Analysis of xx-ph-00001522-565-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4...... initial

Autosolve

position: 1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4.6.... 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

Time used: 0:00:00.000006

List of important HDP chains detected for C7,B9: 1..:

* DIS # C7: 1 # G9: 2,3 => CTR => G9: 1,7,8,9
* CNT   1 HDP CHAINS /  31 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: 0:00:40.303290

List of important HDP chains detected for E4,E7: 7..:

* DIS # E4: 7 # C5: 1,8 # B1: 2,3 => CTR => B1: 4
* DIS # E4: 7 # C5: 1,8 + B1: 4 => CTR => C5: 2,3
* DIS # E4: 7 + C5: 2,3 # C7: 2,3 => CTR => C7: 1,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 # A2: 4,6 => CTR => A2: 3,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 # A3: 4,6 => CTR => A3: 2,7,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 # A5: 2,3 => CTR => A5: 4
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 2,9 => CTR => G4: 1,8
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 # I7: 1,9 => CTR => I7: 4,7
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 + I7: 4,7 => CTR => G5: 2
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # C6: 6,7 => CTR => C6: 1,8
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 + C6: 1,8 => CTR => E4: 1,4,8,9
* STA E4: 1,4,8,9
* CNT  11 HDP CHAINS /  37 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

1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4...... initial
1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4.6.... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C7,B9: 1.. / C7 = 1  =>  1 pairs (_) / B9 = 1  =>  1 pairs (_)
D1,E1: 5.. / D1 = 5  =>  2 pairs (_) / E1 = 5  =>  1 pairs (_)
A7,A9: 5.. / A7 = 5  =>  0 pairs (_) / A9 = 5  =>  0 pairs (_)
G2,I3: 6.. / G2 = 6  =>  1 pairs (_) / I3 = 6  =>  0 pairs (_)
G4,I6: 6.. / G4 = 6  =>  0 pairs (_) / I6 = 6  =>  1 pairs (_)
A4,G4: 6.. / A4 = 6  =>  1 pairs (_) / G4 = 6  =>  0 pairs (_)
G2,G4: 6.. / G2 = 6  =>  1 pairs (_) / G4 = 6  =>  0 pairs (_)
I3,I6: 6.. / I3 = 6  =>  0 pairs (_) / I6 = 6  =>  1 pairs (_)
E7,F9: 7.. / E7 = 7  =>  2 pairs (_) / F9 = 7  =>  2 pairs (_)
E4,E7: 7.. / E4 = 7  =>  2 pairs (_) / E7 = 7  =>  2 pairs (_)
E2,D3: 8.. / E2 = 8  =>  0 pairs (_) / D3 = 8  =>  2 pairs (_)
G9,I9: 8.. / G9 = 8  =>  1 pairs (_) / I9 = 8  =>  1 pairs (_)
C2,E2: 8.. / C2 = 8  =>  2 pairs (_) / E2 = 8  =>  0 pairs (_)
* DURATION: 0:00:09.829126  START: 03:15:43.638429  END: 03:15:53.467555 2020-11-29
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E4,E7: 7.. / E4 = 7 ==>  2 pairs (_) / E7 = 7 ==>  2 pairs (_)
E7,F9: 7.. / E7 = 7 ==>  2 pairs (_) / F9 = 7 ==>  2 pairs (_)
D1,E1: 5.. / D1 = 5 ==>  2 pairs (_) / E1 = 5 ==>  1 pairs (_)
C2,E2: 8.. / C2 = 8 ==>  2 pairs (_) / E2 = 8 ==>  0 pairs (_)
E2,D3: 8.. / E2 = 8 ==>  0 pairs (_) / D3 = 8 ==>  2 pairs (_)
G9,I9: 8.. / G9 = 8 ==>  1 pairs (_) / I9 = 8 ==>  1 pairs (_)
C7,B9: 1.. / C7 = 1 ==>  1 pairs (_) / B9 = 1 ==>  1 pairs (_)
I3,I6: 6.. / I3 = 6 ==>  0 pairs (_) / I6 = 6 ==>  1 pairs (_)
G2,G4: 6.. / G2 = 6 ==>  1 pairs (_) / G4 = 6 ==>  0 pairs (_)
A4,G4: 6.. / A4 = 6 ==>  1 pairs (_) / G4 = 6 ==>  0 pairs (_)
G4,I6: 6.. / G4 = 6 ==>  0 pairs (_) / I6 = 6 ==>  1 pairs (_)
G2,I3: 6.. / G2 = 6 ==>  1 pairs (_) / I3 = 6 ==>  0 pairs (_)
A7,A9: 5.. / A7 = 5 ==>  0 pairs (_) / A9 = 5 ==>  0 pairs (_)
* DURATION: 0:01:12.734557  START: 03:15:53.468251  END: 03:17:06.202808 2020-11-29
* REASONING C7,B9: 1..
* DIS # C7: 1 # G9: 2,3 => CTR => G9: 1,7,8,9
* CNT   1 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
E4,E7: 7.. / E4 = 7 ==>  0 pairs (X) / E7 = 7  =>  2 pairs (_)
* DURATION: 0:00:40.300642  START: 03:17:06.347330  END: 03:17:46.647972 2020-11-29
* REASONING E4,E7: 7..
* DIS # E4: 7 # C5: 1,8 # B1: 2,3 => CTR => B1: 4
* DIS # E4: 7 # C5: 1,8 + B1: 4 => CTR => C5: 2,3
* DIS # E4: 7 + C5: 2,3 # C7: 2,3 => CTR => C7: 1,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 # A2: 4,6 => CTR => A2: 3,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 # A3: 4,6 => CTR => A3: 2,7,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 # A5: 2,3 => CTR => A5: 4
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 2,9 => CTR => G4: 1,8
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 # I7: 1,9 => CTR => I7: 4,7
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 + I7: 4,7 => CTR => G5: 2
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # C6: 6,7 => CTR => C6: 1,8
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 + C6: 1,8 => CTR => E4: 1,4,8,9
* STA E4: 1,4,8,9
* CNT  11 HDP CHAINS /  37 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

1522;565;elev;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,E7: 7..:

* INC # E4: 7 # C5: 1,8 => UNS
* INC # E4: 7 # G5: 1,8 => UNS
* INC # E4: 7 # I5: 1,8 => UNS
* INC # E4: 7 => UNS
* INC # E7: 7 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for E7,F9: 7..:

* INC # E7: 7 => UNS
* INC # F9: 7 # C5: 1,8 => UNS
* INC # F9: 7 # G5: 1,8 => UNS
* INC # F9: 7 # I5: 1,8 => UNS
* INC # F9: 7 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

Full list of HDP chains traversed for D1,E1: 5..:

* INC # D1: 5 # D3: 4,8 => UNS
* INC # D1: 5 # D3: 2,9 => UNS
* INC # D1: 5 # B4: 4,8 => UNS
* INC # D1: 5 # B4: 1,2 => UNS
* INC # D1: 5 # E2: 4,9 => UNS
* INC # D1: 5 # F2: 4,9 => UNS
* INC # D1: 5 # D3: 4,9 => UNS
* INC # D1: 5 # F3: 4,9 => UNS
* INC # D1: 5 # I1: 4,9 => UNS
* INC # D1: 5 # I1: 7 => UNS
* INC # D1: 5 # E4: 4,9 => UNS
* INC # D1: 5 # E7: 4,9 => UNS
* INC # D1: 5 # E8: 4,9 => UNS
* INC # D1: 5 => UNS
* INC # E1: 5 # D7: 4,9 => UNS
* INC # E1: 5 # E7: 4,9 => UNS
* INC # E1: 5 # F8: 4,9 => UNS
* INC # E1: 5 # I8: 4,9 => UNS
* INC # E1: 5 # I8: 5 => UNS
* INC # E1: 5 # E2: 4,9 => UNS
* INC # E1: 5 # E4: 4,9 => UNS
* INC # E1: 5 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for C2,E2: 8..:

* INC # C2: 8 # B1: 2,4 => UNS
* INC # C2: 8 # A3: 2,4 => UNS
* INC # C2: 8 # F3: 2,4 => UNS
* INC # C2: 8 # F3: 1,9 => UNS
* INC # C2: 8 # B4: 2,4 => UNS
* INC # C2: 8 # B4: 1,8 => UNS
* INC # C2: 8 # E4: 4,9 => UNS
* INC # C2: 8 # F4: 4,9 => UNS
* INC # C2: 8 # D1: 4,9 => UNS
* INC # C2: 8 # D7: 4,9 => UNS
* INC # C2: 8 => UNS
* INC # E2: 8 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for E2,D3: 8..:

* INC # D3: 8 # B1: 2,4 => UNS
* INC # D3: 8 # A3: 2,4 => UNS
* INC # D3: 8 # F3: 2,4 => UNS
* INC # D3: 8 # F3: 1,9 => UNS
* INC # D3: 8 # B4: 2,4 => UNS
* INC # D3: 8 # B4: 1,8 => UNS
* INC # D3: 8 # E4: 4,9 => UNS
* INC # D3: 8 # F4: 4,9 => UNS
* INC # D3: 8 # D1: 4,9 => UNS
* INC # D3: 8 # D7: 4,9 => UNS
* INC # D3: 8 => UNS
* INC # E2: 8 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for G9,I9: 8..:

* INC # G9: 8 # G4: 1,2 => UNS
* INC # G9: 8 # H4: 1,2 => UNS
* INC # G9: 8 # C5: 1,2 => UNS
* INC # G9: 8 # C5: 3,8 => UNS
* INC # G9: 8 # G7: 1,2 => UNS
* INC # G9: 8 # G7: 3,7,9 => UNS
* INC # G9: 8 => UNS
* INC # I9: 8 # H6: 1,5 => UNS
* INC # I9: 8 # I6: 1,5 => UNS
* INC # I9: 8 # E5: 1,5 => UNS
* INC # I9: 8 # F5: 1,5 => UNS
* INC # I9: 8 # I7: 1,5 => UNS
* INC # I9: 8 # I7: 4,7,9 => UNS
* INC # I9: 8 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for C7,B9: 1..:

* INC # C7: 1 # A7: 2,3 => UNS
* INC # C7: 1 # C8: 2,3 => UNS
* INC # C7: 1 # A9: 2,3 => UNS
* INC # C7: 1 # D9: 2,3 => UNS
* INC # C7: 1 # F9: 2,3 => UNS
* DIS # C7: 1 # G9: 2,3 => CTR => G9: 1,7,8,9
* INC # C7: 1 + G9: 1,7,8,9 # H9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # B1: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # B1: 4 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # A7: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # C8: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # A9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # D9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # F9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # H9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # B1: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # B1: 4 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # A7: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # C8: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # A9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # D9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # F9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # H9: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # B1: 2,3 => UNS
* INC # C7: 1 + G9: 1,7,8,9 # B1: 4 => UNS
* INC # C7: 1 + G9: 1,7,8,9 => UNS
* INC # B9: 1 # C5: 3,8 => UNS
* INC # B9: 1 # C6: 3,8 => UNS
* INC # B9: 1 # D6: 3,8 => UNS
* INC # B9: 1 # D6: 5,9 => UNS
* INC # B9: 1 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for I3,I6: 6..:

* INC # I6: 6 # C6: 3,7 => UNS
* INC # I6: 6 # C6: 1,8 => UNS
* INC # I6: 6 => UNS
* INC # I3: 6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for G2,G4: 6..:

* INC # G2: 6 # C6: 3,7 => UNS
* INC # G2: 6 # C6: 1,8 => UNS
* INC # G2: 6 => UNS
* INC # G4: 6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for A4,G4: 6..:

* INC # A4: 6 # C6: 3,7 => UNS
* INC # A4: 6 # C6: 1,8 => UNS
* INC # A4: 6 => UNS
* INC # G4: 6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for G4,I6: 6..:

* INC # I6: 6 # C6: 3,7 => UNS
* INC # I6: 6 # C6: 1,8 => UNS
* INC # I6: 6 => UNS
* INC # G4: 6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for G2,I3: 6..:

* INC # G2: 6 # C6: 3,7 => UNS
* INC # G2: 6 # C6: 1,8 => UNS
* INC # G2: 6 => UNS
* INC # I3: 6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for A7,A9: 5..:

* INC # A7: 5 => UNS
* INC # A9: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,E7: 7..:

* INC # E4: 7 # C5: 1,8 => UNS
* INC # E4: 7 # G5: 1,8 => UNS
* INC # E4: 7 # I5: 1,8 => UNS
* DIS # E4: 7 # C5: 1,8 # B1: 2,3 => CTR => B1: 4
* DIS # E4: 7 # C5: 1,8 + B1: 4 => CTR => C5: 2,3
* INC # E4: 7 + C5: 2,3 # A5: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 # A5: 4 => UNS
* INC # E4: 7 + C5: 2,3 # C1: 2,3 => UNS
* DIS # E4: 7 + C5: 2,3 # C7: 2,3 => CTR => C7: 1,9
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # C8: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 4 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # C1: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # C8: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # I5: 1,8 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 4 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # C1: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # C8: 2,3 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # I5: 1,8 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # G7: 1,9 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # H7: 1,9 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # I7: 1,9 => UNS
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 # A2: 4,6 => CTR => A2: 3,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 # A3: 4,6 => CTR => A3: 2,7,9
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 # A5: 2,3 => CTR => A5: 4
* INC # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 1,8 => UNS
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 2,9 => CTR => G4: 1,8
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 # I7: 1,9 => CTR => I7: 4,7
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 + I7: 4,7 => CTR => G5: 2
* INC # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # A3: 2,6 => UNS
* INC # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # A3: 7,9 => UNS
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # C6: 6,7 => CTR => C6: 1,8
* DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 + C6: 1,8 => CTR => E4: 1,4,8,9
* INC E4: 1,4,8,9 # E7: 7 => UNS
* STA E4: 1,4,8,9
* CNT  37 HDP CHAINS /  37 HYP OPENED