Analysis of xx-ph-00014335-kz1a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7.95....7..4..3..2...1.....98..5....89..6......2...4.....3.1. initial

Autosolve

position: 98.7.....6.....7....7.95....7..49.3..2...1.....98..5....89..6......2...4.....3.1. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:09.787737

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

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: 0:00:00.000017

List of important HDP chains detected for D4,F6: 2..:

* DIS # F6: 2 # D5: 5,6 => CTR => D5: 3
* CNT   1 HDP CHAINS /  54 HYP OPENED

List of important HDP chains detected for F7,D9: 4..:

* DIS # D9: 4 # I9: 2,5 => CTR => I9: 7,8,9
* CNT   1 HDP CHAINS /  52 HYP OPENED

List of important HDP chains detected for E7,D8: 1..:

* PRF # E7: 1 # D5: 5,6 => SOL
* STA # E7: 1 + D5: 5,6
* CNT   1 HDP CHAINS /  15 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

98.7.....6.....7....7.95....7..4..3..2...1.....98..5....89..6......2...4.....3.1. initial
98.7.....6.....7....7.95....7..49.3..2...1.....98..5....89..6......2...4.....3.1. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F7: 4,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E7,D8: 1.. / E7 = 1  =>  4 pairs (_) / D8 = 1  =>  2 pairs (_)
D4,F6: 2.. / D4 = 2  =>  3 pairs (_) / F6 = 2  =>  5 pairs (_)
I7,G8: 3.. / I7 = 3  =>  2 pairs (_) / G8 = 3  =>  1 pairs (_)
F7,D9: 4.. / F7 = 4  =>  3 pairs (_) / D9 = 4  =>  4 pairs (_)
E2,F2: 8.. / E2 = 8  =>  3 pairs (_) / F2 = 8  =>  4 pairs (_)
A4,A5: 8.. / A4 = 8  =>  2 pairs (_) / A5 = 8  =>  3 pairs (_)
F8,E9: 8.. / F8 = 8  =>  3 pairs (_) / E9 = 8  =>  4 pairs (_)
E2,E9: 8.. / E2 = 8  =>  3 pairs (_) / E9 = 8  =>  4 pairs (_)
F2,F8: 8.. / F2 = 8  =>  4 pairs (_) / F8 = 8  =>  3 pairs (_)
H2,I2: 9.. / H2 = 9  =>  1 pairs (_) / I2 = 9  =>  1 pairs (_)
B8,B9: 9.. / B8 = 9  =>  2 pairs (_) / B9 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.892174  START: 00:09:50.695234  END: 00:09:58.587408 2020-12-03
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,F6: 2.. / D4 = 2 ==>  3 pairs (_) / F6 = 2 ==>  6 pairs (_)
F2,F8: 8.. / F2 = 8 ==>  4 pairs (_) / F8 = 8 ==>  3 pairs (_)
E2,E9: 8.. / E2 = 8 ==>  3 pairs (_) / E9 = 8 ==>  4 pairs (_)
F8,E9: 8.. / F8 = 8 ==>  3 pairs (_) / E9 = 8 ==>  4 pairs (_)
E2,F2: 8.. / E2 = 8 ==>  3 pairs (_) / F2 = 8 ==>  4 pairs (_)
F7,D9: 4.. / F7 = 4 ==>  3 pairs (_) / D9 = 4 ==>  4 pairs (_)
E7,D8: 1.. / E7 = 1 ==>  0 pairs (*) / D8 = 1  =>  0 pairs (X)
* DURATION: 0:01:54.452150  START: 00:10:10.574764  END: 00:12:05.026914 2020-12-03
* REASONING D4,F6: 2..
* DIS # F6: 2 # D5: 5,6 => CTR => D5: 3
* CNT   1 HDP CHAINS /  54 HYP OPENED
* REASONING F7,D9: 4..
* DIS # D9: 4 # I9: 2,5 => CTR => I9: 7,8,9
* CNT   1 HDP CHAINS /  52 HYP OPENED
* REASONING E7,D8: 1..
* PRF # E7: 1 # D5: 5,6 => SOL
* STA # E7: 1 + D5: 5,6
* CNT   1 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (7)
* SOLUTION FOUND

Header Info

14335;kz1a;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A7: 4,7 => UNS
* INC # A7: 1,2,3,5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A7: 4,7 => UNS
* INC # A7: 1,2,3,5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A7: 4,7 => UNS
* INC # A7: 1,2,3,5 => UNS
* INC # A7: 4,7 # A9: 4,7 => UNS
* INC # A7: 4,7 # A9: 2,5 => UNS
* INC # A7: 4,7 # D8: 1,5 => UNS
* INC # A7: 4,7 # D8: 6 => UNS
* INC # A7: 4,7 # B7: 1,5 => UNS
* INC # A7: 4,7 # B7: 3 => UNS
* INC # A7: 4,7 # I7: 2,5 => UNS
* INC # A7: 4,7 # I7: 3 => UNS
* INC # A7: 4,7 # H1: 2,5 => UNS
* INC # A7: 4,7 # H2: 2,5 => UNS
* INC # A7: 4,7 # G8: 8,9 => UNS
* INC # A7: 4,7 # H8: 8,9 => UNS
* INC # A7: 4,7 # I9: 8,9 => UNS
* INC # A7: 4,7 # G5: 8,9 => UNS
* INC # A7: 4,7 # G5: 4 => UNS
* INC # A7: 4,7 => UNS
* INC # A7: 1,2,3,5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,F6: 2..:

* INC # F6: 2 # D3: 4,6 => UNS
* INC # F6: 2 # D3: 1,2,3 => UNS
* INC # F6: 2 # H1: 4,6 => UNS
* INC # F6: 2 # H1: 2,5 => UNS
* DIS # F6: 2 # D5: 5,6 => CTR => D5: 3
* INC # F6: 2 + D5: 3 # E5: 5,6 => UNS
* INC # F6: 2 + D5: 3 # E5: 5,6 => UNS
* INC # F6: 2 + D5: 3 # E5: 7 => UNS
* INC # F6: 2 + D5: 3 # C4: 5,6 => UNS
* INC # F6: 2 + D5: 3 # C4: 1 => UNS
* INC # F6: 2 + D5: 3 # D8: 5,6 => UNS
* INC # F6: 2 + D5: 3 # D9: 5,6 => UNS
* INC # F6: 2 + D5: 3 # D8: 1,5 => UNS
* INC # F6: 2 + D5: 3 # D8: 6 => UNS
* INC # F6: 2 + D5: 3 # A7: 1,5 => UNS
* INC # F6: 2 + D5: 3 # B7: 1,5 => UNS
* INC # F6: 2 + D5: 3 # A7: 4,7 => UNS
* INC # F6: 2 + D5: 3 # A7: 1,2,3,5 => UNS
* INC # F6: 2 + D5: 3 # D3: 4,6 => UNS
* INC # F6: 2 + D5: 3 # D3: 1,2 => UNS
* INC # F6: 2 + D5: 3 # H1: 4,6 => UNS
* INC # F6: 2 + D5: 3 # H1: 2,5 => UNS
* INC # F6: 2 + D5: 3 # E5: 5,6 => UNS
* INC # F6: 2 + D5: 3 # E5: 7 => UNS
* INC # F6: 2 + D5: 3 # C4: 5,6 => UNS
* INC # F6: 2 + D5: 3 # C4: 1 => UNS
* INC # F6: 2 + D5: 3 # D8: 5,6 => UNS
* INC # F6: 2 + D5: 3 # D9: 5,6 => UNS
* INC # F6: 2 + D5: 3 # E5: 6,7 => UNS
* INC # F6: 2 + D5: 3 # E5: 5 => UNS
* INC # F6: 2 + D5: 3 # H6: 6,7 => UNS
* INC # F6: 2 + D5: 3 # I6: 6,7 => UNS
* INC # F6: 2 + D5: 3 # D8: 1,5 => UNS
* INC # F6: 2 + D5: 3 # D8: 6 => UNS
* INC # F6: 2 + D5: 3 # A7: 1,5 => UNS
* INC # F6: 2 + D5: 3 # B7: 1,5 => UNS
* INC # F6: 2 + D5: 3 # A7: 4,7 => UNS
* INC # F6: 2 + D5: 3 # A7: 1,2,3,5 => UNS
* INC # F6: 2 + D5: 3 => UNS
* INC # D4: 2 # E5: 6,7 => UNS
* INC # D4: 2 # E6: 6,7 => UNS
* INC # D4: 2 # H6: 6,7 => UNS
* INC # D4: 2 # I6: 6,7 => UNS
* INC # D4: 2 # F8: 6,7 => UNS
* INC # D4: 2 # F8: 8 => UNS
* INC # D4: 2 # I4: 1,8 => UNS
* INC # D4: 2 # I4: 6 => UNS
* INC # D4: 2 # A4: 1,8 => UNS
* INC # D4: 2 # A4: 5 => UNS
* INC # D4: 2 # G3: 1,8 => UNS
* INC # D4: 2 # G3: 2,3,4 => UNS
* INC # D4: 2 # A7: 4,7 => UNS
* INC # D4: 2 # A7: 1,2,3,5 => UNS
* INC # D4: 2 => UNS
* CNT  54 HDP CHAINS /  54 HYP OPENED

Full list of HDP chains traversed for F2,F8: 8..:

* INC # F2: 8 # E1: 1,3 => UNS
* INC # F2: 8 # D2: 1,3 => UNS
* INC # F2: 8 # D3: 1,3 => UNS
* INC # F2: 8 # B2: 1,3 => UNS
* INC # F2: 8 # C2: 1,3 => UNS
* INC # F2: 8 # I2: 1,3 => UNS
* INC # F2: 8 # A7: 4,7 => UNS
* INC # F2: 8 # A7: 1,2,3,5 => UNS
* INC # F2: 8 # F6: 6,7 => UNS
* INC # F2: 8 # F6: 2 => UNS
* INC # F2: 8 # I9: 2,9 => UNS
* INC # F2: 8 # I9: 5,7 => UNS
* INC # F2: 8 => UNS
* INC # F8: 8 # F1: 2,4 => UNS
* INC # F8: 8 # D2: 2,4 => UNS
* INC # F8: 8 # D3: 2,4 => UNS
* INC # F8: 8 # C2: 2,4 => UNS
* INC # F8: 8 # H2: 2,4 => UNS
* INC # F8: 8 # A7: 4,7 => UNS
* INC # F8: 8 # A7: 1,2,3,5 => UNS
* INC # F8: 8 # B8: 3,9 => UNS
* INC # F8: 8 # B8: 1,5,6 => UNS
* INC # F8: 8 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for E2,E9: 8..:

* INC # E9: 8 # E1: 1,3 => UNS
* INC # E9: 8 # D2: 1,3 => UNS
* INC # E9: 8 # D3: 1,3 => UNS
* INC # E9: 8 # B2: 1,3 => UNS
* INC # E9: 8 # C2: 1,3 => UNS
* INC # E9: 8 # I2: 1,3 => UNS
* INC # E9: 8 # A7: 4,7 => UNS
* INC # E9: 8 # A7: 1,2,3,5 => UNS
* INC # E9: 8 # F6: 6,7 => UNS
* INC # E9: 8 # F6: 2 => UNS
* INC # E9: 8 # I9: 2,9 => UNS
* INC # E9: 8 # I9: 5,7 => UNS
* INC # E9: 8 => UNS
* INC # E2: 8 # F1: 2,4 => UNS
* INC # E2: 8 # D2: 2,4 => UNS
* INC # E2: 8 # D3: 2,4 => UNS
* INC # E2: 8 # C2: 2,4 => UNS
* INC # E2: 8 # H2: 2,4 => UNS
* INC # E2: 8 # A7: 4,7 => UNS
* INC # E2: 8 # A7: 1,2,3,5 => UNS
* INC # E2: 8 # B8: 3,9 => UNS
* INC # E2: 8 # B8: 1,5,6 => UNS
* INC # E2: 8 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for F8,E9: 8..:

* INC # E9: 8 # E1: 1,3 => UNS
* INC # E9: 8 # D2: 1,3 => UNS
* INC # E9: 8 # D3: 1,3 => UNS
* INC # E9: 8 # B2: 1,3 => UNS
* INC # E9: 8 # C2: 1,3 => UNS
* INC # E9: 8 # I2: 1,3 => UNS
* INC # E9: 8 # A7: 4,7 => UNS
* INC # E9: 8 # A7: 1,2,3,5 => UNS
* INC # E9: 8 # F6: 6,7 => UNS
* INC # E9: 8 # F6: 2 => UNS
* INC # E9: 8 # I9: 2,9 => UNS
* INC # E9: 8 # I9: 5,7 => UNS
* INC # E9: 8 => UNS
* INC # F8: 8 # F1: 2,4 => UNS
* INC # F8: 8 # D2: 2,4 => UNS
* INC # F8: 8 # D3: 2,4 => UNS
* INC # F8: 8 # C2: 2,4 => UNS
* INC # F8: 8 # H2: 2,4 => UNS
* INC # F8: 8 # A7: 4,7 => UNS
* INC # F8: 8 # A7: 1,2,3,5 => UNS
* INC # F8: 8 # B8: 3,9 => UNS
* INC # F8: 8 # B8: 1,5,6 => UNS
* INC # F8: 8 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for E2,F2: 8..:

* INC # F2: 8 # E1: 1,3 => UNS
* INC # F2: 8 # D2: 1,3 => UNS
* INC # F2: 8 # D3: 1,3 => UNS
* INC # F2: 8 # B2: 1,3 => UNS
* INC # F2: 8 # C2: 1,3 => UNS
* INC # F2: 8 # I2: 1,3 => UNS
* INC # F2: 8 # A7: 4,7 => UNS
* INC # F2: 8 # A7: 1,2,3,5 => UNS
* INC # F2: 8 # F6: 6,7 => UNS
* INC # F2: 8 # F6: 2 => UNS
* INC # F2: 8 # I9: 2,9 => UNS
* INC # F2: 8 # I9: 5,7 => UNS
* INC # F2: 8 => UNS
* INC # E2: 8 # F1: 2,4 => UNS
* INC # E2: 8 # D2: 2,4 => UNS
* INC # E2: 8 # D3: 2,4 => UNS
* INC # E2: 8 # C2: 2,4 => UNS
* INC # E2: 8 # H2: 2,4 => UNS
* INC # E2: 8 # A7: 4,7 => UNS
* INC # E2: 8 # A7: 1,2,3,5 => UNS
* INC # E2: 8 # B8: 3,9 => UNS
* INC # E2: 8 # B8: 1,5,6 => UNS
* INC # E2: 8 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for F7,D9: 4..:

* INC # D9: 4 # D4: 2,6 => UNS
* INC # D9: 4 # D4: 5 => UNS
* INC # D9: 4 # H6: 2,6 => UNS
* INC # D9: 4 # I6: 2,6 => UNS
* INC # D9: 4 # F1: 2,6 => UNS
* INC # D9: 4 # F1: 4 => UNS
* INC # D9: 4 # D8: 1,5 => UNS
* INC # D9: 4 # D8: 6 => UNS
* INC # D9: 4 # A7: 1,5 => UNS
* INC # D9: 4 # B7: 1,5 => UNS
* INC # D9: 4 # E9: 6,8 => UNS
* INC # D9: 4 # E9: 5 => UNS
* INC # D9: 4 # I7: 2,5 => UNS
* DIS # D9: 4 # I9: 2,5 => CTR => I9: 7,8,9
* INC # D9: 4 + I9: 7,8,9 # I7: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # I7: 3 => UNS
* INC # D9: 4 + I9: 7,8,9 # A7: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # A7: 1,3,4 => UNS
* INC # D9: 4 + I9: 7,8,9 # H1: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # H2: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # D4: 2,6 => UNS
* INC # D9: 4 + I9: 7,8,9 # D4: 5 => UNS
* INC # D9: 4 + I9: 7,8,9 # H6: 2,6 => UNS
* INC # D9: 4 + I9: 7,8,9 # I6: 2,6 => UNS
* INC # D9: 4 + I9: 7,8,9 # F1: 2,6 => UNS
* INC # D9: 4 + I9: 7,8,9 # F1: 4 => UNS
* INC # D9: 4 + I9: 7,8,9 # D8: 1,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # D8: 6 => UNS
* INC # D9: 4 + I9: 7,8,9 # A7: 1,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # B7: 1,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # E9: 6,8 => UNS
* INC # D9: 4 + I9: 7,8,9 # E9: 5 => UNS
* INC # D9: 4 + I9: 7,8,9 # I7: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # I7: 3 => UNS
* INC # D9: 4 + I9: 7,8,9 # A7: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # A7: 1,3,4 => UNS
* INC # D9: 4 + I9: 7,8,9 # H1: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 # H2: 2,5 => UNS
* INC # D9: 4 + I9: 7,8,9 => UNS
* INC # F7: 4 # D3: 2,6 => UNS
* INC # F7: 4 # D3: 1,3,4 => UNS
* INC # F7: 4 # H1: 2,6 => UNS
* INC # F7: 4 # I1: 2,6 => UNS
* INC # F7: 4 # F6: 2,6 => UNS
* INC # F7: 4 # F6: 7 => UNS
* INC # F7: 4 # D8: 5,6 => UNS
* INC # F7: 4 # E9: 5,6 => UNS
* INC # F7: 4 # B9: 5,6 => UNS
* INC # F7: 4 # C9: 5,6 => UNS
* INC # F7: 4 # D4: 5,6 => UNS
* INC # F7: 4 # D5: 5,6 => UNS
* INC # F7: 4 => UNS
* CNT  52 HDP CHAINS /  52 HYP OPENED

Full list of HDP chains traversed for E7,D8: 1..:

* INC # E7: 1 # D3: 3,6 => UNS
* INC # E7: 1 # D3: 1,2,4 => UNS
* INC # E7: 1 # I1: 3,6 => UNS
* INC # E7: 1 # I1: 1,2,5 => UNS
* INC # E7: 1 # E5: 3,6 => UNS
* INC # E7: 1 # E6: 3,6 => UNS
* INC # E7: 1 # A7: 4,7 => UNS
* INC # E7: 1 # A7: 2,3,5 => UNS
* INC # E7: 1 # D9: 5,6 => UNS
* INC # E7: 1 # E9: 5,6 => UNS
* INC # E7: 1 # B8: 5,6 => UNS
* INC # E7: 1 # C8: 5,6 => UNS
* INC # E7: 1 # D4: 5,6 => UNS
* PRF # E7: 1 # D5: 5,6 => SOL
* STA # E7: 1 + D5: 5,6
* CNT  14 HDP CHAINS /  15 HYP OPENED