2 * ***** BEGIN GPL LICENSE BLOCK *****
4 * This program is free software; you can redistribute it and/or
5 * modify it under the terms of the GNU General Public License
6 * as published by the Free Software Foundation; either version 2
7 * of the License, or (at your option) any later version.
9 * This program is distributed in the hope that it will be useful,
10 * but WITHOUT ANY WARRANTY; without even the implied warranty of
11 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 * GNU General Public License for more details.
14 * You should have received a copy of the GNU General Public License
15 * along with this program; if not, write to the Free Software Foundation,
16 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
18 * Contributor(s): Tao Ju
20 * ***** END GPL LICENSE BLOCK *****
23 #include "marching_cubes_table.h"
25 /* number of triangles in each configuration */
26 const int marching_cubes_numtri[TOTCONF] = {
27 0, 1, 1, 2, 1, 2, 4, 3, 1, 4, 2, 3, 2, 3, 3, 2, 1, 2, 4, 3, 4, 3, 5, 4,
28 6, 5, 5, 4, 5, 4, 4, 3, 1, 4, 2, 3, 6, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 3,
29 2, 3, 3, 2, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 1, 4, 6, 5, 2, 3, 5, 4,
30 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 2, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2,
31 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 2,
32 4, 3, 3, 2, 3, 2, 2, 1, 1, 6, 4, 5, 4, 5, 5, 4, 2, 5, 3, 4, 3, 4, 4, 3,
33 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 2, 5, 3, 4, 5, 4, 4, 3,
34 3, 4, 2, 3, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1,
35 2, 5, 5, 4, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 2,
36 4, 3, 3, 2, 3, 2, 2, 1, 3, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1,
37 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 0
40 /* table of triangles in each configuration */
41 const int marching_cubes_tris[TOTCONF][MAX_TRIS][3] = {
42 {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
43 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
44 {{4, 0, 8}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
45 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
46 {{8, 1, 5}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
47 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
48 {{4, 0, 1}, {4, 1, 5}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
49 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
50 {{4, 9, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
51 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
52 {{0, 8, 9}, {0, 9, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
53 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
54 {{1, 5, 9}, {1, 9, 2}, {1, 2, 4}, {1, 4, 8}, {0, 0, 0},
55 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
56 {{0, 1, 5}, {0, 5, 9}, {0, 9, 2}, {0, 0, 0}, {0, 0, 0},
57 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
58 {{5, 3, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
59 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
60 {{0, 8, 5}, {0, 5, 3}, {0, 3, 9}, {0, 9, 4}, {0, 0, 0},
61 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
62 {{8, 1, 3}, {8, 3, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
63 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
64 {{4, 0, 1}, {4, 1, 3}, {4, 3, 9}, {0, 0, 0}, {0, 0, 0},
65 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
66 {{4, 5, 3}, {4, 3, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
67 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
68 {{0, 8, 5}, {0, 5, 3}, {0, 3, 2}, {0, 0, 0}, {0, 0, 0},
69 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
70 {{4, 8, 1}, {4, 1, 3}, {4, 3, 2}, {0, 0, 0}, {0, 0, 0},
71 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
72 {{0, 1, 3}, {0, 3, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
73 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
74 {{0, 6, 10}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
75 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
76 {{8, 4, 6}, {8, 6, 10}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
77 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
78 {{6, 10, 1}, {6, 1, 5}, {6, 5, 8}, {6, 8, 0}, {0, 0, 0},
79 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
80 {{4, 6, 10}, {4, 10, 1}, {4, 1, 5}, {0, 0, 0}, {0, 0, 0},
81 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
82 {{10, 0, 4}, {10, 4, 9}, {10, 9, 2}, {10, 2, 6}, {0, 0, 0},
83 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
84 {{6, 10, 8}, {6, 8, 9}, {6, 9, 2}, {0, 0, 0}, {0, 0, 0},
85 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
86 {{4, 8, 0}, {6, 10, 1}, {6, 1, 5}, {6, 5, 9}, {6, 9, 2},
87 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
88 {{6, 10, 1}, {6, 1, 5}, {6, 5, 9}, {6, 9, 2}, {0, 0, 0},
89 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
90 {{10, 0, 5}, {0, 6, 9}, {9, 5, 0}, {6, 10, 3}, {5, 3, 10},
91 {3, 9, 6}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
92 {{10, 8, 5}, {10, 5, 3}, {9, 4, 6}, {6, 10, 3}, {6, 3, 9},
93 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
94 {{10, 1, 3}, {9, 8, 0}, {9, 0, 6}, {6, 10, 3}, {6, 3, 9},
95 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
96 {{4, 6, 10}, {4, 10, 1}, {4, 1, 3}, {4, 3, 9}, {0, 0, 0},
97 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
98 {{0, 4, 5}, {3, 2, 6}, {3, 6, 10}, {10, 0, 5}, {10, 5, 3},
99 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
100 {{6, 10, 8}, {6, 8, 5}, {6, 5, 3}, {6, 3, 2}, {0, 0, 0},
101 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
102 {{4, 8, 0}, {6, 10, 1}, {6, 1, 3}, {6, 3, 2}, {0, 0, 0},
103 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
104 {{6, 10, 1}, {6, 1, 3}, {6, 3, 2}, {0, 0, 0}, {0, 0, 0},
105 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
106 {{10, 7, 1}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
107 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
108 {{4, 0, 10}, {4, 10, 7}, {4, 7, 1}, {4, 1, 8}, {0, 0, 0},
109 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
110 {{8, 10, 7}, {8, 7, 5}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
111 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
112 {{4, 0, 10}, {4, 10, 7}, {4, 7, 5}, {0, 0, 0}, {0, 0, 0},
113 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
114 {{10, 2, 4}, {10, 4, 1}, {7, 2, 10}, {1, 9, 7}, {1, 4, 9},
115 {9, 2, 7}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
116 {{1, 8, 9}, {2, 0, 10}, {2, 10, 7}, {7, 1, 9}, {7, 9, 2},
117 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
118 {{4, 8, 10}, {7, 5, 9}, {7, 9, 2}, {2, 4, 10}, {2, 10, 7},
119 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
120 {{0, 10, 7}, {0, 7, 5}, {0, 5, 9}, {0, 9, 2}, {0, 0, 0},
121 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
122 {{10, 7, 3}, {10, 3, 9}, {10, 9, 5}, {10, 5, 1}, {0, 0, 0},
123 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
124 {{8, 5, 1}, {4, 0, 10}, {4, 10, 7}, {4, 7, 3}, {4, 3, 9},
125 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
126 {{8, 10, 7}, {8, 7, 3}, {8, 3, 9}, {0, 0, 0}, {0, 0, 0},
127 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
128 {{4, 0, 10}, {4, 10, 7}, {4, 7, 3}, {4, 3, 9}, {0, 0, 0},
129 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
130 {{4, 5, 1}, {4, 1, 10}, {7, 3, 2}, {2, 4, 10}, {2, 10, 7},
131 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
132 {{8, 5, 1}, {0, 10, 7}, {0, 7, 3}, {0, 3, 2}, {0, 0, 0},
133 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
134 {{4, 8, 10}, {4, 10, 7}, {4, 7, 3}, {4, 3, 2}, {0, 0, 0},
135 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
136 {{0, 10, 7}, {0, 7, 3}, {0, 3, 2}, {0, 0, 0}, {0, 0, 0},
137 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
138 {{0, 6, 7}, {0, 7, 1}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
139 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
140 {{8, 4, 6}, {8, 6, 7}, {8, 7, 1}, {0, 0, 0}, {0, 0, 0},
141 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
142 {{8, 0, 6}, {8, 6, 7}, {8, 7, 5}, {0, 0, 0}, {0, 0, 0},
143 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
144 {{4, 6, 7}, {4, 7, 5}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
145 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
146 {{1, 0, 4}, {1, 4, 9}, {2, 6, 7}, {7, 1, 9}, {7, 9, 2},
147 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
148 {{6, 7, 1}, {6, 1, 8}, {6, 8, 9}, {6, 9, 2}, {0, 0, 0},
149 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
150 {{4, 8, 0}, {6, 7, 5}, {6, 5, 9}, {6, 9, 2}, {0, 0, 0},
151 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
152 {{6, 7, 5}, {6, 5, 9}, {6, 9, 2}, {0, 0, 0}, {0, 0, 0},
153 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
154 {{5, 1, 0}, {6, 7, 3}, {6, 3, 9}, {9, 5, 0}, {9, 0, 6},
155 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
156 {{8, 5, 1}, {4, 6, 7}, {4, 7, 3}, {4, 3, 9}, {0, 0, 0},
157 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
158 {{8, 0, 6}, {8, 6, 7}, {8, 7, 3}, {8, 3, 9}, {0, 0, 0},
159 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
160 {{4, 6, 7}, {4, 7, 3}, {4, 3, 9}, {0, 0, 0}, {0, 0, 0},
161 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
162 {{0, 4, 5}, {0, 5, 1}, {6, 7, 3}, {6, 3, 2}, {0, 0, 0},
163 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
164 {{8, 5, 1}, {6, 7, 3}, {6, 3, 2}, {0, 0, 0}, {0, 0, 0},
165 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
166 {{4, 8, 0}, {6, 7, 3}, {6, 3, 2}, {0, 0, 0}, {0, 0, 0},
167 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
168 {{6, 7, 3}, {6, 3, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
169 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
170 {{6, 2, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
171 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
172 {{8, 4, 2}, {8, 2, 11}, {8, 11, 6}, {8, 6, 0}, {0, 0, 0},
173 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
174 {{8, 1, 6}, {6, 1, 11}, {11, 1, 5}, {2, 11, 5}, {2, 5, 8},
175 {6, 2, 8}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
176 {{6, 0, 1}, {5, 4, 2}, {5, 2, 11}, {11, 6, 1}, {11, 1, 5},
177 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
178 {{6, 4, 9}, {6, 9, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
179 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
180 {{6, 0, 8}, {6, 8, 9}, {6, 9, 11}, {0, 0, 0}, {0, 0, 0},
181 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
182 {{6, 4, 8}, {6, 8, 1}, {5, 9, 11}, {11, 6, 1}, {11, 1, 5},
183 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
184 {{6, 0, 1}, {6, 1, 5}, {6, 5, 9}, {6, 9, 11}, {0, 0, 0},
185 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
186 {{6, 2, 9}, {6, 9, 5}, {6, 5, 3}, {6, 3, 11}, {0, 0, 0},
187 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
188 {{4, 2, 9}, {6, 0, 8}, {6, 8, 5}, {6, 5, 3}, {6, 3, 11},
189 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
190 {{2, 9, 8}, {1, 3, 11}, {1, 11, 6}, {6, 2, 8}, {6, 8, 1},
191 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
192 {{4, 2, 9}, {6, 0, 1}, {6, 1, 3}, {6, 3, 11}, {0, 0, 0},
193 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
194 {{6, 4, 5}, {6, 5, 3}, {6, 3, 11}, {0, 0, 0}, {0, 0, 0},
195 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
196 {{6, 0, 8}, {6, 8, 5}, {6, 5, 3}, {6, 3, 11}, {0, 0, 0},
197 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
198 {{6, 4, 8}, {6, 8, 1}, {6, 1, 3}, {6, 3, 11}, {0, 0, 0},
199 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
200 {{6, 0, 1}, {6, 1, 3}, {6, 3, 11}, {0, 0, 0}, {0, 0, 0},
201 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
202 {{10, 0, 2}, {10, 2, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
203 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
204 {{10, 8, 4}, {10, 4, 2}, {10, 2, 11}, {0, 0, 0}, {0, 0, 0},
205 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
206 {{8, 0, 2}, {11, 10, 1}, {11, 1, 5}, {5, 8, 2}, {5, 2, 11},
207 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
208 {{10, 1, 5}, {10, 5, 4}, {10, 4, 2}, {10, 2, 11}, {0, 0, 0},
209 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
210 {{10, 0, 4}, {10, 4, 9}, {10, 9, 11}, {0, 0, 0}, {0, 0, 0},
211 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
212 {{10, 8, 9}, {10, 9, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
213 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
214 {{4, 8, 0}, {10, 1, 5}, {10, 5, 9}, {10, 9, 11}, {0, 0, 0},
215 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
216 {{10, 1, 5}, {10, 5, 9}, {10, 9, 11}, {0, 0, 0}, {0, 0, 0},
217 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
218 {{0, 2, 9}, {0, 9, 5}, {3, 11, 10}, {10, 0, 5}, {10, 5, 3},
219 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
220 {{4, 2, 9}, {10, 8, 5}, {10, 5, 3}, {10, 3, 11}, {0, 0, 0},
221 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
222 {{8, 0, 2}, {8, 2, 9}, {10, 1, 3}, {10, 3, 11}, {0, 0, 0},
223 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
224 {{4, 2, 9}, {10, 1, 3}, {10, 3, 11}, {0, 0, 0}, {0, 0, 0},
225 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
226 {{10, 0, 4}, {10, 4, 5}, {10, 5, 3}, {10, 3, 11}, {0, 0, 0},
227 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
228 {{10, 8, 5}, {10, 5, 3}, {10, 3, 11}, {0, 0, 0}, {0, 0, 0},
229 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
230 {{4, 8, 0}, {10, 1, 3}, {10, 3, 11}, {0, 0, 0}, {0, 0, 0},
231 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
232 {{10, 1, 3}, {10, 3, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
233 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
234 {{1, 10, 6}, {1, 6, 2}, {1, 2, 11}, {1, 11, 7}, {0, 0, 0},
235 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
236 {{0, 10, 6}, {7, 1, 8}, {7, 8, 4}, {7, 4, 2}, {7, 2, 11},
237 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
238 {{8, 10, 6}, {8, 6, 2}, {11, 7, 5}, {5, 8, 2}, {5, 2, 11},
239 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
240 {{0, 10, 6}, {7, 5, 4}, {7, 4, 2}, {7, 2, 11}, {0, 0, 0},
241 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
242 {{10, 6, 4}, {9, 11, 7}, {9, 7, 1}, {1, 10, 4}, {1, 4, 9},
243 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
244 {{0, 10, 6}, {7, 1, 8}, {7, 8, 9}, {7, 9, 11}, {0, 0, 0},
245 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
246 {{4, 8, 10}, {4, 10, 6}, {7, 5, 9}, {7, 9, 11}, {0, 0, 0},
247 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
248 {{0, 10, 6}, {7, 5, 9}, {7, 9, 11}, {0, 0, 0}, {0, 0, 0},
249 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
250 {{5, 1, 10}, {5, 10, 6}, {5, 6, 2}, {5, 2, 9}, {7, 3, 11},
251 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
252 {{0, 10, 6}, {8, 5, 1}, {4, 2, 9}, {7, 3, 11}, {0, 0, 0},
253 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
254 {{8, 10, 6}, {8, 6, 2}, {8, 2, 9}, {7, 3, 11}, {0, 0, 0},
255 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
256 {{0, 10, 6}, {4, 2, 9}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0},
257 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
258 {{10, 6, 4}, {10, 4, 5}, {10, 5, 1}, {7, 3, 11}, {0, 0, 0},
259 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
260 {{0, 10, 6}, {8, 5, 1}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0},
261 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
262 {{4, 8, 10}, {4, 10, 6}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0},
263 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
264 {{0, 10, 6}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
265 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
266 {{7, 1, 0}, {7, 0, 2}, {7, 2, 11}, {0, 0, 0}, {0, 0, 0},
267 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
268 {{7, 1, 8}, {7, 8, 4}, {7, 4, 2}, {7, 2, 11}, {0, 0, 0},
269 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
270 {{7, 5, 8}, {7, 8, 0}, {7, 0, 2}, {7, 2, 11}, {0, 0, 0},
271 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
272 {{7, 5, 4}, {7, 4, 2}, {7, 2, 11}, {0, 0, 0}, {0, 0, 0},
273 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
274 {{7, 1, 0}, {7, 0, 4}, {7, 4, 9}, {7, 9, 11}, {0, 0, 0},
275 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
276 {{7, 1, 8}, {7, 8, 9}, {7, 9, 11}, {0, 0, 0}, {0, 0, 0},
277 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
278 {{4, 8, 0}, {7, 5, 9}, {7, 9, 11}, {0, 0, 0}, {0, 0, 0},
279 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
280 {{7, 5, 9}, {7, 9, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
281 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
282 {{5, 1, 0}, {5, 0, 2}, {5, 2, 9}, {7, 3, 11}, {0, 0, 0},
283 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
284 {{8, 5, 1}, {4, 2, 9}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0},
285 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
286 {{8, 0, 2}, {8, 2, 9}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0},
287 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
288 {{4, 2, 9}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
289 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
290 {{0, 4, 5}, {0, 5, 1}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0},
291 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
292 {{8, 5, 1}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
293 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
294 {{4, 8, 0}, {7, 3, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
295 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
296 {{7, 3, 11}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
297 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
298 {{7, 11, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
299 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
300 {{7, 11, 0}, {7, 0, 8}, {0, 11, 4}, {8, 3, 7}, {11, 3, 4},
301 {3, 8, 4}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
302 {{8, 1, 7}, {8, 7, 11}, {8, 11, 3}, {8, 3, 5}, {0, 0, 0},
303 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
304 {{0, 1, 7}, {0, 7, 11}, {3, 5, 4}, {4, 0, 11}, {4, 11, 3},
305 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
306 {{4, 9, 3}, {4, 3, 7}, {4, 7, 11}, {4, 11, 2}, {0, 0, 0},
307 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
308 {{8, 9, 3}, {8, 3, 7}, {11, 2, 0}, {0, 8, 7}, {0, 7, 11},
309 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
310 {{5, 9, 3}, {4, 8, 1}, {4, 1, 7}, {4, 7, 11}, {4, 11, 2},
311 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
312 {{5, 9, 3}, {0, 1, 7}, {0, 7, 11}, {0, 11, 2}, {0, 0, 0},
313 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
314 {{5, 7, 11}, {5, 11, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
315 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
316 {{8, 5, 7}, {11, 9, 4}, {11, 4, 0}, {0, 8, 7}, {0, 7, 11},
317 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
318 {{8, 1, 7}, {8, 7, 11}, {8, 11, 9}, {0, 0, 0}, {0, 0, 0},
319 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
320 {{4, 0, 1}, {4, 1, 7}, {4, 7, 11}, {4, 11, 9}, {0, 0, 0},
321 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
322 {{4, 5, 7}, {4, 7, 11}, {4, 11, 2}, {0, 0, 0}, {0, 0, 0},
323 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
324 {{0, 8, 5}, {0, 5, 7}, {0, 7, 11}, {0, 11, 2}, {0, 0, 0},
325 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
326 {{4, 8, 1}, {4, 1, 7}, {4, 7, 11}, {4, 11, 2}, {0, 0, 0},
327 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
328 {{0, 1, 7}, {0, 7, 11}, {0, 11, 2}, {0, 0, 0}, {0, 0, 0},
329 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
330 {{0, 6, 11}, {0, 11, 3}, {0, 3, 7}, {0, 7, 10}, {0, 0, 0},
331 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
332 {{7, 10, 8}, {4, 6, 11}, {4, 11, 3}, {3, 7, 8}, {3, 8, 4},
333 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
334 {{10, 1, 7}, {5, 8, 0}, {5, 0, 6}, {5, 6, 11}, {5, 11, 3},
335 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
336 {{10, 1, 7}, {5, 4, 6}, {5, 6, 11}, {5, 11, 3}, {0, 0, 0},
337 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
338 {{7, 10, 0}, {7, 0, 4}, {7, 4, 9}, {7, 9, 3}, {6, 11, 2},
339 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
340 {{7, 10, 8}, {7, 8, 9}, {7, 9, 3}, {6, 11, 2}, {0, 0, 0},
341 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
342 {{4, 8, 0}, {10, 1, 7}, {5, 9, 3}, {6, 11, 2}, {0, 0, 0},
343 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
344 {{10, 1, 7}, {5, 9, 3}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0},
345 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
346 {{5, 7, 10}, {5, 10, 0}, {6, 11, 9}, {9, 5, 0}, {9, 0, 6},
347 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
348 {{10, 8, 5}, {10, 5, 7}, {4, 6, 11}, {4, 11, 9}, {0, 0, 0},
349 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
350 {{10, 1, 7}, {8, 0, 6}, {8, 6, 11}, {8, 11, 9}, {0, 0, 0},
351 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
352 {{10, 1, 7}, {4, 6, 11}, {4, 11, 9}, {0, 0, 0}, {0, 0, 0},
353 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
354 {{10, 0, 4}, {10, 4, 5}, {10, 5, 7}, {6, 11, 2}, {0, 0, 0},
355 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
356 {{10, 8, 5}, {10, 5, 7}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0},
357 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
358 {{4, 8, 0}, {10, 1, 7}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0},
359 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
360 {{10, 1, 7}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
361 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
362 {{1, 10, 11}, {1, 11, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
363 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
364 {{0, 10, 11}, {3, 1, 8}, {3, 8, 4}, {4, 0, 11}, {4, 11, 3},
365 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
366 {{5, 8, 10}, {5, 10, 11}, {5, 11, 3}, {0, 0, 0}, {0, 0, 0},
367 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
368 {{5, 4, 0}, {5, 0, 10}, {5, 10, 11}, {5, 11, 3}, {0, 0, 0},
369 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
370 {{9, 3, 1}, {10, 11, 2}, {10, 2, 4}, {4, 9, 1}, {4, 1, 10},
371 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
372 {{1, 8, 9}, {1, 9, 3}, {0, 10, 11}, {0, 11, 2}, {0, 0, 0},
373 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
374 {{5, 9, 3}, {4, 8, 10}, {4, 10, 11}, {4, 11, 2}, {0, 0, 0},
375 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
376 {{5, 9, 3}, {0, 10, 11}, {0, 11, 2}, {0, 0, 0}, {0, 0, 0},
377 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
378 {{5, 1, 10}, {5, 10, 11}, {5, 11, 9}, {0, 0, 0}, {0, 0, 0},
379 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
380 {{8, 5, 1}, {4, 0, 10}, {4, 10, 11}, {4, 11, 9}, {0, 0, 0},
381 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
382 {{8, 10, 11}, {8, 11, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
383 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
384 {{4, 0, 10}, {4, 10, 11}, {4, 11, 9}, {0, 0, 0}, {0, 0, 0},
385 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
386 {{4, 5, 1}, {4, 1, 10}, {4, 10, 11}, {4, 11, 2}, {0, 0, 0},
387 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
388 {{8, 5, 1}, {0, 10, 11}, {0, 11, 2}, {0, 0, 0}, {0, 0, 0},
389 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
390 {{4, 8, 10}, {4, 10, 11}, {4, 11, 2}, {0, 0, 0}, {0, 0, 0},
391 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
392 {{0, 10, 11}, {0, 11, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
393 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
394 {{1, 0, 6}, {1, 6, 11}, {1, 11, 3}, {0, 0, 0}, {0, 0, 0},
395 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
396 {{1, 8, 4}, {1, 4, 6}, {1, 6, 11}, {1, 11, 3}, {0, 0, 0},
397 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
398 {{5, 8, 0}, {5, 0, 6}, {5, 6, 11}, {5, 11, 3}, {0, 0, 0},
399 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
400 {{5, 4, 6}, {5, 6, 11}, {5, 11, 3}, {0, 0, 0}, {0, 0, 0},
401 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
402 {{1, 0, 4}, {1, 4, 9}, {1, 9, 3}, {6, 11, 2}, {0, 0, 0},
403 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
404 {{1, 8, 9}, {1, 9, 3}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0},
405 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
406 {{4, 8, 0}, {5, 9, 3}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0},
407 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
408 {{5, 9, 3}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
409 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
410 {{5, 1, 0}, {5, 0, 6}, {5, 6, 11}, {5, 11, 9}, {0, 0, 0},
411 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
412 {{8, 5, 1}, {4, 6, 11}, {4, 11, 9}, {0, 0, 0}, {0, 0, 0},
413 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
414 {{8, 0, 6}, {8, 6, 11}, {8, 11, 9}, {0, 0, 0}, {0, 0, 0},
415 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
416 {{4, 6, 11}, {4, 11, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
417 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
418 {{0, 4, 5}, {0, 5, 1}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0},
419 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
420 {{8, 5, 1}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
421 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
422 {{4, 8, 0}, {6, 11, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
423 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
424 {{6, 11, 2}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
425 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
426 {{7, 6, 2}, {7, 2, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
427 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
428 {{7, 6, 0}, {7, 0, 8}, {4, 2, 3}, {3, 7, 8}, {3, 8, 4},
429 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
430 {{1, 7, 6}, {2, 3, 5}, {2, 5, 8}, {8, 1, 6}, {8, 6, 2},
431 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
432 {{6, 0, 1}, {6, 1, 7}, {5, 4, 2}, {5, 2, 3}, {0, 0, 0},
433 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
434 {{7, 6, 4}, {7, 4, 9}, {7, 9, 3}, {0, 0, 0}, {0, 0, 0},
435 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
436 {{7, 6, 0}, {7, 0, 8}, {7, 8, 9}, {7, 9, 3}, {0, 0, 0},
437 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
438 {{6, 4, 8}, {6, 8, 1}, {6, 1, 7}, {5, 9, 3}, {0, 0, 0},
439 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
440 {{6, 0, 1}, {6, 1, 7}, {5, 9, 3}, {0, 0, 0}, {0, 0, 0},
441 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
442 {{5, 7, 6}, {5, 6, 2}, {5, 2, 9}, {0, 0, 0}, {0, 0, 0},
443 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
444 {{6, 0, 8}, {6, 8, 5}, {6, 5, 7}, {4, 2, 9}, {0, 0, 0},
445 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
446 {{8, 1, 7}, {8, 7, 6}, {8, 6, 2}, {8, 2, 9}, {0, 0, 0},
447 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
448 {{6, 0, 1}, {6, 1, 7}, {4, 2, 9}, {0, 0, 0}, {0, 0, 0},
449 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
450 {{6, 4, 5}, {6, 5, 7}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
451 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
452 {{6, 0, 8}, {6, 8, 5}, {6, 5, 7}, {0, 0, 0}, {0, 0, 0},
453 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
454 {{6, 4, 8}, {6, 8, 1}, {6, 1, 7}, {0, 0, 0}, {0, 0, 0},
455 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
456 {{6, 0, 1}, {6, 1, 7}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
457 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
458 {{7, 10, 0}, {7, 0, 2}, {7, 2, 3}, {0, 0, 0}, {0, 0, 0},
459 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
460 {{7, 10, 8}, {7, 8, 4}, {7, 4, 2}, {7, 2, 3}, {0, 0, 0},
461 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
462 {{10, 1, 7}, {5, 8, 0}, {5, 0, 2}, {5, 2, 3}, {0, 0, 0},
463 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
464 {{10, 1, 7}, {5, 4, 2}, {5, 2, 3}, {0, 0, 0}, {0, 0, 0},
465 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
466 {{7, 10, 0}, {7, 0, 4}, {7, 4, 9}, {7, 9, 3}, {0, 0, 0},
467 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
468 {{7, 10, 8}, {7, 8, 9}, {7, 9, 3}, {0, 0, 0}, {0, 0, 0},
469 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
470 {{4, 8, 0}, {10, 1, 7}, {5, 9, 3}, {0, 0, 0}, {0, 0, 0},
471 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
472 {{10, 1, 7}, {5, 9, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
473 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
474 {{5, 7, 10}, {5, 10, 0}, {5, 0, 2}, {5, 2, 9}, {0, 0, 0},
475 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
476 {{10, 8, 5}, {10, 5, 7}, {4, 2, 9}, {0, 0, 0}, {0, 0, 0},
477 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
478 {{10, 1, 7}, {8, 0, 2}, {8, 2, 9}, {0, 0, 0}, {0, 0, 0},
479 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
480 {{10, 1, 7}, {4, 2, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
481 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
482 {{10, 0, 4}, {10, 4, 5}, {10, 5, 7}, {0, 0, 0}, {0, 0, 0},
483 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
484 {{10, 8, 5}, {10, 5, 7}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
485 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
486 {{4, 8, 0}, {10, 1, 7}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
487 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
488 {{10, 1, 7}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
489 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
490 {{1, 10, 6}, {1, 6, 2}, {1, 2, 3}, {0, 0, 0}, {0, 0, 0},
491 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
492 {{0, 10, 6}, {1, 8, 4}, {1, 4, 2}, {1, 2, 3}, {0, 0, 0},
493 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
494 {{5, 8, 10}, {5, 10, 6}, {5, 6, 2}, {5, 2, 3}, {0, 0, 0},
495 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
496 {{0, 10, 6}, {5, 4, 2}, {5, 2, 3}, {0, 0, 0}, {0, 0, 0},
497 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
498 {{1, 10, 6}, {1, 6, 4}, {1, 4, 9}, {1, 9, 3}, {0, 0, 0},
499 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
500 {{0, 10, 6}, {1, 8, 9}, {1, 9, 3}, {0, 0, 0}, {0, 0, 0},
501 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
502 {{4, 8, 10}, {4, 10, 6}, {5, 9, 3}, {0, 0, 0}, {0, 0, 0},
503 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
504 {{0, 10, 6}, {5, 9, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
505 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
506 {{5, 1, 10}, {5, 10, 6}, {5, 6, 2}, {5, 2, 9}, {0, 0, 0},
507 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
508 {{0, 10, 6}, {8, 5, 1}, {4, 2, 9}, {0, 0, 0}, {0, 0, 0},
509 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
510 {{8, 10, 6}, {8, 6, 2}, {8, 2, 9}, {0, 0, 0}, {0, 0, 0},
511 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
512 {{0, 10, 6}, {4, 2, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
513 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
514 {{10, 6, 4}, {10, 4, 5}, {10, 5, 1}, {0, 0, 0}, {0, 0, 0},
515 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
516 {{0, 10, 6}, {8, 5, 1}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
517 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
518 {{4, 8, 10}, {4, 10, 6}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
519 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
520 {{0, 10, 6}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
521 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
522 {{1, 0, 2}, {1, 2, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
523 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
524 {{1, 8, 4}, {1, 4, 2}, {1, 2, 3}, {0, 0, 0}, {0, 0, 0},
525 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
526 {{5, 8, 0}, {5, 0, 2}, {5, 2, 3}, {0, 0, 0}, {0, 0, 0},
527 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
528 {{5, 4, 2}, {5, 2, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
529 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
530 {{1, 0, 4}, {1, 4, 9}, {1, 9, 3}, {0, 0, 0}, {0, 0, 0},
531 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
532 {{1, 8, 9}, {1, 9, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
533 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
534 {{4, 8, 0}, {5, 9, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
535 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
536 {{5, 9, 3}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
537 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
538 {{5, 1, 0}, {5, 0, 2}, {5, 2, 9}, {0, 0, 0}, {0, 0, 0},
539 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
540 {{8, 5, 1}, {4, 2, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
541 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
542 {{8, 0, 2}, {8, 2, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
543 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
544 {{4, 2, 9}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
545 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
546 {{0, 4, 5}, {0, 5, 1}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
547 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
548 {{8, 5, 1}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
549 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
550 {{4, 8, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
551 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
552 {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0},
553 {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}}