A Square from Two UniDigits

A UniDigital number is any integer whose
digits are all the same, such as 22, 999, 77777, etc. Find any two
UniDigital numbers of from two to eight digits in length whose sum is a
perfect square. Example: 333 + 1111 = 1444 = 38 ^{2}. |

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Last Updated: January 14th, 2010.