Analysis of xx-ph-02320257-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7.6..4....5..8.6..6......3..9..5.2.....1.......9.2......86..9.........52 initial

Autosolve

position: 98.76.5..7.65.4....5..8.6..6......3..9..5.2.....1.......9.2......86..9...6.....52 autosolve
Autosolve

Pair Reduction Variants

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 A8,F8: 5..:

* DIS # A8: 5 # E2: 1,3 => CTR => E2: 9
* DIS # A8: 5 + E2: 9 # I2: 1,3 => CTR => I2: 8
* PRF # A8: 5 + E2: 9 + I2: 8 # H7: 1,4 => SOL
* STA # A8: 5 + E2: 9 + I2: 8 + H7: 1,4
* CNT   3 HDP CHAINS /  18 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

98.76.5..7.6..4....5..8.6..6......3..9..5.2.....1.......9.2......86..9.........52 initial
98.76.5..7.65.4....5..8.6..6......3..9..5.2.....1.......9.2......86..9...6.....52 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 2.. / A8 = 2  =>  0 pairs (_) / B8 = 2  =>  2 pairs (_)
B2,H2: 2.. / B2 = 2  =>  2 pairs (_) / H2 = 2  =>  2 pairs (_)
D3,D4: 2.. / D3 = 2  =>  1 pairs (_) / D4 = 2  =>  1 pairs (_)
C4,C6: 5.. / C4 = 5  =>  0 pairs (_) / C6 = 5  =>  0 pairs (_)
I4,I6: 5.. / I4 = 5  =>  0 pairs (_) / I6 = 5  =>  0 pairs (_)
A7,A8: 5.. / A7 = 5  =>  0 pairs (_) / A8 = 5  =>  2 pairs (_)
F7,F8: 5.. / F7 = 5  =>  2 pairs (_) / F8 = 5  =>  0 pairs (_)
C4,I4: 5.. / C4 = 5  =>  0 pairs (_) / I4 = 5  =>  0 pairs (_)
C6,I6: 5.. / C6 = 5  =>  0 pairs (_) / I6 = 5  =>  0 pairs (_)
A7,F7: 5.. / A7 = 5  =>  0 pairs (_) / F7 = 5  =>  2 pairs (_)
A8,F8: 5.. / A8 = 5  =>  2 pairs (_) / F8 = 5  =>  0 pairs (_)
F5,F6: 6.. / F5 = 6  =>  2 pairs (_) / F6 = 6  =>  0 pairs (_)
H7,I7: 6.. / H7 = 6  =>  0 pairs (_) / I7 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  0 pairs (_)
A5,A6: 8.. / A5 = 8  =>  1 pairs (_) / A6 = 8  =>  1 pairs (_)
* DURATION: 0:00:09.919919  START: 18:47:06.523190  END: 18:47:16.443109 2020-11-10
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,H2: 2.. / B2 = 2 ==>  2 pairs (_) / H2 = 2 ==>  2 pairs (_)
F5,F6: 6.. / F5 = 6 ==>  2 pairs (_) / F6 = 6 ==>  0 pairs (_)
A8,F8: 5.. / A8 = 5 ==>  0 pairs (*) / F8 = 5  =>  0 pairs (X)
* DURATION: 0:00:31.654142  START: 18:47:16.443765  END: 18:47:48.097907 2020-11-10
* REASONING A8,F8: 5..
* DIS # A8: 5 # E2: 1,3 => CTR => E2: 9
* DIS # A8: 5 + E2: 9 # I2: 1,3 => CTR => I2: 8
* PRF # A8: 5 + E2: 9 + I2: 8 # H7: 1,4 => SOL
* STA # A8: 5 + E2: 9 + I2: 8 + H7: 1,4
* CNT   3 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2320257;2019_03_16;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,H2: 2..:

* INC # B2: 2 => UNS
* INC # H2: 2 # C1: 1,3 => UNS
* INC # H2: 2 # A3: 1,3 => UNS
* INC # H2: 2 # C3: 1,3 => UNS
* INC # H2: 2 # E2: 1,3 => UNS
* INC # H2: 2 # G2: 1,3 => UNS
* INC # H2: 2 # I2: 1,3 => UNS
* INC # H2: 2 # B7: 1,3 => UNS
* INC # H2: 2 # B8: 1,3 => UNS
* INC # H2: 2 # I1: 1,4 => UNS
* INC # H2: 2 # H3: 1,4 => UNS
* INC # H2: 2 # I3: 1,4 => UNS
* INC # H2: 2 # C1: 1,4 => UNS
* INC # H2: 2 # C1: 2,3 => UNS
* INC # H2: 2 # H5: 1,4 => UNS
* INC # H2: 2 # H7: 1,4 => UNS
* INC # H2: 2 # H8: 1,4 => UNS
* INC # H2: 2 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F5,F6: 6..:

* INC # F5: 6 # I6: 5,9 => UNS
* INC # F5: 6 # I6: 6 => UNS
* INC # F5: 6 # I6: 6,9 => UNS
* INC # F5: 6 # I6: 5 => UNS
* INC # F5: 6 => UNS
* INC # F6: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for A8,F8: 5..:

* INC # A8: 5 # C1: 1,3 => UNS
* INC # A8: 5 # A3: 1,3 => UNS
* INC # A8: 5 # C3: 1,3 => UNS
* DIS # A8: 5 # E2: 1,3 => CTR => E2: 9
* INC # A8: 5 + E2: 9 # G2: 1,3 => UNS
* DIS # A8: 5 + E2: 9 # I2: 1,3 => CTR => I2: 8
* INC # A8: 5 + E2: 9 + I2: 8 # B7: 1,3 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # B7: 4,7 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # C1: 1,3 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # A3: 1,3 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # C3: 1,3 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # B7: 1,3 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # B7: 4,7 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # I1: 1,4 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # I1: 3 => UNS
* INC # A8: 5 + E2: 9 + I2: 8 # H5: 1,4 => UNS
* PRF # A8: 5 + E2: 9 + I2: 8 # H7: 1,4 => SOL
* STA # A8: 5 + E2: 9 + I2: 8 + H7: 1,4
* CNT  17 HDP CHAINS /  18 HYP OPENED