The staff at tiny little cherubs day care center observed their 64 students' eating habits during several lunches. They observed that 59 children ate green beans, 56 ate cauliflower, 60 ate broccoli, 55 ate green beans and cauliflower, 54 ate cauliflower and broccoli, 56 ate green beans and broccoli, and 53 ate all three. How many children did not eat any of these three types of vegetables? How many children ate green beans but not cauliflower? How many children did not eat broccoli? How many children ate only cauliflower? And how many children ate exactly two types of vegetables?