Analysis of xx-ph-01000877-13_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5..4...7...7.8...37..2...9..2...6..5....4....1.....2...9.1....7..5..4.1. initial
Autosolve
position: 98.7..6..5..4...7...7.8...37..2...9..2...6..5....4....1.....2...9.1....7..5..4.1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for H6,I6: 2..:
* DIS # H6: 2 # G5: 3,8 => CTR => G5: 1,4,7 * DIS # H6: 2 + G5: 1,4,7 # C5: 3,8 => CTR => C5: 1,4,9 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 # D5: 3,8 => CTR => D5: 9 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 # A5: 4 => CTR => A5: 3,8 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 # G6: 3,8 => CTR => G6: 1,7 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # G9: 8,9 => CTR => G9: 3 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 + G9: 3 # D7: 5,6 => CTR => D7: 3 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 + G9: 3 + D7: 3 => CTR => H6: 3,6,8 * STA H6: 3,6,8 * CNT 8 HDP CHAINS / 29 HYP OPENED
List of important HDP chains detected for G3,G8: 5..:
* DIS # G3: 5 # G6: 3,8 => CTR => G6: 1,7 * CNT 1 HDP CHAINS / 51 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..5..4...7...7.8...37..2...9..2...6..5....4....1.....2...9.1....7..5..4.1. | initial |
| 98.7..6..5..4...7...7.8...37..2...9..2...6..5....4....1.....2...9.1....7..5..4.1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H6,I6: 2.. / H6 = 2 => 6 pairs (_) / I6 = 2 => 1 pairs (_) A9,E9: 2.. / A9 = 2 => 1 pairs (_) / E9 = 2 => 0 pairs (_) B4,B6: 5.. / B4 = 5 => 1 pairs (_) / B6 = 5 => 0 pairs (_) G3,G8: 5.. / G3 = 5 => 6 pairs (_) / G8 = 5 => 0 pairs (_) E2,D3: 6.. / E2 = 6 => 2 pairs (_) / D3 = 6 => 2 pairs (_) E5,F6: 7.. / E5 = 7 => 0 pairs (_) / F6 = 7 => 0 pairs (_) G5,G6: 7.. / G5 = 7 => 0 pairs (_) / G6 = 7 => 0 pairs (_) B7,B9: 7.. / B7 = 7 => 2 pairs (_) / B9 = 7 => 0 pairs (_) E5,G5: 7.. / E5 = 7 => 0 pairs (_) / G5 = 7 => 0 pairs (_) F6,G6: 7.. / F6 = 7 => 0 pairs (_) / G6 = 7 => 0 pairs (_) B9,E9: 7.. / B9 = 7 => 0 pairs (_) / E9 = 7 => 2 pairs (_) F6,F7: 7.. / F6 = 7 => 0 pairs (_) / F7 = 7 => 0 pairs (_) G2,I2: 8.. / G2 = 8 => 1 pairs (_) / I2 = 8 => 3 pairs (_) C5,C6: 9.. / C5 = 9 => 3 pairs (_) / C6 = 9 => 0 pairs (_) * DURATION: 0:00:08.477794 START: 18:32:16.738953 END: 18:32:25.216747 2021-01-06 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H6,I6: 2.. / H6 = 2 ==> 0 pairs (X) / I6 = 2 => 1 pairs (_) G3,G8: 5.. / G3 = 5 ==> 7 pairs (_) / G8 = 5 ==> 0 pairs (_) G2,I2: 8.. / G2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 3 pairs (_) C5,C6: 9.. / C5 = 9 ==> 3 pairs (_) / C6 = 9 ==> 0 pairs (_) E2,D3: 6.. / E2 = 6 ==> 2 pairs (_) / D3 = 6 ==> 2 pairs (_) B9,E9: 7.. / B9 = 7 ==> 0 pairs (_) / E9 = 7 ==> 2 pairs (_) B7,B9: 7.. / B7 = 7 ==> 2 pairs (_) / B9 = 7 ==> 0 pairs (_) B4,B6: 5.. / B4 = 5 ==> 1 pairs (_) / B6 = 5 ==> 0 pairs (_) A9,E9: 2.. / A9 = 2 ==> 1 pairs (_) / E9 = 2 ==> 0 pairs (_) F6,F7: 7.. / F6 = 7 ==> 0 pairs (_) / F7 = 7 ==> 0 pairs (_) F6,G6: 7.. / F6 = 7 ==> 0 pairs (_) / G6 = 7 ==> 0 pairs (_) E5,G5: 7.. / E5 = 7 ==> 0 pairs (_) / G5 = 7 ==> 0 pairs (_) G5,G6: 7.. / G5 = 7 ==> 0 pairs (_) / G6 = 7 ==> 0 pairs (_) E5,F6: 7.. / E5 = 7 ==> 0 pairs (_) / F6 = 7 ==> 0 pairs (_) * DURATION: 0:01:36.412514 START: 18:32:25.217437 END: 18:34:01.629951 2021-01-06 * REASONING H6,I6: 2.. * DIS # H6: 2 # G5: 3,8 => CTR => G5: 1,4,7 * DIS # H6: 2 + G5: 1,4,7 # C5: 3,8 => CTR => C5: 1,4,9 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 # D5: 3,8 => CTR => D5: 9 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 # A5: 4 => CTR => A5: 3,8 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 # G6: 3,8 => CTR => G6: 1,7 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # G9: 8,9 => CTR => G9: 3 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 + G9: 3 # D7: 5,6 => CTR => D7: 3 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 + G9: 3 + D7: 3 => CTR => H6: 3,6,8 * STA H6: 3,6,8 * CNT 8 HDP CHAINS / 29 HYP OPENED * REASONING G3,G8: 5.. * DIS # G3: 5 # G6: 3,8 => CTR => G6: 1,7 * CNT 1 HDP CHAINS / 51 HYP OPENED * DCP COUNT: (14) * CLUE FOUND
Header Info
1000877;13_07;GP;25;11.30;11.30;10.40
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H6,I6: 2..:
* INC # H6: 2 # I2: 1,2 => UNS * INC # H6: 2 # I2: 8,9 => UNS * INC # H6: 2 # C1: 1,2 => UNS * INC # H6: 2 # E1: 1,2 => UNS * INC # H6: 2 # F1: 1,2 => UNS * INC # H6: 2 # G2: 1,9 => UNS * INC # H6: 2 # I2: 1,9 => UNS * INC # H6: 2 # F3: 1,9 => UNS * INC # H6: 2 # F3: 2,5 => UNS * INC # H6: 2 # G4: 3,8 => UNS * DIS # H6: 2 # G5: 3,8 => CTR => G5: 1,4,7 * INC # H6: 2 + G5: 1,4,7 # G6: 3,8 => UNS * INC # H6: 2 + G5: 1,4,7 # A5: 3,8 => UNS * DIS # H6: 2 + G5: 1,4,7 # C5: 3,8 => CTR => C5: 1,4,9 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 # D5: 3,8 => CTR => D5: 9 * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 # A5: 3,8 => UNS * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 # A5: 4 => CTR => A5: 3,8 * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 # H7: 3,8 => UNS * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 # H8: 3,8 => UNS * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 # G4: 3,8 => UNS * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 # G6: 3,8 => CTR => G6: 1,7 * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # G4: 3,8 => UNS * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # G4: 1,4 => UNS * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # H7: 3,8 => UNS * INC # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # H8: 3,8 => UNS * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 # G9: 8,9 => CTR => G9: 3 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 + G9: 3 # D7: 5,6 => CTR => D7: 3 * DIS # H6: 2 + G5: 1,4,7 + C5: 1,4,9 + D5: 9 + A5: 3,8 + G6: 1,7 + G9: 3 + D7: 3 => CTR => H6: 3,6,8 * INC H6: 3,6,8 # I6: 2 => UNS * STA H6: 3,6,8 * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for G3,G8: 5..:
* INC # G3: 5 # D7: 6,9 => UNS * INC # G3: 5 # D9: 6,9 => UNS * INC # G3: 5 # C1: 2,4 => UNS * INC # G3: 5 # C1: 3 => UNS * INC # G3: 5 # G9: 8,9 => UNS * INC # G3: 5 # G9: 3 => UNS * INC # G3: 5 # I7: 8,9 => UNS * INC # G3: 5 # I9: 8,9 => UNS * INC # G3: 5 # A3: 2,4 => UNS * INC # G3: 5 # A3: 6 => UNS * INC # G3: 5 # G4: 3,8 => UNS * INC # G3: 5 # G5: 3,8 => UNS * DIS # G3: 5 # G6: 3,8 => CTR => G6: 1,7 * INC # G3: 5 + G6: 1,7 # H6: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # A5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # C5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # D5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H7: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H8: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # G4: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # G5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H6: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # A5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # C5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # D5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H7: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H8: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # D7: 6,9 => UNS * INC # G3: 5 + G6: 1,7 # D9: 6,9 => UNS * INC # G3: 5 + G6: 1,7 # C1: 2,4 => UNS * INC # G3: 5 + G6: 1,7 # C1: 3 => UNS * INC # G3: 5 + G6: 1,7 # G9: 8,9 => UNS * INC # G3: 5 + G6: 1,7 # G9: 3 => UNS * INC # G3: 5 + G6: 1,7 # I7: 8,9 => UNS * INC # G3: 5 + G6: 1,7 # I9: 8,9 => UNS * INC # G3: 5 + G6: 1,7 # A3: 2,4 => UNS * INC # G3: 5 + G6: 1,7 # A3: 6 => UNS * INC # G3: 5 + G6: 1,7 # G4: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # G5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H6: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # A5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # C5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # D5: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H7: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # H8: 3,8 => UNS * INC # G3: 5 + G6: 1,7 # G5: 1,7 => UNS * INC # G3: 5 + G6: 1,7 # G5: 3,4,8 => UNS * INC # G3: 5 + G6: 1,7 # F6: 1,7 => UNS * INC # G3: 5 + G6: 1,7 # F6: 3,5,8,9 => UNS * INC # G3: 5 + G6: 1,7 => UNS * INC # G8: 5 => UNS * CNT 51 HDP CHAINS / 51 HYP OPENED
Full list of HDP chains traversed for G2,I2: 8..:
* INC # I2: 8 # G3: 1,9 => UNS * INC # I2: 8 # G3: 4,5 => UNS * INC # I2: 8 # E2: 1,9 => UNS * INC # I2: 8 # F2: 1,9 => UNS * INC # I2: 8 # H7: 3,8 => UNS * INC # I2: 8 # G8: 3,8 => UNS * INC # I2: 8 # H8: 3,8 => UNS * INC # I2: 8 # A9: 3,8 => UNS * INC # I2: 8 # D9: 3,8 => UNS * INC # I2: 8 # G4: 3,8 => UNS * INC # I2: 8 # G5: 3,8 => UNS * INC # I2: 8 # G6: 3,8 => UNS * INC # I2: 8 # I7: 6,9 => UNS * INC # I2: 8 # I7: 4 => UNS * INC # I2: 8 # D9: 6,9 => UNS * INC # I2: 8 # E9: 6,9 => UNS * INC # I2: 8 => UNS * INC # G2: 8 # D9: 3,9 => UNS * INC # G2: 8 # E9: 3,9 => UNS * INC # G2: 8 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C5,C6: 9..:
* INC # C5: 9 # F4: 3,8 => UNS * INC # C5: 9 # D6: 3,8 => UNS * INC # C5: 9 # F6: 3,8 => UNS * INC # C5: 9 # A5: 3,8 => UNS * INC # C5: 9 # H5: 3,8 => UNS * INC # C5: 9 # D7: 3,8 => UNS * INC # C5: 9 # D9: 3,8 => UNS * INC # C5: 9 # F6: 1,7 => UNS * INC # C5: 9 # F6: 3,5,8,9 => UNS * INC # C5: 9 # G6: 1,7 => UNS * INC # C5: 9 # G6: 3,8 => UNS * INC # C5: 9 => UNS * INC # C6: 9 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for E2,D3: 6..:
* INC # E2: 6 # C1: 1,3 => UNS * INC # E2: 6 # C2: 1,3 => UNS * INC # E2: 6 # F2: 1,3 => UNS * INC # E2: 6 # F2: 2,9 => UNS * INC # E2: 6 # B4: 1,3 => UNS * INC # E2: 6 # B6: 1,3 => UNS * INC # E2: 6 # F3: 5,9 => UNS * INC # E2: 6 # F3: 1,2 => UNS * INC # E2: 6 # G3: 5,9 => UNS * INC # E2: 6 # G3: 1,4 => UNS * INC # E2: 6 # D6: 5,9 => UNS * INC # E2: 6 # D7: 5,9 => UNS * INC # E2: 6 => UNS * INC # D3: 6 # C1: 2,4 => UNS * INC # D3: 6 # C1: 1,3 => UNS * INC # D3: 6 # H3: 2,4 => UNS * INC # D3: 6 # H3: 5 => UNS * INC # D3: 6 # A8: 2,4 => UNS * INC # D3: 6 # A8: 3,6,8 => UNS * INC # D3: 6 # C1: 1,4 => UNS * INC # D3: 6 # C1: 2,3 => UNS * INC # D3: 6 # G3: 1,4 => UNS * INC # D3: 6 # G3: 5,9 => UNS * INC # D3: 6 # B4: 1,4 => UNS * INC # D3: 6 # B4: 3,5,6 => UNS * INC # D3: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for B9,E9: 7..:
* INC # E9: 7 # B3: 4,6 => UNS * INC # E9: 7 # B3: 1 => UNS * INC # E9: 7 # A8: 4,6 => UNS * INC # E9: 7 # A8: 3,8 => UNS * INC # E9: 7 # C7: 3,6 => UNS * INC # E9: 7 # A8: 3,6 => UNS * INC # E9: 7 # C8: 3,6 => UNS * INC # E9: 7 # D9: 3,6 => UNS * INC # E9: 7 # D9: 8,9 => UNS * INC # E9: 7 # B2: 3,6 => UNS * INC # E9: 7 # B4: 3,6 => UNS * INC # E9: 7 # B6: 3,6 => UNS * INC # E9: 7 => UNS * INC # B9: 7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B7,B9: 7..:
* INC # B7: 7 # B3: 4,6 => UNS * INC # B7: 7 # B3: 1 => UNS * INC # B7: 7 # A8: 4,6 => UNS * INC # B7: 7 # A8: 3,8 => UNS * INC # B7: 7 # C7: 3,6 => UNS * INC # B7: 7 # A8: 3,6 => UNS * INC # B7: 7 # C8: 3,6 => UNS * INC # B7: 7 # D9: 3,6 => UNS * INC # B7: 7 # D9: 8,9 => UNS * INC # B7: 7 # B2: 3,6 => UNS * INC # B7: 7 # B4: 3,6 => UNS * INC # B7: 7 # B6: 3,6 => UNS * INC # B7: 7 => UNS * INC # B9: 7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B4,B6: 5..:
* INC # B4: 5 # F4: 1,3 => UNS * INC # B4: 5 # E5: 1,3 => UNS * INC # B4: 5 # F6: 1,3 => UNS * INC # B4: 5 # C4: 1,3 => UNS * INC # B4: 5 # G4: 1,3 => UNS * INC # B4: 5 # E1: 1,3 => UNS * INC # B4: 5 # E2: 1,3 => UNS * INC # B4: 5 => UNS * INC # B6: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A9,E9: 2..:
* INC # A9: 2 # B3: 4,6 => UNS * INC # A9: 2 # B3: 1 => UNS * INC # A9: 2 # A8: 4,6 => UNS * INC # A9: 2 # A8: 3,8 => UNS * INC # A9: 2 => UNS * INC # E9: 2 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for F6,F7: 7..:
* INC # F6: 7 => UNS * INC # F7: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F6,G6: 7..:
* INC # F6: 7 => UNS * INC # G6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E5,G5: 7..:
* INC # E5: 7 => UNS * INC # G5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G5,G6: 7..:
* INC # G5: 7 => UNS * INC # G6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E5,F6: 7..:
* INC # E5: 7 => UNS * INC # F6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED