Update app.py

app.py

@@ -35,17 +35,19 @@ class BasicAgent:
             }  
         
     def check_commutativity(self):
-        S = ['a', 'b', 'c', 'd', 'e']
-        counter_example_elements = set()
-
-        # Check for commutativity violations
-        for x in S:
-            for y in S:
-                if self.operation_table[x][y] != self.operation_table[y][x]:
-                    counter_example_elements.add(x)
-                    counter_example_elements.add(y)
-                    
-       return sorted(counter_example_elements)
+    S = ['a', 'b', 'c', 'd', 'e']
+    counter_example_elements = set()
+
+    # Check for commutativity violations
+    for x in S:
+        for y in S:
+            if self.operation_table[x][y] != self.operation_table[y][x]:
+                counter_example_elements.add(x)
+                counter_example_elements.add(y)
+
+    # Return the sorted list of elements involved in violations
+    return sorted(counter_example_elements)
+
         
     def maybe_reversed(self, text: str) -> bool:
         words = text.split()