Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_27.py

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+from random import Random
+from typing import Dict, Any
+import math
+
+def generate_from_variables(name: str, n: int, n_first: int, apartments_each: int, 
+                          percent_bigger: int, freq: int, rate: float,
+                          currency: str) -> Dict[str, Any]:
+    
+    first_two = n_first * apartments_each
+    third_complex = int(first_two * percent_bigger/100)
+    total_apartments = first_two + third_complex + first_two
+    weekly_visits = total_apartments * freq
+    weekly_earnings = int(weekly_visits * rate)
+    
+    question = f"{name} collects garbage from {n} different apartment complexes. The first {n_first} have {apartments_each} apartments each and the last one is {percent_bigger}% bigger than the other {n_first} combined. {name} collects garbage {freq} times a week from each place and he gets paid {currency}{rate:.2f} per collection for each apartment. How much money does he make in a week?"
+    
+    answer_cot = f"The first {n_first} complexes have {first_two} apartments\n" \
+                 f"The third one has {first_two}*{percent_bigger/100}={third_complex} more apartments than those {n_first} combined\n" \
+                 f"So in total, it has {first_two}+{third_complex}={first_two + third_complex} apartments\n" \
+                 f"So he goes to {first_two + third_complex}+{first_two}={total_apartments} apartments each time\n" \
+                 f"That means he visits {total_apartments}*{freq}={weekly_visits} apartments every week\n" \
+                 f"So he makes {weekly_visits}*{currency}{rate:.2f}={currency}{weekly_earnings} every week\n" \
+                 f"#### {weekly_earnings}"
+
+    return {
+        'question': question,
+        'answer': str(weekly_earnings),
+        'answer_cot': answer_cot, 
+        'answer_value': weekly_earnings,
+        'variables': {
+            'name': name,
+            'num_complexes': n,
+            'first_complexes': n_first,
+            'apartments_per_complex': apartments_each,
+            'percent_increase': percent_bigger,
+            'collections_per_week': freq,
+            'rate_per_apartment': rate,
+            'currency': currency,
+            'total_apartments': total_apartments,
+            'weekly_visits': weekly_visits
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names = ['John', 'Michael', 'David', 'James', 'Robert', 'William']
+    currencies = ['$', '£', '€']
+    
+    name = rng.choice(names)
+    currency = rng.choice(currencies)
+    
+    n = rng.randint(3, max(3, int(8 * difficulty)))
+    n_first = n - 1
+    apartments = int(rng.randrange(100, int(500 * difficulty), 50))
+    percent = rng.randrange(20, int(81 * difficulty), 5)
+    freq = rng.randint(2, max(2, int(6 * difficulty)))
+    rates = [0.25, 0.30, 0.35, 0.40, 0.45, 0.50]
+    rate = rng.choice(rates)
+
+    # Ensure results are integers
+    while not ((n-1)*apartments*percent/100).is_integer():
+        apartments = int(rng.randrange(100, int(500 * difficulty), 50))
+        percent = rng.randrange(20, int(81 * difficulty), 5)
+    
+    result = generate_from_variables(name, n, n_first, apartments, percent, freq, rate, currency)
+    
+    return {
+        'question': result['question'],
+        'answer': result['answer'],
+        'metadata': {
+            'difficulty': difficulty,
+            'answer_value': result['answer_value'],
+            'answer_cot': result['answer_cot'],
+            'variables': result['variables']
+        }
+    }
+
+def original_example() -> Dict[str, Any]:
+    return generate_from_variables('John', 3, 2, 200, 60, 3, 0.40, '$')