Dattaraya Ramchandra Kaprekar, an Indian recreational mathematician, while experimenting with number properties, made an interesting discovery. He found out that some non-negative integers have the following property: their square can be split into two parts that add up to the original number again. For example: 45² = 2025 and 20+25 = 45. He named them K numbers.

By convention, the second part may start with the digit 0, but must be positive. For example, 999 is a K number, because 999²= 998001, which can be split into 998 and 001, and 998 + 001 = 999. But 100 is not; although 100² = 10000 and 100 + 00 = 100, the second part here is not positive.

To make further researches, he needs a program to test if a given number N is a K number.

Input specifications

A positive integer N will be given where n < 600000.

Output specifications

If N is a K number, output the splited form of the number. For example, if N=45, the output will be: 20 25
If it is not, output "Impossible".