// Cells and their vertices.
#0={0,1,3,4,5,6,7,10,11,12,13,14,15,18,19,20,21,22,25,26,27,28,31,32,33,36,37,40}
#1={2,9,17,24,30,35,39,42}
#2={8,16,23,29,34,38,41,43}
#3={44}

// Induced graph on cells.
#0:.
#1:->#0.
#2:->#0.
#3:->#1,#2.

// Individual cells.
// cell #0:
0[0]: {1,2,3,4,5,6} --> 7
1[1]: {1,2,3,4,5,8} --> 7,8
2[3]: {1,2,3,4,7,8} --> 8,9
3[4]: {1,2,3,6,7,8} --> 9,10
4[5]: {1,2,5,6,7,8} --> 10,11
5[6]: {1,4,5,6,7,8} --> 11,12
6[7]: {3,4,5,6,7,8} --> 12
7[10]: {1,2,3,4,5,7} --> 0,1,13
8[11]: {1,2,3,4,6,8} --> 1,2,13,14
9[12]: {1,2,3,5,7,8} --> 2,3,14,15
10[13]: {1,2,4,6,7,8} --> 3,4,15,16
11[14]: {1,3,5,6,7,8} --> 4,5,16,17
12[15]: {2,4,5,6,7,8} --> 5,6,17
13[18]: {1,2,3,4,6,7} --> 7,8,18
14[19]: {1,2,3,5,6,8} --> 8,9,18,19
15[20]: {1,2,4,5,7,8} --> 9,10,19,20
16[21]: {1,3,4,6,7,8} --> 10,11,20,21
17[22]: {2,3,5,6,7,8} --> 11,12,21
18[25]: {1,2,3,5,6,7} --> 13,14,22
19[26]: {1,2,4,5,6,8} --> 14,15,22,23
20[27]: {1,3,4,5,7,8} --> 15,16,23,24
21[28]: {2,3,4,6,7,8} --> 16,17,24
22[31]: {1,2,4,5,6,7} --> 18,19,25
23[32]: {1,3,4,5,6,8} --> 19,20,25,26
24[33]: {2,3,4,5,7,8} --> 20,21,26
25[36]: {1,3,4,5,6,7} --> 22,23,27
26[37]: {2,3,4,5,6,8} --> 23,24,27
27[40]: {2,3,4,5,6,7} --> 25,26

// cell #1:
0[2]: {1,2,3,4,5,6,7} --> 1
1[9]: {1,2,3,4,5,6,8} --> 0,2
2[17]: {1,2,3,4,5,7,8} --> 1,3
3[24]: {1,2,3,4,6,7,8} --> 2,4
4[30]: {1,2,3,5,6,7,8} --> 3,5
5[35]: {1,2,4,5,6,7,8} --> 4,6
6[39]: {1,3,4,5,6,7,8} --> 5,7
7[42]: {2,3,4,5,6,7,8} --> 6

// cell #2:
0[8]: {2,3,4,5,6,7,8} --> 1
1[16]: {1,3,4,5,6,7,8} --> 0,2
2[23]: {1,2,4,5,6,7,8} --> 1,3
3[29]: {1,2,3,5,6,7,8} --> 2,4
4[34]: {1,2,3,4,6,7,8} --> 3,5
5[38]: {1,2,3,4,5,7,8} --> 4,6
6[41]: {1,2,3,4,5,6,8} --> 5,7
7[43]: {1,2,3,4,5,6,7} --> 6

// cell #3:
0[44]: {1,2,3,4,5,6,7,8}