Analysis of xx-ph-02316257-2019_01_13-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7...8......5.9....4.....8...7.....3...84...76.6.8..7...4.6..3.......2..1 initial
Autosolve
position: 98.7..6..7...8......5.9..874.....8...7...8.3...84...76.6.8..7...4.6..3.88....2.61 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for F3,G3: 4..:
* DIS # G3: 4 # G2: 5,9 => CTR => G2: 1,2 * CNT 1 HDP CHAINS / 34 HYP OPENED
List of important HDP chains detected for A3,A5: 6..:
* DIS # A5: 6 # G2: 5,9 => CTR => G2: 1,2 * DIS # A5: 6 + G2: 1,2 # H2: 1,2 => CTR => H2: 5,9 * DIS # A5: 6 + G2: 1,2 + H2: 5,9 # D2: 1,2 => CTR => D2: 3,5 * DIS # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 # B2: 3 => CTR => B2: 1,2 * PRF # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 # H1: 5 => SOL * STA # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 + H1: 5 * CNT 5 HDP CHAINS / 26 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...8......5.9....4.....8...7.....3...84...76.6.8..7...4.6..3.......2..1 | initial |
| 98.7..6..7...8......5.9..874.....8...7...8.3...84...76.6.8..7...4.6..3.88....2.61 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I2: 3.. / I1 = 3 => 0 pairs (_) / I2 = 3 => 1 pairs (_) C1,C2: 4.. / C1 = 4 => 2 pairs (_) / C2 = 4 => 0 pairs (_) G5,I5: 4.. / G5 = 4 => 2 pairs (_) / I5 = 4 => 0 pairs (_) F3,G3: 4.. / F3 = 4 => 1 pairs (_) / G3 = 4 => 3 pairs (_) E9,G9: 4.. / E9 = 4 => 1 pairs (_) / G9 = 4 => 1 pairs (_) C2,A3: 6.. / C2 = 6 => 1 pairs (_) / A3 = 6 => 0 pairs (_) F2,F3: 6.. / F2 = 6 => 0 pairs (_) / F3 = 6 => 1 pairs (_) E4,E5: 6.. / E4 = 6 => 0 pairs (_) / E5 = 6 => 0 pairs (_) C2,F2: 6.. / C2 = 6 => 1 pairs (_) / F2 = 6 => 0 pairs (_) A3,F3: 6.. / A3 = 6 => 0 pairs (_) / F3 = 6 => 1 pairs (_) C4,E4: 6.. / C4 = 6 => 0 pairs (_) / E4 = 6 => 0 pairs (_) A3,A5: 6.. / A3 = 6 => 0 pairs (_) / A5 = 6 => 1 pairs (_) E4,F4: 7.. / E4 = 7 => 1 pairs (_) / F4 = 7 => 0 pairs (_) C8,C9: 7.. / C8 = 7 => 3 pairs (_) / C9 = 7 => 0 pairs (_) C9,E9: 7.. / C9 = 7 => 0 pairs (_) / E9 = 7 => 3 pairs (_) F4,F8: 7.. / F4 = 7 => 0 pairs (_) / F8 = 7 => 1 pairs (_) * DURATION: 0:00:12.198407 START: 21:37:57.941315 END: 21:38:10.139722 2020-11-06 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F3,G3: 4.. / F3 = 4 ==> 1 pairs (_) / G3 = 4 ==> 4 pairs (_) C9,E9: 7.. / C9 = 7 ==> 0 pairs (_) / E9 = 7 ==> 3 pairs (_) C8,C9: 7.. / C8 = 7 ==> 3 pairs (_) / C9 = 7 ==> 0 pairs (_) G5,I5: 4.. / G5 = 4 ==> 2 pairs (_) / I5 = 4 ==> 0 pairs (_) C1,C2: 4.. / C1 = 4 ==> 2 pairs (_) / C2 = 4 ==> 0 pairs (_) E9,G9: 4.. / E9 = 4 ==> 1 pairs (_) / G9 = 4 ==> 1 pairs (_) F4,F8: 7.. / F4 = 7 ==> 0 pairs (_) / F8 = 7 ==> 1 pairs (_) E4,F4: 7.. / E4 = 7 ==> 1 pairs (_) / F4 = 7 ==> 0 pairs (_) A3,A5: 6.. / A3 = 6 => 0 pairs (X) / A5 = 6 ==> 0 pairs (*) * DURATION: 0:01:30.677481 START: 21:38:10.140280 END: 21:39:40.817761 2020-11-06 * REASONING F3,G3: 4.. * DIS # G3: 4 # G2: 5,9 => CTR => G2: 1,2 * CNT 1 HDP CHAINS / 34 HYP OPENED * REASONING A3,A5: 6.. * DIS # A5: 6 # G2: 5,9 => CTR => G2: 1,2 * DIS # A5: 6 + G2: 1,2 # H2: 1,2 => CTR => H2: 5,9 * DIS # A5: 6 + G2: 1,2 + H2: 5,9 # D2: 1,2 => CTR => D2: 3,5 * DIS # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 # B2: 3 => CTR => B2: 1,2 * PRF # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 # H1: 5 => SOL * STA # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 + H1: 5 * CNT 5 HDP CHAINS / 26 HYP OPENED * DCP COUNT: (9) * SOLUTION FOUND
Header Info
2316257;2019_01_13;PAQ;24;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F3,G3: 4..:
* INC # G3: 4 # I7: 5,9 => UNS * INC # G3: 4 # H8: 5,9 => UNS * INC # G3: 4 # B9: 5,9 => UNS * INC # G3: 4 # D9: 5,9 => UNS * DIS # G3: 4 # G2: 5,9 => CTR => G2: 1,2 * INC # G3: 4 + G2: 1,2 # G5: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # G6: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # I7: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # H8: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # B9: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # D9: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # G5: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # G6: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # H1: 1,2 => UNS * INC # G3: 4 + G2: 1,2 # H2: 1,2 => UNS * INC # G3: 4 + G2: 1,2 # B2: 1,2 => UNS * INC # G3: 4 + G2: 1,2 # D2: 1,2 => UNS * INC # G3: 4 + G2: 1,2 # G5: 1,2 => UNS * INC # G3: 4 + G2: 1,2 # G6: 1,2 => UNS * INC # G3: 4 + G2: 1,2 # I7: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # H8: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # B9: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # D9: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # G5: 5,9 => UNS * INC # G3: 4 + G2: 1,2 # G6: 5,9 => UNS * INC # G3: 4 + G2: 1,2 => UNS * INC # F3: 4 # H1: 1,2 => UNS * INC # F3: 4 # G2: 1,2 => UNS * INC # F3: 4 # H2: 1,2 => UNS * INC # F3: 4 # B3: 1,2 => UNS * INC # F3: 4 # D3: 1,2 => UNS * INC # F3: 4 # G5: 1,2 => UNS * INC # F3: 4 # G6: 1,2 => UNS * INC # F3: 4 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for C9,E9: 7..:
* INC # E9: 7 # H1: 1,2 => UNS * INC # E9: 7 # G2: 1,2 => UNS * INC # E9: 7 # H2: 1,2 => UNS * INC # E9: 7 # B3: 1,2 => UNS * INC # E9: 7 # D3: 1,2 => UNS * INC # E9: 7 # G5: 1,2 => UNS * INC # E9: 7 # G6: 1,2 => UNS * INC # E9: 7 # C7: 3,9 => UNS * INC # E9: 7 # B9: 3,9 => UNS * INC # E9: 7 # D9: 3,9 => UNS * INC # E9: 7 # D9: 5 => UNS * INC # E9: 7 # C4: 3,9 => UNS * INC # E9: 7 # C4: 1,2,6 => UNS * INC # E9: 7 # F7: 1,5 => UNS * INC # E9: 7 # F8: 1,5 => UNS * INC # E9: 7 # A8: 1,5 => UNS * INC # E9: 7 # A8: 2 => UNS * INC # E9: 7 # E1: 1,5 => UNS * INC # E9: 7 # E4: 1,5 => UNS * INC # E9: 7 # E5: 1,5 => UNS * INC # E9: 7 # E6: 1,5 => UNS * INC # E9: 7 => UNS * INC # C9: 7 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for C8,C9: 7..:
* INC # C8: 7 # H1: 1,2 => UNS * INC # C8: 7 # G2: 1,2 => UNS * INC # C8: 7 # H2: 1,2 => UNS * INC # C8: 7 # B3: 1,2 => UNS * INC # C8: 7 # D3: 1,2 => UNS * INC # C8: 7 # G5: 1,2 => UNS * INC # C8: 7 # G6: 1,2 => UNS * INC # C8: 7 # C7: 3,9 => UNS * INC # C8: 7 # B9: 3,9 => UNS * INC # C8: 7 # D9: 3,9 => UNS * INC # C8: 7 # D9: 5 => UNS * INC # C8: 7 # C4: 3,9 => UNS * INC # C8: 7 # C4: 1,2,6 => UNS * INC # C8: 7 # F7: 1,5 => UNS * INC # C8: 7 # F8: 1,5 => UNS * INC # C8: 7 # A8: 1,5 => UNS * INC # C8: 7 # A8: 2 => UNS * INC # C8: 7 # E1: 1,5 => UNS * INC # C8: 7 # E4: 1,5 => UNS * INC # C8: 7 # E5: 1,5 => UNS * INC # C8: 7 # E6: 1,5 => UNS * INC # C8: 7 => UNS * INC # C9: 7 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for G5,I5: 4..:
* INC # G5: 4 # H1: 1,2 => UNS * INC # G5: 4 # G2: 1,2 => UNS * INC # G5: 4 # H2: 1,2 => UNS * INC # G5: 4 # B3: 1,2 => UNS * INC # G5: 4 # D3: 1,2 => UNS * INC # G5: 4 # G6: 1,2 => UNS * INC # G5: 4 # G6: 5,9 => UNS * INC # G5: 4 # H7: 5,9 => UNS * INC # G5: 4 # I7: 5,9 => UNS * INC # G5: 4 # H8: 5,9 => UNS * INC # G5: 4 # B9: 5,9 => UNS * INC # G5: 4 # D9: 5,9 => UNS * INC # G5: 4 # G2: 5,9 => UNS * INC # G5: 4 # G6: 5,9 => UNS * INC # G5: 4 => UNS * INC # I5: 4 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C1,C2: 4..:
* INC # C1: 4 => UNS * INC # C2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E9,G9: 4..:
* INC # E9: 4 # H7: 5,9 => UNS * INC # E9: 4 # I7: 5,9 => UNS * INC # E9: 4 # H8: 5,9 => UNS * INC # E9: 4 # B9: 5,9 => UNS * INC # E9: 4 # D9: 5,9 => UNS * INC # E9: 4 # G2: 5,9 => UNS * INC # E9: 4 # G5: 5,9 => UNS * INC # E9: 4 # G6: 5,9 => UNS * INC # E9: 4 => UNS * INC # G9: 4 # H1: 1,2 => UNS * INC # G9: 4 # G2: 1,2 => UNS * INC # G9: 4 # H2: 1,2 => UNS * INC # G9: 4 # B3: 1,2 => UNS * INC # G9: 4 # D3: 1,2 => UNS * INC # G9: 4 # G5: 1,2 => UNS * INC # G9: 4 # G6: 1,2 => UNS * INC # G9: 4 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for F4,F8: 7..:
* INC # F8: 7 # E7: 1,5 => UNS * INC # F8: 7 # F7: 1,5 => UNS * INC # F8: 7 # A8: 1,5 => UNS * INC # F8: 7 # A8: 2 => UNS * INC # F8: 7 # E1: 1,5 => UNS * INC # F8: 7 # E6: 1,5 => UNS * INC # F8: 7 => UNS * INC # F4: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E4,F4: 7..:
* INC # E4: 7 # E7: 1,5 => UNS * INC # E4: 7 # F7: 1,5 => UNS * INC # E4: 7 # A8: 1,5 => UNS * INC # E4: 7 # A8: 2 => UNS * INC # E4: 7 # E1: 1,5 => UNS * INC # E4: 7 # E6: 1,5 => UNS * INC # E4: 7 => UNS * INC # F4: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A3,A5: 6..:
* INC # A5: 6 # I7: 5,9 => UNS * INC # A5: 6 # H8: 5,9 => UNS * INC # A5: 6 # B9: 5,9 => UNS * INC # A5: 6 # D9: 5,9 => UNS * DIS # A5: 6 # G2: 5,9 => CTR => G2: 1,2 * INC # A5: 6 + G2: 1,2 # G5: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # G6: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # I7: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # H8: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # B9: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # D9: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # G5: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # G6: 5,9 => UNS * INC # A5: 6 + G2: 1,2 # H1: 1,2 => UNS * DIS # A5: 6 + G2: 1,2 # H2: 1,2 => CTR => H2: 5,9 * INC # A5: 6 + G2: 1,2 + H2: 5,9 # H1: 1,2 => UNS * INC # A5: 6 + G2: 1,2 + H2: 5,9 # H1: 5 => UNS * INC # A5: 6 + G2: 1,2 + H2: 5,9 # B2: 1,2 => UNS * DIS # A5: 6 + G2: 1,2 + H2: 5,9 # D2: 1,2 => CTR => D2: 3,5 * INC # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 # B2: 1,2 => UNS * DIS # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 # B2: 3 => CTR => B2: 1,2 * INC # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 # G5: 1,2 => UNS * INC # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 # G6: 1,2 => UNS * INC # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 # H1: 1,2 => UNS * PRF # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 # H1: 5 => SOL * STA # A5: 6 + G2: 1,2 + H2: 5,9 + D2: 3,5 + B2: 1,2 + H1: 5 * CNT 25 HDP CHAINS / 26 HYP OPENED