Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_34.py

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+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(event: str, item: str, family: str, n: int, m: int, total: int) -> Dict[str, Any]:
+    twins_total = 2 * n
+    remaining = total - twins_total
+    friends_found = remaining - m
+    
+    question = f"The {event} team hid {total} {item}. The {family} twins each found {n} {item}. All the other {item} except {m} were found by their friends. How many {item} did the friends find?"
+    
+    answer_cot = f"The {family} twins found, {n} * 2 = {twins_total} {item}.\nThe number that remained hidden was {total} - {twins_total} = {remaining} {item}\nSince {m} {item} were not found, this means the friends found {remaining} - {m} = {friends_found} {item}\n#### {friends_found}"
+    
+    return {
+        'question': question,
+        'answer': str(friends_found),
+        'answer_cot': answer_cot,
+        'answer_value': friends_found,
+        'variables': {
+            'event': event,
+            'item': item,
+            'family': family,
+            'items_per_twin': n,
+            'unfound_items': m,
+            'total_items': total,
+            'twins_total': twins_total,
+            'friends_found': friends_found
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    events = ["Halloween candy hunt", "Treasure hunt", "Scavenger hunt", "Charity fundraiser"]
+    items = ["eggs", "treats", "toys", "coins", "tokens", "balls", "candies", "goodies"]
+    families = ["Johnson", "Williams", "Mirzakhani", "Lopez", "Garcia", "Lee"]
+    
+    event = rng.choice(events)
+    item = rng.choice(items)
+    family = rng.choice(families)
+    
+    total = int(rng.randint(50, int(201 * difficulty)) // 10 * 10)
+    n = int(rng.randint(10, int(51 * difficulty)))
+    m = int(rng.randint(5, int(21 * difficulty)))
+    
+    # Ensure conditions are met
+    while 2 * n + m >= total:
+        n = int(rng.randint(10, int(51 * difficulty)))
+        m = int(rng.randint(5, int(21 * difficulty)))
+    
+    result = generate_from_variables(event, item, family, n, m, total)
+    
+    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("Easter egg hunt", "eggs", "Smith", 30, 10, 100)