Analysis of xx-ph-02316434-2019_01_13-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7.4.......5..8.9..8..6.53...3...8.......3..9.2.........9..5.6....8....1. initial

Autosolve

position: 98.76.5..7.45......5..8.9..8..6.53...3...8.......3..9.2.........9..5.6....8....1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for G6,I6: 8..:

* DIS # G6: 8 # H7: 4,7 => CTR => H7: 3,5,8
* DIS # G6: 8 + H7: 3,5,8 # I7: 4,7 => CTR => I7: 3,5,8,9
* CNT   2 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for C4,E4: 9..:

* DIS # E4: 9 # B2: 1,2 => CTR => B2: 6
* DIS # E4: 9 + B2: 6 # I2: 1,2 => CTR => I2: 3,8
* DIS # E4: 9 + B2: 6 + I2: 3,8 # G2: 8 => CTR => G2: 1,2
* PRF # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # I1: 1 => SOL
* STA # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 + I1: 1
* CNT   4 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..7.4.......5..8.9..8..6.53...3...8.......3..9.2.........9..5.6....8....1. initial
98.76.5..7.45......5..8.9..8..6.53...3...8.......3..9.2.........9..5.6....8....1. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C7,A9: 5.. / C7 = 5  =>  0 pairs (_) / A9 = 5  =>  0 pairs (_)
A9,I9: 5.. / A9 = 5  =>  0 pairs (_) / I9 = 5  =>  0 pairs (_)
H5,H7: 5.. / H5 = 5  =>  2 pairs (_) / H7 = 5  =>  0 pairs (_)
F7,F9: 6.. / F7 = 6  =>  0 pairs (_) / F9 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  0 pairs (_)
G6,I6: 8.. / G6 = 8  =>  2 pairs (_) / I6 = 8  =>  3 pairs (_)
D7,D8: 8.. / D7 = 8  =>  1 pairs (_) / D8 = 8  =>  0 pairs (_)
E2,F2: 9.. / E2 = 9  =>  2 pairs (_) / F2 = 9  =>  2 pairs (_)
C4,C5: 9.. / C4 = 9  =>  0 pairs (_) / C5 = 9  =>  2 pairs (_)
I7,I9: 9.. / I7 = 9  =>  0 pairs (_) / I9 = 9  =>  0 pairs (_)
C4,E4: 9.. / C4 = 9  =>  0 pairs (_) / E4 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.708804  START: 02:08:11.862231  END: 02:08:19.571035 2020-10-11
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G6,I6: 8.. / G6 = 8 ==>  2 pairs (_) / I6 = 8 ==>  3 pairs (_)
E2,F2: 9.. / E2 = 9 ==>  2 pairs (_) / F2 = 9 ==>  2 pairs (_)
C4,E4: 9.. / C4 = 9  =>  0 pairs (X) / E4 = 9 ==>  0 pairs (*)
* DURATION: 0:00:52.700812  START: 02:08:19.571646  END: 02:09:12.272458 2020-10-11
* REASONING G6,I6: 8..
* DIS # G6: 8 # H7: 4,7 => CTR => H7: 3,5,8
* DIS # G6: 8 + H7: 3,5,8 # I7: 4,7 => CTR => I7: 3,5,8,9
* CNT   2 HDP CHAINS /  46 HYP OPENED
* REASONING C4,E4: 9..
* DIS # E4: 9 # B2: 1,2 => CTR => B2: 6
* DIS # E4: 9 + B2: 6 # I2: 1,2 => CTR => I2: 3,8
* DIS # E4: 9 + B2: 6 + I2: 3,8 # G2: 8 => CTR => G2: 1,2
* PRF # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # I1: 1 => SOL
* STA # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 + I1: 1
* CNT   4 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2316434;2019_01_13;PAQ;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G6,I6: 8..:

* INC # I6: 8 # B4: 1,4 => UNS
* INC # I6: 8 # A6: 1,4 => UNS
* INC # I6: 8 # B6: 1,4 => UNS
* INC # I6: 8 # D5: 1,4 => UNS
* INC # I6: 8 # E5: 1,4 => UNS
* INC # I6: 8 # G5: 1,4 => UNS
* INC # I6: 8 # A8: 1,4 => UNS
* INC # I6: 8 # A8: 3 => UNS
* INC # I6: 8 => UNS
* INC # G6: 8 # I1: 1,2 => UNS
* INC # G6: 8 # I2: 1,2 => UNS
* INC # G6: 8 # I3: 1,2 => UNS
* INC # G6: 8 # B2: 1,2 => UNS
* INC # G6: 8 # E2: 1,2 => UNS
* INC # G6: 8 # F2: 1,2 => UNS
* INC # G6: 8 # G5: 1,2 => UNS
* INC # G6: 8 # G5: 4,7 => UNS
* DIS # G6: 8 # H7: 4,7 => CTR => H7: 3,5,8
* DIS # G6: 8 + H7: 3,5,8 # I7: 4,7 => CTR => I7: 3,5,8,9
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # H8: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I8: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G9: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I9: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # B7: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # E7: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # F7: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G5: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G5: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I1: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I2: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I3: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # B2: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # E2: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # F2: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G5: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G5: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # H8: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I8: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G9: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # I9: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # B7: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # E7: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # F7: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G5: 4,7 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 # G5: 1,2 => UNS
* INC # G6: 8 + H7: 3,5,8 + I7: 3,5,8,9 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for E2,F2: 9..:

* INC # E2: 9 => UNS
* INC # F2: 9 # F1: 1,2 => UNS
* INC # F2: 9 # D3: 1,2 => UNS
* INC # F2: 9 # F3: 1,2 => UNS
* INC # F2: 9 # B2: 1,2 => UNS
* INC # F2: 9 # G2: 1,2 => UNS
* INC # F2: 9 # I2: 1,2 => UNS
* INC # F2: 9 # E4: 1,2 => UNS
* INC # F2: 9 # E5: 1,2 => UNS
* INC # F2: 9 # I1: 2,4 => UNS
* INC # F2: 9 # H3: 2,4 => UNS
* INC # F2: 9 # I3: 2,4 => UNS
* INC # F2: 9 # F1: 2,4 => UNS
* INC # F2: 9 # F1: 1,3 => UNS
* INC # F2: 9 # H4: 2,4 => UNS
* INC # F2: 9 # H5: 2,4 => UNS
* INC # F2: 9 # H8: 2,4 => UNS
* INC # F2: 9 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C4,E4: 9..:

* INC # E4: 9 # F1: 1,2 => UNS
* INC # E4: 9 # D3: 1,2 => UNS
* INC # E4: 9 # F3: 1,2 => UNS
* DIS # E4: 9 # B2: 1,2 => CTR => B2: 6
* INC # E4: 9 + B2: 6 # G2: 1,2 => UNS
* DIS # E4: 9 + B2: 6 # I2: 1,2 => CTR => I2: 3,8
* INC # E4: 9 + B2: 6 + I2: 3,8 # G2: 1,2 => UNS
* DIS # E4: 9 + B2: 6 + I2: 3,8 # G2: 8 => CTR => G2: 1,2
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # E5: 1,2 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # E5: 4,7 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # F1: 1,2 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # D3: 1,2 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # F3: 1,2 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # E5: 1,2 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # E5: 4,7 => UNS
* INC # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # I1: 2,4 => UNS
* PRF # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 # I1: 1 => SOL
* STA # E4: 9 + B2: 6 + I2: 3,8 + G2: 1,2 + I1: 1
* CNT  17 HDP CHAINS /  18 HYP OPENED