




'''simple docstring'''



def 			SCREAMING_SNAKE_CASE_			(							__A    :			Union[str, Any]  )			->			Union[str, Any]:
   _SCREAMING_SNAKE_CASE	=				[]
   _SCREAMING_SNAKE_CASE	=				[]
   _SCREAMING_SNAKE_CASE	=				{
       "^": 3,
       "*": 2,
       "/": 2,
       "%": 2,
       "+": 1,
       "-": 1,
   }  # Priority of each operator
   _SCREAMING_SNAKE_CASE	=				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 			SCREAMING_SNAKE_CASE_			(							__A    :			int  )			->			Optional[Any]:
   _SCREAMING_SNAKE_CASE	=				list(infix[::-1]  )  # reverse the infix equation

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







'''simple docstring'''



import random
def 			SCREAMING_SNAKE_CASE_			(							__A    :			int	,					__A    :			float	,					__A    :			bool = False  )			->			dict:
   _SCREAMING_SNAKE_CASE	=				{i: [] for i in range(__A  )}

   # if probability is greater or equal than 1, then generate a complete graph
   if probability >= 1:
      return complete_graph(__A  )
   # if probability is lower or equal than 0, then return a graph without edges
   if probability <= 0:
      return graph

   # for each couple of nodes, add an edge from u to v
   # if the number randomly generated is greater than probability probability
   for i in range(__A  ):
      for j in range(i + 1	,					__A  ):
         if random.random() < probability:
            graph[i].append(__A  )
            if not directed:
               # if the graph is undirected, add an edge in from j to i, either
               graph[j].append(__A  )
   return graph
def 			SCREAMING_SNAKE_CASE_			(							__A    :			int  )			->			dict:
   return {
       i: [j for j in range(__A  ) if i != j] for i in range(__A  )
   }


if __name__ == "__main__":
 import doctest

 doctest.testmod()

