An integer **no** is nice when there are positive integers a, b and c such that:

The<>^{2} + b^{2} - ç^{2}.

For example:

**1**is a nice number because 1 = 4^{2}+ 7^{2}- 8^{2}.**3**is a nice number because 3 = 4^{2}+ 6^{2}- 7^{2}.

An integer **no** is nice when there are positive integers a, b and c such that:

The<>^{2} + b^{2} - ç^{2}.

For example:

**1**is a nice number because 1 = 4^{2}+ 7^{2}- 8^{2}.**3**is a nice number because 3 = 4^{2}+ 6^{2}- 7^{2}.