Analysis of xx-ph-00248059-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: .......12..1..3....4..5.6.....5..7...6.....247...4...6..38.9....5..7.2..9.......8 initial

Autosolve

position: .......12..1..3....4..5.6.....5..7...6.....247...4...6..38.9....5..7.2..9....5..8 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

Time used: 0:00:00.000006

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:34.824068

List of important HDP chains detected for E4,F4: 6..:

* PRF # E4: 6 # E2: 2 # G1: 4,5 => SOL
* STA # E4: 6 # E2: 2 + G1: 4,5
* CNT   1 HDP CHAINS /  46 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

.......12..1..3....4..5.6.....5..7...6.....247...4...6..38.9....5..7.2..9.......8 initial
.......12..1..3....4..5.6.....5..7...6.....247...4...6..38.9....5..7.2..9....5..8 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D3,F3: 1.. / D3 = 1  =>  0 pairs (_) / F3 = 1  =>  3 pairs (_)
A4,C4: 4.. / A4 = 4  =>  1 pairs (_) / C4 = 4  =>  1 pairs (_)
F1,F8: 4.. / F1 = 4  =>  1 pairs (_) / F8 = 4  =>  1 pairs (_)
I2,I7: 5.. / I2 = 5  =>  1 pairs (_) / I7 = 5  =>  2 pairs (_)
E4,F4: 6.. / E4 = 6  =>  4 pairs (_) / F4 = 6  =>  1 pairs (_)
D5,F5: 7.. / D5 = 7  =>  1 pairs (_) / F5 = 7  =>  0 pairs (_)
A8,C8: 8.. / A8 = 8  =>  2 pairs (_) / C8 = 8  =>  1 pairs (_)
H8,I8: 9.. / H8 = 9  =>  2 pairs (_) / I8 = 9  =>  3 pairs (_)
* DURATION: 0:00:04.753866  START: 17:12:15.828011  END: 17:12:20.581877 2020-10-01
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E4,F4: 6.. / E4 = 6 ==>  4 pairs (_) / F4 = 6 ==>  1 pairs (_)
H8,I8: 9.. / H8 = 9 ==>  2 pairs (_) / I8 = 9 ==>  3 pairs (_)
D3,F3: 1.. / D3 = 1 ==>  0 pairs (_) / F3 = 1 ==>  3 pairs (_)
A8,C8: 8.. / A8 = 8 ==>  2 pairs (_) / C8 = 8 ==>  1 pairs (_)
I2,I7: 5.. / I2 = 5 ==>  1 pairs (_) / I7 = 5 ==>  2 pairs (_)
F1,F8: 4.. / F1 = 4 ==>  1 pairs (_) / F8 = 4 ==>  1 pairs (_)
A4,C4: 4.. / A4 = 4 ==>  1 pairs (_) / C4 = 4 ==>  1 pairs (_)
D5,F5: 7.. / D5 = 7 ==>  1 pairs (_) / F5 = 7 ==>  0 pairs (_)
* DURATION: 0:00:57.602784  START: 17:12:20.582482  END: 17:13:18.185266 2020-10-01
* DCP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
E4,F4: 6.. / E4 = 6 ==>  0 pairs (*) / F4 = 6  =>  0 pairs (X)
* DURATION: 0:00:34.822297  START: 17:13:18.272279  END: 17:13:53.094576 2020-10-01
* REASONING E4,F4: 6..
* PRF # E4: 6 # E2: 2 # G1: 4,5 => SOL
* STA # E4: 6 # E2: 2 + G1: 4,5
* CNT   1 HDP CHAINS /  46 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

248059;12_12_03;dob;23;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,F4: 6..:

* INC # E4: 6 # E2: 8,9 => UNS
* INC # E4: 6 # E2: 2 => UNS
* INC # E4: 6 # B1: 8,9 => UNS
* INC # E4: 6 # C1: 8,9 => UNS
* INC # E4: 6 # G1: 8,9 => UNS
* INC # E4: 6 # E5: 8,9 => UNS
* INC # E4: 6 # E5: 1,3 => UNS
* INC # E4: 6 # D1: 4,6 => UNS
* INC # E4: 6 # D2: 4,6 => UNS
* INC # E4: 6 # D9: 1,2 => UNS
* INC # E4: 6 # E9: 1,2 => UNS
* INC # E4: 6 # A7: 1,2 => UNS
* INC # E4: 6 # B7: 1,2 => UNS
* INC # E4: 6 # D8: 4,6 => UNS
* INC # E4: 6 # D9: 4,6 => UNS
* INC # E4: 6 # A8: 4,6 => UNS
* INC # E4: 6 # C8: 4,6 => UNS
* INC # E4: 6 # H8: 4,6 => UNS
* INC # E4: 6 => UNS
* INC # F4: 6 # D8: 1,4 => UNS
* INC # F4: 6 # D9: 1,4 => UNS
* INC # F4: 6 # A8: 1,4 => UNS
* INC # F4: 6 # A8: 6,8 => UNS
* INC # F4: 6 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for H8,I8: 9..:

* INC # I8: 9 # H2: 5,7 => UNS
* INC # I8: 9 # H2: 4,8,9 => UNS
* INC # I8: 9 # I7: 5,7 => UNS
* INC # I8: 9 # I7: 1 => UNS
* INC # I8: 9 # H3: 3,7 => UNS
* INC # I8: 9 # H3: 8,9 => UNS
* INC # I8: 9 # G5: 1,3 => UNS
* INC # I8: 9 # G6: 1,3 => UNS
* INC # I8: 9 # A4: 1,3 => UNS
* INC # I8: 9 # B4: 1,3 => UNS
* INC # I8: 9 # E4: 1,3 => UNS
* INC # I8: 9 => UNS
* INC # H8: 9 # G5: 3,8 => UNS
* INC # H8: 9 # G6: 3,8 => UNS
* INC # H8: 9 # H6: 3,8 => UNS
* INC # H8: 9 # A4: 3,8 => UNS
* INC # H8: 9 # B4: 3,8 => UNS
* INC # H8: 9 # E4: 3,8 => UNS
* INC # H8: 9 # H3: 3,8 => UNS
* INC # H8: 9 # H3: 7 => UNS
* INC # H8: 9 # G9: 1,3 => UNS
* INC # H8: 9 # G9: 4 => UNS
* INC # H8: 9 # D8: 1,3 => UNS
* INC # H8: 9 # D8: 4,6 => UNS
* INC # H8: 9 # I4: 1,3 => UNS
* INC # H8: 9 # I4: 9 => UNS
* INC # H8: 9 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for D3,F3: 1..:

* INC # F3: 1 # F1: 7,8 => UNS
* INC # F3: 1 # F1: 4,6 => UNS
* INC # F3: 1 # F4: 2,8 => UNS
* INC # F3: 1 # F4: 6 => UNS
* INC # F3: 1 # B6: 2,8 => UNS
* INC # F3: 1 # C6: 2,8 => UNS
* INC # F3: 1 # D8: 4,6 => UNS
* INC # F3: 1 # D9: 4,6 => UNS
* INC # F3: 1 # A8: 4,6 => UNS
* INC # F3: 1 # C8: 4,6 => UNS
* INC # F3: 1 # H8: 4,6 => UNS
* INC # F3: 1 # F1: 4,6 => UNS
* INC # F3: 1 # F1: 7,8 => UNS
* INC # F3: 1 => UNS
* INC # D3: 1 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A8,C8: 8..:

* INC # A8: 8 # A4: 2,3 => UNS
* INC # A8: 8 # A4: 1,4 => UNS
* INC # A8: 8 # A7: 4,6 => UNS
* INC # A8: 8 # C9: 4,6 => UNS
* INC # A8: 8 # D8: 4,6 => UNS
* INC # A8: 8 # F8: 4,6 => UNS
* INC # A8: 8 # H8: 4,6 => UNS
* INC # A8: 8 => UNS
* INC # C8: 8 # C6: 5,9 => UNS
* INC # C8: 8 # C6: 2 => UNS
* INC # C8: 8 # G5: 5,9 => UNS
* INC # C8: 8 # G5: 1,3,8 => UNS
* INC # C8: 8 # C1: 5,9 => UNS
* INC # C8: 8 # C1: 6,7 => UNS
* INC # C8: 8 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for I2,I7: 5..:

* INC # I7: 5 # I3: 7,9 => UNS
* INC # I7: 5 # I3: 3 => UNS
* INC # I7: 5 # B2: 7,9 => UNS
* INC # I7: 5 # D2: 7,9 => UNS
* INC # I7: 5 # G9: 1,4 => UNS
* INC # I7: 5 # G9: 3 => UNS
* INC # I7: 5 # A7: 1,4 => UNS
* INC # I7: 5 # A7: 2,6 => UNS
* INC # I7: 5 => UNS
* INC # I2: 5 # B7: 1,7 => UNS
* INC # I2: 5 # B7: 2 => UNS
* INC # I2: 5 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for F1,F8: 4..:

* INC # F1: 4 # E7: 1,6 => UNS
* INC # F1: 4 # D8: 1,6 => UNS
* INC # F1: 4 # D9: 1,6 => UNS
* INC # F1: 4 # E9: 1,6 => UNS
* INC # F1: 4 # A8: 1,6 => UNS
* INC # F1: 4 # A8: 4,8 => UNS
* INC # F1: 4 # F4: 1,6 => UNS
* INC # F1: 4 # F4: 2,8 => UNS
* INC # F1: 4 => UNS
* INC # F8: 4 # A8: 6,8 => UNS
* INC # F8: 4 # A8: 1 => UNS
* INC # F8: 4 # C1: 6,8 => UNS
* INC # F8: 4 # C1: 5,7,9 => UNS
* INC # F8: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for A4,C4: 4..:

* INC # A4: 4 # I8: 1,3 => UNS
* INC # A4: 4 # I8: 9 => UNS
* INC # A4: 4 # D9: 1,3 => UNS
* INC # A4: 4 # E9: 1,3 => UNS
* INC # A4: 4 # G5: 1,3 => UNS
* INC # A4: 4 # G6: 1,3 => UNS
* INC # A4: 4 => UNS
* INC # C4: 4 # A8: 6,8 => UNS
* INC # C4: 4 # A8: 1,4 => UNS
* INC # C4: 4 # C1: 6,8 => UNS
* INC # C4: 4 # C1: 5,7,9 => UNS
* INC # C4: 4 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for D5,F5: 7..:

* INC # D5: 7 # E4: 1,8 => UNS
* INC # D5: 7 # F4: 1,8 => UNS
* INC # D5: 7 # E5: 1,8 => UNS
* INC # D5: 7 # F6: 1,8 => UNS
* INC # D5: 7 # A5: 1,8 => UNS
* INC # D5: 7 # G5: 1,8 => UNS
* INC # D5: 7 # F3: 1,8 => UNS
* INC # D5: 7 # F3: 2,7 => UNS
* INC # D5: 7 => UNS
* INC # F5: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,F4: 6..:

* INC # E4: 6 # E2: 8,9 => UNS
* INC # E4: 6 # E2: 2 => UNS
* INC # E4: 6 # B1: 8,9 => UNS
* INC # E4: 6 # C1: 8,9 => UNS
* INC # E4: 6 # G1: 8,9 => UNS
* INC # E4: 6 # E5: 8,9 => UNS
* INC # E4: 6 # E5: 1,3 => UNS
* INC # E4: 6 # D1: 4,6 => UNS
* INC # E4: 6 # D2: 4,6 => UNS
* INC # E4: 6 # D9: 1,2 => UNS
* INC # E4: 6 # E9: 1,2 => UNS
* INC # E4: 6 # A7: 1,2 => UNS
* INC # E4: 6 # B7: 1,2 => UNS
* INC # E4: 6 # D8: 4,6 => UNS
* INC # E4: 6 # D9: 4,6 => UNS
* INC # E4: 6 # A8: 4,6 => UNS
* INC # E4: 6 # C8: 4,6 => UNS
* INC # E4: 6 # H8: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # B1: 8,9 => UNS
* INC # E4: 6 # E2: 8,9 # C1: 8,9 => UNS
* INC # E4: 6 # E2: 8,9 # G1: 8,9 => UNS
* INC # E4: 6 # E2: 8,9 # D1: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # D2: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # B2: 8,9 => UNS
* INC # E4: 6 # E2: 8,9 # G2: 8,9 => UNS
* INC # E4: 6 # E2: 8,9 # H2: 8,9 => UNS
* INC # E4: 6 # E2: 8,9 # D5: 1,3 => UNS
* INC # E4: 6 # E2: 8,9 # D6: 1,3 => UNS
* INC # E4: 6 # E2: 8,9 # A5: 1,3 => UNS
* INC # E4: 6 # E2: 8,9 # G5: 1,3 => UNS
* INC # E4: 6 # E2: 8,9 # E9: 1,3 => UNS
* INC # E4: 6 # E2: 8,9 # E9: 2 => UNS
* INC # E4: 6 # E2: 8,9 # E9: 1,2 => UNS
* INC # E4: 6 # E2: 8,9 # E9: 3 => UNS
* INC # E4: 6 # E2: 8,9 # A7: 1,2 => UNS
* INC # E4: 6 # E2: 8,9 # B7: 1,2 => UNS
* INC # E4: 6 # E2: 8,9 # D8: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # D9: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # A8: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # C8: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 # H8: 4,6 => UNS
* INC # E4: 6 # E2: 8,9 => UNS
* INC # E4: 6 # E2: 2 # G1: 3,9 => UNS
* PRF # E4: 6 # E2: 2 # G1: 4,5 => SOL
* STA # E4: 6 # E2: 2 + G1: 4,5
* CNT  44 HDP CHAINS /  46 HYP OPENED