Analysis of xx-ph-01388811-14_04-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7.54......4..8.9..3......94.9..4.6....4.....2.1.....6....6.81......1..49 initial

Autosolve

position: 98.76.4..7.54......4..8.9..3......94.9..4.6....4.....2.1...4.6.4..6.81......1..49 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

Time used: 0:00:00.000008

List of important HDP chains detected for C8,E8: 9..:

* DIS # E8: 9 # B2: 2,3 => CTR => B2: 6
* DIS # E8: 9 + B2: 6 # H2: 2,3 => CTR => H2: 1,8
* DIS # E8: 9 + B2: 6 + H2: 1,8 # G2: 8 => CTR => G2: 2,3
* DIS # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # I5: 3,5 => CTR => I5: 1,7,8
* PRF # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 + I5: 1,7,8 # I7: 3,5 => SOL
* STA # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 + I5: 1,7,8 + I7: 3,5
* CNT   5 HDP CHAINS /  20 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....7.54......4..8.9..3......94.9..4.6....4.....2.1.....6....6.81......1..49 initial
98.76.4..7.54......4..8.9..3......94.9..4.6....4.....2.1...4.6.4..6.81......1..49 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I2,I3: 6.. / I2 = 6  =>  1 pairs (_) / I3 = 6  =>  2 pairs (_)
F4,F6: 6.. / F4 = 6  =>  0 pairs (_) / F6 = 6  =>  3 pairs (_)
B2,I2: 6.. / B2 = 6  =>  2 pairs (_) / I2 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  2 pairs (_)
E2,F2: 9.. / E2 = 9  =>  0 pairs (_) / F2 = 9  =>  2 pairs (_)
C7,C8: 9.. / C7 = 9  =>  2 pairs (_) / C8 = 9  =>  0 pairs (_)
C8,E8: 9.. / C8 = 9  =>  0 pairs (_) / E8 = 9  =>  2 pairs (_)
D6,D7: 9.. / D6 = 9  =>  2 pairs (_) / D7 = 9  =>  0 pairs (_)
F2,F6: 9.. / F2 = 9  =>  2 pairs (_) / F6 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.516009  START: 13:44:17.266403  END: 13:44:23.782412 2020-11-01
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,F6: 6.. / F4 = 6 ==>  0 pairs (_) / F6 = 6 ==>  3 pairs (_)
B2,I2: 6.. / B2 = 6 ==>  2 pairs (_) / I2 = 6 ==>  1 pairs (_)
I2,I3: 6.. / I2 = 6 ==>  1 pairs (_) / I3 = 6 ==>  2 pairs (_)
F2,F6: 9.. / F2 = 9 ==>  2 pairs (_) / F6 = 9 ==>  0 pairs (_)
D6,D7: 9.. / D6 = 9 ==>  2 pairs (_) / D7 = 9 ==>  0 pairs (_)
C8,E8: 9.. / C8 = 9  =>  0 pairs (X) / E8 = 9 ==>  0 pairs (*)
* DURATION: 0:01:09.744034  START: 13:44:23.783257  END: 13:45:33.527291 2020-11-01
* REASONING C8,E8: 9..
* DIS # E8: 9 # B2: 2,3 => CTR => B2: 6
* DIS # E8: 9 + B2: 6 # H2: 2,3 => CTR => H2: 1,8
* DIS # E8: 9 + B2: 6 + H2: 1,8 # G2: 8 => CTR => G2: 2,3
* DIS # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # I5: 3,5 => CTR => I5: 1,7,8
* PRF # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 + I5: 1,7,8 # I7: 3,5 => SOL
* STA # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 + I5: 1,7,8 + I7: 3,5
* CNT   5 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

1388811;14_04;GP;26;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,F6: 6..:

* INC # F6: 6 # F1: 2,3 => UNS
* INC # F6: 6 # D3: 2,3 => UNS
* INC # F6: 6 # F3: 2,3 => UNS
* INC # F6: 6 # B2: 2,3 => UNS
* INC # F6: 6 # G2: 2,3 => UNS
* INC # F6: 6 # H2: 2,3 => UNS
* INC # F6: 6 # E7: 2,3 => UNS
* INC # F6: 6 # E8: 2,3 => UNS
* INC # F6: 6 # H1: 3,5 => UNS
* INC # F6: 6 # H3: 3,5 => UNS
* INC # F6: 6 # I3: 3,5 => UNS
* INC # F6: 6 # F1: 3,5 => UNS
* INC # F6: 6 # F1: 1,2 => UNS
* INC # F6: 6 # I5: 3,5 => UNS
* INC # F6: 6 # I7: 3,5 => UNS
* INC # F6: 6 # I8: 3,5 => UNS
* INC # F6: 6 # B4: 5,7 => UNS
* INC # F6: 6 # B4: 2,6 => UNS
* INC # F6: 6 # E6: 5,7 => UNS
* INC # F6: 6 # G6: 5,7 => UNS
* INC # F6: 6 # H6: 5,7 => UNS
* INC # F6: 6 # B8: 5,7 => UNS
* INC # F6: 6 # B9: 5,7 => UNS
* INC # F6: 6 => UNS
* INC # F4: 6 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for B2,I2: 6..:

* INC # B2: 6 # C1: 1,2 => UNS
* INC # B2: 6 # C3: 1,2 => UNS
* INC # B2: 6 # D3: 1,2 => UNS
* INC # B2: 6 # F3: 1,2 => UNS
* INC # B2: 6 # A5: 1,2 => UNS
* INC # B2: 6 # A5: 5,8 => UNS
* INC # B2: 6 # B4: 5,7 => UNS
* INC # B2: 6 # B4: 2 => UNS
* INC # B2: 6 # E6: 5,7 => UNS
* INC # B2: 6 # F6: 5,7 => UNS
* INC # B2: 6 # G6: 5,7 => UNS
* INC # B2: 6 # B8: 5,7 => UNS
* INC # B2: 6 # B9: 5,7 => UNS
* INC # B2: 6 => UNS
* INC # I2: 6 # C1: 2,3 => UNS
* INC # I2: 6 # C3: 2,3 => UNS
* INC # I2: 6 # E2: 2,3 => UNS
* INC # I2: 6 # F2: 2,3 => UNS
* INC # I2: 6 # G2: 2,3 => UNS
* INC # I2: 6 # H2: 2,3 => UNS
* INC # I2: 6 # B8: 2,3 => UNS
* INC # I2: 6 # B9: 2,3 => UNS
* INC # I2: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for I2,I3: 6..:

* INC # I3: 6 # C1: 1,2 => UNS
* INC # I3: 6 # C3: 1,2 => UNS
* INC # I3: 6 # D3: 1,2 => UNS
* INC # I3: 6 # F3: 1,2 => UNS
* INC # I3: 6 # A5: 1,2 => UNS
* INC # I3: 6 # A5: 5,8 => UNS
* INC # I3: 6 # B4: 5,7 => UNS
* INC # I3: 6 # B4: 2 => UNS
* INC # I3: 6 # E6: 5,7 => UNS
* INC # I3: 6 # F6: 5,7 => UNS
* INC # I3: 6 # G6: 5,7 => UNS
* INC # I3: 6 # B8: 5,7 => UNS
* INC # I3: 6 # B9: 5,7 => UNS
* INC # I3: 6 => UNS
* INC # I2: 6 # C1: 2,3 => UNS
* INC # I2: 6 # C3: 2,3 => UNS
* INC # I2: 6 # E2: 2,3 => UNS
* INC # I2: 6 # F2: 2,3 => UNS
* INC # I2: 6 # G2: 2,3 => UNS
* INC # I2: 6 # H2: 2,3 => UNS
* INC # I2: 6 # B8: 2,3 => UNS
* INC # I2: 6 # B9: 2,3 => UNS
* INC # I2: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for F2,F6: 9..:

* INC # F2: 9 # F1: 2,3 => UNS
* INC # F2: 9 # D3: 2,3 => UNS
* INC # F2: 9 # F3: 2,3 => UNS
* INC # F2: 9 # B2: 2,3 => UNS
* INC # F2: 9 # G2: 2,3 => UNS
* INC # F2: 9 # H2: 2,3 => UNS
* INC # F2: 9 # E7: 2,3 => UNS
* INC # F2: 9 # E8: 2,3 => UNS
* INC # F2: 9 # H1: 3,5 => UNS
* INC # F2: 9 # H3: 3,5 => UNS
* INC # F2: 9 # I3: 3,5 => UNS
* INC # F2: 9 # F1: 3,5 => UNS
* INC # F2: 9 # F1: 1,2 => UNS
* INC # F2: 9 # I5: 3,5 => UNS
* INC # F2: 9 # I7: 3,5 => UNS
* INC # F2: 9 # I8: 3,5 => UNS
* INC # F2: 9 => UNS
* INC # F6: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D6,D7: 9..:

* INC # D6: 9 # F1: 2,3 => UNS
* INC # D6: 9 # D3: 2,3 => UNS
* INC # D6: 9 # F3: 2,3 => UNS
* INC # D6: 9 # B2: 2,3 => UNS
* INC # D6: 9 # G2: 2,3 => UNS
* INC # D6: 9 # H2: 2,3 => UNS
* INC # D6: 9 # E7: 2,3 => UNS
* INC # D6: 9 # E8: 2,3 => UNS
* INC # D6: 9 # H1: 3,5 => UNS
* INC # D6: 9 # H3: 3,5 => UNS
* INC # D6: 9 # I3: 3,5 => UNS
* INC # D6: 9 # F1: 3,5 => UNS
* INC # D6: 9 # F1: 1,2 => UNS
* INC # D6: 9 # I5: 3,5 => UNS
* INC # D6: 9 # I7: 3,5 => UNS
* INC # D6: 9 # I8: 3,5 => UNS
* INC # D6: 9 => UNS
* INC # D7: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C8,E8: 9..:

* INC # E8: 9 # F1: 2,3 => UNS
* INC # E8: 9 # D3: 2,3 => UNS
* INC # E8: 9 # F3: 2,3 => UNS
* DIS # E8: 9 # B2: 2,3 => CTR => B2: 6
* INC # E8: 9 + B2: 6 # G2: 2,3 => UNS
* DIS # E8: 9 + B2: 6 # H2: 2,3 => CTR => H2: 1,8
* INC # E8: 9 + B2: 6 + H2: 1,8 # G2: 2,3 => UNS
* DIS # E8: 9 + B2: 6 + H2: 1,8 # G2: 8 => CTR => G2: 2,3
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # E7: 2,3 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # E7: 5,7 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # F1: 2,3 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # D3: 2,3 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # F3: 2,3 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # E7: 2,3 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # E7: 5,7 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # H1: 3,5 => UNS
* INC # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # H1: 2 => UNS
* DIS # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 # I5: 3,5 => CTR => I5: 1,7,8
* PRF # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 + I5: 1,7,8 # I7: 3,5 => SOL
* STA # E8: 9 + B2: 6 + H2: 1,8 + G2: 2,3 + I5: 1,7,8 + I7: 3,5
* CNT  19 HDP CHAINS /  20 HYP OPENED