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you said " I'm pretty sure that it should be within my "getNumHandshakes()" method but I can't seem to get correct results when I do it that way"
I mean when your handshankes variable in your...

1, I try to understsnd your question 1 , but I don`t understand what you say "implemented it" means

2, the handshakes variable should as an instance variable , beacuse you Recursive your method ...