Analysis of xx-ph-01116570-13_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..9..8....6..5...6......4..7.3..6....8.....53.......2.9...1.....75..9.. initial

Autosolve

position: 98.76.5..7..9..8....6..5...6......4..7.3..6....8.....53.......2.9...1.....75..9.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for D3,E3: 8..:

* DIS # D3: 8 # F7: 4,6 => CTR => F7: 7,8,9
* CNT   1 HDP CHAINS /  25 HYP OPENED

List of important HDP chains detected for A5,A8: 5..:

* DIS # A8: 5 # B7: 1,4 => CTR => B7: 6
* DIS # A8: 5 + B7: 6 # F7: 4,8 => CTR => F7: 7,9
* CNT   2 HDP CHAINS /  69 HYP OPENED

List of important HDP chains detected for E4,E5: 5..:

* DIS # E5: 5 # B7: 1,4 => CTR => B7: 6
* PRF # E5: 5 + B7: 6 # B9: 2 => SOL
* STA # E5: 5 + B7: 6 + B9: 2
* CNT   2 HDP CHAINS /   5 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..9..8....6..5...6......4..7.3..6....8.....53.......2.9...1.....75..9.. initial
98.76.5..7..9..8....6..5...6......4..7.3..6....8.....53.......2.9...1.....75..9.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B2,C2: 5.. / B2 = 5  =>  0 pairs (_) / C2 = 5  =>  2 pairs (_)
E4,E5: 5.. / E4 = 5  =>  0 pairs (_) / E5 = 5  =>  2 pairs (_)
H7,H8: 5.. / H7 = 5  =>  1 pairs (_) / H8 = 5  =>  1 pairs (_)
A5,A8: 5.. / A5 = 5  =>  0 pairs (_) / A8 = 5  =>  2 pairs (_)
H2,I2: 6.. / H2 = 6  =>  0 pairs (_) / I2 = 6  =>  0 pairs (_)
D6,F6: 6.. / D6 = 6  =>  1 pairs (_) / F6 = 6  =>  0 pairs (_)
B7,B9: 6.. / B7 = 6  =>  1 pairs (_) / B9 = 6  =>  0 pairs (_)
D3,E3: 8.. / D3 = 8  =>  2 pairs (_) / E3 = 8  =>  0 pairs (_)
A8,A9: 8.. / A8 = 8  =>  0 pairs (_) / A9 = 8  =>  0 pairs (_)
H3,I3: 9.. / H3 = 9  =>  0 pairs (_) / I3 = 9  =>  1 pairs (_)
C4,C5: 9.. / C4 = 9  =>  0 pairs (_) / C5 = 9  =>  1 pairs (_)
E7,F7: 9.. / E7 = 9  =>  0 pairs (_) / F7 = 9  =>  0 pairs (_)
* DURATION: 0:00:08.092469  START: 14:15:14.928072  END: 14:15:23.020541 2020-10-23
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,E3: 8.. / D3 = 8 ==>  2 pairs (_) / E3 = 8 ==>  0 pairs (_)
A5,A8: 5.. / A5 = 5 ==>  0 pairs (_) / A8 = 5 ==>  5 pairs (_)
E4,E5: 5.. / E4 = 5  =>  0 pairs (X) / E5 = 5 ==>  0 pairs (*)
* DURATION: 0:01:00.710899  START: 14:15:23.021242  END: 14:16:23.732141 2020-10-23
* REASONING D3,E3: 8..
* DIS # D3: 8 # F7: 4,6 => CTR => F7: 7,8,9
* CNT   1 HDP CHAINS /  25 HYP OPENED
* REASONING A5,A8: 5..
* DIS # A8: 5 # B7: 1,4 => CTR => B7: 6
* DIS # A8: 5 + B7: 6 # F7: 4,8 => CTR => F7: 7,9
* CNT   2 HDP CHAINS /  69 HYP OPENED
* REASONING E4,E5: 5..
* DIS # E5: 5 # B7: 1,4 => CTR => B7: 6
* PRF # E5: 5 + B7: 6 # B9: 2 => SOL
* STA # E5: 5 + B7: 6 + B9: 2
* CNT   2 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1116570;13_09;GP;24;11.40;11.40;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,E3: 8..:

* INC # D3: 8 # D6: 1,2 => UNS
* INC # D3: 8 # D6: 4,6 => UNS
* INC # D3: 8 # B4: 1,2 => UNS
* INC # D3: 8 # C4: 1,2 => UNS
* INC # D3: 8 # G4: 1,2 => UNS
* DIS # D3: 8 # F7: 4,6 => CTR => F7: 7,8,9
* INC # D3: 8 + F7: 7,8,9 # D8: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # F9: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # B7: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # B7: 1,5 => UNS
* INC # D3: 8 + F7: 7,8,9 # D6: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # D6: 1,2 => UNS
* INC # D3: 8 + F7: 7,8,9 # D6: 1,2 => UNS
* INC # D3: 8 + F7: 7,8,9 # D6: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # B4: 1,2 => UNS
* INC # D3: 8 + F7: 7,8,9 # C4: 1,2 => UNS
* INC # D3: 8 + F7: 7,8,9 # G4: 1,2 => UNS
* INC # D3: 8 + F7: 7,8,9 # D8: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # F9: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # B7: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # B7: 1,5 => UNS
* INC # D3: 8 + F7: 7,8,9 # D6: 4,6 => UNS
* INC # D3: 8 + F7: 7,8,9 # D6: 1,2 => UNS
* INC # D3: 8 + F7: 7,8,9 => UNS
* INC # E3: 8 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for A5,A8: 5..:

* DIS # A8: 5 # B7: 1,4 => CTR => B7: 6
* INC # A8: 5 + B7: 6 # B9: 1,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 1,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 2 => UNS
* INC # A8: 5 + B7: 6 # G7: 1,4 => UNS
* INC # A8: 5 + B7: 6 # G7: 7 => UNS
* INC # A8: 5 + B7: 6 # C1: 1,4 => UNS
* INC # A8: 5 + B7: 6 # C2: 1,4 => UNS
* INC # A8: 5 + B7: 6 # C5: 1,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 2,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 1 => UNS
* INC # A8: 5 + B7: 6 # D8: 2,4 => UNS
* INC # A8: 5 + B7: 6 # E8: 2,4 => UNS
* INC # A8: 5 + B7: 6 # C1: 2,4 => UNS
* INC # A8: 5 + B7: 6 # C2: 2,4 => UNS
* INC # A8: 5 + B7: 6 # C5: 2,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 1,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 2 => UNS
* INC # A8: 5 + B7: 6 # G7: 1,4 => UNS
* INC # A8: 5 + B7: 6 # G7: 7 => UNS
* INC # A8: 5 + B7: 6 # C1: 1,4 => UNS
* INC # A8: 5 + B7: 6 # C2: 1,4 => UNS
* INC # A8: 5 + B7: 6 # C5: 1,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 2,4 => UNS
* INC # A8: 5 + B7: 6 # B9: 1 => UNS
* INC # A8: 5 + B7: 6 # D8: 2,4 => UNS
* INC # A8: 5 + B7: 6 # E8: 2,4 => UNS
* INC # A8: 5 + B7: 6 # C1: 2,4 => UNS
* INC # A8: 5 + B7: 6 # C2: 2,4 => UNS
* INC # A8: 5 + B7: 6 # C5: 2,4 => UNS
* INC # A8: 5 + B7: 6 # E7: 4,8 => UNS
* DIS # A8: 5 + B7: 6 # F7: 4,8 => CTR => F7: 7,9
* INC # A8: 5 + B7: 6 + F7: 7,9 # E7: 4,8 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E7: 7,9 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D3: 4,8 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D3: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E4: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E5: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D6: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E6: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # B4: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C4: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # G4: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D3: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D3: 4,8 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # B9: 1,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # B9: 2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # G7: 1,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # G7: 7 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C1: 1,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C2: 1,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C5: 1,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # B9: 2,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # B9: 1 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D8: 2,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E8: 2,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C1: 2,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C2: 2,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # C5: 2,4 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E7: 4,8 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E7: 7,9 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D3: 4,8 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # D3: 1,2 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E7: 7,9 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # E7: 4,8 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # F4: 7,9 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 # F6: 7,9 => UNS
* INC # A8: 5 + B7: 6 + F7: 7,9 => UNS
* INC # A5: 5 => UNS
* CNT  69 HDP CHAINS /  69 HYP OPENED

Full list of HDP chains traversed for E4,E5: 5..:

* DIS # E5: 5 # B7: 1,4 => CTR => B7: 6
* INC # E5: 5 + B7: 6 # B9: 1,4 => UNS
* INC # E5: 5 + B7: 6 # B9: 1,4 => UNS
* PRF # E5: 5 + B7: 6 # B9: 2 => SOL
* STA # E5: 5 + B7: 6 + B9: 2
* CNT   4 HDP CHAINS /   5 HYP OPENED