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2 changed files with 33 additions and 21 deletions
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@ -28,11 +28,13 @@ Answer (one possible solution):
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B=7, A=8, S=2, E=9, L=1, G=1, M=0
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Summation: 7829 + 7811 = 15640 (the puzzle might produce a different arrangement, but the principle is the same)."""
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@dataclass
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class CryptarithmConfig:
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"""Configuration for Cryptarithm dataset generation."""
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min_words: int = 2 # Minimum number of addends
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max_words: int = 3 # Maximum number of addends
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min_words: int = 2 # Minimum number of addends
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max_words: int = 3 # Maximum number of addends
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allow_leading_zero: bool = False
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seed: Optional[int] = None
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size: int = 20 # Number of puzzle instances to generate
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@ -40,10 +42,10 @@ class CryptarithmConfig:
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def validate(self):
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"""Validate configuration parameters."""
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assert 2 <= self.min_words <= self.max_words, \
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"min_words must be <= max_words, both >= 2."
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assert 2 <= self.min_words <= self.max_words, "min_words must be <= max_words, both >= 2."
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assert self.size > 0, "Dataset size must be positive."
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class CryptarithmDataset(ProceduralDataset):
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"""
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Generates cryptarithm puzzles by:
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@ -54,6 +56,7 @@ class CryptarithmDataset(ProceduralDataset):
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This approach guarantees sum correctness and avoids repeated failures.
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"""
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def __init__(self, config: CryptarithmConfig):
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super().__init__(config=config, seed=config.seed, size=config.size)
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@ -63,7 +66,7 @@ class CryptarithmDataset(ProceduralDataset):
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def _create_single_puzzle(self, rng: Random) -> dict:
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"""
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Creates one puzzle with N addends (2..3) plus a result.
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Creates one puzzle with N addends (2..3) plus a result.
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Ensures total distinct digits <= 10.
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"""
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# 1) Pick how many addends
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@ -80,7 +83,7 @@ class CryptarithmDataset(ProceduralDataset):
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else:
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# leading digit is from 1..9, rest are from 0..9
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# e.g. random integer in [10^(length-1), 10^length - 1]
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num = rng.randint(10**(length - 1), 10**length - 1)
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num = rng.randint(10 ** (length - 1), 10**length - 1)
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words_numbers.append(num)
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# 3) Compute the sum
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@ -89,6 +92,7 @@ class CryptarithmDataset(ProceduralDataset):
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# 4) Gather all digits from the addends and the sum
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digits_in_use = set()
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def collect_digits(num: int):
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return set(str(num))
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@ -111,8 +115,8 @@ class CryptarithmDataset(ProceduralDataset):
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# Then the solver has to figure it out. They don't see the digits, only letters.
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digits_in_use_list = sorted(list(digits_in_use)) # e.g. ['0', '1', '3', '9']
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rng.shuffle(digits_in_use_list) # shuffle so mapping is random
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letters_pool = [chr(i) for i in range(ord('A'), ord('Z') + 1)]
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rng.shuffle(digits_in_use_list) # shuffle so mapping is random
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letters_pool = [chr(i) for i in range(ord("A"), ord("Z") + 1)]
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rng.shuffle(letters_pool)
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chosen_letters = letters_pool[: len(digits_in_use_list)]
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@ -124,8 +128,8 @@ class CryptarithmDataset(ProceduralDataset):
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# If leading-zero is not allowed, we must ensure that the first digit of each addend and the sum
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# does not map to the letter that is assigned to digit '0'. If we see a conflict, we can just re-pick
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# or we can try to swap letters. The simplest is to re-pick for demonstration.
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if not self.config.allow_leading_zero and '0' in digit_to_letter:
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zero_letter = digit_to_letter['0']
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if not self.config.allow_leading_zero and "0" in digit_to_letter:
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zero_letter = digit_to_letter["0"]
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# Check the first digit of each addend and of the sum
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for wn in words_numbers:
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first_digit = str(wn)[0]
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@ -170,14 +174,14 @@ class CryptarithmDataset(ProceduralDataset):
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f"{puzzle_text}\n\n"
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"Each letter stands for a unique digit (0-9). "
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+ (
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"Leading letters may be zero.\n"
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"Leading letters may be zero.\n"
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if self.config.allow_leading_zero
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else "No leading letter can be zero.\n"
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)
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+ "Provide a mapping from letters to digits that satisfies the equation.\n"
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)
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if self.config.include_example:
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question_str += "Here's an example:\n"+EXAMPLE_CASE
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question_str += "Here's an example:\n" + EXAMPLE_CASE
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# 8) Create a human-readable answer, e.g. "A=1,B=0,C=9,..."
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sorted_letter_keys = sorted(letter_to_digit.keys())
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@ -198,4 +202,5 @@ class CryptarithmDataset(ProceduralDataset):
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},
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}
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register_dataset("cryptarithm", CryptarithmDataset, CryptarithmConfig)
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