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283: 3 bulldozer-heptacubes, 3 hanger-heptacubes, 3 jay-heptacubes
3 solutions for A, 4 solutions for B and 5 solutions for C
3×
3×
3×
empty cube at A
(1 of 3)
empty cube at A
(2 of 3)
empty cube at A
(3 of 3)
3× 
3× 