Analysis of xx-ph-00000443-169-base.sdk
Contents
Original Sudoku
level: deep
position: ..34.6....5..8......9..2.4.....7.1..........2...2.3.9...46...2.8.......5.1....4.7 initial
Autosolve
position: ..34.6...45..8......9..2.4.....7.1..........2...2.3.9...46...2.8.......5.1....4.7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C2,G2: 2..:
* DIS # C2: 2 # B8: 6,7 => CTR => B8: 2,3,9 * DIS # C2: 2 + B8: 2,3,9 # A9: 5,6 => CTR => A9: 2,3,9 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 # H1: 1,7 => CTR => H1: 5,8 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 # C5: 5,8 => CTR => C5: 1,7 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 # C6: 5,8 => CTR => C6: 1,7 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 # D2: 1,9 => CTR => D2: 3 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 + D2: 3 => CTR => C2: 1,6,7 * STA C2: 1,6,7 * CNT 7 HDP CHAINS / 20 HYP OPENED
List of important HDP chains detected for G1,G2: 2..:
* DIS # G1: 2 # B8: 6,7 => CTR => B8: 2,3,9 * DIS # G1: 2 + B8: 2,3,9 # A9: 5,6 => CTR => A9: 2,3,9 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 # H1: 1,7 => CTR => H1: 5,8 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 # C5: 5,8 => CTR => C5: 1,7 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 # C6: 5,8 => CTR => C6: 1,7 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 # D2: 1,9 => CTR => D2: 3 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 + D2: 3 => CTR => G1: 5,7,8,9 * STA G1: 5,7,8,9 * CNT 7 HDP CHAINS / 20 HYP OPENED
List of important HDP chains detected for E8,E9: 2..:
* DIS # E8: 2 # C6: 6,7 => CTR => C6: 1,5,8 * CNT 1 HDP CHAINS / 28 HYP OPENED
List of important HDP chains detected for I4,I6: 4..:
* DIS # I6: 4 # B5: 6,7 => CTR => B5: 3,4,9 * CNT 1 HDP CHAINS / 35 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
| ..34.6....5..8......9..2.4.....7.1..........2...2.3.9...46...2.8.......5.1....4.7 | initial |
| ..34.6...45..8......9..2.4.....7.1..........2...2.3.9...46...2.8.......5.1....4.7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I7,H8: 1.. / I7 = 1 => 2 pairs (_) / H8 = 1 => 0 pairs (_) G1,G2: 2.. / G1 = 2 => 4 pairs (_) / G2 = 2 => 0 pairs (_) E8,E9: 2.. / E8 = 2 => 3 pairs (_) / E9 = 2 => 1 pairs (_) C2,G2: 2.. / C2 = 2 => 4 pairs (_) / G2 = 2 => 0 pairs (_) I4,I6: 4.. / I4 = 4 => 1 pairs (_) / I6 = 4 => 1 pairs (_) E8,F8: 4.. / E8 = 4 => 1 pairs (_) / F8 = 4 => 2 pairs (_) E5,E6: 6.. / E5 = 6 => 0 pairs (_) / E6 = 6 => 2 pairs (_) B1,B3: 8.. / B1 = 8 => 2 pairs (_) / B3 = 8 => 1 pairs (_) * DURATION: 0:00:05.161286 START: 18:14:58.588978 END: 18:15:03.750264 2020-10-25 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C2,G2: 2.. / C2 = 2 ==> 0 pairs (X) / G2 = 2 => 0 pairs (_) G1,G2: 2.. / G1 = 2 ==> 0 pairs (X) / G2 = 2 => 0 pairs (_) E8,E9: 2.. / E8 = 2 ==> 3 pairs (_) / E9 = 2 ==> 1 pairs (_) B1,B3: 8.. / B1 = 8 ==> 2 pairs (_) / B3 = 8 ==> 1 pairs (_) E8,F8: 4.. / E8 = 4 ==> 1 pairs (_) / F8 = 4 ==> 2 pairs (_) E5,E6: 6.. / E5 = 6 ==> 0 pairs (_) / E6 = 6 ==> 2 pairs (_) I7,H8: 1.. / I7 = 1 ==> 2 pairs (_) / H8 = 1 ==> 0 pairs (_) I4,I6: 4.. / I4 = 4 ==> 1 pairs (_) / I6 = 4 ==> 1 pairs (_) * DURATION: 0:01:15.636573 START: 18:15:03.750833 END: 18:16:19.387406 2020-10-25 * REASONING C2,G2: 2.. * DIS # C2: 2 # B8: 6,7 => CTR => B8: 2,3,9 * DIS # C2: 2 + B8: 2,3,9 # A9: 5,6 => CTR => A9: 2,3,9 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 # H1: 1,7 => CTR => H1: 5,8 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 # C5: 5,8 => CTR => C5: 1,7 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 # C6: 5,8 => CTR => C6: 1,7 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 # D2: 1,9 => CTR => D2: 3 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 + D2: 3 => CTR => C2: 1,6,7 * STA C2: 1,6,7 * CNT 7 HDP CHAINS / 20 HYP OPENED * REASONING G1,G2: 2.. * DIS # G1: 2 # B8: 6,7 => CTR => B8: 2,3,9 * DIS # G1: 2 + B8: 2,3,9 # A9: 5,6 => CTR => A9: 2,3,9 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 # H1: 1,7 => CTR => H1: 5,8 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 # C5: 5,8 => CTR => C5: 1,7 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 # C6: 5,8 => CTR => C6: 1,7 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 # D2: 1,9 => CTR => D2: 3 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 + D2: 3 => CTR => G1: 5,7,8,9 * STA G1: 5,7,8,9 * CNT 7 HDP CHAINS / 20 HYP OPENED * REASONING E8,E9: 2.. * DIS # E8: 2 # C6: 6,7 => CTR => C6: 1,5,8 * CNT 1 HDP CHAINS / 28 HYP OPENED * REASONING I4,I6: 4.. * DIS # I6: 4 # B5: 6,7 => CTR => B5: 3,4,9 * CNT 1 HDP CHAINS / 35 HYP OPENED * DCP COUNT: (8) * CLUE FOUND
Header Info
443;169;elev;22;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C2,G2: 2..:
* INC # C2: 2 # A3: 1,7 => UNS * INC # C2: 2 # A3: 6 => UNS * INC # C2: 2 # H1: 1,7 => UNS * INC # C2: 2 # H1: 5,8 => UNS * INC # C2: 2 # B3: 7,8 => UNS * INC # C2: 2 # B3: 6 => UNS * INC # C2: 2 # H1: 7,8 => UNS * INC # C2: 2 # H1: 1,5 => UNS * DIS # C2: 2 # B8: 6,7 => CTR => B8: 2,3,9 * INC # C2: 2 + B8: 2,3,9 # C5: 6,7 => UNS * INC # C2: 2 + B8: 2,3,9 # C6: 6,7 => UNS * DIS # C2: 2 + B8: 2,3,9 # A9: 5,6 => CTR => A9: 2,3,9 * INC # C2: 2 + B8: 2,3,9 + A9: 2,3,9 # A3: 1,7 => UNS * INC # C2: 2 + B8: 2,3,9 + A9: 2,3,9 # A3: 6 => UNS * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 # H1: 1,7 => CTR => H1: 5,8 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 # C5: 5,8 => CTR => C5: 1,7 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 # C6: 5,8 => CTR => C6: 1,7 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 # D2: 1,9 => CTR => D2: 3 * DIS # C2: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 + D2: 3 => CTR => C2: 1,6,7 * INC C2: 1,6,7 # G2: 2 => UNS * STA C2: 1,6,7 * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for G1,G2: 2..:
* INC # G1: 2 # A3: 1,7 => UNS * INC # G1: 2 # A3: 6 => UNS * INC # G1: 2 # H1: 1,7 => UNS * INC # G1: 2 # H1: 5,8 => UNS * INC # G1: 2 # B3: 7,8 => UNS * INC # G1: 2 # B3: 6 => UNS * INC # G1: 2 # H1: 7,8 => UNS * INC # G1: 2 # H1: 1,5 => UNS * DIS # G1: 2 # B8: 6,7 => CTR => B8: 2,3,9 * INC # G1: 2 + B8: 2,3,9 # C5: 6,7 => UNS * INC # G1: 2 + B8: 2,3,9 # C6: 6,7 => UNS * DIS # G1: 2 + B8: 2,3,9 # A9: 5,6 => CTR => A9: 2,3,9 * INC # G1: 2 + B8: 2,3,9 + A9: 2,3,9 # A3: 1,7 => UNS * INC # G1: 2 + B8: 2,3,9 + A9: 2,3,9 # A3: 6 => UNS * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 # H1: 1,7 => CTR => H1: 5,8 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 # C5: 5,8 => CTR => C5: 1,7 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 # C6: 5,8 => CTR => C6: 1,7 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 # D2: 1,9 => CTR => D2: 3 * DIS # G1: 2 + B8: 2,3,9 + A9: 2,3,9 + H1: 5,8 + C5: 1,7 + C6: 1,7 + D2: 3 => CTR => G1: 5,7,8,9 * INC G1: 5,7,8,9 # G2: 2 => UNS * STA G1: 5,7,8,9 * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for E8,E9: 2..:
* INC # E8: 2 # B5: 4,6 => UNS * INC # E8: 2 # B5: 3,7,9 => UNS * INC # E8: 2 # B6: 4,6 => UNS * INC # E8: 2 # I6: 4,6 => UNS * INC # E8: 2 # B8: 6,7 => UNS * INC # E8: 2 # B8: 3,9 => UNS * INC # E8: 2 # C2: 6,7 => UNS * INC # E8: 2 # C5: 6,7 => UNS * DIS # E8: 2 # C6: 6,7 => CTR => C6: 1,5,8 * INC # E8: 2 + C6: 1,5,8 # B8: 6,7 => UNS * INC # E8: 2 + C6: 1,5,8 # B8: 3,9 => UNS * INC # E8: 2 + C6: 1,5,8 # C2: 6,7 => UNS * INC # E8: 2 + C6: 1,5,8 # C5: 6,7 => UNS * INC # E8: 2 + C6: 1,5,8 # B5: 4,6 => UNS * INC # E8: 2 + C6: 1,5,8 # B5: 3,7,9 => UNS * INC # E8: 2 + C6: 1,5,8 # B6: 4,6 => UNS * INC # E8: 2 + C6: 1,5,8 # I6: 4,6 => UNS * INC # E8: 2 + C6: 1,5,8 # B8: 6,7 => UNS * INC # E8: 2 + C6: 1,5,8 # B8: 3,9 => UNS * INC # E8: 2 + C6: 1,5,8 # C2: 6,7 => UNS * INC # E8: 2 + C6: 1,5,8 # C5: 6,7 => UNS * INC # E8: 2 + C6: 1,5,8 => UNS * INC # E9: 2 # A9: 5,6 => UNS * INC # E9: 2 # A9: 3,9 => UNS * INC # E9: 2 # C4: 5,6 => UNS * INC # E9: 2 # C5: 5,6 => UNS * INC # E9: 2 # C6: 5,6 => UNS * INC # E9: 2 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for B1,B3: 8..:
* INC # B1: 8 # C2: 6,7 => UNS * INC # B1: 8 # A3: 6,7 => UNS * INC # B1: 8 # G3: 6,7 => UNS * INC # B1: 8 # G3: 3,5,8 => UNS * INC # B1: 8 # B5: 6,7 => UNS * INC # B1: 8 # B6: 6,7 => UNS * INC # B1: 8 # B8: 6,7 => UNS * INC # B1: 8 # I2: 1,9 => UNS * INC # B1: 8 # I2: 3,6 => UNS * INC # B1: 8 # E1: 1,9 => UNS * INC # B1: 8 # E1: 5 => UNS * INC # B1: 8 # I7: 1,9 => UNS * INC # B1: 8 # I7: 3,8 => UNS * INC # B1: 8 => UNS * INC # B3: 8 # A1: 2,7 => UNS * INC # B3: 8 # C2: 2,7 => UNS * INC # B3: 8 # G1: 2,7 => UNS * INC # B3: 8 # G1: 5,8,9 => UNS * INC # B3: 8 # B8: 2,7 => UNS * INC # B3: 8 # B8: 3,6,9 => UNS * INC # B3: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for E8,F8: 4..:
* INC # F8: 4 # B5: 4,6 => UNS * INC # F8: 4 # B5: 3,7,9 => UNS * INC # F8: 4 # B6: 4,6 => UNS * INC # F8: 4 # I6: 4,6 => UNS * INC # F8: 4 => UNS * INC # E8: 4 # A9: 5,6 => UNS * INC # E8: 4 # A9: 3,9 => UNS * INC # E8: 4 # C4: 5,6 => UNS * INC # E8: 4 # C5: 5,6 => UNS * INC # E8: 4 # C6: 5,6 => UNS * INC # E8: 4 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for E5,E6: 6..:
* INC # E6: 6 # B5: 4,7 => UNS * INC # E6: 6 # B5: 3,6,9 => UNS * INC # E6: 6 # I4: 4,8 => UNS * INC # E6: 6 # I4: 3,6 => UNS * INC # E6: 6 => UNS * INC # E5: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I7,H8: 1..:
* INC # I7: 1 # G8: 3,6 => UNS * INC # I7: 1 # H9: 3,6 => UNS * INC # I7: 1 # B8: 3,6 => UNS * INC # I7: 1 # B8: 2,7,9 => UNS * INC # I7: 1 # H2: 3,6 => UNS * INC # I7: 1 # H4: 3,6 => UNS * INC # I7: 1 # H5: 3,6 => UNS * INC # I7: 1 => UNS * INC # H8: 1 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I4,I6: 4..:
* INC # I4: 4 # H4: 6,8 => UNS * INC # I4: 4 # G5: 6,8 => UNS * INC # I4: 4 # H5: 6,8 => UNS * INC # I4: 4 # G6: 6,8 => UNS * INC # I4: 4 # C6: 6,8 => UNS * INC # I4: 4 # C6: 1,5,7 => UNS * INC # I4: 4 # I3: 6,8 => UNS * INC # I4: 4 # I3: 1,3 => UNS * INC # I4: 4 => UNS * INC # I6: 4 # A5: 6,7 => UNS * DIS # I6: 4 # B5: 6,7 => CTR => B5: 3,4,9 * INC # I6: 4 + B5: 3,4,9 # C5: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # A6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # C6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # G6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # G6: 5,8 => UNS * INC # I6: 4 + B5: 3,4,9 # B3: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # B8: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # A5: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # C5: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # A6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # C6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # G6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # G6: 5,8 => UNS * INC # I6: 4 + B5: 3,4,9 # B3: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # B8: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # A5: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # C5: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # A6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # C6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # G6: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # G6: 5,8 => UNS * INC # I6: 4 + B5: 3,4,9 # B3: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 # B8: 6,7 => UNS * INC # I6: 4 + B5: 3,4,9 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED