Analysis of xx-ph-00029875-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....5..........7..58..8....79....4.3..2....6....1.9...64.....2....3....1..6. initial
Autosolve
position: 98.76....5..........7..58..8....79....4.3..2...96....1.9...64.....2....3....1..6. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for G2,G5: 6..:
* DIS # G2: 6 # G6: 5,7 => CTR => G6: 3 * DIS # G2: 6 + G6: 3 # D4: 4,5 => CTR => D4: 1 * DIS # G2: 6 + G6: 3 + D4: 1 # E4: 4,5 => CTR => E4: 2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 # H1: 1,3 => CTR => H1: 4,5 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 # I4: 6 => CTR => I4: 4,5 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 # C7: 5,8 => CTR => C7: 1,2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 # G1: 5 => CTR => G1: 1,2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 + G1: 1,2 # D2: 8,9 => CTR => D2: 3 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 + G1: 1,2 + D2: 3 => CTR => G2: 1,2,3,7 * STA G2: 1,2,3,7 * CNT 9 HDP CHAINS / 42 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
| 98.76....5..........7..58..8....79....4.3..2....6....1.9...64.....2....3....1..6. | initial |
| 98.76....5..........7..58..8....79....4.3..2...96....1.9...64.....2....3....1..6. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G2,G5: 6.. / G2 = 6 => 1 pairs (_) / G5 = 6 => 2 pairs (_) E7,E8: 7.. / E7 = 7 => 0 pairs (_) / E8 = 7 => 2 pairs (_) I5,H6: 8.. / I5 = 8 => 1 pairs (_) / H6 = 8 => 5 pairs (_) D5,F5: 9.. / D5 = 9 => 1 pairs (_) / F5 = 9 => 1 pairs (_) H8,I9: 9.. / H8 = 9 => 1 pairs (_) / I9 = 9 => 0 pairs (_) * DURATION: 0:00:03.461646 START: 16:12:33.141010 END: 16:12:36.602656 2020-10-26 * CP COUNT: (5) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I5,H6: 8.. / I5 = 8 ==> 1 pairs (_) / H6 = 8 ==> 5 pairs (_) G2,G5: 6.. / G2 = 6 ==> 0 pairs (X) / G5 = 6 ==> 2 pairs (_) E7,E8: 7.. / E7 = 7 ==> 0 pairs (_) / E8 = 7 ==> 2 pairs (_) D5,F5: 9.. / D5 = 9 ==> 1 pairs (_) / F5 = 9 ==> 1 pairs (_) H8,I9: 9.. / H8 = 9 ==> 1 pairs (_) / I9 = 9 ==> 0 pairs (_) * DURATION: 0:00:47.128686 START: 16:12:36.603274 END: 16:13:23.731960 2020-10-26 * REASONING G2,G5: 6.. * DIS # G2: 6 # G6: 5,7 => CTR => G6: 3 * DIS # G2: 6 + G6: 3 # D4: 4,5 => CTR => D4: 1 * DIS # G2: 6 + G6: 3 + D4: 1 # E4: 4,5 => CTR => E4: 2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 # H1: 1,3 => CTR => H1: 4,5 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 # I4: 6 => CTR => I4: 4,5 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 # C7: 5,8 => CTR => C7: 1,2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 # G1: 5 => CTR => G1: 1,2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 + G1: 1,2 # D2: 8,9 => CTR => D2: 3 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 + G1: 1,2 + D2: 3 => CTR => G2: 1,2,3,7 * STA G2: 1,2,3,7 * CNT 9 HDP CHAINS / 42 HYP OPENED * DCP COUNT: (5) * CLUE FOUND
Header Info
29875;2011_12;GP;23;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I5,H6: 8..:
* INC # H6: 8 # E6: 2,5 => UNS * INC # H6: 8 # E6: 4 => UNS * INC # H6: 8 # B4: 2,5 => UNS * INC # H6: 8 # C4: 2,5 => UNS * INC # H6: 8 # D2: 8,9 => UNS * INC # H6: 8 # D9: 8,9 => UNS * INC # H6: 8 # F2: 8,9 => UNS * INC # H6: 8 # F8: 8,9 => UNS * INC # H6: 8 # F9: 8,9 => UNS * INC # H6: 8 # E6: 2,4 => UNS * INC # H6: 8 # E6: 5 => UNS * INC # H6: 8 # F1: 2,4 => UNS * INC # H6: 8 # F2: 2,4 => UNS * INC # H6: 8 # E8: 7,8 => UNS * INC # H6: 8 # E8: 4,9 => UNS * INC # H6: 8 # I7: 7,8 => UNS * INC # H6: 8 # I7: 2,5 => UNS * INC # H6: 8 => UNS * INC # I5: 8 # D5: 1,9 => UNS * INC # I5: 8 # D5: 5 => UNS * INC # I5: 8 # F2: 1,9 => UNS * INC # I5: 8 # F2: 2,3,4,8 => UNS * INC # I5: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for G2,G5: 6..:
* INC # G5: 6 # B5: 1,7 => UNS * INC # G5: 6 # B5: 5 => UNS * INC # G5: 6 # A7: 1,7 => UNS * INC # G5: 6 # A8: 1,7 => UNS * INC # G5: 6 # H4: 4,5 => UNS * INC # G5: 6 # H6: 4,5 => UNS * INC # G5: 6 # D4: 4,5 => UNS * INC # G5: 6 # E4: 4,5 => UNS * INC # G5: 6 # I1: 4,5 => UNS * INC # G5: 6 # I1: 2 => UNS * INC # G5: 6 => UNS * INC # G2: 6 # I5: 5,7 => UNS * DIS # G2: 6 # G6: 5,7 => CTR => G6: 3 * INC # G2: 6 + G6: 3 # H6: 5,7 => UNS * INC # G2: 6 + G6: 3 # B5: 5,7 => UNS * INC # G2: 6 + G6: 3 # B5: 1,6 => UNS * INC # G2: 6 + G6: 3 # G8: 5,7 => UNS * INC # G2: 6 + G6: 3 # G9: 5,7 => UNS * INC # G2: 6 + G6: 3 # I5: 5,7 => UNS * INC # G2: 6 + G6: 3 # H6: 5,7 => UNS * INC # G2: 6 + G6: 3 # B5: 5,7 => UNS * INC # G2: 6 + G6: 3 # B5: 1,6 => UNS * INC # G2: 6 + G6: 3 # G8: 5,7 => UNS * INC # G2: 6 + G6: 3 # G9: 5,7 => UNS * INC # G2: 6 + G6: 3 # B6: 2,7 => UNS * INC # G2: 6 + G6: 3 # B6: 5 => UNS * INC # G2: 6 + G6: 3 # A7: 2,7 => UNS * INC # G2: 6 + G6: 3 # A9: 2,7 => UNS * INC # G2: 6 + G6: 3 # I4: 4,5 => UNS * INC # G2: 6 + G6: 3 # H6: 4,5 => UNS * DIS # G2: 6 + G6: 3 # D4: 4,5 => CTR => D4: 1 * DIS # G2: 6 + G6: 3 + D4: 1 # E4: 4,5 => CTR => E4: 2 * INC # G2: 6 + G6: 3 + D4: 1 + E4: 2 # H1: 4,5 => UNS * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 # H1: 1,3 => CTR => H1: 4,5 * INC # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 # I4: 4,5 => UNS * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 # I4: 6 => CTR => I4: 4,5 * INC # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 # C7: 1,2 => UNS * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 # C7: 5,8 => CTR => C7: 1,2 * INC # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 # G1: 1,2 => UNS * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 # G1: 5 => CTR => G1: 1,2 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 + G1: 1,2 # D2: 8,9 => CTR => D2: 3 * DIS # G2: 6 + G6: 3 + D4: 1 + E4: 2 + H1: 4,5 + I4: 4,5 + C7: 1,2 + G1: 1,2 + D2: 3 => CTR => G2: 1,2,3,7 * STA G2: 1,2,3,7 * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for E7,E8: 7..:
* INC # E8: 7 # D7: 5,8 => UNS * INC # E8: 7 # D9: 5,8 => UNS * INC # E8: 7 # C7: 5,8 => UNS * INC # E8: 7 # H7: 5,8 => UNS * INC # E8: 7 # I7: 5,8 => UNS * INC # E8: 7 # E6: 5,8 => UNS * INC # E8: 7 # E6: 2,4 => UNS * INC # E8: 7 # H7: 1,5 => UNS * INC # E8: 7 # H8: 1,5 => UNS * INC # E8: 7 # B8: 1,5 => UNS * INC # E8: 7 # C8: 1,5 => UNS * INC # E8: 7 # G1: 1,5 => UNS * INC # E8: 7 # G1: 2,3 => UNS * INC # E8: 7 => UNS * INC # E7: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D5,F5: 9..:
* INC # D5: 9 # F2: 1,8 => UNS * INC # D5: 9 # F2: 2,3,4,9 => UNS * INC # D5: 9 => UNS * INC # F5: 9 # E8: 4,8 => UNS * INC # F5: 9 # D9: 4,8 => UNS * INC # F5: 9 # F9: 4,8 => UNS * INC # F5: 9 # F2: 4,8 => UNS * INC # F5: 9 # F6: 4,8 => UNS * INC # F5: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H8,I9: 9..:
* INC # H8: 9 # E8: 4,8 => UNS * INC # H8: 9 # D9: 4,8 => UNS * INC # H8: 9 # F9: 4,8 => UNS * INC # H8: 9 # F2: 4,8 => UNS * INC # H8: 9 # F6: 4,8 => UNS * INC # H8: 9 => UNS * INC # I9: 9 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED