Analysis of xx-ph-00053931-12_10-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...4......3..8.9.4...7.8...6......2..7..1....5..8.4.....2...1......7..3 initial
Autosolve
position: 98.7..6..5...4......3..8.9.4...7.8...6......2..7..1....5..8.4.....2...1......7..3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for G5,H5: 7..:
* DIS # G5: 7 # H1: 4,5 => CTR => H1: 2,3 * DIS # G5: 7 + H1: 2,3 # I3: 7 => CTR => I3: 4,5 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 # G9: 5,9 => CTR => G9: 2 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 # C9: 1,4 => CTR => C9: 6,8,9 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 # E1: 3,5 => CTR => E1: 1 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 # E3: 5,6 => CTR => E3: 2 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 # E8: 5,9 => CTR => E8: 3,6 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 + E8: 3,6 # E9: 5,6 => CTR => E9: 9 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 + E8: 3,6 + E9: 9 => CTR => G5: 1,3,5,9 * STA G5: 1,3,5,9 * CNT 9 HDP CHAINS / 22 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......3..8.9.4...7.8...6......2..7..1....5..8.4.....2...1......7..3 | initial |
| 98.7..6..5...4......3..8.9.4...7.8...6......2..7..1....5..8.4.....2...1......7..3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,G5: 1.. / I4 = 1 => 2 pairs (_) / G5 = 1 => 2 pairs (_) F4,E6: 2.. / F4 = 2 => 1 pairs (_) / E6 = 2 => 2 pairs (_) C1,B3: 4.. / C1 = 4 => 1 pairs (_) / B3 = 4 => 1 pairs (_) F8,D9: 4.. / F8 = 4 => 2 pairs (_) / D9 = 4 => 0 pairs (_) B3,I3: 4.. / B3 = 4 => 1 pairs (_) / I3 = 4 => 1 pairs (_) F5,F8: 4.. / F5 = 4 => 0 pairs (_) / F8 = 4 => 2 pairs (_) C4,C5: 5.. / C4 = 5 => 1 pairs (_) / C5 = 5 => 1 pairs (_) C2,A3: 6.. / C2 = 6 => 0 pairs (_) / A3 = 6 => 4 pairs (_) G5,H5: 7.. / G5 = 7 => 4 pairs (_) / H5 = 7 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 0 pairs (_) D5,D6: 8.. / D5 = 8 => 1 pairs (_) / D6 = 8 => 1 pairs (_) I8,H9: 8.. / I8 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) A6,D6: 8.. / A6 = 8 => 1 pairs (_) / D6 = 8 => 1 pairs (_) H2,H9: 8.. / H2 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) I2,I8: 8.. / I2 = 8 => 0 pairs (_) / I8 = 8 => 1 pairs (_) D2,F2: 9.. / D2 = 9 => 0 pairs (_) / F2 = 9 => 1 pairs (_) * DURATION: 0:00:09.355070 START: 17:08:47.992420 END: 17:08:57.347490 2020-12-20 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G5,H5: 7.. / G5 = 7 ==> 0 pairs (X) / H5 = 7 => 1 pairs (_) C2,A3: 6.. / C2 = 6 ==> 0 pairs (_) / A3 = 6 ==> 4 pairs (_) I4,G5: 1.. / I4 = 1 ==> 2 pairs (_) / G5 = 1 ==> 2 pairs (_) F4,E6: 2.. / F4 = 2 ==> 1 pairs (_) / E6 = 2 ==> 2 pairs (_) F5,F8: 4.. / F5 = 4 ==> 0 pairs (_) / F8 = 4 ==> 2 pairs (_) F8,D9: 4.. / F8 = 4 ==> 2 pairs (_) / D9 = 4 ==> 0 pairs (_) A6,D6: 8.. / A6 = 8 ==> 1 pairs (_) / D6 = 8 ==> 1 pairs (_) D5,D6: 8.. / D5 = 8 ==> 1 pairs (_) / D6 = 8 ==> 1 pairs (_) C4,C5: 5.. / C4 = 5 ==> 1 pairs (_) / C5 = 5 ==> 1 pairs (_) B3,I3: 4.. / B3 = 4 ==> 1 pairs (_) / I3 = 4 ==> 1 pairs (_) C1,B3: 4.. / C1 = 4 ==> 1 pairs (_) / B3 = 4 ==> 1 pairs (_) D2,F2: 9.. / D2 = 9 ==> 0 pairs (_) / F2 = 9 ==> 1 pairs (_) I2,I8: 8.. / I2 = 8 ==> 0 pairs (_) / I8 = 8 ==> 1 pairs (_) H2,H9: 8.. / H2 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) I8,H9: 8.. / I8 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) H2,I2: 8.. / H2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 0 pairs (_) * DURATION: 0:01:35.485767 START: 17:08:57.348075 END: 17:10:32.833842 2020-12-20 * REASONING G5,H5: 7.. * DIS # G5: 7 # H1: 4,5 => CTR => H1: 2,3 * DIS # G5: 7 + H1: 2,3 # I3: 7 => CTR => I3: 4,5 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 # G9: 5,9 => CTR => G9: 2 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 # C9: 1,4 => CTR => C9: 6,8,9 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 # E1: 3,5 => CTR => E1: 1 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 # E3: 5,6 => CTR => E3: 2 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 # E8: 5,9 => CTR => E8: 3,6 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 + E8: 3,6 # E9: 5,6 => CTR => E9: 9 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 + E8: 3,6 + E9: 9 => CTR => G5: 1,3,5,9 * STA G5: 1,3,5,9 * CNT 9 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (16) * CLUE FOUND
Header Info
53931;12_10;GP;23;11.30;11.30;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G5,H5: 7..:
* DIS # G5: 7 # H1: 4,5 => CTR => H1: 2,3 * INC # G5: 7 + H1: 2,3 # I3: 4,5 => UNS * INC # G5: 7 + H1: 2,3 # I3: 4,5 => UNS * DIS # G5: 7 + H1: 2,3 # I3: 7 => CTR => I3: 4,5 * INC # G5: 7 + H1: 2,3 + I3: 4,5 # I8: 7,8 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 # I8: 6,9 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 # B4: 2,3 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 # A6: 2,3 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 # E6: 2,3 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 # E6: 5,6 => UNS * DIS # G5: 7 + H1: 2,3 + I3: 4,5 # G9: 5,9 => CTR => G9: 2 * INC # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 # E8: 5,9 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 # F8: 5,9 => UNS * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 # C9: 1,4 => CTR => C9: 6,8,9 * INC # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 # C2: 1,2 => UNS * INC # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 # C2: 6 => UNS * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 # E1: 3,5 => CTR => E1: 1 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 # E3: 5,6 => CTR => E3: 2 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 # E8: 5,9 => CTR => E8: 3,6 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 + E8: 3,6 # E9: 5,6 => CTR => E9: 9 * DIS # G5: 7 + H1: 2,3 + I3: 4,5 + G9: 2 + C9: 6,8,9 + E1: 1 + E3: 2 + E8: 3,6 + E9: 9 => CTR => G5: 1,3,5,9 * INC G5: 1,3,5,9 # H5: 7 => UNS * STA G5: 1,3,5,9 * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for C2,A3: 6..:
* INC # A3: 6 # C1: 1,2 => UNS * INC # A3: 6 # B2: 1,2 => UNS * INC # A3: 6 # B3: 1,2 => UNS * INC # A3: 6 # G2: 1,2 => UNS * INC # A3: 6 # G2: 3,7 => UNS * INC # A3: 6 # C4: 1,2 => UNS * INC # A3: 6 # C7: 1,2 => UNS * INC # A3: 6 # C9: 1,2 => UNS * INC # A3: 6 # D4: 6,9 => UNS * INC # A3: 6 # D6: 6,9 => UNS * INC # A3: 6 # D7: 6,9 => UNS * INC # A3: 6 # D9: 6,9 => UNS * INC # A3: 6 # F4: 6,9 => UNS * INC # A3: 6 # F7: 6,9 => UNS * INC # A3: 6 # F8: 6,9 => UNS * INC # A3: 6 # E1: 1,5 => UNS * INC # A3: 6 # E3: 1,5 => UNS * INC # A3: 6 # G3: 1,5 => UNS * INC # A3: 6 # I3: 1,5 => UNS * INC # A3: 6 # D9: 1,5 => UNS * INC # A3: 6 # D9: 4,6,9 => UNS * INC # A3: 6 => UNS * INC # C2: 6 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for I4,G5: 1..:
* INC # I4: 1 # H1: 4,5 => UNS * INC # I4: 1 # I3: 4,5 => UNS * INC # I4: 1 # I6: 4,5 => UNS * INC # I4: 1 # I6: 6,9 => UNS * INC # I4: 1 # H2: 7,8 => UNS * INC # I4: 1 # H2: 2,3 => UNS * INC # I4: 1 # I8: 7,8 => UNS * INC # I4: 1 # I8: 5,6,9 => UNS * INC # I4: 1 => UNS * INC # G5: 1 # A6: 3,8 => UNS * INC # G5: 1 # A6: 2 => UNS * INC # G5: 1 # D5: 3,8 => UNS * INC # G5: 1 # D5: 4,5,9 => UNS * INC # G5: 1 # A8: 3,8 => UNS * INC # G5: 1 # A8: 6,7 => UNS * INC # G5: 1 # H9: 2,6 => UNS * INC # G5: 1 # H9: 5,8 => UNS * INC # G5: 1 # A7: 2,6 => UNS * INC # G5: 1 # C7: 2,6 => UNS * INC # G5: 1 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for F4,E6: 2..:
* INC # E6: 2 # A5: 3,8 => UNS * INC # E6: 2 # A5: 1 => UNS * INC # E6: 2 # D6: 3,8 => UNS * INC # E6: 2 # D6: 4,5,6,9 => UNS * INC # E6: 2 # A8: 3,8 => UNS * INC # E6: 2 # A8: 6,7 => UNS * INC # E6: 2 # B4: 3,9 => UNS * INC # E6: 2 # B4: 1,2 => UNS * INC # E6: 2 # D6: 3,9 => UNS * INC # E6: 2 # G6: 3,9 => UNS * INC # E6: 2 # B8: 3,9 => UNS * INC # E6: 2 # B8: 4,7 => UNS * INC # E6: 2 => UNS * INC # F4: 2 # E1: 3,5 => UNS * INC # F4: 2 # E1: 1,2 => UNS * INC # F4: 2 # H1: 3,5 => UNS * INC # F4: 2 # H1: 2,4 => UNS * INC # F4: 2 # F5: 3,5 => UNS * INC # F4: 2 # F8: 3,5 => UNS * INC # F4: 2 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for F5,F8: 4..:
* INC # F8: 4 => UNS * INC # F5: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F8,D9: 4..:
* INC # F8: 4 => UNS * INC # D9: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A6,D6: 8..:
* INC # A6: 8 # B4: 1,3 => UNS * INC # A6: 8 # B4: 2,9 => UNS * INC # A6: 8 # G5: 1,3 => UNS * INC # A6: 8 # G5: 5,7,9 => UNS * INC # A6: 8 # A7: 1,3 => UNS * INC # A6: 8 # A7: 2,6,7 => UNS * INC # A6: 8 => UNS * INC # D6: 8 # B4: 2,3 => UNS * INC # D6: 8 # B6: 2,3 => UNS * INC # D6: 8 # E6: 2,3 => UNS * INC # D6: 8 # E6: 5,6,9 => UNS * INC # D6: 8 # A7: 2,3 => UNS * INC # D6: 8 # A7: 1,6,7 => UNS * INC # D6: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D5,D6: 8..:
* INC # D5: 8 # B4: 1,3 => UNS * INC # D5: 8 # B4: 2,9 => UNS * INC # D5: 8 # G5: 1,3 => UNS * INC # D5: 8 # G5: 5,7,9 => UNS * INC # D5: 8 # A7: 1,3 => UNS * INC # D5: 8 # A7: 2,6,7 => UNS * INC # D5: 8 => UNS * INC # D6: 8 # B4: 2,3 => UNS * INC # D6: 8 # B6: 2,3 => UNS * INC # D6: 8 # E6: 2,3 => UNS * INC # D6: 8 # E6: 5,6,9 => UNS * INC # D6: 8 # A7: 2,3 => UNS * INC # D6: 8 # A7: 1,6,7 => UNS * INC # D6: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for C4,C5: 5..:
* INC # C4: 5 # H6: 3,6 => UNS * INC # C4: 5 # H6: 4,5 => UNS * INC # C4: 5 # D4: 3,6 => UNS * INC # C4: 5 # F4: 3,6 => UNS * INC # C4: 5 => UNS * INC # C5: 5 # D4: 3,9 => UNS * INC # C5: 5 # F4: 3,9 => UNS * INC # C5: 5 # D5: 3,9 => UNS * INC # C5: 5 # F5: 3,9 => UNS * INC # C5: 5 # D6: 3,9 => UNS * INC # C5: 5 # E6: 3,9 => UNS * INC # C5: 5 # G5: 3,9 => UNS * INC # C5: 5 # G5: 1,7 => UNS * INC # C5: 5 # E8: 3,9 => UNS * INC # C5: 5 # E8: 5,6 => UNS * INC # C5: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B3,I3: 4..:
* INC # B3: 4 # B2: 1,2 => UNS * INC # B3: 4 # C2: 1,2 => UNS * INC # B3: 4 # A3: 1,2 => UNS * INC # B3: 4 # E1: 1,2 => UNS * INC # B3: 4 # E1: 3,5 => UNS * INC # B3: 4 # C4: 1,2 => UNS * INC # B3: 4 # C7: 1,2 => UNS * INC # B3: 4 # C9: 1,2 => UNS * INC # B3: 4 => UNS * INC # I3: 4 # G3: 1,5 => UNS * INC # I3: 4 # G3: 2,7 => UNS * INC # I3: 4 # E1: 1,5 => UNS * INC # I3: 4 # E1: 2,3 => UNS * INC # I3: 4 # I4: 1,5 => UNS * INC # I3: 4 # I4: 6,9 => UNS * INC # I3: 4 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C1,B3: 4..:
* INC # C1: 4 # G3: 1,5 => UNS * INC # C1: 4 # G3: 2,7 => UNS * INC # C1: 4 # E1: 1,5 => UNS * INC # C1: 4 # E1: 2,3 => UNS * INC # C1: 4 # I4: 1,5 => UNS * INC # C1: 4 # I4: 6,9 => UNS * INC # C1: 4 => UNS * INC # B3: 4 # B2: 1,2 => UNS * INC # B3: 4 # C2: 1,2 => UNS * INC # B3: 4 # A3: 1,2 => UNS * INC # B3: 4 # E1: 1,2 => UNS * INC # B3: 4 # E1: 3,5 => UNS * INC # B3: 4 # C4: 1,2 => UNS * INC # B3: 4 # C7: 1,2 => UNS * INC # B3: 4 # C9: 1,2 => UNS * INC # B3: 4 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for D2,F2: 9..:
* INC # F2: 9 # D7: 3,6 => UNS * INC # F2: 9 # E8: 3,6 => UNS * INC # F2: 9 # F8: 3,6 => UNS * INC # F2: 9 # A7: 3,6 => UNS * INC # F2: 9 # A7: 1,2,7 => UNS * INC # F2: 9 # F4: 3,6 => UNS * INC # F2: 9 # F4: 2,5 => UNS * INC # F2: 9 => UNS * INC # D2: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I2,I8: 8..:
* INC # I8: 8 # G2: 1,7 => UNS * INC # I8: 8 # G3: 1,7 => UNS * INC # I8: 8 # I3: 1,7 => UNS * INC # I8: 8 # B2: 1,7 => UNS * INC # I8: 8 # B2: 2 => UNS * INC # I8: 8 => UNS * INC # I2: 8 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for H2,H9: 8..:
* INC # H2: 8 # G2: 1,7 => UNS * INC # H2: 8 # G3: 1,7 => UNS * INC # H2: 8 # I3: 1,7 => UNS * INC # H2: 8 # B2: 1,7 => UNS * INC # H2: 8 # B2: 2 => UNS * INC # H2: 8 => UNS * INC # H9: 8 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for I8,H9: 8..:
* INC # I8: 8 # G2: 1,7 => UNS * INC # I8: 8 # G3: 1,7 => UNS * INC # I8: 8 # I3: 1,7 => UNS * INC # I8: 8 # B2: 1,7 => UNS * INC # I8: 8 # B2: 2 => UNS * INC # I8: 8 => UNS * INC # H9: 8 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # H2: 8 # G2: 1,7 => UNS * INC # H2: 8 # G3: 1,7 => UNS * INC # H2: 8 # I3: 1,7 => UNS * INC # H2: 8 # B2: 1,7 => UNS * INC # H2: 8 # B2: 2 => UNS * INC # H2: 8 => UNS * INC # I2: 8 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED