Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_6.py

@@ -0,0 +1,52 @@
+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(n_girls: int, place: str, multiplier: int) -> Dict[str, Any]:
+    n_boys = n_girls * multiplier
+    total_kids = n_girls + n_boys
+    
+    question = f"There are {n_girls} girls in the {place}. If there are {multiplier} times the number of boys in the {place}, how many kids are in the {place}?"
+    
+    answer_cot = f"There are {n_girls} girls x {multiplier} boys/girl = {n_boys} boys in the {place}.\nIn total there are {n_girls} girls + {n_boys} boys = {total_kids} kids in the {place}\n#### {total_kids}"
+
+    return {
+        'question': question,
+        'answer': str(total_kids),
+        'answer_cot': answer_cot,
+        'answer_value': total_kids,
+        'variables': {
+            'n_girls': n_girls,
+            'place': place,
+            'multiplier': multiplier,
+            'n_boys': n_boys,
+            'total_kids': total_kids
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    places = ['park', 'yard', 'field', 'playground', 'garden']
+    multipliers = [2, 3, 4] # twice, triple, quadruple
+
+    place = rng.choice(places)
+    multiplier = rng.choice(multipliers)
+    
+    # Scale n_girls with difficulty but ensure result is valid
+    n_girls = int(rng.randint(5, int(50 * difficulty)))
+    while n_girls * (multiplier + 1) > 200:
+        n_girls = int(rng.randint(5, int(50 * difficulty)))
+
+    result = generate_from_variables(n_girls, place, multiplier)
+    
+    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(6, 'park', 2)