Analysis of xx-ph-00012868-kz0-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. initial

Autosolve

position: 98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....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

Time used: 0:00:00.000009

List of important HDP chains detected for D4,F6: 9..:

* DIS # F6: 9 # G2: 4,8 => CTR => G2: 1,2,3
* CNT   1 HDP CHAINS /  50 HYP OPENED

List of important HDP chains detected for B2,C2: 6..:

* DIS # C2: 6 # B6: 3,5 => CTR => B6: 6,7
* CNT   1 HDP CHAINS /  20 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: 0:00:45.230854

List of important HDP chains detected for D7,D9: 6..:

* DIS # D7: 6 # I4: 2,9 # C9: 4 => CTR => C9: 3,5
* PRF # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 7 => SOL
* STA # D7: 6 # I4: 2,9 + C9: 3,5 + B6: 7
* CNT   2 HDP CHAINS /  36 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..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. initial
98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  1 pairs (_)
I4,H6: 6.. / I4 = 6  =>  1 pairs (_) / H6 = 6  =>  2 pairs (_)
D7,D9: 6.. / D7 = 6  =>  6 pairs (_) / D9 = 6  =>  1 pairs (_)
H2,I2: 7.. / H2 = 7  =>  0 pairs (_) / I2 = 7  =>  0 pairs (_)
A6,B6: 7.. / A6 = 7  =>  0 pairs (_) / B6 = 7  =>  0 pairs (_)
H8,I9: 7.. / H8 = 7  =>  0 pairs (_) / I9 = 7  =>  0 pairs (_)
H2,H8: 7.. / H2 = 7  =>  0 pairs (_) / H8 = 7  =>  0 pairs (_)
I2,I9: 7.. / I2 = 7  =>  0 pairs (_) / I9 = 7  =>  0 pairs (_)
D4,F6: 9.. / D4 = 9  =>  2 pairs (_) / F6 = 9  =>  4 pairs (_)
* DURATION: 0:00:07.276802  START: 03:09:40.204527  END: 03:09:47.481329 2020-10-19
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D7,D9: 6.. / D7 = 6 ==>  6 pairs (_) / D9 = 6 ==>  1 pairs (_)
D4,F6: 9.. / D4 = 9 ==>  2 pairs (_) / F6 = 9 ==>  4 pairs (_)
I4,H6: 6.. / I4 = 6 ==>  1 pairs (_) / H6 = 6 ==>  2 pairs (_)
B2,C2: 6.. / B2 = 6 ==>  0 pairs (_) / C2 = 6 ==>  2 pairs (_)
I2,I9: 7.. / I2 = 7 ==>  0 pairs (_) / I9 = 7 ==>  0 pairs (_)
H2,H8: 7.. / H2 = 7 ==>  0 pairs (_) / H8 = 7 ==>  0 pairs (_)
H8,I9: 7.. / H8 = 7 ==>  0 pairs (_) / I9 = 7 ==>  0 pairs (_)
A6,B6: 7.. / A6 = 7 ==>  0 pairs (_) / B6 = 7 ==>  0 pairs (_)
H2,I2: 7.. / H2 = 7 ==>  0 pairs (_) / I2 = 7 ==>  0 pairs (_)
* DURATION: 0:01:22.116970  START: 03:09:47.482140  END: 03:11:09.599110 2020-10-19
* REASONING D4,F6: 9..
* DIS # F6: 9 # G2: 4,8 => CTR => G2: 1,2,3
* CNT   1 HDP CHAINS /  50 HYP OPENED
* REASONING B2,C2: 6..
* DIS # C2: 6 # B6: 3,5 => CTR => B6: 6,7
* CNT   1 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D7,D9: 6.. / D7 = 6 ==>  0 pairs (*) / D9 = 6  =>  0 pairs (X)
* DURATION: 0:00:45.229502  START: 03:11:09.713826  END: 03:11:54.943328 2020-10-19
* REASONING D7,D9: 6..
* DIS # D7: 6 # I4: 2,9 # C9: 4 => CTR => C9: 3,5
* PRF # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 7 => SOL
* STA # D7: 6 # I4: 2,9 + C9: 3,5 + B6: 7
* CNT   2 HDP CHAINS /  36 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

12868;kz0;GP;23;11.40;11.40;10.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,D9: 6..:

* INC # D7: 6 # I4: 2,9 => UNS
* INC # D7: 6 # I4: 5,6,8 => UNS
* INC # D7: 6 # G3: 2,9 => UNS
* INC # D7: 6 # G3: 1,3,4 => UNS
* INC # D7: 6 # H6: 4,9 => UNS
* INC # D7: 6 # H6: 5,6,8 => UNS
* INC # D7: 6 # F6: 4,9 => UNS
* INC # D7: 6 # F6: 3,5,8 => UNS
* INC # D7: 6 # G3: 4,9 => UNS
* INC # D7: 6 # G3: 1,2,3 => UNS
* INC # D7: 6 # G8: 1,9 => UNS
* INC # D7: 6 # G8: 8 => UNS
* INC # D7: 6 # B7: 1,9 => UNS
* INC # D7: 6 # B7: 2,3 => UNS
* INC # D7: 6 # H3: 1,9 => UNS
* INC # D7: 6 # H3: 4,5,8 => UNS
* INC # D7: 6 # G9: 3,9 => UNS
* INC # D7: 6 # G9: 8 => UNS
* INC # D7: 6 # B7: 3,9 => UNS
* INC # D7: 6 # B7: 1,2 => UNS
* INC # D7: 6 # I3: 3,9 => UNS
* INC # D7: 6 # I3: 2,5,8 => UNS
* INC # D7: 6 # A8: 6,7 => UNS
* INC # D7: 6 # B8: 6,7 => UNS
* INC # D7: 6 # A9: 6,7 => UNS
* INC # D7: 6 # B9: 6,7 => UNS
* INC # D7: 6 => UNS
* INC # D9: 6 # F7: 4,9 => UNS
* INC # D9: 6 # F7: 2 => UNS
* INC # D9: 6 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for D4,F6: 9..:

* INC # F6: 9 # H5: 4,8 => UNS
* INC # F6: 9 # H6: 4,8 => UNS
* INC # F6: 9 # E6: 4,8 => UNS
* INC # F6: 9 # E6: 3,5 => UNS
* DIS # F6: 9 # G2: 4,8 => CTR => G2: 1,2,3
* INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # G3: 1,2,3,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # H5: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # H6: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # E6: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # E6: 3,5 => UNS
* INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # G3: 1,2,3,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # B7: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # H7: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # I7: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # A7: 2,4 => UNS
* INC # F6: 9 + G2: 1,2,3 # A7: 1,3,6 => UNS
* INC # F6: 9 + G2: 1,2,3 # F1: 2,4 => UNS
* INC # F6: 9 + G2: 1,2,3 # F2: 2,4 => UNS
* INC # F6: 9 + G2: 1,2,3 # B9: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # I9: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # H5: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # H6: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # E6: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # E6: 3,5 => UNS
* INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS
* INC # F6: 9 + G2: 1,2,3 # G3: 1,2,3,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # B7: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # H7: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # I7: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # A7: 2,4 => UNS
* INC # F6: 9 + G2: 1,2,3 # A7: 1,3,6 => UNS
* INC # F6: 9 + G2: 1,2,3 # F1: 2,4 => UNS
* INC # F6: 9 + G2: 1,2,3 # F2: 2,4 => UNS
* INC # F6: 9 + G2: 1,2,3 # B9: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 # I9: 6,9 => UNS
* INC # F6: 9 + G2: 1,2,3 => UNS
* INC # D4: 9 # I4: 2,8 => UNS
* INC # D4: 9 # I5: 2,8 => UNS
* INC # D4: 9 # A4: 2,8 => UNS
* INC # D4: 9 # A4: 1,6 => UNS
* INC # D4: 9 # G2: 2,8 => UNS
* INC # D4: 9 # G3: 2,8 => UNS
* INC # D4: 9 # D9: 4,6 => UNS
* INC # D4: 9 # D9: 5,8 => UNS
* INC # D4: 9 # A7: 4,6 => UNS
* INC # D4: 9 # A7: 1,2,3 => UNS
* INC # D4: 9 => UNS
* CNT  50 HDP CHAINS /  50 HYP OPENED

Full list of HDP chains traversed for I4,H6: 6..:

* INC # H6: 6 # B5: 3,5 => UNS
* INC # H6: 6 # B6: 3,5 => UNS
* INC # H6: 6 # E6: 3,5 => UNS
* INC # H6: 6 # F6: 3,5 => UNS
* INC # H6: 6 # C9: 3,5 => UNS
* INC # H6: 6 # C9: 4 => UNS
* INC # H6: 6 # G8: 1,9 => UNS
* INC # H6: 6 # H8: 1,9 => UNS
* INC # H6: 6 # B7: 1,9 => UNS
* INC # H6: 6 # B7: 2,3 => UNS
* INC # H6: 6 # H3: 1,9 => UNS
* INC # H6: 6 # H3: 4,5,8 => UNS
* INC # H6: 6 => UNS
* INC # I4: 6 # G9: 3,9 => UNS
* INC # I4: 6 # I9: 3,9 => UNS
* INC # I4: 6 # B7: 3,9 => UNS
* INC # I4: 6 # B7: 1,2,6 => UNS
* INC # I4: 6 # I3: 3,9 => UNS
* INC # I4: 6 # I3: 2,5,8 => UNS
* INC # I4: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for B2,C2: 6..:

* INC # C2: 6 # B5: 3,5 => UNS
* DIS # C2: 6 # B6: 3,5 => CTR => B6: 6,7
* INC # C2: 6 + B6: 6,7 # B5: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # B5: 1,2 => UNS
* INC # C2: 6 + B6: 6,7 # E6: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # F6: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # C9: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # C9: 4 => UNS
* INC # C2: 6 + B6: 6,7 # A6: 6,7 => UNS
* INC # C2: 6 + B6: 6,7 # A6: 3,8 => UNS
* INC # C2: 6 + B6: 6,7 # B8: 6,7 => UNS
* INC # C2: 6 + B6: 6,7 # B9: 6,7 => UNS
* INC # C2: 6 + B6: 6,7 # B5: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # B5: 1,2 => UNS
* INC # C2: 6 + B6: 6,7 # E6: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # F6: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # C9: 3,5 => UNS
* INC # C2: 6 + B6: 6,7 # C9: 4 => UNS
* INC # C2: 6 + B6: 6,7 => UNS
* INC # B2: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for I2,I9: 7..:

* INC # I2: 7 => UNS
* INC # I9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H2,H8: 7..:

* INC # H2: 7 => UNS
* INC # H8: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H8,I9: 7..:

* INC # H8: 7 => UNS
* INC # I9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A6,B6: 7..:

* INC # A6: 7 => UNS
* INC # B6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H2,I2: 7..:

* INC # H2: 7 => UNS
* INC # I2: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,D9: 6..:

* INC # D7: 6 # I4: 2,9 => UNS
* INC # D7: 6 # I4: 5,6,8 => UNS
* INC # D7: 6 # G3: 2,9 => UNS
* INC # D7: 6 # G3: 1,3,4 => UNS
* INC # D7: 6 # H6: 4,9 => UNS
* INC # D7: 6 # H6: 5,6,8 => UNS
* INC # D7: 6 # F6: 4,9 => UNS
* INC # D7: 6 # F6: 3,5,8 => UNS
* INC # D7: 6 # G3: 4,9 => UNS
* INC # D7: 6 # G3: 1,2,3 => UNS
* INC # D7: 6 # G8: 1,9 => UNS
* INC # D7: 6 # G8: 8 => UNS
* INC # D7: 6 # B7: 1,9 => UNS
* INC # D7: 6 # B7: 2,3 => UNS
* INC # D7: 6 # H3: 1,9 => UNS
* INC # D7: 6 # H3: 4,5,8 => UNS
* INC # D7: 6 # G9: 3,9 => UNS
* INC # D7: 6 # G9: 8 => UNS
* INC # D7: 6 # B7: 3,9 => UNS
* INC # D7: 6 # B7: 1,2 => UNS
* INC # D7: 6 # I3: 3,9 => UNS
* INC # D7: 6 # I3: 2,5,8 => UNS
* INC # D7: 6 # A8: 6,7 => UNS
* INC # D7: 6 # B8: 6,7 => UNS
* INC # D7: 6 # A9: 6,7 => UNS
* INC # D7: 6 # B9: 6,7 => UNS
* INC # D7: 6 # I4: 2,9 # B6: 3,5 => UNS
* INC # D7: 6 # I4: 2,9 # B6: 7 => UNS
* INC # D7: 6 # I4: 2,9 # E6: 3,5 => UNS
* INC # D7: 6 # I4: 2,9 # E6: 8 => UNS
* INC # D7: 6 # I4: 2,9 # C9: 3,5 => UNS
* DIS # D7: 6 # I4: 2,9 # C9: 4 => CTR => C9: 3,5
* INC # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 3,5 => UNS
* PRF # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 7 => SOL
* STA # D7: 6 # I4: 2,9 + C9: 3,5 + B6: 7
* CNT  34 HDP CHAINS /  36 HYP OPENED