|
| 1 | +""" |
| 2 | +Parse and evaluate simple math word problems |
| 3 | +returning the answer as an integer. |
| 4 | +
|
| 5 | +Handle a set of operations, in sequence. |
| 6 | +
|
| 7 | +Since these are verbal word problems, evaluate |
| 8 | +the expression from left-to-right, ignoring the |
| 9 | +typical order of operations. |
| 10 | +""" |
| 11 | + |
| 12 | +STR_TO_OPERATOR: dict = { |
| 13 | + "plus": "+", |
| 14 | + "minus": "-", |
| 15 | + "multiplied": "*", |
| 16 | + "divided": "/", |
| 17 | +} |
| 18 | + |
| 19 | +WRONG_OPERATORS: list[str] = [ |
| 20 | + "plus?", |
| 21 | + "minus?", |
| 22 | + "multiplied?", |
| 23 | + "divided?", |
| 24 | + "plus plus", |
| 25 | + "plus multiplied", |
| 26 | + "minus multiplied", |
| 27 | + "minus minus", |
| 28 | + "multiplied multiplied", |
| 29 | + "divided divided", |
| 30 | + "What is?", |
| 31 | +] |
| 32 | + |
| 33 | + |
| 34 | +def answer(question: str) -> int: |
| 35 | + """ |
| 36 | + Evaluate a simple word-based arithmetic question from left to right. |
| 37 | +
|
| 38 | + :param question: The input question, e.g., "What is 5 plus 13?" |
| 39 | + :type question: str |
| 40 | + :returns: The evaluated integer result. |
| 41 | + :rtype: int |
| 42 | + :raises ValueError: If the operation is unknown or the syntax is invalid. |
| 43 | + """ |
| 44 | + _validate_errors(question) |
| 45 | + result: int = 0 |
| 46 | + new_question: list[str] = _reformat(question) |
| 47 | + |
| 48 | + if len(new_question) <= 3: |
| 49 | + try: |
| 50 | + _validate_evaluation_pattern(new_question) |
| 51 | + eval_str: str = "".join(new_question) |
| 52 | + result = eval(eval_str) |
| 53 | + return result |
| 54 | + except Exception as exc: |
| 55 | + raise ValueError("syntax error") from exc |
| 56 | + |
| 57 | + # Reduce iteratively: evaluate the first three-token slice |
| 58 | + # and fold the result left-to-right. |
| 59 | + while len(new_question) >= 3: |
| 60 | + try: |
| 61 | + _validate_evaluation_pattern(new_question[:3]) |
| 62 | + eval_str: str = "".join(new_question[:3]) |
| 63 | + val: int = eval(eval_str) |
| 64 | + result = val |
| 65 | + new_question = [str(result)] + new_question[3:] |
| 66 | + if len(new_question) < 3: |
| 67 | + _validate_evaluation_pattern(new_question) |
| 68 | + return eval("".join(new_question)) |
| 69 | + except Exception as exc: |
| 70 | + raise ValueError("syntax error") from exc |
| 71 | + return result |
| 72 | + |
| 73 | + |
| 74 | +def _validate_evaluation_pattern(val: list) -> None: |
| 75 | + """ |
| 76 | + Ensure a token slice matches expected evaluation patterns. |
| 77 | +
|
| 78 | + :param val: Token slice to validate, e.g., |
| 79 | + ['3', '+', '4'] or ['+', '4'] during reduction. |
| 80 | + :type val: list |
| 81 | + :raises ValueError: If the pattern is invalid (syntax error). |
| 82 | + """ |
| 83 | + if len(val) == 3 and val[1] not in STR_TO_OPERATOR.values(): |
| 84 | + raise ValueError("syntax error") |
| 85 | + |
| 86 | + if len(val) == 2 and val[0] not in STR_TO_OPERATOR.values(): |
| 87 | + raise ValueError("syntax error") |
| 88 | + |
| 89 | + |
| 90 | +def _reformat(question: str) -> list: |
| 91 | + """ |
| 92 | + Tokenize a natural-language math question into numbers |
| 93 | + and operator symbols. |
| 94 | +
|
| 95 | + :param question: Raw question string. |
| 96 | + :type question: str |
| 97 | + :returns: Token list with numbers and operator symbols. |
| 98 | + :rtype: list[str] |
| 99 | + """ |
| 100 | + # 1: Remove '?' mark |
| 101 | + question = question.replace("?", "") |
| 102 | + # 2: Convert all operators writen in word into proper math sign |
| 103 | + question_list: list[str] = question.split() |
| 104 | + formated_question_list: list[str] = [] |
| 105 | + for item in question_list: |
| 106 | + if not ( |
| 107 | + item.isdigit() |
| 108 | + or item in STR_TO_OPERATOR |
| 109 | + or item in STR_TO_OPERATOR.values() |
| 110 | + or any(val in item for val in STR_TO_OPERATOR.values()) |
| 111 | + ): |
| 112 | + continue |
| 113 | + |
| 114 | + if item in STR_TO_OPERATOR: |
| 115 | + formated_question_list.append(STR_TO_OPERATOR[item]) |
| 116 | + elif item.isdigit(): |
| 117 | + formated_question_list.append(item) |
| 118 | + elif item in STR_TO_OPERATOR.values(): |
| 119 | + formated_question_list.append(item) |
| 120 | + elif any(val in item for val in STR_TO_OPERATOR.values()): |
| 121 | + formated_question_list.append(item) |
| 122 | + |
| 123 | + return formated_question_list |
| 124 | + |
| 125 | + |
| 126 | +def _validate_errors(question: str) -> None: |
| 127 | + """ |
| 128 | + Pre-validate unsupported or malformed questions. |
| 129 | +
|
| 130 | + :param question: Raw question string. |
| 131 | + :type question: str |
| 132 | + :raises ValueError: Unknown operation or malformed |
| 133 | + phrasing (syntax error). |
| 134 | + """ |
| 135 | + if "cubed" in question: |
| 136 | + raise ValueError("unknown operation") |
| 137 | + |
| 138 | + for item in WRONG_OPERATORS: |
| 139 | + if item in question: |
| 140 | + raise ValueError("syntax error") |
| 141 | + |
| 142 | + digits: list[bool] = [] |
| 143 | + for char in question: |
| 144 | + if char.isdigit(): |
| 145 | + digits.append(True) |
| 146 | + |
| 147 | + operators: list[bool] = [] |
| 148 | + for key, val in STR_TO_OPERATOR.items(): |
| 149 | + if key in question or val in question: |
| 150 | + operators.append(True) |
| 151 | + |
| 152 | + if not any(digits + operators): |
| 153 | + raise ValueError("unknown operation") |
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