Do You Have a Caucus Race?

The Do-Do had a caucus race. Everyone ran left and right in any direction they pleased. After half an hour of running, everybody was quite dry again. Who is the winner? Alice didn't have any prizes for a caucus race with her. But she found enough sweets to give exactly one sweet to every runner. Next time, I'll tell you how Alice got so big she filled a whole house. And what happened when she kicked poor Bill the Lizard up and out of the chimney?"