There’s a square table, a pile of identical coins standing near it, and one coin is placed on the table with

its center just above the center of the table.

Each player in his turn must take a coin from the pile, and put it on the table. In placing the coin, the

player should follow these rules:

1. None of the other coins must be moved.

2. The coin should not exceed the border of the table.

3. The coin should not be placed partly or entirely above another coin.

A player LOSES the game when he has no room to place a coin on his turn.

Assuming the players are infinitely intelligent, which of the players will win the game (the one who plays

the first move or the one that plays second)?