Due to A.M.SCOtt in the 19th century, it's an incomplete columnar transposition cipher
with alternating single letters and digraphs. The first entry must be a digraph.
In both even and odd periods the first column and the first row always alternate:

Input

N lines (N<1000)
Each line of the input contains the numeric key (permutation order of the columns)
and a plaintext. Plaintext letters are in [A-Z] only with no punctuation.
The keylength max is 9 and the length of the plaintext is limited to 250.
The last line ends with EOF.

Output

Output consist of exactly N lines of ciphertexts with letters in [A-Z] with no spaces.

Example

Input:

41325 INCOMPLETECOLUMNARWITHALTERNATINGSINGLELETTERSANDDIGRAPHS
Output:

 CECRTEGLENPHPLUTNANTEIOMOWIRSITDDSINTNALINESAALEMHATGLRGR