1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | % % Magic sequence in MiniZinc. % Alternative version, see magic_sequence.mzn. % % http://www.dcs.st-and.ac.uk/~ianm/CSPLib/prob/prob019/spec.html % """ % A magic sequence of length n is a sequence of integers x0 . . xn-1 between 0 and n-1, such that for all i in 0 to n-1, the number i occurs exactly xi times in the sequence. For instance, 6,2,1,0,0,0,1,0,0,0 is a magic sequence since 0 occurs 6 times in it, 1 occurs twice, ... % """ % % Model created by Hakan Kjellerstrand, hakank@gmail.com % See also my MiniZinc page: http://www.hakank.org/minizinc % % Licenced under CC-BY-4.0 : http://creativecommons.org/licenses/by/4.0/ int : n = 20; array [0 .. n - 1] of var 0 .. n - 1: s; solve satisfy ; constraint forall(i in 0 .. n - 1) ( s[i] = sum (j in 0 .. n - 1) ( bool2int (s[j]=i)) ) /\ sum (i in 0 .. n - 1) (s[i])=n /\ sum (i in 0 .. n - 1) (s[i]*i) =n ; output [ show (s), "\n" , ]; |