Analysis of xx-ph-00000227-H29-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7.....7...8.6....5..4...6..3..9...9.....2...4..1..6.3.8..7.......2.1.........5 initial

Autosolve

position: 98.7.....74..8.6....5..4...6..3..9...9.....2...4..1..6.3.8..7.......2.1.........5 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:22.521992

List of important HDP chains detected for C1,B3: 6..:

* PRF # C1: 6 # A3: 1,2 # A7: 1,2 => SOL
* STA # C1: 6 # A3: 1,2 + A7: 1,2
* CNT   1 HDP CHAINS /  31 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.7.....7...8.6....5..4...6..3..9...9.....2...4..1..6.3.8..7.......2.1.........5 initial
98.7.....74..8.6....5..4...6..3..9...9.....2...4..1..6.3.8..7.......2.1.........5 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I7,G9: 2.. / I7 = 2  =>  0 pairs (_) / G9 = 2  =>  1 pairs (_)
C1,B3: 6.. / C1 = 6  =>  2 pairs (_) / B3 = 6  =>  1 pairs (_)
H7,H9: 6.. / H7 = 6  =>  1 pairs (_) / H9 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
F4,F5: 8.. / F4 = 8  =>  0 pairs (_) / F5 = 8  =>  1 pairs (_)
D6,E6: 9.. / D6 = 9  =>  0 pairs (_) / E6 = 9  =>  1 pairs (_)
* DURATION: 0:00:04.787904  START: 14:56:46.844405  END: 14:56:51.632309 2020-09-29
* CP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,B3: 6.. / C1 = 6 ==>  2 pairs (_) / B3 = 6 ==>  1 pairs (_)
H7,H9: 6.. / H7 = 6 ==>  1 pairs (_) / H9 = 6 ==>  1 pairs (_)
D6,E6: 9.. / D6 = 9 ==>  0 pairs (_) / E6 = 9 ==>  1 pairs (_)
F4,F5: 8.. / F4 = 8 ==>  0 pairs (_) / F5 = 8 ==>  1 pairs (_)
I7,G9: 2.. / I7 = 2 ==>  0 pairs (_) / G9 = 2 ==>  1 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  0 pairs (_)
* DURATION: 0:00:27.070224  START: 14:56:51.633407  END: 14:57:18.703631 2020-09-29
* DCP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
C1,B3: 6.. / C1 = 6 ==>  0 pairs (*) / B3 = 6  =>  0 pairs (X)
* DURATION: 0:00:22.520326  START: 14:57:18.779936  END: 14:57:41.300262 2020-09-29
* REASONING C1,B3: 6..
* PRF # C1: 6 # A3: 1,2 # A7: 1,2 => SOL
* STA # C1: 6 # A3: 1,2 + A7: 1,2
* CNT   1 HDP CHAINS /  31 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

227;H29;GP;22;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,B3: 6..:

* INC # C1: 6 # C2: 1,2 => UNS
* INC # C1: 6 # A3: 1,2 => UNS
* INC # C1: 6 # D3: 1,2 => UNS
* INC # C1: 6 # E3: 1,2 => UNS
* INC # C1: 6 # G3: 1,2 => UNS
* INC # C1: 6 # I3: 1,2 => UNS
* INC # C1: 6 # B4: 1,2 => UNS
* INC # C1: 6 # B9: 1,2 => UNS
* INC # C1: 6 # E1: 3,5 => UNS
* INC # C1: 6 # F2: 3,5 => UNS
* INC # C1: 6 # G1: 3,5 => UNS
* INC # C1: 6 # H1: 3,5 => UNS
* INC # C1: 6 => UNS
* INC # B3: 6 # E8: 5,7 => UNS
* INC # B3: 6 # E8: 3,4,6,9 => UNS
* INC # B3: 6 # B4: 5,7 => UNS
* INC # B3: 6 # B6: 5,7 => UNS
* INC # B3: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H7,H9: 6..:

* INC # H7: 6 # E7: 5,9 => UNS
* INC # H7: 6 # D8: 5,9 => UNS
* INC # H7: 6 # E8: 5,9 => UNS
* INC # H7: 6 # F2: 5,9 => UNS
* INC # H7: 6 # F2: 3 => UNS
* INC # H7: 6 => UNS
* INC # H9: 6 # I7: 4,9 => UNS
* INC # H9: 6 # I8: 4,9 => UNS
* INC # H9: 6 # E7: 4,9 => UNS
* INC # H9: 6 # E7: 1,5,6 => UNS
* INC # H9: 6 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D6,E6: 9..:

* INC # E6: 9 # E4: 2,5 => UNS
* INC # E6: 9 # E4: 4,7 => UNS
* INC # E6: 9 # A6: 2,5 => UNS
* INC # E6: 9 # B6: 2,5 => UNS
* INC # E6: 9 # D2: 2,5 => UNS
* INC # E6: 9 # D2: 1,9 => UNS
* INC # E6: 9 => UNS
* INC # D6: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for F4,F5: 8..:

* INC # F5: 8 # E4: 5,7 => UNS
* INC # F5: 8 # E5: 5,7 => UNS
* INC # F5: 8 # E6: 5,7 => UNS
* INC # F5: 8 # B4: 5,7 => UNS
* INC # F5: 8 # H4: 5,7 => UNS
* INC # F5: 8 => UNS
* INC # F4: 8 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for I7,G9: 2..:

* INC # G9: 2 # H7: 4,9 => UNS
* INC # G9: 2 # I8: 4,9 => UNS
* INC # G9: 2 # H9: 4,9 => UNS
* INC # G9: 2 # E7: 4,9 => UNS
* INC # G9: 2 # E7: 1,5,6 => UNS
* INC # G9: 2 => UNS
* INC # I7: 2 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # H3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,B3: 6..:

* INC # C1: 6 # C2: 1,2 => UNS
* INC # C1: 6 # A3: 1,2 => UNS
* INC # C1: 6 # D3: 1,2 => UNS
* INC # C1: 6 # E3: 1,2 => UNS
* INC # C1: 6 # G3: 1,2 => UNS
* INC # C1: 6 # I3: 1,2 => UNS
* INC # C1: 6 # B4: 1,2 => UNS
* INC # C1: 6 # B9: 1,2 => UNS
* INC # C1: 6 # E1: 3,5 => UNS
* INC # C1: 6 # F2: 3,5 => UNS
* INC # C1: 6 # G1: 3,5 => UNS
* INC # C1: 6 # H1: 3,5 => UNS
* INC # C1: 6 # C2: 1,2 # D2: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # I2: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # C4: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # C7: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # C9: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # D3: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # E3: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # G3: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # I3: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # B4: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # B9: 1,2 => UNS
* INC # C1: 6 # C2: 1,2 # E1: 3,5 => UNS
* INC # C1: 6 # C2: 1,2 # F2: 3,5 => UNS
* INC # C1: 6 # C2: 1,2 # G1: 3,5 => UNS
* INC # C1: 6 # C2: 1,2 # H1: 3,5 => UNS
* INC # C1: 6 # C2: 1,2 => UNS
* PRF # C1: 6 # A3: 1,2 # A7: 1,2 => SOL
* STA # C1: 6 # A3: 1,2 + A7: 1,2
* CNT  29 HDP CHAINS /  31 HYP OPENED