Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_16.py

@@ -0,0 +1,64 @@
+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(name1: str, name2: str, name3: str, platform: str,
+                          mult1: int, mult2: int, n: int) -> Dict[str, Any]:
+    base_friends = n // mult1  # Dorothy's friends
+    charlie_friends = n  # Charlie's friends 
+    james_friends = base_friends * mult2  # James's friends
+    
+    question = f"{name1} has {mult1} times as many {platform} friends as {name2}. {name3} has {mult2} times as many friends on {platform} as {name2}. If {name1} has {n} friends on {platform}, how many {platform} friends does {name3} have?"
+    
+    answer_cot = f"{name2} has {n} / {mult1} = {base_friends} {platform} friends.\n{name3} has {mult2} * {base_friends} = {james_friends} {platform} friends.\n#### {james_friends}"
+    
+    return {
+        'question': question,
+        'answer': str(james_friends),
+        'answer_cot': answer_cot,
+        'answer_value': james_friends,
+        'variables': {
+            'name1': name1,
+            'name2': name2,
+            'name3': name3,
+            'platform': platform,
+            'mult1': mult1,
+            'mult2': mult2,
+            'base_friends': base_friends,
+            'charlie_friends': charlie_friends,
+            'james_friends': james_friends
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names = ['Charlie', 'Dorothy', 'James', 'Sarah', 'Michael', 'Emily', 'David']
+    platforms = ['Instagram', 'Twitter', 'LinkedIn', 'TikTok', 'Snapchat']
+    
+    name1, name2, name3 = rng.sample(names, 3)
+    platform = rng.choice(platforms)
+    
+    # Generate multipliers that will be different
+    mult1 = rng.randint(2, int(5 * difficulty))
+    mult2 = rng.randint(2, int(5 * difficulty))
+    while mult2 == mult1:
+        mult2 = rng.randint(2, int(5 * difficulty))
+        
+    # Generate n that's divisible by mult1
+    base = rng.randint(4, int(20 * difficulty))
+    n = base * mult1
+    
+    result = generate_from_variables(name1, name2, name3, platform, mult1, mult2, n)
+    
+    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('Charlie', 'Dorothy', 'James', 'Facebook', 
+                                 3, 4, 12)