Analysis of xx-ph-00022649-KZ1C-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 initial

Autosolve

position: 98.7..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 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

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: 0:00:00.000006

List of important HDP chains detected for E3,F3: 8..:

* DIS # E3: 8 # I3: 1,2 => CTR => I3: 5,7,9
* CNT   1 HDP CHAINS /  24 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:21.235570

List of important HDP chains detected for G3,G6: 5..:

* PRF # G3: 5 # H1: 1,2 # C2: 3,4 => SOL
* STA # G3: 5 # H1: 1,2 + C2: 3,4
* CNT   1 HDP CHAINS /  27 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..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 initial
98.7..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G8,I8: 1.. / G8 = 1  =>  1 pairs (_) / I8 = 1  =>  4 pairs (_)
D7,F8: 3.. / D7 = 3  =>  0 pairs (_) / F8 = 3  =>  1 pairs (_)
E5,F5: 4.. / E5 = 4  =>  2 pairs (_) / F5 = 4  =>  0 pairs (_)
I4,G6: 5.. / I4 = 5  =>  6 pairs (_) / G6 = 5  =>  0 pairs (_)
A7,A9: 5.. / A7 = 5  =>  2 pairs (_) / A9 = 5  =>  1 pairs (_)
A9,D9: 5.. / A9 = 5  =>  1 pairs (_) / D9 = 5  =>  2 pairs (_)
G3,G6: 5.. / G3 = 5  =>  6 pairs (_) / G6 = 5  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
E3,F3: 8.. / E3 = 8  =>  1 pairs (_) / F3 = 8  =>  0 pairs (_)
E2,E3: 9.. / E2 = 9  =>  1 pairs (_) / E3 = 9  =>  0 pairs (_)
B4,B6: 9.. / B4 = 9  =>  1 pairs (_) / B6 = 9  =>  1 pairs (_)
G9,H9: 9.. / G9 = 9  =>  1 pairs (_) / H9 = 9  =>  3 pairs (_)
* DURATION: 0:00:06.893694  START: 19:51:22.203403  END: 19:51:29.097097 2020-12-07
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G3,G6: 5.. / G3 = 5 ==>  6 pairs (_) / G6 = 5 ==>  0 pairs (_)
I4,G6: 5.. / I4 = 5 ==>  6 pairs (_) / G6 = 5 ==>  0 pairs (_)
G8,I8: 1.. / G8 = 1 ==>  1 pairs (_) / I8 = 1 ==>  4 pairs (_)
G9,H9: 9.. / G9 = 9 ==>  1 pairs (_) / H9 = 9 ==>  3 pairs (_)
A9,D9: 5.. / A9 = 5 ==>  1 pairs (_) / D9 = 5 ==>  2 pairs (_)
A7,A9: 5.. / A7 = 5 ==>  2 pairs (_) / A9 = 5 ==>  1 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  2 pairs (_) / I3 = 7 ==>  0 pairs (_)
E5,F5: 4.. / E5 = 4 ==>  2 pairs (_) / F5 = 4 ==>  0 pairs (_)
B4,B6: 9.. / B4 = 9 ==>  1 pairs (_) / B6 = 9 ==>  1 pairs (_)
E2,E3: 9.. / E2 = 9 ==>  1 pairs (_) / E3 = 9 ==>  0 pairs (_)
E3,F3: 8.. / E3 = 8 ==>  1 pairs (_) / F3 = 8 ==>  0 pairs (_)
D7,F8: 3.. / D7 = 3 ==>  0 pairs (_) / F8 = 3 ==>  1 pairs (_)
* DURATION: 0:01:27.348579  START: 19:51:29.097617  END: 19:52:56.446196 2020-12-07
* REASONING E3,F3: 8..
* DIS # E3: 8 # I3: 1,2 => CTR => I3: 5,7,9
* CNT   1 HDP CHAINS /  24 HYP OPENED
* DCP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G3,G6: 5.. / G3 = 5 ==>  0 pairs (*) / G6 = 5  =>  0 pairs (X)
* DURATION: 0:00:21.232877  START: 19:52:56.587098  END: 19:53:17.819975 2020-12-07
* REASONING G3,G6: 5..
* PRF # G3: 5 # H1: 1,2 # C2: 3,4 => SOL
* STA # G3: 5 # H1: 1,2 + C2: 3,4
* CNT   1 HDP CHAINS /  27 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

22649;KZ1C;GP;23;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,G6: 5..:

* INC # G3: 5 # H1: 1,2 => UNS
* INC # G3: 5 # H3: 1,2 => UNS
* INC # G3: 5 # C1: 1,2 => UNS
* INC # G3: 5 # C1: 3,4 => UNS
* INC # G3: 5 # I8: 1,2 => UNS
* INC # G3: 5 # I8: 6 => UNS
* INC # G3: 5 # E5: 1,6 => UNS
* INC # G3: 5 # D6: 1,6 => UNS
* INC # G3: 5 # E6: 1,6 => UNS
* INC # G3: 5 # H4: 1,6 => UNS
* INC # G3: 5 # H4: 9 => UNS
* INC # G3: 5 # D2: 1,6 => UNS
* INC # G3: 5 # D2: 2,3,4 => UNS
* INC # G3: 5 # E6: 6,7 => UNS
* INC # G3: 5 # F6: 6,7 => UNS
* INC # G3: 5 # B4: 6,7 => UNS
* INC # G3: 5 # B4: 9 => UNS
* INC # G3: 5 # F8: 6,7 => UNS
* INC # G3: 5 # F8: 3,4 => UNS
* INC # G3: 5 # C7: 4,7 => UNS
* INC # G3: 5 # B8: 4,7 => UNS
* INC # G3: 5 # B9: 4,7 => UNS
* INC # G3: 5 # G9: 4,7 => UNS
* INC # G3: 5 # G9: 8,9 => UNS
* INC # G3: 5 => UNS
* INC # G6: 5 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for I4,G6: 5..:

* INC # I4: 5 # H1: 1,2 => UNS
* INC # I4: 5 # H3: 1,2 => UNS
* INC # I4: 5 # C1: 1,2 => UNS
* INC # I4: 5 # C1: 3,4 => UNS
* INC # I4: 5 # I8: 1,2 => UNS
* INC # I4: 5 # I8: 6 => UNS
* INC # I4: 5 # E5: 1,6 => UNS
* INC # I4: 5 # D6: 1,6 => UNS
* INC # I4: 5 # E6: 1,6 => UNS
* INC # I4: 5 # H4: 1,6 => UNS
* INC # I4: 5 # H4: 9 => UNS
* INC # I4: 5 # D2: 1,6 => UNS
* INC # I4: 5 # D2: 2,3,4 => UNS
* INC # I4: 5 # E6: 6,7 => UNS
* INC # I4: 5 # F6: 6,7 => UNS
* INC # I4: 5 # B4: 6,7 => UNS
* INC # I4: 5 # B4: 9 => UNS
* INC # I4: 5 # F8: 6,7 => UNS
* INC # I4: 5 # F8: 3,4 => UNS
* INC # I4: 5 # C7: 4,7 => UNS
* INC # I4: 5 # B8: 4,7 => UNS
* INC # I4: 5 # B9: 4,7 => UNS
* INC # I4: 5 # G9: 4,7 => UNS
* INC # I4: 5 # G9: 8,9 => UNS
* INC # I4: 5 => UNS
* INC # G6: 5 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for G8,I8: 1..:

* INC # I8: 1 # I3: 2,5 => UNS
* INC # I8: 1 # I3: 7,9 => UNS
* INC # I8: 1 # F1: 2,5 => UNS
* INC # I8: 1 # F1: 3,4 => UNS
* INC # I8: 1 # H3: 2,9 => UNS
* INC # I8: 1 # I3: 2,9 => UNS
* INC # I8: 1 # I4: 6,8 => UNS
* INC # I8: 1 # I4: 5,9 => UNS
* INC # I8: 1 # A5: 6,8 => UNS
* INC # I8: 1 # E5: 6,8 => UNS
* INC # I8: 1 # F5: 6,8 => UNS
* INC # I8: 1 # I7: 6,8 => UNS
* INC # I8: 1 # I7: 2,7 => UNS
* INC # I8: 1 # G7: 4,7 => UNS
* INC # I8: 1 # G9: 4,7 => UNS
* INC # I8: 1 # B8: 4,7 => UNS
* INC # I8: 1 # E8: 4,7 => UNS
* INC # I8: 1 # F8: 4,7 => UNS
* INC # I8: 1 # G3: 4,7 => UNS
* INC # I8: 1 # G3: 1,3,5,9 => UNS
* INC # I8: 1 => UNS
* INC # G8: 1 # G6: 3,8 => UNS
* INC # G8: 1 # G6: 5,9 => UNS
* INC # G8: 1 # A5: 3,8 => UNS
* INC # G8: 1 # A5: 1,2,6 => UNS
* INC # G8: 1 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for G9,H9: 9..:

* INC # H9: 9 # I5: 1,6 => UNS
* INC # H9: 9 # H6: 1,6 => UNS
* INC # H9: 9 # D4: 1,6 => UNS
* INC # H9: 9 # D4: 5 => UNS
* INC # H9: 9 # I3: 5,9 => UNS
* INC # H9: 9 # I3: 1,2,7 => UNS
* INC # H9: 9 # G3: 5,9 => UNS
* INC # H9: 9 # G3: 1,3,4,7 => UNS
* INC # H9: 9 => UNS
* INC # G9: 9 # H7: 4,6 => UNS
* INC # G9: 9 # H7: 2 => UNS
* INC # G9: 9 # B9: 4,6 => UNS
* INC # G9: 9 # D9: 4,6 => UNS
* INC # G9: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for A9,D9: 5..:

* INC # D9: 5 # E5: 1,6 => UNS
* INC # D9: 5 # D6: 1,6 => UNS
* INC # D9: 5 # E6: 1,6 => UNS
* INC # D9: 5 # H4: 1,6 => UNS
* INC # D9: 5 # I4: 1,6 => UNS
* INC # D9: 5 # D2: 1,6 => UNS
* INC # D9: 5 # D2: 2,3,4 => UNS
* INC # D9: 5 # A5: 6,8 => UNS
* INC # D9: 5 # A6: 6,8 => UNS
* INC # D9: 5 => UNS
* INC # A9: 5 # D7: 4,6 => UNS
* INC # A9: 5 # E7: 4,6 => UNS
* INC # A9: 5 # E8: 4,6 => UNS
* INC # A9: 5 # F8: 4,6 => UNS
* INC # A9: 5 # B9: 4,6 => UNS
* INC # A9: 5 # H9: 4,6 => UNS
* INC # A9: 5 # D2: 4,6 => UNS
* INC # A9: 5 # D2: 1,2,3 => UNS
* INC # A9: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for A7,A9: 5..:

* INC # A7: 5 # E5: 1,6 => UNS
* INC # A7: 5 # D6: 1,6 => UNS
* INC # A7: 5 # E6: 1,6 => UNS
* INC # A7: 5 # H4: 1,6 => UNS
* INC # A7: 5 # I4: 1,6 => UNS
* INC # A7: 5 # D2: 1,6 => UNS
* INC # A7: 5 # D2: 2,3,4 => UNS
* INC # A7: 5 # A5: 6,8 => UNS
* INC # A7: 5 # A6: 6,8 => UNS
* INC # A7: 5 => UNS
* INC # A9: 5 # D7: 4,6 => UNS
* INC # A9: 5 # E7: 4,6 => UNS
* INC # A9: 5 # E8: 4,6 => UNS
* INC # A9: 5 # F8: 4,6 => UNS
* INC # A9: 5 # B9: 4,6 => UNS
* INC # A9: 5 # H9: 4,6 => UNS
* INC # A9: 5 # D2: 4,6 => UNS
* INC # A9: 5 # D2: 1,2,3 => UNS
* INC # A9: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # G9: 4,8 => UNS
* INC # G3: 7 # G9: 9 => UNS
* INC # G3: 7 # C7: 4,8 => UNS
* INC # G3: 7 # C7: 2,3 => UNS
* INC # G3: 7 # G2: 1,4 => UNS
* INC # G3: 7 # G2: 3,9 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E5,F5: 4..:

* INC # E5: 4 # D3: 1,5 => UNS
* INC # E5: 4 # E3: 1,5 => UNS
* INC # E5: 4 # I1: 1,5 => UNS
* INC # E5: 4 # I1: 2 => UNS
* INC # E5: 4 # E6: 1,5 => UNS
* INC # E5: 4 # E6: 6,7,8 => UNS
* INC # E5: 4 # E7: 6,7 => UNS
* INC # E5: 4 # F8: 6,7 => UNS
* INC # E5: 4 # B8: 6,7 => UNS
* INC # E5: 4 # I8: 6,7 => UNS
* INC # E5: 4 # E6: 6,7 => UNS
* INC # E5: 4 # E6: 1,5,8 => UNS
* INC # E5: 4 => UNS
* INC # F5: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B4,B6: 9..:

* INC # B4: 9 # I4: 1,6 => UNS
* INC # B4: 9 # I5: 1,6 => UNS
* INC # B4: 9 # H6: 1,6 => UNS
* INC # B4: 9 # D4: 1,6 => UNS
* INC # B4: 9 # D4: 5 => UNS
* INC # B4: 9 => UNS
* INC # B6: 9 # F4: 6,7 => UNS
* INC # B6: 9 # F4: 5,8 => UNS
* INC # B6: 9 # B8: 6,7 => UNS
* INC # B6: 9 # B9: 6,7 => UNS
* INC # B6: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for E2,E3: 9..:

* INC # E2: 9 # H1: 1,2 => UNS
* INC # E2: 9 # I1: 1,2 => UNS
* INC # E2: 9 # H3: 1,2 => UNS
* INC # E2: 9 # I3: 1,2 => UNS
* INC # E2: 9 # C2: 1,2 => UNS
* INC # E2: 9 # D2: 1,2 => UNS
* INC # E2: 9 # I8: 1,2 => UNS
* INC # E2: 9 # I8: 6,7 => UNS
* INC # E2: 9 => UNS
* INC # E3: 9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for E3,F3: 8..:

* INC # E3: 8 # H1: 1,2 => UNS
* INC # E3: 8 # I1: 1,2 => UNS
* INC # E3: 8 # H3: 1,2 => UNS
* DIS # E3: 8 # I3: 1,2 => CTR => I3: 5,7,9
* INC # E3: 8 + I3: 5,7,9 # C2: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # D2: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I8: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I8: 6,7 => UNS
* INC # E3: 8 + I3: 5,7,9 # H1: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I1: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # H3: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # C2: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # D2: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I8: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I8: 6,7 => UNS
* INC # E3: 8 + I3: 5,7,9 # H1: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I1: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # H3: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # C2: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # D2: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I8: 1,2 => UNS
* INC # E3: 8 + I3: 5,7,9 # I8: 6,7 => UNS
* INC # E3: 8 + I3: 5,7,9 => UNS
* INC # F3: 8 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for D7,F8: 3..:

* INC # F8: 3 # A7: 2,6 => UNS
* INC # F8: 3 # B8: 2,6 => UNS
* INC # F8: 3 # I8: 2,6 => UNS
* INC # F8: 3 # I8: 1,7 => UNS
* INC # F8: 3 # A5: 2,6 => UNS
* INC # F8: 3 # A6: 2,6 => UNS
* INC # F8: 3 => UNS
* INC # D7: 3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,G6: 5..:

* INC # G3: 5 # H1: 1,2 => UNS
* INC # G3: 5 # H3: 1,2 => UNS
* INC # G3: 5 # C1: 1,2 => UNS
* INC # G3: 5 # C1: 3,4 => UNS
* INC # G3: 5 # I8: 1,2 => UNS
* INC # G3: 5 # I8: 6 => UNS
* INC # G3: 5 # E5: 1,6 => UNS
* INC # G3: 5 # D6: 1,6 => UNS
* INC # G3: 5 # E6: 1,6 => UNS
* INC # G3: 5 # H4: 1,6 => UNS
* INC # G3: 5 # H4: 9 => UNS
* INC # G3: 5 # D2: 1,6 => UNS
* INC # G3: 5 # D2: 2,3,4 => UNS
* INC # G3: 5 # E6: 6,7 => UNS
* INC # G3: 5 # F6: 6,7 => UNS
* INC # G3: 5 # B4: 6,7 => UNS
* INC # G3: 5 # B4: 9 => UNS
* INC # G3: 5 # F8: 6,7 => UNS
* INC # G3: 5 # F8: 3,4 => UNS
* INC # G3: 5 # C7: 4,7 => UNS
* INC # G3: 5 # B8: 4,7 => UNS
* INC # G3: 5 # B9: 4,7 => UNS
* INC # G3: 5 # G9: 4,7 => UNS
* INC # G3: 5 # G9: 8,9 => UNS
* PRF # G3: 5 # H1: 1,2 # C2: 3,4 => SOL
* STA # G3: 5 # H1: 1,2 + C2: 3,4
* CNT  25 HDP CHAINS /  27 HYP OPENED