The OP didn’t ask what you can determine for a particular given finite time k. He asked if there is some finite way, period.
This is starting to remind me of wikipedia edit wars. I think it’s time to exit this conversation. OP’s question is answered, if he’s still interested.
This procedure works for all finite N, without knowing what N is. I am confused by your comment.
Given finite time, there is a maximum N that you can test.
The OP didn’t ask what you can determine for a particular given finite time k. He asked if there is some finite way, period.
This is starting to remind me of wikipedia edit wars. I think it’s time to exit this conversation. OP’s question is answered, if he’s still interested.