Analysis of xx-ph-00034177-2012_04-base.sdk
Contents
Original Sudoku
level: deep
position: 9876.....65....9...........4......3...87..6......2...1..65..7......3..2......1..4 initial
Autosolve
position: 9876.....65....9...........4......3...87..6......2...1..65..7......3..2......1..4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for F7,D9: 2..:
* PRF # F7: 2 # D4: 8,9 => SOL * STA # F7: 2 + D4: 8,9 * CNT 1 HDP CHAINS / 7 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
| 9876.....65....9...........4......3...87..6......2...1..65..7......3..2......1..4 | initial |
| 9876.....65....9...........4......3...87..6......2...1..65..7......3..2......1..4 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) F8: 6,7 E9: 6,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G8: 1.. / H7 = 1 => 4 pairs (_) / G8 = 1 => 3 pairs (_) F7,D9: 2.. / F7 = 2 => 3 pairs (_) / D9 = 2 => 2 pairs (_) I7,G9: 3.. / I7 = 3 => 4 pairs (_) / G9 = 3 => 3 pairs (_) H3,I3: 6.. / H3 = 6 => 0 pairs (_) / I3 = 6 => 0 pairs (_) B4,B6: 6.. / B4 = 6 => 0 pairs (_) / B6 = 6 => 2 pairs (_) F8,E9: 6.. / F8 = 6 => 0 pairs (_) / E9 = 6 => 0 pairs (_) I8,H9: 6.. / I8 = 6 => 0 pairs (_) / H9 = 6 => 0 pairs (_) B6,F6: 6.. / B6 = 6 => 2 pairs (_) / F6 = 6 => 0 pairs (_) F8,I8: 6.. / F8 = 6 => 0 pairs (_) / I8 = 6 => 0 pairs (_) E9,H9: 6.. / E9 = 6 => 0 pairs (_) / H9 = 6 => 0 pairs (_) E4,E9: 6.. / E4 = 6 => 0 pairs (_) / E9 = 6 => 0 pairs (_) H3,H9: 6.. / H3 = 6 => 0 pairs (_) / H9 = 6 => 0 pairs (_) I3,I8: 6.. / I3 = 6 => 0 pairs (_) / I8 = 6 => 0 pairs (_) I4,H6: 7.. / I4 = 7 => 2 pairs (_) / H6 = 7 => 3 pairs (_) F8,E9: 7.. / F8 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) B4,I4: 7.. / B4 = 7 => 3 pairs (_) / I4 = 7 => 2 pairs (_) * DURATION: 0:00:11.922152 START: 02:25:54.664082 END: 02:26:06.586234 2020-09-23 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I7,G9: 3.. / I7 = 3 ==> 4 pairs (_) / G9 = 3 ==> 3 pairs (_) H7,G8: 1.. / H7 = 1 ==> 4 pairs (_) / G8 = 1 ==> 3 pairs (_) B4,I4: 7.. / B4 = 7 ==> 3 pairs (_) / I4 = 7 ==> 2 pairs (_) I4,H6: 7.. / I4 = 7 ==> 2 pairs (_) / H6 = 7 ==> 3 pairs (_) F7,D9: 2.. / F7 = 2 ==> 0 pairs (*) / D9 = 2 => 0 pairs (X) * DURATION: 0:00:46.502138 START: 02:26:07.345774 END: 02:26:53.847912 2020-09-23 * REASONING F7,D9: 2.. * PRF # F7: 2 # D4: 8,9 => SOL * STA # F7: 2 + D4: 8,9 * CNT 1 HDP CHAINS / 7 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
34177;2012_04;GP;21;11.60;11.60;3.40
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I7,G9: 3..:
* INC # I7: 3 # G1: 2,5 => UNS * INC # I7: 3 # G3: 2,5 => UNS * INC # I7: 3 # I3: 2,5 => UNS * INC # I7: 3 # F1: 2,5 => UNS * INC # I7: 3 # F1: 3,4 => UNS * INC # I7: 3 # I4: 2,5 => UNS * INC # I7: 3 # I5: 2,5 => UNS * INC # I7: 3 # G8: 5,8 => UNS * INC # I7: 3 # I8: 5,8 => UNS * INC # I7: 3 # H9: 5,8 => UNS * INC # I7: 3 # A9: 5,8 => UNS * INC # I7: 3 # A9: 2,3,7 => UNS * INC # I7: 3 # G3: 5,8 => UNS * INC # I7: 3 # G4: 5,8 => UNS * INC # I7: 3 # G6: 5,8 => UNS * INC # I7: 3 => UNS * INC # G9: 3 # H7: 8,9 => UNS * INC # G9: 3 # I8: 8,9 => UNS * INC # G9: 3 # H9: 8,9 => UNS * INC # G9: 3 # E7: 8,9 => UNS * INC # G9: 3 # F7: 8,9 => UNS * INC # G9: 3 # I4: 8,9 => UNS * INC # G9: 3 # I4: 2,5,7 => UNS * INC # G9: 3 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for H7,G8: 1..:
* INC # H7: 1 # G1: 4,5 => UNS * INC # H7: 1 # G3: 4,5 => UNS * INC # H7: 1 # H3: 4,5 => UNS * INC # H7: 1 # E1: 4,5 => UNS * INC # H7: 1 # F1: 4,5 => UNS * INC # H7: 1 # H5: 4,5 => UNS * INC # H7: 1 # H6: 4,5 => UNS * INC # H7: 1 # I8: 5,8 => UNS * INC # H7: 1 # G9: 5,8 => UNS * INC # H7: 1 # H9: 5,8 => UNS * INC # H7: 1 # A8: 5,8 => UNS * INC # H7: 1 # A8: 1,7 => UNS * INC # H7: 1 # G3: 5,8 => UNS * INC # H7: 1 # G4: 5,8 => UNS * INC # H7: 1 # G6: 5,8 => UNS * INC # H7: 1 => UNS * INC # G8: 1 # I7: 8,9 => UNS * INC # G8: 1 # I8: 8,9 => UNS * INC # G8: 1 # H9: 8,9 => UNS * INC # G8: 1 # E7: 8,9 => UNS * INC # G8: 1 # F7: 8,9 => UNS * INC # G8: 1 # H6: 8,9 => UNS * INC # G8: 1 # H6: 4,5,7 => UNS * INC # G8: 1 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for B4,I4: 7..:
* INC # B4: 7 # A5: 3,5 => UNS * INC # B4: 7 # C6: 3,5 => UNS * INC # B4: 7 # F6: 3,5 => UNS * INC # B4: 7 # F6: 4,8,9 => UNS * INC # B4: 7 # A9: 3,5 => UNS * INC # B4: 7 # A9: 2,7,8 => UNS * INC # B4: 7 => UNS * INC # I4: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I4,H6: 7..:
* INC # H6: 7 # A5: 3,5 => UNS * INC # H6: 7 # C6: 3,5 => UNS * INC # H6: 7 # F6: 3,5 => UNS * INC # H6: 7 # F6: 4,8,9 => UNS * INC # H6: 7 # A9: 3,5 => UNS * INC # H6: 7 # A9: 2,7,8 => UNS * INC # H6: 7 => UNS * INC # I4: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F7,D9: 2..:
* INC # F7: 2 # E7: 8,9 => UNS * INC # F7: 2 # D8: 8,9 => UNS * INC # F7: 2 # H9: 8,9 => UNS * INC # F7: 2 # H9: 5,6 => UNS * INC # F7: 2 # D3: 8,9 => UNS * PRF # F7: 2 # D4: 8,9 => SOL * STA # F7: 2 + D4: 8,9 * CNT 6 HDP CHAINS / 7 HYP OPENED