

"""simple docstring"""


def    a__   (   __SCREAMING_SNAKE_CASE			)     ->     str:
		__lowerCAmelCase:	Tuple   				=      []
		__lowerCAmelCase:	List[Any]   				=      []
		__lowerCAmelCase:	List[str]   				=      {
		    '''^''': 3,
		    '''*''': 2,
		    '''/''': 2,
		    '''%''': 2,
		    '''+''': 1,
		    '''-''': 1,
		}  # Priority of each operator
		__lowerCAmelCase:	Dict   				=      len(UpperCamelCase__			) if (len(UpperCamelCase__			) > 7) else 7

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

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

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

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

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






def    a__   (   __SCREAMING_SNAKE_CASE			)     ->     int:
		__lowerCAmelCase:	int   				=      list(infix[::-1]			)  # reverse the infix equation

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

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


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





"""simple docstring"""


from math import ceil






def    a__   (   __SCREAMING_SNAKE_CASE ,			__SCREAMING_SNAKE_CASE			)     ->     str:
		__lowerCAmelCase:	Tuple   				=      list(range(0 ,			__SCREAMING_SNAKE_CASE			)			)

		__lowerCAmelCase:	Optional[Any]   				=      [item for sublist in list(device_map.values()			) for item in sublist]

		# Duplicate check
		__lowerCAmelCase:	List[Any]   				=      []
		for i in device_map_blocks:
				if device_map_blocks.count(__SCREAMING_SNAKE_CASE			) > 1 and i not in duplicate_blocks:
						duplicate_blocks.append(__SCREAMING_SNAKE_CASE			)
    # Missing blocks
		__lowerCAmelCase:	Optional[Any]   				=      [i for i in blocks if i not in device_map_blocks]
		__lowerCAmelCase:	List[Any]   				=      [i for i in device_map_blocks if i not in blocks]

		if len(__SCREAMING_SNAKE_CASE			) != 0:
				raise ValueError(
				    "Duplicate attention blocks specified in device_map. Attention blocks must be specified to one device."
				    " These attention blocks were specified more than once: " + str(__SCREAMING_SNAKE_CASE			)			)
		if len(__SCREAMING_SNAKE_CASE			) != 0:
				raise ValueError(
				    "There are attention blocks for this model that are not specified in the device_map. Add these attention "
				    "blocks to a device on the device_map: " + str(__SCREAMING_SNAKE_CASE			)			)
		if len(__SCREAMING_SNAKE_CASE			) != 0:
				raise ValueError(
				    "The device_map contains more attention blocks than this model has. Remove these from the device_map:"
				    + str(__SCREAMING_SNAKE_CASE			)			)






def    a__   (   __SCREAMING_SNAKE_CASE ,			__SCREAMING_SNAKE_CASE			)     ->     str:
		__lowerCAmelCase:	List[Any]   				=      list(range(__SCREAMING_SNAKE_CASE			)			)
		__lowerCAmelCase:	Dict   				=      int(ceil(n_layers / len(__SCREAMING_SNAKE_CASE			)			)			)
		__lowerCAmelCase:	Union[str, Any]   				=      [layers[i : i + n_blocks] for i in range(0 ,			__SCREAMING_SNAKE_CASE ,			__SCREAMING_SNAKE_CASE			)]

		return dict(zip(__SCREAMING_SNAKE_CASE ,			__SCREAMING_SNAKE_CASE			)			)


