Description

A Kaprekar number is a unique type of number. It must be a four-digit number. When split into two parts, the tens and units digits form a new number $a$, and the thousands and hundreds digits form a new number $b$. If $(a+b)^2$ equals the original number, then it is a Kaprekar number.
For example, $3025$ is split into $30$ and $25$, and $(30+25)^2 = 3025$, so $3025$ is a Kaprekar number.
Now, please help find all Kaprekar numbers.

Input Format

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Output Format

Output a single line containing all Kaprekar numbers, separated by spaces.

Sample

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