B. Obtaining the String

You are given two strings $s$ and $t$. Both strings have length $n$ and consist of lowercase Latin letters. The characters in the strings are numbered from $1$ to $n$. You can successively perform the following move any number of times (possibly, zero): * swap any two adjacent (neighboring) characters of $s$ (i.e. for any $i = {1, 2, \dots, n - 1}$ you can swap $s_i$ and $s_{i + 1})$. You can't apply a move to the string $t$. The moves are applied to the string $s$ one after another. Your task is to obtain the string $t$ from the string $s$. Find any way to do it with at most $10^4$ such moves. _You do not have to minimize the number of moves, just find any sequence of moves of length $10^4$ or less to transform $s$ into $t$._ ## Input The first line of the input contains one integer $n$ ($1 \le n \le 50$) — the length of strings $s$ and $t$. The second line of the input contains the string $s$ consisting of $n$ lowercase Latin letters. The third line of the input contains the string $t$ consisting of $n$ lowercase Latin letters. ## Output If it is impossible to obtain the string $t$ using moves, print "_\-1_". Otherwise in the first line print one integer $k$ — the number of moves to transform $s$ to $t$. Note that $k$ must be an integer number between $0$ and $10^4$ inclusive. In the second line print $k$ integers $c_j$ ($1 \le c_j < n$), where $c_j$ means that on the $j$\-th move you swap characters $s_{c_j}$ and $s_{c_j + 1}$. If you do not need to apply any moves, print a single integer $0$ in the first line and either leave the second line empty or do not print it at all. [samples] ## Note In the first example the string $s$ changes as follows: "_abcdef_" $\rightarrow$ "_abdcef_" $\rightarrow$ "_abdcfe_" $\rightarrow$ "_abdfce_" $\rightarrow$ "_abdfec_". In the second example there is no way to transform the string $s$ into the string $t$ through any allowed moves.