Solution
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--- complete puzzle list ---
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dim pNbr maxX maxY maxZ puzzle definition [x,y,z]
1 1 1 1 6 [0,0,0][0,0,1][0,0,2][0,0,3][0,0,4][0,0,5]
2 2 1 2 3 [0,0,0][0,1,0][0,0,1][0,1,1][0,0,2][0,1,2]
2 3 1 2 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,0,3][0,1,3]
2 4 1 2 4 [0,0,0][0,0,1][0,1,1][0,0,2][0,0,3][0,1,3]
2 5 1 2 4 [0,0,0][0,0,1][0,1,1][0,0,2][0,1,2][0,0,3]
2 6 1 2 4 [0,0,0][0,0,1][0,1,1][0,0,2][0,1,2][0,1,3]
2 7 1 2 4 [0,0,0][0,0,1][0,1,1][0,1,2][0,0,3][0,1,3]
2 8 1 2 4 [0,0,0][0,1,0][0,0,1][0,0,2][0,0,3][0,1,3]
2 9 1 2 5 [0,0,0][0,0,1][0,0,2][0,0,3][0,0,4][0,1,4]
2 10 1 2 5 [0,0,0][0,0,1][0,0,2][0,0,3][0,1,3][0,0,4]
2 11 1 2 5 [0,0,0][0,0,1][0,0,2][0,0,3][0,1,3][0,1,4]
2 12 1 2 5 [0,0,0][0,0,1][0,0,2][0,1,2][0,0,3][0,0,4]
2 13 1 2 5 [0,0,0][0,0,1][0,0,2][0,1,2][0,1,3][0,1,4]
2 14 1 3 3 [0,0,0][0,0,1][0,1,1][0,0,2][0,1,2][0,2,2]
2 15 1 3 3 [0,0,0][0,0,1][0,1,1][0,2,1][0,0,2][0,1,2]
2 16 1 3 3 [0,0,0][0,0,1][0,1,1][0,2,1][0,0,2][0,2,2]
2 17 1 3 3 [0,0,0][0,0,1][0,1,1][0,2,1][0,1,2][0,2,2]
2 18 1 3 3 [0,0,0][0,0,1][0,2,1][0,0,2][0,1,2][0,2,2]
2 19 1 3 3 [0,0,0][0,1,0][0,0,1][0,1,1][0,2,1][0,1,2]
2 20 1 3 3 [0,0,0][0,1,0][0,1,1][0,2,1][0,0,2][0,1,2]
2 21 1 3 4 [0,0,0][0,0,1][0,0,2][0,0,3][0,1,3][0,2,3]
2 22 1 3 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,1,3][0,2,3]
2 23 1 3 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,2,2][0,0,3]
2 24 1 3 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,2,2][0,1,3]
2 25 1 3 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,2,2][0,2,3]
2 26 1 3 4 [0,0,0][0,0,1][0,1,1][0,1,2][0,1,3][0,2,3]
2 27 1 3 4 [0,0,0][0,0,1][0,1,1][0,1,2][0,2,2][0,1,3]
2 28 1 3 4 [0,0,0][0,0,1][0,1,1][0,1,2][0,2,2][0,2,3]
2 29 1 3 4 [0,0,0][0,0,1][0,1,1][0,2,1][0,1,2][0,1,3]
2 30 1 3 4 [0,0,0][0,1,0][0,1,1][0,1,2][0,1,3][0,2,3]
2 31 1 3 4 [0,0,0][0,1,0][0,1,1][0,1,2][0,2,2][0,1,3]
2 32 1 3 4 [0,0,0][0,1,0][0,1,1][0,2,1][0,1,2][0,1,3]
2 33 1 3 4 [0,0,0][0,1,0][0,2,0][0,1,1][0,1,2][0,1,3]
2 34 1 3 4 [0,1,0][0,0,1][0,1,1][0,1,2][0,2,2][0,1,3]
2 35 1 3 4 [0,1,0][0,0,1][0,1,1][0,2,1][0,1,2][0,1,3]
3 36 2 2 2 [0,0,0][0,1,0][0,0,1][1,0,1][0,1,1][1,1,1]
3 37 2 2 2 [0,0,0][0,1,0][1,1,0][0,0,1][1,0,1][0,1,1]
3 38 2 2 2 [0,0,0][0,1,0][1,1,0][0,0,1][1,0,1][1,1,1]
3 39 2 2 3 [0,0,0][0,0,1][0,0,2][1,0,2][0,1,2][1,1,2]
3 40 2 2 3 [0,0,0][0,0,1][0,1,1][0,0,2][0,1,2][1,1,2]
3 41 2 2 3 [0,0,0][0,0,1][0,1,1][0,0,2][1,0,2][0,1,2]
3 42 2 2 3 [0,0,0][0,0,1][0,1,1][0,0,2][1,0,2][1,1,2]
3 43 2 2 3 [0,0,0][0,0,1][0,1,1][1,0,2][0,1,2][1,1,2]
3 44 2 2 3 [0,0,0][0,0,1][0,1,1][1,1,1][0,0,2][0,1,2]
3 45 2 2 3 [0,0,0][0,0,1][0,1,1][1,1,1][0,0,2][1,0,2]
3 46 2 2 3 [0,0,0][0,0,1][0,1,1][1,1,1][0,0,2][1,1,2]
3 47 2 2 3 [0,0,0][0,0,1][0,1,1][1,1,1][0,1,2][1,1,2]
3 48 2 2 3 [0,0,0][0,0,1][0,1,1][1,1,1][1,0,2][1,1,2]
3 49 2 2 3 [0,0,0][0,0,1][1,0,1][0,0,2][0,1,2][1,1,2]
3 50 2 2 3 [0,0,0][0,0,1][1,0,1][0,0,2][1,0,2][0,1,2]
3 51 2 2 3 [0,0,0][0,0,1][1,0,1][0,0,2][1,0,2][1,1,2]
3 52 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][0,0,2][0,1,2]
3 53 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][0,0,2][1,0,2]
3 54 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][0,1,2][1,1,2]
3 55 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][1,0,2][0,1,2]
3 56 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][1,0,2][1,1,2]
3 57 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][1,1,1][0,0,2]
3 58 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][1,1,1][0,1,2]
3 59 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][1,1,1][1,0,2]
3 60 2 2 3 [0,0,0][0,0,1][1,0,1][0,1,1][1,1,1][1,1,2]
3 61 2 2 3 [0,0,0][0,0,1][1,0,1][1,0,2][0,1,2][1,1,2]
3 62 2 2 3 [0,0,0][0,0,1][1,0,1][1,1,1][0,0,2][0,1,2]
3 63 2 2 3 [0,0,0][0,0,1][1,0,1][1,1,1][0,0,2][1,0,2]
3 64 2 2 3 [0,0,0][0,0,1][1,0,1][1,1,1][0,0,2][1,1,2]
3 65 2 2 3 [0,0,0][0,0,1][1,0,1][1,1,1][0,1,2][1,1,2]
3 66 2 2 3 [0,0,0][0,0,1][1,0,1][1,1,1][1,0,2][1,1,2]
3 67 2 2 3 [0,0,0][0,0,1][1,1,1][0,0,2][0,1,2][1,1,2]
3 68 2 2 3 [0,0,0][0,0,1][1,1,1][0,0,2][1,0,2][1,1,2]
3 69 2 2 3 [0,0,0][0,1,0][0,0,1][0,0,2][0,1,2][1,1,2]
3 70 2 2 3 [0,0,0][0,1,0][0,0,1][0,0,2][1,0,2][0,1,2]
3 71 2 2 3 [0,0,0][0,1,0][0,0,1][0,0,2][1,0,2][1,1,2]
3 72 2 2 3 [0,0,0][0,1,0][0,0,1][0,1,1][0,0,2][1,0,2]
3 73 2 2 3 [0,0,0][0,1,0][0,0,1][0,1,1][0,1,2][1,1,2]
3 74 2 2 3 [0,0,0][0,1,0][0,0,1][1,0,1][0,0,2][0,1,2]
3 75 2 2 3 [0,0,0][0,1,0][0,0,1][1,0,1][1,0,2][1,1,2]
3 76 2 2 3 [0,0,0][0,1,0][0,1,1][0,0,2][0,1,2][1,1,2]
3 77 2 2 3 [0,0,0][0,1,0][0,1,1][0,0,2][1,0,2][0,1,2]
3 78 2 2 3 [0,0,0][0,1,0][0,1,1][1,0,2][0,1,2][1,1,2]
3 79 2 2 3 [0,0,0][0,1,0][0,1,1][1,1,1][1,0,2][1,1,2]
3 80 2 2 4 [0,0,0][0,0,1][0,0,2][0,0,3][0,1,3][1,1,3]
3 81 2 2 4 [0,0,0][0,0,1][0,0,2][0,0,3][1,0,3][0,1,3]
3 82 2 2 4 [0,0,0][0,0,1][0,0,2][0,0,3][1,0,3][1,1,3]
3 83 2 2 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,0,3][1,0,3]
3 84 2 2 4 [0,0,0][0,0,1][0,0,2][0,1,2][0,1,3][1,1,3]
3 85 2 2 4 [0,0,0][0,0,1][0,0,2][0,1,2][1,1,2][0,0,3]
3 86 2 2 4 [0,0,0][0,0,1][0,0,2][0,1,2][1,1,2][0,1,3]
3 87 2 2 4 [0,0,0][0,0,1][0,0,2][0,1,2][1,1,2][1,1,3]
3 88 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][0,0,3][0,1,3]
3 89 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][0,1,2][0,0,3]
3 90 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][0,1,2][0,1,3]
3 91 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][0,1,2][1,0,3]
3 92 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][1,0,3][1,1,3]
3 93 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][1,1,2][0,0,3]
3 94 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][1,1,2][1,0,3]
3 95 2 2 4 [0,0,0][0,0,1][0,0,2][1,0,2][1,1,2][1,1,3]
3 96 2 2 4 [0,0,0][0,0,1][0,1,1][0,0,2][0,0,3][1,0,3]
3 97 2 2 4 [0,0,0][0,0,1][0,1,1][0,0,2][1,0,2][0,0,3]
3 98 2 2 4 [0,0,0][0,0,1][0,1,1][0,0,2][1,0,2][1,0,3]
3 99 2 2 4 [0,0,0][0,0,1][0,1,1][0,1,2][0,1,3][1,1,3]
3 100 2 2 4 [0,0,0][0,0,1][0,1,1][0,1,2][1,1,2][0,1,3]
...stop output