Creint already showed the solution of #1. Only Naked and Hidden Singles needed.
Code for puzzle #1 for a future version of SiSeSuSo (paste-able)
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4 . 7 . . . 3 . .
. . . . . 7 . . .
. . . 2 . . . 8 . . 6 4 .
. . . . . . 9 . .
8 . . . . . 2 . . . . . 3
. 2 . . . 4 . 6 .
. . . 9 . . . . . 7 . . .
. 7 . 1 . . . 3 .
3 . . . . . 8 . . . . . 4
. . 6 . . . . . .
. 7 9 . . 3 . . . 1 . . .
. . . 5 . . . . .
. . 6 . . . 3 . 1
#2//B4,:000111222/D8,:000111222
4.7...3.......7...........68....2....2...4.6........7.3....8.....6.......79.3..1.
.2..8.64.......9.....2....3.9........7.1...3....8....49...........5.......6...3.1
:000111222 means : 000 row/column 1,2,3 are not shifted down/to the right, 111 means row/col 4,5,6 shifted 1 cell; 222 means shifted 2 cells.
Not yet available in the version 2022-10 of SiSeSuSo.
Code for #2 - Solution possible with Naked and Hidden pairs and triples:
- Code: Select all
2 . . . . . . . .
. 5 . 8 . . 6 1 .
4 . . . . . . . . . . 8 .
8 . 6 . . . . . .
. . 5 . . . . . . 2 . . 9
. . . . . 8 1 . .
. . . . 1 . . . 8 . . . .
. . 9 3 . . . . .
7 . . 7 . . . . . . 2 . .
. . . . . . 9 . 1
. 2 . . . . . . . . . . 2
. 3 2 . . 5 . 1 .
. . . . . . . . 6
#2//B4,:000111222/D8,:000111222
2.........5.8..61.4..........5....2......81.....1..8..7.......2......9.1.2.......
.......8.8.6......5.......9..1..8.....93......7....2..........2.32..5.1.........6
Summary and possible solution path of #2
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Summary eliminated candidates per Method and per Sudoku
Method \ Sudoku | SER | 1 2 (#Methods)
|-------|---------------------
Not counted elims | 0 | 147 98 (245)
Naked Singles | 0.1 | 45 36 (81)
Hidden Singles | 0.2 | 35 58 (26)
Naked Single [1] | 2.5 | 13 21 (34)
Naked Pair [2] | 3 | 0 21 (19)
Naked Triple [3] | 3.6 | 39 16 (26)
Hidden Triple [6] | 4 | 6 3 (4)
|-------|---------------------
Eliminated Cand's | 538 | 285 253
Sum(SER * Cand's) | 408.7 | 208.4 200.3
Initial Candidates : 538
Maximum SER rating : 4 <- Approach
Labour rating : 408.7 <- Experimental rating
Time needed : 00:00:00.492
SiSeSuSo Solver and Generator (version 2022-10)
Naked and Hidden pairs and triples:
NSext means Naked Sextet which is the same as a Hidden Triple.
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[1,1] g1r7c7=4 Naked Single
[1,2] g2r3c5=8 Hidden Single in row 3
[1,3] g2r6c9=8 Hidden Single in row 6
[1,4] g2r9c3=8 Hidden Single in col 3
[1,5] g2r8c4=8 Hidden Single in col 4
[1,6] g2r5c6=6 Hidden Single in col 6
[1,7] g2r7c7=8 Hidden Single in col 7
[1,8] g2r5c2=8 Hidden Single in box 4
[2,9] g1r3c7=2 Hidden Single in col 7
[2,10] g1r1c7=5 Hidden Single in col 7
[2,11] g2r3c2=1 Hidden Single in row 3
[2,12] g2r3c8=2 Hidden Single in row 3
[2,13] g2r2c2=2 Hidden Single in box 1
[2,14] g2r3c7=6 Hidden Single in box 3
[3,14] Naked/Hidden Pairs,Triplets,Quads | NTriple (369)g1c1r256 => (-39)g1r4c1 (-36)g1r8c1 (-369)g1r9c1 | NTriple (379)g1b1e469 => (-379)g1r1c2 (-379)g1r1c3 (-379)g1r3c2 | NTriple (379)g1r3c349 => (-379)g1r3c5 (-79)g1r3c6 (-379)g1r3c8 | NTriple (378)g1r3c489 => (-8)g1r3c2 (-37)g1r3c3 | 1 (9)g1c3r3 => (-9)g1r2c3 (-9)g1r5c3 (-9)g1r9c3 | 1 (8)g1b3e8 => (-8)g1r1c8 | NTriple (347)g1r4c467 => (-347)g1r4c2 (-347)g1r4c5 | 1 (9)g1r4c5 => (-9)g1r4c2 | 1 (9)g1c5r4 => (-9)g1r1c5 (-9)g1r2c5 (-9)g1r5c5 (-9)g1r6c5 (-9)g1r7c5 (-9)g1r9c5 | 1 (9)g1b5e2 => (-9)g1r5c4 (-9)g1r6c6 | NTriple (356)g1r7c348 => (-36)g1r7c2 (-356)g1r7c5 (-5)g1r7c6 | NSext (134568)g1b7e345679 => (-18)g1r7c2 | NSext (134567)g1r9c134578 => (-1467)g1r9c6 | 1 (9)g2r1c1 => (-9)g2r1c2 (-9)g2r1c5 | NPair (49)g2r1c12 => (-4)g2r1c5 (-4)g2r1c9 | NTriple (379)g2r1c137 => (-37)g2r1c5 (-37)g2r1c9 | 1 (9)g2c1r1 => (-9)g2r8c1 (-9)g2r9c1 | NPair (49)g2b1e12 => (-4)g2r3c3 | 1 (4)g2c2r1 => (-4)g2r4c2 (-4)g2r7c2 (-4)g2r9c2 | NPair (37)g2r3c36 => (-7)g2r3c4 | NPair (37)g2c3r13 => (-3)g2r6c3 (-7)g2r7c3 | NTriple (357)g2c3r136 => (-5)g2r7c3 | NSext (124579)g2c4r234679 => (-15)g2r1c4 | 1 (4)g2c4r3 => (-4)g2r2c4 (-4)g2r9c4 | NTriple (149)g2c4r367 => (-19)g2r2c4 (-19)g2r9c4 | NPair (49)g2c4r37 => (-9)g2r6c4 | NTriple (356)g2b4e279 => (-36)g2r4c1 | NPair (56)g2b4e29 => (-6)g2r6c1 | NPair (35)g2b4e79 => (-5)g2r4c2 | 1 (1)g2b5e7 => (-1)g2r5c5 (-1)g2r6c5 | 1 (3)g2r6c1 => (-3)g2r6c8 | NPair (35)g2r6c13 => (-5)g2r6c5 (-5)g2r6c8 | NTriple (359)g2r6c135 => (-9)g2r6c8 | NPair (37)g2c6r37 => (-37)g2r2c6 (-37)g2r9c6 | 1 (6)g2b6e8 => (-6)g2r4c8 | 1 (4)g2r7c3 => (-4)g2r7c1 (-4)g2r7c5 (-4)g2r7c8 | NPair (49)g2r7c34 => (-9)g2r7c2 (-9)g2r7c5 (-9)g2r7c8 | 1 (4)g2b7e3 => (-4)g2r8c1 (-4)g2r9c1 | 1 (9)g2b8e1 => (-9)g2r8c5 (-9)g2r9c5 (-9)g2r9c6 | NPair (19)g2b8e19 => (-1)g2r7c5 (-1)g2r9c5 | NTriple (127)g2r9c146 => (-27)g2r9c5 (-7)g2r9c7 (-7)g2r9c8 | NPair (17)g2r9c16 => (-7)g2r9c4 | NSext (123459)g2r9c245678 => (-1)g2r9c1
[4,15] g1r3c3=9 Naked Single
[4,16] g1r3c6=6 Naked Single
[4,17] g1r3c8=8 Naked Single
[4,18] g1r4c5=9 Naked Single
[4,19] g1r4c6=4 Naked Single
[4,20] g1r7c2=9 Naked Single
[4,21] g1r7c3=3 Naked Single
[4,22] g1r7c4=5 Naked Single
[4,23] g1r7c6=1 Naked Single
[4,24] g1r7c8=6 Naked Single
[4,25] g1r9c4=4 Naked Single
[4,26] g1r9c6=9 Naked Single
[4,27] g2r1c2=4 Naked Single
[4,28] g2r4c2=6 Naked Single
[4,29] g2r6c5=9 Naked Single
[4,30] g2r6c8=6 Naked Single
[4,31] g2r7c2=5 Naked Single
[4,32] g2r9c1=7 Naked Single
[4,33] g2r9c2=9 Naked Single
[4,34] g2r9c4=2 Naked Single
[4,35] g2r9c6=1 Naked Single
[5,36] g1r2c1=3 Naked Single
[5,37] g1r2c3=7 Naked Single
[5,38] g1r2c6=2 Naked Single
[5,39] g1r3c2=1 Naked Single
[5,40] g1r3c5=5 Naked Single
[5,41] g1r4c2=8 Naked Single
[5,42] g1r7c5=8 Naked Single
[5,43] g2r2c6=9 Naked Single
[5,44] g2r8c1=6 Naked Single
[6,45] g1r1c2=6 Naked Single
[6,46] g1r1c3=8 Naked Single
[6,47] g1r2c5=4 Naked Single
[6,48] g1r2c9=9 Naked Single
[6,49] g1r4c1=1 Naked Single
[6,50] g1r8c2=4 Naked Single
[6,51] g1r8c3=6 Naked Single
[6,52] g1r9c1=5 Naked Single
[6,53] g1r9c3=1 Naked Single
[6,54] g2r4c8=9 Hidden Single in row 4
[6,55] g2r7c5=6 Hidden Single in row 7
[6,56] g2r8c7=9 Hidden Single in row 8
[7,57] g1r8c1=8 Naked Single
[8,58] g1r1c5=1 Hidden Single in row 1
[8,59] g1r1c4=9 Hidden Single in row 1
[8,60] g1r8c8=5 Hidden Single in row 8
[8,61] g1r9c5=6 Hidden Single in row 9
[8,62] g1r5c4=6 Hidden Single in col 4
[8,63] g1r6c6=5 Hidden Single in col 6
[8,64] g1r5c9=5 Hidden Single in col 9
[8,65] g1r6c1=6 Hidden Single in box 4
[8,66] g1r5c1=9 Hidden Single in box 4
[8,67] g1r6c8=9 Hidden Single in box 6
[8,68] g2r2c4=7 Naked Single
[8,69] g2r3c6=3 Naked Single
[8,70] g2r7c6=7 Naked Single
[8,71] g2r7c8=3 Naked Single
[8,72] g2r8c5=4 Naked Single
[8,73] g2r8c9=7 Naked Single
[8,74] g2r9c5=3 Naked Single
[9,75] g1r4c4=7 Naked Single
[9,76] g1r9c8=3 Naked Single
[9,77] g2r1c3=3 Naked Single
[9,78] g2r1c7=7 Naked Single
[9,79] g2r4c7=4 Naked Single
[9,80] g2r4c9=3 Naked Single
[9,81] g2r9c7=5 Naked Single
[9,82] g2r9c8=4 Naked Single
[10,83] g1r1c6=7 Naked Single
[10,84] g1r1c8=4 Naked Single
[10,85] g1r1c9=3 Naked Single
[10,86] g1r5c8=7 Naked Single
[10,87] g1r6c3=2 Naked Single
[10,88] g1r6c5=3 Naked Single
[10,89] g1r8c4=2 Naked Single
[10,90] g1r8c5=7 Naked Single
[10,91] g1r8c6=3 Naked Single
[10,92] g2r2c8=5 Naked Single
[10,93] g2r4c5=7 Naked Single
[10,94] g2r5c1=4 Naked Single
[10,95] g2r5c5=2 Naked Single
[10,96] g2r5c7=1 Naked Single
[10,97] g2r5c8=7 Naked Single
[10,98] g2r5c9=5 Naked Single
[11,99] g1r5c2=3 Naked Single
[11,100] g1r5c3=4 Naked Single
[11,101] g1r5c5=2 Naked Single
[11,102] g1r6c2=7 Naked Single
[11,103] g2r1c9=1 Naked Single
[11,104] g2r2c5=1 Naked Single
[11,105] g2r2c7=3 Naked Single
[11,106] g2r2c9=4 Naked Single
[12,107] g2r1c5=5 Naked Single
Summary used methods to solve #3.
Paste-able Code:
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#2//B4,:000111222/D8,:000111222
.....76...47...5...6................2...9...7.......3.82..5.......9.....3........
........5.....8.......4..89.5.......3...6...1................2...5...81...42.....
A Forcing Net or Forcing Chain is needed per sub-grid.
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Summary eliminated candidates per Method and per Sudoku
Method \ Sudoku | SER | 1 2 (#Methods)
|-------|---------------------
Not counted elims | 0 | 135 87 (222)
Naked Singles | 0.1 | 39 19 (58)
Hidden Singles | 0.2 | 56 86 (49)
Naked Single [1] | 2.5 | 3 6 (9)
Naked Pair [2] | 3 | 14 11 (16)
Naked Triple [3] | 3.6 | 14 22 (19)
Naked Quad [4] | 5 | 5 1 (4)
Hidden Triple [6] | 4 | 0 2 (2)
Pointing/Claiming | 2.8 | 10 14 (24)
WXYZ Wing [B4] | 5.5 | 1 1 (2)
Turbot-fish [4] | 4.2 | 4 0 (4)
Forcing Nets [2] | 7.6 | 1 1 (2)
|-------|---------------------
Eliminated Cand's | 532 | 282 250
Sum(SER * Cand's) | 409.5 | 197.9 211.6
Initial Candidates : 532
Maximum SER rating : 7.6 <- Approach
Labour rating : 409.5 <- Experimental rating
Guesses (BF/BT;FN) : 16
Time needed : 00:00:04.378
SiSeSuSo Solver and Generator (version 2022-10)