// FILE: SomaSolutions.java // PURPOSE: record of soma cube solutions // MODS: mckeeman@digital--96.09.27--original // METHOD: These solutions were precomputed with MATLAB, then reformatted // as a Java array. Each solution consists of 27 integers // corresponding to cubelet positions (1 to 27) in the 3x3x3 cube. // The seven pieces (V L T Z S R and Y) are recorded in order. // Example, for solution 1, piece V occupies cublets 15, 21 and 24. // Notice that piece T always occupies cublets 1 2 3 5. This position, // normally front-bottom, is the standard location for T, removing // rotational symmetry from the solution set. public class SomaSolutions { public static int[] sol(int s) {return sols[s-1];} private static final int sols[][]={ //V V V L L L L T T T T Z Z Z Z S S S S R R R R Y Y Y Y {15,21,24, 6, 7, 8, 9, 1, 2, 3, 5,11,12,19,20,18,23,26,27,16,17,22,25, 4,10,13,14}, {15,24,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,10,11,19,22,12,20,21,23,14,17,18,26}, {17,26,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,10,11,19,22,12,20,21,23,14,15,18,24}, {15,24,27, 6, 7, 8, 9, 1, 2, 3, 5,17,18,25,26,10,11,19,22,12,20,21,23, 4,13,14,16}, {15,21,24, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,18,23,26,27,16,17,22,25,11,12,14,20}, {11,20,21, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,18,23,26,27,16,17,22,25,12,14,15,24}, {21,23,24,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,15,18,26,27,11,12,14,20}, {11,12,21,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,15,18,26,27,14,20,23,24}, {23,26,27,16,19,22,25, 1, 2, 3, 5,10,11,20,21, 4, 7, 8,13, 6, 9,17,18,12,14,15,24}, { 6, 9,15,22,25,26,27, 1, 2, 3, 5, 7, 8,17,18,10,19,20,23,11,12,21,24, 4,13,14,16}, { 4, 7,13,22,25,26,27, 1, 2, 3, 5, 8, 9,16,17,10,19,20,23,11,12,21,24, 6,14,15,18}, {21,23,24, 4, 7,16,25, 1, 2, 3, 5,11,12,19,20, 6, 8, 9,17,15,18,26,27,10,13,14,22}, {11,12,21, 4, 7,16,25, 1, 2, 3, 5,19,20,23,24, 6, 8, 9,17,15,18,26,27,10,13,14,22}, {11,12,21, 4, 7,16,25, 1, 2, 3, 5,22,23,26,27, 6, 8, 9,17,10,13,19,20,14,15,18,24}, { 6, 9,15,19,20,22,25, 1, 2, 3, 5, 4, 7,10,13,18,23,26,27,11,12,21,24, 8,14,16,17}, {21,23,24,18,25,26,27, 1, 2, 3, 5,11,12,19,20, 4, 7,16,17, 6, 8, 9,15,10,13,14,22}, { 6, 9,15,18,25,26,27, 1, 2, 3, 5, 4, 7,10,13,12,21,23,24,11,19,20,22, 8,14,16,17}, {11,12,21,18,25,26,27, 1, 2, 3, 5,19,20,23,24, 4, 7,16,17, 6, 8, 9,15,10,13,14,22}, { 7, 8,17,18,25,26,27, 1, 2, 3, 5, 6, 9,12,15,11,20,21,24,10,19,22,23, 4,13,14,16}, { 4, 7,13,18,25,26,27, 1, 2, 3, 5, 6, 9,12,15,11,20,21,24,10,19,22,23, 8,14,16,17}, { 4, 7,13,18,25,26,27, 1, 2, 3, 5, 8, 9,16,17,11,20,21,24,10,19,22,23, 6,12,14,15}, { 6, 9,15,18,25,26,27, 1, 2, 3, 5,13,16,19,22,12,21,23,24, 4, 7, 8,17,10,11,14,20}, {11,19,20, 7, 8, 9,16, 1, 2, 3, 5, 6,12,15,21,17,22,25,26,18,23,24,27, 4,10,13,14}, {23,25,26, 7, 8, 9,16, 1, 2, 3, 5, 6,12,15,21,17,18,24,27,11,19,20,22, 4,10,13,14}, {11,20,21, 7, 8, 9,16, 1, 2, 3, 5, 4,10,13,19,17,22,25,26,18,23,24,27, 6,12,14,15}, {19,20,23, 7, 8, 9,16, 1, 2, 3, 5, 6,15,18,27,17,22,25,26,11,12,21,24, 4,10,13,14}, {17,25,26, 7, 8, 9,16, 1, 2, 3, 5, 6,15,18,27,12,21,23,24,11,19,20,22, 4,10,13,14}, {10,11,19, 8, 9,18,27, 1, 2, 3, 5, 6,12,15,21, 4, 7,16,17,13,22,25,26,14,20,23,24}, { 6, 9,15, 7,16,25,26, 1, 2, 3, 5, 8,17,18,27,12,21,23,24,11,19,20,22, 4,10,13,14}, {15,18,27, 7,16,25,26, 1, 2, 3, 5, 4,10,13,19, 6, 8, 9,17,11,12,21,24,14,20,22,23}, {11,12,21, 7,16,25,26, 1, 2, 3, 5, 4,10,13,19,17,18,24,27, 6, 8, 9,15,14,20,22,23}, { 8, 9,17, 7,16,25,26, 1, 2, 3, 5, 6,15,18,27,12,21,23,24,11,19,20,22, 4,10,13,14}, {11,19,20,12,21,24,27, 1, 2, 3, 5, 4, 7,10,13,16,22,23,25, 6, 8, 9,15,14,17,18,26}, {10,11,19, 9,18,24,27, 1, 2, 3, 5,20,21,22,23,13,16,25,26, 4, 7, 8,17, 6,12,14,15}, {19,22,23, 9,18,24,27, 1, 2, 3, 5,10,11,20,21,13,16,25,26, 4, 7, 8,17, 6,12,14,15}, {19,22,23, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,13,16,25,26, 4, 7, 8,17,10,11,14,20}, {10,11,19, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,13,16,25,26, 4, 7, 8,17,14,20,22,23}, {16,17,25,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15, 4, 7, 8,13,11,14,22,23,18,24,26,27}, { 7, 8,17,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15,16,22,23,25, 4,11,13,14,18,24,26,27}, {17,26,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,10,11,19,22,14,15,18,23,12,20,21,24}, {16,17,25, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,12,15,20,21,11,14,22,23,18,24,26,27}, {11,12,21, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,17,18,24,27,14,15,20,23,16,22,25,26}, {11,12,21,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,14,15,20,23,18,24,26,27}, {15,21,24,22,25,26,27, 1, 2, 3, 5,11,12,19,20, 4, 7,16,17,10,13,14,23, 6, 8, 9,18}, { 6, 9,15, 4, 7,16,25, 1, 2, 3, 5, 8,17,18,27,10,11,19,22,13,14,23,26,12,20,21,24}, {20,21,23, 4, 7,16,25, 1, 2, 3, 5, 6, 9,12,15,10,11,19,22, 8,13,14,17,18,24,26,27}, { 8, 9,17, 4, 7,16,25, 1, 2, 3, 5, 6,15,18,27,10,11,19,22,13,14,23,26,12,20,21,24}, {11,12,21,19,20,22,25, 1, 2, 3, 5, 4, 7,10,13,15,24,26,27,14,16,17,23, 6, 8, 9,18}, {23,25,26, 7, 8, 9,16, 1, 2, 3, 5, 6,12,15,21,17,18,24,27, 4,11,13,14,10,19,20,22}, {17,25,26, 7, 8, 9,16, 1, 2, 3, 5, 6,15,18,27,12,21,23,24, 4,11,13,14,10,19,20,22}, {15,18,27,19,20,21,24, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,11,12,14,23,16,22,25,26}, {11,19,20, 8, 9,18,27, 1, 2, 3, 5, 4, 7,10,13,12,21,23,24, 6,14,15,17,16,22,25,26}, { 6, 9,15, 7,16,25,26, 1, 2, 3, 5, 8,17,18,27,12,21,23,24, 4,11,13,14,10,19,20,22}, {15,18,27, 7,16,25,26, 1, 2, 3, 5, 4,10,13,19, 6, 8, 9,17,11,14,22,23,12,20,21,24}, { 8, 9,17, 7,16,25,26, 1, 2, 3, 5, 6,15,18,27,12,21,23,24, 4,11,13,14,10,19,20,22}, { 6, 9,15,12,21,24,27, 1, 2, 3, 5, 7, 8,17,18,10,19,20,23, 4,11,13,14,16,22,25,26}, {11,19,20,12,21,24,27, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,14,15,18,23,16,22,25,26}, {11,19,20,12,21,24,27, 1, 2, 3, 5, 4, 7,10,13,16,22,23,25,14,15,17,26, 6, 8, 9,18}, { 7, 8,17, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,10,19,20,23, 4,11,13,14,16,22,25,26}, {11,19,20, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,17,22,25,26,10,13,14,23, 4, 7, 8,16}, { 4, 7,13,10,19,20,21, 1, 2, 3, 5,16,17,26,27,11,12,15,24,14,22,23,25, 6, 8, 9,18}, {22,23,25,10,19,20,21, 1, 2, 3, 5,16,17,26,27,11,12,15,24, 4, 7,13,14, 6, 8, 9,18}, {16,17,25,10,19,20,21, 1, 2, 3, 5,22,23,26,27,11,12,15,24, 4, 7,13,14, 6, 8, 9,18}, {12,15,21, 6, 7, 8, 9, 1, 2, 3, 5,19,20,23,24, 4,10,11,13,14,17,18,27,16,22,25,26}, {17,18,27, 6, 7, 8, 9, 1, 2, 3, 5,19,20,23,24, 4,10,11,13,12,14,15,21,16,22,25,26}, {16,17,25, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,11,20,22,23,12,14,15,21,18,24,26,27}, {15,21,24, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,11,12,20,23,14,17,18,27,16,22,25,26}, {11,12,21, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,15,20,23,24,14,17,18,27,16,22,25,26}, {20,21,23, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,11,12,15,24,14,17,18,27,16,22,25,26}, { 6, 9,15,16,19,22,25, 1, 2, 3, 5, 7, 8,17,18, 4,10,11,13,14,23,26,27,12,20,21,24}, {12,15,21,22,25,26,27, 1, 2, 3, 5,19,20,23,24, 4,10,11,13, 7,14,16,17, 6, 8, 9,18}, { 7,16,17,22,25,26,27, 1, 2, 3, 5,19,20,23,24, 4,10,11,13,12,14,15,21, 6, 8, 9,18}, {15,21,24,22,25,26,27, 1, 2, 3, 5, 4,10,13,19,11,12,20,23, 7,14,16,17, 6, 8, 9,18}, {11,12,21,22,25,26,27, 1, 2, 3, 5, 4,10,13,19,15,20,23,24, 7,14,16,17, 6, 8, 9,18}, {20,21,23,22,25,26,27, 1, 2, 3, 5, 4,10,13,19,11,12,15,24, 7,14,16,17, 6, 8, 9,18}, { 6, 9,15, 4, 7,16,25, 1, 2, 3, 5, 8,17,18,27,13,22,23,26,10,11,14,19,12,20,21,24}, {19,22,23, 4, 7,16,25, 1, 2, 3, 5, 6,12,15,21,10,11,13,20, 8, 9,14,17,18,24,26,27}, {10,13,19, 4, 7,16,25, 1, 2, 3, 5, 6,12,15,21,11,20,22,23, 8, 9,14,17,18,24,26,27}, {11,19,20, 4, 7,16,25, 1, 2, 3, 5, 6,12,15,21,10,13,22,23, 8, 9,14,17,18,24,26,27}, { 8, 9,17, 4, 7,16,25, 1, 2, 3, 5, 6,15,18,27,13,22,23,26,10,11,14,19,12,20,21,24}, {10,11,19, 4, 7,16,25, 1, 2, 3, 5, 6,15,18,27,13,22,23,26, 8, 9,14,17,12,20,21,24}, {11,12,21,19,20,22,25, 1, 2, 3, 5, 4, 7,10,13,16,17,23,26,14,15,24,27, 6, 8, 9,18}, {23,24,27,19,20,22,25, 1, 2, 3, 5, 7,16,17,26, 4,10,11,13,12,14,15,21, 6, 8, 9,18}, {19,22,23, 7, 8, 9,16, 1, 2, 3, 5, 6,15,18,27, 4,10,11,13,14,17,25,26,12,20,21,24}, {19,22,23, 7,16,25,26, 1, 2, 3, 5, 6,15,18,27, 4,10,11,13, 8, 9,14,17,12,20,21,24}, { 6, 9,15,12,21,24,27, 1, 2, 3, 5, 7, 8,17,18, 4,10,11,13,14,19,20,23,16,22,25,26}, {19,22,23, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,10,11,13,20,14,17,25,26, 4, 7, 8,16}, {10,13,19, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,11,20,22,23,14,17,25,26, 4, 7, 8,16}, { 7, 8,17, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21, 4,10,11,13,14,19,20,23,16,22,25,26}, {11,19,20, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,10,13,22,23,14,17,25,26, 4, 7, 8,16}, {23,24,27,10,19,20,21, 1, 2, 3, 5, 9,17,18,26,13,14,22,25, 6,11,12,15, 4, 7, 8,16}, {13,22,25,10,19,20,21, 1, 2, 3, 5, 9,17,18,26,14,23,24,27, 6,11,12,15, 4, 7, 8,16}, {15,18,27, 6, 7, 8, 9, 1, 2, 3, 5,23,24,25,26,11,12,14,21, 4,13,16,17,10,19,20,22}, {11,12,21, 6, 7, 8, 9, 1, 2, 3, 5,23,24,25,26,14,15,18,27, 4,13,16,17,10,19,20,22}, {15,24,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,11,12,14,21,17,18,23,26,10,19,20,22}, {17,18,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,11,12,14,21,15,23,24,26,10,19,20,22}, {23,26,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,11,12,14,21,15,17,18,24,10,19,20,22}, {10,11,19, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,14,15,18,27,17,22,23,26,12,20,21,24}, {21,23,24,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,14,17,26,27,11,12,15,20, 6, 8, 9,18}, {12,15,21,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,14,17,26,27,11,20,23,24, 6, 8, 9,18}, {11,20,21,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,14,17,26,27,12,15,23,24, 6, 8, 9,18}, { 8, 9,17,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,14,20,21,23, 6,11,12,15,18,24,26,27}, { 4, 7,13,16,19,22,25, 1, 2, 3, 5,10,11,20,21,14,17,26,27,12,15,23,24, 6, 8, 9,18}, {10,13,19,22,25,26,27, 1, 2, 3, 5, 6,12,15,21, 9,14,17,18,11,20,23,24, 4, 7, 8,16}, { 9,17,18,22,25,26,27, 1, 2, 3, 5, 6,12,15,21,10,13,14,19,11,20,23,24, 4, 7, 8,16}, {12,15,21, 4, 7,16,25, 1, 2, 3, 5,19,20,23,24,14,17,26,27,10,11,13,22, 6, 8, 9,18}, { 8, 9,17, 4, 7,16,25, 1, 2, 3, 5,20,21,22,23,10,13,14,19, 6,11,12,15,18,24,26,27}, {13,19,22, 4, 7,16,25, 1, 2, 3, 5,10,11,20,21,14,17,26,27,12,15,23,24, 6, 8, 9,18}, {11,20,21, 4, 7,16,25, 1, 2, 3, 5,12,15,24,27,10,13,14,19,17,22,23,26, 6, 8, 9,18}, {19,20,23,21,24,26,27, 1, 2, 3, 5,10,13,22,25, 9,14,17,18, 6,11,12,15, 4, 7, 8,16}, {10,13,19,21,24,26,27, 1, 2, 3, 5,20,22,23,25, 9,14,17,18, 6,11,12,15, 4, 7, 8,16}, { 9,17,18,21,24,26,27, 1, 2, 3, 5,20,22,23,25,10,13,14,19, 6,11,12,15, 4, 7, 8,16}, {16,17,25,21,24,26,27, 1, 2, 3, 5, 4, 7,10,13,14,19,22,23,11,12,15,20, 6, 8, 9,18}, {19,22,23,21,24,26,27, 1, 2, 3, 5, 4, 7,10,13,14,16,17,25,11,12,15,20, 6, 8, 9,18}, {23,26,27,19,20,21,24, 1, 2, 3, 5,10,13,22,25, 9,14,17,18, 6,11,12,15, 4, 7, 8,16}, {17,18,27,19,20,21,24, 1, 2, 3, 5, 6, 9,12,15,14,23,25,26,10,11,13,22, 4, 7, 8,16}, { 4, 7,13, 8, 9,18,27, 1, 2, 3, 5,21,23,24,26,14,16,17,25, 6,11,12,15,10,19,20,22}, { 6, 9,15,12,21,24,27, 1, 2, 3, 5,10,13,22,25,11,14,19,20,17,18,23,26, 4, 7, 8,16}, {11,19,20,12,21,24,27, 1, 2, 3, 5,10,13,22,25, 6, 9,14,15,17,18,23,26, 4, 7, 8,16}, {13,19,22,12,21,24,27, 1, 2, 3, 5,17,18,25,26, 6, 9,14,15,10,11,20,23, 4, 7, 8,16}, {10,11,19,12,21,24,27, 1, 2, 3, 5,17,18,25,26, 6, 9,14,15,13,20,22,23, 4, 7, 8,16}, {19,20,23,12,21,24,27, 1, 2, 3, 5,17,18,25,26, 6, 9,14,15,10,11,13,22, 4, 7, 8,16}, {17,25,26, 9,18,24,27, 1, 2, 3, 5,20,21,22,23,10,13,14,19, 6,11,12,15, 4, 7, 8,16}, {20,21,23, 9,18,24,27, 1, 2, 3, 5, 4,10,13,19, 7, 8,14,17, 6,11,12,15,16,22,25,26}, { 7, 8,17, 9,18,24,27, 1, 2, 3, 5, 4,10,13,19,14,20,21,23, 6,11,12,15,16,22,25,26}, {17,25,26,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15,11,13,14,22,18,23,24,27, 4, 7, 8,16}, {17,18,27,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15,11,14,23,24,13,22,25,26, 4, 7, 8,16}, {23,25,26,10,19,20,21, 1, 2, 3, 5,12,15,24,27,11,13,14,22, 6, 9,17,18, 4, 7, 8,16}, {17,18,27, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,14,15,23,26,11,12,21,24,10,19,20,22}, {10,11,19, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,14,17,22,23,15,18,26,27,12,20,21,24}, {11,20,21, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,12,14,15,23,16,17,22,25,18,24,26,27}, { 8, 9,17,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6,11,14,15,12,20,21,23,18,24,26,27}, {11,20,21,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,12,14,15,23,17,24,26,27, 6, 8, 9,18}, { 4, 7,13,16,19,22,25, 1, 2, 3, 5,10,11,20,21,12,14,15,23,17,24,26,27, 6, 8, 9,18}, { 9,17,18,22,25,26,27, 1, 2, 3, 5, 6,12,15,21,11,14,23,24,10,13,19,20, 4, 7, 8,16}, {11,12,21, 4, 7,16,25, 1, 2, 3, 5,22,23,26,27,14,15,17,24,10,13,19,20, 6, 8, 9,18}, {13,19,22, 4, 7,16,25, 1, 2, 3, 5,10,11,20,21,12,14,15,23,17,24,26,27, 6, 8, 9,18}, {11,20,21, 4, 7,16,25, 1, 2, 3, 5,12,15,24,27,13,14,17,26,10,19,22,23, 6, 8, 9,18}, { 4, 7,13,18,25,26,27, 1, 2, 3, 5, 8, 9,16,17, 6,11,14,15,10,19,22,23,12,20,21,24}, { 6, 9,15,18,25,26,27, 1, 2, 3, 5,13,16,19,22,10,11,14,23, 4, 7, 8,17,12,20,21,24}, {11,19,20,21,24,26,27, 1, 2, 3, 5,10,13,22,25,12,14,15,23, 6, 9,17,18, 4, 7, 8,16}, {11,19,20,21,24,26,27, 1, 2, 3, 5, 4, 7,10,13,12,14,15,23,16,17,22,25, 6, 8, 9,18}, {16,17,25,21,24,26,27, 1, 2, 3, 5, 4, 7,10,13,12,14,15,23,11,19,20,22, 6, 8, 9,18}, {23,25,26, 7, 8, 9,16, 1, 2, 3, 5, 6,15,18,27, 4,13,14,17,11,12,21,24,10,19,20,22}, {17,18,27,19,20,21,24, 1, 2, 3, 5, 6, 9,12,15,10,11,14,23,13,22,25,26, 4, 7, 8,16}, {11,20,21, 7,16,25,26, 1, 2, 3, 5,12,15,24,27, 4,13,14,17,10,19,22,23, 6, 8, 9,18}, {11,19,20,12,21,24,27, 1, 2, 3, 5,10,13,22,25,14,15,23,26, 6, 9,17,18, 4, 7, 8,16}, {11,19,20,12,21,24,27, 1, 2, 3, 5, 4, 7,10,13,14,15,23,26,16,17,22,25, 6, 8, 9,18}, {16,17,25,12,21,24,27, 1, 2, 3, 5, 4, 7,10,13,14,15,23,26,11,19,20,22, 6, 8, 9,18}, {11,19,20,12,21,24,27, 1, 2, 3, 5, 4, 7,10,13,14,17,18,23, 6, 8, 9,15,16,22,25,26}, {22,23,25,12,21,24,27, 1, 2, 3, 5, 9,17,18,26, 6,11,14,15,10,13,19,20, 4, 7, 8,16}, {10,11,19, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,13,14,20,23, 4, 7, 8,17,16,22,25,26}, { 7, 8,17, 9,18,24,27, 1, 2, 3, 5, 4,10,13,19, 6,11,14,15,12,20,21,23,16,22,25,26}, { 6, 9,15,10,19,20,21, 1, 2, 3, 5,11,12,13,14,16,22,23,25, 4, 7, 8,17,18,24,26,27}, { 6, 9,15,10,19,20,21, 1, 2, 3, 5,11,12,13,14,17,22,25,26,18,23,24,27, 4, 7, 8,16}, {22,23,25,10,19,20,21, 1, 2, 3, 5,11,12,13,14, 4, 7,16,17, 6, 8, 9,15,18,24,26,27}, {22,23,25,10,19,20,21, 1, 2, 3, 5,11,12,13,14,15,24,26,27, 6, 9,17,18, 4, 7, 8,16}, {10,11,19, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,14,23,12,15,20,21,16,17,22,25,18,24,26,27}, {16,17,25, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,14,23,10,11,19,22,15,18,26,27,12,20,21,24}, {23,26,27,16,19,22,25, 1, 2, 3, 5,10,11,14,15, 4, 7, 8,13, 6, 9,17,18,12,20,21,24}, { 4, 7,13,16,19,22,25, 1, 2, 3, 5,10,11,14,15, 6, 8, 9,17,12,20,21,23,18,24,26,27}, {15,21,24,22,25,26,27, 1, 2, 3, 5,11,12,13,14,10,19,20,23, 6, 9,17,18, 4, 7, 8,16}, { 6, 9,15,22,25,26,27, 1, 2, 3, 5,13,14,17,18,10,19,20,23,11,12,21,24, 4, 7, 8,16}, { 4, 7,13,22,25,26,27, 1, 2, 3, 5,14,15,16,17,10,19,20,23,11,12,21,24, 6, 8, 9,18}, {10,11,19,22,25,26,27, 1, 2, 3, 5,13,14,23,24,12,15,20,21, 6, 9,17,18, 4, 7, 8,16}, {13,19,22, 4, 7,16,25, 1, 2, 3, 5,10,11,14,15, 6, 8, 9,17,12,20,21,23,18,24,26,27}, {11,12,21, 4, 7,16,25, 1, 2, 3, 5,14,15,22,23, 6, 8, 9,17,10,13,19,20,18,24,26,27}, {21,23,24, 4, 7,16,25, 1, 2, 3, 5,11,12,13,14, 6, 8, 9,17,15,18,26,27,10,19,20,22}, {23,26,27, 4, 7,16,25, 1, 2, 3, 5,13,14,17,18,10,11,19,22, 6, 8, 9,15,12,20,21,24}, {11,12,21, 4, 7,16,25, 1, 2, 3, 5,13,14,23,24, 6, 8, 9,17,15,18,26,27,10,19,20,22}, { 6, 9,15,19,20,22,25, 1, 2, 3, 5,10,13,14,17,18,23,26,27,11,12,21,24, 4, 7, 8,16}, { 6, 9,15,18,25,26,27, 1, 2, 3, 5,11,13,14,16,12,21,23,24, 4, 7, 8,17,10,19,20,22}, {21,23,24,18,25,26,27, 1, 2, 3, 5,11,12,13,14, 4, 7,16,17, 6, 8, 9,15,10,19,20,22}, { 7,16,17,18,25,26,27, 1, 2, 3, 5, 4,13,14,23,10,11,19,22, 6, 8, 9,15,12,20,21,24}, {11,12,21,18,25,26,27, 1, 2, 3, 5,13,14,23,24, 4, 7,16,17, 6, 8, 9,15,10,19,20,22}, { 6, 9,15,18,25,26,27, 1, 2, 3, 5,10,13,14,17,12,21,23,24,11,19,20,22, 4, 7, 8,16}, {10,11,19, 8, 9,18,27, 1, 2, 3, 5, 6,14,15,23, 4, 7,16,17,13,22,25,26,12,20,21,24}, {15,18,27, 7,16,25,26, 1, 2, 3, 5, 4,13,14,23, 6, 8, 9,17,11,12,21,24,10,19,20,22}, {17,18,27, 7,16,25,26, 1, 2, 3, 5, 4,13,14,23,10,11,19,22, 6, 8, 9,15,12,20,21,24}, {11,12,21, 7,16,25,26, 1, 2, 3, 5, 4,13,14,23,17,18,24,27, 6, 8, 9,15,10,19,20,22}, {19,20,23,12,21,24,27, 1, 2, 3, 5,10,11,14,15, 4, 7, 8,13, 6, 9,17,18,16,22,25,26}, {19,20,23,12,21,24,27, 1, 2, 3, 5,10,11,14,15, 4, 7,16,17,13,22,25,26, 6, 8, 9,18}, {23,25,26,12,21,24,27, 1, 2, 3, 5,10,11,14,15,13,19,20,22, 6, 9,17,18, 4, 7, 8,16}, { 4, 7,13,12,21,24,27, 1, 2, 3, 5,11,14,15,18, 6, 8, 9,17,16,23,25,26,10,19,20,22}, {11,12,21, 9,18,24,27, 1, 2, 3, 5, 6,14,15,23,17,22,25,26,10,13,19,20, 4, 7, 8,16}, {11,12,21, 9,18,24,27, 1, 2, 3, 5, 6,14,15,23,13,16,25,26, 4, 7, 8,17,10,19,20,22}, {16,17,25,10,11,12,19, 1, 2, 3, 5,20,21,22,23,15,24,26,27, 4, 7,13,14, 6, 8, 9,18}, { 4, 7,13,22,23,24,25, 1, 2, 3, 5,16,17,26,27,12,15,20,21,10,11,14,19, 6, 8, 9,18}, {10,11,19,22,23,24,25, 1, 2, 3, 5,16,17,26,27,12,15,20,21, 4, 7,13,14, 6, 8, 9,18}, { 6, 9,15, 4, 7,13,22, 1, 2, 3, 5, 8,16,17,25,18,23,26,27,10,11,14,19,12,20,21,24}, {11,12,21,19,20,23,26, 1, 2, 3, 5,10,13,22,25, 4, 7,16,17,14,15,24,27, 6, 8, 9,18}, { 4, 7,13, 8, 9,17,26, 1, 2, 3, 5, 6,15,18,27,16,22,23,25,10,11,14,19,12,20,21,24}, {10,11,19, 8, 9,17,26, 1, 2, 3, 5, 6,15,18,27,16,22,23,25, 4, 7,13,14,12,20,21,24}, { 4, 7,13,12,15,18,21, 1, 2, 3, 5,20,23,24,27, 6, 8, 9,17,10,11,14,19,16,22,25,26}, {10,11,19,12,15,18,21, 1, 2, 3, 5,20,23,24,27, 6, 8, 9,17, 4, 7,13,14,16,22,25,26}, { 4, 7,13,10,11,12,19, 1, 2, 3, 5,22,23,26,27,14,16,17,25,15,20,21,24, 6, 8, 9,18}, { 4, 7,13,10,11,12,19, 1, 2, 3, 5,20,21,22,23,14,16,17,25, 6, 8, 9,15,18,24,26,27}, {13,16,25,10,11,12,19, 1, 2, 3, 5,20,21,22,23, 6, 9,14,15, 4, 7, 8,17,18,24,26,27}, {11,20,21,10,13,16,25, 1, 2, 3, 5, 6, 9,12,15,14,19,22,23, 4, 7, 8,17,18,24,26,27}, {10,11,19, 4, 7,13,22, 1, 2, 3, 5, 8,17,18,27, 6, 9,14,15,16,23,25,26,12,20,21,24}, {10,11,19, 4, 7,13,22, 1, 2, 3, 5, 8,16,17,25, 6, 9,14,15,12,20,21,23,18,24,26,27}, {15,24,27,19,20,23,26, 1, 2, 3, 5,10,13,22,25,11,12,14,21, 6, 9,17,18, 4, 7, 8,16}, {17,18,27,19,20,23,26, 1, 2, 3, 5,10,13,22,25, 6, 9,14,15,11,12,21,24, 4, 7, 8,16}, {15,24,27,19,20,23,26, 1, 2, 3, 5, 4, 7,10,13,11,12,14,21,16,17,22,25, 6, 8, 9,18}, { 4, 7,13,16,17,18,27, 1, 2, 3, 5,23,24,25,26,11,12,14,21, 6, 8, 9,15,10,19,20,22}, {10,11,19, 6,15,24,27, 1, 2, 3, 5, 9,17,18,26,13,14,22,25,12,20,21,23, 4, 7, 8,16}, {22,23,25, 6,15,24,27, 1, 2, 3, 5, 9,17,18,26,11,12,14,21,10,13,19,20, 4, 7, 8,16}, {15,17,18, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,10,11,19,22,14,23,26,27,12,20,21,24}, {11,20,23, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,17,18,24,27,12,14,15,21,16,22,25,26}, {11,20,23,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,12,14,15,21,18,24,26,27}, {10,11,13,22,25,26,27, 1, 2, 3, 5,19,20,23,24, 4, 7,16,17,12,14,15,21, 6, 8, 9,18}, {11,12,15,21,24,26,27, 1, 2, 3, 5,10,13,22,25, 4, 7,16,17,14,19,20,23, 6, 8, 9,18}, {11,12,15,19,20,21,24, 1, 2, 3, 5,10,13,22,25, 4, 7,16,17,14,23,26,27, 6, 8, 9,18}, {10,11,13, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,17,22,25,26,14,19,20,23, 4, 7, 8,16}, {17,23,26, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,14,15,18,27,11,12,21,24,10,19,20,22}, {11,12,15, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,14,20,21,23,16,17,22,25,18,24,26,27}, {11,12,15,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,14,20,21,23,17,24,26,27, 6, 8, 9,18}, {10,11,13,16,19,22,25, 1, 2, 3, 5, 6, 9,12,15,14,20,21,23, 4, 7, 8,17,18,24,26,27}, {11,12,15, 4, 7,16,25, 1, 2, 3, 5,20,21,22,23,10,13,14,19,17,24,26,27, 6, 8, 9,18}, {11,12,15,21,24,26,27, 1, 2, 3, 5,20,22,23,25,10,13,14,19, 6, 9,17,18, 4, 7, 8,16}, {11,20,23, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,10,13,14,19, 4, 7, 8,17,16,22,25,26}, {11,14,23,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15, 4, 7, 8,13,16,17,22,25,18,24,26,27}, {11,13,14,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15,16,22,23,25, 4, 7, 8,17,18,24,26,27}, {11,13,14,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15,17,22,25,26,18,23,24,27, 4, 7, 8,16}, {11,14,23,10,19,20,21, 1, 2, 3, 5, 6, 9,12,15,17,18,24,27,13,22,25,26, 4, 7, 8,16}, {11,14,23,10,19,20,21, 1, 2, 3, 5,12,15,24,27, 4, 7, 8,13, 6, 9,17,18,16,22,25,26}, {11,14,23,10,19,20,21, 1, 2, 3, 5,12,15,24,27, 4, 7,16,17,13,22,25,26, 6, 8, 9,18}, {14,15,17, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,18,23,26,27,11,12,21,24,10,19,20,22}, {14,17,23, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,10,11,19,22,15,18,26,27,12,20,21,24}, {14,15,17, 6, 7, 8, 9, 1, 2, 3, 5, 4,13,16,25,10,11,19,22,12,20,21,23,18,24,26,27}, {11,14,15, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,18,23,26,27,16,17,22,25,12,20,21,24}, {11,14,23, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,12,15,20,21,16,17,22,25,18,24,26,27}, {11,14,15, 6, 7, 8, 9, 1, 2, 3, 5, 4,10,13,19,17,18,24,27,12,20,21,23,16,22,25,26}, {11,14,23,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,15,18,26,27,12,20,21,24}, {11,14,15,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13, 6, 8, 9,17,12,20,21,23,18,24,26,27}, {11,14,23,16,19,22,25, 1, 2, 3, 5, 4, 7,10,13,12,15,20,21,17,24,26,27, 6, 8, 9,18}, {13,14,17,18,25,26,27, 1, 2, 3, 5, 6, 9,12,15,11,20,21,24,10,19,22,23, 4, 7, 8,16}, {11,13,14, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,10,19,20,23, 4, 7, 8,17,16,22,25,26}, {11,14,23, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,17,22,25,26,10,13,19,20, 4, 7, 8,16}, {11,14,23, 9,18,24,27, 1, 2, 3, 5, 6,12,15,21,13,16,25,26, 4, 7, 8,17,10,19,20,22}}; }