Analysis of xx-ph-00018770-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...5.9....4....3.5..9....6.7..8......9..2.4...1...4.....29..1......1..3 initial

Autosolve

position: 98.7.....6...5.9....4..9.3.5..9....6.7..8......9..2.4...1...4.....29..1......1..3 autosolve
Autosolve

Pair Reduction Variants

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 C1,B3: 5..:

* PRF # C1: 5 # A3: 1,2 => SOL
* STA # C1: 5 + A3: 1,2
* 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....3.5..9....6.7..8......9..2.4...1...4.....29..1......1..3 initial
98.7.....6...5.9....4..9.3.5..9....6.7..8......9..2.4...1...4.....29..1......1..3 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,E3: 2.. / E1 = 2  =>  3 pairs (_) / E3 = 2  =>  2 pairs (_)
I1,I2: 4.. / I1 = 4  =>  1 pairs (_) / I2 = 4  =>  1 pairs (_)
B4,A5: 4.. / B4 = 4  =>  1 pairs (_) / A5 = 4  =>  0 pairs (_)
C1,B3: 5.. / C1 = 5  =>  3 pairs (_) / B3 = 5  =>  1 pairs (_)
C5,B6: 6.. / C5 = 6  =>  1 pairs (_) / B6 = 6  =>  1 pairs (_)
C2,A3: 7.. / C2 = 7  =>  2 pairs (_) / A3 = 7  =>  2 pairs (_)
C4,A6: 8.. / C4 = 8  =>  2 pairs (_) / A6 = 8  =>  1 pairs (_)
H5,I5: 9.. / H5 = 9  =>  0 pairs (_) / I5 = 9  =>  1 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  0 pairs (_)
B9,H9: 9.. / B9 = 9  =>  0 pairs (_) / H9 = 9  =>  1 pairs (_)
I5,I7: 9.. / I5 = 9  =>  1 pairs (_) / I7 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.439917  START: 05:57:41.690761  END: 05:57:49.130678 2020-12-06
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E1,E3: 2.. / E1 = 2 ==>  3 pairs (_) / E3 = 2 ==>  2 pairs (_)
C1,B3: 5.. / C1 = 5 ==>  0 pairs (*) / B3 = 5  =>  0 pairs (X)
* DURATION: 0:00:17.044313  START: 05:57:49.131343  END: 05:58:06.175656 2020-12-06
* REASONING C1,B3: 5..
* PRF # C1: 5 # A3: 1,2 => SOL
* STA # C1: 5 + A3: 1,2
* CNT   1 HDP CHAINS /   3 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

18770;KZ1C;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E1,E3: 2..:

* INC # E1: 2 # C8: 3,5 => UNS
* INC # E1: 2 # C8: 6,7,8 => UNS
* INC # E1: 2 # D3: 1,6 => UNS
* INC # E1: 2 # D3: 8 => UNS
* INC # E1: 2 # E6: 1,6 => UNS
* INC # E1: 2 # E6: 3,7 => UNS
* INC # E1: 2 # G1: 5,6 => UNS
* INC # E1: 2 # G3: 5,6 => UNS
* INC # E1: 2 # H7: 5,6 => UNS
* INC # E1: 2 # H9: 5,6 => UNS
* INC # E1: 2 => UNS
* INC # E3: 2 # G3: 1,7 => UNS
* INC # E3: 2 # I3: 1,7 => UNS
* INC # E3: 2 # G3: 1,5 => UNS
* INC # E3: 2 # I3: 1,5 => UNS
* INC # E3: 2 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for C1,B3: 5..:

* INC # C1: 5 # B2: 1,2 => UNS
* PRF # C1: 5 # A3: 1,2 => SOL
* STA # C1: 5 + A3: 1,2
* CNT   2 HDP CHAINS /   3 HYP OPENED