|
|
|
@ -0,0 +1,80 @@
|
|
|
|
|
#lang scribble/lp2
|
|
|
|
|
@(require scribble/manual aoc-racket/helper)
|
|
|
|
|
|
|
|
|
|
@aoc-title[25]
|
|
|
|
|
|
|
|
|
|
@defmodule[aoc-racket/day25]
|
|
|
|
|
|
|
|
|
|
@link["http://adventofcode.com/day/25"]{The puzzle}. Our @link-rp["day25-input.txt"]{input} is a row and column number for a grid.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
@chunk[<day25>
|
|
|
|
|
<day25-setup>
|
|
|
|
|
<day25-q1>
|
|
|
|
|
<day25-test>]
|
|
|
|
|
|
|
|
|
|
@section{What code do you give the machine?}
|
|
|
|
|
|
|
|
|
|
The puzzle involves a series of codes in a grid. The first code is @racket[20151125] and subsequent codes are computed by multiplying by @racket[252533] and calculating the remainder after dividing by @racket[33554393]. Then the codes are put into a grid in diagonal fashion, in the order shown:
|
|
|
|
|
|
|
|
|
|
@tt{
|
|
|
|
|
| 1 2 3 4 5 6
|
|
|
|
|
@(linebreak)
|
|
|
|
|
++++++++++++++++++++++ @(linebreak)
|
|
|
|
|
|
|
|
|
|
1 | 1 3 6 10 15 21 @(linebreak)
|
|
|
|
|
|
|
|
|
|
2 | 2 5 9 14 20 @(linebreak)
|
|
|
|
|
|
|
|
|
|
3 | 4 8 13 19 @(linebreak)
|
|
|
|
|
|
|
|
|
|
4 | 7 12 18 @(linebreak)
|
|
|
|
|
|
|
|
|
|
5 | 11 17 @(linebreak)
|
|
|
|
|
|
|
|
|
|
6 | 16}
|
|
|
|
|
|
|
|
|
|
The grid is described as infinite. But this doesn't play a role in the puzzle, since our job is to find the number at the finite coordinate given in our input. So we need a function for finding the @italic{n}th code in the series, and a function for finding which @italic{n} resides at a given grid location. Short & sweet.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
@chunk[<day25-setup>
|
|
|
|
|
(require racket rackunit)
|
|
|
|
|
(provide (all-defined-out))
|
|
|
|
|
]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
@chunk[<day25-q1>
|
|
|
|
|
|
|
|
|
|
(define first-code 20151125)
|
|
|
|
|
|
|
|
|
|
(define (next-code code)
|
|
|
|
|
(modulo (* code 252533) 33554393))
|
|
|
|
|
|
|
|
|
|
(define (nth-code n)
|
|
|
|
|
(for/fold ([code-so-far first-code])
|
|
|
|
|
([i (in-range (sub1 n))])
|
|
|
|
|
(next-code code-so-far)))
|
|
|
|
|
|
|
|
|
|
(define (rc->n row col)
|
|
|
|
|
(define first-col-val (add1 (apply + (range row))))
|
|
|
|
|
(define col-offset-val (apply + (range (add1 row) (+ row col))))
|
|
|
|
|
(+ first-col-val col-offset-val))
|
|
|
|
|
|
|
|
|
|
(define (q1 input-str)
|
|
|
|
|
(match-define (list _ row col)
|
|
|
|
|
(map string->number
|
|
|
|
|
(regexp-match #px"row (\\d+), column (\\d+)" input-str)))
|
|
|
|
|
(nth-code (rc->n row col)))
|
|
|
|
|
|
|
|
|
|
]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
@section{Testing Day 25}
|
|
|
|
|
|
|
|
|
|
@chunk[<day25-test>
|
|
|
|
|
(module+ test
|
|
|
|
|
(define input-str (file->string "day25-input.txt"))
|
|
|
|
|
(check-equal? (q1 input-str) 19980801))]
|
|
|
|
|
|
|
|
|
|
|