KOLYA AND VITYA PLAY THE FOLLOWING GAME. THERE IS A PILE OF 31 STONES ON THE TABLE. THE BOYS TAKE TURNS MAKING MOVES AND KOLYA BEGINS. IN ONE TURN A PLAYER DIVIDES EVERY PILE WHICH HAS MORE THAN ONE STONE INTO TWO LESSER ONES. THE PLAYER WHO AFTER HIS TURN LEAVES ALL PILES WITH ONLY ONE STONE IN...