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Kaprekar's Number

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Problem Statement


9 is a Kaprekar number since
9 ^ 2 = 81 and 8 + 1 = 9

297 is also Kaprekar number since
297 ^ 2 = 88209 and 88 + 209 = 297.

In short, for a Kaprekar number k with n-digits, if you square it and add the right n digits to the left n or n-1 digits, the resultant sum is k.

Find if a given number is a Kaprekar number.

[reset] Need a hint? See the Solution

Hint

Use Fixnum.to_s to convert the number into a string to do digit operations.
Use String.to_i to convert back to integer.

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