Question 162
Pasha and Vova play the following game, making moves in turn; Pasha moves first. Initially they have a large piece of plasticine. By a move, Pasha cuts one of the existing pieces into three (of arbitrary sizes), and Vova merges two existing pieces into one. Pasha wins if at some moment there appears to be 100 pieces of equal weights. Can Vova prevent Pasha's win? (R. Efremov, D. Belov)