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Hey, this is Presh Talwalkar. On the TV show Survivor, contestants faced off in a winner take all competition to try and win one million dollars. Most of the competitions were physical, like hiking many miles or diving underwater, but one of the challenges was mathematical. It involved 21 flags. The contestants were divided into two teams that would take turns removing flags. Each team has to remove 1, 2 or 3 flags on a turn. The team that removed the final flag wins the game. Mathematically one team can always win this game. The puzzle for you is which team is it and what is that teams winning strategy. Give this problem a try and when youre ready keep watching the video for the solution. So whats the winning strategy when there are 21 flags? Its not so easy to figure out, instead we consider the game by thinking ahead and reasoning backward. We try and imagine what would happen if wed start a turn with a specific number of flags, and we would decide whether we can win or lose t