Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_51.py

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+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(name: str, parent: str, activity1: str, activity2: str, 
+                          activity3: str, cur: str, times: int, budget: int,
+                          tokens: int, cost1: int, cost2: int) -> Dict[str, Any]:
+    
+    cost_per_ride = cost2 * times
+    cost_per_person = tokens + cost1 + cost_per_ride
+    total_people = budget // cost_per_person
+    friends = total_people - 1
+
+    question = f"{name}'s {parent} said that she had {cur}{budget} budgeted for her birthday party. She wants to make sure she and her friends all get to play one round of {activity1}, have {cur}{tokens} in {activity2} tokens, and get to ride the {activity3} {times}. A round of {activity1} is {cur}{cost1}. The {activity3} cost {cur}{cost2} a ride. How many friends can she invite?"
+
+    answer_cot = f"The {activity3} will cost {cur}{cost_per_ride} per person because {cost2} x {times} = {cost_per_ride}\n" \
+                 f"Each person costs {cur}{cost_per_person} because {tokens} + {cost1} + {cost_per_ride} = {cost_per_person}\n" \
+                 f"{total_people} total people can attend because {budget} / {cost_per_person} = {total_people}\n" \
+                 f"She can invite {friends} friends because {total_people} - 1 = {friends}\n" \
+                 f"#### {friends}"
+
+    return {
+        'question': question,
+        'answer': str(friends),
+        'answer_cot': answer_cot,
+        'answer_value': friends,
+        'variables': {
+            'name': name,
+            'parent': parent,
+            'activity1': activity1,
+            'activity2': activity2,
+            'activity3': activity3,
+            'currency': cur,
+            'times': times,
+            'budget': budget,
+            'tokens': tokens,
+            'cost1': cost1,
+            'cost2': cost2,
+            'cost_per_ride': cost_per_ride,
+            'cost_per_person': cost_per_person,
+            'total_people': total_people
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names_female = ['Emma', 'Olivia', 'Sophia', 'Isabella', 'Mia', 'Charlotte']
+    parents = ['mom', 'dad', 'aunt', 'uncle']
+    activities1 = ['mini-golf', 'bowling', 'laser tag']
+    activities2 = ['arcade', 'game room', 'pinball'] 
+    activities3 = ['go-karts', 'bumper cars', 'roller coaster']
+    currencies = ['$', '£', '€']
+    times_options = [2, 3]
+
+    name = rng.choice(names_female)
+    parent = rng.choice(parents)
+    activity1 = rng.choice(activities1)
+    activity2 = rng.choice(activities2)
+    activity3 = rng.choice(activities3)
+    cur = rng.choice(currencies)
+    times = rng.choice(times_options)
+    
+    tokens = int(rng.randint(3, int(11 * difficulty)))
+    cost1 = int(rng.randint(3, int(11 * difficulty)))
+    cost2 = int(rng.randint(5, int(21 * difficulty)))
+    
+    # Generate budget ensuring conditions are met
+    cost_per_person = tokens + cost1 + (cost2 * times)
+    num_people = rng.randint(2, int(10 * difficulty))
+    budget = cost_per_person * num_people
+
+    result = generate_from_variables(name, parent, activity1, activity2, activity3,
+                                   cur, times, budget, tokens, cost1, cost2)
+    
+    return {
+        'question': result['question'],
+        'answer': result['answer'],
+        'metadata': {
+            'difficulty': difficulty,
+            'answer_value': result['answer_value'],
+            'answer_cot': result['answer_cot'],
+            'variables': result['variables']
+        }
+    }
+
+def original_example() -> Dict[str, Any]:
+    return generate_from_variables('Morgan', 'dad', 'mini-golf', 'arcade', 'go-karts',
+                                 '$', 2, 90, 5, 5, 10)