Is it then check single-digit POM elimination/placement move first?
I think, there is no elimination/placement possible for double-digit POM move as all subset combinations contain only valid (possible) templates against each other.
each time templates are eliminated, i check whether there is placement or elimination of candidates
combinations are made from possible templates, but some of them do not fit into the combinations and are therefore eliminated and as the combinations are checked for validity this results in new template eliminations
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2.4...5..75.694..169..2...78..9....3..5...1..3....2..45...6..18...183..5187...63.
initialization:
(5 10 5 6 6 9 34 12 6) #VT before checking
(5 5 5 5 6 9 24 12 5) #VT after checking
#VT: (5 5 5 5 6 9 24 12 5)
Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL
Candidates: NIL (57 61 71) NIL (58 65) NIL NIL (61) NIL NIL eliminations found
2 13 4 378 137 178 5 689 69
7 5 38 6 9 4 238 28 1
6 9 138 358 2 158 348 48 7
8 12467 126 9 1457 1567 27 2567 3
49 2467 5 3478 347 678 1 26789 269
3 167 169 578 157 2 789 56789 4
5 234 39 27 6 79 49 1 8
49 26 269 1 8 3 2479 479 5
1 8 7 245 45 59 6 3 29
137 candidates. 34 values.
2combs done
(18 11 14 15 21 43 23 14 12 11 11 11 45 18 12 9 19 31 39 17 11 13 24 34 28 11 22 43 23 12 71 46 10 94 43 34)
number of instances of the 36 size 2 combinations in lexical order (1 2) (1 3) etc.
they are checked for validity and reduce the number of templates from (5 5 5 5 6 9 24 12 5) to (5 4 5 5 4 8 16 8 4) which are then checked for validity
(5 4 5 5 4 8 16 8 4) #VT before checking
(5 4 5 5 4 6 14 8 3) #VT after checking
#VT: (5 4 5 5 4 6 14 8 3)
Cells: NIL (58 81) NIL NIL NIL NIL (60) NIL (78) placements found
SetVC: ( n2r7c4 n7r7c6 n9r9c6 n2r9c9 )
#VT: (5 4 5 5 4 6 14 8 3)
Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL
Candidates: NIL NIL NIL NIL NIL (44) NIL (8 22 24) (44 66) eliminations found
2 13 4 378 137 18 5 69 69
7 5 38 6 9 4 238 28 1
6 9 138 35 2 15 348 48 7
8 12467 126 9 1457 156 27 2567 3
49 2467 5 3478 347 68 1 278 69
3 167 169 578 157 2 789 56789 4
5 34 39 2 6 7 49 1 8
49 26 26 1 8 3 479 479 5
1 8 7 45 45 9 6 3 2
116 candidates. 38 values.
2combs done
36 new sets of size 2 combinations
(16 11 12 8 7 26 13 9 8 10 9 9 31 10 11 8 11 17 20 11 9 8 14 24 17 8 12 25 11 7 45 24 8 32 25 14)
they are checked for validity and reduce the number of templates from (5 4 5 5 4 6 14 8 3) to (3 4 5 5 3 5 13 6 3) which are then checked for validity
(3 4 5 5 3 5 13 6 3) #VT before checking
(1 1 1 1 1 1 1 1 1) #VT after checking
#VT: (1 1 1 1 1 1 1 1 1)
Cells: (5 21 33 47) (17 34 38 66) (2 16 22 41 57) (25 32 37 56 71 76) (24 35 49 77) ste.
(9 30 42 53 65) (4 29 44 50 70) (6 12 26 40 52) (8 45 48 61 64)
SetVC: ( n3r1c2 n7r1c4 n1r1c5 n8r1c6 n9r1c8 n6r1c9 n8r2c3 n3r2c7 n2r2c8 n1r3c3
n3r3c4 n5r3c6 n4r3c7 n8r3c8 n7r4c2 n6r4c3 n4r4c5 n1r4c6 n2r4c7 n5r4c8
n4r5c1 n2r5c2 n8r5c4 n3r5c5 n6r5c6 n7r5c8 n9r5c9 n1r6c2 n9r6c3 n5r6c4
n7r6c5 n8r6c7 n6r6c8 n4r7c2 n3r7c3 n9r7c7 n9r8c1 n6r8c2 n2r8c3 n7r8c7
n4r8c8 n4r9c4 n5r9c5 )
2 3 4 7 1 8 5 9 6
7 5 8 6 9 4 3 2 1
6 9 1 3 2 5 4 8 7
8 7 6 9 4 1 2 5 3
4 2 5 8 3 6 1 7 9
3 1 9 5 7 2 8 6 4
5 4 3 2 6 7 9 1 8
9 6 2 1 8 3 7 4 5
1 8 7 4 5 9 6 3 2