Cluster 0:
    u......tap
    u.......tap
    u......tap
    u......tapp
    u......tapp
    u.......taop
    u.tap
Cluster 1:
    u.......tao.cp
    u.......taoo
    u.......tao.cp
    u.tao..cpp
    u......taoccp
    utaoccop
    u.......taococp
    u......taoo
    utapocp
Cluster 2:
    u......tau.tp
    u......tapu.tp
Cluster 3:
Cluster 4:
Cluster 5:
Cluster 6:
    u.......taodcp
    u.......taodcp
Cluster 7:
    u......ta
    u.......taou......ta
    u.......tad
    u.......ta.
    u......ta.
    u......tau......ta
    u......tac
    u.......tau......ta
Cluster 8:
Cluster 9:
Cluster 10:
    u......tad
Cluster 11:
    u.tao..dddcuta
Cluster 12:
