


def       A_   (   _lowerCAmelCase     :					str = "The quick brown fox jumps over the lazy dog",     ):






     """simple docstring"""

     _a    	=				set()

     # Replace all the whitespace in our sentence
     _a    	=				input_str.replace(''' ''',     ''''''       )
     for alpha in input_str:
          if "a" <= alpha.lower() <= "z":
               frequency.add(alpha.lower()       )
     return len(_lowerCAmelCase       ) == 26
def       A_   (   _lowerCAmelCase     :					str = "The quick brown fox jumps over the lazy dog",     ):






     """simple docstring"""

     _a    	=				[False] * 26
     for char in input_str:
          if char.islower():
               _a    	=				True
          elif char.isupper():
               _a    	=				True
     return all(_lowerCAmelCase       )
def       A_   (   _lowerCAmelCase     :					str = "The quick brown fox jumps over the lazy dog",     ):






     """simple docstring"""

     return len({char for char in input_str.lower() if char.isalpha()}       ) == 26
def       A_   (   ):






     """simple docstring"""

     from timeit import timeit

     _a    	=				'''from __main__ import is_pangram, is_pangram_faster, is_pangram_fastest'''
     print(timeit('''is_pangram()''',     setup=_lowerCAmelCase       )       )
     print(timeit('''is_pangram_faster()''',     setup=_lowerCAmelCase       )       )
     print(timeit('''is_pangram_fastest()''',     setup=_lowerCAmelCase       )       )
     # 5.348480500048026, 2.6477354579837993, 1.8470395830227062
     # 5.036091582966037, 2.644472333951853,  1.8869528750656173


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   benchmark()



"""simple docstring"""






def       A_   (   _lowerCAmelCase     :					int = 10**12       ):






     """simple docstring"""

     _a    	=				1
     _a    	=				0

     _a    	=				1
     _a    	=				1

     while numerator <= 2 * min_total - 1:
          prev_numerator += 2 * numerator
          numerator += 2 * prev_numerator

          prev_denominator += 2 * denominator
          denominator += 2 * prev_denominator

     return (denominator + 1) // 2


if __name__ == "__main__":
   print(f'{solution() = }')