






def       _a   (							lowerCamelCase__				)  ->      bool:
 if not isinstance(lowerCamelCase__ ,			lowerCamelCase__				):
  lowerCamelCase_							:    Dict							=     F'Input value of [number={number}] must be an integer'
  raise TypeError(lowerCamelCase__				)
 if number < 0 or number % 2 == 1:
  return False
 lowerCamelCase_							:    int							=     int(number**0.5				)
 return number == number_sqrt * (number_sqrt + 1)


if __name__ == "__main__":
       import doctest

       doctest.testmod()








def       _a   (							lowerCamelCase__				)  ->      int:
 return int(lowerCamelCase__				) if x - int(lowerCamelCase__				) >= 0 else int(lowerCamelCase__				) - 1


if __name__ == "__main__":
       import doctest

       doctest.testmod()
