Analysis of xx-ph-00001492-tarx0017-base.sdk
Contents
Original Sudoku
level: deep
position: ........3..6..21...7..1..5......6.....1.4.2..8..2.9....5.....8...49..6..3.......7 initial
Autosolve
position: ........3..6..21...7..1..5....1.6.....1.4.2..8..2.9....5.....8...49..6..3.......7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000018
List of important HDP chains detected for E1,E2: 9..:
* DIS # E2: 9 # D2: 4,5 => CTR => D2: 3,7,8 * CNT 1 HDP CHAINS / 41 HYP OPENED
List of important HDP chains detected for B2,C3: 3..:
* DIS # C3: 3 # D2: 4,8 => CTR => D2: 3,5,7 * CNT 1 HDP CHAINS / 42 HYP OPENED
List of important HDP chains detected for I8,G9: 5..:
* DIS # I8: 5 # G4: 4,9 => CTR => G4: 3,5,7,8 * CNT 1 HDP CHAINS / 23 HYP OPENED
List of important HDP chains detected for G1,H2: 7..:
* DIS # G1: 7 # A2: 4,9 => CTR => A2: 5 * PRF # G1: 7 + A2: 5 # B2: 4,9 => SOL * STA # G1: 7 + A2: 5 + B2: 4,9 * CNT 2 HDP CHAINS / 5 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
| ........3..6..21...7..1..5......6.....1.4.2..8..2.9....5.....8...49..6..3.......7 | initial |
| ........3..6..21...7..1..5....1.6.....1.4.2..8..2.9....5.....8...49..6..3.......7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) H1: 2,6 I3: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 1.. / A1 = 1 => 3 pairs (_) / B1 = 1 => 3 pairs (_) H6,I6: 1.. / H6 = 1 => 3 pairs (_) / I6 = 1 => 3 pairs (_) H1,I3: 2.. / H1 = 2 => 1 pairs (_) / I3 = 2 => 2 pairs (_) B2,C3: 3.. / B2 = 3 => 4 pairs (_) / C3 = 3 => 4 pairs (_) G7,H8: 3.. / G7 = 3 => 3 pairs (_) / H8 = 3 => 3 pairs (_) I8,G9: 5.. / I8 = 5 => 3 pairs (_) / G9 = 5 => 3 pairs (_) H1,I3: 6.. / H1 = 6 => 2 pairs (_) / I3 = 6 => 1 pairs (_) A7,B9: 6.. / A7 = 6 => 2 pairs (_) / B9 = 6 => 6 pairs (_) D3,I3: 6.. / D3 = 6 => 2 pairs (_) / I3 = 6 => 1 pairs (_) A5,A7: 6.. / A5 = 6 => 6 pairs (_) / A7 = 6 => 2 pairs (_) G1,H2: 7.. / G1 = 7 => 3 pairs (_) / H2 = 7 => 2 pairs (_) E1,E2: 9.. / E1 = 9 => 2 pairs (_) / E2 = 9 => 7 pairs (_) * DURATION: 0:00:13.654221 START: 19:58:08.994874 END: 19:58:22.649095 2020-11-28 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E1,E2: 9.. / E1 = 9 ==> 2 pairs (_) / E2 = 9 ==> 6 pairs (_) A5,A7: 6.. / A5 = 6 ==> 6 pairs (_) / A7 = 6 ==> 2 pairs (_) A7,B9: 6.. / A7 = 6 ==> 2 pairs (_) / B9 = 6 ==> 6 pairs (_) B2,C3: 3.. / B2 = 3 ==> 4 pairs (_) / C3 = 3 ==> 4 pairs (_) I8,G9: 5.. / I8 = 5 ==> 3 pairs (_) / G9 = 5 ==> 3 pairs (_) G7,H8: 3.. / G7 = 3 ==> 3 pairs (_) / H8 = 3 ==> 3 pairs (_) H6,I6: 1.. / H6 = 1 ==> 3 pairs (_) / I6 = 1 ==> 3 pairs (_) A1,B1: 1.. / A1 = 1 ==> 3 pairs (_) / B1 = 1 ==> 3 pairs (_) G1,H2: 7.. / G1 = 7 ==> 0 pairs (*) / H2 = 7 => 0 pairs (X) * DURATION: 0:02:22.014165 START: 19:58:23.691528 END: 20:00:45.705693 2020-11-28 * REASONING E1,E2: 9.. * DIS # E2: 9 # D2: 4,5 => CTR => D2: 3,7,8 * CNT 1 HDP CHAINS / 41 HYP OPENED * REASONING B2,C3: 3.. * DIS # C3: 3 # D2: 4,8 => CTR => D2: 3,5,7 * CNT 1 HDP CHAINS / 42 HYP OPENED * REASONING I8,G9: 5.. * DIS # I8: 5 # G4: 4,9 => CTR => G4: 3,5,7,8 * CNT 1 HDP CHAINS / 23 HYP OPENED * REASONING G1,H2: 7.. * DIS # G1: 7 # A2: 4,9 => CTR => A2: 5 * PRF # G1: 7 + A2: 5 # B2: 4,9 => SOL * STA # G1: 7 + A2: 5 + B2: 4,9 * CNT 2 HDP CHAINS / 5 HYP OPENED * DCP COUNT: (9) * SOLUTION FOUND
Header Info
1492;tarx0017;tarx;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,E2: 9..:
* INC # E2: 9 # A1: 4,5 => UNS * INC # E2: 9 # A1: 1,2,9 => UNS * DIS # E2: 9 # D2: 4,5 => CTR => D2: 3,7,8 * INC # E2: 9 + D2: 3,7,8 # G1: 4,7 => UNS * INC # E2: 9 + D2: 3,7,8 # G1: 8,9 => UNS * INC # E2: 9 + D2: 3,7,8 # H4: 4,7 => UNS * INC # E2: 9 + D2: 3,7,8 # H6: 4,7 => UNS * INC # E2: 9 + D2: 3,7,8 # G1: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # G3: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # B2: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # B2: 3 => UNS * INC # E2: 9 + D2: 3,7,8 # I4: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # I4: 5,9 => UNS * INC # E2: 9 + D2: 3,7,8 # D7: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # F7: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # G4: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # G6: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # D9: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # F9: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # G4: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # G6: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # G1: 4,7 => UNS * INC # E2: 9 + D2: 3,7,8 # G1: 8,9 => UNS * INC # E2: 9 + D2: 3,7,8 # H4: 4,7 => UNS * INC # E2: 9 + D2: 3,7,8 # H6: 4,7 => UNS * INC # E2: 9 + D2: 3,7,8 # G1: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # G3: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # B2: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # B2: 3 => UNS * INC # E2: 9 + D2: 3,7,8 # I4: 4,8 => UNS * INC # E2: 9 + D2: 3,7,8 # I4: 5,9 => UNS * INC # E2: 9 + D2: 3,7,8 # D7: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # F7: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # G4: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # G6: 3,4 => UNS * INC # E2: 9 + D2: 3,7,8 # D9: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # F9: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # G4: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 # G6: 4,5 => UNS * INC # E2: 9 + D2: 3,7,8 => UNS * INC # E1: 9 => UNS * CNT 41 HDP CHAINS / 41 HYP OPENED
Full list of HDP chains traversed for A5,A7: 6..:
* INC # A5: 6 # B4: 3,9 => UNS * INC # A5: 6 # C4: 3,9 => UNS * INC # A5: 6 # H5: 3,9 => UNS * INC # A5: 6 # H5: 7 => UNS * INC # A5: 6 # B2: 3,9 => UNS * INC # A5: 6 # B2: 4,8 => UNS * INC # A5: 6 # B4: 3,4 => UNS * INC # A5: 6 # B4: 2,9 => UNS * INC # A5: 6 # G6: 3,4 => UNS * INC # A5: 6 # G6: 5,7 => UNS * INC # A5: 6 # B2: 3,4 => UNS * INC # A5: 6 # B2: 8,9 => UNS * INC # A5: 6 => UNS * INC # A7: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for A7,B9: 6..:
* INC # B9: 6 # B4: 3,9 => UNS * INC # B9: 6 # C4: 3,9 => UNS * INC # B9: 6 # H5: 3,9 => UNS * INC # B9: 6 # H5: 7 => UNS * INC # B9: 6 # B2: 3,9 => UNS * INC # B9: 6 # B2: 4,8 => UNS * INC # B9: 6 # B4: 3,4 => UNS * INC # B9: 6 # B4: 2,9 => UNS * INC # B9: 6 # G6: 3,4 => UNS * INC # B9: 6 # G6: 5,7 => UNS * INC # B9: 6 # B2: 3,4 => UNS * INC # B9: 6 # B2: 8,9 => UNS * INC # B9: 6 => UNS * INC # A7: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B2,C3: 3..:
* INC # B2: 3 # A5: 6,9 => UNS * INC # B2: 3 # A5: 5,7 => UNS * INC # B2: 3 # H5: 6,9 => UNS * INC # B2: 3 # I5: 6,9 => UNS * INC # B2: 3 # B9: 6,9 => UNS * INC # B2: 3 # B9: 1,2,8 => UNS * INC # B2: 3 # H6: 4,6 => UNS * INC # B2: 3 # I6: 4,6 => UNS * INC # B2: 3 => UNS * INC # C3: 3 # D1: 4,8 => UNS * INC # C3: 3 # F1: 4,8 => UNS * DIS # C3: 3 # D2: 4,8 => CTR => D2: 3,5,7 * INC # C3: 3 + D2: 3,5,7 # D3: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # G3: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # G3: 9 => UNS * INC # C3: 3 + D2: 3,5,7 # F9: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # F9: 1,5 => UNS * INC # C3: 3 + D2: 3,5,7 # D1: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # F1: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # D3: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # G3: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # G3: 9 => UNS * INC # C3: 3 + D2: 3,5,7 # F9: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # F9: 1,5 => UNS * INC # C3: 3 + D2: 3,5,7 # A4: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # C4: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # A5: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # E6: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # G6: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # D1: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # F1: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # D3: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # G3: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # G3: 9 => UNS * INC # C3: 3 + D2: 3,5,7 # F9: 4,8 => UNS * INC # C3: 3 + D2: 3,5,7 # F9: 1,5 => UNS * INC # C3: 3 + D2: 3,5,7 # A4: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # C4: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # A5: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # E6: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 # G6: 5,7 => UNS * INC # C3: 3 + D2: 3,5,7 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for I8,G9: 5..:
* INC # I8: 5 # G7: 4,9 => UNS * INC # I8: 5 # I7: 4,9 => UNS * INC # I8: 5 # H9: 4,9 => UNS * INC # I8: 5 # G1: 4,9 => UNS * INC # I8: 5 # G3: 4,9 => UNS * DIS # I8: 5 # G4: 4,9 => CTR => G4: 3,5,7,8 * INC # I8: 5 + G4: 3,5,7,8 # G7: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # I7: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # H9: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # G1: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # G3: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # G7: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # I7: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # H9: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # G1: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 # G3: 4,9 => UNS * INC # I8: 5 + G4: 3,5,7,8 => UNS * INC # G9: 5 # I7: 1,2 => UNS * INC # G9: 5 # H8: 1,2 => UNS * INC # G9: 5 # H9: 1,2 => UNS * INC # G9: 5 # A8: 1,2 => UNS * INC # G9: 5 # B8: 1,2 => UNS * INC # G9: 5 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for G7,H8: 3..:
* INC # G7: 3 # I7: 1,2 => UNS * INC # G7: 3 # I8: 1,2 => UNS * INC # G7: 3 # H9: 1,2 => UNS * INC # G7: 3 # A8: 1,2 => UNS * INC # G7: 3 # B8: 1,2 => UNS * INC # G7: 3 => UNS * INC # H8: 3 # I7: 4,9 => UNS * INC # H8: 3 # G9: 4,9 => UNS * INC # H8: 3 # H9: 4,9 => UNS * INC # H8: 3 # G1: 4,9 => UNS * INC # H8: 3 # G3: 4,9 => UNS * INC # H8: 3 # G4: 4,9 => UNS * INC # H8: 3 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for H6,I6: 1..:
* INC # H6: 1 # E8: 2,3 => UNS * INC # H6: 1 # E8: 5,7,8 => UNS * INC # H6: 1 => UNS * INC # I6: 1 # E8: 2,5 => UNS * INC # I6: 1 # E8: 3,7,8 => UNS * INC # I6: 1 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A1,B1: 1..:
* INC # A1: 1 # A7: 2,7 => UNS * INC # A1: 1 # C7: 2,7 => UNS * INC # A1: 1 # E8: 2,7 => UNS * INC # A1: 1 # E8: 3,5,8 => UNS * INC # A1: 1 # A4: 2,7 => UNS * INC # A1: 1 # A4: 4,5,9 => UNS * INC # A1: 1 => UNS * INC # B1: 1 # B9: 2,8 => UNS * INC # B1: 1 # C9: 2,8 => UNS * INC # B1: 1 # E8: 2,8 => UNS * INC # B1: 1 # E8: 3,5,7 => UNS * INC # B1: 1 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G1,H2: 7..:
* INC # G1: 7 # I2: 4,9 => UNS * INC # G1: 7 # G3: 4,9 => UNS * DIS # G1: 7 # A2: 4,9 => CTR => A2: 5 * PRF # G1: 7 + A2: 5 # B2: 4,9 => SOL * STA # G1: 7 + A2: 5 + B2: 4,9 * CNT 4 HDP CHAINS / 5 HYP OPENED