With no Chandragupta Maurya, how long does the Nanda Empire last?

Much is uncertain about Chandragupta Maurya (his ancestry, his early life, whether he really did abdicate his throne to become a Jain ascetic, etc.), but there are some things we know about him for certain. One of those certainties is that he conquered the Nanda Empire and replaced it with the Maurya Empire.

I have a question: if he had never been born, how long could the Nanda Empire have lasted?
 
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