2. To store a password written in a $32$-letter alphabet ("ё" is identified with "е"), each letter is represented by its ordinal number - a pair of digits (i.e., А - 01, Б - 02, etc.). This results in a sequence of digits $y_{1}, y_{2}, \ldots$ At the same time, according to the rule $x_{i+1}=r_{10}\left(a x_{i}+b\right)$, a sequence of decimal digits $\left(x_{i}\right)$ is generated, with the minimal period of 10, where $r_{10}(x)$ is the remainder of $x$ divided by $10, a, b$ are natural numbers. After that, according to the rule $c_{i}=r_{10}\left(x_{i}+y_{i}\right)$, the sequence $\left(c_{i}\right)$ is calculated, which is then stored in the computer's memory. Vasya chose a very short word for his password, so he had to repeat it twice when entering it. Help him recover the forgotten password if the stored sequence $\left(c_{i}\right)$ is: 285283198418497 5. Provide the recovered password in lowercase letters (one word).
2. To store a password written in a $32$-letter alphabet ("ё" is identified with "е"), each letter is represented by its ordinal number - a pair of digits (i.e., А - 01, Б - 02, etc.). This results in a sequence of digits $y_{1}, y_{2}, \ldots$ Simultaneously, according to the rule $x_{i+1}=r_{10}\left(a x_{i}+b\right)$, a sequence of decimal digits $\left(x_{i}\right)$ is generated, with the minimal period of 10, where $r_{10}(x)$ is the remainder of $x$ divided by $10$, and $a, b$ are natural numbers. After that, according to the rule $c_{i}=r_{10}\left(x_{i}+y_{i}\right)$, the sequence $\left(c_{i}\right)$ is calculated, which is then stored in the computer's memory. Vasya chose a very short word for his password, so he had to repeat it twice when entering it. Help him recover the forgotten password if the stored sequence $\left(c_{i}\right)$ is: 285283198418497 5. Provide the recovered password in lowercase letters (one word).

Answer: yacht.