King Race in Pawn Endgame

This endgame occurred in my game almost 15 years ago.

Jiganchine – Verkhovskaya, Alushta 1997

Black to move.

There are two legitimate questions associated with this position:

1. What move should Black play?
2. With best play from both sides, how should the game end?

Hint: Black stands no chance in the king race, so he must play correctly with his pawns!