



'''simple docstring'''




from collections.abc import Generator
from math import sin



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			if len(lowerCamelCase__    ) != 32:
						raise ValueError("""Input must be of length 32"""    )

			A_	:						Dict	=     b""""""
			for i in [3, 2, 1, 0]:
						little_endian += string_aa[8 * i : 8 * i + 8]
			return little_endian



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			if i < 0:
						raise ValueError("""Input must be non-negative"""    )

			A_	:						Dict	=     format(lowerCamelCase__						,      """08x"""    )[-8:]
			A_	:						Optional[Any]	=     b""""""
			for i in [3, 2, 1, 0]:
						little_endian_hex += hex_rep[2 * i : 2 * i + 2].encode("""utf-8"""    )
			return little_endian_hex



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			A_	:						Tuple	=     b""""""
			for char in message:
						bit_string += format(lowerCamelCase__						,      """08b"""    ).encode("""utf-8"""    )
			A_	:						str	=     format(len(lowerCamelCase__    )						,      """064b"""    ).encode("""utf-8"""    )

			# Pad bit_string to a multiple of 512 chars
			bit_string += b"1"
			while len(lowerCamelCase__    ) % 5_12 != 4_48:
						bit_string += b"0"
			bit_string += to_little_endian(start_len[32:]    ) + to_little_endian(start_len[:32]    )

			return bit_string



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			if len(lowerCamelCase__    ) % 5_12 != 0:
						raise ValueError("""Input must have length that's a multiple of 512"""    )

			for pos in range(0						,      len(lowerCamelCase__    )						,      5_12    ):
						A_	:						Optional[Any]	=     bit_string[pos : pos + 5_12]
						A_	:						int	=     []
						for i in range(0						,      5_12						,      32    ):
									block_words.append(int(to_little_endian(block[i : i + 32]    )						,      2    )    )
						yield block_words



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			if i < 0:
						raise ValueError("""Input must be non-negative"""    )

			A_	:						int	=     format(lowerCamelCase__						,      """032b"""    )
			A_	:						Optional[int]	=     """"""
			for c in i_str:
						new_str += "1" if c == "0" else "0"
			return int(lowerCamelCase__						,      2    )



def 	a			( lowerCamelCase__						,      lowerCamelCase__    ):
			'''simple docstring'''





			return (a + b) % 2**32



def 	a			( lowerCamelCase__						,      lowerCamelCase__    ):
			'''simple docstring'''





			if i < 0:
						raise ValueError("""Input must be non-negative"""    )
			if shift < 0:
						raise ValueError("""Shift must be non-negative"""    )
			return ((i << shift) ^ (i >> (32 - shift))) % 2**32



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			A_	:						Any	=     preprocess(lowerCamelCase__    )

			A_	:						Union[str, Any]	=     [int(2**32 * abs(sin(i + 1    )    )    ) for i in range(64    )]

			# Starting states
			A_	:						str	=     0X67_45_23_01
			A_	:						List[Any]	=     0XEF_CD_AB_89
			A_	:						List[Any]	=     0X98_BA_DC_FE
			A_	:						Any	=     0X10_32_54_76

			A_	:						str	=     [
			    7,
			    12,
			    17,
			    22,
			    7,
			    12,
			    17,
			    22,
			    7,
			    12,
			    17,
			    22,
			    7,
			    12,
			    17,
			    22,
			    5,
			    9,
			    14,
			    20,
			    5,
			    9,
			    14,
			    20,
			    5,
			    9,
			    14,
			    20,
			    5,
			    9,
			    14,
			    20,
			    4,
			    11,
			    16,
			    23,
			    4,
			    11,
			    16,
			    23,
			    4,
			    11,
			    16,
			    23,
			    4,
			    11,
			    16,
			    23,
			    6,
			    10,
			    15,
			    21,
			    6,
			    10,
			    15,
			    21,
			    6,
			    10,
			    15,
			    21,
			    6,
			    10,
			    15,
			    21,
			]

			# Process bit string in chunks, each with 16 32-char words
			for block_words in get_block_words(lowerCamelCase__    ):
						A_	:						Dict	=     aa
						A_	:						Union[str, Any]	=     ba
						A_	:						Union[str, Any]	=     ca
						A_	:						Dict	=     da

						# Hash current chunk
						for i in range(64    ):
									if i <= 15:
												# f = (b & c) | (not_32(b) & d)     # Alternate definition for f
												A_	:						str	=     d ^ (b & (c ^ d))
												A_	:						Union[str, Any]	=     i
									elif i <= 31:
												# f = (d & b) | (not_32(d) & c)     # Alternate definition for f
												A_	:						Dict	=     c ^ (d & (b ^ c))
												A_	:						Dict	=     (5 * i + 1) % 16
									elif i <= 47:
												A_	:						Union[str, Any]	=     b ^ c ^ d
												A_	:						Tuple	=     (3 * i + 5) % 16
									else:
												A_	:						Dict	=     c ^ (b | not_aa(lowerCamelCase__    ))
												A_	:						Union[str, Any]	=     (7 * i) % 16
									A_	:						Any	=     (f + a + added_consts[i] + block_words[g]) % 2**32
									A_	:						List[Any]	=     d
									A_	:						List[Any]	=     c
									A_	:						Any	=     b
									A_	:						Any	=     sum_aa(lowerCamelCase__						,      left_rotate_aa(lowerCamelCase__						,      shift_amounts[i]    )    )

						# Add hashed chunk to running total
						A_	:						Tuple	=     sum_aa(lowerCamelCase__						,      lowerCamelCase__    )
						A_	:						Any	=     sum_aa(lowerCamelCase__						,      lowerCamelCase__    )
						A_	:						Optional[Any]	=     sum_aa(lowerCamelCase__						,      lowerCamelCase__    )
						A_	:						List[Any]	=     sum_aa(lowerCamelCase__						,      lowerCamelCase__    )

			A_	:						Optional[Any]	=     reformat_hex(lowerCamelCase__    ) + reformat_hex(lowerCamelCase__    ) + reformat_hex(lowerCamelCase__    ) + reformat_hex(lowerCamelCase__    )
			return digest


if __name__ == "__main__":
						import doctest

						doctest.testmod()




'''simple docstring'''




from __future__ import annotations

import math



def 	a			( lowerCamelCase__    ):
			'''simple docstring'''





			if num <= 0:
						A_	:						List[Any]	=     f'{num}: Invalid input, please enter a positive integer.'
						raise ValueError(lowerCamelCase__    )

			A_	:						Dict	=     [True] * (num + 1)
			A_	:						List[Any]	=     []
			A_	:						Tuple	=     2
			A_	:						Optional[int]	=     int(math.sqrt(lowerCamelCase__    )    )

			while start <= end:
						# If start is a prime
						if sieve[start] is True:
									prime.append(lowerCamelCase__    )

									# Set multiples of start be False
									for i in range(start * start						,      num + 1						,      lowerCamelCase__    ):
												if sieve[i] is True:
															A_	:						List[Any]	=     False

						start += 1

			for j in range(end + 1						,      num + 1    ):
						if sieve[j] is True:
									prime.append(lowerCamelCase__    )

			return prime


if __name__ == "__main__":
						print(prime_sieve(int(input('''Enter a positive integer: ''').strip())))