Saving info like trees and such in a file

Hello guys,
I'm intrested in creating programs of games and such which learns while playing and saving the information for further use. For example a tic tac toe game where the program saves evry game it won or lost and creates a tree of some kind that store the information of the game and save it in a file when the program is being quit. The problem i'm having is how to save a tree in a file efficently. Any suggestions?
How does your tree look like,
and What information do you want to save ?
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