There is an 8x8 array of sleeping humans with ten feet between adjacent humans, with sides in the four cardinal directions. A hero and a villain start ten feet west of the northwest human. The hero goes first. On each turn, a player moves ten feet in one of the cardinal directions. If the hero stops right next to a live human on his turn, the hero wakes him up and the human runs away. If the villain stops right next to a sleeping human on his turn, he kills the human. If either player breaks the rules, they die. How many people can the hero guarantee to save without dying?
(The earth is flat in this puzzle.)
- No skipping turns
- You MUST move exactly ten feet on each turn
- Each of your moves must be in a cardinal direction
- No shouting to wake everyone up