Analysis of xx-dukdiamond1-base.sdk
Contents
Original Sudoku
level: very deep
position: 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....5..34...7.....1.6.......7 initial
Autosolve
position: 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....5..34...7.....1.6.......7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000005
List of important HDP chains detected for E8,E9: 4..:
* DIS # E8: 4 # A8: 2,9 => CTR => A8: 3,8 * CNT 1 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for H1,I2: 4..:
* DIS # I2: 4 # A2: 7,9 => CTR => A2: 5,8 * CNT 1 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for A8,B9: 3..:
* DIS # B9: 3 # H9: 2,8 => CTR => H9: 5,9 * DIS # B9: 3 + H9: 5,9 # E9: 2,8 => CTR => E9: 1,4,5,9 * DIS # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # E9: 5,9 => CTR => E9: 1,4 * CNT 3 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for D1,D2: 3..:
* DIS # D1: 3 # H1: 7,8 => CTR => H1: 4,9 * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:18.148166
List of important HDP chains detected for I8,H9: 5..:
* PRF # I8: 5 # D7: 2,6 # F5: 1,7 => SOL * STA # I8: 5 # D7: 2,6 + F5: 1,7 * CNT 1 HDP CHAINS / 11 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
| 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....5..34...7.....1.6.......7 | initial |
| 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....5..34...7.....1.6.......7 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E3,F3: 2.. / E3 = 2 => 0 pairs (_) / F3 = 2 => 0 pairs (_) D1,D2: 3.. / D1 = 3 => 1 pairs (_) / D2 = 3 => 0 pairs (_) A8,B9: 3.. / A8 = 3 => 0 pairs (_) / B9 = 3 => 1 pairs (_) H1,I2: 4.. / H1 = 4 => 0 pairs (_) / I2 = 4 => 1 pairs (_) E8,E9: 4.. / E8 = 4 => 1 pairs (_) / E9 = 4 => 0 pairs (_) B1,A2: 5.. / B1 = 5 => 0 pairs (_) / A2 = 5 => 0 pairs (_) I8,H9: 5.. / I8 = 5 => 1 pairs (_) / H9 = 5 => 1 pairs (_) D7,E7: 7.. / D7 = 7 => 0 pairs (_) / E7 = 7 => 0 pairs (_) * DURATION: 0:00:06.329048 START: 20:42:29.697110 END: 20:42:36.026158 2017-04-28 * CP COUNT: (8) -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I8,H9: 5.. / I8 = 5 ==> 1 pairs (_) / H9 = 5 ==> 1 pairs (_) E8,E9: 4.. / E8 = 4 ==> 2 pairs (_) / E9 = 4 ==> 0 pairs (_) H1,I2: 4.. / H1 = 4 ==> 0 pairs (_) / I2 = 4 ==> 2 pairs (_) A8,B9: 3.. / A8 = 3 ==> 0 pairs (_) / B9 = 3 ==> 3 pairs (_) D1,D2: 3.. / D1 = 3 ==> 2 pairs (_) / D2 = 3 ==> 0 pairs (_) D7,E7: 7.. / D7 = 7 ==> 0 pairs (_) / E7 = 7 ==> 0 pairs (_) B1,A2: 5.. / B1 = 5 ==> 0 pairs (_) / A2 = 5 ==> 0 pairs (_) E3,F3: 2.. / E3 = 2 ==> 0 pairs (_) / F3 = 2 ==> 0 pairs (_) * DURATION: 0:01:15.533408 START: 20:42:36.026560 END: 20:43:51.559968 2017-04-28 * REASONING E8,E9: 4.. * DIS # E8: 4 # A8: 2,9 => CTR => A8: 3,8 * CNT 1 HDP CHAINS / 25 HYP OPENED * REASONING H1,I2: 4.. * DIS # I2: 4 # A2: 7,9 => CTR => A2: 5,8 * CNT 1 HDP CHAINS / 25 HYP OPENED * REASONING A8,B9: 3.. * DIS # B9: 3 # H9: 2,8 => CTR => H9: 5,9 * DIS # B9: 3 + H9: 5,9 # E9: 2,8 => CTR => E9: 1,4,5,9 * DIS # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # E9: 5,9 => CTR => E9: 1,4 * CNT 3 HDP CHAINS / 38 HYP OPENED * REASONING D1,D2: 3.. * DIS # D1: 3 # H1: 7,8 => CTR => H1: 4,9 * CNT 1 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I8,H9: 5.. / I8 = 5 ==> 0 pairs (*) / H9 = 5 => 0 pairs (X) * DURATION: 0:00:18.147484 START: 20:43:51.616480 END: 20:44:09.763964 2017-04-28 * REASONING I8,H9: 5.. * PRF # I8: 5 # D7: 2,6 # F5: 1,7 => SOL * STA # I8: 5 # D7: 2,6 + F5: 1,7 * CNT 1 HDP CHAINS / 11 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
dukdiamond1,coloin 3.2 SK *bb(2)r5c1289 r3c6 r7c4
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I8,H9: 5..:
* INC # I8: 5 # D7: 2,6 => UNS * INC # I8: 5 # E7: 2,6 => UNS * INC # I8: 5 # E8: 2,6 => UNS * INC # I8: 5 # F8: 2,6 => UNS * INC # I8: 5 # G8: 2,6 => UNS * INC # I8: 5 # G8: 3,8 => UNS * INC # I8: 5 # D5: 2,6 => UNS * INC # I8: 5 # D5: 1,7 => UNS * INC # I8: 5 => UNS * INC # H9: 5 # D7: 1,2 => UNS * INC # H9: 5 # E7: 1,2 => UNS * INC # H9: 5 # E9: 1,2 => UNS * INC # H9: 5 # F9: 1,2 => UNS * INC # H9: 5 # C9: 1,2 => UNS * INC # H9: 5 # C9: 4,9 => UNS * INC # H9: 5 # D5: 1,2 => UNS * INC # H9: 5 # D5: 6,7 => UNS * INC # H9: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for E8,E9: 4..:
* INC # E8: 4 # A7: 2,9 => UNS * DIS # E8: 4 # A8: 2,9 => CTR => A8: 3,8 * INC # E8: 4 + A8: 3,8 # C9: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # F8: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # F8: 6,8 => UNS * INC # E8: 4 + A8: 3,8 # C4: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # C4: 1,4,6,7 => UNS * INC # E8: 4 + A8: 3,8 # A7: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # C9: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # F8: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # F8: 6,8 => UNS * INC # E8: 4 + A8: 3,8 # C4: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # C4: 1,4,6,7 => UNS * INC # E8: 4 + A8: 3,8 # B9: 3,8 => UNS * INC # E8: 4 + A8: 3,8 # B9: 1,4,9 => UNS * INC # E8: 4 + A8: 3,8 # G8: 3,8 => UNS * INC # E8: 4 + A8: 3,8 # I8: 3,8 => UNS * INC # E8: 4 + A8: 3,8 # A7: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # C9: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # F8: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # F8: 6,8 => UNS * INC # E8: 4 + A8: 3,8 # C4: 2,9 => UNS * INC # E8: 4 + A8: 3,8 # C4: 1,4,6,7 => UNS * INC # E8: 4 + A8: 3,8 => UNS * INC # E9: 4 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for H1,I2: 4..:
* INC # I2: 4 # C1: 7,9 => UNS * DIS # I2: 4 # A2: 7,9 => CTR => A2: 5,8 * INC # I2: 4 + A2: 5,8 # A3: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # E2: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # F2: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # C4: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # C4: 1,2,4,6 => UNS * INC # I2: 4 + A2: 5,8 # C1: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # A3: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # E2: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # F2: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # C4: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # C4: 1,2,4,6 => UNS * INC # I2: 4 + A2: 5,8 # B1: 5,8 => UNS * INC # I2: 4 + A2: 5,8 # B1: 4,6,9 => UNS * INC # I2: 4 + A2: 5,8 # E2: 5,8 => UNS * INC # I2: 4 + A2: 5,8 # E2: 1,7,9 => UNS * INC # I2: 4 + A2: 5,8 # C1: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # A3: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # E2: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # F2: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # C4: 7,9 => UNS * INC # I2: 4 + A2: 5,8 # C4: 1,2,4,6 => UNS * INC # I2: 4 + A2: 5,8 => UNS * INC # H1: 4 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for A8,B9: 3..:
* INC # B9: 3 # H7: 2,8 => UNS * INC # B9: 3 # G8: 2,8 => UNS * DIS # B9: 3 # H9: 2,8 => CTR => H9: 5,9 * DIS # B9: 3 + H9: 5,9 # E9: 2,8 => CTR => E9: 1,4,5,9 * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 1,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G6: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G6: 1,3,6,7 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # H7: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G8: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 1,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G6: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G6: 1,3,6,7 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # H7: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G8: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # F9: 1,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G6: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # G6: 1,3,6,7 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # I8: 5,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # I8: 3,6,8 => UNS * DIS # B9: 3 + H9: 5,9 + E9: 1,4,5,9 # E9: 5,9 => CTR => E9: 1,4 * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # I8: 5,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # I8: 3,6,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # C9: 1,4 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # C9: 2,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # H7: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # G8: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # F9: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # F9: 1,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # G6: 2,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # G6: 1,3,6,7 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # I8: 5,9 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 # I8: 3,6,8 => UNS * INC # B9: 3 + H9: 5,9 + E9: 1,4,5,9 + E9: 1,4 => UNS * INC # A8: 3 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for D1,D2: 3..:
* DIS # D1: 3 # H1: 7,8 => CTR => H1: 4,9 * INC # D1: 3 + H1: 4,9 # G2: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # H3: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # E1: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # F1: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # G6: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # G6: 1,2,3,6 => UNS * INC # D1: 3 + H1: 4,9 # G2: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # H3: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # E1: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # F1: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # G6: 7,8 => UNS * INC # D1: 3 + H1: 4,9 # G6: 1,2,3,6 => UNS * INC # D1: 3 + H1: 4,9 # I2: 4,9 => UNS * INC # D1: 3 + H1: 4,9 # I2: 1,3,8 => UNS * INC # D1: 3 + H1: 4,9 # B1: 4,9 => UNS * INC # D1: 3 + H1: 4,9 # C1: 4,9 => UNS * INC # D1: 3 + H1: 4,9 => UNS * INC # D2: 3 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for D7,E7: 7..:
* INC # D7: 7 => UNS * INC # E7: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B1,A2: 5..:
* INC # B1: 5 => UNS * INC # A2: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E3,F3: 2..:
* INC # E3: 2 => UNS * INC # F3: 2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I8,H9: 5..:
* INC # I8: 5 # D7: 2,6 => UNS * INC # I8: 5 # E7: 2,6 => UNS * INC # I8: 5 # E8: 2,6 => UNS * INC # I8: 5 # F8: 2,6 => UNS * INC # I8: 5 # G8: 2,6 => UNS * INC # I8: 5 # G8: 3,8 => UNS * INC # I8: 5 # D5: 2,6 => UNS * INC # I8: 5 # D5: 1,7 => UNS * PRF # I8: 5 # D7: 2,6 # F5: 1,7 => SOL * STA # I8: 5 # D7: 2,6 + F5: 1,7 * CNT 9 HDP CHAINS / 11 HYP OPENED