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Create python generator files for gsm symbolic templates
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reasoning_gym/arithmetic/gsm_symbolic/generator_93.py
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reasoning_gym/arithmetic/gsm_symbolic/generator_93.py
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from random import Random
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from typing import Dict, Any
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def generate_from_variables(name1: str, name2: str, name3: str, name4: str,
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creature: str, weapon1: str, weapon2: str, weapon3: str,
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weapon4: str, weapon5: str, n1: int, frac1: float,
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mult1: int, frac2: float) -> Dict[str, Any]:
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kills_arthur = int(n1 * frac1)
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kills_walter = int(kills_arthur * mult1)
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kills_bruce = int(kills_walter * frac2)
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question = f"{name1} slew {n1} {creature} with his mighty {weapon1}, while {name2}, using a {weapon2}, slew {frac1} as many {creature} as {name1}. Using a {weapon3}, {name3} slew {mult1} as many {creature} as {name2}. But {name4}, having forgot his {weapon4} at home, slew {frac2} as many {creature} as {name3} using a {weapon5}. How many {creature} has {name4} slain?"
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answer_cot = f"{name2} slew {frac1} as many {creature} as {name1}, or {n1}*{frac1}={kills_arthur} {creature}.\n{name3} slew {mult1} as many {creature} as {name2}, or {mult1}*{kills_arthur}={kills_walter} {creature}.\n{name4} slew {frac2} as many {creature} as {name3}, or {kills_walter}*{frac2}={kills_bruce} {creature}.\n#### {kills_bruce}"
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return {
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'question': question,
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'answer': str(kills_bruce),
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'answer_cot': answer_cot,
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'answer_value': kills_bruce,
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'variables': {
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'name1': name1,
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'name2': name2,
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'name3': name3,
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'name4': name4,
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'creature': creature,
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'weapon1': weapon1,
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'weapon2': weapon2,
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'weapon3': weapon3,
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'weapon4': weapon4,
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'weapon5': weapon5,
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'initial_kills': n1,
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'fraction1': frac1,
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'multiplier': mult1,
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'fraction2': frac2,
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'kills_arthur': kills_arthur,
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'kills_walter': kills_walter,
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'kills_bruce': kills_bruce
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}
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}
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def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
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names_male = ["Arthur", "Bruce", "Charles", "David", "Edward", "Frederick", "George", "Henry"]
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creatures = ["ogres", "trolls", "goblins", "orcs", "giants"]
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weapons1 = ["sword", "mace", "battle axe", "war hammer"]
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weapons2 = ["spear", "lance", "javelin", "halberd"]
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weapons3 = ["rusty iron axe", "wooden club", "stone hammer", "bone dagger"]
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weapons4 = ["sword", "axe", "mace", "hammer"]
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weapons5 = ["nail file", "butter knife", "wooden spoon", "feather"]
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fractions = [0.25, 0.5, 0.75]
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multipliers = [2, 3, 4]
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name1, name2, name3, name4 = rng.sample(names_male, 4)
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creature = rng.choice(creatures)
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weapon1 = rng.choice(weapons1)
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weapon2 = rng.choice(weapons2)
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weapon3 = rng.choice(weapons3)
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weapon4 = rng.choice(weapons4)
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weapon5 = rng.choice(weapons5)
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# Scale numbers by difficulty but ensure integer results
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n1 = int(rng.randint(50, int(500 * difficulty)) // 50 * 50)
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frac1 = rng.choice(fractions)
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mult1 = rng.choice(multipliers)
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frac2 = rng.choice(fractions)
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# Ensure all divisions result in integers
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while not (n1 * frac1).is_integer() or not (n1 * frac1 * mult1).is_integer() or \
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not (n1 * frac1 * mult1 * frac2).is_integer():
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n1 = int(rng.randint(50, int(500 * difficulty)) // 50 * 50)
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result = generate_from_variables(name1, name2, name3, name4, creature,
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weapon1, weapon2, weapon3, weapon4, weapon5,
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n1, frac1, mult1, frac2)
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return {
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'question': result['question'],
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'answer': result['answer'],
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'metadata': {
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'difficulty': difficulty,
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'answer_value': result['answer_value'],
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'answer_cot': result['answer_cot'],
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'variables': result['variables']
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}
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}
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def original_example() -> Dict[str, Any]:
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return generate_from_variables("Prince Thaddeus", "Prince Arthur", "Prince Walter", "Prince Bruce",
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"dragons", "sword", "spear", "rusty iron axe", "sword", "nail file",
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100, 0.75, 2, 0.2)
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