Analysis of xx-mith-te3-00048440-base.sdk
Contents
Original Sudoku
level: hard
position: .2.....8....18..36......5.4.6..18.7...8.......7132..6....27.3..71..63....328.16.7 initial
Autosolve
position: .2.....8....18..36......5.4.6..18.7...8.......7132..6....27.3..71..63....328.16.7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.506786
The following important HDP chains were detected:
* PRF # A3: 8 # A6: 4,5 => SOL * STA # A3: 8 + A6: 4,5 * CNT 1 HDP CHAINS / 41 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.....8....18..36......5.4.6..18.7...8.......7132..6....27.3..71..63....328.16.7 | initial |
| .2.....8....18..36......5.4.6..18.7...8.......7132..6....27.3..71..63....328.16.7 | autosolve |
| 123456789457189236896732514269518473348697125571324968684275391715963842932841657 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) A1: 1,6 B3: 8,9 E3: 3,9 I1: 1,9 A4: 2,3 A5: 2,3 D5: 6,7 F5: 6,7 A7: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A3: 1.. / A1 = 1 => 11 pairs (_) / A3 = 1 => 7 pairs (_) H7,I7: 1.. / H7 = 1 => 8 pairs (_) / I7 = 1 => 12 pairs (_) A3,H3: 1.. / A3 = 1 => 7 pairs (_) / H3 = 1 => 11 pairs (_) G1,G5: 1.. / G1 = 1 => 12 pairs (_) / G5 = 1 => 10 pairs (_) F2,F3: 2.. / F2 = 2 => 9 pairs (_) / F3 = 2 => 12 pairs (_) G2,H3: 2.. / G2 = 2 => 12 pairs (_) / H3 = 2 => 9 pairs (_) A4,A5: 2.. / A4 = 2 => 8 pairs (_) / A5 = 2 => 7 pairs (_) F2,G2: 2.. / F2 = 2 => 9 pairs (_) / G2 = 2 => 12 pairs (_) F3,H3: 2.. / F3 = 2 => 12 pairs (_) / H3 = 2 => 9 pairs (_) C1,C3: 3.. / C1 = 3 => 8 pairs (_) / C3 = 3 => 12 pairs (_) E1,E3: 3.. / E1 = 3 => 12 pairs (_) / E3 = 3 => 8 pairs (_) A4,A5: 3.. / A4 = 3 => 7 pairs (_) / A5 = 3 => 8 pairs (_) I4,I5: 3.. / I4 = 3 => 8 pairs (_) / I5 = 3 => 7 pairs (_) C1,E1: 3.. / C1 = 3 => 8 pairs (_) / E1 = 3 => 12 pairs (_) C3,E3: 3.. / C3 = 3 => 12 pairs (_) / E3 = 3 => 8 pairs (_) A4,I4: 3.. / A4 = 3 => 7 pairs (_) / I4 = 3 => 8 pairs (_) A5,I5: 3.. / A5 = 3 => 8 pairs (_) / I5 = 3 => 7 pairs (_) D5,F5: 6.. / D5 = 6 => 8 pairs (_) / F5 = 6 => 8 pairs (_) A7,C7: 6.. / A7 = 6 => 12 pairs (_) / C7 = 6 => 8 pairs (_) G1,G2: 7.. / G1 = 7 => 10 pairs (_) / G2 = 7 => 11 pairs (_) D5,F5: 7.. / D5 = 7 => 8 pairs (_) / F5 = 7 => 8 pairs (_) A3,B3: 8.. / A3 = 8 => 12 pairs (_) / B3 = 8 => 8 pairs (_) G6,I6: 8.. / G6 = 8 => 13 pairs (_) / I6 = 8 => 10 pairs (_) A7,B7: 8.. / A7 = 8 => 8 pairs (_) / B7 = 8 => 12 pairs (_) G8,I8: 8.. / G8 = 8 => 10 pairs (_) / I8 = 8 => 13 pairs (_) A3,A7: 8.. / A3 = 8 => 12 pairs (_) / A7 = 8 => 8 pairs (_) B3,B7: 8.. / B3 = 8 => 8 pairs (_) / B7 = 8 => 12 pairs (_) G6,G8: 8.. / G6 = 8 => 13 pairs (_) / G8 = 8 => 10 pairs (_) I6,I8: 8.. / I6 = 8 => 10 pairs (_) / I8 = 8 => 13 pairs (_) * DURATION: 0:00:09.545031 START: 08:39:58.818470 END: 08:40:08.363501 2025-04-06 * CP COUNT: (29) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:08.335804 START: 08:40:16.443856 END: 08:40:24.779660 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00048440-base-pr-002.dot * REASONING * PRF # A3: 8 # A6: 4,5 => SOL * STA # A3: 8 + A6: 4,5 * CNT 1 HDP CHAINS / 41 HYP OPENED
Header Info
rating: 10039; r2: 188201; index: 48440
Solution
position: 123456789457189236896732514269518473348697125571324968684275391715963842932841657 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8 => UNS * INC # B7: 8,9 => UNS * INC # B7: 4,5 => UNS * INC # E1: 3,9 => UNS * INC # E1: 4,5 => UNS * INC # C3: 3,9 => UNS * INC # C3: 6,7 => UNS * INC # G1: 1,9 => UNS * INC # H3: 1,9 => UNS * INC # I5: 1,9 => UNS * INC # I7: 1,9 => UNS * INC # I4: 2,3 => UNS * INC # I4: 5,9 => UNS * INC # I5: 2,3 => UNS * INC # I5: 1,5,9 => UNS * INC # D1: 6,7 => UNS * INC # D3: 6,7 => UNS * INC # F1: 6,7 => UNS * INC # F3: 6,7 => UNS * INC # A3: 6,8 => UNS * INC # A3: 1 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8 => UNS * INC # B7: 8,9 => UNS * INC # B7: 4,5 => UNS * INC # E1: 3,9 => UNS * INC # E1: 4,5 => UNS * INC # C3: 3,9 => UNS * INC # C3: 6,7 => UNS * INC # G1: 1,9 => UNS * INC # H3: 1,9 => UNS * INC # I5: 1,9 => UNS * INC # I7: 1,9 => UNS * INC # I4: 2,3 => UNS * INC # I4: 5,9 => UNS * INC # I5: 2,3 => UNS * INC # I5: 1,5,9 => UNS * INC # D1: 6,7 => UNS * INC # D3: 6,7 => UNS * INC # F1: 6,7 => UNS * INC # F3: 6,7 => UNS * INC # A3: 6,8 => UNS * INC # A3: 1 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8 => UNS * INC # B7: 8,9 => UNS * INC # B7: 4,5 => UNS * INC # E1: 3,9 => UNS * INC # E1: 4,5 => UNS * INC # C3: 3,9 => UNS * INC # C3: 6,7 => UNS * INC # G1: 1,9 => UNS * INC # H3: 1,9 => UNS * INC # I5: 1,9 => UNS * INC # I7: 1,9 => UNS * INC # I4: 2,3 => UNS * INC # I4: 5,9 => UNS * INC # I5: 2,3 => UNS * INC # I5: 1,5,9 => UNS * INC # D1: 6,7 => UNS * INC # D3: 6,7 => UNS * INC # F1: 6,7 => UNS * INC # F3: 6,7 => UNS * INC # A3: 6,8 => UNS * INC # A3: 1 => UNS * INC # A3: 1,6 # E1: 3,9 => UNS * INC # A3: 1,6 # E1: 4,5 => UNS * INC # A3: 1,6 # C3: 3,9 => UNS * INC # A3: 1,6 # C3: 7 => UNS * INC # A3: 1,6 # G1: 1,9 => UNS * INC # A3: 1,6 # H3: 1,9 => UNS * INC # A3: 1,6 # I5: 1,9 => UNS * INC # A3: 1,6 # I7: 1,9 => UNS * INC # A3: 1,6 # I4: 2,3 => UNS * INC # A3: 1,6 # I4: 5,9 => UNS * INC # A3: 1,6 # I5: 2,3 => UNS * INC # A3: 1,6 # I5: 1,5,9 => UNS * INC # A3: 1,6 # D1: 6,7 => UNS * INC # A3: 1,6 # D3: 6,7 => UNS * INC # A3: 1,6 # F1: 6,7 => UNS * INC # A3: 1,6 # F3: 6,7 => UNS * INC # A3: 1,6 => UNS * PRF # A3: 8 # A6: 4,5 => SOL * STA # A3: 8 + A6: 4,5 * CNT 40 HDP CHAINS / 41 HYP OPENED