip()
       __SCREAMING_SNAKE_CASE								=[int(item) for item in user_input.split(",")]
       print(patience_sort(unsorted))


"""simple docstring"""







import numpy as np



def     lowercase__( __SCREAMING_SNAKE_CASE							:  np.array   ):
     return 1 / (1 + np.exp(-vector   ))


if __name__ == "__main__":
       import doctest

       doctest.testmod()

