Circular Table

There is a circular table. You and your friend have infinite number of coins. Both of you place one coin in each turn on the table. Coin can be placed only in the empty space. Whoever places the last coin wins the game. If you are starting first, design a strategy so you will always win.

solution:

1. put your 1st coin in the center.
2. wherever your opponent put his coin, place your coin in the mirror position based on your 1st coin.
Reason: whenever your opponent can find a place, so will you.

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