#0000FC

Tajna

Every evening, little Ivica sends secret messages to little Marica through e-mail. Knowing Ivica's e-letter travels unguarded through the network on its way to Marica's e-mailbox, they have decided to encrypt every message using the following algorithm:


· Suppose Ivica's message consists of N characters.
· Ivica must first find a matrix consisting of R rows and [] columns such that RC and R·C = N. If there is more than one such matrix, Ivica chooses the one with the most rows.
· Ivica writes his message into the matrix in row-major order. In other words, he writes the first segment of the message into the first row, the second segment into the second row and so on.
· The message he sends to Marica is the matrix read in column-major order.


Marica has grown tired of spending her precious time deciphering Ivica's messages, so you must write a program to do it for her.


InputThe input contains the received message, a string of lowercase letters of the English alphabet (with no spaces). The number of letters will be between 1 and 100.

OutputOutput the original (decrypted) message.

Example
[c]Input
bok

Output
bok

Input
koaski

Output
kakosi

Input
boudonuimilcbsai

Output
bombonisuuladici

Third sample test:
Ivica wants to send the message "bombonisuuladici" containing 16 letters. He can use a 1×16, 2×8 or 4×4 matrix. Of these, the 4×4 has the most rows. When the message is written into it, the matrix looks like this:


b o m b
o n i s
u u l a
d i c i

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