You and a friend decide to play a novel game, wherein each of you has one giant bucket of quarters and a large, rectangular table. The rules of this game are as follows.
1. Each player takes a turn placing one quarter on the table. You cannot skip or cede a turn.
2. Quarters can touch sides, but can never overlap. Quarters cannot stand on their edge, or overhang the table edge.
3. The loser of this game is the first person who cannot place a quarter without a creating an overlap. The winner is the last person to successfully place a quarter, per the rules.
What strategy would you use to ensure you win the game?
(In theory, at least, the type of coin and size of table doesn't matter.)
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