Created
January 30, 2014 23:43
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my version of david nolen's core.logic sudoku solver
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(ns logic.sudoku | |
(:refer-clojure :exclude [==]) | |
(:use [clojure.core.logic]) | |
(:require [clojure.core.logic.fd :as fd])) | |
(defn init-board [vars puzzle] | |
(matche [vars puzzle] | |
([[] []] | |
succeed) | |
([[_ . more-vars] [0 . more-puzzle]] | |
(init-board more-vars more-puzzle)) | |
([[num . more-vars] [num . more-puzzle]] | |
(init-board more-vars more-puzzle)))) | |
(defn solve [puzzle] | |
(let [sdnum (fd/domain 1 2 3 4 5 6 7 8 9) | |
board (repeatedly 81 lvar) | |
rows (into [] (map vec (partition 9 board))) | |
cols (apply map vector rows) | |
get-square (fn [x y] | |
(for [x (range x (+ x 3)) | |
y (range y (+ y 3))] | |
(get-in rows [x y]))) | |
squares (for [x (range 0 9 3) | |
y (range 0 9 3)] | |
(get-square x y))] | |
(run* [q] | |
(== q board) | |
(everyg #(fd/in % sdnum) board) | |
(init-board board puzzle) | |
(everyg fd/distinct rows) | |
(everyg fd/distinct cols) | |
(everyg fd/distinct squares)))) | |
(def puzzle1 | |
[0 0 0 0 0 9 0 6 0 | |
0 3 8 0 0 5 0 0 4 | |
0 2 0 0 6 0 0 7 0 | |
0 0 0 0 0 0 3 9 0 | |
0 0 0 9 2 6 0 0 0 | |
0 9 7 0 0 0 0 0 0 | |
0 4 0 0 7 0 0 3 0 | |
5 0 0 4 0 0 2 1 0 | |
0 7 0 8 0 0 0 0 0]) | |
(def puzzle2 | |
[0 3 0 5 0 0 0 0 0 | |
7 0 0 0 6 0 9 0 0 | |
8 2 9 0 0 0 0 0 0 | |
9 6 0 0 3 0 1 0 0 | |
3 0 0 6 0 4 0 0 2 | |
0 0 4 0 8 0 0 7 6 | |
0 0 0 0 0 0 7 5 3 | |
0 0 7 0 5 0 0 0 9 | |
0 0 0 0 0 9 0 1 0]) | |
;; http://www.sudokudragon.com/unsolvable.htm | |
(def puzzle3 | |
[0 8 0 0 0 9 7 4 3 | |
0 5 0 0 0 8 0 1 0 | |
0 1 0 0 0 0 0 0 0 | |
8 0 0 0 0 5 0 0 0 | |
0 0 0 8 0 4 0 0 0 | |
0 0 0 3 0 0 0 0 6 | |
0 0 0 0 0 0 0 7 0 | |
0 3 0 5 0 0 0 8 0 | |
9 7 2 4 0 0 0 5 0]) | |
(comment | |
(partition 9 (first (solve puzzle1))) | |
((7 1 4 2 8 9 5 6 3) | |
(6 3 8 7 1 5 9 2 4) | |
(9 2 5 3 6 4 1 7 8) | |
(8 6 1 5 4 7 3 9 2) | |
(4 5 3 9 2 6 7 8 1) | |
(2 9 7 1 3 8 4 5 6) | |
(1 4 9 6 7 2 8 3 5) | |
(5 8 6 4 9 3 2 1 7) | |
(3 7 2 8 5 1 6 4 9)) | |
(partition 9 (first (solve puzzle2))) | |
((4 3 6 5 9 1 2 8 7) | |
(7 5 1 8 6 2 9 3 4) | |
(8 2 9 4 7 3 5 6 1) | |
(9 6 8 2 3 7 1 4 5) | |
(3 7 5 6 1 4 8 9 2) | |
(2 1 4 9 8 5 3 7 6) | |
(6 9 2 1 4 8 7 5 3) | |
(1 8 7 3 5 6 4 2 9) | |
(5 4 3 7 2 9 6 1 8)) | |
(count (solve puzzle3)) | |
8 | |
) | |
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