Analysis of xx-ph-02317067-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5..8.......4.6....8..4...3..47.3.8.......2..4.13.7...8......7........31. initial

Autosolve

position: 98.7..6..5..8.......4.6..8.8..4.7.3..47.3.8......82.74.13.7...8......7........31. 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: 0:00:47.259840

The following important HDP chains were detected:

* DIS # I1: 1,2 # E8: 4,5 => CTR => E8: 1,2,9
* CNT   1 HDP CHAINS /  99 HYP OPENED

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

Time used: 0:00:00.000017

List of important HDP chains detected for G2,G7: 4..:

* PRF # G2: 4 # I2: 2,9 => SOL
* STA # G2: 4 + I2: 2,9
* CNT   1 HDP CHAINS /  16 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..5..8.......4.6....8..4...3..47.3.8.......2..4.13.7...8......7........31. initial
98.7..6..5..8.......4.6..8.8..4.7.3..47.3.8......82.74.13.7...8......7........31. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C1: 1,2

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A6,B6: 3.. / A6 = 3  =>  1 pairs (_) / B6 = 3  =>  3 pairs (_)
D8,F8: 3.. / D8 = 3  =>  1 pairs (_) / F8 = 3  =>  2 pairs (_)
F1,I1: 3.. / F1 = 3  =>  4 pairs (_) / I1 = 3  =>  1 pairs (_)
A3,A6: 3.. / A3 = 3  =>  3 pairs (_) / A6 = 3  =>  1 pairs (_)
D3,D8: 3.. / D3 = 3  =>  2 pairs (_) / D8 = 3  =>  1 pairs (_)
G2,G7: 4.. / G2 = 4  =>  3 pairs (_) / G7 = 4  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  4 pairs (_) / C2 = 6  =>  1 pairs (_)
I2,I3: 7.. / I2 = 7  =>  1 pairs (_) / I3 = 7  =>  2 pairs (_)
A9,B9: 7.. / A9 = 7  =>  1 pairs (_) / B9 = 7  =>  3 pairs (_)
B2,I2: 7.. / B2 = 7  =>  2 pairs (_) / I2 = 7  =>  1 pairs (_)
A3,A9: 7.. / A3 = 7  =>  3 pairs (_) / A9 = 7  =>  1 pairs (_)
C8,C9: 8.. / C8 = 8  =>  1 pairs (_) / C9 = 8  =>  2 pairs (_)
F8,F9: 8.. / F8 = 8  =>  2 pairs (_) / F9 = 8  =>  1 pairs (_)
C8,F8: 8.. / C8 = 8  =>  1 pairs (_) / F8 = 8  =>  2 pairs (_)
C9,F9: 8.. / C9 = 8  =>  2 pairs (_) / F9 = 8  =>  1 pairs (_)
* DURATION: 0:00:10.297621  START: 03:23:50.207657  END: 03:24:00.505278 2020-11-08
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,C2: 6.. / B2 = 6 ==>  4 pairs (_) / C2 = 6 ==>  1 pairs (_)
F1,I1: 3.. / F1 = 3 ==>  4 pairs (_) / I1 = 3 ==>  1 pairs (_)
G2,G7: 4.. / G2 = 4 ==>  0 pairs (*) / G7 = 4  =>  0 pairs (X)
* DURATION: 0:00:32.113265  START: 03:24:52.935372  END: 03:25:25.048637 2020-11-08
* REASONING G2,G7: 4..
* PRF # G2: 4 # I2: 2,9 => SOL
* STA # G2: 4 + I2: 2,9
* CNT   1 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2317067;2019_03_16;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # C2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # E1: 1,2 => UNS
* INC # I1: 1,2 => UNS
* INC # C4: 1,2 => UNS
* INC # C4: 5,6,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # E1: 1,2 => UNS
* INC # I1: 1,2 => UNS
* INC # C4: 1,2 => UNS
* INC # C4: 5,6,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # E1: 1,2 => UNS
* INC # I1: 1,2 => UNS
* INC # C4: 1,2 => UNS
* INC # C4: 5,6,9 => UNS
* INC # C2: 1,2 # E1: 1,2 => UNS
* INC # C2: 1,2 # E1: 4,5 => UNS
* INC # C2: 1,2 # E2: 1,2 => UNS
* INC # C2: 1,2 # G2: 1,2 => UNS
* INC # C2: 1,2 => UNS
* INC # A3: 1,2 # E1: 1,2 => UNS
* INC # A3: 1,2 # I1: 1,2 => UNS
* INC # A3: 1,2 # C4: 1,2 => UNS
* INC # A3: 1,2 # C4: 5,9 => UNS
* INC # A3: 1,2 # I2: 3,7 => UNS
* INC # A3: 1,2 # I2: 1,2,9 => UNS
* INC # A3: 1,2 # D3: 1,2 => UNS
* INC # A3: 1,2 # G3: 1,2 => UNS
* INC # A3: 1,2 # I3: 1,2 => UNS
* INC # A3: 1,2 # A5: 1,2 => UNS
* INC # A3: 1,2 # A5: 6 => UNS
* INC # A3: 1,2 # I3: 3,7 => UNS
* INC # A3: 1,2 # I3: 1,2,5,9 => UNS
* INC # A3: 1,2 => UNS
* INC # E1: 1,2 # C2: 1,2 => UNS
* INC # E1: 1,2 # A3: 1,2 => UNS
* INC # E1: 1,2 # C4: 1,2 => UNS
* INC # E1: 1,2 # C4: 5,6,9 => UNS
* INC # E1: 1,2 # E2: 1,2 => UNS
* INC # E1: 1,2 # D3: 1,2 => UNS
* INC # E1: 1,2 # E8: 1,2 => UNS
* INC # E1: 1,2 # E8: 4,5,9 => UNS
* INC # E1: 1,2 # F1: 4,5 => UNS
* INC # E1: 1,2 # F1: 3 => UNS
* INC # E1: 1,2 # H7: 4,5 => UNS
* INC # E1: 1,2 # H8: 4,5 => UNS
* INC # E1: 1,2 # I3: 3,5 => UNS
* INC # E1: 1,2 # I3: 1,2,7,9 => UNS
* INC # E1: 1,2 # F1: 3,5 => UNS
* INC # E1: 1,2 # F1: 4 => UNS
* INC # E1: 1,2 => UNS
* INC # I1: 1,2 # A3: 1,2 => UNS
* INC # I1: 1,2 # A3: 3,7 => UNS
* INC # I1: 1,2 # C4: 1,2 => UNS
* INC # I1: 1,2 # C4: 5,9 => UNS
* INC # I1: 1,2 # A3: 3,7 => UNS
* INC # I1: 1,2 # B3: 3,7 => UNS
* DIS # I1: 1,2 # E8: 4,5 => CTR => E8: 1,2,9
* INC # I1: 1,2 + E8: 1,2,9 # E9: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # E9: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # E9: 2,9 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # E9: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # E9: 2,9 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # H7: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # H8: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # G2: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # G3: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # I4: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # I5: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # A3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # B3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # A3: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # A3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # C4: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # C4: 5,9 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # A3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # B3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # E9: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # E9: 2,9 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # H7: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # H8: 4,5 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # G2: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # G3: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # I4: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # I5: 1,2 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # A3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 # B3: 3,7 => UNS
* INC # I1: 1,2 + E8: 1,2,9 => UNS
* INC # C4: 1,2 # A3: 1,2 => UNS
* INC # C4: 1,2 # A3: 3,7 => UNS
* INC # C4: 1,2 # E1: 1,2 => UNS
* INC # C4: 1,2 # I1: 1,2 => UNS
* INC # C4: 1,2 # A5: 1,2 => UNS
* INC # C4: 1,2 # A5: 6 => UNS
* INC # C4: 1,2 # G4: 1,2 => UNS
* INC # C4: 1,2 # I4: 1,2 => UNS
* INC # C4: 1,2 # B4: 5,9 => UNS
* INC # C4: 1,2 # B6: 5,9 => UNS
* INC # C4: 1,2 # D6: 5,9 => UNS
* INC # C4: 1,2 # G6: 5,9 => UNS
* INC # C4: 1,2 # C8: 5,9 => UNS
* INC # C4: 1,2 # C9: 5,9 => UNS
* INC # C4: 1,2 => UNS
* INC # C4: 5,6,9 # C2: 1,2 => UNS
* INC # C4: 5,6,9 # A3: 1,2 => UNS
* INC # C4: 5,6,9 # E1: 1,2 => UNS
* INC # C4: 5,6,9 # I1: 1,2 => UNS
* INC # C4: 5,6,9 => UNS
* CNT  99 HDP CHAINS /  99 HYP OPENED

A4. Deep Constraint Pair Analysis

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

* INC # B2: 6 # E1: 1,2 => UNS
* INC # B2: 6 # E1: 4,5 => UNS
* INC # B2: 6 # E2: 1,2 => UNS
* INC # B2: 6 # G2: 1,2 => UNS
* INC # B2: 6 => UNS
* INC # C2: 6 # A3: 1,2 => UNS
* INC # C2: 6 # A3: 3,7 => UNS
* INC # C2: 6 # E1: 1,2 => UNS
* INC # C2: 6 # I1: 1,2 => UNS
* INC # C2: 6 # C4: 1,2 => UNS
* INC # C2: 6 # C4: 5,9 => UNS
* INC # C2: 6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for F1,I1: 3..:

* INC # F1: 3 # A3: 1,2 => UNS
* INC # F1: 3 # A3: 3,7 => UNS
* INC # F1: 3 # E1: 1,2 => UNS
* INC # F1: 3 # I1: 1,2 => UNS
* INC # F1: 3 # C4: 1,2 => UNS
* INC # F1: 3 # C4: 5,9 => UNS
* INC # F1: 3 # A3: 3,7 => UNS
* INC # F1: 3 # B3: 3,7 => UNS
* INC # F1: 3 # A3: 3,7 => UNS
* INC # F1: 3 # B3: 3,7 => UNS
* INC # F1: 3 => UNS
* INC # I1: 3 # C2: 1,2 => UNS
* INC # I1: 3 # A3: 1,2 => UNS
* INC # I1: 3 # E1: 1,2 => UNS
* INC # I1: 3 # E1: 4,5 => UNS
* INC # I1: 3 # C4: 1,2 => UNS
* INC # I1: 3 # C4: 5,6,9 => UNS
* INC # I1: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for G2,G7: 4..:

* INC # G2: 4 # C2: 1,2 => UNS
* INC # G2: 4 # A3: 1,2 => UNS
* INC # G2: 4 # E1: 1,2 => UNS
* INC # G2: 4 # I1: 1,2 => UNS
* INC # G2: 4 # C4: 1,2 => UNS
* INC # G2: 4 # C4: 5,6,9 => UNS
* INC # G2: 4 # I1: 2,5 => UNS
* INC # G2: 4 # G3: 2,5 => UNS
* INC # G2: 4 # I3: 2,5 => UNS
* INC # G2: 4 # E1: 2,5 => UNS
* INC # G2: 4 # E1: 1,4 => UNS
* INC # G2: 4 # H5: 2,5 => UNS
* INC # G2: 4 # H7: 2,5 => UNS
* INC # G2: 4 # H8: 2,5 => UNS
* PRF # G2: 4 # I2: 2,9 => SOL
* STA # G2: 4 + I2: 2,9
* CNT  15 HDP CHAINS /  16 HYP OPENED