Analysis of xx-ph-00034415-12_05-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.....6..5.......4.6.8..3...8.4...4.....2......7..1.9..3.6....3....5......1..2 initial
Autosolve
position: 98.7.....6..5.8.....4.6.8..3...8.4...4.....2......7..1.9..3.6....3....5......1..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for F7,E9: 5..:
* DIS # E9: 5 # A7: 2,4 => CTR => A7: 1,5,7,8 * CNT 1 HDP CHAINS / 42 HYP OPENED
List of important HDP chains detected for E8,E9: 7..:
* DIS # E9: 7 # G2: 3,9 => CTR => G2: 1,2,7 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:38.990690
List of important HDP chains detected for F7,E9: 5..:
* DIS # E9: 5 # A7: 2,4 => CTR => A7: 1,5,7,8 * DIS # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # D6: 3,6 => CTR => D6: 2,4 * DIS # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 # F5: 5 => CTR => F5: 3,6 * PRF # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # C9: 8 => SOL * STA # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 + C9: 8 * CNT 4 HDP CHAINS / 58 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7.....6..5.......4.6.8..3...8.4...4.....2......7..1.9..3.6....3....5......1..2 | initial |
| 98.7.....6..5.8.....4.6.8..3...8.4...4.....2......7..1.9..3.6....3....5......1..2 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G8: 1.. / H7 = 1 => 3 pairs (_) / G8 = 1 => 0 pairs (_) G1,G2: 2.. / G1 = 2 => 3 pairs (_) / G2 = 2 => 1 pairs (_) B2,B3: 3.. / B2 = 3 => 0 pairs (_) / B3 = 3 => 2 pairs (_) G9,H9: 3.. / G9 = 3 => 3 pairs (_) / H9 = 3 => 1 pairs (_) D6,E6: 4.. / D6 = 4 => 1 pairs (_) / E6 = 4 => 2 pairs (_) F7,E9: 5.. / F7 = 5 => 0 pairs (_) / E9 = 5 => 4 pairs (_) H1,I1: 6.. / H1 = 6 => 1 pairs (_) / I1 = 6 => 0 pairs (_) E8,E9: 7.. / E8 = 7 => 1 pairs (_) / E9 = 7 => 2 pairs (_) I5,H6: 8.. / I5 = 8 => 1 pairs (_) / H6 = 8 => 1 pairs (_) * DURATION: 0:00:05.222638 START: 12:40:23.976164 END: 12:40:29.198802 2020-12-14 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F7,E9: 5.. / F7 = 5 ==> 0 pairs (_) / E9 = 5 ==> 4 pairs (_) G9,H9: 3.. / G9 = 3 ==> 3 pairs (_) / H9 = 3 ==> 1 pairs (_) G1,G2: 2.. / G1 = 2 ==> 3 pairs (_) / G2 = 2 ==> 1 pairs (_) H7,G8: 1.. / H7 = 1 ==> 3 pairs (_) / G8 = 1 ==> 0 pairs (_) E8,E9: 7.. / E8 = 7 ==> 1 pairs (_) / E9 = 7 ==> 2 pairs (_) D6,E6: 4.. / D6 = 4 ==> 1 pairs (_) / E6 = 4 ==> 2 pairs (_) B2,B3: 3.. / B2 = 3 ==> 0 pairs (_) / B3 = 3 ==> 2 pairs (_) I5,H6: 8.. / I5 = 8 ==> 1 pairs (_) / H6 = 8 ==> 1 pairs (_) H1,I1: 6.. / H1 = 6 ==> 1 pairs (_) / I1 = 6 ==> 0 pairs (_) * DURATION: 0:01:08.581062 START: 12:40:29.199383 END: 12:41:37.780445 2020-12-14 * REASONING F7,E9: 5.. * DIS # E9: 5 # A7: 2,4 => CTR => A7: 1,5,7,8 * CNT 1 HDP CHAINS / 42 HYP OPENED * REASONING E8,E9: 7.. * DIS # E9: 7 # G2: 3,9 => CTR => G2: 1,2,7 * CNT 1 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F7,E9: 5.. / F7 = 5 => 0 pairs (X) / E9 = 5 ==> 0 pairs (*) * DURATION: 0:00:38.987981 START: 12:41:37.886860 END: 12:42:16.874841 2020-12-14 * REASONING F7,E9: 5.. * DIS # E9: 5 # A7: 2,4 => CTR => A7: 1,5,7,8 * DIS # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # D6: 3,6 => CTR => D6: 2,4 * DIS # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 # F5: 5 => CTR => F5: 3,6 * PRF # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # C9: 8 => SOL * STA # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 + C9: 8 * CNT 4 HDP CHAINS / 58 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
34415;12_05;GP;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F7,E9: 5..:
* INC # E9: 5 # D4: 1,9 => UNS * INC # E9: 5 # D5: 1,9 => UNS * INC # E9: 5 # C5: 1,9 => UNS * INC # E9: 5 # C5: 5,6,7,8 => UNS * INC # E9: 5 # E2: 1,9 => UNS * INC # E9: 5 # E2: 2,4 => UNS * INC # E9: 5 # C9: 6,7 => UNS * INC # E9: 5 # C9: 8 => UNS * INC # E9: 5 # B4: 6,7 => UNS * INC # E9: 5 # B4: 1,2,5 => UNS * INC # E9: 5 # D7: 2,4 => UNS * INC # E9: 5 # D8: 2,4 => UNS * INC # E9: 5 # F8: 2,4 => UNS * DIS # E9: 5 # A7: 2,4 => CTR => A7: 1,5,7,8 * INC # E9: 5 + A7: 1,5,7,8 # F1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D7: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 2,3,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D5: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C5: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C5: 5,6,7,8 => UNS * INC # E9: 5 + A7: 1,5,7,8 # E2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # E2: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C9: 6,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C9: 8 => UNS * INC # E9: 5 + A7: 1,5,7,8 # B4: 6,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # B4: 1,2,5 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D7: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 2,3,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 => UNS * INC # F7: 5 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for G9,H9: 3..:
* INC # G9: 3 # I4: 5,9 => UNS * INC # G9: 3 # G5: 5,9 => UNS * INC # G9: 3 # C6: 5,9 => UNS * INC # G9: 3 # E6: 5,9 => UNS * INC # G9: 3 => UNS * INC # H9: 3 # G8: 7,9 => UNS * INC # H9: 3 # I8: 7,9 => UNS * INC # H9: 3 # E9: 7,9 => UNS * INC # H9: 3 # E9: 4,5 => UNS * INC # H9: 3 # G2: 7,9 => UNS * INC # H9: 3 # G5: 7,9 => UNS * INC # H9: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G1,G2: 2..:
* INC # G1: 2 # A3: 1,5 => UNS * INC # G1: 2 # B3: 1,5 => UNS * INC # G1: 2 # C4: 1,5 => UNS * INC # G1: 2 # C5: 1,5 => UNS * INC # G1: 2 # C7: 1,5 => UNS * INC # G1: 2 # E2: 1,4 => UNS * INC # G1: 2 # E2: 2,9 => UNS * INC # G1: 2 # H1: 1,4 => UNS * INC # G1: 2 # H1: 3,6 => UNS * INC # G1: 2 # H1: 3,4 => UNS * INC # G1: 2 # I1: 3,4 => UNS * INC # G1: 2 => UNS * INC # G2: 2 # B2: 1,7 => UNS * INC # G2: 2 # A3: 1,7 => UNS * INC # G2: 2 # B3: 1,7 => UNS * INC # G2: 2 # H2: 1,7 => UNS * INC # G2: 2 # H2: 3,4,9 => UNS * INC # G2: 2 # C4: 1,7 => UNS * INC # G2: 2 # C5: 1,7 => UNS * INC # G2: 2 # C7: 1,7 => UNS * INC # G2: 2 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for H7,G8: 1..:
* INC # H7: 1 # C1: 1,2 => UNS * INC # H7: 1 # E1: 1,2 => UNS * INC # H7: 1 # B2: 1,2 => UNS * INC # H7: 1 # C2: 1,2 => UNS * INC # H7: 1 # E2: 1,2 => UNS * INC # H7: 1 # I8: 7,9 => UNS * INC # H7: 1 # G9: 7,9 => UNS * INC # H7: 1 # H9: 7,9 => UNS * INC # H7: 1 # E8: 7,9 => UNS * INC # H7: 1 # E8: 2,4 => UNS * INC # H7: 1 # G5: 7,9 => UNS * INC # H7: 1 # G5: 3,5 => UNS * INC # H7: 1 => UNS * INC # G8: 1 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E8,E9: 7..:
* INC # E9: 7 # C9: 5,6 => UNS * INC # E9: 7 # C9: 8 => UNS * INC # E9: 7 # B4: 5,6 => UNS * INC # E9: 7 # B6: 5,6 => UNS * INC # E9: 7 # H9: 3,9 => UNS * INC # E9: 7 # H9: 4,8 => UNS * DIS # E9: 7 # G2: 3,9 => CTR => G2: 1,2,7 * INC # E9: 7 + G2: 1,2,7 # G5: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # G6: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # H9: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # H9: 4,8 => UNS * INC # E9: 7 + G2: 1,2,7 # G5: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # G6: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # C9: 5,6 => UNS * INC # E9: 7 + G2: 1,2,7 # C9: 8 => UNS * INC # E9: 7 + G2: 1,2,7 # B4: 5,6 => UNS * INC # E9: 7 + G2: 1,2,7 # B6: 5,6 => UNS * INC # E9: 7 + G2: 1,2,7 # H9: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # H9: 4,8 => UNS * INC # E9: 7 + G2: 1,2,7 # G5: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 # G6: 3,9 => UNS * INC # E9: 7 + G2: 1,2,7 => UNS * INC # E8: 7 # G2: 1,9 => UNS * INC # E8: 7 # G2: 2,3,7 => UNS * INC # E8: 7 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for D6,E6: 4..:
* INC # E6: 4 # E2: 1,2 => UNS * INC # E6: 4 # D3: 1,2 => UNS * INC # E6: 4 # C1: 1,2 => UNS * INC # E6: 4 # G1: 1,2 => UNS * INC # E6: 4 # A7: 2,5 => UNS * INC # E6: 4 # C7: 2,5 => UNS * INC # E6: 4 # F4: 2,5 => UNS * INC # E6: 4 # F4: 6,9 => UNS * INC # E6: 4 => UNS * INC # D6: 4 # D8: 2,8 => UNS * INC # D6: 4 # D8: 6,9 => UNS * INC # D6: 4 # A7: 2,8 => UNS * INC # D6: 4 # C7: 2,8 => UNS * INC # D6: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B2,B3: 3..:
* INC # B3: 3 # E2: 2,9 => UNS * INC # B3: 3 # D3: 2,9 => UNS * INC # B3: 3 # F4: 2,9 => UNS * INC # B3: 3 # F8: 2,9 => UNS * INC # B3: 3 # D8: 2,8 => UNS * INC # B3: 3 # D8: 6,9 => UNS * INC # B3: 3 # A7: 2,8 => UNS * INC # B3: 3 # C7: 2,8 => UNS * INC # B3: 3 => UNS * INC # B2: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for I5,H6: 8..:
* INC # I5: 8 # H7: 4,7 => UNS * INC # I5: 8 # I8: 4,7 => UNS * INC # I5: 8 # H9: 4,7 => UNS * INC # I5: 8 # A7: 4,7 => UNS * INC # I5: 8 # A7: 1,2,5,8 => UNS * INC # I5: 8 # I2: 4,7 => UNS * INC # I5: 8 # I2: 3,9 => UNS * INC # I5: 8 => UNS * INC # H6: 8 # B4: 2,5 => UNS * INC # H6: 8 # C4: 2,5 => UNS * INC # H6: 8 # B6: 2,5 => UNS * INC # H6: 8 # C6: 2,5 => UNS * INC # H6: 8 # E6: 2,5 => UNS * INC # H6: 8 # E6: 4,9 => UNS * INC # H6: 8 # A3: 2,5 => UNS * INC # H6: 8 # A7: 2,5 => UNS * INC # H6: 8 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for H1,I1: 6..:
* INC # H1: 6 # I4: 7,9 => UNS * INC # H1: 6 # G5: 7,9 => UNS * INC # H1: 6 # I5: 7,9 => UNS * INC # H1: 6 # C4: 7,9 => UNS * INC # H1: 6 # C4: 1,2,5,6 => UNS * INC # H1: 6 # H2: 7,9 => UNS * INC # H1: 6 # H3: 7,9 => UNS * INC # H1: 6 # H9: 7,9 => UNS * INC # H1: 6 => UNS * INC # I1: 6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F7,E9: 5..:
* INC # E9: 5 # D4: 1,9 => UNS * INC # E9: 5 # D5: 1,9 => UNS * INC # E9: 5 # C5: 1,9 => UNS * INC # E9: 5 # C5: 5,6,7,8 => UNS * INC # E9: 5 # E2: 1,9 => UNS * INC # E9: 5 # E2: 2,4 => UNS * INC # E9: 5 # C9: 6,7 => UNS * INC # E9: 5 # C9: 8 => UNS * INC # E9: 5 # B4: 6,7 => UNS * INC # E9: 5 # B4: 1,2,5 => UNS * INC # E9: 5 # D7: 2,4 => UNS * INC # E9: 5 # D8: 2,4 => UNS * INC # E9: 5 # F8: 2,4 => UNS * DIS # E9: 5 # A7: 2,4 => CTR => A7: 1,5,7,8 * INC # E9: 5 + A7: 1,5,7,8 # F1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D7: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 2,3,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D5: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C5: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C5: 5,6,7,8 => UNS * INC # E9: 5 + A7: 1,5,7,8 # E2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # E2: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C9: 6,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # C9: 8 => UNS * INC # E9: 5 + A7: 1,5,7,8 # B4: 6,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # B4: 1,2,5 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D7: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F8: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # F1: 3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # G2: 2,3,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # C4: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # C4: 2,5,6,7 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # D3: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # D3: 2,3 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # F5: 3,6 => UNS * DIS # E9: 5 + A7: 1,5,7,8 # D4: 1,9 # D6: 3,6 => CTR => D6: 2,4 * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 # F5: 3,6 => UNS * DIS # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 # F5: 5 => CTR => F5: 3,6 * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # C5: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # C5: 5,7,8 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # E2: 1,9 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # E2: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # E1: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # E2: 2,4 => UNS * INC # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # C9: 6,7 => UNS * PRF # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 # C9: 8 => SOL * STA # E9: 5 + A7: 1,5,7,8 # D4: 1,9 + D6: 2,4 + F5: 3,6 + C9: 8 * CNT 56 HDP CHAINS / 58 HYP OPENED