Analysis of xx-ph-00975432-13_03-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..7.5........4.9....8.....4...4.....63..64...7..7.8..3...6.3..7.......2.1. initial
Autosolve
position: 98.7..6..7.5......6.4.9...78.....4...4.....63..64...7..7.8..3...6.3..7......72.1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for A6,A9: 3..:
* DIS # A9: 3 # E2: 1,2 => CTR => E2: 3,4,6,8 * CNT 1 HDP CHAINS / 44 HYP OPENED
List of important HDP chains detected for A9,I9: 4..:
* DIS # I9: 4 # E2: 1,2 => CTR => E2: 3,4,6,8 * CNT 1 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:39.581396
List of important HDP chains detected for A6,A9: 3..:
* DIS # A9: 3 # E2: 1,2 => CTR => E2: 3,4,6,8 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 # I1: 5 => CTR => I1: 1,2 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 3,5,6 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 # E5: 1,2 => CTR => E5: 5,8 * PRF # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 # E6: 3,5,8 => SOL * STA # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 + E6: 3,5,8 * CNT 6 HDP CHAINS / 49 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..7.5........4.9....8.....4...4.....63..64...7..7.8..3...6.3..7.......2.1. | initial |
| 98.7..6..7.5......6.4.9...78.....4...4.....63..64...7..7.8..3...6.3..7......72.1. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A6,A9: 3.. / A6 = 3 => 1 pairs (_) / A9 = 3 => 3 pairs (_) A9,I9: 4.. / A9 = 4 => 0 pairs (_) / I9 = 4 => 2 pairs (_) I7,I9: 6.. / I7 = 6 => 1 pairs (_) / I9 = 6 => 1 pairs (_) D9,I9: 6.. / D9 = 6 => 1 pairs (_) / I9 = 6 => 1 pairs (_) C4,C5: 7.. / C4 = 7 => 0 pairs (_) / C5 = 7 => 0 pairs (_) F4,F5: 7.. / F4 = 7 => 0 pairs (_) / F5 = 7 => 0 pairs (_) C4,F4: 7.. / C4 = 7 => 0 pairs (_) / F4 = 7 => 0 pairs (_) C5,F5: 7.. / C5 = 7 => 0 pairs (_) / F5 = 7 => 0 pairs (_) C8,C9: 8.. / C8 = 8 => 1 pairs (_) / C9 = 8 => 1 pairs (_) * DURATION: 0:00:06.136683 START: 10:51:42.651028 END: 10:51:48.787711 2021-01-05 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A6,A9: 3.. / A6 = 3 ==> 1 pairs (_) / A9 = 3 ==> 3 pairs (_) A9,I9: 4.. / A9 = 4 ==> 0 pairs (_) / I9 = 4 ==> 2 pairs (_) C8,C9: 8.. / C8 = 8 ==> 1 pairs (_) / C9 = 8 ==> 1 pairs (_) D9,I9: 6.. / D9 = 6 ==> 1 pairs (_) / I9 = 6 ==> 1 pairs (_) I7,I9: 6.. / I7 = 6 ==> 1 pairs (_) / I9 = 6 ==> 1 pairs (_) C5,F5: 7.. / C5 = 7 ==> 0 pairs (_) / F5 = 7 ==> 0 pairs (_) C4,F4: 7.. / C4 = 7 ==> 0 pairs (_) / F4 = 7 ==> 0 pairs (_) F4,F5: 7.. / F4 = 7 ==> 0 pairs (_) / F5 = 7 ==> 0 pairs (_) C4,C5: 7.. / C4 = 7 ==> 0 pairs (_) / C5 = 7 ==> 0 pairs (_) * DURATION: 0:01:03.523841 START: 10:51:48.788292 END: 10:52:52.312133 2021-01-05 * REASONING A6,A9: 3.. * DIS # A9: 3 # E2: 1,2 => CTR => E2: 3,4,6,8 * CNT 1 HDP CHAINS / 44 HYP OPENED * REASONING A9,I9: 4.. * DIS # I9: 4 # E2: 1,2 => CTR => E2: 3,4,6,8 * CNT 1 HDP CHAINS / 32 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A6,A9: 3.. / A6 = 3 => 0 pairs (X) / A9 = 3 ==> 0 pairs (*) * DURATION: 0:00:39.579258 START: 10:52:52.433414 END: 10:53:32.012672 2021-01-05 * REASONING A6,A9: 3.. * DIS # A9: 3 # E2: 1,2 => CTR => E2: 3,4,6,8 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 # I1: 5 => CTR => I1: 1,2 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 3,5,6 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 # E5: 1,2 => CTR => E5: 5,8 * PRF # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 # E6: 3,5,8 => SOL * STA # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 + E6: 3,5,8 * CNT 6 HDP CHAINS / 49 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
975432;13_03;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A6,A9: 3..:
* INC # A9: 3 # E1: 1,2 => UNS * DIS # A9: 3 # E2: 1,2 => CTR => E2: 3,4,6,8 * INC # A9: 3 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B4: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B6: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5 => UNS * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B4: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B6: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5 => UNS * INC # A9: 3 + E2: 3,4,6,8 => UNS * INC # A6: 3 # A7: 4,5 => UNS * INC # A6: 3 # A8: 4,5 => UNS * INC # A6: 3 # I9: 4,5 => UNS * INC # A6: 3 # I9: 6,8,9 => UNS * INC # A6: 3 => UNS * CNT 44 HDP CHAINS / 44 HYP OPENED
Full list of HDP chains traversed for A9,I9: 4..:
* INC # I9: 4 # E1: 1,2 => UNS * DIS # I9: 4 # E2: 1,2 => CTR => E2: 3,4,6,8 * INC # I9: 4 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # E1: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B9: 3,5 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B9: 9 => UNS * INC # I9: 4 + E2: 3,4,6,8 # A6: 3,5 => UNS * INC # I9: 4 + E2: 3,4,6,8 # A6: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # E1: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B9: 3,5 => UNS * INC # I9: 4 + E2: 3,4,6,8 # B9: 9 => UNS * INC # I9: 4 + E2: 3,4,6,8 # A6: 3,5 => UNS * INC # I9: 4 + E2: 3,4,6,8 # A6: 1,2 => UNS * INC # I9: 4 + E2: 3,4,6,8 => UNS * INC # A9: 4 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for C8,C9: 8..:
* INC # C8: 8 # B9: 3,9 => UNS * INC # C8: 8 # B9: 5 => UNS * INC # C8: 8 # C4: 3,9 => UNS * INC # C8: 8 # C4: 1,2,7 => UNS * INC # C8: 8 => UNS * INC # C9: 8 # H7: 5,9 => UNS * INC # C9: 8 # I7: 5,9 => UNS * INC # C9: 8 # H8: 5,9 => UNS * INC # C9: 8 # I8: 5,9 => UNS * INC # C9: 8 # I9: 5,9 => UNS * INC # C9: 8 # B9: 5,9 => UNS * INC # C9: 8 # D9: 5,9 => UNS * INC # C9: 8 # G5: 5,9 => UNS * INC # C9: 8 # G6: 5,9 => UNS * INC # C9: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D9,I9: 6..:
* INC # D9: 6 # E1: 1,2 => UNS * INC # D9: 6 # E2: 1,2 => UNS * INC # D9: 6 # D3: 1,2 => UNS * INC # D9: 6 # B2: 1,2 => UNS * INC # D9: 6 # G2: 1,2 => UNS * INC # D9: 6 # I2: 1,2 => UNS * INC # D9: 6 # D4: 1,2 => UNS * INC # D9: 6 # D5: 1,2 => UNS * INC # D9: 6 => UNS * INC # I9: 6 # F7: 5,9 => UNS * INC # I9: 6 # F8: 5,9 => UNS * INC # I9: 6 # B9: 5,9 => UNS * INC # I9: 6 # G9: 5,9 => UNS * INC # I9: 6 # D4: 5,9 => UNS * INC # I9: 6 # D5: 5,9 => UNS * INC # I9: 6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for I7,I9: 6..:
* INC # I7: 6 # E1: 1,2 => UNS * INC # I7: 6 # E2: 1,2 => UNS * INC # I7: 6 # D3: 1,2 => UNS * INC # I7: 6 # B2: 1,2 => UNS * INC # I7: 6 # G2: 1,2 => UNS * INC # I7: 6 # I2: 1,2 => UNS * INC # I7: 6 # D4: 1,2 => UNS * INC # I7: 6 # D5: 1,2 => UNS * INC # I7: 6 => UNS * INC # I9: 6 # F7: 5,9 => UNS * INC # I9: 6 # F8: 5,9 => UNS * INC # I9: 6 # B9: 5,9 => UNS * INC # I9: 6 # G9: 5,9 => UNS * INC # I9: 6 # D4: 5,9 => UNS * INC # I9: 6 # D5: 5,9 => UNS * INC # I9: 6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C5,F5: 7..:
* INC # C5: 7 => UNS * INC # F5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,F4: 7..:
* INC # C4: 7 => UNS * INC # F4: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F4,F5: 7..:
* INC # F4: 7 => UNS * INC # F5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,C5: 7..:
* INC # C4: 7 => UNS * INC # C5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A6,A9: 3..:
* INC # A9: 3 # E1: 1,2 => UNS * DIS # A9: 3 # E2: 1,2 => CTR => E2: 3,4,6,8 * INC # A9: 3 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B4: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B6: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5 => UNS * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D3: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # I2: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D4: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # D5: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B4: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # B6: 5,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # C8: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 8,9 => UNS * INC # A9: 3 + E2: 3,4,6,8 # G9: 5 => UNS * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3 * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 # I1: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 # I1: 1,2 => UNS * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 # I1: 5 => CTR => I1: 1,2 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 3,5,6 * DIS # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 # E5: 1,2 => CTR => E5: 5,8 * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 # E6: 1,2 => UNS * INC # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 # E6: 1,2 => UNS * PRF # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 # E6: 3,5,8 => SOL * STA # A9: 3 + E2: 3,4,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 3,5,6 + E5: 5,8 + E6: 3,5,8 * CNT 47 HDP CHAINS / 49 HYP OPENED