A modified *Kaprekar number* is a positive whole number n with d digits, such that when we split its square into two pieces – a right hand piece r with d digits and a left hand piece l that contains the remaining d or d−1 digits, the sum of the pieces is equal to the original number (i.e. l + r = n).

**Note:** r may have leading zeros.

Here’s an explanation from Wikipedia about the **ORIGINAL** Kaprekar Number (spot the difference!): *In mathematics, a Kaprekar number for a given base is a non-negative integer, the representation of whose square in that base can be split into two parts that add up to the original number again. For instance, 45 is a Kaprekar number, because 45² = 2025 and 20+25 = 45.*

**The Task**

You are given the two positive integers p and q, where p is lower than q. Write a program to determine how many Kaprekar numbers are there in the range between p and q (both inclusive) and display them all.

There will be two lines of input: p, lowest value q, highest value

**Constraints**:

**0<p<q<100000**

Output each Kaprekar number in the given range, space-separated on a single line. If no Kaprekar numbers exist in the given range, print *INVALID RANGE*.

1, 9, 45, 55, and 99 are the Kaprekar Numbers in the given range.

**Solution**