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b4521ea28f
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b4521ea28f | ||
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d6874ad24f |
@ -24,8 +24,14 @@ Enter a Postfix Equation (space separated) = 5 6 9 * +
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Result = 59
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Result = 59
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"""
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"""
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# Defining valid unary operator symbols
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UNARY_OP_SYMBOLS = ("-", "+")
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def get_number(data: str) -> tuple[bool, int] | tuple[bool, float] | tuple[bool, str]:
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# Defining valid binary operator symbols
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BINARY_OP_SYMBOLS = ("-", "+", "*", "^", "/")
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def get_number(data: str) -> int | float | str:
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"""
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"""
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Converts the given data to appropriate number if it is indeed a number, else returns
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Converts the given data to appropriate number if it is indeed a number, else returns
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the data as it is with a False flag. This function also serves as a check of whether
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the data as it is with a False flag. This function also serves as a check of whether
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@ -43,20 +49,19 @@ def get_number(data: str) -> tuple[bool, int] | tuple[bool, float] | tuple[bool,
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or numeric) and 'b' is either an integer of a floating point number.
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or numeric) and 'b' is either an integer of a floating point number.
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If 'a' is False, then b is 'data'
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If 'a' is False, then b is 'data'
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"""
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"""
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int_val = 0
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float_val = 0.0
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try:
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try:
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int_val = int(data)
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return int(data)
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return True, int_val
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except ValueError:
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except ValueError:
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try:
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try:
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float_val = float(data)
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return float(data)
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return True, float_val
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except ValueError:
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except ValueError:
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return False, data
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if is_operator(data):
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return data
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msg = f"{data} is neither a number nor a valid operator"
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raise ValueError(msg)
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def is_operator(data: str) -> bool:
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def is_operator(data: str | int | float) -> bool:
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"""
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"""
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Checks whether a given input is one of the valid operators or not.
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Checks whether a given input is one of the valid operators or not.
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Valid operators being '-', '+', '*', '^' and '/'.
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Valid operators being '-', '+', '*', '^' and '/'.
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@ -71,10 +76,10 @@ def is_operator(data: str) -> bool:
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bool
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bool
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True if data is an operator else False.
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True if data is an operator else False.
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"""
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"""
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return data in ["-", "+", "*", "^", "/"]
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return data in BINARY_OP_SYMBOLS
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def evaluate(post_fix: list, verbose: bool = False) -> int | float | str | None:
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def evaluate(post_fix: list[str], verbose: bool = False) -> int | float | str | None:
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"""
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"""
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Function that evaluates postfix expression using a stack.
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Function that evaluates postfix expression using a stack.
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>>> evaluate(["2", "1", "+", "3", "*"])
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>>> evaluate(["2", "1", "+", "3", "*"])
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@ -83,6 +88,8 @@ def evaluate(post_fix: list, verbose: bool = False) -> int | float | str | None:
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6.6
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6.6
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>>> evaluate(["2", "-", "3", "+"])
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>>> evaluate(["2", "-", "3", "+"])
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1
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1
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>>> evaluate(["-4", "5", "*", "6", "-"])
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-26
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>>> evaluate([])
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>>> evaluate([])
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0
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0
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@ -100,7 +107,9 @@ def evaluate(post_fix: list, verbose: bool = False) -> int | float | str | None:
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int
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int
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The evaluated value
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The evaluated value
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"""
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"""
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x: str | int | float
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stack = []
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stack = []
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valid_expression = []
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opr = {
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opr = {
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"^": lambda p, q: p**q,
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"^": lambda p, q: p**q,
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"*": lambda p, q: p * q,
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"*": lambda p, q: p * q,
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@ -108,84 +117,87 @@ def evaluate(post_fix: list, verbose: bool = False) -> int | float | str | None:
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"+": lambda p, q: p + q,
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"+": lambda p, q: p + q,
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"-": lambda p, q: p - q,
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"-": lambda p, q: p - q,
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} # operators & their respective operation
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} # operators & their respective operation
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if len(post_fix) > 0:
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if len(post_fix) == 0:
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return 0
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# Checking the list to find out whether the postfix expression is valid
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for x in post_fix:
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valid_expression.append(get_number(x))
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if verbose:
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# print table header
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print("Symbol".center(8), "Action".center(12), "Stack", sep=" | ")
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print("-" * (30 + len(post_fix)))
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for x in valid_expression:
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if not is_operator(x):
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stack.append(x) # append x to stack
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if verbose:
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# output in tabular format
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print(
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str(x).rjust(8),
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("push(" + str(x) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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continue
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# If x is operator
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# If only 1 value is inside stack and + or - is encountered
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# then this is unary + or - case
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if x in UNARY_OP_SYMBOLS and len(stack) < 2:
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b = stack.pop() # pop stack
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if x == "-":
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b *= -1 # negate b
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stack.append(b)
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if verbose:
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# output in tabular format
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print(
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"".rjust(8),
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("pop(" + str(b) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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print(
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str(x).rjust(8),
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("push(" + str(x) + str(b) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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continue
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b = stack.pop() # pop stack
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if verbose:
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if verbose:
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# print table header
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# output in tabular format
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print("Symbol".center(8), "Action".center(12), "Stack", sep=" | ")
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print(
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print("-" * (30 + len(post_fix)))
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"".rjust(8),
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for x in post_fix:
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("pop(" + str(b) + ")").ljust(12),
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is_number, x = get_number(x)
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stack,
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if is_number: # if x is a number (integer, float)
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sep=" | ",
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stack.append(x) # append x to stack
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)
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if verbose:
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# output in tabular format
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print(
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str(x).rjust(8),
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("push(" + str(x) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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elif is_operator(x):
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# If only 1 value is inside stack and + or - is encountered
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# then this is unary + or - case
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if x in ["-", "+"] and len(stack) < 2:
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b = stack.pop() # pop stack
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if x == "-":
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stack.append(-b) # negate b and push again into stack
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else: # when x is unary +
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stack.append(b)
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if verbose:
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# output in tabular format
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print(
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"".rjust(8),
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("pop(" + str(b) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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print(
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str(x).rjust(8),
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("push(" + str(x) + str(b) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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else:
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b = stack.pop() # pop stack
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if verbose:
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# output in tabular format
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print(
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"".rjust(8),
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("pop(" + str(b) + ")").ljust(12),
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stack,
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sep=" | ",
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)
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a = stack.pop() # pop stack
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a = stack.pop() # pop stack
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if verbose:
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if verbose:
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# output in tabular format
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# output in tabular format
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print(
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print(
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"".rjust(8),
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"".rjust(8),
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("pop(" + str(a) + ")").ljust(12),
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("pop(" + str(a) + ")").ljust(12),
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stack,
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stack,
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sep=" | ",
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sep=" | ",
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)
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)
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# evaluate the 2 values popped from stack & push result to stack
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# evaluate the 2 values popped from stack & push result to stack
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stack.append(opr[x](a, b))
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stack.append(opr[str(x)](a, b))
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if verbose:
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if verbose:
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# output in tabular format
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# output in tabular format
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print(
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print(
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str(x).rjust(8),
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str(x).rjust(8),
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("push(" + str(a) + str(x) + str(b) + ")").ljust(12),
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("push(" + str(a) + str(x) + str(b) + ")").ljust(12),
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stack,
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stack,
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sep=" | ",
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sep=" | ",
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)
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)
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else:
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# else:
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print(f"{x} is neither a number, nor a valid operator")
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# msg = f"{x} is neither a number nor a valid operator"
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break
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# raise ValueError(msg)
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# If everything executed correctly,the stack will contain
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# If everything executed correctly, the stack will contain
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# only one element which is the result
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# only one element which is the result
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result = stack[0] if len(stack) == 1 else None
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if len(stack) != 1:
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return result
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raise ArithmeticError("Input is not a valid postfix expression")
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return 0
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return stack[0]
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def is_yes(val: str) -> bool:
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def is_yes(val: str) -> bool:
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@ -203,18 +215,20 @@ def is_yes(val: str) -> bool:
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bool
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bool
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True if Yes, otherwise False
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True if Yes, otherwise False
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"""
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"""
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return val in ["Y", "y"]
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return val in ("Y", "y")
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if __name__ == "__main__":
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if __name__ == "__main__":
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loop = True
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loop = True
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# Creating a loop so that user can evaluate postfix expression multiple times
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# Creating a loop so that user can evaluate postfix expression multiple times
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while loop:
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while True:
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expression = input("Enter a Postfix Expression (space separated): ").split(" ")
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expression = input("Enter a Postfix Expression (space separated): ").split(" ")
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choice = input("Do you want to see stack contents while evaluating? [y/N]: ")
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choice = input(
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"Do you want to see stack contents while evaluating? [y/N]: "
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).strip()
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display = is_yes(choice)
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display = is_yes(choice)
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output = evaluate(expression, display)
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output = evaluate(expression, display)
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if output is not None:
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print("Result = ", output)
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print("Result = ", output)
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choice = input("Do you want to enter another expression? [y/N]: ")
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choice = input("Do you want to enter another expression? [y/N]: ")
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loop = is_yes(choice)
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if not is_yes(choice):
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break
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