Created
April 5, 2016 06:29
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;A 3x3 magic square is a 3x3 grid of the numbers 1-9 such that each row, column, and major diagonal adds up to 15. | |
;[8, 1, 6, 3, 5, 7, 4, 9, 2] => true | |
;[2, 7, 6, 9, 5, 1, 4, 3, 8] => true | |
;[3, 5, 7, 8, 1, 6, 4, 9, 2] => false | |
;[8, 1, 6, 7, 5, 3, 4, 9, 2] => false | |
(defn testMagicSquare [a1 a2 a3 b1 b2 b3 c1 c2 c3] | |
(if (= (+ (+ a1 a2) a3) 15) | |
(if (= (+ (+ b1 b2) b3) 15) | |
(if (= (+ (+ c1 c2) c3) 15) | |
(if (= (+ (+ a1 b1) c1) 15) | |
(if (= (+ (+ a2 b2) c2) 15) | |
(if (= (+ (+ a3 b3) c3) 15) | |
(if (= (+ (+ a1 b2) c3) 15) | |
(if (= (+ (+ a3 b2) c1) 15) | |
(print true) (print false) | |
)(print false) | |
)(print false) | |
)(print false) | |
)(print false) | |
)(print false) | |
)(print false) | |
)(print false) | |
) | |
) | |
(testMagicSquare 8 1 6 3 5 7 4 9 2) | |
(testMagicSquare 2 7 6 9 5 1 4 3 8) | |
(testMagicSquare 3 5 7 8 1 6 4 9 2) | |
(testMagicSquare 8 1 6 7 5 3 4 9 2) |
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