Magic squares of odd order
func magic_square(n {.is_pos && .is_odd}) {
var i = 0
var j = idiv(n, 2)
var magic_square = []
for l in (1 .. n**2) {
magic_square[i][j] = l
if (magic_square[i.dec % n][j.inc % n]) {
i = (i.inc % n)
}
else {
i = (i.dec % n)
j = (j.inc % n)
}
}
return magic_square
}
func print_square(sq) {
var f = "%#{(sq.len**2).len}d";
for row in sq {
say row.map{ f % _ }.join(' ')
}
}
var(n=5) = ARGV»to_i()»...
var sq = magic_square(n)
print_square(sq)
say "\nThe magic number is: #{sq[0].sum}"
Output:
17 24 1 8 15
23 5 7 14 16
4 6 13 20 22
10 12 19 21 3
11 18 25 2 9
The magic number is: 65
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