Updated production rules:
rule_4: A4 -> 1 8 7 6 5 4 3 2
rule_6: A6 -> 30 15 14 13 12 11 10 9
rule_8: A8 -> 31 29 28 27 26 25 24 23
rule_9: A9 -> 32 22 21 20 19 18 17 16