Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_70.py

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+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(name: str, objects: str, n: int, obstacle: str, 
+                          frac: float, k: int, fake_num: int, fake_object: str) -> Dict[str, Any]:
+    
+    dropped = int(n * frac)
+    remaining = n - dropped
+    found = k
+    after_finding = remaining + found
+    final = after_finding - fake_num
+    
+    question = f"{name} has a bag of {objects} with {n} inside. He tripped over {obstacle} while carrying it and dropped {dropped} of them. He scrambled to search for them but only came up with {k}. When he went back home, he inspected the {objects} further. {fake_num} of them he picked up wasn't a {objects}, but actually {fake_object} so he got rid of it. How many {objects} did {name} end up with?"
+    
+    answer_cot = f"{name} dropped his {objects} and was left with {n}*{1-frac}={remaining} {objects}.\n" \
+                 f"He searched and found some of his lost {objects}, getting him back to {remaining}+{k}={after_finding} {objects}.\n" \
+                 f"He went home and removed {fake_object}, leaving him with {after_finding}-{fake_num}={final} {objects}.\n" \
+                 f"#### {final}"
+    
+    return {
+        'question': question,
+        'answer': str(final),
+        'answer_cot': answer_cot,
+        'answer_value': final,
+        'variables': {
+            'name': name,
+            'objects': objects,
+            'initial_count': n,
+            'obstacle': obstacle,
+            'fraction_dropped': frac,
+            'found_count': k,
+            'fake_count': fake_num,
+            'fake_object': fake_object,
+            'remaining': remaining,
+            'after_finding': after_finding,
+            'final_count': final
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names = ["James", "John", "Robert", "Michael", "William", "David", "Richard", "Joseph"]
+    objects = ["marbles", "coins", "buttons", "beads", "pebbles"]
+    obstacles = ["rock", "stick", "toy", "root"]
+    fake_objects = ["buttons", "coins", "pebbles", "beads"]
+    fractions = [0.5, 0.25, 0.75]
+    
+    name = rng.choice(names)
+    obj = rng.choice(objects)
+    obstacle = rng.choice(obstacles)
+    fake_object = rng.choice([x for x in fake_objects if x != obj])
+    frac = rng.choice(fractions)
+    
+    n = int(rng.randrange(10, int(101 * difficulty), 2))
+    fake_num = int(rng.randint(2, min(10, int(n * frac))))
+    k = int(rng.randint(fake_num + 1, min(int(n * frac), int(20 * difficulty))))
+    
+    # Ensure conditions are met
+    while not (isinstance(n * frac, int) and k < n * frac and k > fake_num):
+        n = int(rng.randrange(10, int(101 * difficulty), 2))
+        k = int(rng.randint(fake_num + 1, min(int(n * frac), int(20 * difficulty))))
+    
+    result = generate_from_variables(name, obj, n, obstacle, frac, k, fake_num, fake_object)
+    
+    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("Brendan", "marbles", 10, "pebble", 0.5, 3, 1, "bead")