






'''simple docstring'''







import re

from flax.core.frozen_dict import freeze
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.experimental import PartitionSpec as P


# Sentinels
__lowerCAmelCase									=   object()

# For specifying empty leaf dict `{}`
__lowerCAmelCase									=   object()





def 		_UpperCAmelCase (				__A				: List[str]    ,		__A				: Tuple   ):
				a_		:	List[Any]									=   tuple((re.compile(x + '''$'''   ) for x in qs)   )
				for i in range(len(__A   ) - len(__A   ) + 1   ):
								a_		:	Union[str, Any]									=   [x.match(__A   ) for x, y in zip(__A    ,		ks[i:]   )]
								if matches and all(__A   ):
												return True
				return False





def 		_UpperCAmelCase (				__A				: List[str]   ):
				def replace(__A				: int    ,		__A				: Union[str, Any]   ):
								for rule, replacement in rules:
												if _match(__A    ,		__A   ):
																return replacement
								return val

				return replace





def 		_UpperCAmelCase (				):
				return [
				    # embeddings
				    (("transformer", "wpe", "embedding"), P('''mp'''    ,		__A   )),
				    (("transformer", "wte", "embedding"), P('''mp'''    ,		__A   )),
				    # atention
				    (("attention", "(q_proj|k_proj|v_proj)", "kernel"), P(__A    ,		'''mp'''   )),
				    (("attention", "out_proj", "kernel"), P('''mp'''    ,		__A   )),
				    (("attention", "out_proj", "bias"), None),
				    # mlp
				    (("mlp", "c_fc", "kernel"), P(__A    ,		'''mp'''   )),
				    (("mlp", "c_fc", "bias"), P('''mp'''   )),
				    (("mlp", "c_proj", "kernel"), P('''mp'''    ,		__A   )),
				    (("mlp", "c_proj", "bias"), None),
				    # layer norms
				    ((r"ln_\d+", "bias"), None),
				    ((r"\d+", r"ln_\d+", "scale"), None),
				    (("ln_f", "bias"), None),
				    (("ln_f", "scale"), None),
				]





def 		_UpperCAmelCase (				__A				: Union[str, Any]   ):
				a_		:	Tuple									=   _get_partition_rules()
				a_		:	Tuple									=   _replacement_rules(__A   )
				a_		:	Optional[Any]									=   {k: _unmatched for k in flatten_dict(__A   )}
				a_		:	Optional[Any]									=   {k: replace(__A    ,		__A   ) for k, v in initd.items()}
				assert _unmatched not in result.values(), "Incomplete partition spec."
				return freeze(unflatten_dict(__A   )   )












'''simple docstring'''







def 		_UpperCAmelCase (				__A				: int   ):
				a_		:	Optional[Any]									=   []
				a_		:	Optional[Any]									=   []
				a_		:	List[str]									=   {
				    '''^''': 3,
				    '''*''': 2,
				    '''/''': 2,
				    '''%''': 2,
				    '''+''': 1,
				    '''-''': 1,
				}  # Priority of each operator
				a_		:	int									=   len(__A   ) if (len(__A   ) > 7) else 7

				# Print table header for output
				print(
				    '''Symbol'''.center(8   )    ,		'''Stack'''.center(__A   )    ,		'''Postfix'''.center(__A   )    ,		sep=''' | '''    ,		)
				print('''-''' * (print_width * 3 + 7)   )

				for x in infix:
								if x.isalpha() or x.isdigit():
												post_fix.append(__A   )  # if x is Alphabet / Digit, add it to Postfix
								elif x == "(":
												stack.append(__A   )  # if x is "(" push to Stack
								elif x == ")":  # if x is ")" pop stack until "(" is encountered
												while stack[-1] != "(":
																post_fix.append(stack.pop()   )  # Pop stack & add the content to Postfix
												stack.pop()
								else:
												if len(__A   ) == 0:
																stack.append(__A   )  # If stack is empty, push x to stack
												else:  # while priority of x is not > priority of element in the stack
																while len(__A   ) > 0 and priority[x] <= priority[stack[-1]]:
																				post_fix.append(stack.pop()   )  # pop stack & add to Postfix
																stack.append(__A   )  # push x to stack

								print(
								    x.center(8   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		sep=''' | '''    ,		)  # Output in tabular format

				while len(__A   ) > 0:  # while stack is not empty
								post_fix.append(stack.pop()   )  # pop stack & add to Postfix
								print(
								    ''' '''.center(8   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		sep=''' | '''    ,		)  # Output in tabular format

				return "".join(__A   )  # return Postfix as str





def 		_UpperCAmelCase (				__A				: Tuple   ):
				a_		:	Union[str, Any]									=   list(infix[::-1]   )  # reverse the infix equation

				for i in range(len(__A   )   ):
								if infix[i] == "(":
												a_		:	List[str]									=   ''')'''  # change "(" to ")"
								elif infix[i] == ")":
												a_		:	str									=   '''('''  # change ")" to "("

				return (infix_2_postfix(''''''.join(__A   )   ))[
				    ::-1
				]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
		__lowerCAmelCase									=   input('\nEnter an Infix Equation = ')  # Input an Infix equation
		__lowerCAmelCase									=   ''.join(Infix.split())  # Remove spaces from the input
		print('\n\t', Infix, '(Infix) -> ', infix_2_prefix(Infix), '(Prefix)')




