Analysis of xx-ph-00000427-H17-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ..3.....5.9.4...6.1.....7...4...8.......46.2....2....95.....1...6.8...9...7.3.... initial

Autosolve

position: ..3...9.5.9.4...6.1.....7...4...8.......46.2....2....95.....1...6.8...9...7.3.... autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.161680

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for G6,H6: 4..:

* DIS # H6: 4 # B5: 3,8 => CTR => B5: 1,5,7
* DIS # H6: 4 + B5: 1,5,7 # B6: 3,8 => CTR => B6: 1,5,7
* DIS # H6: 4 + B5: 1,5,7 + B6: 1,5,7 # G9: 5,8 => CTR => G9: 2,4,6
* DIS # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 # E2: 7,8 => CTR => E2: 1,5
* PRF # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 # A6: 7,8 => SOL
* STA # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 + A6: 7,8
* CNT   5 HDP CHAINS /  31 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

..3.....5.9.4...6.1.....7...4...8.......46.2....2....95.....1...6.8...9...7.3.... initial
..3...9.5.9.4...6.1.....7...4...8.......46.2....2....95.....1...6.8...9...7.3.... autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
A1: 4,6
C3: 4,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,I2: 1.. / H1 = 1  =>  3 pairs (_) / I2 = 1  =>  3 pairs (_)
C8,B9: 1.. / C8 = 1  =>  3 pairs (_) / B9 = 1  =>  3 pairs (_)
A4,C4: 2.. / A4 = 2  =>  4 pairs (_) / C4 = 2  =>  4 pairs (_)
B7,A8: 3.. / B7 = 3  =>  3 pairs (_) / A8 = 3  =>  3 pairs (_)
A1,C3: 4.. / A1 = 4  =>  2 pairs (_) / C3 = 4  =>  4 pairs (_)
G6,H6: 4.. / G6 = 4  =>  2 pairs (_) / H6 = 4  =>  8 pairs (_)
A1,H1: 4.. / A1 = 4  =>  2 pairs (_) / H1 = 4  =>  4 pairs (_)
C2,B3: 5.. / C2 = 5  =>  3 pairs (_) / B3 = 5  =>  3 pairs (_)
A1,C3: 6.. / A1 = 6  =>  4 pairs (_) / C3 = 6  =>  2 pairs (_)
B1,A2: 7.. / B1 = 7  =>  5 pairs (_) / A2 = 7  =>  3 pairs (_)
C7,A9: 9.. / C7 = 9  =>  3 pairs (_) / A9 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.320425  START: 15:43:16.263267  END: 15:43:23.583692 2020-10-25
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G6,H6: 4.. / G6 = 4  =>  0 pairs (X) / H6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:25.041590  START: 15:43:24.270570  END: 15:43:49.312160 2020-10-25
* REASONING G6,H6: 4..
* DIS # H6: 4 # B5: 3,8 => CTR => B5: 1,5,7
* DIS # H6: 4 + B5: 1,5,7 # B6: 3,8 => CTR => B6: 1,5,7
* DIS # H6: 4 + B5: 1,5,7 + B6: 1,5,7 # G9: 5,8 => CTR => G9: 2,4,6
* DIS # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 # E2: 7,8 => CTR => E2: 1,5
* PRF # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 # A6: 7,8 => SOL
* STA # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 + A6: 7,8
* CNT   5 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

427;H17;col;21;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G6,H6: 4..:

* INC # H6: 4 # B1: 7,8 => UNS
* INC # H6: 4 # B1: 2 => UNS
* INC # H6: 4 # E2: 7,8 => UNS
* INC # H6: 4 # E2: 1,5 => UNS
* INC # H6: 4 # A5: 7,8 => UNS
* INC # H6: 4 # A6: 7,8 => UNS
* INC # H6: 4 # B3: 5,8 => UNS
* INC # H6: 4 # B3: 2 => UNS
* INC # H6: 4 # E2: 5,8 => UNS
* INC # H6: 4 # E2: 1,7 => UNS
* INC # H6: 4 # C5: 5,8 => UNS
* INC # H6: 4 # C6: 5,8 => UNS
* INC # H6: 4 # I2: 1,8 => UNS
* INC # H6: 4 # I2: 2,3 => UNS
* INC # H6: 4 # E1: 1,8 => UNS
* INC # H6: 4 # E1: 2,6,7 => UNS
* INC # H6: 4 # G2: 3,8 => UNS
* INC # H6: 4 # I2: 3,8 => UNS
* INC # H6: 4 # H7: 3,8 => UNS
* INC # H6: 4 # H7: 7 => UNS
* INC # H6: 4 # H7: 3,8 => UNS
* INC # H6: 4 # I7: 3,8 => UNS
* DIS # H6: 4 # B5: 3,8 => CTR => B5: 1,5,7
* DIS # H6: 4 + B5: 1,5,7 # B6: 3,8 => CTR => B6: 1,5,7
* DIS # H6: 4 + B5: 1,5,7 + B6: 1,5,7 # G9: 5,8 => CTR => G9: 2,4,6
* INC # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 # B1: 7,8 => UNS
* INC # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 # B1: 2 => UNS
* DIS # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 # E2: 7,8 => CTR => E2: 1,5
* INC # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 # A5: 7,8 => UNS
* PRF # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 # A6: 7,8 => SOL
* STA # H6: 4 + B5: 1,5,7 + B6: 1,5,7 + G9: 2,4,6 + E2: 1,5 + A6: 7,8
* CNT  30 HDP CHAINS /  31 HYP OPENED