Analysis of xx-ph-02316609-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

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
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

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for B5,I5: 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 H6,I6: 3..:

* DIS # I6: 3 # I5: 2,5 => CTR => I5: 4,6
* CNT   1 HDP CHAINS /  25 HYP OPENED

List of important HDP chains detected for H6,H8: 6..:

* DIS # H6: 6 => CTR => H6: 1,2,3,5,7
* STA H6: 1,2,3,5,7
* CNT   1 HDP CHAINS /   2 HYP OPENED

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

* DIS # I8: 6 => CTR => I8: 4,5,7,8
* STA I8: 4,5,7,8
* 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  =>  1 pairs (_)
B3,C3: 6.. / B3 = 6  =>  0 pairs (_) / C3 = 6  =>  1 pairs (_)
H8,I8: 6.. / H8 = 6  =>  0 pairs (_) / I8 = 6  =>  0 pairs (X)
B5,I5: 6.. / B5 = 6  =>  3 pairs (_) / I5 = 6  =>  0 pairs (_)
C3,C6: 6.. / C3 = 6  =>  1 pairs (_) / C6 = 6  =>  0 pairs (_)
H6,H8: 6.. / H6 = 6  =>  0 pairs (X) / H8 = 6  =>  0 pairs (_)
G2,I2: 8.. / G2 = 8  =>  0 pairs (_) / I2 = 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 (_)
I2,I8: 8.. / I2 = 8  =>  0 pairs (_) / I8 = 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: 0:00:08.952641  START: 14:21:55.191894  END: 14:22:04.144535 2020-11-07
* CP COUNT: (14)
* CLUE FOUND

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B5,I5: 6.. / B5 = 6 ==>  3 pairs (_) / I5 = 6 ==>  0 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 (_)
H6,I6: 3.. / H6 = 3 ==>  0 pairs (_) / I6 = 3 ==>  2 pairs (_)
I2,I8: 8.. / I2 = 8 ==>  0 pairs (_) / I8 = 8 ==>  0 pairs (_)
G2,I2: 8.. / G2 = 8 ==>  0 pairs (_) / I2 = 8 ==>  0 pairs (_)
H6,H8: 6.. / H6 = 6  =>  0 pairs (X) / H8 = 6  =>  0 pairs (_)
H8,I8: 6.. / H8 = 6 ==>  0 pairs (_) / I8 = 6  =>  0 pairs (X)
* DURATION: 0:01:10.129174  START: 14:22:04.145137  END: 14:23:14.274311 2020-11-07
* REASONING B5,I5: 6..
* DIS # B5: 6 # E9: 4,5 => CTR => E9: 2,3,7
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING H6,I6: 3..
* DIS # I6: 3 # I5: 2,5 => CTR => I5: 4,6
* CNT   1 HDP CHAINS /  25 HYP OPENED
* REASONING H6,H8: 6..
* DIS # H6: 6 => CTR => H6: 1,2,3,5,7
* STA H6: 1,2,3,5,7
* CNT   1 HDP CHAINS /   2 HYP OPENED
* REASONING H8,I8: 6..
* DIS # I8: 6 => CTR => I8: 4,5,7,8
* STA I8: 4,5,7,8
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (14)
* CLUE FOUND

Header Info

2316609;2019_03_16;PAQ;23;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B5,I5: 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 # I5: 6 => UNS
* CNT  24 HDP CHAINS /  24 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 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
* DIS # I6: 3 # I5: 2,5 => CTR => I5: 4,6
* INC # I6: 3 + I5: 4,6 # I7: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # H1: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # G3: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # E1: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # F1: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # I4: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # I7: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # H1: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # G3: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # E1: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # F1: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # I4: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # I7: 2,5 => UNS
* INC # I6: 3 + I5: 4,6 # B5: 4,6 => UNS
* INC # I6: 3 + I5: 4,6 # B5: 1,2,5 => UNS
* INC # I6: 3 + I5: 4,6 # I8: 4,6 => UNS
* INC # I6: 3 + I5: 4,6 # I8: 5,7,8 => UNS
* INC # I6: 3 + I5: 4,6 => UNS
* INC # H6: 3 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for I2,I8: 8..:

* INC # I2: 8 => UNS
* INC # I8: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G2,I2: 8..:

* INC # G2: 8 => UNS
* INC # I2: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H6,H8: 6..:

* DIS # H6: 6 => CTR => H6: 1,2,3,5,7
* INC H6: 1,2,3,5,7 # H8: 6 => UNS
* STA H6: 1,2,3,5,7
* CNT   2 HDP CHAINS /   2 HYP OPENED

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

* INC # H8: 6 => UNS
* DIS # I8: 6 => CTR => I8: 4,5,7,8
* STA I8: 4,5,7,8
* CNT   2 HDP CHAINS /   2 HYP OPENED