$\underline{\text { Folkkior }}$

On the computer screen, a number is displayed that increases by 102 every minute. The initial value of the number is 123. Programmer Fedia has the ability to change the order of the digits of the number on the screen at any moment. Can he ensure that the number never becomes a four-digit number?
One way: as soon as the last digit becomes 1 or 2, change the order of the digits so that it becomes the first digit. After this, Fedya can calmly skip up to seven increments, and the last digit will become 1 or 2 no later than after five increments. This means that Fedya can always reduce the number in time.

## Answer

Can.