Analysis of xx-mith-te3-00135305-base.sdk
Contents
Original Sudoku
level: hard
position: 1...5..8....18....98.3.7.5..3....6..7.....4.2.......15.79......51.73.9....8.915.7 initial
Autosolve
position: 1...5..8..5.18....98.3.7.5..3....6..7.....4.2.......15.79......51.73.9....8.915.7 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H2: 3,7 => CTR => H2: 2,4,6,9 * CNT 1 HDP CHAINS / 17 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # H2: 3,7 => CTR => H2: 2,4,6,9 * STA H2: 2,4,6,9 * CNT 1 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1...5..8..5.18....98.3.7.5..3....67.7.....4.2....7..15.79......51.73.9....8.915.7 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:15.333512
The following important HDP chains were detected:
* PRF # G2: 2 # A9: 4,6 => SOL * STA # G2: 2 + A9: 4,6 * CNT 1 HDP CHAINS / 71 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1...5..8....18....98.3.7.5..3....6..7.....4.2.......15.79......51.73.9....8.915.7 | initial |
| 1...5..8..5.18....98.3.7.5..3....6..7.....4.2.......15.79......51.73.9....8.915.7 | autosolve |
| 1...5..8..5.18....98.3.7.5..3....67.7.....4.2....7..15.79......51.73.9....8.915.7 | pair_reduction |
| 123456789457189263986327154231945678765813492894672315379564821512738946648291537 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (10) C1: 3,7 C2: 3,7 G3: 1,2 C4: 1,5 B5: 6,9 C5: 1,5 E5: 1,6 H4: 7,9 I4: 8,9 H5: 3,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G3,I3: 1.. / G3 = 1 => 13 pairs (_) / I3 = 1 => 15 pairs (_) C4,C5: 1.. / C4 = 1 => 7 pairs (_) / C5 = 1 => 13 pairs (_) E4,E5: 1.. / E4 = 1 => 13 pairs (_) / E5 = 1 => 7 pairs (_) G7,I7: 1.. / G7 = 1 => 15 pairs (_) / I7 = 1 => 13 pairs (_) C4,E4: 1.. / C4 = 1 => 7 pairs (_) / E4 = 1 => 13 pairs (_) C5,E5: 1.. / C5 = 1 => 13 pairs (_) / E5 = 1 => 7 pairs (_) G3,G7: 1.. / G3 = 1 => 13 pairs (_) / G7 = 1 => 15 pairs (_) I3,I7: 1.. / I3 = 1 => 15 pairs (_) / I7 = 1 => 13 pairs (_) C1,C2: 3.. / C1 = 3 => 9 pairs (_) / C2 = 3 => 10 pairs (_) F5,F6: 3.. / F5 = 3 => 20 pairs (_) / F6 = 3 => 12 pairs (_) H5,G6: 3.. / H5 = 3 => 12 pairs (_) / G6 = 3 => 20 pairs (_) A7,A9: 3.. / A7 = 3 => 0 pairs (*) / A9 = 3 => 0 pairs (X) F5,H5: 3.. / F5 = 3 => 20 pairs (_) / H5 = 3 => 12 pairs (_) F6,G6: 3.. / F6 = 3 => 12 pairs (_) / G6 = 3 => 20 pairs (_) A9,H9: 3.. / A9 = 3 => 10 pairs (_) / H9 = 3 => 0 pairs (*) C4,C5: 5.. / C4 = 5 => 13 pairs (_) / C5 = 5 => 7 pairs (_) D7,F7: 5.. / D7 = 5 => 10 pairs (_) / F7 = 5 => 10 pairs (_) C1,C2: 7.. / C1 = 7 => 10 pairs (_) / C2 = 7 => 9 pairs (_) E4,E6: 7.. / E4 = 7 => 0 pairs (X) / E6 = 7 => 10 pairs (_) H4,G6: 7.. / H4 = 7 => 10 pairs (_) / G6 = 7 => 0 pairs (X) C1,G1: 7.. / C1 = 7 => 10 pairs (_) / G1 = 7 => 9 pairs (_) E4,H4: 7.. / E4 = 7 => 0 pairs (X) / H4 = 7 => 10 pairs (_) E6,G6: 7.. / E6 = 7 => 10 pairs (_) / G6 = 7 => 0 pairs (X) H2,H4: 7.. / H2 = 7 => 0 pairs (X) / H4 = 7 => 10 pairs (_) A4,A6: 8.. / A4 = 8 => 12 pairs (_) / A6 = 8 => 20 pairs (_) D5,F5: 8.. / D5 = 8 => 10 pairs (_) / F5 = 8 => 11 pairs (_) I4,G6: 8.. / I4 = 8 => 20 pairs (_) / G6 = 8 => 12 pairs (_) A4,I4: 8.. / A4 = 8 => 12 pairs (_) / I4 = 8 => 20 pairs (_) A6,G6: 8.. / A6 = 8 => 20 pairs (_) / G6 = 8 => 12 pairs (_) F8,I8: 8.. / F8 = 8 => 20 pairs (_) / I8 = 8 => 12 pairs (_) D5,D7: 8.. / D5 = 8 => 10 pairs (_) / D7 = 8 => 11 pairs (_) G6,G7: 8.. / G6 = 8 => 12 pairs (_) / G7 = 8 => 20 pairs (_) B5,B6: 9.. / B5 = 9 => 10 pairs (_) / B6 = 9 => 10 pairs (_) * DURATION: 0:00:10.771926 START: 11:17:14.282088 END: 11:17:25.054014 2025-04-05 * CP COUNT: (33) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:15.154917 START: 11:17:33.800364 END: 11:17:48.955281 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00135305-base-pr-002.dot * REASONING * PRF # G2: 2 # A9: 4,6 => SOL * STA # G2: 2 + A9: 4,6 * CNT 1 HDP CHAINS / 71 HYP OPENED
Header Info
rating: 35938; r2: 652902; index: 135305
Solution
position: 123456789457189263986327154231945678765813492894672315379564821512738946648291537 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 # G1: 3,7 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 => UNS * DIS # H2: 3,7 => CTR => H2: 2,4,6,9 * INC # H2: 2,4,6,9 => UNS * INC # G7: 1,2 => UNS * INC # G7: 3,8 => UNS * INC # B6: 6,9 => UNS * INC # B6: 2,4 => UNS * INC # D5: 6,9 => UNS * INC # F5: 6,9 => UNS * INC # H2: 7,9 => UNS * INC # H2: 2,3,4,6 => UNS * INC # F5: 3,9 => UNS * INC # F5: 5,6,8 => UNS * INC # H2: 3,9 => UNS * INC # H2: 2,4,6,7 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 3,7 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 => UNS * DIS # H2: 3,7 => CTR => H2: 2,4,6,9 * INC H2: 2,4,6,9 # G2: 3,7 => UNS * INC H2: 2,4,6,9 # G2: 2 => UNS * INC H2: 2,4,6,9 # G2: 3,7 => UNS * INC H2: 2,4,6,9 # G2: 2 => UNS * INC H2: 2,4,6,9 # G7: 1,2 => UNS * INC H2: 2,4,6,9 # G7: 3,8 => UNS * INC H2: 2,4,6,9 # B6: 6,9 => UNS * INC H2: 2,4,6,9 # B6: 2,4 => UNS * INC H2: 2,4,6,9 # D5: 6,9 => UNS * INC H2: 2,4,6,9 # F5: 6,9 => UNS * INC H2: 2,4,6,9 # F5: 3,9 => UNS * INC H2: 2,4,6,9 # F5: 5,6,8 => UNS * INC H2: 2,4,6,9 # G1: 3,7 => UNS * INC H2: 2,4,6,9 # G1: 2 => UNS * INC H2: 2,4,6,9 # G2: 3,7 => UNS * INC H2: 2,4,6,9 # G2: 2 => UNS * INC H2: 2,4,6,9 # G7: 1,2 => UNS * INC H2: 2,4,6,9 # G7: 3,8 => UNS * INC H2: 2,4,6,9 # B6: 6,9 => UNS * INC H2: 2,4,6,9 # B6: 2,4 => UNS * INC H2: 2,4,6,9 # D5: 6,9 => UNS * INC H2: 2,4,6,9 # F5: 6,9 => UNS * INC H2: 2,4,6,9 # F5: 3,9 => UNS * INC H2: 2,4,6,9 # F5: 5,6,8 => UNS * INC H2: 2,4,6,9 # G7: 3,8 => UNS * INC H2: 2,4,6,9 # G7: 1,2 => UNS * STA H2: 2,4,6,9 * CNT 30 HDP CHAINS / 30 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 3,7 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2 => UNS * INC # G7: 1,2 => UNS * INC # G7: 3,8 => UNS * INC # B6: 6,9 => UNS * INC # B6: 2,4 => UNS * INC # D5: 6,9 => UNS * INC # F5: 6,9 => UNS * INC # F5: 3,9 => UNS * INC # F5: 5,6,8 => UNS * INC # G7: 3,8 => UNS * INC # G7: 1,2 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # G2: 2 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # G2: 2 => UNS * INC # G1: 3,7 # G7: 1,2 => UNS * INC # G1: 3,7 # G7: 3,8 => UNS * INC # G1: 3,7 # B6: 6,9 => UNS * INC # G1: 3,7 # B6: 2,4 => UNS * INC # G1: 3,7 # D5: 6,9 => UNS * INC # G1: 3,7 # F5: 6,9 => UNS * INC # G1: 3,7 # F5: 3,9 => UNS * INC # G1: 3,7 # F5: 5,6,8 => UNS * INC # G1: 3,7 # G7: 3,8 => UNS * INC # G1: 3,7 # G7: 1,2 => UNS * INC # G1: 3,7 => UNS * INC # G1: 2 # A2: 4,6 => UNS * INC # G1: 2 # C3: 4,6 => UNS * INC # G1: 2 # D1: 4,6 => UNS * INC # G1: 2 # F1: 4,6 => UNS * INC # G1: 2 # B6: 4,6 => UNS * INC # G1: 2 # B9: 4,6 => UNS * INC # G1: 2 # H2: 4,6 => UNS * INC # G1: 2 # I2: 4,6 => UNS * INC # G1: 2 # C3: 4,6 => UNS * INC # G1: 2 # E3: 4,6 => UNS * INC # G1: 2 # I8: 4,6 => UNS * INC # G1: 2 # I8: 8 => UNS * INC # G1: 2 # B6: 6,9 => UNS * INC # G1: 2 # B6: 2,4 => UNS * INC # G1: 2 # D5: 6,9 => UNS * INC # G1: 2 # F5: 6,9 => UNS * INC # G1: 2 # F5: 3,9 => UNS * INC # G1: 2 # F5: 5,6,8 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # G1: 2 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # G1: 2 => UNS * INC # G2: 3,7 # G7: 1,2 => UNS * INC # G2: 3,7 # G7: 3,8 => UNS * INC # G2: 3,7 # B6: 6,9 => UNS * INC # G2: 3,7 # B6: 2,4 => UNS * INC # G2: 3,7 # D5: 6,9 => UNS * INC # G2: 3,7 # F5: 6,9 => UNS * INC # G2: 3,7 # F5: 3,9 => UNS * INC # G2: 3,7 # F5: 5,6,8 => UNS * INC # G2: 3,7 # G7: 3,8 => UNS * INC # G2: 3,7 # G7: 1,2 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2 # B1: 4,6 => UNS * INC # G2: 2 # C3: 4,6 => UNS * INC # G2: 2 # F2: 4,6 => UNS * INC # G2: 2 # H2: 4,6 => UNS * INC # G2: 2 # A6: 4,6 => UNS * INC # G2: 2 # A7: 4,6 => UNS * PRF # G2: 2 # A9: 4,6 => SOL * STA # G2: 2 + A9: 4,6 * CNT 70 HDP CHAINS / 71 HYP OPENED