Analysis of xx-ph-00014835-kz1a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5...4......6..9.3.4...5.....7.8.......2..4..3..9..13.....4...9........21 initial

Autosolve

position: 98.7..6..5...4......6..9.3.4...5.....7.8.......2..4..3..9..13.....4...9........21 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for F2,E3: 8..:

* DIS # F2: 8 # D3: 1,2 => CTR => D3: 5
* DIS # F2: 8 + D3: 5 # A3: 1,2 => CTR => A3: 7
* DIS # F2: 8 + D3: 5 + A3: 7 # G3: 1,2 => CTR => G3: 4,8
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 # B3: 4 => CTR => B3: 1,2
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 # G2: 1,7 => CTR => G2: 2,9
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 + G2: 2,9 # D4: 1,9 => CTR => D4: 3
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 + G2: 2,9 + D4: 3 => CTR => F2: 2,3,6
* STA F2: 2,3,6
* CNT   7 HDP CHAINS /  19 HYP OPENED

List of important HDP chains detected for F1,D3: 5..:

* DIS # F1: 5 # E3: 1,2 => CTR => E3: 8
* PRF # F1: 5 + E3: 8 # A3: 1,2 => SOL
* STA # F1: 5 + E3: 8 + A3: 1,2
* 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

98.7..6..5...4......6..9.3.4...5.....7.8.......2..4..3..9..13.....4...9........21 initial
98.7..6..5...4......6..9.3.4...5.....7.8.......2..4..3..9..13.....4...9........21 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B3: 4.. / C1 = 4  =>  3 pairs (_) / B3 = 4  =>  1 pairs (_)
C1,C9: 4.. / C1 = 4  =>  3 pairs (_) / C9 = 4  =>  1 pairs (_)
F1,D3: 5.. / F1 = 5  =>  3 pairs (_) / D3 = 5  =>  2 pairs (_)
C5,B6: 5.. / C5 = 5  =>  0 pairs (_) / B6 = 5  =>  1 pairs (_)
D2,F2: 6.. / D2 = 6  =>  2 pairs (_) / F2 = 6  =>  1 pairs (_)
C2,A3: 7.. / C2 = 7  =>  2 pairs (_) / A3 = 7  =>  1 pairs (_)
F4,E6: 7.. / F4 = 7  =>  0 pairs (_) / E6 = 7  =>  0 pairs (_)
F2,E3: 8.. / F2 = 8  =>  5 pairs (_) / E3 = 8  =>  0 pairs (_)
C4,A6: 8.. / C4 = 8  =>  1 pairs (_) / A6 = 8  =>  1 pairs (_)
G2,I2: 9.. / G2 = 9  =>  0 pairs (_) / I2 = 9  =>  0 pairs (_)
B4,B6: 9.. / B4 = 9  =>  0 pairs (_) / B6 = 9  =>  1 pairs (_)
D9,E9: 9.. / D9 = 9  =>  1 pairs (_) / E9 = 9  =>  0 pairs (_)
* DURATION: 0:00:08.646475  START: 07:49:54.131386  END: 07:50:02.777861 2020-10-19
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,E3: 8.. / F2 = 8 ==>  0 pairs (X) / E3 = 8  =>  0 pairs (_)
F1,D3: 5.. / F1 = 5 ==>  0 pairs (*) / D3 = 5  =>  0 pairs (X)
* DURATION: 0:00:26.630591  START: 07:50:02.778568  END: 07:50:29.409159 2020-10-19
* REASONING F2,E3: 8..
* DIS # F2: 8 # D3: 1,2 => CTR => D3: 5
* DIS # F2: 8 + D3: 5 # A3: 1,2 => CTR => A3: 7
* DIS # F2: 8 + D3: 5 + A3: 7 # G3: 1,2 => CTR => G3: 4,8
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 # B3: 4 => CTR => B3: 1,2
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 # G2: 1,7 => CTR => G2: 2,9
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 + G2: 2,9 # D4: 1,9 => CTR => D4: 3
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 + G2: 2,9 + D4: 3 => CTR => F2: 2,3,6
* STA F2: 2,3,6
* CNT   7 HDP CHAINS /  19 HYP OPENED
* REASONING F1,D3: 5..
* DIS # F1: 5 # E3: 1,2 => CTR => E3: 8
* PRF # F1: 5 + E3: 8 # A3: 1,2 => SOL
* STA # F1: 5 + E3: 8 + A3: 1,2
* CNT   2 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

14835;kz1a;GP;23;11.40;11.40;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,E3: 8..:

* INC # F2: 8 # B3: 1,4 => UNS
* INC # F2: 8 # B3: 2 => UNS
* INC # F2: 8 # H1: 1,4 => UNS
* INC # F2: 8 # H1: 5 => UNS
* INC # F2: 8 # E1: 1,2 => UNS
* DIS # F2: 8 # D3: 1,2 => CTR => D3: 5
* INC # F2: 8 + D3: 5 # E1: 1,2 => UNS
* INC # F2: 8 + D3: 5 # E1: 3 => UNS
* DIS # F2: 8 + D3: 5 # A3: 1,2 => CTR => A3: 7
* INC # F2: 8 + D3: 5 + A3: 7 # B3: 1,2 => UNS
* DIS # F2: 8 + D3: 5 + A3: 7 # G3: 1,2 => CTR => G3: 4,8
* INC # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 # B3: 1,2 => UNS
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 # B3: 4 => CTR => B3: 1,2
* INC # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 # E1: 1,2 => UNS
* INC # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 # E1: 3 => UNS
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 # G2: 1,7 => CTR => G2: 2,9
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 + G2: 2,9 # D4: 1,9 => CTR => D4: 3
* DIS # F2: 8 + D3: 5 + A3: 7 + G3: 4,8 + B3: 1,2 + G2: 2,9 + D4: 3 => CTR => F2: 2,3,6
* INC F2: 2,3,6 # E3: 8 => UNS
* STA F2: 2,3,6
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for F1,D3: 5..:

* INC # F1: 5 # E1: 1,2 => UNS
* INC # F1: 5 # D2: 1,2 => UNS
* DIS # F1: 5 # E3: 1,2 => CTR => E3: 8
* PRF # F1: 5 + E3: 8 # A3: 1,2 => SOL
* STA # F1: 5 + E3: 8 + A3: 1,2
* CNT   4 HDP CHAINS /   5 HYP OPENED