# 2. CONDITION

"Once, during a chess game, I had three times fewer pieces and pawns than my opponent, and six times fewer than the free squares on the board, but I still won the game!" - Ivan Ivanov once told. Should we believe him?
Solution. Suppose Ivan has $n$ pawns and pieces left. If we believe Ivan, at this moment his opponent had $3 n$ pawns and pieces, and there were $-6 n$ empty squares on the board. But then it turns out that there are $n+3 n+6 n=10 n$ squares on the board, while in fact there are 64 - not divisible by 10.

Answer. Do not believe.