
def 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__		):
      UpperCamelCase__    :   List[str]					=				[]
      UpperCamelCase__    :   str					=				[]
      UpperCamelCase__    :   str					=				{
          '''^''': 3,
          '''*''': 2,
          '''/''': 2,
          '''%''': 2,
          '''+''': 1,
          '''-''': 1,
      }  # Priority of each operator
      UpperCamelCase__    :   Union[str, Any]					=				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 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__		):
      UpperCamelCase__    :   List[str]					=				list(infix[::-1]		)  # reverse the infix equation

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

      return (infix_2_postfix(''''''.join(UpperCamelCase__		)		))[
          ::-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)")








from __future__ import annotations

from collections.abc import Callable


def 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__ ,		UpperCamelCase__ ,		UpperCamelCase__ ,		UpperCamelCase__ = 1_0_0 ,		):
      UpperCamelCase__    :   Union[str, Any]					=				x_start
      UpperCamelCase__    :   List[Any]					=				fnc(UpperCamelCase__		)
      UpperCamelCase__    :   Any					=				0.0
      for _ in range(UpperCamelCase__		):
            # Approximates small segments of curve as linear and solve
            # for trapezoidal area
            UpperCamelCase__    :   str					=				(x_end - x_start) / steps + xa
            UpperCamelCase__    :   Dict					=				fnc(UpperCamelCase__		)
            area += abs(fxa + fxa		) * (xa - xa) / 2
            # Increment step
            UpperCamelCase__    :   Tuple					=				xa
            UpperCamelCase__    :   Union[str, Any]					=				fxa
      return area


if __name__ == "__main__":


    def 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__		):
          return x**3 + x**2

    print("f(x) = x^3 + x^2")
    print("The area between the curve, x = -5, x = 5 and the x axis is:")
    lowerCamelCase      =1_0
    while i <= 1_0_0_0_0_0:
        print(F'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
        i *= 1_0


