Analysis of xx-mith-te3-00011096-base.sdk
Contents
Original Sudoku
level: hard
position: .......8.4.7.8..6368..3.4.5....71.3676..........692...3.67....857.....4..485....7 initial
Autosolve
position: .......8.4.7.8..6368..3.4.5....71.3676..........692...3.67....857.....4..485....7 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # F1: 5,9 => CTR => F1: 4,6,7 * DIS # F1: 7,9 => CTR => F1: 4,5,6 * CNT 2 HDP CHAINS / 26 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # F1: 5,9 => CTR => F1: 4,6,7 * STA F1: 4,6,7 * CNT 1 HDP CHAINS / 41 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .......8.4.7.8..6368..3.4.5....71.3676..........692...3.67....857.....4..485....7 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:10.482289
The following important HDP chains were detected:
* DIS # B2: 5,9 # E1: 1,2 => CTR => E1: 4,5,6 * DIS # B2: 5,9 + E1: 4,5,6 # G1: 1,2 => CTR => G1: 7,9 * PRF # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # F5: 4,5 => SOL * STA # B2: 5,9 + E1: 4,5,6 + G1: 7,9 + F5: 4,5 * CNT 3 HDP CHAINS / 42 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .......8.4.7.8..6368..3.4.5....71.3676..........692...3.67....857.....4..485....7 | initial |
| .......8.4.7.8..6368..3.4.5....71.3676..........692...3.67....857.....4..485....7 | autosolve |
| .......8.4.7.8..6368..3.4.5....71.3676..........692...3.67....857.....4..485....7 | pair_reduction |
| 123456789457189263689237415294871536761345892835692174316724958572968341948513627 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) F2: 5,9 F3: 7,9 A6: 1,8 D4: 4,8 E5: 4,5 I6: 1,4 F7: 4,9 G8: 3,6 G9: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,C1: 3.. / B1 = 3 => 9 pairs (_) / C1 = 3 => 10 pairs (_) B6,C6: 3.. / B6 = 3 => 10 pairs (_) / C6 = 3 => 9 pairs (_) D5,F5: 3.. / D5 = 3 => 9 pairs (_) / F5 = 3 => 11 pairs (_) G8,G9: 3.. / G8 = 3 => 8 pairs (_) / G9 = 3 => 13 pairs (_) F9,G9: 3.. / F9 = 3 => 8 pairs (_) / G9 = 3 => 13 pairs (_) B1,B6: 3.. / B1 = 3 => 9 pairs (_) / B6 = 3 => 10 pairs (_) C1,C6: 3.. / C1 = 3 => 10 pairs (_) / C6 = 3 => 9 pairs (_) D5,D8: 3.. / D5 = 3 => 9 pairs (_) / D8 = 3 => 11 pairs (_) I5,I6: 4.. / I5 = 4 => 18 pairs (_) / I6 = 4 => 8 pairs (_) E7,F7: 4.. / E7 = 4 => 12 pairs (_) / F7 = 4 => 10 pairs (_) C4,D4: 4.. / C4 = 4 => 10 pairs (_) / D4 = 4 => 15 pairs (_) C6,I6: 4.. / C6 = 4 => 18 pairs (_) / I6 = 4 => 8 pairs (_) E5,F5: 5.. / E5 = 5 => 8 pairs (_) / F5 = 5 => 0 pairs (*) G7,H7: 5.. / G7 = 5 => 0 pairs (X) / H7 = 5 => 10 pairs (_) B2,F2: 5.. / B2 = 5 => 0 pairs (*) / F2 = 5 => 0 pairs (X) E1,E5: 5.. / E1 = 5 => 0 pairs (*) / E5 = 5 => 0 pairs (X) H6,H7: 5.. / H6 = 5 => 0 pairs (X) / H7 = 5 => 10 pairs (_) E1,F1: 6.. / E1 = 6 => 14 pairs (_) / F1 = 6 => 9 pairs (_) G8,G9: 6.. / G8 = 6 => 13 pairs (_) / G9 = 6 => 8 pairs (_) F1,F3: 7.. / F1 = 7 => 0 pairs (X) / F3 = 7 => 8 pairs (_) G1,H3: 7.. / G1 = 7 => 8 pairs (_) / H3 = 7 => 0 pairs (X) G6,H6: 7.. / G6 = 7 => 0 pairs (X) / H6 = 7 => 8 pairs (_) F1,G1: 7.. / F1 = 7 => 0 pairs (X) / G1 = 7 => 8 pairs (_) F3,H3: 7.. / F3 = 7 => 8 pairs (_) / H3 = 7 => 0 pairs (X) G1,G6: 7.. / G1 = 7 => 8 pairs (_) / G6 = 7 => 0 pairs (X) H3,H6: 7.. / H3 = 7 => 0 pairs (X) / H6 = 7 => 8 pairs (_) A4,A6: 8.. / A4 = 8 => 16 pairs (_) / A6 = 8 => 9 pairs (_) D8,F8: 8.. / D8 = 8 => 12 pairs (_) / F8 = 8 => 9 pairs (_) A6,G6: 8.. / A6 = 8 => 9 pairs (_) / G6 = 8 => 16 pairs (_) F5,F8: 8.. / F5 = 8 => 12 pairs (_) / F8 = 8 => 9 pairs (_) * DURATION: 0:00:07.744158 START: 06:47:22.108631 END: 06:47:29.852789 2025-04-04 * CP COUNT: (30) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:10.329797 START: 06:47:40.224070 END: 06:47:50.553867 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00011096-base-pr-002.dot * REASONING * DIS # B2: 5,9 # E1: 1,2 => CTR => E1: 4,5,6 * DIS # B2: 5,9 + E1: 4,5,6 # G1: 1,2 => CTR => G1: 7,9 * PRF # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # F5: 4,5 => SOL * STA # B2: 5,9 + E1: 4,5,6 + G1: 7,9 + F5: 4,5 * CNT 3 HDP CHAINS / 42 HYP OPENED
Header Info
rating: 2593; r2: 43050; index: 11096
Solution
position: 123456789457189263689237415294871536761345892835692174316724958572968341948513627 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:
* DIS # F1: 5,9 => CTR => F1: 4,6,7 * INC # F1: 4,6,7 => UNS * INC # B2: 5,9 => UNS * INC # B2: 1,2 => UNS * DIS # F1: 7,9 => CTR => F1: 4,5,6 * INC # F1: 4,5,6 => UNS * INC # H3: 7,9 => UNS * INC # H3: 1,2 => UNS * INC # G6: 1,8 => UNS * INC # G6: 5,7 => UNS * INC # D5: 4,8 => UNS * INC # F5: 4,8 => UNS * INC # F5: 4,5 => UNS * INC # F5: 3,8 => UNS * INC # E1: 4,5 => UNS * INC # E1: 1,2,6 => UNS * INC # I5: 1,4 => UNS * INC # I5: 2,9 => UNS * INC # C6: 1,4 => UNS * INC # C6: 3,5 => UNS * INC # F1: 4,9 => UNS * INC # F1: 5,6,7 => UNS * INC # F8: 3,6 => UNS * INC # F8: 8,9 => UNS * INC # F9: 3,6 => UNS * INC # F9: 9 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # F1: 5,9 => CTR => F1: 4,6,7 * INC F1: 4,6,7 # B2: 5,9 => UNS * INC F1: 4,6,7 # B2: 1,2 => UNS * INC F1: 4,6,7 # H3: 7,9 => UNS * INC F1: 4,6,7 # H3: 1,2 => UNS * INC F1: 4,6,7 # G6: 1,8 => UNS * INC F1: 4,6,7 # G6: 5,7 => UNS * INC F1: 4,6,7 # D5: 4,8 => UNS * INC F1: 4,6,7 # F5: 4,8 => UNS * INC F1: 4,6,7 # F5: 4,5 => UNS * INC F1: 4,6,7 # F5: 3,8 => UNS * INC F1: 4,6,7 # E1: 4,5 => UNS * INC F1: 4,6,7 # E1: 1,2,6 => UNS * INC F1: 4,6,7 # I5: 1,4 => UNS * INC F1: 4,6,7 # I5: 2,9 => UNS * INC F1: 4,6,7 # C6: 1,4 => UNS * INC F1: 4,6,7 # C6: 3,5 => UNS * INC F1: 4,6,7 # F8: 3,6 => UNS * INC F1: 4,6,7 # F8: 8,9 => UNS * INC F1: 4,6,7 # F9: 3,6 => UNS * INC F1: 4,6,7 # F9: 9 => UNS * INC F1: 4,6,7 # B2: 5,9 => UNS * INC F1: 4,6,7 # B2: 1,2 => UNS * INC F1: 4,6,7 # H3: 7,9 => UNS * INC F1: 4,6,7 # H3: 1,2 => UNS * INC F1: 4,6,7 # G6: 1,8 => UNS * INC F1: 4,6,7 # G6: 5,7 => UNS * INC F1: 4,6,7 # D5: 4,8 => UNS * INC F1: 4,6,7 # F5: 4,8 => UNS * INC F1: 4,6,7 # F5: 4,5 => UNS * INC F1: 4,6,7 # F5: 3,8 => UNS * INC F1: 4,6,7 # E1: 4,5 => UNS * INC F1: 4,6,7 # E1: 1,2,6 => UNS * INC F1: 4,6,7 # I5: 1,4 => UNS * INC F1: 4,6,7 # I5: 2,9 => UNS * INC F1: 4,6,7 # C6: 1,4 => UNS * INC F1: 4,6,7 # C6: 3,5 => UNS * INC F1: 4,6,7 # F8: 3,6 => UNS * INC F1: 4,6,7 # F8: 8,9 => UNS * INC F1: 4,6,7 # F9: 3,6 => UNS * INC F1: 4,6,7 # F9: 9 => UNS * STA F1: 4,6,7 * CNT 41 HDP CHAINS / 41 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 5,9 => UNS * INC # B2: 1,2 => UNS * INC # H3: 7,9 => UNS * INC # H3: 1,2 => UNS * INC # G6: 1,8 => UNS * INC # G6: 5,7 => UNS * INC # D5: 4,8 => UNS * INC # F5: 4,8 => UNS * INC # F5: 4,5 => UNS * INC # F5: 3,8 => UNS * INC # E1: 4,5 => UNS * INC # E1: 1,2,6 => UNS * INC # I5: 1,4 => UNS * INC # I5: 2,9 => UNS * INC # C6: 1,4 => UNS * INC # C6: 3,5 => UNS * INC # F8: 3,6 => UNS * INC # F8: 8,9 => UNS * INC # F9: 3,6 => UNS * INC # F9: 9 => UNS * INC # B2: 5,9 # B1: 5,9 => UNS * INC # B2: 5,9 # C1: 5,9 => UNS * INC # B2: 5,9 # B4: 5,9 => UNS * INC # B2: 5,9 # B4: 2 => UNS * INC # B2: 5,9 # D1: 1,2 => UNS * DIS # B2: 5,9 # E1: 1,2 => CTR => E1: 4,5,6 * INC # B2: 5,9 + E1: 4,5,6 # D3: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 # D1: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 # D3: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 # H3: 7,9 => UNS * INC # B2: 5,9 + E1: 4,5,6 # H3: 1,2 => UNS * DIS # B2: 5,9 + E1: 4,5,6 # G1: 1,2 => CTR => G1: 7,9 * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # I1: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # H3: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # G5: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # G7: 1,2 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # G6: 1,8 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # G6: 5,7 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # D5: 4,8 => UNS * INC # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # F5: 4,8 => UNS * PRF # B2: 5,9 + E1: 4,5,6 + G1: 7,9 # F5: 4,5 => SOL * STA # B2: 5,9 + E1: 4,5,6 + G1: 7,9 + F5: 4,5 * CNT 41 HDP CHAINS / 42 HYP OPENED