Bob and beaver plays a game against sam the squirrel. At first bob removes 4 number the list 1-8. Then sam deletes 2 of the remaining number. Bob wants the posi

Bob and beaver plays a game against sam the squirrel. At first bob removes 4 number the list 1-8. Then sam deletes 2 of the remaining number. Bob wants the positive difference between the remaining 2 numbers to be as large as possible. Sam wants this positive difference to be as small as possible. Both bob and sam know what the other player is trying to achieve.
what is the positive difference between the last 2 numbers if both bob and sam play as well as possible?