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153 changes: 153 additions & 0 deletions solutions/python/wordy/3/wordy.py
Original file line number Diff line number Diff line change
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"""
Parse and evaluate simple math word problems
returning the answer as an integer.

Handle a set of operations, in sequence.

Since these are verbal word problems, evaluate
the expression from left-to-right, ignoring the
typical order of operations.
"""

STR_TO_OPERATOR: dict = {
"plus": "+",
"minus": "-",
"multiplied": "*",
"divided": "/",
}

WRONG_OPERATORS: list[str] = [
"plus?",
"minus?",
"multiplied?",
"divided?",
"plus plus",
"plus multiplied",
"minus multiplied",
"minus minus",
"multiplied multiplied",
"divided divided",
"What is?",
]


def answer(question: str) -> int:
"""
Evaluate a simple word-based arithmetic question from left to right.

:param question: The input question, e.g., "What is 5 plus 13?"
:type question: str
:returns: The evaluated integer result.
:rtype: int
:raises ValueError: If the operation is unknown or the syntax is invalid.
"""
_validate_errors(question)
result: int = 0
new_question: list[str] = _reformat(question)

if len(new_question) <= 3:
try:
_validate_evaluation_pattern(new_question)
eval_str: str = "".join(new_question)
result = eval(eval_str)
return result
except Exception as exc:
raise ValueError("syntax error") from exc

# Reduce iteratively: evaluate the first three-token slice
# and fold the result left-to-right.
while len(new_question) >= 3:
try:
_validate_evaluation_pattern(new_question[:3])
eval_str: str = "".join(new_question[:3])
val: int = eval(eval_str)
result = val
new_question = [str(result)] + new_question[3:]
if len(new_question) < 3:
_validate_evaluation_pattern(new_question)
return eval("".join(new_question))
except Exception as exc:
raise ValueError("syntax error") from exc
return result


def _validate_evaluation_pattern(val: list) -> None:
"""
Ensure a token slice matches expected evaluation patterns.

:param val: Token slice to validate, e.g.,
['3', '+', '4'] or ['+', '4'] during reduction.
:type val: list
:raises ValueError: If the pattern is invalid (syntax error).
"""
if len(val) == 3 and val[1] not in STR_TO_OPERATOR.values():
raise ValueError("syntax error")

if len(val) == 2 and val[0] not in STR_TO_OPERATOR.values():
raise ValueError("syntax error")


def _reformat(question: str) -> list:
"""
Tokenize a natural-language math question into numbers
and operator symbols.

:param question: Raw question string.
:type question: str
:returns: Token list with numbers and operator symbols.
:rtype: list[str]
"""
# 1: Remove '?' mark
question = question.replace("?", "")
# 2: Convert all operators writen in word into proper math sign
question_list: list[str] = question.split()
formated_question_list: list[str] = []
for item in question_list:
if not (
item.isdigit()
or item in STR_TO_OPERATOR
or item in STR_TO_OPERATOR.values()
or any(val in item for val in STR_TO_OPERATOR.values())
):
continue

if item in STR_TO_OPERATOR:
formated_question_list.append(STR_TO_OPERATOR[item])
elif item.isdigit():
formated_question_list.append(item)
elif item in STR_TO_OPERATOR.values():
formated_question_list.append(item)
elif any(val in item for val in STR_TO_OPERATOR.values()):
formated_question_list.append(item)

return formated_question_list


def _validate_errors(question: str) -> None:
"""
Pre-validate unsupported or malformed questions.

:param question: Raw question string.
:type question: str
:raises ValueError: Unknown operation or malformed
phrasing (syntax error).
"""
if "cubed" in question:
raise ValueError("unknown operation")

for item in WRONG_OPERATORS:
if item in question:
raise ValueError("syntax error")

digits: list[bool] = []
for char in question:
if char.isdigit():
digits.append(True)

operators: list[bool] = []
for key, val in STR_TO_OPERATOR.items():
if key in question or val in question:
operators.append(True)

if not any(digits + operators):
raise ValueError("unknown operation")