Stringorial

Rabbit Bryan is a romantic person. He likes to dream about wonderful things. Recently, he dreamed that strings are similar to numbers... "But we can add them!" realized Bryan, then thought again and decided that he can multiply them! For example, let's multiply $2$ strings \textbf{A} = ab and \textbf{B} = cde. We have \textbf{A} \times \textbf{B} = (ab) \times (cde) = (a \times cde) + (b \times cde) = acde + bcde = acdebcde. It's really simple! While multiplying, we add the second string to each letter from the first string.

This "multiplication" is different from the regular one: the order of multipliers is important. And to calculate the factorial as a multiplication of sequential strings: \textbf{a} \cdot \textbf{b} \cdot \textbf{c} \cdots \textbf{z} \cdot \textbf{aa} \cdot \textbf{ab} \cdots \textbf{az} \cdot \textbf{ba} \cdots \textbf{zz} \cdot \textbf{aaa} \cdots we need to... just check for yourself how long the result is.