3. To store a password written in a $32$-letter alphabet ("i" is identified with "j"), each letter is represented by its ordinal number -- a pair of digits (i.e., A - 01, B - 02, etc.). This results in a sequence of digits $y_{1}, y_{2}, \ldots$. Simultaneously, according to the rule $x_{i+1}=r_{10}\left(a x_{i}+b\right), i \in \mathbb{N}$, 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. Then, according to the rule $c_{i}=r_{10}\left(x_{i}+y_{i}\right)$, the sequence $\left(c_{i}\right)$ is computed, which is 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 $\left(c_{i}\right)$ has the form: 285283198418497 5. Provide the recovered password in lowercase letters (one word).
3. To store a password written in a $32$-letter alphabet ("и" is identified with "й"), 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 $x_{i+1}=r_{10}\left(a x_{i}+b\right), i \in \mathbb{N}$, 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. Then, according to the rule $c_{i}=r_{10}\left(x_{i}+y_{i}\right)$, the sequence $\left(c_{i}\right)$ is computed, which is 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 $\left(c_{i}\right)$ has the form: 285283198418497 5. Provide the recovered password in lowercase letters (one word).

Answer: yachta.