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MiniZinc

int: n;
array[0..n-1] of var 0..n: s;
constraint forall(i in 0..n-1) (
s[i] = (sum(j in 0..n-1)(bool2int(s[j]=i))));
% redundant
constraint sum(i in 0..n-1)(s[i]) = n;
constraint sum(i in 0..n-1)(s[i] * i) = n;
solve satisfy;
output [ "s = ", show(s), ";\n" ] ;