@ -19,8 +19,6 @@ Also, whereas a path between cities had a start and end, a seating arrangement i
Those wrinkles noted, we'll proceed as we did in @secref{Day_9}. We'll parse the input data and put the happiness scores into a hash table. Then we'll loop through all possible seating arrangements with @racket[in-permutations] and see what the best score is.
Those wrinkles noted, we'll proceed as we did in @secref{Day_9}. We'll parse the input data and put the happiness scores into a hash table. Then we'll loop through all possible seating arrangements with @racket[in-permutations] and see what the best score is.
Math jocks might note that because our seating arrangement is circular, our permutations will include a lot of ``rotationally equivalent'' arrangements — e.g., @racket['(A B C D)] is the same as @racket['(B C D A)] and @racket['(C D A B)]. If we had more people, or the happiness function were more expensive, we might want to prune out these equivalent arrangements as a performance optimization. But in this case, it's unnecessary.
@chunk[<day13-setup>
@chunk[<day13-setup>
@ -48,6 +46,7 @@ Math jocks might note that because our seating arrangement is circular, our perm
]
]
@chunk[<day13-q1>
@chunk[<day13-q1>
(define (q1 input-str)
(define (q1 input-str)
@ -60,6 +59,9 @@ Math jocks might note that because our seating arrangement is circular, our perm
(apply max table-arrangement-scores))]
(apply max table-arrangement-scores))]
@margin-note{Math jocks might note that because our seating arrangement is circular, our permutations will include a lot of ``rotationally equivalent'' arrangements — e.g., @racket['(A B C D)] is the same as @racket['(B C D A)] and @racket['(C D A B)]. If we had more people, or the happiness function were more expensive, we might want to prune out these equivalent arrangements as a performance optimization. But in this case, it's unnecessary.}
@section{What's the optimal happiness score, including ourself in the seating?}
@section{What's the optimal happiness score, including ourself in the seating?}