Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_20.py

@@ -0,0 +1,60 @@
+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(name: str, obj: str, surface: str, 
+                          capacity: int, total: int, num_trays: int) -> Dict[str, Any]:
+    max_capacity = capacity * num_trays
+    leftover = total - max_capacity
+    
+    question = f"{name} places {obj}s on the {surface}. Each {surface} can hold {capacity} {obj}s. If he has {total} {obj}s and {num_trays} {surface}s, how many {obj}s won't he be able to place on the {surface}?"
+    
+    answer_cot = f"{name} will be able to place a total of {capacity} x {num_trays} = {max_capacity} {obj}s.\nTherefore, there are {total} - {max_capacity} = {leftover} {obj}s that he won't be able to place on the {surface}.\n#### {leftover}"
+    
+    return {
+        'question': question,
+        'answer': str(leftover),
+        'answer_cot': answer_cot,
+        'answer_value': leftover,
+        'variables': {
+            'name': name,
+            'obj': obj,
+            'surface': surface,
+            'capacity_per_tray': capacity,
+            'total_items': total,
+            'num_trays': num_trays,
+            'max_capacity': max_capacity,
+            'leftover': leftover
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names = ['James', 'John', 'Robert', 'Michael', 'William', 'David', 'Richard']
+    objects = ['olive', 'almond', 'cookie', 'cracker', 'banana'] 
+    surfaces = ['plate', 'table', 'bowl', 'tray', 'basket']
+    
+    name = rng.choice(names)
+    obj = rng.choice(objects)
+    surface = rng.choice(surfaces)
+    
+    capacity = int(rng.randint(20, int(51 * difficulty)))
+    num_trays = int(rng.randint(2, int(7 * difficulty)))
+    
+    # Ensure total is greater than max capacity
+    max_capacity = capacity * num_trays
+    total = max_capacity + int(rng.randint(1, int(20 * difficulty)))
+    
+    result = generate_from_variables(name, obj, surface, capacity, total, num_trays)
+    
+    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('Jaime', 'egg', 'tray', 24, 64, 2)