A---------------------------------------------------------------------------B
       |\                                                                         /|
       | \                                                                       / |
       |  H------G------------------F-----------------E------------------D------C  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  K--------L--------M                  |      |  |
       |  |      |                 /         |         \                 |      |  |
       |  |      I----------------J          |          N----------------O      |  |
       |  |      |                 \         |         /                 |      |  |
       |  |      |                  R--------Q--------P                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  S------T                  U-----------------V                  W-----MM  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                 NN-------OO--------PP                 |      |  | 
       |  |      |                 /         |         \                 |      |  |
       |  |      X----------------Y          |          Z---------------AA      |  |
       |  |      |                 \         |         /                 |      |  |
       |  |      |                  DD-------CC-------BB                 |      |  |
       |  |      |                  |                  |                 |      |  |
       |  |      |                  |                  |                 |      |  |
       |  EE-----FF----------------GG------------------HH---------------II-----JJ  | 
       | /                                                                       \ |
       |/                                                                         \|
      KK---------------------------------------------------------------------------LL


A partial HC is LL JJ II HH GG DD CC BB  Z PP OO NN Y X FF EE KK A H S T I G F K J R
                 U  V  P  Q  L  M  E  D  O  W MM  C B

Orphans are N which connects to M, O & P; and AA which connects to W, Z & II
    


       A---------------------------------------------------------------------------B
       |\                                                                         /|
       | \                                                                       / |
       |  H---1--G---------2--------F--------3--------E---------1--------D---2--C  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  1                 2                  3      |  |
       |  |      |                  K--------L--------M                  |      |  |             |  |      |                 /         |         \                 |      |  |
       |  |      3                3          |          3                |      |  |
       |  |      I-------1--------J          3          N--------2-------O      |  |
       |  |      |                 2         |         1                 |      |  |
       |  |      |                  R----1---Q----2---P                  |      |  |
       |  |      2                  |                 |                  1      |  |
       |  |      |                  3                 3                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  S------T                  U--------1--------V                  W-----MM  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                  2                 2                  |      |  |
       |  |      |                  |                 |                  |      |  |
       |  |      |                 NN---3---OO-----1--PP                 |      |  | 
       |  |      |                 /         |         \                 |      |  |
       |  |      X----------------Y          |          Z---------------AA      |  |
       |  |      |                 \         |         /                 |      |  |
       |  |      |                  DD-------CC-------BB                 |      |  |
       |  |      |                  |                  |                 |      |  |
       |  |      |                  |                  |                 |      |  |
       |  EE-----FF----------------GG------------------HH---------------II-----JJ  | 
       | /                                                                       \ |
       |/                                                                         \|
      KK---------------------------------------------------------------------------LL





  











     
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