# Can't We Just Flip A Coin?

Albert and Bradley can't decide who will get the ball first in a game of basketball. Cathy decides to step in and tell them to pick an integer between $$1$$ and $$100,$$ inclusive. Whoever is closer to the number Cathy randomly picked will get the ball first.

Albert randomly guesses the number $$37.$$ Bradley then picks a number that will maximize his chances of winning. What number did Bradley pick?

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