Analysis of xx-ph-00930029-13_05-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5..49......7..8.9.7..3..9...9...5.7...2.....12....7.5....1....6....4.3.. initial
Autosolve
position: 98.7..6..5..49......7..8.9.7..3..9...9...5.7...2.7...12....7.5....1....6....4.3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for G3,G6: 5..:
* DIS # G3: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # G3: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * DIS # G3: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * DIS # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => G3: 1,2,4 * STA G3: 1,2,4 * CNT 5 HDP CHAINS / 17 HYP OPENED
List of important HDP chains detected for B6,G6: 5..:
* DIS # B6: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # B6: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * DIS # B6: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * DIS # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => B6: 3,4,6 * STA B6: 3,4,6 * CNT 5 HDP CHAINS / 17 HYP OPENED
List of important HDP chains detected for I4,G6: 5..:
* DIS # I4: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # I4: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * DIS # I4: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * DIS # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => I4: 2,4,8 * STA I4: 2,4,8 * CNT 5 HDP CHAINS / 17 HYP OPENED
List of important HDP chains detected for D6,F6: 9..:
* DIS # F6: 9 # E8: 2,3 => CTR => E8: 5,8 * PRF # F6: 9 + E8: 5,8 # D9: 2,6 => SOL * STA # F6: 9 + E8: 5,8 + D9: 2,6 * CNT 2 HDP CHAINS / 12 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..49......7..8.9.7..3..9...9...5.7...2.....12....7.5....1....6....4.3.. | initial |
| 98.7..6..5..49......7..8.9.7..3..9...9...5.7...2.7...12....7.5....1....6....4.3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,H9: 1.. / G7 = 1 => 1 pairs (_) / H9 = 1 => 2 pairs (_) B2,B3: 2.. / B2 = 2 => 0 pairs (_) / B3 = 2 => 1 pairs (_) I5,H6: 3.. / I5 = 3 => 0 pairs (_) / H6 = 3 => 0 pairs (_) F4,F6: 4.. / F4 = 4 => 1 pairs (_) / F6 = 4 => 2 pairs (_) I4,G6: 5.. / I4 = 5 => 5 pairs (_) / G6 = 5 => 0 pairs (_) E8,D9: 5.. / E8 = 5 => 0 pairs (_) / D9 = 5 => 1 pairs (_) E1,I1: 5.. / E1 = 5 => 1 pairs (_) / I1 = 5 => 0 pairs (_) B6,G6: 5.. / B6 = 5 => 5 pairs (_) / G6 = 5 => 0 pairs (_) D3,D9: 5.. / D3 = 5 => 0 pairs (_) / D9 = 5 => 1 pairs (_) G3,G6: 5.. / G3 = 5 => 5 pairs (_) / G6 = 5 => 0 pairs (_) H4,H6: 6.. / H4 = 6 => 0 pairs (_) / H6 = 6 => 2 pairs (_) G2,I2: 7.. / G2 = 7 => 1 pairs (_) / I2 = 7 => 0 pairs (_) B8,B9: 7.. / B8 = 7 => 1 pairs (_) / B9 = 7 => 0 pairs (_) G8,I9: 7.. / G8 = 7 => 0 pairs (_) / I9 = 7 => 1 pairs (_) B8,G8: 7.. / B8 = 7 => 1 pairs (_) / G8 = 7 => 0 pairs (_) B9,I9: 7.. / B9 = 7 => 0 pairs (_) / I9 = 7 => 1 pairs (_) G2,G8: 7.. / G2 = 7 => 1 pairs (_) / G8 = 7 => 0 pairs (_) I2,I9: 7.. / I2 = 7 => 0 pairs (_) / I9 = 7 => 1 pairs (_) D6,F6: 9.. / D6 = 9 => 2 pairs (_) / F6 = 9 => 3 pairs (_) I7,I9: 9.. / I7 = 9 => 1 pairs (_) / I9 = 9 => 2 pairs (_) C8,F8: 9.. / C8 = 9 => 1 pairs (_) / F8 = 9 => 3 pairs (_) * DURATION: 0:00:13.607444 START: 08:21:26.203077 END: 08:21:39.810521 2021-01-02 * CP COUNT: (21) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G3,G6: 5.. / G3 = 5 ==> 0 pairs (X) / G6 = 5 => 0 pairs (_) B6,G6: 5.. / B6 = 5 ==> 0 pairs (X) / G6 = 5 => 0 pairs (_) I4,G6: 5.. / I4 = 5 ==> 0 pairs (X) / G6 = 5 => 0 pairs (_) D6,F6: 9.. / D6 = 9 => 0 pairs (X) / F6 = 9 ==> 0 pairs (*) * DURATION: 0:00:55.603434 START: 08:21:39.811095 END: 08:22:35.414529 2021-01-02 * REASONING G3,G6: 5.. * DIS # G3: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # G3: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * DIS # G3: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * DIS # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => G3: 1,2,4 * STA G3: 1,2,4 * CNT 5 HDP CHAINS / 17 HYP OPENED * REASONING B6,G6: 5.. * DIS # B6: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # B6: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * DIS # B6: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * DIS # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => B6: 3,4,6 * STA B6: 3,4,6 * CNT 5 HDP CHAINS / 17 HYP OPENED * REASONING I4,G6: 5.. * DIS # I4: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # I4: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * DIS # I4: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * DIS # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => I4: 2,4,8 * STA I4: 2,4,8 * CNT 5 HDP CHAINS / 17 HYP OPENED * REASONING D6,F6: 9.. * DIS # F6: 9 # E8: 2,3 => CTR => E8: 5,8 * PRF # F6: 9 + E8: 5,8 # D9: 2,6 => SOL * STA # F6: 9 + E8: 5,8 + D9: 2,6 * CNT 2 HDP CHAINS / 12 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
930029;13_05;GP;25;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G3,G6: 5..:
* INC # G3: 5 # F2: 2,6 => UNS * INC # G3: 5 # E3: 2,6 => UNS * INC # G3: 5 # B3: 2,6 => UNS * INC # G3: 5 # B3: 1,3,4 => UNS * INC # G3: 5 # D5: 2,6 => UNS * INC # G3: 5 # D5: 8 => UNS * DIS # G3: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # G3: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * INC # G3: 5 + F4: 1,2 + E7: 3 # C7: 6,8 => UNS * INC # G3: 5 + F4: 1,2 + E7: 3 # C7: 1,4,9 => UNS * INC # G3: 5 + F4: 1,2 + E7: 3 # D5: 6,8 => UNS * DIS # G3: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * INC # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # C7: 6,8 => UNS * INC # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # C7: 1,4,9 => UNS * DIS # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # G3: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => G3: 1,2,4 * INC G3: 1,2,4 # G6: 5 => UNS * STA G3: 1,2,4 * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for B6,G6: 5..:
* INC # B6: 5 # F2: 2,6 => UNS * INC # B6: 5 # E3: 2,6 => UNS * INC # B6: 5 # B3: 2,6 => UNS * INC # B6: 5 # B3: 1,3,4 => UNS * INC # B6: 5 # D5: 2,6 => UNS * INC # B6: 5 # D5: 8 => UNS * DIS # B6: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # B6: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * INC # B6: 5 + F4: 1,2 + E7: 3 # C7: 6,8 => UNS * INC # B6: 5 + F4: 1,2 + E7: 3 # C7: 1,4,9 => UNS * INC # B6: 5 + F4: 1,2 + E7: 3 # D5: 6,8 => UNS * DIS # B6: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * INC # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # C7: 6,8 => UNS * INC # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # C7: 1,4,9 => UNS * DIS # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # B6: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => B6: 3,4,6 * INC B6: 3,4,6 # G6: 5 => UNS * STA B6: 3,4,6 * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for I4,G6: 5..:
* INC # I4: 5 # F2: 2,6 => UNS * INC # I4: 5 # E3: 2,6 => UNS * INC # I4: 5 # B3: 2,6 => UNS * INC # I4: 5 # B3: 1,3,4 => UNS * INC # I4: 5 # D5: 2,6 => UNS * INC # I4: 5 # D5: 8 => UNS * DIS # I4: 5 # F4: 4,6 => CTR => F4: 1,2 * DIS # I4: 5 + F4: 1,2 # E7: 6,8 => CTR => E7: 3 * INC # I4: 5 + F4: 1,2 + E7: 3 # C7: 6,8 => UNS * INC # I4: 5 + F4: 1,2 + E7: 3 # C7: 1,4,9 => UNS * INC # I4: 5 + F4: 1,2 + E7: 3 # D5: 6,8 => UNS * DIS # I4: 5 + F4: 1,2 + E7: 3 # D5: 2 => CTR => D5: 6,8 * INC # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # C7: 6,8 => UNS * INC # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # C7: 1,4,9 => UNS * DIS # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 # F2: 1,3 => CTR => F2: 6 * DIS # I4: 5 + F4: 1,2 + E7: 3 + D5: 6,8 + F2: 6 => CTR => I4: 2,4,8 * INC I4: 2,4,8 # G6: 5 => UNS * STA I4: 2,4,8 * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for D6,F6: 9..:
* INC # F6: 9 # E4: 6,8 => UNS * INC # F6: 9 # D5: 6,8 => UNS * INC # F6: 9 # E5: 6,8 => UNS * INC # F6: 9 # A6: 6,8 => UNS * INC # F6: 9 # H6: 6,8 => UNS * INC # F6: 9 # D7: 6,8 => UNS * INC # F6: 9 # D9: 6,8 => UNS * DIS # F6: 9 # E8: 2,3 => CTR => E8: 5,8 * INC # F6: 9 + E8: 5,8 # F1: 2,3 => UNS * INC # F6: 9 + E8: 5,8 # F2: 2,3 => UNS * PRF # F6: 9 + E8: 5,8 # D9: 2,6 => SOL * STA # F6: 9 + E8: 5,8 + D9: 2,6 * CNT 11 HDP CHAINS / 12 HYP OPENED