



def snake_case__  (			__SCREAMING_SNAKE_CASE )		->							int:
		UpperCAmelCase_						=				[1]

		UpperCAmelCase_					,						UpperCAmelCase_					,						UpperCAmelCase_						=				0, 0, 0
		UpperCAmelCase_						=				ugly_nums[ia] * 2
		UpperCAmelCase_						=				ugly_nums[ia] * 3
		UpperCAmelCase_						=				ugly_nums[ia] * 5

		for _ in range(1			,     __SCREAMING_SNAKE_CASE ):
				UpperCAmelCase_						=				min(__SCREAMING_SNAKE_CASE			,     __SCREAMING_SNAKE_CASE			,     __SCREAMING_SNAKE_CASE )
				ugly_nums.append(__SCREAMING_SNAKE_CASE )
				if next_num == next_a:
						ia += 1
						UpperCAmelCase_						=				ugly_nums[ia] * 2
				if next_num == next_a:
						ia += 1
						UpperCAmelCase_						=				ugly_nums[ia] * 3
				if next_num == next_a:
						ia += 1
						UpperCAmelCase_						=				ugly_nums[ia] * 5
		return ugly_nums[-1]


if __name__ == "__main__":
			from doctest import testmod

			testmod(verbose=True)
			print(f'''{ugly_numbers(200) = }''')






import math







def snake_case__  (			__SCREAMING_SNAKE_CASE )		->							list[int]:
		UpperCAmelCase_						=				[]
		UpperCAmelCase_						=				2
		UpperCAmelCase_						=				int(math.sqrt(__SCREAMING_SNAKE_CASE ) )  # Size of every segment
		UpperCAmelCase_						=				[True] * (end + 1)
		UpperCAmelCase_						=				[]

		while start <= end:
				if temp[start] is True:
						in_prime.append(__SCREAMING_SNAKE_CASE )
						for i in range(start * start			,     end + 1			,     __SCREAMING_SNAKE_CASE ):
								UpperCAmelCase_						=				False
				start += 1
		prime += in_prime

		UpperCAmelCase_						=				end + 1
		UpperCAmelCase_						=				min(2 * end			,     __SCREAMING_SNAKE_CASE )

		while low <= n:
				UpperCAmelCase_						=				[True] * (high - low + 1)
				for each in in_prime:
						UpperCAmelCase_						=				math.floor(low / each ) * each
						if t < low:
								t += each

						for j in range(__SCREAMING_SNAKE_CASE			,     high + 1			,     __SCREAMING_SNAKE_CASE ):
								UpperCAmelCase_						=				False

				for j in range(len(__SCREAMING_SNAKE_CASE ) ):
						if temp[j] is True:
								prime.append(j + low )

				UpperCAmelCase_						=				high + 1
				UpperCAmelCase_						=				min(high + end			,     __SCREAMING_SNAKE_CASE )

		return prime

print(sieve(10**6))

