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137: 3 cleaver-heptacubes, 3 pointer-heptacubes, 3 spatula-heptacubes
1 solution for B, 1 solution for D, 2 solutions for A and 4 solutions for C
3×
3×
3×
empty cube at B
empty cube at D
empty cube at A
(1 of 2)
empty cube at A
(2 of 2)
3× 
3× 