Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_87.py

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+from random import Random
+from typing import Dict, Any
+from fractions import Fraction
+
+def generate_from_variables(name: str, unit: str, weight_large: int, weight_medium: int, 
+                          weight_small: Fraction, num_large: int, num_medium: int, 
+                          num_small: int, total_amount: int) -> Dict[str, Any]:
+    
+    large_used = num_large * weight_large
+    medium_used = num_medium * weight_medium
+    small_used = float(num_small * weight_small)
+    total_used = large_used + medium_used + small_used
+    remaining = total_amount - total_used
+    
+    question = f"{name} wants to make different sized ice cubes with {total_amount} {unit}s of water. He can make giant cubes that use {weight_large} {unit}s per cube, medium cubes that use {weight_medium} {unit}s, and small cubes that use {weight_small} an {unit}. If he makes {num_large} giant cubes, {num_medium} medium cubes, and {num_small} small cubes, how many {unit}s of water does he have left?"
+    
+    answer_cot = f"The giant cubes used up {large_used} {unit}s of water because {num_large} times {weight_large} equals {large_used}.\n" \
+                 f"The medium cubes used up {medium_used} {unit}s of water because {num_medium} times {weight_medium} equals {medium_used}.\n" \
+                 f"The small cubes used up {int(small_used)} {unit}s of water because {num_small} times {weight_small} equals {int(small_used)}.\n" \
+                 f"This means that {name} has used up {int(total_used)} {unit}s of water because {large_used} plus {medium_used} plus {int(small_used)} equals {int(total_used)}.\n" \
+                 f"{name} has {int(remaining)} {unit}s of water left because {total_amount} minus {int(total_used)} equals {int(remaining)}.\n" \
+                 f"#### {int(remaining)}"
+
+    return {
+        'question': question,
+        'answer': str(int(remaining)),
+        'answer_cot': answer_cot,
+        'answer_value': int(remaining),
+        'variables': {
+            'name': name,
+            'unit': unit,
+            'weight_large': weight_large,
+            'weight_medium': weight_medium,
+            'weight_small': weight_small,
+            'num_large': num_large,
+            'num_medium': num_medium,
+            'num_small': num_small,
+            'total_amount': total_amount,
+            'remaining': remaining
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names = ["Peter", "John", "Michael", "David", "James", "Robert", "William"]
+    units = ["ounce", "gram", "milliliter"]
+    
+    name = rng.choice(names)
+    unit = rng.choice(units)
+    
+    weight_large = int(rng.randint(7, int(14 * difficulty)))
+    weight_medium = int(rng.randint(3, weight_large - 1))
+    weight_small = Fraction(1, 2)
+    
+    num_large = int(rng.randint(2, int(8 * difficulty)))
+    num_medium = int(rng.randint(4, int(12 * difficulty)))
+    num_small = rng.choice([14, 24, 15])
+    
+    # Calculate needed total to ensure positive remainder
+    used = num_large * weight_large + num_medium * weight_medium + float(num_small * weight_small)
+    total_amount = int(used + rng.randint(1, int(10 * difficulty)))
+
+    result = generate_from_variables(name, unit, weight_large, weight_medium, weight_small,
+                                   num_large, num_medium, num_small, total_amount)
+    
+    return {
+        'question': result['question'],
+        'answer': result['answer'],
+        'metadata': {
+            'difficulty': difficulty,
+            'answer_value': result['answer_value'],
+            'answer_cot': result['answer_cot'],
+            'variables': result['variables']
+        }
+    }
+
+def original_example() -> Dict[str, Any]:
+    return generate_from_variables("Peter", "ounce", 4, 2, Fraction(1,2), 3, 7, 8, 32)