Analysis of xx-ph-00540185-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ..............1.23..2...451..3..52...6..7....8..9.......5..41...9..6....7...5..8. initial
Autosolve
position: ..............1.23..2...451..3..52...6..7....8..9.......5..41...9..6....7...5..8. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for C5,H5: 1..:
* DIS # C5: 1 # A1: 3,6 => CTR => A1: 1,4,5 * DIS # C5: 1 + A1: 1,4,5 # C2: 4,8 => CTR => C2: 6,7,9 * DIS # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B1: 4,7 => CTR => B1: 1,3,5,8 * CNT 3 HDP CHAINS / 74 HYP OPENED
List of important HDP chains detected for E7,F9: 9..:
* DIS # E7: 9 # D1: 4,8 => CTR => D1: 2,3,5,6,7 * DIS # E7: 9 + D1: 2,3,5,6,7 # E1: 4,8 => CTR => E1: 2,3 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 # D2: 4,8 => CTR => D2: 5,6,7 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 # F3: 3,8 => CTR => F3: 6,7,9 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # F8: 2,3 => CTR => F8: 7,8 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 # F1: 2,3 => CTR => F1: 6,7,8,9 * PRF # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 # F6: 2,3 => SOL * STA # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 + F6: 2,3 * CNT 7 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| ..............1.23..2...451..3..52...6..7....8..9.......5..41...9..6....7...5..8. | initial |
| ..............1.23..2...451..3..52...6..7....8..9.......5..41...9..6....7...5..8. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) A5: 2,5 B6: 2,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E4,E6: 1.. / E4 = 1 => 6 pairs (_) / E6 = 1 => 4 pairs (_) D8,D9: 1.. / D8 = 1 => 4 pairs (_) / D9 = 1 => 3 pairs (_) C5,H5: 1.. / C5 = 1 => 8 pairs (_) / H5 = 1 => 3 pairs (_) A5,B6: 2.. / A5 = 2 => 2 pairs (_) / B6 = 2 => 2 pairs (_) D1,D2: 5.. / D1 = 5 => 2 pairs (_) / D2 = 5 => 2 pairs (_) A5,B6: 5.. / A5 = 5 => 2 pairs (_) / B6 = 5 => 2 pairs (_) G8,I8: 5.. / G8 = 5 => 2 pairs (_) / I8 = 5 => 3 pairs (_) D4,F6: 6.. / D4 = 6 => 3 pairs (_) / F6 = 6 => 3 pairs (_) A7,C9: 6.. / A7 = 6 => 4 pairs (_) / C9 = 6 => 4 pairs (_) B4,C6: 7.. / B4 = 7 => 4 pairs (_) / C6 = 7 => 3 pairs (_) B7,C8: 8.. / B7 = 8 => 5 pairs (_) / C8 = 8 => 3 pairs (_) A4,C5: 9.. / A4 = 9 => 5 pairs (_) / C5 = 9 => 3 pairs (_) E7,F9: 9.. / E7 = 9 => 5 pairs (_) / F9 = 9 => 3 pairs (_) * DURATION: 0:00:13.433586 START: 18:21:09.335297 END: 18:21:22.768883 2020-12-27 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C5,H5: 1.. / C5 = 1 ==> 8 pairs (_) / H5 = 1 ==> 3 pairs (_) E4,E6: 1.. / E4 = 1 ==> 6 pairs (_) / E6 = 1 ==> 4 pairs (_) E7,F9: 9.. / E7 = 9 ==> 0 pairs (*) / F9 = 9 => 0 pairs (X) * DURATION: 0:01:25.332138 START: 18:21:23.799363 END: 18:22:49.131501 2020-12-27 * REASONING C5,H5: 1.. * DIS # C5: 1 # A1: 3,6 => CTR => A1: 1,4,5 * DIS # C5: 1 + A1: 1,4,5 # C2: 4,8 => CTR => C2: 6,7,9 * DIS # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B1: 4,7 => CTR => B1: 1,3,5,8 * CNT 3 HDP CHAINS / 74 HYP OPENED * REASONING E7,F9: 9.. * DIS # E7: 9 # D1: 4,8 => CTR => D1: 2,3,5,6,7 * DIS # E7: 9 + D1: 2,3,5,6,7 # E1: 4,8 => CTR => E1: 2,3 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 # D2: 4,8 => CTR => D2: 5,6,7 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 # F3: 3,8 => CTR => F3: 6,7,9 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # F8: 2,3 => CTR => F8: 7,8 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 # F1: 2,3 => CTR => F1: 6,7,8,9 * PRF # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 # F6: 2,3 => SOL * STA # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 + F6: 2,3 * CNT 7 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
540185;12_12_03;dob;22;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C5,H5: 1..:
* DIS # C5: 1 # A1: 3,6 => CTR => A1: 1,4,5 * INC # C5: 1 + A1: 1,4,5 # D3: 3,6 => UNS * INC # C5: 1 + A1: 1,4,5 # F3: 3,6 => UNS * INC # C5: 1 + A1: 1,4,5 # A7: 3,6 => UNS * INC # C5: 1 + A1: 1,4,5 # A7: 2 => UNS * INC # C5: 1 + A1: 1,4,5 # D1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 # E1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 # D2: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 # B2: 4,8 => UNS * DIS # C5: 1 + A1: 1,4,5 # C2: 4,8 => CTR => C2: 6,7,9 * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B2: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B2: 5,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # E4: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # E4: 1 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # D1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # E1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # D2: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B2: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B2: 5,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # E4: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # E4: 1 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # H4: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # I4: 4,7 => UNS * DIS # C5: 1 + A1: 1,4,5 + C2: 6,7,9 # B1: 4,7 => CTR => B1: 1,3,5,8 * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 5,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # H4: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I4: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 5,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # H6: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I6: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 6,8,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 6,7,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I9: 4,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I9: 2,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 4,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 7,8,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # D3: 3,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # F3: 3,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # A7: 3,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # A7: 2 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # D1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # E1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # D2: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 5,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # E4: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # E4: 1 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # H4: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I4: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # B2: 5,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # H6: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I6: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 4,7 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 6,8,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 4,8 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 6,7,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I9: 4,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # I9: 2,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 4,6 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 # C1: 7,8,9 => UNS * INC # C5: 1 + A1: 1,4,5 + C2: 6,7,9 + B1: 1,3,5,8 => UNS * INC # H5: 1 # A4: 4,9 => UNS * INC # H5: 1 # A4: 1 => UNS * INC # H5: 1 # I5: 4,9 => UNS * INC # H5: 1 # I5: 5,8 => UNS * INC # H5: 1 # C1: 4,9 => UNS * INC # H5: 1 # C2: 4,9 => UNS * INC # H5: 1 => UNS * CNT 74 HDP CHAINS / 74 HYP OPENED
Full list of HDP chains traversed for E4,E6: 1..:
* INC # E4: 1 # C5: 4,9 => UNS * INC # E4: 1 # C5: 1 => UNS * INC # E4: 1 # H4: 4,9 => UNS * INC # E4: 1 # I4: 4,9 => UNS * INC # E4: 1 # A1: 4,9 => UNS * INC # E4: 1 # A2: 4,9 => UNS * INC # E4: 1 # C6: 4,7 => UNS * INC # E4: 1 # C6: 1 => UNS * INC # E4: 1 # H4: 4,7 => UNS * INC # E4: 1 # I4: 4,7 => UNS * INC # E4: 1 # B1: 4,7 => UNS * INC # E4: 1 # B2: 4,7 => UNS * INC # E4: 1 # C1: 4,8 => UNS * INC # E4: 1 # C2: 4,8 => UNS * INC # E4: 1 # I9: 4,6 => UNS * INC # E4: 1 # I9: 2,9 => UNS * INC # E4: 1 # C1: 4,6 => UNS * INC # E4: 1 # C2: 4,6 => UNS * INC # E4: 1 => UNS * INC # E6: 1 # B4: 4,7 => UNS * INC # E6: 1 # B4: 1 => UNS * INC # E6: 1 # H6: 4,7 => UNS * INC # E6: 1 # I6: 4,7 => UNS * INC # E6: 1 # C1: 4,7 => UNS * INC # E6: 1 # C2: 4,7 => UNS * INC # E6: 1 # D4: 4,8 => UNS * INC # E6: 1 # D5: 4,8 => UNS * INC # E6: 1 # I4: 4,8 => UNS * INC # E6: 1 # I4: 6,7,9 => UNS * INC # E6: 1 # E1: 4,8 => UNS * INC # E6: 1 # E2: 4,8 => UNS * INC # E6: 1 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for E7,F9: 9..:
* DIS # E7: 9 # D1: 4,8 => CTR => D1: 2,3,5,6,7 * DIS # E7: 9 + D1: 2,3,5,6,7 # E1: 4,8 => CTR => E1: 2,3 * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 # D2: 4,8 => CTR => D2: 5,6,7 * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 # F1: 3,8 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 # D3: 3,8 => UNS * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 # F3: 3,8 => CTR => F3: 6,7,9 * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # B3: 3,8 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # B3: 7 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # F1: 3,8 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # D3: 3,8 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # B3: 3,8 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # B3: 7 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # D7: 2,3 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # D8: 2,3 => UNS * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 # F8: 2,3 => CTR => F8: 7,8 * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 # D9: 2,3 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 # B9: 2,3 => UNS * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 # B9: 1,4 => UNS * DIS # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 # F1: 2,3 => CTR => F1: 6,7,8,9 * INC # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 # F5: 2,3 => UNS * PRF # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 # F6: 2,3 => SOL * STA # E7: 9 + D1: 2,3,5,6,7 + E1: 2,3 + D2: 5,6,7 + F3: 6,7,9 + F8: 7,8 + F1: 6,7,8,9 + F6: 2,3 * CNT 21 HDP CHAINS / 22 HYP OPENED