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59: 3 P-pentacubes, 3 L4-pentacubes
2 solutions for B, 2 solutions for H, 3 solutions for C, 5 solutions for K, 6 solutions for A, many solutions for D, many solutions for E, many solutions for F, many solutions for G and many solutions for J

  3×

empty dicube at B
(1 of 2)

empty dicube at B
(2 of 2)

empty dicube at H
(1 of 2)

empty dicube at H
(2 of 2)

empty dicube at C
(1 of 3)

empty dicube at C
(2 of 3)

empty dicube at C
(3 of 3)