Analysis of xx-ph-02318925-2019_03_16-base.sdk

Contents

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

Original Sudoku

level: deep

position: 98.7..6....5.96.......8..4.73..6.9.....3.7..8.........69...83....2.............91 initial

Autosolve

position: 98.7..6....5.96.......8..4973..6.9....93.7..8.........69...83....2.........6...91 autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for B5,H5: 6..:

* DIS # B5: 6 # E9: 4,5 => CTR => E9: 2,3,7
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for I6,I8: 6..:

* DIS # I6: 6 => CTR => I6: 2,3,4,5,7
* STA I6: 2,3,4,5,7
* CNT   1 HDP CHAINS /   2 HYP OPENED

List of important HDP chains detected for H8,I8: 6..:

* DIS # H8: 6 => CTR => H8: 5,7,8
* STA H8: 5,7,8
* CNT   1 HDP CHAINS /   2 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....5.96.......8..4.73..6.9.....3.7..8.........69...83....2.............91`	initial
`98.7..6....5.96.......8..4973..6.9....93.7..8.........69...83....2.........6...91`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H6,I6: 3.. / H6 = 3  =>  0 pairs (_) / I6 = 3  =>  2 pairs (_)
B3,C3: 6.. / B3 = 6  =>  0 pairs (_) / C3 = 6  =>  1 pairs (_)
H8,I8: 6.. / H8 = 6  =>  0 pairs (X) / I8 = 6  =>  0 pairs (_)
B5,H5: 6.. / B5 = 6  =>  3 pairs (_) / H5 = 6  =>  0 pairs (_)
C3,C6: 6.. / C3 = 6  =>  1 pairs (_) / C6 = 6  =>  0 pairs (_)
I6,I8: 6.. / I6 = 6  =>  0 pairs (X) / I8 = 6  =>  0 pairs (_)
G2,H2: 8.. / G2 = 8  =>  0 pairs (_) / H2 = 8  =>  0 pairs (_)
D4,D6: 8.. / D4 = 8  =>  1 pairs (_) / D6 = 8  =>  0 pairs (_)
C4,D4: 8.. / C4 = 8  =>  0 pairs (_) / D4 = 8  =>  1 pairs (_)
H2,H8: 8.. / H2 = 8  =>  0 pairs (_) / H8 = 8  =>  0 pairs (_)
D6,F6: 9.. / D6 = 9  =>  1 pairs (_) / F6 = 9  =>  0 pairs (_)
D8,F8: 9.. / D8 = 9  =>  0 pairs (_) / F8 = 9  =>  1 pairs (_)
D6,D8: 9.. / D6 = 9  =>  1 pairs (_) / D8 = 9  =>  0 pairs (_)
F6,F8: 9.. / F6 = 9  =>  0 pairs (_) / F8 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.316777  START: 13:59:08.777542  END: 13:59:18.094319 2020-09-23
* CP COUNT: (14)
* CLUE FOUND

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B5,H5: 6.. / B5 = 6 ==>  3 pairs (_) / H5 = 6 ==>  0 pairs (_)
H6,I6: 3.. / H6 = 3 ==>  0 pairs (_) / I6 = 3 ==>  2 pairs (_)
F6,F8: 9.. / F6 = 9 ==>  0 pairs (_) / F8 = 9 ==>  1 pairs (_)
D6,D8: 9.. / D6 = 9 ==>  1 pairs (_) / D8 = 9 ==>  0 pairs (_)
D8,F8: 9.. / D8 = 9 ==>  0 pairs (_) / F8 = 9 ==>  1 pairs (_)
D6,F6: 9.. / D6 = 9 ==>  1 pairs (_) / F6 = 9 ==>  0 pairs (_)
C4,D4: 8.. / C4 = 8 ==>  0 pairs (_) / D4 = 8 ==>  1 pairs (_)
D4,D6: 8.. / D4 = 8 ==>  1 pairs (_) / D6 = 8 ==>  0 pairs (_)
C3,C6: 6.. / C3 = 6 ==>  1 pairs (_) / C6 = 6 ==>  0 pairs (_)
B3,C3: 6.. / B3 = 6 ==>  0 pairs (_) / C3 = 6 ==>  1 pairs (_)
H2,H8: 8.. / H2 = 8 ==>  0 pairs (_) / H8 = 8 ==>  0 pairs (_)
G2,H2: 8.. / G2 = 8 ==>  0 pairs (_) / H2 = 8 ==>  0 pairs (_)
I6,I8: 6.. / I6 = 6  =>  0 pairs (X) / I8 = 6  =>  0 pairs (_)
H8,I8: 6.. / H8 = 6  =>  0 pairs (X) / I8 = 6  =>  0 pairs (_)
* DURATION: 0:01:10.569716  START: 13:59:18.094991  END: 14:00:28.664707 2020-09-23
* REASONING B5,H5: 6..
* DIS # B5: 6 # E9: 4,5 => CTR => E9: 2,3,7
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING I6,I8: 6..
* DIS # I6: 6 => CTR => I6: 2,3,4,5,7
* STA I6: 2,3,4,5,7
* CNT   1 HDP CHAINS /   2 HYP OPENED
* REASONING H8,I8: 6..
* DIS # H8: 6 => CTR => H8: 5,7,8
* STA H8: 5,7,8
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (14)
* CLUE FOUND

Header Info

2318925;2019_03_16;PAQ;23;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B5,H5: 6..:

* INC # B5: 6 # A8: 4,5 => UNS
* INC # B5: 6 # B8: 4,5 => UNS
* INC # B5: 6 # A9: 4,5 => UNS
* DIS # B5: 6 # E9: 4,5 => CTR => E9: 2,3,7
* INC # B5: 6 + E9: 2,3,7 # F9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # G9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B6: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B6: 1,2 => UNS
* INC # B5: 6 + E9: 2,3,7 # A8: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B8: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # A9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # F9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # G9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B6: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B6: 1,2 => UNS
* INC # B5: 6 + E9: 2,3,7 # A8: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B8: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # A9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # F9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # G9: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B6: 4,5 => UNS
* INC # B5: 6 + E9: 2,3,7 # B6: 1,2 => UNS
* INC # B5: 6 + E9: 2,3,7 => UNS
* INC # H5: 6 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for H6,I6: 3..:

* INC # I6: 3 # H1: 2,5 => UNS
* INC # I6: 3 # G3: 2,5 => UNS
* INC # I6: 3 # E1: 2,5 => UNS
* INC # I6: 3 # F1: 2,5 => UNS
* INC # I6: 3 # I4: 2,5 => UNS
* INC # I6: 3 # I7: 2,5 => UNS
* INC # I6: 3 # G2: 2,7 => UNS
* INC # I6: 3 # H2: 2,7 => UNS
* INC # I6: 3 # G3: 2,7 => UNS
* INC # I6: 3 # B2: 2,7 => UNS
* INC # I6: 3 # B2: 1,4 => UNS
* INC # I6: 3 # I7: 2,7 => UNS
* INC # I6: 3 # I7: 4,5 => UNS
* INC # I6: 3 => UNS
* INC # H6: 3 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F6,F8: 9..:

* INC # F8: 9 # A5: 1,4 => UNS
* INC # F8: 9 # B5: 1,4 => UNS
* INC # F8: 9 # A6: 1,4 => UNS
* INC # F8: 9 # B6: 1,4 => UNS
* INC # F8: 9 # C6: 1,4 => UNS
* INC # F8: 9 # F4: 1,4 => UNS
* INC # F8: 9 # F4: 2,5 => UNS
* INC # F8: 9 # C1: 1,4 => UNS
* INC # F8: 9 # C7: 1,4 => UNS
* INC # F8: 9 => UNS
* INC # F6: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D6,D8: 9..:

* INC # D6: 9 # A5: 1,4 => UNS
* INC # D6: 9 # B5: 1,4 => UNS
* INC # D6: 9 # A6: 1,4 => UNS
* INC # D6: 9 # B6: 1,4 => UNS
* INC # D6: 9 # C6: 1,4 => UNS
* INC # D6: 9 # F4: 1,4 => UNS
* INC # D6: 9 # F4: 2,5 => UNS
* INC # D6: 9 # C1: 1,4 => UNS
* INC # D6: 9 # C7: 1,4 => UNS
* INC # D6: 9 => UNS
* INC # D8: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D8,F8: 9..:

* INC # F8: 9 # A5: 1,4 => UNS
* INC # F8: 9 # B5: 1,4 => UNS
* INC # F8: 9 # A6: 1,4 => UNS
* INC # F8: 9 # B6: 1,4 => UNS
* INC # F8: 9 # C6: 1,4 => UNS
* INC # F8: 9 # F4: 1,4 => UNS
* INC # F8: 9 # F4: 2,5 => UNS
* INC # F8: 9 # C1: 1,4 => UNS
* INC # F8: 9 # C7: 1,4 => UNS
* INC # F8: 9 => UNS
* INC # D8: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D6,F6: 9..:

* INC # D6: 9 # A5: 1,4 => UNS
* INC # D6: 9 # B5: 1,4 => UNS
* INC # D6: 9 # A6: 1,4 => UNS
* INC # D6: 9 # B6: 1,4 => UNS
* INC # D6: 9 # C6: 1,4 => UNS
* INC # D6: 9 # F4: 1,4 => UNS
* INC # D6: 9 # F4: 2,5 => UNS
* INC # D6: 9 # C1: 1,4 => UNS
* INC # D6: 9 # C7: 1,4 => UNS
* INC # D6: 9 => UNS
* INC # F6: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for C4,D4: 8..:

* INC # D4: 8 # A5: 1,4 => UNS
* INC # D4: 8 # B5: 1,4 => UNS
* INC # D4: 8 # A6: 1,4 => UNS
* INC # D4: 8 # B6: 1,4 => UNS
* INC # D4: 8 # C6: 1,4 => UNS
* INC # D4: 8 # F4: 1,4 => UNS
* INC # D4: 8 # F4: 2,5 => UNS
* INC # D4: 8 # C1: 1,4 => UNS
* INC # D4: 8 # C7: 1,4 => UNS
* INC # D4: 8 => UNS
* INC # C4: 8 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D4,D6: 8..:

* INC # D4: 8 # A5: 1,4 => UNS
* INC # D4: 8 # B5: 1,4 => UNS
* INC # D4: 8 # A6: 1,4 => UNS
* INC # D4: 8 # B6: 1,4 => UNS
* INC # D4: 8 # C6: 1,4 => UNS
* INC # D4: 8 # F4: 1,4 => UNS
* INC # D4: 8 # F4: 2,5 => UNS
* INC # D4: 8 # C1: 1,4 => UNS
* INC # D4: 8 # C7: 1,4 => UNS
* INC # D4: 8 => UNS
* INC # D6: 8 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for C3,C6: 6..:

* INC # C3: 6 # A8: 4,5 => UNS
* INC # C3: 6 # B8: 4,5 => UNS
* INC # C3: 6 # A9: 4,5 => UNS
* INC # C3: 6 # E9: 4,5 => UNS
* INC # C3: 6 # F9: 4,5 => UNS
* INC # C3: 6 # G9: 4,5 => UNS
* INC # C3: 6 # B5: 4,5 => UNS
* INC # C3: 6 # B6: 4,5 => UNS
* INC # C3: 6 => UNS
* INC # C6: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for B3,C3: 6..:

* INC # C3: 6 # A8: 4,5 => UNS
* INC # C3: 6 # B8: 4,5 => UNS
* INC # C3: 6 # A9: 4,5 => UNS
* INC # C3: 6 # E9: 4,5 => UNS
* INC # C3: 6 # F9: 4,5 => UNS
* INC # C3: 6 # G9: 4,5 => UNS
* INC # C3: 6 # B5: 4,5 => UNS
* INC # C3: 6 # B6: 4,5 => UNS
* INC # C3: 6 => UNS
* INC # B3: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for H2,H8: 8..:

* INC # H2: 8 => UNS
* INC # H8: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G2,H2: 8..:

* INC # G2: 8 => UNS
* INC # H2: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I6,I8: 6..:

* DIS # I6: 6 => CTR => I6: 2,3,4,5,7
* INC I6: 2,3,4,5,7 # I8: 6 => UNS
* STA I6: 2,3,4,5,7
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H8,I8: 6..:

* DIS # H8: 6 => CTR => H8: 5,7,8
* INC H8: 5,7,8 # I8: 6 => UNS
* STA H8: 5,7,8
* CNT   2 HDP CHAINS /   2 HYP OPENED