Exponentiation game how to approach via dp

can u tell me how using dp we can calculate grundy no. cuz other approach giving tle

Please go through the editorial here

I hope I’ve cleared your doubt. I ask you to please rate your experience here
Your feedback is very important. It helps us improve our platform and hence provide you
the learning experience you deserve.

On the off chance, you still have some questions or not find the answers satisfactory, you may reopen
the doubt.