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