create new infterface Basic and class GroupIndex
Basic to provide GROUP_MEMBERS and CELL_GROUPS, all in base 1
GroupIndex to use for logic processing later on; toPrint() is done, as follows
=== GROUP_MEMBERS
 grp# 1:  1  2  3  4  5  6  7  8  9
 grp# 2: 10 11 12 13 14 15 16 17 18
 grp# 3: 19 20 21 22 23 24 25 26 27
 grp# 4: 28 29 30 31 32 33 34 35 36
 grp# 5: 37 38 39 40 41 42 43 44 45
 grp# 6: 46 47 48 49 50 51 52 53 54
 grp# 7: 55 56 57 58 59 60 61 62 63
 grp# 8: 64 65 66 67 68 69 70 71 72
 grp# 9: 73 74 75 76 77 78 79 80 81
 grp#10:  1 10 19 28 37 46 55 64 73
 grp#11:  2 11 20 29 38 47 56 65 74
 grp#12:  3 12 21 30 39 48 57 66 75
 grp#13:  4 13 22 31 40 49 58 67 76
 grp#14:  5 14 23 32 41 50 59 68 77
 grp#15:  6 15 24 33 42 51 60 69 78
 grp#16:  7 16 25 34 43 52 61 70 79
 grp#17:  8 17 26 35 44 53 62 71 80
 grp#18:  9 18 27 36 45 54 63 72 81
 grp#19:  1  2  3 10 11 12 19 20 21
 grp#20:  4  5  6 13 14 15 22 23 24
 grp#21:  7  8  9 16 17 18 25 26 27
 grp#22: 28 29 30 37 38 39 46 47 48
 grp#23: 31 32 33 40 41 42 49 50 51
 grp#24: 34 35 36 43 44 45 52 53 54
 grp#25: 55 56 57 64 65 66 73 74 75
 grp#26: 58 59 60 67 68 69 76 77 78
 grp#27: 61 62 63 70 71 72 79 80 81
=== CELL_GROUPS
 cell# 1:  1 10 19
 cell# 2:  1 11 19
 cell# 3:  1 12 19
 cell# 4:  1 13 20
 cell# 5:  1 15 20
 cell# 6:  1 15 20
 cell# 7:  1 16 21
 cell# 8:  1 17 21
 cell# 9:  1 18 21
 cell#10:  2 10 19
 cell#11:  2 11 19
 cell#12:  2 12 19
 cell#13:  2 13 20
 cell#14:  2 14 20
 cell#15:  2 15 20
 cell#16:  2 16 21
 cell#17:  2 17 21
 cell#18:  2 18 21
 cell#19:  3 10 19
 cell#20:  3 11 19
 cell#21:  3 12 19
 cell#22:  3 13 20
 cell#23:  3 14 20
 cell#24:  3 15 20
 cell#25:  3 16 21
 cell#26:  3 17 21
 cell#27:  3 18 21
 cell#28:  4 10 22
 cell#29:  4 11 22
 cell#30:  4 12 22
 cell#31:  4 13 23
 cell#32:  4 14 23
 cell#33:  4 15 23
 cell#34:  4 16 24
 cell#35:  4 17 24
 cell#36:  4 18 24
 cell#37:  5 10 22
 cell#38:  5 11 22
 cell#39:  5 12 22
 cell#40:  5 13 23
 cell#41:  5 14 23
 cell#42:  5 15 23
 cell#43:  5 16 24
 cell#44:  5 17 24
 cell#45:  5 18 24
 cell#46:  6 10 22
 cell#47:  6 11 22
 cell#48:  6 12 22
 cell#49:  6 13 23
 cell#50:  6 14 23
 cell#51:  6 15 23
 cell#52:  6 16 24
 cell#53:  6 17 24
 cell#54:  6 18 24
 cell#55:  7 10 25
 cell#56:  7 11 25
 cell#57:  7 12 25
 cell#58:  7 13 26
 cell#59:  7 14 26
 cell#60:  7 15 26
 cell#61:  7 16 27
 cell#62:  7 17 27
 cell#63:  7 18 27
 cell#64:  8 10 25
 cell#65:  8 11 25
 cell#66:  8 12 25
 cell#67:  8 13 26
 cell#68:  8 14 26
 cell#69:  8 15 26
 cell#70:  8 16 27
 cell#71:  8 17 27
 cell#72:  8 18 27
 cell#73:  9 10 25
 cell#74:  9 11 25
 cell#75:  9 12 25
 cell#76:  9 13 26
 cell#77:  9 14 26
 cell#78:  9 15 26
 cell#79:  9 16 27
 cell#80:  9 17 27
 cell#81:  9 18 27