Analysis of xx-ph-00001443-L126-base.sdk
Contents
Original Sudoku
level: deep
position: ...4......5...9...7...3..6..9...84..6...2..7...7......3...1...7..1....23...5..8.. initial
Autosolve
position: ...4......5...9...7...3..6..9...84..6...2..7...7......3...1...7..1....23...5.38.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for B9,E9: 7..:
* DIS # E9: 7 # E1: 5 => CTR => E1: 6,8 * DIS # E9: 7 + E1: 6,8 # C2: 6,8 => CTR => C2: 2,3,4 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 # G3: 1,2 => CTR => G3: 9 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 # I3: 1,2 => CTR => I3: 4,8 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 4,8 => CTR => B3: 1,2 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 # F6: 4,6 => CTR => F6: 1 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 + F6: 1 => CTR => E9: 4,6,9 * STA E9: 4,6,9 * CNT 7 HDP CHAINS / 11 HYP OPENED
List of important HDP chains detected for B8,B9: 7..:
* DIS # B8: 7 # E1: 5 => CTR => E1: 6,8 * DIS # B8: 7 + E1: 6,8 # C2: 6,8 => CTR => C2: 2,3,4 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 # G3: 1,2 => CTR => G3: 9 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 # I3: 1,2 => CTR => I3: 4,8 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 4,8 => CTR => B3: 1,2 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 # F6: 4,6 => CTR => F6: 1 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 + F6: 1 => CTR => B8: 4,6,8 * STA B8: 4,6,8 * CNT 7 HDP CHAINS / 11 HYP OPENED
List of important HDP chains detected for D7,F7: 2..:
* PRF # D7: 2 # B7: 4,6 => SOL * STA # D7: 2 + B7: 4,6 * CNT 1 HDP CHAINS / 9 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
| ...4......5...9...7...3..6..9...84..6...2..7...7......3...1...7..1....23...5..8.. | initial |
| ...4......5...9...7...3..6..9...84..6...2..7...7......3...1...7..1....23...5.38.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H9,I9: 1.. / H9 = 1 => 1 pairs (_) / I9 = 1 => 1 pairs (_) D7,F7: 2.. / D7 = 2 => 2 pairs (_) / F7 = 2 => 1 pairs (_) C7,A8: 5.. / C7 = 5 => 3 pairs (_) / A8 = 5 => 2 pairs (_) A8,G8: 5.. / A8 = 5 => 2 pairs (_) / G8 = 5 => 3 pairs (_) G1,G2: 7.. / G1 = 7 => 0 pairs (_) / G2 = 7 => 1 pairs (_) D4,E4: 7.. / D4 = 7 => 1 pairs (_) / E4 = 7 => 1 pairs (_) B8,B9: 7.. / B8 = 7 => 6 pairs (_) / B9 = 7 => 0 pairs (_) B9,E9: 7.. / B9 = 7 => 0 pairs (_) / E9 = 7 => 6 pairs (_) F1,F8: 7.. / F1 = 7 => 2 pairs (_) / F8 = 7 => 0 pairs (_) * DURATION: 0:00:06.544095 START: 10:07:39.927874 END: 10:07:46.471969 2020-11-28 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B9,E9: 7.. / B9 = 7 => 0 pairs (_) / E9 = 7 ==> 0 pairs (X) B8,B9: 7.. / B8 = 7 ==> 0 pairs (X) / B9 = 7 => 0 pairs (_) A8,G8: 5.. / A8 = 5 ==> 2 pairs (_) / G8 = 5 ==> 3 pairs (_) C7,A8: 5.. / C7 = 5 ==> 3 pairs (_) / A8 = 5 ==> 2 pairs (_) D7,F7: 2.. / D7 = 2 ==> 0 pairs (*) / F7 = 2 => 0 pairs (X) * DURATION: 0:00:54.857666 START: 10:07:46.472582 END: 10:08:41.330248 2020-11-28 * REASONING B9,E9: 7.. * DIS # E9: 7 # E1: 5 => CTR => E1: 6,8 * DIS # E9: 7 + E1: 6,8 # C2: 6,8 => CTR => C2: 2,3,4 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 # G3: 1,2 => CTR => G3: 9 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 # I3: 1,2 => CTR => I3: 4,8 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 4,8 => CTR => B3: 1,2 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 # F6: 4,6 => CTR => F6: 1 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 + F6: 1 => CTR => E9: 4,6,9 * STA E9: 4,6,9 * CNT 7 HDP CHAINS / 11 HYP OPENED * REASONING B8,B9: 7.. * DIS # B8: 7 # E1: 5 => CTR => E1: 6,8 * DIS # B8: 7 + E1: 6,8 # C2: 6,8 => CTR => C2: 2,3,4 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 # G3: 1,2 => CTR => G3: 9 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 # I3: 1,2 => CTR => I3: 4,8 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 4,8 => CTR => B3: 1,2 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 # F6: 4,6 => CTR => F6: 1 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 + F6: 1 => CTR => B8: 4,6,8 * STA B8: 4,6,8 * CNT 7 HDP CHAINS / 11 HYP OPENED * REASONING D7,F7: 2.. * PRF # D7: 2 # B7: 4,6 => SOL * STA # D7: 2 + B7: 4,6 * CNT 1 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
1443;L126;elev;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B9,E9: 7..:
* INC # E9: 7 # E1: 6,8 => UNS * DIS # E9: 7 # E1: 5 => CTR => E1: 6,8 * DIS # E9: 7 + E1: 6,8 # C2: 6,8 => CTR => C2: 2,3,4 * INC # E9: 7 + E1: 6,8 + C2: 2,3,4 # B3: 1,2 => UNS * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 # G3: 1,2 => CTR => G3: 9 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 # I3: 1,2 => CTR => I3: 4,8 * INC # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 1,2 => UNS * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 4,8 => CTR => B3: 1,2 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 # F6: 4,6 => CTR => F6: 1 * DIS # E9: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 + F6: 1 => CTR => E9: 4,6,9 * INC E9: 4,6,9 # B9: 7 => UNS * STA E9: 4,6,9 * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for B8,B9: 7..:
* INC # B8: 7 # E1: 6,8 => UNS * DIS # B8: 7 # E1: 5 => CTR => E1: 6,8 * DIS # B8: 7 + E1: 6,8 # C2: 6,8 => CTR => C2: 2,3,4 * INC # B8: 7 + E1: 6,8 + C2: 2,3,4 # B3: 1,2 => UNS * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 # G3: 1,2 => CTR => G3: 9 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 # I3: 1,2 => CTR => I3: 4,8 * INC # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 1,2 => UNS * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 # B3: 4,8 => CTR => B3: 1,2 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 # F6: 4,6 => CTR => F6: 1 * DIS # B8: 7 + E1: 6,8 + C2: 2,3,4 + G3: 9 + I3: 4,8 + B3: 1,2 + F6: 1 => CTR => B8: 4,6,8 * INC B8: 4,6,8 # B9: 7 => UNS * STA B8: 4,6,8 * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for A8,G8: 5..:
* INC # G8: 5 # B6: 2,3 => UNS * INC # G8: 5 # B6: 1,4,8 => UNS * INC # G8: 5 # C1: 2,3 => UNS * INC # G8: 5 # C2: 2,3 => UNS * INC # G8: 5 # I9: 6,9 => UNS * INC # G8: 5 # I9: 1,4 => UNS * INC # G8: 5 # D7: 6,9 => UNS * INC # G8: 5 # D7: 2,8 => UNS * INC # G8: 5 # G6: 6,9 => UNS * INC # G8: 5 # G6: 1,2,3 => UNS * INC # G8: 5 # H9: 4,9 => UNS * INC # G8: 5 # I9: 4,9 => UNS * INC # G8: 5 => UNS * INC # A8: 5 # A6: 1,2 => UNS * INC # A8: 5 # B6: 1,2 => UNS * INC # A8: 5 # I4: 1,2 => UNS * INC # A8: 5 # I4: 5,6 => UNS * INC # A8: 5 # A1: 1,2 => UNS * INC # A8: 5 # A2: 1,2 => UNS * INC # A8: 5 # G7: 6,9 => UNS * INC # A8: 5 # I9: 6,9 => UNS * INC # A8: 5 # D8: 6,9 => UNS * INC # A8: 5 # E8: 6,9 => UNS * INC # A8: 5 # G6: 6,9 => UNS * INC # A8: 5 # G6: 1,2,3,5 => UNS * INC # A8: 5 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for C7,A8: 5..:
* INC # C7: 5 # B6: 2,3 => UNS * INC # C7: 5 # B6: 1,4,8 => UNS * INC # C7: 5 # C1: 2,3 => UNS * INC # C7: 5 # C2: 2,3 => UNS * INC # C7: 5 # I9: 6,9 => UNS * INC # C7: 5 # I9: 1,4 => UNS * INC # C7: 5 # D7: 6,9 => UNS * INC # C7: 5 # D7: 2,8 => UNS * INC # C7: 5 # G6: 6,9 => UNS * INC # C7: 5 # G6: 1,2,3 => UNS * INC # C7: 5 # H9: 4,9 => UNS * INC # C7: 5 # I9: 4,9 => UNS * INC # C7: 5 => UNS * INC # A8: 5 # A6: 1,2 => UNS * INC # A8: 5 # B6: 1,2 => UNS * INC # A8: 5 # I4: 1,2 => UNS * INC # A8: 5 # I4: 5,6 => UNS * INC # A8: 5 # A1: 1,2 => UNS * INC # A8: 5 # A2: 1,2 => UNS * INC # A8: 5 # G7: 6,9 => UNS * INC # A8: 5 # I9: 6,9 => UNS * INC # A8: 5 # D8: 6,9 => UNS * INC # A8: 5 # E8: 6,9 => UNS * INC # A8: 5 # G6: 6,9 => UNS * INC # A8: 5 # G6: 1,2,3,5 => UNS * INC # A8: 5 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for D7,F7: 2..:
* INC # D7: 2 # D2: 1,8 => UNS * INC # D7: 2 # D2: 6,7 => UNS * INC # D7: 2 # B3: 1,8 => UNS * INC # D7: 2 # I3: 1,8 => UNS * INC # D7: 2 # E8: 4,6 => UNS * INC # D7: 2 # F8: 4,6 => UNS * INC # D7: 2 # E9: 4,6 => UNS * PRF # D7: 2 # B7: 4,6 => SOL * STA # D7: 2 + B7: 4,6 * CNT 8 HDP CHAINS / 9 HYP OPENED