Analysis of xx-ph-00041518-12_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7.6.9.....54......8..6..7....5....3......2..4.9..8.1.....1...2......3..5 initial
Autosolve
position: 98.7..6..7.6.9.....54......8..6..7....5....3......2..4.9..8.1.....1...2......3..5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for G2,G6: 5..:
* DIS # G2: 5 # G5: 8,9 => CTR => G5: 2 * DIS # G2: 5 + G5: 2 # D6: 8,9 => CTR => D6: 3,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 # H9: 6,7 => CTR => H9: 8,9 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 # F7: 6,7 => CTR => F7: 4,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 # I8: 6,7 => CTR => I8: 3,8,9 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 # H2: 8 => CTR => H2: 1,4 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 # E1: 1,4 => CTR => E1: 2,3,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 + E1: 2,3,5 # F1: 1,4 => CTR => F1: 5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 + E1: 2,3,5 + F1: 5 => CTR => G2: 2,3,4,8 * STA G2: 2,3,4,8 * CNT 9 HDP CHAINS / 28 HYP OPENED
List of important HDP chains detected for C4,C6: 9..:
* DIS # C4: 9 # H6: 1,5 => CTR => H6: 6,8,9 * DIS # C4: 9 + H6: 6,8,9 # I5: 1,2 => CTR => I5: 6,8,9 * DIS # C4: 9 + H6: 6,8,9 + I5: 6,8,9 # I3: 1,2 => CTR => I3: 3,7,8,9 * DIS # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # F8: 4,5 => CTR => F8: 6,7,9 * CNT 4 HDP CHAINS / 43 HYP OPENED
List of important HDP chains detected for A7,A8: 5..:
* DIS # A7: 5 # D2: 2,4 => CTR => D2: 3,5,8 * 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
| 98.7..6..7.6.9.....54......8..6..7....5....3......2..4.9..8.1.....1...2......3..5 | initial |
| 98.7..6..7.6.9.....54......8..6..7....5....3......2..4.9..8.1.....1...2......3..5 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,A8: 5.. / A7 = 5 => 1 pairs (_) / A8 = 5 => 0 pairs (_) G2,G6: 5.. / G2 = 5 => 3 pairs (_) / G6 = 5 => 1 pairs (_) E3,F3: 6.. / E3 = 6 => 1 pairs (_) / F3 = 6 => 0 pairs (_) I5,H6: 6.. / I5 = 6 => 1 pairs (_) / H6 = 6 => 2 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) C8,C9: 8.. / C8 = 8 => 0 pairs (_) / C9 = 8 => 2 pairs (_) C4,C6: 9.. / C4 = 9 => 2 pairs (_) / C6 = 9 => 1 pairs (_) F8,D9: 9.. / F8 = 9 => 1 pairs (_) / D9 = 9 => 2 pairs (_) * DURATION: 0:00:05.945009 START: 02:37:43.921900 END: 02:37:49.866909 2020-10-21 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G2,G6: 5.. / G2 = 5 ==> 0 pairs (X) / G6 = 5 => 1 pairs (_) F8,D9: 9.. / F8 = 9 ==> 1 pairs (_) / D9 = 9 ==> 2 pairs (_) C4,C6: 9.. / C4 = 9 ==> 3 pairs (_) / C6 = 9 ==> 1 pairs (_) I5,H6: 6.. / I5 = 6 ==> 1 pairs (_) / H6 = 6 ==> 2 pairs (_) C8,C9: 8.. / C8 = 8 ==> 0 pairs (_) / C9 = 8 ==> 2 pairs (_) H3,I3: 7.. / H3 = 7 ==> 1 pairs (_) / I3 = 7 ==> 1 pairs (_) E3,F3: 6.. / E3 = 6 ==> 1 pairs (_) / F3 = 6 ==> 0 pairs (_) A7,A8: 5.. / A7 = 5 ==> 1 pairs (_) / A8 = 5 ==> 0 pairs (_) * DURATION: 0:01:16.094199 START: 02:37:49.867760 END: 02:39:05.961959 2020-10-21 * REASONING G2,G6: 5.. * DIS # G2: 5 # G5: 8,9 => CTR => G5: 2 * DIS # G2: 5 + G5: 2 # D6: 8,9 => CTR => D6: 3,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 # H9: 6,7 => CTR => H9: 8,9 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 # F7: 6,7 => CTR => F7: 4,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 # I8: 6,7 => CTR => I8: 3,8,9 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 # H2: 8 => CTR => H2: 1,4 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 # E1: 1,4 => CTR => E1: 2,3,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 + E1: 2,3,5 # F1: 1,4 => CTR => F1: 5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 + E1: 2,3,5 + F1: 5 => CTR => G2: 2,3,4,8 * STA G2: 2,3,4,8 * CNT 9 HDP CHAINS / 28 HYP OPENED * REASONING C4,C6: 9.. * DIS # C4: 9 # H6: 1,5 => CTR => H6: 6,8,9 * DIS # C4: 9 + H6: 6,8,9 # I5: 1,2 => CTR => I5: 6,8,9 * DIS # C4: 9 + H6: 6,8,9 + I5: 6,8,9 # I3: 1,2 => CTR => I3: 3,7,8,9 * DIS # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # F8: 4,5 => CTR => F8: 6,7,9 * CNT 4 HDP CHAINS / 43 HYP OPENED * REASONING A7,A8: 5.. * DIS # A7: 5 # D2: 2,4 => CTR => D2: 3,5,8 * CNT 1 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (8) * CLUE FOUND
Header Info
41518;12_07;GP;23;11.40;11.40;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G2,G6: 5..:
* INC # G2: 5 # H2: 1,4 => UNS * INC # G2: 5 # H2: 8 => UNS * INC # G2: 5 # E1: 1,4 => UNS * INC # G2: 5 # F1: 1,4 => UNS * DIS # G2: 5 # G5: 8,9 => CTR => G5: 2 * INC # G2: 5 + G5: 2 # I5: 8,9 => UNS * INC # G2: 5 + G5: 2 # H6: 8,9 => UNS * DIS # G2: 5 + G5: 2 # D6: 8,9 => CTR => D6: 3,5 * INC # G2: 5 + G5: 2 + D6: 3,5 # G3: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # G8: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # G9: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # H6: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # H6: 1,5,6 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # G3: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # G8: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # G9: 8,9 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # I7: 6,7 => UNS * INC # G2: 5 + G5: 2 + D6: 3,5 # I8: 6,7 => UNS * DIS # G2: 5 + G5: 2 + D6: 3,5 # H9: 6,7 => CTR => H9: 8,9 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 # F7: 6,7 => CTR => F7: 4,5 * INC # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 # I7: 6,7 => UNS * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 # I8: 6,7 => CTR => I8: 3,8,9 * INC # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 # H2: 1,4 => UNS * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 # H2: 8 => CTR => H2: 1,4 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 # E1: 1,4 => CTR => E1: 2,3,5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 + E1: 2,3,5 # F1: 1,4 => CTR => F1: 5 * DIS # G2: 5 + G5: 2 + D6: 3,5 + H9: 8,9 + F7: 4,5 + I8: 3,8,9 + H2: 1,4 + E1: 2,3,5 + F1: 5 => CTR => G2: 2,3,4,8 * INC G2: 2,3,4,8 # G6: 5 => UNS * STA G2: 2,3,4,8 * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for F8,D9: 9..:
* INC # D9: 9 # F5: 4,8 => UNS * INC # D9: 9 # F5: 1,7,9 => UNS * INC # D9: 9 # D2: 4,8 => UNS * INC # D9: 9 # D2: 2,3,5 => UNS * INC # D9: 9 # G8: 4,8 => UNS * INC # D9: 9 # H9: 4,8 => UNS * INC # D9: 9 # G2: 4,8 => UNS * INC # D9: 9 # G2: 2,3,5 => UNS * INC # D9: 9 => UNS * INC # F8: 9 # D7: 2,4 => UNS * INC # F8: 9 # E9: 2,4 => UNS * INC # F8: 9 # A9: 2,4 => UNS * INC # F8: 9 # B9: 2,4 => UNS * INC # F8: 9 # D2: 2,4 => UNS * INC # F8: 9 # D2: 3,5,8 => UNS * INC # F8: 9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C4,C6: 9..:
* DIS # C4: 9 # H6: 1,5 => CTR => H6: 6,8,9 * INC # C4: 9 + H6: 6,8,9 # E4: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 # F4: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 # H1: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 # H2: 1,5 => UNS * DIS # C4: 9 + H6: 6,8,9 # I5: 1,2 => CTR => I5: 6,8,9 * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 # I1: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 # I2: 1,2 => UNS * DIS # C4: 9 + H6: 6,8,9 + I5: 6,8,9 # I3: 1,2 => CTR => I3: 3,7,8,9 * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # I1: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # I2: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # E4: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # E4: 3 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # F1: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # F2: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # F7: 4,5 => UNS * DIS # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 # F8: 4,5 => CTR => F8: 6,7,9 * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # E4: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # E4: 3 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # F1: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # F2: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # F7: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # H1: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # H2: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # I1: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # I2: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # E4: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # E4: 3 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # F1: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # F2: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # F7: 4,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # H1: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # H2: 1,5 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # I1: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 # I2: 1,2 => UNS * INC # C4: 9 + H6: 6,8,9 + I5: 6,8,9 + I3: 3,7,8,9 + F8: 6,7,9 => UNS * INC # C6: 9 # H6: 5,8 => UNS * INC # C6: 9 # H6: 1,6 => UNS * INC # C6: 9 # D6: 5,8 => UNS * INC # C6: 9 # D6: 3 => UNS * INC # C6: 9 # G2: 5,8 => UNS * INC # C6: 9 # G2: 2,3,4 => UNS * INC # C6: 9 => UNS * CNT 43 HDP CHAINS / 43 HYP OPENED
Full list of HDP chains traversed for I5,H6: 6..:
* INC # H6: 6 # B4: 1,3 => UNS * INC # H6: 6 # C4: 1,3 => UNS * INC # H6: 6 # B6: 1,3 => UNS * INC # H6: 6 # C6: 1,3 => UNS * INC # H6: 6 # E6: 1,3 => UNS * INC # H6: 6 # E6: 5,7 => UNS * INC # H6: 6 # A3: 1,3 => UNS * INC # H6: 6 # A3: 2 => UNS * INC # H6: 6 # H9: 4,7 => UNS * INC # H6: 6 # H9: 8,9 => UNS * INC # H6: 6 # F7: 4,7 => UNS * INC # H6: 6 # F7: 5,6 => UNS * INC # H6: 6 => UNS * INC # I5: 6 # I8: 3,7 => UNS * INC # I5: 6 # I8: 8,9 => UNS * INC # I5: 6 # C7: 3,7 => UNS * INC # I5: 6 # C7: 2 => UNS * INC # I5: 6 # I3: 3,7 => UNS * INC # I5: 6 # I3: 1,2,8,9 => UNS * INC # I5: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C8,C9: 8..:
* INC # C9: 8 # C7: 3,7 => UNS * INC # C9: 8 # B8: 3,7 => UNS * INC # C9: 8 # I8: 3,7 => UNS * INC # C9: 8 # I8: 6,8,9 => UNS * INC # C9: 8 # C6: 3,7 => UNS * INC # C9: 8 # C6: 1,9 => UNS * INC # C9: 8 # G8: 4,9 => UNS * INC # C9: 8 # H9: 4,9 => UNS * INC # C9: 8 # D9: 4,9 => UNS * INC # C9: 8 # D9: 2 => UNS * INC # C9: 8 => UNS * INC # C8: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 # H9: 4,6 => UNS * INC # H3: 7 # H9: 8,9 => UNS * INC # H3: 7 # A7: 4,6 => UNS * INC # H3: 7 # F7: 4,6 => UNS * INC # H3: 7 => UNS * INC # I3: 7 # I8: 3,6 => UNS * INC # I3: 7 # I8: 8,9 => UNS * INC # I3: 7 # A7: 3,6 => UNS * INC # I3: 7 # A7: 2,4,5 => UNS * INC # I3: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E3,F3: 6..:
* INC # E3: 6 # F2: 1,8 => UNS * INC # E3: 6 # F2: 4,5 => UNS * INC # E3: 6 # H3: 1,8 => UNS * INC # E3: 6 # I3: 1,8 => UNS * INC # E3: 6 # F5: 1,8 => UNS * INC # E3: 6 # F5: 4,7,9 => UNS * INC # E3: 6 => UNS * INC # F3: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A7,A8: 5..:
* INC # A7: 5 # D9: 2,4 => UNS * INC # A7: 5 # E9: 2,4 => UNS * DIS # A7: 5 # D2: 2,4 => CTR => D2: 3,5,8 * INC # A7: 5 + D2: 3,5,8 # D9: 2,4 => UNS * INC # A7: 5 + D2: 3,5,8 # E9: 2,4 => UNS * INC # A7: 5 + D2: 3,5,8 # D9: 2,4 => UNS * INC # A7: 5 + D2: 3,5,8 # E9: 2,4 => UNS * INC # A7: 5 + D2: 3,5,8 => UNS * INC # A8: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED