n mod3 mod4 mod12
1 1 1 1 <-(3)
2 2 2 2
3 0 3 3
4 1 0 4 <-(1)
5 2 1 5
6 0 2 6
7 1 3 7
8 2 0 8
9 0 1 9 <-(2)
10 1 2 10
11 2 3 11
12 0 0 0
13 1 1 1 <-(3)
14 2 2 2
15 0 3 3
16 1 0 4 <-(1)
17 2 1 5
18 0 2 6
19 1 3 7
20 2 0 8
21 0 1 9 <-(2)
22 1 2 10
23 2 3 11
24 0 0 0
25 1 1 1 <-(3)