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287: 3 backpack-heptacubes, 3 bulldozer-heptacubes, 3 hanger-heptacubes
3 solutions for C, 8 solutions for A and many solutions for B
3×
3×
3×
empty cube at C
(1 of 3)
empty cube at C
(2 of 3)
empty cube at C
(3 of 3)
3× 
3× 