Shirley is in a hall full of Nobel laureates, and finds a mother-daughter duo that each won for Chemistry in separate years-- 1911 and 1935! She counts each year from 1911 until 1935 inclusive, taking as many seconds as the largest power of 2 which divides that year.
For example, if a year is odd, she takes 1 second. If a year is divisible by 2 but not by 4, she takes 2 seconds. If a year is divisible by 4 but not by 8, she takes 4 seconds.
How long does it take her to count all of the years?
Bonus Trivia Question: Who were the mother-daughter Nobel Prize winners?