An allergy test produces a single numeric score which contains the information about all the allergies the person has (that they were tested for).

The list of items (and their value) that were tested are:

• eggs (1)
• peanuts (2)
• shellfish (4)
• strawberries (8)
• tomatoes (16)
• chocolate (32)
• pollen (64)
• cats (128)

So if Tom is allergic to peanuts and chocolate, he gets a score of 34.

Now, given just that score of 34, your program should be able to say:

• Whether Tom is allergic to any one of those allergens listed above.
• All the allergens Tom is allergic to.