Analysis of xx-ph-00023862-KZ1C-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis

Original Sudoku

level: deep

position: 98.76....75....9....6......8...4..3..2......1..95..8....86..5......3...4.....1.2. initial

Autosolve

position: 98.76....75....9....6......8...4..3..2......1..95..8....86..5......3...4.....1.2. autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.245360

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for G4,I6: 2..:

* DIS # I6: 2 # G5: 6,7 => CTR => G5: 4
* DIS # I6: 2 + G5: 4 # B6: 6,7 => CTR => B6: 1,3,4
* CNT   2 HDP CHAINS /  53 HYP OPENED

List of important HDP chains detected for D4,E6: 1..:

* DIS # D4: 1 # B6: 6,7 => CTR => B6: 1,3,4
* CNT   1 HDP CHAINS /  42 HYP OPENED

List of important HDP chains detected for G5,H6: 4..:

* DIS # H6: 4 # G4: 6,7 => CTR => G4: 2
* PRF # H6: 4 + G4: 2 # G8: 6,7 => SOL
* STA # H6: 4 + G4: 2 + G8: 6,7
* CNT   2 HDP CHAINS /   7 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

`98.76....75....9....6......8...4..3..2......1..95..8....86..5......3...4.....1.2.`	initial
`98.76....75....9....6......8...4..3..2......1..95..8....86..5......3...4.....1.2.`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
I4: 5,9
H5: 5,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E6: 1.. / D4 = 1  =>  5 pairs (_) / E6 = 1  =>  4 pairs (_)
G4,I6: 2.. / G4 = 2  =>  4 pairs (_) / I6 = 2  =>  5 pairs (_)
G5,H6: 4.. / G5 = 4  =>  3 pairs (_) / H6 = 4  =>  4 pairs (_)
F7,D9: 4.. / F7 = 4  =>  3 pairs (_) / D9 = 4  =>  2 pairs (_)
I4,H5: 5.. / I4 = 5  =>  5 pairs (_) / H5 = 5  =>  3 pairs (_)
F8,E9: 5.. / F8 = 5  =>  2 pairs (_) / E9 = 5  =>  2 pairs (_)
C4,I4: 5.. / C4 = 5  =>  3 pairs (_) / I4 = 5  =>  5 pairs (_)
E3,E9: 5.. / E3 = 5  =>  2 pairs (_) / E9 = 5  =>  2 pairs (_)
H2,I2: 6.. / H2 = 6  =>  3 pairs (_) / I2 = 6  =>  3 pairs (_)
H8,I9: 8.. / H8 = 8  =>  3 pairs (_) / I9 = 8  =>  3 pairs (_)
I4,H5: 9.. / I4 = 9  =>  3 pairs (_) / H5 = 9  =>  5 pairs (_)
* DURATION: 0:00:10.791160  START: 19:44:28.284336  END: 19:44:39.075496 2017-04-29
* CP COUNT: (11)

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,I6: 2.. / G4 = 2 ==>  4 pairs (_) / I6 = 2 ==>  6 pairs (_)
D4,E6: 1.. / D4 = 1 ==>  5 pairs (_) / E6 = 1 ==>  4 pairs (_)
I4,H5: 9.. / I4 = 9 ==>  3 pairs (_) / H5 = 9 ==>  5 pairs (_)
C4,I4: 5.. / C4 = 5 ==>  3 pairs (_) / I4 = 5 ==>  5 pairs (_)
I4,H5: 5.. / I4 = 5 ==>  5 pairs (_) / H5 = 5 ==>  3 pairs (_)
G5,H6: 4.. / G5 = 4  =>  0 pairs (X) / H6 = 4 ==>  0 pairs (*)
* DURATION: 0:02:30.194191  START: 19:44:39.338093  END: 19:47:09.532284 2017-04-29
* REASONING G4,I6: 2..
* DIS # I6: 2 # G5: 6,7 => CTR => G5: 4
* DIS # I6: 2 + G5: 4 # B6: 6,7 => CTR => B6: 1,3,4
* CNT   2 HDP CHAINS /  53 HYP OPENED
* REASONING D4,E6: 1..
* DIS # D4: 1 # B6: 6,7 => CTR => B6: 1,3,4
* CNT   1 HDP CHAINS /  42 HYP OPENED
* REASONING G5,H6: 4..
* DIS # H6: 4 # G4: 6,7 => CTR => G4: 2
* PRF # H6: 4 + G4: 2 # G8: 6,7 => SOL
* STA # H6: 4 + G4: 2 + G8: 6,7
* CNT   2 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

23862;KZ1C;GP;23;11.80;11.80;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,I6: 2..:

* INC # I6: 2 # I3: 3,5 => UNS
* INC # I6: 2 # I3: 7,8 => UNS
* INC # I6: 2 # F1: 3,5 => UNS
* INC # I6: 2 # F1: 2,4 => UNS
* INC # I6: 2 # B6: 1,7 => UNS
* INC # I6: 2 # B6: 3,4,6 => UNS
* DIS # I6: 2 # G5: 6,7 => CTR => G5: 4
* INC # I6: 2 + G5: 4 # B4: 6,7 => UNS
* INC # I6: 2 + G5: 4 # F4: 6,7 => UNS
* INC # I6: 2 + G5: 4 # G8: 6,7 => UNS
* INC # I6: 2 + G5: 4 # G9: 6,7 => UNS
* INC # I6: 2 + G5: 4 # I3: 3,5 => UNS
* INC # I6: 2 + G5: 4 # I3: 7,8 => UNS
* INC # I6: 2 + G5: 4 # F1: 3,5 => UNS
* INC # I6: 2 + G5: 4 # F1: 2,4 => UNS
* INC # I6: 2 + G5: 4 # B6: 1,7 => UNS
* INC # I6: 2 + G5: 4 # B6: 3,4,6 => UNS
* INC # I6: 2 + G5: 4 # B4: 6,7 => UNS
* INC # I6: 2 + G5: 4 # F4: 6,7 => UNS
* INC # I6: 2 + G5: 4 # G8: 6,7 => UNS
* INC # I6: 2 + G5: 4 # G9: 6,7 => UNS
* DIS # I6: 2 + G5: 4 # B6: 6,7 => CTR => B6: 1,3,4
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 3 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # H8: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # H8: 1,8,9 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 3 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # H8: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # H8: 1,8,9 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # I3: 3,5 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # I3: 7,8 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F1: 3,5 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F1: 2,4 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # B4: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F4: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # G8: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # G9: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # F6: 3 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # H8: 6,7 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 # H8: 1,8,9 => UNS
* INC # I6: 2 + G5: 4 + B6: 1,3,4 => UNS
* INC # G4: 2 # D3: 1,9 => UNS
* INC # G4: 2 # D3: 2,3,4,8 => UNS
* INC # G4: 2 # G5: 6,7 => UNS
* INC # G4: 2 # H6: 6,7 => UNS
* INC # G4: 2 # B6: 6,7 => UNS
* INC # G4: 2 # F6: 6,7 => UNS
* INC # G4: 2 # I9: 6,7 => UNS
* INC # G4: 2 # I9: 3,8,9 => UNS
* INC # G4: 2 => UNS
* CNT  53 HDP CHAINS /  53 HYP OPENED

Full list of HDP chains traversed for D4,E6: 1..:

* DIS # D4: 1 # B6: 6,7 => CTR => B6: 1,3,4
* INC # D4: 1 + B6: 1,3,4 # F4: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # G4: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # B8: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # B9: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # C5: 5,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # C5: 3,4 => UNS
* INC # D4: 1 + B6: 1,3,4 # C8: 5,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # C9: 5,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # F4: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # F6: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # I6: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # I6: 6 => UNS
* INC # D4: 1 + B6: 1,3,4 # E7: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # E7: 9 => UNS
* INC # D4: 1 + B6: 1,3,4 # F4: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # G4: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # B8: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # B9: 6,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # C5: 5,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # C5: 3,4 => UNS
* INC # D4: 1 + B6: 1,3,4 # C8: 5,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # C9: 5,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # F4: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # F6: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # I6: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # I6: 6 => UNS
* INC # D4: 1 + B6: 1,3,4 # E7: 2,7 => UNS
* INC # D4: 1 + B6: 1,3,4 # E7: 9 => UNS
* INC # D4: 1 + B6: 1,3,4 => UNS
* INC # E6: 1 # D2: 2,8 => UNS
* INC # E6: 1 # F2: 2,8 => UNS
* INC # E6: 1 # D3: 2,8 => UNS
* INC # E6: 1 # E3: 2,8 => UNS
* INC # E6: 1 # F3: 2,8 => UNS
* INC # E6: 1 # I2: 2,8 => UNS
* INC # E6: 1 # I2: 3,6 => UNS
* INC # E6: 1 # F4: 2,9 => UNS
* INC # E6: 1 # F4: 6,7 => UNS
* INC # E6: 1 # D3: 2,9 => UNS
* INC # E6: 1 # D8: 2,9 => UNS
* INC # E6: 1 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for I4,H5: 9..:

* INC # H5: 9 # G1: 2,3 => UNS
* INC # H5: 9 # I2: 2,3 => UNS
* INC # H5: 9 # G3: 2,3 => UNS
* INC # H5: 9 # I3: 2,3 => UNS
* INC # H5: 9 # C1: 2,3 => UNS
* INC # H5: 9 # F1: 2,3 => UNS
* INC # H5: 9 # B4: 1,7 => UNS
* INC # H5: 9 # B6: 1,7 => UNS
* INC # H5: 9 # C8: 1,7 => UNS
* INC # H5: 9 # C8: 2,5 => UNS
* INC # H5: 9 # F5: 3,8 => UNS
* INC # H5: 9 # F5: 6,7 => UNS
* INC # H5: 9 # D2: 3,8 => UNS
* INC # H5: 9 # D3: 3,8 => UNS
* INC # H5: 9 # F5: 7,8 => UNS
* INC # H5: 9 # F5: 3,6 => UNS
* INC # H5: 9 # E9: 7,8 => UNS
* INC # H5: 9 # E9: 5,9 => UNS
* INC # H5: 9 # G8: 1,7 => UNS
* INC # H5: 9 # H8: 1,7 => UNS
* INC # H5: 9 # B7: 1,7 => UNS
* INC # H5: 9 # B7: 3,4,9 => UNS
* INC # H5: 9 # H3: 1,7 => UNS
* INC # H5: 9 # H3: 4,5,8 => UNS
* INC # H5: 9 => UNS
* INC # I4: 9 # G1: 1,4 => UNS
* INC # I4: 9 # H2: 1,4 => UNS
* INC # I4: 9 # G3: 1,4 => UNS
* INC # I4: 9 # H3: 1,4 => UNS
* INC # I4: 9 # C1: 1,4 => UNS
* INC # I4: 9 # C1: 2,3 => UNS
* INC # I4: 9 # E6: 1,2 => UNS
* INC # I4: 9 # E6: 7 => UNS
* INC # I4: 9 # D2: 1,2 => UNS
* INC # I4: 9 # D3: 1,2 => UNS
* INC # I4: 9 # G9: 3,7 => UNS
* INC # I4: 9 # I9: 3,7 => UNS
* INC # I4: 9 # B7: 3,7 => UNS
* INC # I4: 9 # B7: 1,4,9 => UNS
* INC # I4: 9 # I3: 3,7 => UNS
* INC # I4: 9 # I3: 2,5,8 => UNS
* INC # I4: 9 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for C4,I4: 5..:

* INC # I4: 5 # G1: 2,3 => UNS
* INC # I4: 5 # I2: 2,3 => UNS
* INC # I4: 5 # G3: 2,3 => UNS
* INC # I4: 5 # I3: 2,3 => UNS
* INC # I4: 5 # C1: 2,3 => UNS
* INC # I4: 5 # F1: 2,3 => UNS
* INC # I4: 5 # B4: 1,7 => UNS
* INC # I4: 5 # B6: 1,7 => UNS
* INC # I4: 5 # C8: 1,7 => UNS
* INC # I4: 5 # C8: 2,5 => UNS
* INC # I4: 5 # F5: 3,8 => UNS
* INC # I4: 5 # F5: 6,7 => UNS
* INC # I4: 5 # D2: 3,8 => UNS
* INC # I4: 5 # D3: 3,8 => UNS
* INC # I4: 5 # F5: 7,8 => UNS
* INC # I4: 5 # F5: 3,6 => UNS
* INC # I4: 5 # E9: 7,8 => UNS
* INC # I4: 5 # E9: 5,9 => UNS
* INC # I4: 5 # G8: 1,7 => UNS
* INC # I4: 5 # H8: 1,7 => UNS
* INC # I4: 5 # B7: 1,7 => UNS
* INC # I4: 5 # B7: 3,4,9 => UNS
* INC # I4: 5 # H3: 1,7 => UNS
* INC # I4: 5 # H3: 4,5,8 => UNS
* INC # I4: 5 => UNS
* INC # C4: 5 # G1: 1,4 => UNS
* INC # C4: 5 # H2: 1,4 => UNS
* INC # C4: 5 # G3: 1,4 => UNS
* INC # C4: 5 # H3: 1,4 => UNS
* INC # C4: 5 # C1: 1,4 => UNS
* INC # C4: 5 # C1: 2,3 => UNS
* INC # C4: 5 # E6: 1,2 => UNS
* INC # C4: 5 # E6: 7 => UNS
* INC # C4: 5 # D2: 1,2 => UNS
* INC # C4: 5 # D3: 1,2 => UNS
* INC # C4: 5 # G9: 3,7 => UNS
* INC # C4: 5 # I9: 3,7 => UNS
* INC # C4: 5 # B7: 3,7 => UNS
* INC # C4: 5 # B7: 1,4,9 => UNS
* INC # C4: 5 # I3: 3,7 => UNS
* INC # C4: 5 # I3: 2,5,8 => UNS
* INC # C4: 5 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for I4,H5: 5..:

* INC # I4: 5 # G1: 2,3 => UNS
* INC # I4: 5 # I2: 2,3 => UNS
* INC # I4: 5 # G3: 2,3 => UNS
* INC # I4: 5 # I3: 2,3 => UNS
* INC # I4: 5 # C1: 2,3 => UNS
* INC # I4: 5 # F1: 2,3 => UNS
* INC # I4: 5 # B4: 1,7 => UNS
* INC # I4: 5 # B6: 1,7 => UNS
* INC # I4: 5 # C8: 1,7 => UNS
* INC # I4: 5 # C8: 2,5 => UNS
* INC # I4: 5 # F5: 3,8 => UNS
* INC # I4: 5 # F5: 6,7 => UNS
* INC # I4: 5 # D2: 3,8 => UNS
* INC # I4: 5 # D3: 3,8 => UNS
* INC # I4: 5 # F5: 7,8 => UNS
* INC # I4: 5 # F5: 3,6 => UNS
* INC # I4: 5 # E9: 7,8 => UNS
* INC # I4: 5 # E9: 5,9 => UNS
* INC # I4: 5 # G8: 1,7 => UNS
* INC # I4: 5 # H8: 1,7 => UNS
* INC # I4: 5 # B7: 1,7 => UNS
* INC # I4: 5 # B7: 3,4,9 => UNS
* INC # I4: 5 # H3: 1,7 => UNS
* INC # I4: 5 # H3: 4,5,8 => UNS
* INC # I4: 5 => UNS
* INC # H5: 5 # G1: 1,4 => UNS
* INC # H5: 5 # H2: 1,4 => UNS
* INC # H5: 5 # G3: 1,4 => UNS
* INC # H5: 5 # H3: 1,4 => UNS
* INC # H5: 5 # C1: 1,4 => UNS
* INC # H5: 5 # C1: 2,3 => UNS
* INC # H5: 5 # E6: 1,2 => UNS
* INC # H5: 5 # E6: 7 => UNS
* INC # H5: 5 # D2: 1,2 => UNS
* INC # H5: 5 # D3: 1,2 => UNS
* INC # H5: 5 # G9: 3,7 => UNS
* INC # H5: 5 # I9: 3,7 => UNS
* INC # H5: 5 # B7: 3,7 => UNS
* INC # H5: 5 # B7: 1,4,9 => UNS
* INC # H5: 5 # I3: 3,7 => UNS
* INC # H5: 5 # I3: 2,5,8 => UNS
* INC # H5: 5 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for G5,H6: 4..:

* INC # H6: 4 # H3: 1,5 => UNS
* INC # H6: 4 # H3: 7,8 => UNS
* DIS # H6: 4 # G4: 6,7 => CTR => G4: 2
* INC # H6: 4 + G4: 2 # F5: 6,7 => UNS
* INC # H6: 4 + G4: 2 # F5: 3,8,9 => UNS
* PRF # H6: 4 + G4: 2 # G8: 6,7 => SOL
* STA # H6: 4 + G4: 2 + G8: 6,7
* CNT   6 HDP CHAINS /   7 HYP OPENED