Mutliple session choices extend beyond the bottom of the screen

12.10
unity-greeter 12.10.4-0ubuntu5

I expected an easy choice of desktop session after installing multiple desktop environments. Instead, making a choice is very difficult.

The list of available desktop environments in unity-greeter does not resize itself or provide easy navigation on small screens. When more than a couple of choices are available on a small screen, the list extends beyond the bottom of the screen. It is then very difficult to select items at the bottom of the list and equally difficult to hit the OK button. I have not found any easy way to navigate this list. Tab/Space does not work well when you cannot see the choices.

On my Lenovo S10-3 with a 10.1 inch screen, Unity, KDE, and LXDE take up 7 slots. Any additional desktop sessions and the OK button are scrolled off the bottom of the screen.

Suggestions:

-Have the list of sessions scroll up and down with the arrow keys similar to the list of users in the greeter

-Remove the need to hit an additional button after selecting a session. <Enter> could confirm the choice instead.