==== system_size = 1 ==== ---- variation = 1 ---- | 1 | * * head = 0 orbit = 1 size: 1 variation: 1 head: 0 orbit: 1 ==== system_size = 2 ==== ---- variation = 1 ---- | 1 | 1 | * * * head = 0 orbit = 1 ---- variation = 2 ---- | 2 | 1 | * * * head = 0 orbit = 2 ---- variation = 3 ---- | 1 | 2 | * * * head = 0 orbit = 1 ---- variation = 4 ---- | 2 | 2 | * * * head = 1 orbit = 1 size: 1 variation: 1 head: 0 orbit: 1 size: 2 variation: 1 head: 0 orbit: 1 size: 2 variation: 2 head: 0 orbit: 2 size: 2 variation: 3 head: 0 orbit: 1 size: 2 variation: 4 head: 1 orbit: 1 ==== system_size = 3 ==== ---- variation = 1 ---- | 1 | 1 | 1 | * * * * head = 0 orbit = 1 ---- variation = 2 ---- | 2 | 1 | 1 | * * * * head = 0 orbit = 2 ---- variation = 3 ---- | 3 | 1 | 1 | * * * * head = 0 orbit = 2 ---- variation = 4 ---- | 1 | 2 | 1 | * * * * head = 0 orbit = 1 ---- variation = 5 ---- | 2 | 2 | 1 | * * * * head = 1 orbit = 1 ---- variation = 6 ---- | 3 | 2 | 1 | * * * * head = 0 orbit = 2 ---- variation = 7 ---- | 1 | 3 | 1 | * * * * head = 0 orbit = 1 ---- variation = 8 ---- | 2 | 3 | 1 | * * * * head = 0 orbit = 3 ---- variation = 9 ---- | 3 | 3 | 1 | * * * * head = 0 orbit = 2 ---- variation = 10 ---- | 1 | 1 | 2 | * * * * head = 0 orbit = 1 ---- variation = 11 ---- | 2 | 1 | 2 | * * * * head = 0 orbit = 2 ---- variation = 12 ---- | 3 | 1 | 2 | * * * * head = 0 orbit = 3 ---- variation = 13 ---- | 1 | 2 | 2 | * * * * head = 0 orbit = 1 ---- variation = 14 ---- | 2 | 2 | 2 | * * * * head = 1 orbit = 1 ---- variation = 15 ---- | 3 | 2 | 2 | * * * * head = 2 orbit = 1 ---- variation = 16 ---- | 1 | 3 | 2 | * * * * head = 0 orbit = 1 ---- variation = 17 ---- | 2 | 3 | 2 | * * * * head = 1 orbit = 2 ---- variation = 18 ---- | 3 | 3 | 2 | * * * * head = 1 orbit = 2 ---- variation = 19 ---- | 1 | 1 | 3 | * * * * head = 0 orbit = 1 ---- variation = 20 ---- | 2 | 1 | 3 | * * * * head = 0 orbit = 2 ---- variation = 21 ---- | 3 | 1 | 3 | * * * * head = 1 orbit = 1 ---- variation = 22 ---- | 1 | 2 | 3 | * * * * head = 0 orbit = 1 ---- variation = 23 ---- | 2 | 2 | 3 | * * * * head = 1 orbit = 1 ---- variation = 24 ---- | 3 | 2 | 3 | * * * * head = 1 orbit = 1 ---- variation = 25 ---- | 1 | 3 | 3 | * * * * head = 0 orbit = 1 ---- variation = 26 ---- | 2 | 3 | 3 | * * * * head = 2 orbit = 1 ---- variation = 27 ---- | 3 | 3 | 3 | * * * * head = 1 orbit = 1 size: 1 variation: 1 head: 0 orbit: 1 size: 2 variation: 1 head: 0 orbit: 1 size: 2 variation: 2 head: 0 orbit: 2 size: 2 variation: 3 head: 0 orbit: 1 size: 2 variation: 4 head: 1 orbit: 1 size: 3 variation: 1 head: 0 orbit: 1 size: 3 variation: 2 head: 0 orbit: 2 size: 3 variation: 3 head: 0 orbit: 2 size: 3 variation: 4 head: 0 orbit: 1 size: 3 variation: 5 head: 1 orbit: 1 size: 3 variation: 6 head: 0 orbit: 2 size: 3 variation: 7 head: 0 orbit: 1 size: 3 variation: 8 head: 0 orbit: 3 size: 3 variation: 9 head: 0 orbit: 2 size: 3 variation: 10 head: 0 orbit: 1 size: 3 variation: 11 head: 0 orbit: 2 size: 3 variation: 12 head: 0 orbit: 3 size: 3 variation: 13 head: 0 orbit: 1 size: 3 variation: 14 head: 1 orbit: 1 size: 3 variation: 15 head: 2 orbit: 1 size: 3 variation: 16 head: 0 orbit: 1 size: 3 variation: 17 head: 1 orbit: 2 size: 3 variation: 18 head: 1 orbit: 2 size: 3 variation: 19 head: 0 orbit: 1 size: 3 variation: 20 head: 0 orbit: 2 size: 3 variation: 21 head: 1 orbit: 1 size: 3 variation: 22 head: 0 orbit: 1 size: 3 variation: 23 head: 1 orbit: 1 size: 3 variation: 24 head: 1 orbit: 1 size: 3 variation: 25 head: 0 orbit: 1 size: 3 variation: 26 head: 2 orbit: 1 size: 3 variation: 27 head: 1 orbit: 1 h: 0 o: 0 count: 0 percent: 0.000000 h: 0 o: 1 count: 9 percent: 0.288000 h: 0 o: 2 count: 6 percent: 0.192000 h: 0 o: 3 count: 2 percent: 0.064000 h: 0 o: 4 count: 0 percent: 0.000000 h: 0 o: 5 count: 0 percent: 0.000000 h: 1 o: 0 count: 0 percent: 0.000000 h: 1 o: 1 count: 6 percent: 0.192000 h: 1 o: 2 count: 2 percent: 0.064000 h: 1 o: 3 count: 0 percent: 0.000000 h: 1 o: 4 count: 0 percent: 0.000000 h: 1 o: 5 count: 0 percent: 0.000000 h: 2 o: 0 count: 0 percent: 0.000000 h: 2 o: 1 count: 2 percent: 0.064000 h: 2 o: 2 count: 0 percent: 0.000000 h: 2 o: 3 count: 0 percent: 0.000000 h: 2 o: 4 count: 0 percent: 0.000000 h: 2 o: 5 count: 0 percent: 0.000000 h: 3 o: 0 count: 0 percent: 0.000000 h: 3 o: 1 count: 0 percent: 0.000000 h: 3 o: 2 count: 0 percent: 0.000000 h: 3 o: 3 count: 0 percent: 0.000000 h: 3 o: 4 count: 0 percent: 0.000000 h: 3 o: 5 count: 0 percent: 0.000000 h: 4 o: 0 count: 0 percent: 0.000000 h: 4 o: 1 count: 0 percent: 0.000000 h: 4 o: 2 count: 0 percent: 0.000000 h: 4 o: 3 count: 0 percent: 0.000000 h: 4 o: 4 count: 0 percent: 0.000000 h: 4 o: 5 count: 0 percent: 0.000000 h: 5 o: 0 count: 0 percent: 0.000000 h: 5 o: 1 count: 0 percent: 0.000000 h: 5 o: 2 count: 0 percent: 0.000000 h: 5 o: 3 count: 0 percent: 0.000000 h: 5 o: 4 count: 0 percent: 0.000000 h: 5 o: 5 count: 0 percent: 0.000000