## The queen who knows how to do the trick

The queen who knows how to do the trick

This is a puzzle from this youtube video:

The queen claims she can mark every day of the month with just two dice, how does she do it?

It looks complex at first, but it all boils down to representing numbers with two digits, each ranging from 0 to 5, which is just a base-6 system. What is the limit of this system with two digits?

\begin{align*} L &= 6^2 - 1 \\ &= 35 \\ &> 31 \end{align*}

More than enough for any month!