Analysis of xx-ph-00016800-Kz1_b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...4......3..9.2.4...8.9...7.5.......9..4..2..6..12.....4....3.......1. initial
Autosolve
position: 98.7..6..5...4......3..9.2.4...8.9...7.59......9..4..2..6..12.....4....3.......1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C1,C9: 4..:
* DIS # C9: 4 # C2: 1,2 => CTR => C2: 7 * DIS # C9: 4 + C2: 7 # C8: 1,2 => CTR => C8: 5,8 * DIS # C9: 4 + C2: 7 + C8: 5,8 # D3: 1,6 => CTR => D3: 8 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 # E3: 1,6 => CTR => E3: 5 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 3 => CTR => E1: 1,2 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 # C4: 1,2 => CTR => C4: 5 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 + C4: 5 => CTR => C9: 2,5,7,8 * STA C9: 2,5,7,8 * CNT 7 HDP CHAINS / 46 HYP OPENED
List of important HDP chains detected for C1,B3: 4..:
* DIS # B3: 4 # C2: 1,2 => CTR => C2: 7 * DIS # B3: 4 + C2: 7 # C8: 1,2 => CTR => C8: 5,8 * DIS # B3: 4 + C2: 7 + C8: 5,8 # D3: 1,6 => CTR => D3: 8 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 # E3: 1,6 => CTR => E3: 5 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 3 => CTR => E1: 1,2 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 # C4: 1,2 => CTR => C4: 5 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 + C4: 5 => CTR => B3: 1,6 * STA B3: 1,6 * CNT 7 HDP CHAINS / 46 HYP OPENED
List of important HDP chains detected for C2,A3: 7..:
* DIS # A3: 7 # C1: 1,2 => CTR => C1: 4 * DIS # A3: 7 + C1: 4 # C8: 1,2 => CTR => C8: 5,7,8 * DIS # A3: 7 + C1: 4 + C8: 5,7,8 # A5: 3,8 => CTR => A5: 1,2,6 * PRF # A3: 7 + C1: 4 + C8: 5,7,8 + A5: 1,2,6 # A6: 3,8 => SOL * STA # A3: 7 + C1: 4 + C8: 5,7,8 + A5: 1,2,6 + A6: 3,8 * CNT 4 HDP CHAINS / 18 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
| 98.7..6..5...4......3..9.2.4...8.9...7.5.......9..4..2..6..12.....4....3.......1. | initial |
| 98.7..6..5...4......3..9.2.4...8.9...7.59......9..4..2..6..12.....4....3.......1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,B3: 4.. / C1 = 4 => 3 pairs (_) / B3 = 4 => 1 pairs (_) C1,C9: 4.. / C1 = 4 => 3 pairs (_) / C9 = 4 => 1 pairs (_) H8,I9: 6.. / H8 = 6 => 0 pairs (_) / I9 = 6 => 0 pairs (_) C2,A3: 7.. / C2 = 7 => 1 pairs (_) / A3 = 7 => 2 pairs (_) F4,E6: 7.. / F4 = 7 => 0 pairs (_) / E6 = 7 => 2 pairs (_) H2,I2: 9.. / H2 = 9 => 0 pairs (_) / I2 = 9 => 0 pairs (_) D7,D9: 9.. / D7 = 9 => 2 pairs (_) / D9 = 9 => 1 pairs (_) B8,H8: 9.. / B8 = 9 => 0 pairs (_) / H8 = 9 => 0 pairs (_) * DURATION: 0:00:05.985753 START: 02:40:54.385618 END: 02:41:00.371371 2020-12-05 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,C9: 4.. / C1 = 4 ==> 3 pairs (_) / C9 = 4 ==> 0 pairs (X) C1,B3: 4.. / C1 = 4 ==> 3 pairs (_) / B3 = 4 ==> 0 pairs (X) D7,D9: 9.. / D7 = 9 ==> 2 pairs (_) / D9 = 9 ==> 1 pairs (_) C2,A3: 7.. / C2 = 7 => 0 pairs (X) / A3 = 7 ==> 0 pairs (*) * DURATION: 0:01:13.685614 START: 02:41:00.371998 END: 02:42:14.057612 2020-12-05 * REASONING C1,C9: 4.. * DIS # C9: 4 # C2: 1,2 => CTR => C2: 7 * DIS # C9: 4 + C2: 7 # C8: 1,2 => CTR => C8: 5,8 * DIS # C9: 4 + C2: 7 + C8: 5,8 # D3: 1,6 => CTR => D3: 8 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 # E3: 1,6 => CTR => E3: 5 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 3 => CTR => E1: 1,2 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 # C4: 1,2 => CTR => C4: 5 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 + C4: 5 => CTR => C9: 2,5,7,8 * STA C9: 2,5,7,8 * CNT 7 HDP CHAINS / 46 HYP OPENED * REASONING C1,B3: 4.. * DIS # B3: 4 # C2: 1,2 => CTR => C2: 7 * DIS # B3: 4 + C2: 7 # C8: 1,2 => CTR => C8: 5,8 * DIS # B3: 4 + C2: 7 + C8: 5,8 # D3: 1,6 => CTR => D3: 8 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 # E3: 1,6 => CTR => E3: 5 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 3 => CTR => E1: 1,2 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 # C4: 1,2 => CTR => C4: 5 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 + C4: 5 => CTR => B3: 1,6 * STA B3: 1,6 * CNT 7 HDP CHAINS / 46 HYP OPENED * REASONING C2,A3: 7.. * DIS # A3: 7 # C1: 1,2 => CTR => C1: 4 * DIS # A3: 7 + C1: 4 # C8: 1,2 => CTR => C8: 5,7,8 * DIS # A3: 7 + C1: 4 + C8: 5,7,8 # A5: 3,8 => CTR => A5: 1,2,6 * PRF # A3: 7 + C1: 4 + C8: 5,7,8 + A5: 1,2,6 # A6: 3,8 => SOL * STA # A3: 7 + C1: 4 + C8: 5,7,8 + A5: 1,2,6 + A6: 3,8 * CNT 4 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
16800;Kz1 b;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,C9: 4..:
* INC # C1: 4 # B2: 1,6 => UNS * INC # C1: 4 # A3: 1,6 => UNS * INC # C1: 4 # D3: 1,6 => UNS * INC # C1: 4 # E3: 1,6 => UNS * INC # C1: 4 # B4: 1,6 => UNS * INC # C1: 4 # B6: 1,6 => UNS * INC # C1: 4 # E1: 3,5 => UNS * INC # C1: 4 # F1: 3,5 => UNS * INC # C1: 4 # H4: 3,5 => UNS * INC # C1: 4 # H6: 3,5 => UNS * INC # C1: 4 # G3: 1,5 => UNS * INC # C1: 4 # I3: 1,5 => UNS * INC # C1: 4 # E1: 1,5 => UNS * INC # C1: 4 # E1: 2,3 => UNS * INC # C1: 4 # I4: 1,5 => UNS * INC # C1: 4 # I4: 6,7 => UNS * INC # C1: 4 => UNS * INC # C9: 4 # B2: 1,2 => UNS * DIS # C9: 4 # C2: 1,2 => CTR => C2: 7 * INC # C9: 4 + C2: 7 # B2: 1,2 => UNS * INC # C9: 4 + C2: 7 # B2: 6 => UNS * INC # C9: 4 + C2: 7 # E1: 1,2 => UNS * INC # C9: 4 + C2: 7 # E1: 3,5 => UNS * INC # C9: 4 + C2: 7 # C4: 1,2 => UNS * INC # C9: 4 + C2: 7 # C5: 1,2 => UNS * DIS # C9: 4 + C2: 7 # C8: 1,2 => CTR => C8: 5,8 * INC # C9: 4 + C2: 7 + C8: 5,8 # B2: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # B2: 6 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # E1: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # E1: 3,5 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # C4: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # C5: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # B2: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # B2: 6 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # E1: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # E1: 3,5 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # C4: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # C5: 1,2 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # B2: 1,6 => UNS * INC # C9: 4 + C2: 7 + C8: 5,8 # B2: 2 => UNS * DIS # C9: 4 + C2: 7 + C8: 5,8 # D3: 1,6 => CTR => D3: 8 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 # E3: 1,6 => CTR => E3: 5 * INC # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 1,2 => UNS * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 3 => CTR => E1: 1,2 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 # C4: 1,2 => CTR => C4: 5 * DIS # C9: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 + C4: 5 => CTR => C9: 2,5,7,8 * STA C9: 2,5,7,8 * CNT 46 HDP CHAINS / 46 HYP OPENED
Full list of HDP chains traversed for C1,B3: 4..:
* INC # C1: 4 # B2: 1,6 => UNS * INC # C1: 4 # A3: 1,6 => UNS * INC # C1: 4 # D3: 1,6 => UNS * INC # C1: 4 # E3: 1,6 => UNS * INC # C1: 4 # B4: 1,6 => UNS * INC # C1: 4 # B6: 1,6 => UNS * INC # C1: 4 # E1: 3,5 => UNS * INC # C1: 4 # F1: 3,5 => UNS * INC # C1: 4 # H4: 3,5 => UNS * INC # C1: 4 # H6: 3,5 => UNS * INC # C1: 4 # G3: 1,5 => UNS * INC # C1: 4 # I3: 1,5 => UNS * INC # C1: 4 # E1: 1,5 => UNS * INC # C1: 4 # E1: 2,3 => UNS * INC # C1: 4 # I4: 1,5 => UNS * INC # C1: 4 # I4: 6,7 => UNS * INC # C1: 4 => UNS * INC # B3: 4 # B2: 1,2 => UNS * DIS # B3: 4 # C2: 1,2 => CTR => C2: 7 * INC # B3: 4 + C2: 7 # B2: 1,2 => UNS * INC # B3: 4 + C2: 7 # B2: 6 => UNS * INC # B3: 4 + C2: 7 # E1: 1,2 => UNS * INC # B3: 4 + C2: 7 # E1: 3,5 => UNS * INC # B3: 4 + C2: 7 # C4: 1,2 => UNS * INC # B3: 4 + C2: 7 # C5: 1,2 => UNS * DIS # B3: 4 + C2: 7 # C8: 1,2 => CTR => C8: 5,8 * INC # B3: 4 + C2: 7 + C8: 5,8 # B2: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # B2: 6 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # E1: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # E1: 3,5 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # C4: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # C5: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # B2: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # B2: 6 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # E1: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # E1: 3,5 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # C4: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # C5: 1,2 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # B2: 1,6 => UNS * INC # B3: 4 + C2: 7 + C8: 5,8 # B2: 2 => UNS * DIS # B3: 4 + C2: 7 + C8: 5,8 # D3: 1,6 => CTR => D3: 8 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 # E3: 1,6 => CTR => E3: 5 * INC # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 1,2 => UNS * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 # E1: 3 => CTR => E1: 1,2 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 # C4: 1,2 => CTR => C4: 5 * DIS # B3: 4 + C2: 7 + C8: 5,8 + D3: 8 + E3: 5 + E1: 1,2 + C4: 5 => CTR => B3: 1,6 * STA B3: 1,6 * CNT 46 HDP CHAINS / 46 HYP OPENED
Full list of HDP chains traversed for D7,D9: 9..:
* INC # D7: 9 => UNS * INC # D9: 9 # F9: 3,8 => UNS * INC # D9: 9 # F9: 2,5,6,7 => UNS * INC # D9: 9 # A7: 3,8 => UNS * INC # D9: 9 # A7: 7 => UNS * INC # D9: 9 # D2: 3,8 => UNS * INC # D9: 9 # D2: 1,2,6 => UNS * INC # D9: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C2,A3: 7..:
* DIS # A3: 7 # C1: 1,2 => CTR => C1: 4 * INC # A3: 7 + C1: 4 # B2: 1,2 => UNS * INC # A3: 7 + C1: 4 # B2: 1,2 => UNS * INC # A3: 7 + C1: 4 # B2: 6 => UNS * INC # A3: 7 + C1: 4 # C4: 1,2 => UNS * INC # A3: 7 + C1: 4 # C5: 1,2 => UNS * DIS # A3: 7 + C1: 4 # C8: 1,2 => CTR => C8: 5,7,8 * INC # A3: 7 + C1: 4 + C8: 5,7,8 # B2: 1,2 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # B2: 6 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # C4: 1,2 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # C5: 1,2 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # A9: 3,8 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # A9: 2 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # D7: 3,8 => UNS * INC # A3: 7 + C1: 4 + C8: 5,7,8 # D7: 9 => UNS * DIS # A3: 7 + C1: 4 + C8: 5,7,8 # A5: 3,8 => CTR => A5: 1,2,6 * PRF # A3: 7 + C1: 4 + C8: 5,7,8 + A5: 1,2,6 # A6: 3,8 => SOL * STA # A3: 7 + C1: 4 + C8: 5,7,8 + A5: 1,2,6 + A6: 3,8 * CNT 17 HDP CHAINS / 18 HYP OPENED