code: 
  
  
  from __future__ import annotations
  
  
  
  
  def       a__						(		snake_case__				:       Optional[Any]    ):
    _UpperCAmelCase		:       Any       =    {1}
    _UpperCAmelCase		:       Optional[int]       =    [1]
    for _ in range(2	,      depth + 1    ):
      _UpperCAmelCase		:       str       =    [*previous_coefficients, 0]
      _UpperCAmelCase		:       Optional[int]       =    [0, *previous_coefficients]
      _UpperCAmelCase		:       List[Any]       =    []
      for x, y in zip(snake_case_	,      snake_case_    ):
        coefficients.add(x + y    )
        previous_coefficients.append(x + y    )
    return coefficients
  
  
  
  
  def       a__						(		snake_case__				:       List[Any]    ):
    _UpperCAmelCase		:       List[str]       =    set()
    for number in unique_coefficients:
      _UpperCAmelCase		:       List[str]       =    2
      _UpperCAmelCase		:       Optional[Any]       =    number
      while divisor**2 <= copy_number:
        _UpperCAmelCase		:       str       =    0
        while copy_number % divisor == 0:
          copy_number //= divisor
          multiplicity += 1
        if multiplicity >= 2:
          non_squarefrees.add(snake_case_    )
          break
        divisor += 1
  
    return unique_coefficients.difference(snake_case_    )
  
  
  
  
  def       a__						(		snake_case__				:       List[Any] = 51    ):
    _UpperCAmelCase		:       Tuple       =    get_pascal_triangle_unique_coefficients(snake_case_    )
    _UpperCAmelCase		:       Optional[Any]       =    get_squarefrees(snake_case_    )
    return sum(snake_case_    )
  
  
  if __name__ == "__main__":
   print(F'{solution() = }')
  
  
  
  
  
  
style_context: 
  
  
  from typing import Any
  
  
  class 		_SCREAMING_SNAKE_CASE    :
  
  
       def __init__(     self						):
         _UpperCAmelCase		:       Union[str, Any]       =    []
         _UpperCAmelCase		:       Dict       =    0
  
  
       def __str__(     self						):
         _UpperCAmelCase		:       Union[str, Any]       =    """<""" + str(self.stack						)[1:-1] + """>"""
         return printed
  
  
       def 					__snake_case(     self       ,				A_						):
         self.stack.append(A_						)
         _UpperCAmelCase		:       Optional[Any]       =    self.length + 1
  
  
       def 					__snake_case(     self						):
         self.rotate(1						)
         _UpperCAmelCase		:       List[Any]       =    self.stack[self.length - 1]
         _UpperCAmelCase		:       Optional[Any]       =    self.stack[:-1]
         self.rotate(self.length - 1						)
         _UpperCAmelCase		:       Union[str, Any]       =    self.length - 1
         return dequeued
  
  
       def 					__snake_case(     self       ,				A_						):
         for _ in range(A_						):
           _UpperCAmelCase		:       Dict       =    self.stack[0]
           _UpperCAmelCase		:       List[Any]       =    self.stack[1:]
           self.put(A_						)
           _UpperCAmelCase		:       Dict       =    self.length - 1
  
  
       def 					__snake_case(     self						):
         _UpperCAmelCase		:       Tuple       =    self.get()
         self.put(A_						)
         self.rotate(self.length - 1						)
         return front
  
  
       def 					__snake_case(     self						):
         return self.length
  
  
  
  
  
  