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Build a prediction model

I want to make a model to predict the out come of a game while it is still being played. My data consist of the result of the past games and some simple information about the state of those games such as scores and positions of each player. The information are taken every minute until the end of the game. I have many sample for the game where each sample is the result + info about the game perminute. the max minute is 60 so if the game end before 60 minutes then the data will just be the initial value 0.