Situation 1: The gun has 6 barrels, one of which is loaded. Since there are 3 players, and 1 bullet, say we start off with the barrel farthest from the bullet, so say bullet is in barrel six, we start in barrel 1. The turns go: cat, man 1, and man 2. -1 life to the cat. 8 remaining. The equation for this would be 3x6x9. So the amount of turns to kill this (If the humans were immortal) would be 162