Analysis of xx-ph-02237047-2019_01_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..5....9.....4..3.7.47.....9.39...7..6..6........9..6.4.....2.9........6.1 initial

Autosolve

position: 98.76.5..5.7..9.6...4..3.7947.6...9.39...7..6..6........9..6.4.....2.9........6.1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for F1,I1: 4..:

* DIS # F1: 4 # E7: 1,8 => CTR => E7: 3,5,7
* DIS # F1: 4 + E7: 3,5,7 # E9: 5,8 => CTR => E9: 3,4,7,9
* CNT   2 HDP CHAINS /  74 HYP OPENED

List of important HDP chains detected for G6,G7: 7..:

* DIS # G7: 7 # B2: 1,2 => CTR => B2: 3
* PRF # G7: 7 + B2: 3 # C9: 2,8 => SOL
* STA # G7: 7 + B2: 3 + C9: 2,8
* CNT   2 HDP CHAINS /   9 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..5....9.....4..3.7.47.....9.39...7..6..6........9..6.4.....2.9........6.1 initial
98.76.5..5.7..9.6...4..3.7947.6...9.39...7..6..6........9..6.4.....2.9........6.1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B2: 3.. / C1 = 3  =>  3 pairs (_) / B2 = 3  =>  1 pairs (_)
B8,B9: 4.. / B8 = 4  =>  1 pairs (_) / B9 = 4  =>  1 pairs (_)
F1,I1: 4.. / F1 = 4  =>  3 pairs (_) / I1 = 4  =>  1 pairs (_)
D3,E3: 5.. / D3 = 5  =>  1 pairs (_) / E3 = 5  =>  0 pairs (_)
A3,B3: 6.. / A3 = 6  =>  2 pairs (_) / B3 = 6  =>  1 pairs (_)
A8,B8: 6.. / A8 = 6  =>  1 pairs (_) / B8 = 6  =>  2 pairs (_)
A3,A8: 6.. / A3 = 6  =>  2 pairs (_) / A8 = 6  =>  1 pairs (_)
B3,B8: 6.. / B3 = 6  =>  1 pairs (_) / B8 = 6  =>  2 pairs (_)
G6,I6: 7.. / G6 = 7  =>  0 pairs (_) / I6 = 7  =>  3 pairs (_)
E7,E9: 7.. / E7 = 7  =>  0 pairs (_) / E9 = 7  =>  1 pairs (_)
A8,I8: 7.. / A8 = 7  =>  3 pairs (_) / I8 = 7  =>  0 pairs (_)
A9,E9: 7.. / A9 = 7  =>  0 pairs (_) / E9 = 7  =>  1 pairs (_)
G6,G7: 7.. / G6 = 7  =>  0 pairs (_) / G7 = 7  =>  3 pairs (_)
D6,E6: 9.. / D6 = 9  =>  0 pairs (_) / E6 = 9  =>  0 pairs (_)
D9,E9: 9.. / D9 = 9  =>  0 pairs (_) / E9 = 9  =>  0 pairs (_)
D6,D9: 9.. / D6 = 9  =>  0 pairs (_) / D9 = 9  =>  0 pairs (_)
E6,E9: 9.. / E6 = 9  =>  0 pairs (_) / E9 = 9  =>  0 pairs (_)
* DURATION: 0:00:11.796281  START: 08:32:33.164068  END: 08:32:44.960349 2020-09-24
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,I1: 4.. / F1 = 4 ==>  3 pairs (_) / I1 = 4 ==>  1 pairs (_)
C1,B2: 3.. / C1 = 3 ==>  3 pairs (_) / B2 = 3 ==>  1 pairs (_)
G6,G7: 7.. / G6 = 7  =>  0 pairs (X) / G7 = 7 ==>  0 pairs (*)
* DURATION: 0:01:00.773547  START: 08:32:44.960936  END: 08:33:45.734483 2020-09-24
* REASONING F1,I1: 4..
* DIS # F1: 4 # E7: 1,8 => CTR => E7: 3,5,7
* DIS # F1: 4 + E7: 3,5,7 # E9: 5,8 => CTR => E9: 3,4,7,9
* CNT   2 HDP CHAINS /  74 HYP OPENED
* REASONING G6,G7: 7..
* DIS # G7: 7 # B2: 1,2 => CTR => B2: 3
* PRF # G7: 7 + B2: 3 # C9: 2,8 => SOL
* STA # G7: 7 + B2: 3 + C9: 2,8
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2237047;2019_01_07;PAQ;25;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,I1: 4..:

* INC # F1: 4 # D2: 1,8 => UNS
* INC # F1: 4 # D3: 1,8 => UNS
* INC # F1: 4 # E3: 1,8 => UNS
* INC # F1: 4 # G2: 1,8 => UNS
* INC # F1: 4 # G2: 2,3,4 => UNS
* INC # F1: 4 # E4: 1,8 => UNS
* INC # F1: 4 # E5: 1,8 => UNS
* INC # F1: 4 # E6: 1,8 => UNS
* DIS # F1: 4 # E7: 1,8 => CTR => E7: 3,5,7
* INC # F1: 4 + E7: 3,5,7 # D2: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # D3: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # E3: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # G2: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # G2: 2,3,4 => UNS
* INC # F1: 4 + E7: 3,5,7 # E4: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # E5: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # E6: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # H1: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # G2: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # I2: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # C1: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # C1: 1 => UNS
* INC # F1: 4 + E7: 3,5,7 # I4: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # I6: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # I7: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 # D7: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # D8: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # F8: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 # D9: 5,8 => UNS
* DIS # F1: 4 + E7: 3,5,7 # E9: 5,8 => CTR => E9: 3,4,7,9
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # C9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # H9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F4: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F6: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D7: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D8: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F8: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # C9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # H9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F4: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F6: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D2: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D3: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # E3: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # G2: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # G2: 2,3,4 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # E4: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # E5: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # E6: 1,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # H1: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # G2: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # I2: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # C1: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # C1: 1 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # I4: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # I6: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # I7: 2,3 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D7: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D8: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F8: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # D9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # C9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # H9: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F4: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 # F6: 5,8 => UNS
* INC # F1: 4 + E7: 3,5,7 + E9: 3,4,7,9 => UNS
* INC # I1: 4 # D2: 1,2 => UNS
* INC # I1: 4 # D3: 1,2 => UNS
* INC # I1: 4 # C1: 1,2 => UNS
* INC # I1: 4 # H1: 1,2 => UNS
* INC # I1: 4 # F4: 1,2 => UNS
* INC # I1: 4 # F6: 1,2 => UNS
* INC # I1: 4 => UNS
* CNT  74 HDP CHAINS /  74 HYP OPENED

Full list of HDP chains traversed for C1,B2: 3..:

* INC # C1: 3 # A3: 1,2 => UNS
* INC # C1: 3 # B3: 1,2 => UNS
* INC # C1: 3 # D2: 1,2 => UNS
* INC # C1: 3 # G2: 1,2 => UNS
* INC # C1: 3 # B6: 1,2 => UNS
* INC # C1: 3 # B7: 1,2 => UNS
* INC # C1: 3 # G2: 1,2 => UNS
* INC # C1: 3 # G3: 1,2 => UNS
* INC # C1: 3 # F1: 1,2 => UNS
* INC # C1: 3 # F1: 4 => UNS
* INC # C1: 3 # H5: 1,2 => UNS
* INC # C1: 3 # H6: 1,2 => UNS
* INC # C1: 3 # G2: 2,4 => UNS
* INC # C1: 3 # I2: 2,4 => UNS
* INC # C1: 3 # F1: 2,4 => UNS
* INC # C1: 3 # F1: 1 => UNS
* INC # C1: 3 # I6: 2,4 => UNS
* INC # C1: 3 # I6: 3,5,7,8 => UNS
* INC # C1: 3 => UNS
* INC # B2: 3 # A3: 1,2 => UNS
* INC # B2: 3 # B3: 1,2 => UNS
* INC # B2: 3 # F1: 1,2 => UNS
* INC # B2: 3 # H1: 1,2 => UNS
* INC # B2: 3 # C4: 1,2 => UNS
* INC # B2: 3 # C5: 1,2 => UNS
* INC # B2: 3 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for G6,G7: 7..:

* INC # G7: 7 # C1: 1,2 => UNS
* DIS # G7: 7 # B2: 1,2 => CTR => B2: 3
* INC # G7: 7 + B2: 3 # D3: 1,2 => UNS
* INC # G7: 7 + B2: 3 # G3: 1,2 => UNS
* INC # G7: 7 + B2: 3 # B6: 1,2 => UNS
* INC # G7: 7 + B2: 3 # B7: 1,2 => UNS
* INC # G7: 7 + B2: 3 # A7: 2,8 => UNS
* PRF # G7: 7 + B2: 3 # C9: 2,8 => SOL
* STA # G7: 7 + B2: 3 + C9: 2,8
* CNT   8 HDP CHAINS /   9 HYP OPENED