


from collections.abc import Generator
from math import sin






def 					lowerCamelCase_   (	_a	):




		"""simple docstring"""






		if len(_a	) != 32:
				raise ValueError('''Input must be of length 32'''	)

		lowerCAmelCase__       :      str   					= B''''''
		for i in [3, 2, 1, 0]:
				little_endian += string_aa[8 * i : 8 * i + 8]
		return little_endian






def 					lowerCamelCase_   (	_a	):




		"""simple docstring"""






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

		lowerCAmelCase__       :      Any   					= format(_a     ,       '''08x'''	)[-8:]
		lowerCAmelCase__       :      int   					= 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 					lowerCamelCase_   (	_a	):




		"""simple docstring"""






		lowerCAmelCase__       :      List[str]   					= B''''''
		for char in message:
				bit_string += format(_a     ,       '''08b'''	).encode('''utf-8'''	)
		lowerCAmelCase__       :      Optional[Any]   					= format(len(_a	)     ,       '''064b'''	).encode('''utf-8'''	)

		# Pad bit_string to a multiple of 512 chars
		bit_string += b"1"
		while len(_a	) % 512 != 448:
				bit_string += b"0"
		bit_string += to_little_endian(start_len[32:]	) + to_little_endian(start_len[:32]	)

		return bit_string






def 					lowerCamelCase_   (	_a	):




		"""simple docstring"""






		if len(_a	) % 512 != 0:
				raise ValueError('''Input must have length that\'s a multiple of 512'''	)

		for pos in range(0     ,       len(_a	)     ,       512	):
				lowerCAmelCase__       :      Optional[Any]   					= bit_string[pos : pos + 512]
				lowerCAmelCase__       :      int   					= []
				for i in range(0     ,       512     ,       32	):
						block_words.append(int(to_little_endian(block[i : i + 32]	)     ,       2	)	)
				yield block_words






def 					lowerCamelCase_   (	_a	):




		"""simple docstring"""






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

		lowerCAmelCase__       :      Tuple   					= format(_a     ,       '''032b'''	)
		lowerCAmelCase__       :      List[Any]   					= ''''''
		for c in i_str:
				new_str += "1" if c == "0" else "0"
		return int(_a     ,       2	)






def 					lowerCamelCase_   (	_a     ,       _a	):




		"""simple docstring"""






		return (a + b) % 2**32






def 					lowerCamelCase_   (	_a     ,       _a	):




		"""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 					lowerCamelCase_   (	_a	):




		"""simple docstring"""






		lowerCAmelCase__       :      Dict   					= preprocess(_a	)

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

		# Starting states
		lowerCAmelCase__       :      Dict   					= 0x6745_2301
		lowerCAmelCase__       :      str   					= 0xEFCD_AB89
		lowerCAmelCase__       :      Dict   					= 0x98BA_DCFE
		lowerCAmelCase__       :      Dict   					= 0x1032_5476

		lowerCAmelCase__       :      int   					= [
		    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(_a	):
				lowerCAmelCase__       :      int   					= aa
				lowerCAmelCase__       :      str   					= ba
				lowerCAmelCase__       :      Any   					= ca
				lowerCAmelCase__       :      Tuple   					= da

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

				# Add hashed chunk to running total
				lowerCAmelCase__       :      Optional[Any]   					= sum_aa(_a     ,       _a	)
				lowerCAmelCase__       :      List[Any]   					= sum_aa(_a     ,       _a	)
				lowerCAmelCase__       :      str   					= sum_aa(_a     ,       _a	)
				lowerCAmelCase__       :      List[Any]   					= sum_aa(_a     ,       _a	)

		lowerCAmelCase__       :      Optional[int]   					= reformat_hex(_a	) + reformat_hex(_a	) + reformat_hex(_a	) + reformat_hex(_a	)
		return digest


if __name__ == "__main__":
		import doctest

		doctest.testmod()








# using dfs for finding eulerian path traversal






def 					lowerCamelCase_   (	_a     ,       _a     ,       _a     ,       _a=None	):




		"""simple docstring"""






		lowerCAmelCase__       :      Optional[Any]   					= (path or []) + [u]
		for v in graph[u]:
				if visited_edge[u][v] is False:
						lowerCAmelCase__					,     lowerCAmelCase__       :      List[Any]   					= True, True
						lowerCAmelCase__       :      Any   					= dfs(_a     ,       _a     ,       _a     ,       _a	)
		return path






def 					lowerCamelCase_   (	_a     ,       _a	):




		"""simple docstring"""






		lowerCAmelCase__       :      Union[str, Any]   					= 0
		lowerCAmelCase__       :      str   					= -1
		for i in range(_a	):
				if i not in graph.keys():
						continue
				if len(graph[i]	) % 2 == 1:
						odd_degree_nodes += 1
						lowerCAmelCase__       :      Tuple   					= i
		if odd_degree_nodes == 0:
				return 1, odd_node
		if odd_degree_nodes == 2:
				return 2, odd_node
		return 3, odd_node






def 					lowerCamelCase_   (	_a     ,       _a	):




		"""simple docstring"""






		lowerCAmelCase__       :      Optional[Any]   					= [[False for _ in range(max_node + 1	)] for _ in range(max_node + 1	)]
		lowerCAmelCase__					,     lowerCAmelCase__       :      Optional[int]   					= check_circuit_or_path(_a     ,       _a	)
		if check == 3:
				print('''graph is not Eulerian'''	)
				print('''no path'''	)
				return
		lowerCAmelCase__       :      Optional[int]   					= 1
		if check == 2:
				lowerCAmelCase__       :      Any   					= odd_node
				print('''graph has a Euler path'''	)
		if check == 1:
				print('''graph has a Euler cycle'''	)
		lowerCAmelCase__       :      Optional[int]   					= dfs(_a     ,       _a     ,       _a	)
		print(_a	)






def 					lowerCamelCase_   (	):




		"""simple docstring"""






		lowerCAmelCase__       :      List[str]   					= {1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
		lowerCAmelCase__       :      Tuple   					= {1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
		lowerCAmelCase__       :      str   					= {1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
		lowerCAmelCase__       :      List[str]   					= {1: [2, 3], 2: [1, 3], 3: [1, 2]}
		lowerCAmelCase__       :      List[Any]   					= {
		    1: [],
		    2: []
		    # all degree is zero
		}
		lowerCAmelCase__       :      Optional[Any]   					= 10
		check_euler(_a     ,       _a	)
		check_euler(_a     ,       _a	)
		check_euler(_a     ,       _a	)
		check_euler(_a     ,       _a	)
		check_euler(_a     ,       _a	)


if __name__ == "__main__":
		main()




