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

Contents

Original Sudoku

level: deep

Original Sudoku

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
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.245360

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: 0:00:00.000013

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