Pea Pattern

문제

Do you see the pattern in the following sequence of numbers?

$1,11,21,1112,3112,211213,312213,\dots 1,\; 11,\; 21,\; 1112,\; 3112,\; 211213,\; 312213,\; \backslash ldots$

Each term describes the makeup of the previous term in the list. For example, the term $31123112$ indicates that the previous term consisted of three $11$'s (that's the $3131$ in $31123112$) and one $22$ (that's the $1212$ in $31123112$). The next term after $31123112$ indicates that it contains two $11$'s, one $22$ and one $33$. This is an example of a pea pattern.

A pea pattern can start with any number. For example, if we start with the number $2090220902$ the sequence would proceed $202219202219$, $1011321910113219$, $10411213191041121319$, and so on. Note that digits with no occurrences in the previous number are skipped in the next element of the sequence.

We know what you're thinking. You're wondering if $101011213141516171829101011213141516171829$ appears in the sequence starting with $2090220902$. Well, this is your lucky day because you're about to find out.

입력

Input consists of a single line containing two positive integers $nn$ and $mm$, where $nn$ is the starting value for the sequence and $mm$ is a target value. Both values will lie between $00$ and ${10}^{100}-110^\{100\}-1$.

출력

If $mm$ appears in the pea pattern that starts with $nn$, display its position in the list, where the initial value is in position $11$. If $mm$ does not appear in the sequence, display Does not appear. We believe that all of these patterns converge on a repeating sequence within $100100$ numbers, but if you find a sequence with more than $100100$ numbers in it, display I'm bored.

1 3112

5

1 3113

Does not appear

20902 101011213141516171829

10