Analysis of xx-ph-00276423-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1..1..2.3..4..5.6....7.....2.6.7..8..1......9...86..4...7.58....3....9... initial

Autosolve

position: ........1..1..2.3..4..5.6....7.....2.6.7..8..1......9...86..4...7.58....3....9... 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

Time used: 0:00:00.000010

List of important HDP chains detected for G6,I6: 7..:

* DIS # I6: 7 # H9: 1,2 => CTR => H9: 5,7,8
* DIS # G6: 7 # A2: 5,9 => CTR => A2: 6,7,8
* CNT   2 HDP CHAINS /  44 HYP OPENED

List of important HDP chains detected for H4,I6: 6..:

* DIS # I6: 6 # I2: 5,9 => CTR => I2: 4,7,8
* DIS # I6: 6 + I2: 4,7,8 # A2: 5,9 => CTR => A2: 6,7,8
* CNT   2 HDP CHAINS /  26 HYP OPENED

List of important HDP chains detected for H1,I2: 4..:

* DIS # H1: 4 # H9: 1,5 => CTR => H9: 2,6,7,8
* CNT   1 HDP CHAINS /  35 HYP OPENED

List of important HDP chains detected for D3,F3: 1..:

* DIS # F3: 1 # E7: 3,7 => CTR => E7: 1,2
* DIS # F3: 1 + E7: 1,2 # A5: 4,5 => CTR => A5: 2,9
* DIS # F3: 1 + E7: 1,2 + A5: 2,9 # C5: 4,5 => CTR => C5: 2,3,9
* PRF # F3: 1 + E7: 1,2 + A5: 2,9 + C5: 2,3,9 # H5: 4,5 => SOL
* STA # F3: 1 + E7: 1,2 + A5: 2,9 + C5: 2,3,9 + H5: 4,5
* CNT   4 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

........1..1..2.3..4..5.6....7.....2.6.7..8..1......9...86..4...7.58....3....9... initial
........1..1..2.3..4..5.6....7.....2.6.7..8..1......9...86..4...7.58....3....9... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D3,F3: 1.. / D3 = 1  =>  1 pairs (_) / F3 = 1  =>  2 pairs (_)
B7,B9: 1.. / B7 = 1  =>  2 pairs (_) / B9 = 1  =>  1 pairs (_)
D6,D9: 2.. / D6 = 2  =>  1 pairs (_) / D9 = 2  =>  1 pairs (_)
H1,I2: 4.. / H1 = 4  =>  1 pairs (_) / I2 = 4  =>  2 pairs (_)
H4,I6: 6.. / H4 = 6  =>  1 pairs (_) / I6 = 6  =>  2 pairs (_)
A2,E2: 6.. / A2 = 6  =>  0 pairs (_) / E2 = 6  =>  0 pairs (_)
G6,I6: 7.. / G6 = 7  =>  1 pairs (_) / I6 = 7  =>  3 pairs (_)
H9,I9: 8.. / H9 = 8  =>  1 pairs (_) / I9 = 8  =>  1 pairs (_)
* DURATION: 0:00:05.082671  START: 15:49:04.292213  END: 15:49:09.374884 2020-12-24
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G6,I6: 7.. / G6 = 7 ==>  1 pairs (_) / I6 = 7 ==>  3 pairs (_)
H4,I6: 6.. / H4 = 6 ==>  1 pairs (_) / I6 = 6 ==>  2 pairs (_)
H1,I2: 4.. / H1 = 4 ==>  1 pairs (_) / I2 = 4 ==>  2 pairs (_)
B7,B9: 1.. / B7 = 1 ==>  2 pairs (_) / B9 = 1 ==>  1 pairs (_)
D3,F3: 1.. / D3 = 1  =>  0 pairs (X) / F3 = 1 ==>  0 pairs (*)
* DURATION: 0:01:05.524698  START: 15:49:09.376025  END: 15:50:14.900723 2020-12-24
* REASONING G6,I6: 7..
* DIS # I6: 7 # H9: 1,2 => CTR => H9: 5,7,8
* DIS # G6: 7 # A2: 5,9 => CTR => A2: 6,7,8
* CNT   2 HDP CHAINS /  44 HYP OPENED
* REASONING H4,I6: 6..
* DIS # I6: 6 # I2: 5,9 => CTR => I2: 4,7,8
* DIS # I6: 6 + I2: 4,7,8 # A2: 5,9 => CTR => A2: 6,7,8
* CNT   2 HDP CHAINS /  26 HYP OPENED
* REASONING H1,I2: 4..
* DIS # H1: 4 # H9: 1,5 => CTR => H9: 2,6,7,8
* CNT   1 HDP CHAINS /  35 HYP OPENED
* REASONING D3,F3: 1..
* DIS # F3: 1 # E7: 3,7 => CTR => E7: 1,2
* DIS # F3: 1 + E7: 1,2 # A5: 4,5 => CTR => A5: 2,9
* DIS # F3: 1 + E7: 1,2 + A5: 2,9 # C5: 4,5 => CTR => C5: 2,3,9
* PRF # F3: 1 + E7: 1,2 + A5: 2,9 + C5: 2,3,9 # H5: 4,5 => SOL
* STA # F3: 1 + E7: 1,2 + A5: 2,9 + C5: 2,3,9 + H5: 4,5
* CNT   4 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

276423;12_12_03;dob;22;11.30;11.30;7.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G6,I6: 7..:

* INC # I6: 7 # I2: 8,9 => UNS
* INC # I6: 7 # I2: 4,5 => UNS
* INC # I6: 7 # A3: 8,9 => UNS
* INC # I6: 7 # D3: 8,9 => UNS
* INC # I6: 7 # G4: 3,5 => UNS
* INC # I6: 7 # I5: 3,5 => UNS
* INC # I6: 7 # B6: 3,5 => UNS
* INC # I6: 7 # C6: 3,5 => UNS
* INC # I6: 7 # F6: 3,5 => UNS
* INC # I6: 7 # H7: 1,2 => UNS
* INC # I6: 7 # G8: 1,2 => UNS
* INC # I6: 7 # G9: 1,2 => UNS
* DIS # I6: 7 # H9: 1,2 => CTR => H9: 5,7,8
* INC # I6: 7 + H9: 5,7,8 # H7: 1,2 => UNS
* INC # I6: 7 + H9: 5,7,8 # G8: 1,2 => UNS
* INC # I6: 7 + H9: 5,7,8 # G9: 1,2 => UNS
* INC # I6: 7 + H9: 5,7,8 # I2: 8,9 => UNS
* INC # I6: 7 + H9: 5,7,8 # I2: 4,5 => UNS
* INC # I6: 7 + H9: 5,7,8 # A3: 8,9 => UNS
* INC # I6: 7 + H9: 5,7,8 # D3: 8,9 => UNS
* INC # I6: 7 + H9: 5,7,8 # G4: 3,5 => UNS
* INC # I6: 7 + H9: 5,7,8 # I5: 3,5 => UNS
* INC # I6: 7 + H9: 5,7,8 # B6: 3,5 => UNS
* INC # I6: 7 + H9: 5,7,8 # C6: 3,5 => UNS
* INC # I6: 7 + H9: 5,7,8 # F6: 3,5 => UNS
* INC # I6: 7 + H9: 5,7,8 # H7: 1,2 => UNS
* INC # I6: 7 + H9: 5,7,8 # G8: 1,2 => UNS
* INC # I6: 7 + H9: 5,7,8 # G9: 1,2 => UNS
* INC # I6: 7 + H9: 5,7,8 => UNS
* INC # G6: 7 # G1: 5,9 => UNS
* INC # G6: 7 # I2: 5,9 => UNS
* DIS # G6: 7 # A2: 5,9 => CTR => A2: 6,7,8
* INC # G6: 7 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # B2: 8 => UNS
* INC # G6: 7 + A2: 6,7,8 # G1: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # I2: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # B2: 8 => UNS
* INC # G6: 7 + A2: 6,7,8 # G1: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # I2: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # G6: 7 + A2: 6,7,8 # B2: 8 => UNS
* INC # G6: 7 + A2: 6,7,8 => UNS
* CNT  44 HDP CHAINS /  44 HYP OPENED

Full list of HDP chains traversed for H4,I6: 6..:

* INC # I6: 6 # G1: 5,9 => UNS
* DIS # I6: 6 # I2: 5,9 => CTR => I2: 4,7,8
* INC # I6: 6 + I2: 4,7,8 # G1: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 # G1: 2 => UNS
* DIS # I6: 6 + I2: 4,7,8 # A2: 5,9 => CTR => A2: 6,7,8
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 8 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # G1: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # G1: 2 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 8 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # I7: 3,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # G8: 3,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # G1: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # G1: 2 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 5,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # B2: 8 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # I7: 3,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 # G8: 3,9 => UNS
* INC # I6: 6 + I2: 4,7,8 + A2: 6,7,8 => UNS
* INC # H4: 6 # H7: 1,2 => UNS
* INC # H4: 6 # G8: 1,2 => UNS
* INC # H4: 6 # G9: 1,2 => UNS
* INC # H4: 6 # H9: 1,2 => UNS
* INC # H4: 6 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for H1,I2: 4..:

* INC # I2: 4 # D1: 8,9 => UNS
* INC # I2: 4 # D3: 8,9 => UNS
* INC # I2: 4 # A2: 8,9 => UNS
* INC # I2: 4 # B2: 8,9 => UNS
* INC # I2: 4 # D4: 8,9 => UNS
* INC # I2: 4 # D4: 1,3,4 => UNS
* INC # I2: 4 # G4: 3,5 => UNS
* INC # I2: 4 # G6: 3,5 => UNS
* INC # I2: 4 # I6: 3,5 => UNS
* INC # I2: 4 # C5: 3,5 => UNS
* INC # I2: 4 # F5: 3,5 => UNS
* INC # I2: 4 # I7: 3,5 => UNS
* INC # I2: 4 # I7: 7,9 => UNS
* INC # I2: 4 => UNS
* INC # H1: 4 # G4: 1,5 => UNS
* INC # H1: 4 # H4: 1,5 => UNS
* INC # H1: 4 # F5: 1,5 => UNS
* INC # H1: 4 # F5: 3,4 => UNS
* INC # H1: 4 # H7: 1,5 => UNS
* DIS # H1: 4 # H9: 1,5 => CTR => H9: 2,6,7,8
* INC # H1: 4 + H9: 2,6,7,8 # H7: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H7: 2,7 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # G4: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H4: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # F5: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # F5: 3,4 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H7: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H7: 2,7 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # G4: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H4: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # F5: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # F5: 3,4 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H7: 1,5 => UNS
* INC # H1: 4 + H9: 2,6,7,8 # H7: 2,7 => UNS
* INC # H1: 4 + H9: 2,6,7,8 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for B7,B9: 1..:

* INC # B7: 1 # A7: 2,5 => UNS
* INC # B7: 1 # C9: 2,5 => UNS
* INC # B7: 1 # G9: 2,5 => UNS
* INC # B7: 1 # H9: 2,5 => UNS
* INC # B7: 1 # B1: 2,5 => UNS
* INC # B7: 1 # B6: 2,5 => UNS
* INC # B7: 1 # E7: 3,7 => UNS
* INC # B7: 1 # E7: 2 => UNS
* INC # B7: 1 # I7: 3,7 => UNS
* INC # B7: 1 # I7: 5,9 => UNS
* INC # B7: 1 # F1: 3,7 => UNS
* INC # B7: 1 # F3: 3,7 => UNS
* INC # B7: 1 => UNS
* INC # B9: 1 # E9: 2,4 => UNS
* INC # B9: 1 # E9: 7 => UNS
* INC # B9: 1 # C9: 2,4 => UNS
* INC # B9: 1 # C9: 5,6 => UNS
* INC # B9: 1 # D6: 2,4 => UNS
* INC # B9: 1 # D6: 3,8 => UNS
* INC # B9: 1 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for D3,F3: 1..:

* DIS # F3: 1 # E7: 3,7 => CTR => E7: 1,2
* INC # F3: 1 + E7: 1,2 # I7: 3,7 => UNS
* INC # F3: 1 + E7: 1,2 # I7: 5,9 => UNS
* INC # F3: 1 + E7: 1,2 # F4: 4,5 => UNS
* INC # F3: 1 + E7: 1,2 # F6: 4,5 => UNS
* DIS # F3: 1 + E7: 1,2 # A5: 4,5 => CTR => A5: 2,9
* DIS # F3: 1 + E7: 1,2 + A5: 2,9 # C5: 4,5 => CTR => C5: 2,3,9
* PRF # F3: 1 + E7: 1,2 + A5: 2,9 + C5: 2,3,9 # H5: 4,5 => SOL
* STA # F3: 1 + E7: 1,2 + A5: 2,9 + C5: 2,3,9 + H5: 4,5
* CNT   8 HDP CHAINS /   9 HYP OPENED