

def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_ = 5_0			)->						int:



    """simple docstring"""






    UpperCamelCase_			  =						[1] * (length + 1)

    for row_length in range(length + 1			):
        for tile_length in range(2			,						5			):
            for tile_start in range(row_length - tile_length + 1			):
                ways_number[row_length] += ways_number[
                    row_length - tile_start - tile_length
                ]

    return ways_number[length]


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



def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_ = 1_0_0_0_0_0_0			)->						int:



    """simple docstring"""






    UpperCamelCase_			  =						[i - 1 for i in range(limit + 1			)]

    for i in range(2			,						limit + 1			):
        if phi[i] == i - 1:
            for j in range(2 * i			,						limit + 1			,						SCREAMING_SNAKE_CASE_			):
                phi[j] -= phi[j] // i

    return sum(phi[2 : limit + 1]			)


if __name__ == "__main__":
 print(solution())
