Analysis of xx-ph-01115306-13_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. initial

Autosolve

position: 98.7.....6...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. 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: 0:00:00.000009

List of important HDP chains detected for H4,I4: 2..:

* DIS # H4: 2 # G8: 6,7 => CTR => G8: 1,2,3
* DIS # H4: 2 + G8: 1,2,3 # I8: 6,7 => CTR => I8: 1,2
* CNT   2 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for E3,F3: 9..:

* DIS # F3: 9 # A3: 1,2 => CTR => A3: 5
* DIS # F3: 9 + A3: 5 # B3: 1,2 => CTR => B3: 7
* DIS # F3: 9 + A3: 5 + B3: 7 # G3: 1,2 => CTR => G3: 6
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 # I3: 1,2 => CTR => I3: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # F2: 3,4 => CTR => F2: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E6: 3,4 => CTR => E6: 7,9
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 3 => CTR => G8: 1,2
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 # I1: 1,2 => CTR => I1: 5
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I9: 1,7 => CTR => I9: 2,9
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 # C6: 5,9 => CTR => C6: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 + C6: 8 => CTR => F3: 6,8
* STA F3: 6,8
* CNT  11 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for F1,F3: 6..:

* DIS # F3: 6 # F4: 3,4 => CTR => F4: 5,9
* DIS # F3: 6 + F4: 5,9 # E1: 3,4 => CTR => E1: 1,2
* CNT   2 HDP CHAINS /  28 HYP OPENED

List of important HDP chains detected for C4,C6: 9..:

* PRF # C4: 9 # H4: 4 => SOL
* STA # C4: 9 + H4: 4
* CNT   1 HDP CHAINS /   3 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...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. initial
98.7.....6...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H4,I4: 2.. / H4 = 2  =>  2 pairs (_) / I4 = 2  =>  0 pairs (_)
G7,G8: 3.. / G7 = 3  =>  2 pairs (_) / G8 = 3  =>  0 pairs (_)
D7,F8: 5.. / D7 = 5  =>  0 pairs (_) / F8 = 5  =>  1 pairs (_)
F1,F3: 6.. / F1 = 6  =>  1 pairs (_) / F3 = 6  =>  1 pairs (_)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
C4,C6: 9.. / C4 = 9  =>  1 pairs (_) / C6 = 9  =>  0 pairs (_)
H9,I9: 9.. / H9 = 9  =>  0 pairs (_) / I9 = 9  =>  1 pairs (_)
* DURATION: 0:00:04.602627  START: 06:10:56.107513  END: 06:11:00.710140 2020-10-23
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G7,G8: 3.. / G7 = 3 ==>  2 pairs (_) / G8 = 3 ==>  0 pairs (_)
H4,I4: 2.. / H4 = 2 ==>  3 pairs (_) / I4 = 2 ==>  0 pairs (_)
E3,F3: 9.. / E3 = 9 ==>  1 pairs (_) / F3 = 9 ==>  0 pairs (X)
F1,F3: 6.. / F1 = 6 ==>  1 pairs (_) / F3 = 6 ==>  3 pairs (_)
H9,I9: 9.. / H9 = 9 ==>  0 pairs (_) / I9 = 9 ==>  1 pairs (_)
C4,C6: 9.. / C4 = 9 ==>  0 pairs (*) / C6 = 9  =>  0 pairs (X)
* DURATION: 0:01:04.126014  START: 06:11:00.710998  END: 06:12:04.837012 2020-10-23
* REASONING H4,I4: 2..
* DIS # H4: 2 # G8: 6,7 => CTR => G8: 1,2,3
* DIS # H4: 2 + G8: 1,2,3 # I8: 6,7 => CTR => I8: 1,2
* CNT   2 HDP CHAINS /  37 HYP OPENED
* REASONING E3,F3: 9..
* DIS # F3: 9 # A3: 1,2 => CTR => A3: 5
* DIS # F3: 9 + A3: 5 # B3: 1,2 => CTR => B3: 7
* DIS # F3: 9 + A3: 5 + B3: 7 # G3: 1,2 => CTR => G3: 6
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 # I3: 1,2 => CTR => I3: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # F2: 3,4 => CTR => F2: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E6: 3,4 => CTR => E6: 7,9
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 3 => CTR => G8: 1,2
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 # I1: 1,2 => CTR => I1: 5
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I9: 1,7 => CTR => I9: 2,9
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 # C6: 5,9 => CTR => C6: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 + C6: 8 => CTR => F3: 6,8
* STA F3: 6,8
* CNT  11 HDP CHAINS /  27 HYP OPENED
* REASONING F1,F3: 6..
* DIS # F3: 6 # F4: 3,4 => CTR => F4: 5,9
* DIS # F3: 6 + F4: 5,9 # E1: 3,4 => CTR => E1: 1,2
* CNT   2 HDP CHAINS /  28 HYP OPENED
* REASONING C4,C6: 9..
* PRF # C4: 9 # H4: 4 => SOL
* STA # C4: 9 + H4: 4
* CNT   1 HDP CHAINS /   3 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

1115306;13_09;GP;22;11.40;11.40;9.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G7,G8: 3..:

* INC # G7: 3 # A7: 2,5 => UNS
* INC # G7: 3 # A7: 8 => UNS
* INC # G7: 3 # H7: 2,7 => UNS
* INC # G7: 3 # H7: 6,8 => UNS
* INC # G7: 3 => UNS
* INC # G8: 3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H4,I4: 2..:

* INC # H4: 2 # H5: 5,9 => UNS
* INC # H4: 2 # I6: 5,9 => UNS
* INC # H4: 2 # C4: 5,9 => UNS
* INC # H4: 2 # F4: 5,9 => UNS
* INC # H4: 2 # G7: 6,7 => UNS
* INC # H4: 2 # H7: 6,7 => UNS
* DIS # H4: 2 # G8: 6,7 => CTR => G8: 1,2,3
* DIS # H4: 2 + G8: 1,2,3 # I8: 6,7 => CTR => I8: 1,2
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C8: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 4,5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # G7: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H7: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C8: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 4,5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I6: 5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C4: 5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # F4: 5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # G7: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H7: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C8: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 6,7 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 4,5,9 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # G8: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I9: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # A8: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I1: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I2: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I3: 1,2 => UNS
* INC # H4: 2 + G8: 1,2,3 + I8: 1,2 => UNS
* INC # I4: 2 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for E3,F3: 9..:

* INC # E3: 9 # I3: 6,8 => UNS
* INC # E3: 9 # I3: 1,2,5,7 => UNS
* INC # E3: 9 => UNS
* INC # F3: 9 # E1: 1,2 => UNS
* INC # F3: 9 # D2: 1,2 => UNS
* INC # F3: 9 # D3: 1,2 => UNS
* DIS # F3: 9 # A3: 1,2 => CTR => A3: 5
* DIS # F3: 9 + A3: 5 # B3: 1,2 => CTR => B3: 7
* DIS # F3: 9 + A3: 5 + B3: 7 # G3: 1,2 => CTR => G3: 6
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 # I3: 1,2 => CTR => I3: 8
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # D2: 3,4 => UNS
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # F2: 3,4 => CTR => F2: 8
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E4: 3,4 => UNS
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E6: 3,4 => CTR => E6: 7,9
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 3,4 => UNS
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 1 => UNS
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 3,4 => UNS
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 1 => UNS
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # I1: 1,2 => UNS
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # I1: 5 => UNS
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 1,2 => UNS
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 3 => CTR => G8: 1,2
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 # I1: 1,2 => CTR => I1: 5
* INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I8: 1,7 => UNS
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I9: 1,7 => CTR => I9: 2,9
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 # C6: 5,9 => CTR => C6: 8
* DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 + C6: 8 => CTR => F3: 6,8
* STA F3: 6,8
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F1,F3: 6..:

* INC # F1: 6 # F5: 8,9 => UNS
* INC # F1: 6 # F5: 4,5,7 => UNS
* INC # F1: 6 => UNS
* INC # F3: 6 # E1: 3,4 => UNS
* INC # F3: 6 # D2: 3,4 => UNS
* INC # F3: 6 # F2: 3,4 => UNS
* DIS # F3: 6 # F4: 3,4 => CTR => F4: 5,9
* INC # F3: 6 + F4: 5,9 # F8: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 # F9: 3,4 => UNS
* DIS # F3: 6 + F4: 5,9 # E1: 3,4 => CTR => E1: 1,2
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # D2: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F2: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F8: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F9: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # D2: 1,2 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # D3: 1,2 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # G1: 1,2 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # I1: 1,2 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # D2: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F2: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F8: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F9: 3,4 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F5: 5,9 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # F5: 7,8 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # C4: 5,9 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # H4: 5,9 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 # I4: 5,9 => UNS
* INC # F3: 6 + F4: 5,9 + E1: 1,2 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for H9,I9: 9..:

* INC # I9: 9 # H4: 2,5 => UNS
* INC # I9: 9 # H4: 4,9 => UNS
* INC # I9: 9 # I1: 2,5 => UNS
* INC # I9: 9 # I3: 2,5 => UNS
* INC # I9: 9 => UNS
* INC # H9: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for C4,C6: 9..:

* INC # C4: 9 # H4: 2,5 => UNS
* PRF # C4: 9 # H4: 4 => SOL
* STA # C4: 9 + H4: 4
* CNT   2 HDP CHAINS /   3 HYP OPENED