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. If Mary has a score of 17, she must be allergic to tomatoes and eggs, but not peanuts or shellfish.
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.
scorecard:
1: "eggs",
2: "peanuts",
4: "shellfish",
8: "strawberries",
16: "tomatoes",
32: "chocolate",
64: "pollen",
128: "cats"