Analysis of xx-tarx0003-base.sdk
Contents
Original Sudoku
level: hard
position: ........7..1..9.8..3.6..5.9.9..25.......6....3..9...4...7....91.2.5..3..8........ initial
Autosolve
position: ........7..1..9.8..3.6..5.9.9..25.......6.9..3..9...4...7....91.2.5..3..8.3.9.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:01:28.921940
The following important HDP chains were detected:
* DIS # H1: 1,2 # H9: 6,7 => CTR => H9: 5 * PRF # H1: 1,2 + H9: 5 # H4: 6 => SOL * STA # H1: 1,2 + H9: 5 + H4: 6 * CNT 2 HDP CHAINS / 81 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........7..1..9.8..3.6..5.9.9..25.......6....3..9...4...7....91.2.5..3..8........ | initial |
| ........7..1..9.8..3.6..5.9.9..25.......6.9..3..9...4...7....91.2.5..3..8.3.9.... | autosolve |
| 945813627671259483238647519194325768782164935356978142567432891429581376813796254 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) H3: 1,2 H8: 6,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B9: 1.. / A8 = 1 => 3 pairs (_) / B9 = 1 => 2 pairs (_) H1,I2: 3.. / H1 = 3 => 2 pairs (_) / I2 = 3 => 3 pairs (_) E1,E2: 5.. / E1 = 5 => 2 pairs (_) / E2 = 5 => 2 pairs (_) A7,B7: 5.. / A7 = 5 => 3 pairs (_) / B7 = 5 => 3 pairs (_) H9,I9: 5.. / H9 = 5 => 2 pairs (_) / I9 = 5 => 2 pairs (_) H5,H9: 5.. / H5 = 5 => 2 pairs (_) / H9 = 5 => 2 pairs (_) G7,I8: 8.. / G7 = 8 => 4 pairs (_) / I8 = 8 => 3 pairs (_) A1,C1: 9.. / A1 = 9 => 2 pairs (_) / C1 = 9 => 3 pairs (_) A8,C8: 9.. / A8 = 9 => 3 pairs (_) / C8 = 9 => 2 pairs (_) A1,A8: 9.. / A1 = 9 => 2 pairs (_) / A8 = 9 => 3 pairs (_) C1,C8: 9.. / C1 = 9 => 3 pairs (_) / C8 = 9 => 2 pairs (_) * DURATION: 0:00:10.094361 START: 21:28:57.389221 END: 21:29:07.483582 2017-04-30 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:01:28.438588 START: 21:29:20.474233 END: 21:30:48.912821 2017-04-30 * SOLUTION FOUND * SAVE PR GRAPH xx-tarx0003-base-pr-002.dot * REASONING * DIS # H1: 1,2 # H9: 6,7 => CTR => H9: 5 * PRF # H1: 1,2 + H9: 5 # H4: 6 => SOL * STA # H1: 1,2 + H9: 5 + H4: 6 * CNT 2 HDP CHAINS / 81 HYP OPENED
Header Info
tarx0003,tarek 6.1 *3BB r6c56 r4c7 r5c2
Solution
position: 945813627671259483238647519194325768782164935356978142567432891429581376813796254 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: 1,2 => UNS * INC # H1: 1,2 => UNS * INC # F3: 1,2 => UNS * INC # F3: 4,7,8 => UNS * INC # H5: 1,2 => UNS * INC # H5: 3,5,7 => UNS * INC # G9: 6,7 => UNS * INC # H9: 6,7 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1,4,8 => UNS * INC # H4: 6,7 => UNS * INC # H4: 1,3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,2 => UNS * INC # H1: 1,2 => UNS * INC # F3: 1,2 => UNS * INC # F3: 4,7,8 => UNS * INC # H5: 1,2 => UNS * INC # H5: 3,5,7 => UNS * INC # G9: 6,7 => UNS * INC # H9: 6,7 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1,4,8 => UNS * INC # H4: 6,7 => UNS * INC # H4: 1,3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,2 => UNS * INC # H1: 1,2 => UNS * INC # F3: 1,2 => UNS * INC # F3: 4,7,8 => UNS * INC # H5: 1,2 => UNS * INC # H5: 3,5,7 => UNS * INC # G9: 6,7 => UNS * INC # H9: 6,7 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1,4,8 => UNS * INC # H4: 6,7 => UNS * INC # H4: 1,3 => UNS * INC # G1: 1,2 # D1: 1,2 => UNS * INC # G1: 1,2 # F1: 1,2 => UNS * INC # G1: 1,2 # G6: 1,2 => UNS * INC # G1: 1,2 # G6: 6,7,8 => UNS * INC # G1: 1,2 # I2: 3,6 => UNS * INC # G1: 1,2 # I2: 4 => UNS * INC # G1: 1,2 # H4: 3,6 => UNS * INC # G1: 1,2 # H4: 1,7 => UNS * INC # G1: 1,2 # I2: 4,6 => UNS * INC # G1: 1,2 # I2: 3 => UNS * INC # G1: 1,2 # G7: 4,6 => UNS * INC # G1: 1,2 # G9: 4,6 => UNS * INC # G1: 1,2 # F3: 1,2 => UNS * INC # G1: 1,2 # F3: 4,7,8 => UNS * INC # G1: 1,2 # H5: 1,2 => UNS * INC # G1: 1,2 # H5: 3,5,7 => UNS * INC # G1: 1,2 # G9: 6,7 => UNS * INC # G1: 1,2 # H9: 6,7 => UNS * INC # G1: 1,2 # F8: 6,7 => UNS * INC # G1: 1,2 # F8: 1,4,8 => UNS * INC # G1: 1,2 # H4: 6,7 => UNS * INC # G1: 1,2 # H4: 1,3 => UNS * INC # G1: 1,2 => UNS * INC # H1: 1,2 # A1: 4,6 => UNS * INC # H1: 1,2 # B1: 4,6 => UNS * INC # H1: 1,2 # C1: 4,6 => UNS * INC # H1: 1,2 # D1: 1,2 => UNS * INC # H1: 1,2 # F1: 1,2 => UNS * INC # H1: 1,2 # A2: 4,6 => UNS * INC # H1: 1,2 # B2: 4,6 => UNS * INC # H1: 1,2 # F3: 1,2 => UNS * INC # H1: 1,2 # F3: 4,7,8 => UNS * INC # H1: 1,2 # I6: 6,8 => UNS * INC # H1: 1,2 # I6: 2,5 => UNS * INC # H1: 1,2 # C4: 6,8 => UNS * INC # H1: 1,2 # C4: 4 => UNS * INC # H1: 1,2 # I8: 6,8 => UNS * INC # H1: 1,2 # I8: 4 => UNS * INC # H1: 1,2 # D7: 2,8 => UNS * INC # H1: 1,2 # F7: 2,8 => UNS * INC # H1: 1,2 # G6: 2,8 => UNS * INC # H1: 1,2 # G6: 1,7 => UNS * DIS # H1: 1,2 # H9: 6,7 => CTR => H9: 5 * INC # H1: 1,2 + H9: 5 # F8: 6,7 => UNS * INC # H1: 1,2 + H9: 5 # F8: 1,4,8 => UNS * INC # H1: 1,2 + H9: 5 # H4: 6,7 => UNS * INC # H1: 1,2 + H9: 5 # H4: 3 => UNS * INC # H1: 1,2 + H9: 5 # D9: 2,7 => UNS * INC # H1: 1,2 + H9: 5 # F9: 2,7 => UNS * INC # H1: 1,2 + H9: 5 # G6: 2,7 => UNS * INC # H1: 1,2 + H9: 5 # G6: 1,8 => UNS * INC # H1: 1,2 + H9: 5 # A1: 4,6 => UNS * INC # H1: 1,2 + H9: 5 # B1: 4,6 => UNS * INC # H1: 1,2 + H9: 5 # C1: 4,6 => UNS * INC # H1: 1,2 + H9: 5 # D1: 1,2 => UNS * INC # H1: 1,2 + H9: 5 # F1: 1,2 => UNS * INC # H1: 1,2 + H9: 5 # A2: 4,6 => UNS * INC # H1: 1,2 + H9: 5 # B2: 4,6 => UNS * INC # H1: 1,2 + H9: 5 # F3: 1,2 => UNS * INC # H1: 1,2 + H9: 5 # F3: 4,7,8 => UNS * INC # H1: 1,2 + H9: 5 # I6: 6,8 => UNS * INC # H1: 1,2 + H9: 5 # I6: 2,5 => UNS * INC # H1: 1,2 + H9: 5 # C4: 6,8 => UNS * INC # H1: 1,2 + H9: 5 # C4: 4 => UNS * INC # H1: 1,2 + H9: 5 # I8: 6,8 => UNS * INC # H1: 1,2 + H9: 5 # I8: 4 => UNS * INC # H1: 1,2 + H9: 5 # H4: 3,7 => UNS * PRF # H1: 1,2 + H9: 5 # H4: 6 => SOL * STA # H1: 1,2 + H9: 5 + H4: 6 * CNT 80 HDP CHAINS / 81 HYP OPENED