N is a perfect square such that the last six digits of N is of the form AABBCC where A, B and C are distinct base ten digits and A is nonzero.

Find the smallest value of N.

What if C shouldn't be zero?

** AABBCC represents the concatenation of the digits and not their product.

*** For an extra challenge solve this puzzle without using a computer program.

For a nonzero C the last 6 digits must be AABB44.

Since no 6-digit square of that pattern exists - go on and search for numbers over 10^6 with the last digits AABB44.

Posted by Ady TZIDON on 2016-11-09 13:23:26