Start with the following mumbers on the board: 1, 2, 3,, 2019. We consider the following...

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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? 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?