Implement dynamic AI decision making for Socratic hints vs. direct answers based on turn count and complexity

backend/main.py

@@ -128,16 +128,14 @@ def run_flow_b(message: str, api_key: str, history: Optional[List[ChatMessage]]
     )
     
     num_user_turns = sum(1 for m in history if m.role == "user") if history else 0
-    if num_user_turns >= 2:
-        custom_system = (
-            "Socratic tutor: You have already given multiple hints. Do not ask any more Socratic questions. "
-            "Provide the final direct answer/solution to the initial question immediately now, and ask: 'Do you want to learn something else?'"
-        )
-    else:
-        custom_system = (
-            "Socratic tutor: guide with clear, substantial hints. Continue unless close. "
-            "If close: give solution to the initial question & ask: 'Do you want to learn something else?'"
-        )
+    custom_system = (
+        f"Socratic tutor: guide with clear, substantial hints. "
+        f"Current conversation: {num_user_turns} user turns so far. "
+        "Dynamically decide whether to nudge or give the final direct solution. "
+        "Provide the final direct answer/solution immediately if: the user is close, highly frustrated, "
+        "asks directly for the answer, or if hints exceed topic complexity (e.g., 2 hints for simple topics, 4 for complex topics). "
+        "Otherwise, continue guiding with a hint and ask exactly 1 Socratic question."
+    )
     
     tone_instruction = (
         "JSON: {\"s\":\"sentiment\",\"r\":\"reply\"}\n"

backend/test_sentiment.py

@@ -54,8 +54,9 @@ def test_run_flow_b_force_wrap_up():
             history=history
         )
         
-        # Verify that the force wrap-up system prompt was selected
-        assert "do not ask any more socratic questions" in context.lower()
+        # Verify that turn counting and dynamic decision instructions are injected correctly
+        assert "current conversation: 2 user turns so far" in context.lower()
+        assert "dynamically decide" in context.lower()
         print("Mocked force wrap-up test passed!")
 
 if __name__ == "__main__":