Dave Johnson is a book collector. Over the years, he collected so many
books that he decided he needed to buy some new bookcases. He bought enough
cases, of different quality, to fit all of his books. One problem remained,
however. He wanted to put his favorite books in a special display on the
top shelf of his best bookcase. This shelf is wide enough to fit at most
10 books.
This would normally be an easy task, but Dave is particular about the way he displays his
favorite books. Not only must they be sorted alphabetically by title, but also there must never be
two books next to each other that have the same letter in the same position in the title. Note that
Dave looks only at alphabetical characters in the titles of his books, skipping spaces, apostrophes,
etc., and he ignores the case of the letters. Thus, in the title "Portnoy's Complaint", 's' is the
8th character, and 'c' is the 9th character. As an example, "The Grapes Of Wrath" and "One Flew Over
The Cuckoo's Nest" cannot be next to each other since the third letter of each title is the letter
'e'.
In order to help make this decision, Dave has assigned an emotional
value to each of his books. Given a list of titles and the emotional value
of each book, your job is to help Dave decide which books should go on
his top shelf so as to maximize the total emotional value of all of the
books.
12 117 The Pearl 42 L'Etranger 135 Hamlet 100 War And Peace 55 The Prince 175 Of Mice And Men 200 The Grapes Of Wrath 120 Ulysses 87 For Whom The Bell Tolls 10 Oliver Twist 50 Snow Crash 110 Great Expectations
8 969 For Whom The Bell Tolls Great Expectations Hamlet L'Etranger Of Mice And Men The Grapes Of Wrath Ulysses War And Peace