Analysis of xx-ph-01091377-13_09-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7..6..5......84...6..5..9...9..3..6.........21......5..7.1...9..69.7.1.. initial
Autosolve
position: 98.7..6..7..6..5....6.84...6..5..9...9..3..65........21......5..7.1...9..69.7.1.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for E1,E8: 5..:
* DIS # E8: 5 # H3: 2,3 => CTR => H3: 1,7 * DIS # E8: 5 + H3: 1,7 # F2: 1,2 => CTR => F2: 3,9 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 # E2: 9 => CTR => E2: 1,2 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 # H2: 3,4 => CTR => H2: 2,8 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 # I2: 3,4 => CTR => I2: 8,9 * PRF # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 # H1: 2 => SOL * STA # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 + H1: 2 * CNT 6 HDP CHAINS / 27 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..6..5......84...6..5..9...9..3..6.........21......5..7.1...9..69.7.1.. | initial |
| 98.7..6..7..6..5....6.84...6..5..9...9..3..65........21......5..7.1...9..69.7.1.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C5,F5: 1.. / C5 = 1 => 0 pairs (_) / F5 = 1 => 1 pairs (_) A3,B3: 5.. / A3 = 5 => 0 pairs (_) / B3 = 5 => 2 pairs (_) E1,F1: 5.. / E1 = 5 => 0 pairs (_) / F1 = 5 => 3 pairs (_) A9,F9: 5.. / A9 = 5 => 2 pairs (_) / F9 = 5 => 0 pairs (_) B3,B6: 5.. / B3 = 5 => 2 pairs (_) / B6 = 5 => 0 pairs (_) C6,C8: 5.. / C6 = 5 => 2 pairs (_) / C8 = 5 => 0 pairs (_) E1,E8: 5.. / E1 = 5 => 0 pairs (_) / E8 = 5 => 3 pairs (_) E6,F6: 6.. / E6 = 6 => 0 pairs (_) / F6 = 6 => 0 pairs (_) I7,I8: 6.. / I7 = 6 => 4 pairs (_) / I8 = 6 => 0 pairs (_) G7,I7: 7.. / G7 = 7 => 4 pairs (_) / I7 = 7 => 0 pairs (_) H2,I2: 8.. / H2 = 8 => 0 pairs (_) / I2 = 8 => 2 pairs (_) I2,I3: 9.. / I2 = 9 => 4 pairs (_) / I3 = 9 => 1 pairs (_) D3,I3: 9.. / D3 = 9 => 4 pairs (_) / I3 = 9 => 1 pairs (_) * DURATION: 0:00:10.138368 START: 19:38:12.137156 END: 19:38:22.275524 2020-10-22 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D3,I3: 9.. / D3 = 9 ==> 4 pairs (_) / I3 = 9 ==> 1 pairs (_) I2,I3: 9.. / I2 = 9 ==> 4 pairs (_) / I3 = 9 ==> 1 pairs (_) G7,I7: 7.. / G7 = 7 ==> 4 pairs (_) / I7 = 7 ==> 0 pairs (_) I7,I8: 6.. / I7 = 6 ==> 4 pairs (_) / I8 = 6 ==> 0 pairs (_) E1,E8: 5.. / E1 = 5 => 0 pairs (X) / E8 = 5 ==> 0 pairs (*) * DURATION: 0:01:24.809671 START: 19:38:22.276251 END: 19:39:47.085922 2020-10-22 * REASONING E1,E8: 5.. * DIS # E8: 5 # H3: 2,3 => CTR => H3: 1,7 * DIS # E8: 5 + H3: 1,7 # F2: 1,2 => CTR => F2: 3,9 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 # E2: 9 => CTR => E2: 1,2 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 # H2: 3,4 => CTR => H2: 2,8 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 # I2: 3,4 => CTR => I2: 8,9 * PRF # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 # H1: 2 => SOL * STA # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 + H1: 2 * CNT 6 HDP CHAINS / 27 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
1091377;13_09;GP;25;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D3,I3: 9..:
* INC # D3: 9 # E1: 1,2 => UNS * INC # D3: 9 # F1: 1,2 => UNS * INC # D3: 9 # F2: 1,2 => UNS * INC # D3: 9 # B2: 1,2 => UNS * INC # D3: 9 # C2: 1,2 => UNS * INC # D3: 9 # E4: 1,2 => UNS * INC # D3: 9 # E4: 4 => UNS * INC # D3: 9 # D5: 4,8 => UNS * INC # D3: 9 # D5: 2 => UNS * INC # D3: 9 # A6: 4,8 => UNS * INC # D3: 9 # C6: 4,8 => UNS * INC # D3: 9 # G6: 4,8 => UNS * INC # D3: 9 # D7: 4,8 => UNS * INC # D3: 9 # D9: 4,8 => UNS * INC # D3: 9 # E7: 6,9 => UNS * INC # D3: 9 # E7: 2,4 => UNS * INC # D3: 9 # F7: 6,9 => UNS * INC # D3: 9 # F7: 2,8 => UNS * INC # D3: 9 => UNS * INC # I3: 9 # F1: 2,3 => UNS * INC # I3: 9 # F2: 2,3 => UNS * INC # I3: 9 # A3: 2,3 => UNS * INC # I3: 9 # B3: 2,3 => UNS * INC # I3: 9 # G3: 2,3 => UNS * INC # I3: 9 # H3: 2,3 => UNS * INC # I3: 9 # D7: 2,3 => UNS * INC # I3: 9 # D9: 2,3 => UNS * INC # I3: 9 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for I2,I3: 9..:
* INC # I2: 9 # E1: 1,2 => UNS * INC # I2: 9 # F1: 1,2 => UNS * INC # I2: 9 # F2: 1,2 => UNS * INC # I2: 9 # B2: 1,2 => UNS * INC # I2: 9 # C2: 1,2 => UNS * INC # I2: 9 # E4: 1,2 => UNS * INC # I2: 9 # E4: 4 => UNS * INC # I2: 9 # D5: 4,8 => UNS * INC # I2: 9 # D5: 2 => UNS * INC # I2: 9 # A6: 4,8 => UNS * INC # I2: 9 # C6: 4,8 => UNS * INC # I2: 9 # G6: 4,8 => UNS * INC # I2: 9 # D7: 4,8 => UNS * INC # I2: 9 # D9: 4,8 => UNS * INC # I2: 9 # E7: 6,9 => UNS * INC # I2: 9 # E7: 2,4 => UNS * INC # I2: 9 # F7: 6,9 => UNS * INC # I2: 9 # F7: 2,8 => UNS * INC # I2: 9 => UNS * INC # I3: 9 # F1: 2,3 => UNS * INC # I3: 9 # F2: 2,3 => UNS * INC # I3: 9 # A3: 2,3 => UNS * INC # I3: 9 # B3: 2,3 => UNS * INC # I3: 9 # G3: 2,3 => UNS * INC # I3: 9 # H3: 2,3 => UNS * INC # I3: 9 # D7: 2,3 => UNS * INC # I3: 9 # D9: 2,3 => UNS * INC # I3: 9 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for G7,I7: 7..:
* INC # G7: 7 # H1: 2,3 => UNS * INC # G7: 7 # H2: 2,3 => UNS * INC # G7: 7 # H3: 2,3 => UNS * INC # G7: 7 # A3: 2,3 => UNS * INC # G7: 7 # B3: 2,3 => UNS * INC # G7: 7 # D3: 2,3 => UNS * INC # G7: 7 # G8: 2,3 => UNS * INC # G7: 7 # G8: 4,8 => UNS * INC # G7: 7 # C4: 1,7 => UNS * INC # G7: 7 # C6: 1,7 => UNS * INC # G7: 7 # F4: 1,7 => UNS * INC # G7: 7 # F6: 1,7 => UNS * INC # G7: 7 # H4: 4,8 => UNS * INC # G7: 7 # I4: 4,8 => UNS * INC # G7: 7 # G6: 4,8 => UNS * INC # G7: 7 # H6: 4,8 => UNS * INC # G7: 7 # A5: 4,8 => UNS * INC # G7: 7 # D5: 4,8 => UNS * INC # G7: 7 # G8: 4,8 => UNS * INC # G7: 7 # G8: 2,3 => UNS * INC # G7: 7 => UNS * INC # I7: 7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for I7,I8: 6..:
* INC # I7: 6 # H1: 2,3 => UNS * INC # I7: 6 # H2: 2,3 => UNS * INC # I7: 6 # H3: 2,3 => UNS * INC # I7: 6 # A3: 2,3 => UNS * INC # I7: 6 # B3: 2,3 => UNS * INC # I7: 6 # D3: 2,3 => UNS * INC # I7: 6 # G8: 2,3 => UNS * INC # I7: 6 # G8: 4,8 => UNS * INC # I7: 6 # C4: 1,7 => UNS * INC # I7: 6 # C6: 1,7 => UNS * INC # I7: 6 # F4: 1,7 => UNS * INC # I7: 6 # F6: 1,7 => UNS * INC # I7: 6 # H4: 4,8 => UNS * INC # I7: 6 # I4: 4,8 => UNS * INC # I7: 6 # G6: 4,8 => UNS * INC # I7: 6 # H6: 4,8 => UNS * INC # I7: 6 # A5: 4,8 => UNS * INC # I7: 6 # D5: 4,8 => UNS * INC # I7: 6 # G8: 4,8 => UNS * INC # I7: 6 # G8: 2,3 => UNS * INC # I7: 6 => UNS * INC # I8: 6 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for E1,E8: 5..:
* INC # E8: 5 # C1: 2,3 => UNS * INC # E8: 5 # B2: 2,3 => UNS * INC # E8: 5 # C2: 2,3 => UNS * INC # E8: 5 # D3: 2,3 => UNS * INC # E8: 5 # G3: 2,3 => UNS * DIS # E8: 5 # H3: 2,3 => CTR => H3: 1,7 * INC # E8: 5 + H3: 1,7 # A8: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # A8: 4,8 => UNS * INC # E8: 5 + H3: 1,7 # C1: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # B2: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # C2: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # D3: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # G3: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # A8: 2,3 => UNS * INC # E8: 5 + H3: 1,7 # A8: 4,8 => UNS * INC # E8: 5 + H3: 1,7 # E2: 1,2 => UNS * DIS # E8: 5 + H3: 1,7 # F2: 1,2 => CTR => F2: 3,9 * INC # E8: 5 + H3: 1,7 + F2: 3,9 # E2: 1,2 => UNS * DIS # E8: 5 + H3: 1,7 + F2: 3,9 # E2: 9 => CTR => E2: 1,2 * INC # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 # C1: 1,2 => UNS * INC # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 # C1: 3,4 => UNS * INC # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 # H1: 3,4 => UNS * DIS # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 # H2: 3,4 => CTR => H2: 2,8 * DIS # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 # I2: 3,4 => CTR => I2: 8,9 * INC # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 # H1: 3,4 => UNS * PRF # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 # H1: 2 => SOL * STA # E8: 5 + H3: 1,7 + F2: 3,9 + E2: 1,2 + H2: 2,8 + I2: 8,9 + H1: 2 * CNT 26 HDP CHAINS / 27 HYP OPENED