Analysis of xx-ph-00033284-2012_04-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.7...8......5.....4.....3...85..7.......2..1..68..9......3...4.....1.2. initial
Autosolve
position: 98.7.....6.7...8......58....4.....3...85..7.......2..1..68..9......3...4.....1.2. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for F5,D6: 3..:
* DIS # F5: 3 # E1: 4,6 => CTR => E1: 1,2 * DIS # F5: 3 + E1: 1,2 # D3: 4,6 => CTR => D3: 1,2,3,9 * DIS # F5: 3 + E1: 1,2 + D3: 1,2,3,9 # D2: 4,9 => CTR => D2: 1,2,3 * CNT 3 HDP CHAINS / 42 HYP OPENED
List of important HDP chains detected for B5,B6: 6..:
* DIS # B5: 6 # H6: 4,9 => CTR => H6: 5,6,8 * DIS # B5: 6 + H6: 5,6,8 # I4: 2,9 => CTR => I4: 5,6,8 * CNT 2 HDP CHAINS / 24 HYP OPENED
List of important HDP chains detected for E7,D8: 2..:
* PRF # E7: 2 # D4: 6,9 => SOL * STA # E7: 2 + D4: 6,9 * CNT 1 HDP CHAINS / 6 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.....4.....3...85..7.......2..1..68..9......3...4.....1.2. | initial |
| 98.7.....6.7...8......58....4.....3...85..7.......2..1..68..9......3...4.....1.2. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E7,D8: 2.. / E7 = 2 => 1 pairs (_) / D8 = 2 => 1 pairs (_) F5,D6: 3.. / F5 = 3 => 3 pairs (_) / D6 = 3 => 2 pairs (_) C1,B2: 5.. / C1 = 5 => 1 pairs (_) / B2 = 5 => 0 pairs (_) F7,F8: 5.. / F7 = 5 => 2 pairs (_) / F8 = 5 => 2 pairs (_) B5,B6: 6.. / B5 = 6 => 2 pairs (_) / B6 = 6 => 1 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) E4,E6: 8.. / E4 = 8 => 0 pairs (_) / E6 = 8 => 0 pairs (_) I4,H6: 8.. / I4 = 8 => 0 pairs (_) / H6 = 8 => 0 pairs (_) A8,A9: 8.. / A8 = 8 => 0 pairs (_) / A9 = 8 => 0 pairs (_) H8,I9: 8.. / H8 = 8 => 0 pairs (_) / I9 = 8 => 0 pairs (_) E4,I4: 8.. / E4 = 8 => 0 pairs (_) / I4 = 8 => 0 pairs (_) E6,H6: 8.. / E6 = 8 => 0 pairs (_) / H6 = 8 => 0 pairs (_) A8,H8: 8.. / A8 = 8 => 0 pairs (_) / H8 = 8 => 0 pairs (_) A9,I9: 8.. / A9 = 8 => 0 pairs (_) / I9 = 8 => 0 pairs (_) H6,H8: 8.. / H6 = 8 => 0 pairs (_) / H8 = 8 => 0 pairs (_) I4,I9: 8.. / I4 = 8 => 0 pairs (_) / I9 = 8 => 0 pairs (_) * DURATION: 0:00:09.739340 START: 12:45:11.892088 END: 12:45:21.631428 2020-12-12 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F5,D6: 3.. / F5 = 3 ==> 4 pairs (_) / D6 = 3 ==> 2 pairs (_) F7,F8: 5.. / F7 = 5 ==> 2 pairs (_) / F8 = 5 ==> 2 pairs (_) B5,B6: 6.. / B5 = 6 ==> 4 pairs (_) / B6 = 6 ==> 1 pairs (_) H3,I3: 7.. / H3 = 7 ==> 1 pairs (_) / I3 = 7 ==> 1 pairs (_) E7,D8: 2.. / E7 = 2 ==> 0 pairs (*) / D8 = 2 => 0 pairs (X) * DURATION: 0:00:58.919410 START: 12:45:21.631990 END: 12:46:20.551400 2020-12-12 * REASONING F5,D6: 3.. * DIS # F5: 3 # E1: 4,6 => CTR => E1: 1,2 * DIS # F5: 3 + E1: 1,2 # D3: 4,6 => CTR => D3: 1,2,3,9 * DIS # F5: 3 + E1: 1,2 + D3: 1,2,3,9 # D2: 4,9 => CTR => D2: 1,2,3 * CNT 3 HDP CHAINS / 42 HYP OPENED * REASONING B5,B6: 6.. * DIS # B5: 6 # H6: 4,9 => CTR => H6: 5,6,8 * DIS # B5: 6 + H6: 5,6,8 # I4: 2,9 => CTR => I4: 5,6,8 * CNT 2 HDP CHAINS / 24 HYP OPENED * REASONING E7,D8: 2.. * PRF # E7: 2 # D4: 6,9 => SOL * STA # E7: 2 + D4: 6,9 * CNT 1 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
33284;2012_04;GP;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F5,D6: 3..:
* DIS # F5: 3 # E1: 4,6 => CTR => E1: 1,2 * DIS # F5: 3 + E1: 1,2 # D3: 4,6 => CTR => D3: 1,2,3,9 * DIS # F5: 3 + E1: 1,2 + D3: 1,2,3,9 # D2: 4,9 => CTR => D2: 1,2,3 * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E2: 4,9 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E2: 4,9 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E2: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A4: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # C4: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # B5: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A3: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A7: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A8: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # D2: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E2: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # D3: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # C1: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # G1: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E2: 4,9 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E2: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A4: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # C4: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # B5: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A3: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A7: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # A8: 1,2 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E4: 7,9 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # E6: 7,9 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # F8: 7,9 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 # F8: 5 => UNS * INC # F5: 3 + E1: 1,2 + D3: 1,2,3,9 + D2: 1,2,3 => UNS * INC # D6: 3 # A4: 5,7 => UNS * INC # D6: 3 # B6: 5,7 => UNS * INC # D6: 3 # A7: 5,7 => UNS * INC # D6: 3 # A8: 5,7 => UNS * INC # D6: 3 # A9: 5,7 => UNS * INC # D6: 3 # C4: 5,9 => UNS * INC # D6: 3 # B6: 5,9 => UNS * INC # D6: 3 # H6: 5,9 => UNS * INC # D6: 3 # H6: 4,6,8 => UNS * INC # D6: 3 # C8: 5,9 => UNS * INC # D6: 3 # C9: 5,9 => UNS * INC # D6: 3 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for F7,F8: 5..:
* INC # F7: 5 # H8: 1,7 => UNS * INC # F7: 5 # H8: 5,6,8 => UNS * INC # F7: 5 # A7: 1,7 => UNS * INC # F7: 5 # B7: 1,7 => UNS * INC # F7: 5 # H3: 1,7 => UNS * INC # F7: 5 # H3: 4,6,9 => UNS * INC # F7: 5 # I9: 3,7 => UNS * INC # F7: 5 # I9: 5,6,8 => UNS * INC # F7: 5 # A7: 3,7 => UNS * INC # F7: 5 # B7: 3,7 => UNS * INC # F7: 5 # I3: 3,7 => UNS * INC # F7: 5 # I3: 2,6,9 => UNS * INC # F7: 5 => UNS * INC # F8: 5 # E7: 4,7 => UNS * INC # F8: 5 # E9: 4,7 => UNS * INC # F8: 5 # A7: 4,7 => UNS * INC # F8: 5 # A7: 1,2,3,5 => UNS * INC # F8: 5 # H8: 1,6 => UNS * INC # F8: 5 # H8: 7,8 => UNS * INC # F8: 5 # G1: 1,6 => UNS * INC # F8: 5 # G3: 1,6 => UNS * INC # F8: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for B5,B6: 6..:
* DIS # B5: 6 # H6: 4,9 => CTR => H6: 5,6,8 * INC # B5: 6 + H6: 5,6,8 # E5: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 # F5: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 # H2: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 # H3: 4,9 => UNS * DIS # B5: 6 + H6: 5,6,8 # I4: 2,9 => CTR => I4: 5,6,8 * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # I2: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # I3: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # E1: 1,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # E2: 1,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # D6: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # D6: 6,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # F1: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # F2: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # H2: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # H3: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # I2: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # I3: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 => UNS * INC # B6: 6 # H6: 4,5 => UNS * INC # B6: 6 # H6: 8,9 => UNS * INC # B6: 6 # G1: 4,5 => UNS * INC # B6: 6 # G1: 1,2,3,6 => UNS * INC # B6: 6 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 # G8: 1,5 => UNS * INC # H3: 7 # H8: 1,5 => UNS * INC # H3: 7 # A7: 1,5 => UNS * INC # H3: 7 # B7: 1,5 => UNS * INC # H3: 7 # H1: 1,5 => UNS * INC # H3: 7 # H2: 1,5 => UNS * INC # H3: 7 => UNS * INC # I3: 7 # G9: 3,5 => UNS * INC # I3: 7 # I9: 3,5 => UNS * INC # I3: 7 # A7: 3,5 => UNS * INC # I3: 7 # B7: 3,5 => UNS * INC # I3: 7 # I1: 3,5 => UNS * INC # I3: 7 # I2: 3,5 => UNS * INC # I3: 7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E7,D8: 2..:
* INC # E7: 2 # F8: 6,9 => UNS * INC # E7: 2 # D9: 6,9 => UNS * INC # E7: 2 # E9: 6,9 => UNS * INC # E7: 2 # D3: 6,9 => UNS * PRF # E7: 2 # D4: 6,9 => SOL * STA # E7: 2 + D4: 6,9 * CNT 5 HDP CHAINS / 6 HYP OPENED