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#lang racket

(require advent-of-code
         threading
         simple-polynomial/tools)

(define histories
  (for/list ([raw-history (in-lines (open-aoc-input (find-session) 2023 9 #:cache #true))])
    (~>> raw-history string-split (map string->number))))

(for/lists (left right #:result (cons (apply + left) (apply + right)))([history (in-list histories)])
  (define f (interpolate-at-integer-points history))
  (values (f -1) (f (length history))))