
"""simple docstring"""





def       lowerCamelCase__		(			__snake_case	)							->		Optional[int]:


					"""simple docstring"""





					_UpperCamelCase							 =  []
					_UpperCamelCase							 =  []
					_UpperCamelCase							 =  {
					    '''^''': 3,
					    '''*''': 2,
					    '''/''': 2,
					    '''%''': 2,
					    '''+''': 1,
					    '''-''': 1,
					}  # Priority of each operator
					_UpperCamelCase							 =  len(__snake_case	) if (len(__snake_case	) > 7) else 7

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

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

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

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

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



def       lowerCamelCase__		(			__snake_case	)							->		List[str]:


					"""simple docstring"""





					_UpperCamelCase							 =  list(infix[::-1]	)  # reverse the infix equation

					for i in range(len(__snake_case	)	):
										if infix[i] == "(":
															_UpperCamelCase							 =  ''')'''  # change "(" to ")"
										elif infix[i] == ")":
															_UpperCamelCase							 =  '''('''  # change ")" to "("

					return (infix_2_postfix(''''''.join(__snake_case	)	))[
					    ::-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 graphs.minimum_spanning_tree_kruskal import kruskal



def       lowerCamelCase__		(			)							->		List[Any]:


					"""simple docstring"""





					_UpperCamelCase							 =  9
					_UpperCamelCase							 =  [
					    [0, 1, 4],
					    [0, 7, 8],
					    [1, 2, 8],
					    [7, 8, 7],
					    [7, 6, 1],
					    [2, 8, 2],
					    [8, 6, 6],
					    [2, 3, 7],
					    [2, 5, 4],
					    [6, 5, 2],
					    [3, 5, 14],
					    [3, 4, 9],
					    [5, 4, 10],
					    [1, 7, 11],
					]

					_UpperCamelCase							 =  kruskal(__snake_case,     __snake_case	)

					_UpperCamelCase							 =  [
					    [7, 6, 1],
					    [2, 8, 2],
					    [6, 5, 2],
					    [0, 1, 4],
					    [2, 5, 4],
					    [2, 3, 7],
					    [0, 7, 8],
					    [3, 4, 9],
					]

					assert sorted(__snake_case	) == sorted(__snake_case	)






