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 characters.
- Ivica must first find a matrix consisting of rows and columns such that and . 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.
The input contains the received message, a string of lowercase letters of the English alphabet (with no spaces).
The number of letters will be between and .
Output the original (decrypted) message.
Sample Input 1
Sample Output 1
Sample Input 2
Sample Output 2
Sample Input 3
Sample Output 3
Ivica wants to send the message
bombonisuuladici containing letters. He can use a , or matrix. Of these, the has the most rows. When the message is written into it, the matrix looks like this: