Start with the following mumbers on the board: 1, 2, 3,, 2019. We consider the following rule: At each step we select two numbers from the board, say r, y, delete z, y from the board, write the numbers (ty). Vity on the board. Is it possible to obtain the following numbers on the board 12, 22, 32, ... 20192 after a finite number of steps?