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Update infix to postfix (#3817)
* add test to infix_to_postfix_conversion * fixed pre-commit error * fixed build error * updating DIRECTORY.md Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
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@ -674,6 +674,8 @@
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_056/sol1.py)
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* Problem 057
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_057/sol1.py)
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* Problem 058
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_058/sol1.py)
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* Problem 062
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_062/sol1.py)
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* Problem 063
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@ -699,6 +701,8 @@
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_080/sol1.py)
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* Problem 081
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_081/sol1.py)
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* Problem 087
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_087/sol1.py)
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* Problem 091
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* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_091/sol1.py)
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* Problem 097
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@ -817,6 +821,7 @@
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* [Prefix Function](https://github.com/TheAlgorithms/Python/blob/master/strings/prefix_function.py)
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* [Rabin Karp](https://github.com/TheAlgorithms/Python/blob/master/strings/rabin_karp.py)
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* [Remove Duplicate](https://github.com/TheAlgorithms/Python/blob/master/strings/remove_duplicate.py)
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* [Reverse Letters](https://github.com/TheAlgorithms/Python/blob/master/strings/reverse_letters.py)
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* [Reverse Words](https://github.com/TheAlgorithms/Python/blob/master/strings/reverse_words.py)
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* [Split](https://github.com/TheAlgorithms/Python/blob/master/strings/split.py)
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* [Swap Case](https://github.com/TheAlgorithms/Python/blob/master/strings/swap_case.py)
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@ -1,22 +0,0 @@
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class Stack:
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def __init__(self):
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self.stack = []
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self.top = 0
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def is_empty(self):
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return self.top == 0
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def push(self, item):
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if self.top < len(self.stack):
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self.stack[self.top] = item
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else:
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self.stack.append(item)
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self.top += 1
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def pop(self):
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if self.is_empty():
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return None
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else:
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self.top -= 1
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return self.stack[self.top]
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@ -1,57 +1,67 @@
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import string
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"""
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https://en.wikipedia.org/wiki/Infix_notation
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https://en.wikipedia.org/wiki/Reverse_Polish_notation
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https://en.wikipedia.org/wiki/Shunting-yard_algorithm
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"""
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from .balanced_parentheses import balanced_parentheses
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from .stack import Stack
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__author__ = "Omkar Pathak"
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def is_operand(char):
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return char in string.ascii_letters or char in string.digits
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def precedence(char):
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"""Return integer value representing an operator's precedence, or
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def precedence(char: str) -> int:
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"""
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Return integer value representing an operator's precedence, or
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order of operation.
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https://en.wikipedia.org/wiki/Order_of_operations
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"""
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dictionary = {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}
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return dictionary.get(char, -1)
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return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(char, -1)
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def infix_to_postfix(expression):
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"""Convert infix notation to postfix notation using the Shunting-yard
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algorithm.
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https://en.wikipedia.org/wiki/Shunting-yard_algorithm
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https://en.wikipedia.org/wiki/Infix_notation
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https://en.wikipedia.org/wiki/Reverse_Polish_notation
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def infix_to_postfix(expression_str: str) -> str:
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"""
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stack = Stack(len(expression))
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>>> infix_to_postfix("(1*(2+3)+4))")
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Traceback (most recent call last):
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...
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ValueError: Mismatched parentheses
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>>> infix_to_postfix("")
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''
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>>> infix_to_postfix("3+2")
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'3 2 +'
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>>> infix_to_postfix("(3+4)*5-6")
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'3 4 + 5 * 6 -'
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>>> infix_to_postfix("(1+2)*3/4-5")
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'1 2 + 3 * 4 / 5 -'
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>>> infix_to_postfix("a+b*c+(d*e+f)*g")
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'a b c * + d e * f + g * +'
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>>> infix_to_postfix("x^y/(5*z)+2")
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'x y ^ 5 z * / 2 +'
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"""
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if not balanced_parentheses(expression_str):
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raise ValueError("Mismatched parentheses")
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stack = Stack()
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postfix = []
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for char in expression:
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if is_operand(char):
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for char in expression_str:
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if char.isalpha() or char.isdigit():
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postfix.append(char)
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elif char not in {"(", ")"}:
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while not stack.is_empty() and precedence(char) <= precedence(stack.peek()):
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postfix.append(stack.pop())
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stack.push(char)
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elif char == "(":
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stack.push(char)
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elif char == ")":
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while not stack.is_empty() and stack.peek() != "(":
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postfix.append(stack.pop())
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# Pop '(' from stack. If there is no '(', there is a mismatched
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# parentheses.
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if stack.peek() != "(":
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raise ValueError("Mismatched parentheses")
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stack.pop()
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else:
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while not stack.is_empty() and precedence(char) <= precedence(stack.peek()):
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postfix.append(stack.pop())
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stack.push(char)
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while not stack.is_empty():
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postfix.append(stack.pop())
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return " ".join(postfix)
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if __name__ == "__main__":
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from doctest import testmod
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testmod()
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expression = "a+b*(c^d-e)^(f+g*h)-i"
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print("Infix to Postfix Notation demonstration:\n")
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