Analysis of xx-ph-00022490-KZ1C-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75.....8...6......4.........3..2.7.4..79...5...86...7.....3.1.......1..2 initial

Autosolve

position: 98.7..6..75.....8...6.....74.........3..2.7.4..79...5...86...7.....3.1.......1..2 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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for C5,H5: 9..:

* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6
* CNT   1 HDP CHAINS /  23 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: 0:00:25.517900

List of important HDP chains detected for C5,H5: 9..:

* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 # G2: 2,3 => CTR => G2: 4,9
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 # G3: 2,3 => CTR => G3: 4,5,9
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 1 => CTR => H1: 2,3
* PRF # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 # A3: 2,3 => SOL
* STA # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 + A3: 2,3
* CNT   5 HDP CHAINS /  24 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..2.7.4..79...5...86...7.....3.1.......1..2 initial
98.7..6..75.....8...6.....74.........3..2.7.4..79...5...86...7.....3.1.......1..2 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B7: 1.. / A7 = 1  =>  1 pairs (_) / B7 = 1  =>  2 pairs (_)
E6,F6: 4.. / E6 = 4  =>  2 pairs (_) / F6 = 4  =>  0 pairs (_)
I1,G3: 5.. / I1 = 5  =>  2 pairs (_) / G3 = 5  =>  1 pairs (_)
E2,F2: 6.. / E2 = 6  =>  0 pairs (_) / F2 = 6  =>  1 pairs (_)
E4,F4: 7.. / E4 = 7  =>  0 pairs (_) / F4 = 7  =>  0 pairs (_)
B8,B9: 7.. / B8 = 7  =>  0 pairs (_) / B9 = 7  =>  0 pairs (_)
F8,E9: 7.. / F8 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
B8,F8: 7.. / B8 = 7  =>  0 pairs (_) / F8 = 7  =>  0 pairs (_)
B9,E9: 7.. / B9 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
E4,E9: 7.. / E4 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
F4,F8: 7.. / F4 = 7  =>  0 pairs (_) / F8 = 7  =>  0 pairs (_)
A5,A6: 8.. / A5 = 8  =>  2 pairs (_) / A6 = 8  =>  1 pairs (_)
I8,G9: 8.. / I8 = 8  =>  1 pairs (_) / G9 = 8  =>  2 pairs (_)
C5,H5: 9.. / C5 = 9  =>  1 pairs (_) / H5 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.980710  START: 17:47:04.358194  END: 17:47:12.338904 2020-12-07
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C5,H5: 9.. / C5 = 9 ==>  1 pairs (_) / H5 = 9 ==>  3 pairs (_)
I8,G9: 8.. / I8 = 8 ==>  1 pairs (_) / G9 = 8 ==>  2 pairs (_)
A5,A6: 8.. / A5 = 8 ==>  2 pairs (_) / A6 = 8 ==>  1 pairs (_)
I1,G3: 5.. / I1 = 5 ==>  2 pairs (_) / G3 = 5 ==>  1 pairs (_)
A7,B7: 1.. / A7 = 1 ==>  1 pairs (_) / B7 = 1 ==>  2 pairs (_)
E6,F6: 4.. / E6 = 4 ==>  2 pairs (_) / F6 = 4 ==>  0 pairs (_)
E2,F2: 6.. / E2 = 6 ==>  0 pairs (_) / F2 = 6 ==>  1 pairs (_)
F4,F8: 7.. / F4 = 7 ==>  0 pairs (_) / F8 = 7 ==>  0 pairs (_)
E4,E9: 7.. / E4 = 7 ==>  0 pairs (_) / E9 = 7 ==>  0 pairs (_)
B9,E9: 7.. / B9 = 7 ==>  0 pairs (_) / E9 = 7 ==>  0 pairs (_)
B8,F8: 7.. / B8 = 7 ==>  0 pairs (_) / F8 = 7 ==>  0 pairs (_)
F8,E9: 7.. / F8 = 7 ==>  0 pairs (_) / E9 = 7 ==>  0 pairs (_)
B8,B9: 7.. / B8 = 7 ==>  0 pairs (_) / B9 = 7 ==>  0 pairs (_)
E4,F4: 7.. / E4 = 7 ==>  0 pairs (_) / F4 = 7 ==>  0 pairs (_)
* DURATION: 0:01:00.885116  START: 17:47:12.339472  END: 17:48:13.224588 2020-12-07
* REASONING C5,H5: 9..
* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6
* CNT   1 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
C5,H5: 9.. / C5 = 9  =>  0 pairs (X) / H5 = 9 ==>  0 pairs (*)
* DURATION: 0:00:25.515117  START: 17:48:13.397742  END: 17:48:38.912859 2020-12-07
* REASONING C5,H5: 9..
* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 # G2: 2,3 => CTR => G2: 4,9
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 # G3: 2,3 => CTR => G3: 4,5,9
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 1 => CTR => H1: 2,3
* PRF # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 # A3: 2,3 => SOL
* STA # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 + A3: 2,3
* CNT   5 HDP CHAINS /  24 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

22490;KZ1C;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,H5: 9..:

* INC # H5: 9 # C4: 1,5 => UNS
* INC # H5: 9 # A5: 1,5 => UNS
* INC # H5: 9 # D5: 1,5 => UNS
* INC # H5: 9 # D5: 8 => UNS
* INC # H5: 9 # H9: 4,6 => UNS
* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6
* INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS
* INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS
* INC # H5: 9 + H9: 4,6 # C4: 1,5 => UNS
* INC # H5: 9 + H9: 4,6 # A5: 1,5 => UNS
* INC # H5: 9 + H9: 4,6 # D5: 1,5 => UNS
* INC # H5: 9 + H9: 4,6 # D5: 8 => UNS
* INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS
* INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS
* INC # H5: 9 + H9: 4,6 # B9: 4,6 => UNS
* INC # H5: 9 + H9: 4,6 # B9: 7,9 => UNS
* INC # H5: 9 + H9: 4,6 => UNS
* INC # C5: 9 # H4: 1,6 => UNS
* INC # C5: 9 # I4: 1,6 => UNS
* INC # C5: 9 # I6: 1,6 => UNS
* INC # C5: 9 # A5: 1,6 => UNS
* INC # C5: 9 # A5: 5,8 => UNS
* INC # C5: 9 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for I8,G9: 8..:

* INC # G9: 8 # G4: 2,3 => UNS
* INC # G9: 8 # H4: 2,3 => UNS
* INC # G9: 8 # G2: 2,3 => UNS
* INC # G9: 8 # G3: 2,3 => UNS
* INC # G9: 8 # E7: 4,5 => UNS
* INC # G9: 8 # F7: 4,5 => UNS
* INC # G9: 8 # D8: 4,5 => UNS
* INC # G9: 8 # F8: 4,5 => UNS
* INC # G9: 8 # E9: 4,5 => UNS
* INC # G9: 8 # C9: 4,5 => UNS
* INC # G9: 8 # C9: 3,9 => UNS
* INC # G9: 8 # D3: 4,5 => UNS
* INC # G9: 8 # D3: 1,2,3,8 => UNS
* INC # G9: 8 => UNS
* INC # I8: 8 # H4: 1,9 => UNS
* INC # I8: 8 # I4: 1,9 => UNS
* INC # I8: 8 # C5: 1,9 => UNS
* INC # I8: 8 # C5: 5 => UNS
* INC # I8: 8 # H3: 1,9 => UNS
* INC # I8: 8 # H3: 2,3,4 => UNS
* INC # I8: 8 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for A5,A6: 8..:

* INC # A5: 8 # D4: 1,5 => UNS
* INC # A5: 8 # E4: 1,5 => UNS
* INC # A5: 8 # C5: 1,5 => UNS
* INC # A5: 8 # C5: 9 => UNS
* INC # A5: 8 # D3: 1,5 => UNS
* INC # A5: 8 # D3: 2,3,4,8 => UNS
* INC # A5: 8 # E4: 5,6 => UNS
* INC # A5: 8 # F4: 5,6 => UNS
* INC # A5: 8 => UNS
* INC # A6: 8 # G4: 2,3 => UNS
* INC # A6: 8 # H4: 2,3 => UNS
* INC # A6: 8 # G2: 2,3 => UNS
* INC # A6: 8 # G3: 2,3 => UNS
* INC # A6: 8 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for I1,G3: 5..:

* INC # I1: 5 # D2: 1,4 => UNS
* INC # I1: 5 # E2: 1,4 => UNS
* INC # I1: 5 # D3: 1,4 => UNS
* INC # I1: 5 # E3: 1,4 => UNS
* INC # I1: 5 # C1: 1,4 => UNS
* INC # I1: 5 # H1: 1,4 => UNS
* INC # I1: 5 # E6: 1,4 => UNS
* INC # I1: 5 # E6: 6,8 => UNS
* INC # I1: 5 # G7: 3,9 => UNS
* INC # I1: 5 # G9: 3,9 => UNS
* INC # I1: 5 # H9: 3,9 => UNS
* INC # I1: 5 # I2: 3,9 => UNS
* INC # I1: 5 # I4: 3,9 => UNS
* INC # I1: 5 => UNS
* INC # G3: 5 # H1: 1,3 => UNS
* INC # G3: 5 # I2: 1,3 => UNS
* INC # G3: 5 # H3: 1,3 => UNS
* INC # G3: 5 # C1: 1,3 => UNS
* INC # G3: 5 # C1: 2,4 => UNS
* INC # G3: 5 # I4: 1,3 => UNS
* INC # G3: 5 # I6: 1,3 => UNS
* INC # G3: 5 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for A7,B7: 1..:

* INC # B7: 1 # C1: 2,4 => UNS
* INC # B7: 1 # C2: 2,4 => UNS
* INC # B7: 1 # D3: 2,4 => UNS
* INC # B7: 1 # F3: 2,4 => UNS
* INC # B7: 1 # G3: 2,4 => UNS
* INC # B7: 1 # H3: 2,4 => UNS
* INC # B7: 1 # B8: 2,4 => UNS
* INC # B7: 1 # B8: 6,7,9 => UNS
* INC # B7: 1 # B4: 2,6 => UNS
* INC # B7: 1 # A6: 2,6 => UNS
* INC # B7: 1 # B8: 2,6 => UNS
* INC # B7: 1 # B8: 4,7,9 => UNS
* INC # B7: 1 => UNS
* INC # A7: 1 # C1: 2,3 => UNS
* INC # A7: 1 # C2: 2,3 => UNS
* INC # A7: 1 # D3: 2,3 => UNS
* INC # A7: 1 # F3: 2,3 => UNS
* INC # A7: 1 # G3: 2,3 => UNS
* INC # A7: 1 # H3: 2,3 => UNS
* INC # A7: 1 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for E6,F6: 4..:

* INC # E6: 4 # D3: 1,5 => UNS
* INC # E6: 4 # E3: 1,5 => UNS
* INC # E6: 4 # I1: 1,5 => UNS
* INC # E6: 4 # I1: 3 => UNS
* INC # E6: 4 # E4: 1,5 => UNS
* INC # E6: 4 # E4: 6,7,8 => UNS
* INC # E6: 4 # F7: 5,9 => UNS
* INC # E6: 4 # F8: 5,9 => UNS
* INC # E6: 4 # E9: 5,9 => UNS
* INC # E6: 4 # G7: 5,9 => UNS
* INC # E6: 4 # I7: 5,9 => UNS
* INC # E6: 4 # E3: 5,9 => UNS
* INC # E6: 4 # E3: 1,8 => UNS
* INC # E6: 4 => UNS
* INC # F6: 4 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for E2,F2: 6..:

* INC # F2: 6 # D4: 5,8 => UNS
* INC # F2: 6 # E4: 5,8 => UNS
* INC # F2: 6 # F4: 5,8 => UNS
* INC # F2: 6 # D5: 5,8 => UNS
* INC # F2: 6 # A5: 5,8 => UNS
* INC # F2: 6 # A5: 1,6 => UNS
* INC # F2: 6 # F3: 5,8 => UNS
* INC # F2: 6 # F8: 5,8 => UNS
* INC # F2: 6 => UNS
* INC # E2: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F4,F8: 7..:

* INC # F4: 7 => UNS
* INC # F8: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,E9: 7..:

* INC # E4: 7 => UNS
* INC # E9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B9,E9: 7..:

* INC # B9: 7 => UNS
* INC # E9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B8,F8: 7..:

* INC # B8: 7 => UNS
* INC # F8: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F8,E9: 7..:

* INC # F8: 7 => UNS
* INC # E9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B8,B9: 7..:

* INC # B8: 7 => UNS
* INC # B9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,F4: 7..:

* INC # E4: 7 => UNS
* INC # F4: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,H5: 9..:

* INC # H5: 9 # C4: 1,5 => UNS
* INC # H5: 9 # A5: 1,5 => UNS
* INC # H5: 9 # D5: 1,5 => UNS
* INC # H5: 9 # D5: 8 => UNS
* INC # H5: 9 # H9: 4,6 => UNS
* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6
* INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS
* INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS
* INC # H5: 9 + H9: 4,6 # C4: 1,5 => UNS
* INC # H5: 9 + H9: 4,6 # A5: 1,5 => UNS
* INC # H5: 9 + H9: 4,6 # D5: 1,5 => UNS
* INC # H5: 9 + H9: 4,6 # D5: 8 => UNS
* INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS
* INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS
* INC # H5: 9 + H9: 4,6 # B9: 4,6 => UNS
* INC # H5: 9 + H9: 4,6 # B9: 7,9 => UNS
* INC # H5: 9 + H9: 4,6 # C4: 1,5 # H1: 2,3 => UNS
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 # G2: 2,3 => CTR => G2: 4,9
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 # G3: 2,3 => CTR => G3: 4,5,9
* INC # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 2,3 => UNS
* DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 1 => CTR => H1: 2,3
* PRF # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 # A3: 2,3 => SOL
* STA # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 + A3: 2,3
* CNT  22 HDP CHAINS /  24 HYP OPENED