*five digit positive decimal (base 10) integer(s)*of the form

**abbbb**, with

**a ≠ b**, that contain no leading zeroes, such that (

**abbbb**is equal to a

^{2}- 1)*positive ten digit integer*(with no leading zeroes) containing each of the digits 0 to 9 exactly once.

__Note__: While the solution may be trivial with the aid of a computer program, show how to derive it without one.