Analysis of xx-ph-02237089-2019_01_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 9876..5..4..9..6......8..7.6..5..4.......3..2.........1......5..951....6.64.5.1.. initial
Autosolve
position: 9876..5..4..9..6....6.8..7.6..5..4.......3..2........51......5..951....6.64.5.1.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:46.400545
List of important HDP chains detected for H1,H8: 4..:
* DIS # H1: 4 # E1: 3 # F6: 7,8 => CTR => F6: 1,4,6,9 * PRF # H1: 4 # E1: 3 + F6: 1,4,6,9 # A5: 7,8 => SOL * STA # H1: 4 # E1: 3 + F6: 1,4,6,9 + A5: 7,8 * CNT 2 HDP CHAINS / 49 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 9876..5..4..9..6......8..7.6..5..4.......3..2.........1......5..951....6.64.5.1.. | initial |
| 9876..5..4..9..6....6.8..7.6..5..4.......3..2........51......5..951....6.64.5.1.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B5,B6: 4.. / B5 = 4 => 2 pairs (_) / B6 = 4 => 0 pairs (_) I7,H8: 4.. / I7 = 4 => 3 pairs (_) / H8 = 4 => 0 pairs (_) H1,H8: 4.. / H1 = 4 => 3 pairs (_) / H8 = 4 => 0 pairs (_) F2,F3: 5.. / F2 = 5 => 0 pairs (_) / F3 = 5 => 1 pairs (_) A5,B5: 5.. / A5 = 5 => 1 pairs (_) / B5 = 5 => 1 pairs (_) B2,F2: 5.. / B2 = 5 => 1 pairs (_) / F2 = 5 => 0 pairs (_) A3,A5: 5.. / A3 = 5 => 1 pairs (_) / A5 = 5 => 1 pairs (_) H5,H6: 6.. / H5 = 6 => 0 pairs (_) / H6 = 6 => 0 pairs (_) E7,F7: 6.. / E7 = 6 => 0 pairs (_) / F7 = 6 => 0 pairs (_) E5,H5: 6.. / E5 = 6 => 0 pairs (_) / H5 = 6 => 0 pairs (_) F6,F7: 6.. / F6 = 6 => 0 pairs (_) / F7 = 6 => 0 pairs (_) E2,F2: 7.. / E2 = 7 => 0 pairs (_) / F2 = 7 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 0 pairs (_) G3,I3: 9.. / G3 = 9 => 1 pairs (_) / I3 = 9 => 2 pairs (_) * DURATION: 0:00:09.917300 START: 16:36:11.993563 END: 16:36:21.910863 2020-10-10 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,H8: 4.. / H1 = 4 ==> 3 pairs (_) / H8 = 4 ==> 0 pairs (_) I7,H8: 4.. / I7 = 4 ==> 3 pairs (_) / H8 = 4 ==> 0 pairs (_) G3,I3: 9.. / G3 = 9 ==> 1 pairs (_) / I3 = 9 ==> 2 pairs (_) B5,B6: 4.. / B5 = 4 ==> 2 pairs (_) / B6 = 4 ==> 0 pairs (_) A3,A5: 5.. / A3 = 5 ==> 1 pairs (_) / A5 = 5 ==> 1 pairs (_) A5,B5: 5.. / A5 = 5 ==> 1 pairs (_) / B5 = 5 ==> 1 pairs (_) H2,I2: 8.. / H2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 0 pairs (_) E2,F2: 7.. / E2 = 7 ==> 0 pairs (_) / F2 = 7 ==> 1 pairs (_) B2,F2: 5.. / B2 = 5 ==> 1 pairs (_) / F2 = 5 ==> 0 pairs (_) F2,F3: 5.. / F2 = 5 ==> 0 pairs (_) / F3 = 5 ==> 1 pairs (_) F6,F7: 6.. / F6 = 6 ==> 0 pairs (_) / F7 = 6 ==> 0 pairs (_) E5,H5: 6.. / E5 = 6 ==> 0 pairs (_) / H5 = 6 ==> 0 pairs (_) E7,F7: 6.. / E7 = 6 ==> 0 pairs (_) / F7 = 6 ==> 0 pairs (_) H5,H6: 6.. / H5 = 6 ==> 0 pairs (_) / H6 = 6 ==> 0 pairs (_) * DURATION: 0:01:14.708822 START: 16:36:21.911500 END: 16:37:36.620322 2020-10-10 * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H1,H8: 4.. / H1 = 4 ==> 0 pairs (*) / H8 = 4 => 0 pairs (X) * DURATION: 0:00:46.398241 START: 16:37:36.769973 END: 16:38:23.168214 2020-10-10 * REASONING H1,H8: 4.. * DIS # H1: 4 # E1: 3 # F6: 7,8 => CTR => F6: 1,4,6,9 * PRF # H1: 4 # E1: 3 + F6: 1,4,6,9 # A5: 7,8 => SOL * STA # H1: 4 # E1: 3 + F6: 1,4,6,9 + A5: 7,8 * CNT 2 HDP CHAINS / 49 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
2237089;2019_01_07;PAQ;25;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H8: 4..:
* INC # H1: 4 # E1: 1,2 => UNS * INC # H1: 4 # E1: 3 => UNS * INC # H1: 4 # F4: 1,2 => UNS * INC # H1: 4 # F6: 1,2 => UNS * INC # H1: 4 # H2: 1,3 => UNS * INC # H1: 4 # I2: 1,3 => UNS * INC # H1: 4 # I3: 1,3 => UNS * INC # H1: 4 # E1: 1,3 => UNS * INC # H1: 4 # E1: 2 => UNS * INC # H1: 4 # I4: 1,3 => UNS * INC # H1: 4 # I4: 7,8,9 => UNS * INC # H1: 4 => UNS * INC # H8: 4 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for I7,H8: 4..:
* INC # I7: 4 # E1: 1,2 => UNS * INC # I7: 4 # E1: 3 => UNS * INC # I7: 4 # F4: 1,2 => UNS * INC # I7: 4 # F6: 1,2 => UNS * INC # I7: 4 # H2: 1,3 => UNS * INC # I7: 4 # I2: 1,3 => UNS * INC # I7: 4 # I3: 1,3 => UNS * INC # I7: 4 # E1: 1,3 => UNS * INC # I7: 4 # E1: 2 => UNS * INC # I7: 4 # I4: 1,3 => UNS * INC # I7: 4 # I4: 7,8,9 => UNS * INC # I7: 4 => UNS * INC # H8: 4 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for G3,I3: 9..:
* INC # I3: 9 # E1: 1,2 => UNS * INC # I3: 9 # E2: 1,2 => UNS * INC # I3: 9 # F2: 1,2 => UNS * INC # I3: 9 # F3: 1,2 => UNS * INC # I3: 9 # H1: 1,2 => UNS * INC # I3: 9 # H1: 3,4 => UNS * INC # I3: 9 # F4: 1,2 => UNS * INC # I3: 9 # F6: 1,2 => UNS * INC # I3: 9 # H1: 2,3 => UNS * INC # I3: 9 # H2: 2,3 => UNS * INC # I3: 9 # A3: 2,3 => UNS * INC # I3: 9 # B3: 2,3 => UNS * INC # I3: 9 # D3: 2,3 => UNS * INC # I3: 9 # G7: 2,3 => UNS * INC # I3: 9 # G8: 2,3 => UNS * INC # I3: 9 => UNS * INC # G3: 9 # I4: 7,8 => UNS * INC # G3: 9 # G6: 7,8 => UNS * INC # G3: 9 # A5: 7,8 => UNS * INC # G3: 9 # D5: 7,8 => UNS * INC # G3: 9 # G7: 7,8 => UNS * INC # G3: 9 # G8: 7,8 => UNS * INC # G3: 9 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for B5,B6: 4..:
* INC # B5: 4 # B2: 2,3 => UNS * INC # B5: 4 # C2: 2,3 => UNS * INC # B5: 4 # B3: 2,3 => UNS * INC # B5: 4 # D3: 2,3 => UNS * INC # B5: 4 # G3: 2,3 => UNS * INC # B5: 4 # A6: 2,3 => UNS * INC # B5: 4 # A8: 2,3 => UNS * INC # B5: 4 # A9: 2,3 => UNS * INC # B5: 4 # F4: 7,8 => UNS * INC # B5: 4 # D6: 7,8 => UNS * INC # B5: 4 # F6: 7,8 => UNS * INC # B5: 4 # G5: 7,8 => UNS * INC # B5: 4 # G5: 9 => UNS * INC # B5: 4 # D7: 7,8 => UNS * INC # B5: 4 # D9: 7,8 => UNS * INC # B5: 4 => UNS * INC # B6: 4 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for A3,A5: 5..:
* INC # A3: 5 # A6: 7,8 => UNS * INC # A3: 5 # A6: 2,3 => UNS * INC # A3: 5 # D5: 7,8 => UNS * INC # A3: 5 # G5: 7,8 => UNS * INC # A3: 5 # A8: 7,8 => UNS * INC # A3: 5 # A9: 7,8 => UNS * INC # A3: 5 => UNS * INC # A5: 5 # B2: 2,3 => UNS * INC # A5: 5 # C2: 2,3 => UNS * INC # A5: 5 # B3: 2,3 => UNS * INC # A5: 5 # D3: 2,3 => UNS * INC # A5: 5 # G3: 2,3 => UNS * INC # A5: 5 # A6: 2,3 => UNS * INC # A5: 5 # A8: 2,3 => UNS * INC # A5: 5 # A9: 2,3 => UNS * INC # A5: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A5,B5: 5..:
* INC # A5: 5 # B2: 2,3 => UNS * INC # A5: 5 # C2: 2,3 => UNS * INC # A5: 5 # B3: 2,3 => UNS * INC # A5: 5 # D3: 2,3 => UNS * INC # A5: 5 # G3: 2,3 => UNS * INC # A5: 5 # A6: 2,3 => UNS * INC # A5: 5 # A8: 2,3 => UNS * INC # A5: 5 # A9: 2,3 => UNS * INC # A5: 5 => UNS * INC # B5: 5 # A6: 7,8 => UNS * INC # B5: 5 # A6: 2,3 => UNS * INC # B5: 5 # D5: 7,8 => UNS * INC # B5: 5 # G5: 7,8 => UNS * INC # B5: 5 # A8: 7,8 => UNS * INC # B5: 5 # A9: 7,8 => UNS * INC # B5: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # H2: 8 # H1: 1,3 => UNS * INC # H2: 8 # I1: 1,3 => UNS * INC # H2: 8 # I3: 1,3 => UNS * INC # H2: 8 # B2: 1,3 => UNS * INC # H2: 8 # C2: 1,3 => UNS * INC # H2: 8 # E2: 1,3 => UNS * INC # H2: 8 # I4: 1,3 => UNS * INC # H2: 8 # I4: 7,8,9 => UNS * INC # H2: 8 => UNS * INC # I2: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E2,F2: 7..:
* INC # F2: 7 # C2: 2,3 => UNS * INC # F2: 7 # B3: 2,3 => UNS * INC # F2: 7 # D3: 2,3 => UNS * INC # F2: 7 # G3: 2,3 => UNS * INC # F2: 7 # A6: 2,3 => UNS * INC # F2: 7 # A8: 2,3 => UNS * INC # F2: 7 # A9: 2,3 => UNS * INC # F2: 7 => UNS * INC # E2: 7 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for B2,F2: 5..:
* INC # B2: 5 # C2: 2,3 => UNS * INC # B2: 5 # B3: 2,3 => UNS * INC # B2: 5 # D3: 2,3 => UNS * INC # B2: 5 # G3: 2,3 => UNS * INC # B2: 5 # A6: 2,3 => UNS * INC # B2: 5 # A8: 2,3 => UNS * INC # B2: 5 # A9: 2,3 => UNS * INC # B2: 5 => UNS * INC # F2: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F2,F3: 5..:
* INC # F3: 5 # C2: 2,3 => UNS * INC # F3: 5 # B3: 2,3 => UNS * INC # F3: 5 # D3: 2,3 => UNS * INC # F3: 5 # G3: 2,3 => UNS * INC # F3: 5 # A6: 2,3 => UNS * INC # F3: 5 # A8: 2,3 => UNS * INC # F3: 5 # A9: 2,3 => UNS * INC # F3: 5 => UNS * INC # F2: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F6,F7: 6..:
* INC # F6: 6 => UNS * INC # F7: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E5,H5: 6..:
* INC # E5: 6 => UNS * INC # H5: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E7,F7: 6..:
* INC # E7: 6 => UNS * INC # F7: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H5,H6: 6..:
* INC # H5: 6 => UNS * INC # H6: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H8: 4..:
* INC # H1: 4 # E1: 1,2 => UNS * INC # H1: 4 # E1: 3 => UNS * INC # H1: 4 # F4: 1,2 => UNS * INC # H1: 4 # F6: 1,2 => UNS * INC # H1: 4 # H2: 1,3 => UNS * INC # H1: 4 # I2: 1,3 => UNS * INC # H1: 4 # I3: 1,3 => UNS * INC # H1: 4 # E1: 1,3 => UNS * INC # H1: 4 # E1: 2 => UNS * INC # H1: 4 # I4: 1,3 => UNS * INC # H1: 4 # I4: 7,8,9 => UNS * INC # H1: 4 # E1: 1,2 # E4: 1,2 => UNS * INC # H1: 4 # E1: 1,2 # E6: 1,2 => UNS * INC # H1: 4 # E1: 1,2 # F4: 1,2 => UNS * INC # H1: 4 # E1: 1,2 # F6: 1,2 => UNS * INC # H1: 4 # E1: 1,2 # E7: 3,7 => UNS * INC # H1: 4 # E1: 1,2 # E8: 3,7 => UNS * INC # H1: 4 # E1: 1,2 # H2: 1,8 => UNS * INC # H1: 4 # E1: 1,2 # H2: 2 => UNS * INC # H1: 4 # E1: 1,2 # I4: 1,8 => UNS * INC # H1: 4 # E1: 1,2 # I4: 7,9 => UNS * INC # H1: 4 # E1: 1,2 # G7: 2,9 => UNS * INC # H1: 4 # E1: 1,2 # G7: 3,7,8 => UNS * INC # H1: 4 # E1: 1,2 # I4: 1,9 => UNS * INC # H1: 4 # E1: 1,2 # I4: 7,8 => UNS * INC # H1: 4 # E1: 1,2 => UNS * INC # H1: 4 # E1: 3 # F2: 1,7 => UNS * INC # H1: 4 # E1: 3 # F2: 5 => UNS * INC # H1: 4 # E1: 3 # E4: 1,7 => UNS * INC # H1: 4 # E1: 3 # E5: 1,7 => UNS * INC # H1: 4 # E1: 3 # E6: 1,7 => UNS * INC # H1: 4 # E1: 3 # F2: 1,5 => UNS * INC # H1: 4 # E1: 3 # F2: 7 => UNS * INC # H1: 4 # E1: 3 # B3: 1,5 => UNS * INC # H1: 4 # E1: 3 # B3: 2,3 => UNS * INC # H1: 4 # E1: 3 # H2: 3,8 => UNS * INC # H1: 4 # E1: 3 # H2: 2 => UNS * INC # H1: 4 # E1: 3 # I4: 3,8 => UNS * INC # H1: 4 # E1: 3 # I9: 3,8 => UNS * INC # H1: 4 # E1: 3 # G3: 3,9 => UNS * INC # H1: 4 # E1: 3 # G3: 2 => UNS * INC # H1: 4 # E1: 3 # I4: 3,9 => UNS * INC # H1: 4 # E1: 3 # I9: 3,9 => UNS * INC # H1: 4 # E1: 3 # F4: 7,8 => UNS * INC # H1: 4 # E1: 3 # D6: 7,8 => UNS * DIS # H1: 4 # E1: 3 # F6: 7,8 => CTR => F6: 1,4,6,9 * PRF # H1: 4 # E1: 3 + F6: 1,4,6,9 # A5: 7,8 => SOL * STA # H1: 4 # E1: 3 + F6: 1,4,6,9 + A5: 7,8 * CNT 47 HDP CHAINS / 49 HYP OPENED