Alan and Bryan meet one Sunday morning to play a game. They sit together at a perfectly circular table with a bag full of perfectly circular coins. The coins are identical. The diameter of the coin is less than that of the table. There is no hole in the table. They have enough coins to cover the entire table. Each player takes turns placing one coin on the table such that no coin touches any other coin or the edge of the table. The game ends when nobody can place a coin. The last one to place a coin wins.
If Alan takes the first turn, who can definitely win the game?