Five students count from 1 to 100 as follows:
- Alice says all the numbers, except she skips the middle number in each consecutive group of three numbers. That is, Alice says 1,3,4,6,7,9,…,97,99,100.
- Barbara says all of the numbers that Alice doesn't say, except she also skips the middle number in each consecutive group of three numbers.
- Candice says all of the numbers that neither Alice nor Barbara says, except she also skips the middle number in each consecutive group of three numbers.
- Debbie says all of the numbers that none of the students with the first names beginning before hers in the alphabet say, except she also skips the middle number in each of her consecutive groups of three numbers.
- Finally, Eliza says the only number that no one else says.
What number does Eliza say?
