Yes, I believe that your solution is correct. BrowserUK beat you by one minute and a bunch of characters, but you included a checker, and spotted my mistake (which I won't pretend was deliberate). Well done.

I'm not sure I agree with your character count, as the code doesn't print anything. Replacing $_ with print at the end adds three characters. However, you do qualify for a 2-stroke bonus under the revised rules for not using any 2-digit combinations in your code.