Analysis of xx-ph-00000940-H48-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .......39...7...6...3.6...5..5.9...3.7...2...1..4.......6.8..9..2...1...4.....8.. initial

Autosolve

position: .......39...7...6...3.6...5..5.9...3.7...2...1..4.......6.8..9..2...1...4.....8.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for G7,G8: 3..:

* DIS # G7: 3 # A8: 5,7 => CTR => A8: 3,8,9
* DIS # G7: 3 + A8: 3,8,9 # B9: 1,5 => CTR => B9: 3,9
* PRF # G7: 3 + A8: 3,8,9 + B9: 3,9 # A8: 8 => SOL
* STA # G7: 3 + A8: 3,8,9 + B9: 3,9 + A8: 8
* CNT   3 HDP CHAINS /  15 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

.......39...7...6...3.6...5..5.9...3.7...2...1..4.......6.8..9..2...1...4.....8.. initial
.......39...7...6...3.6...5..5.9...3.7...2...1..4.......6.8..9..2...1...4.....8.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A4,C6: 2.. / A4 = 2  =>  1 pairs (_) / C6 = 2  =>  1 pairs (_)
E2,F2: 3.. / E2 = 3  =>  2 pairs (_) / F2 = 3  =>  0 pairs (_)
A5,B6: 3.. / A5 = 3  =>  2 pairs (_) / B6 = 3  =>  3 pairs (_)
G7,G8: 3.. / G7 = 3  =>  3 pairs (_) / G8 = 3  =>  0 pairs (_)
B4,C5: 4.. / B4 = 4  =>  1 pairs (_) / C5 = 4  =>  1 pairs (_)
F7,E8: 4.. / F7 = 4  =>  2 pairs (_) / E8 = 4  =>  2 pairs (_)
A1,B1: 6.. / A1 = 6  =>  1 pairs (_) / B1 = 6  =>  1 pairs (_)
I2,H3: 8.. / I2 = 8  =>  0 pairs (_) / H3 = 8  =>  1 pairs (_)
A8,C8: 8.. / A8 = 8  =>  2 pairs (_) / C8 = 8  =>  2 pairs (_)
G5,G6: 9.. / G5 = 9  =>  1 pairs (_) / G6 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.712893  START: 10:29:56.060016  END: 10:30:02.772909 2020-11-23
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A5,B6: 3.. / A5 = 3 ==>  2 pairs (_) / B6 = 3 ==>  3 pairs (_)
G7,G8: 3.. / G7 = 3 ==>  0 pairs (*) / G8 = 3  =>  0 pairs (X)
* DURATION: 0:00:31.771863  START: 10:30:02.773731  END: 10:30:34.545594 2020-11-23
* REASONING G7,G8: 3..
* DIS # G7: 3 # A8: 5,7 => CTR => A8: 3,8,9
* DIS # G7: 3 + A8: 3,8,9 # B9: 1,5 => CTR => B9: 3,9
* PRF # G7: 3 + A8: 3,8,9 + B9: 3,9 # A8: 8 => SOL
* STA # G7: 3 + A8: 3,8,9 + B9: 3,9 + A8: 8
* CNT   3 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

940;H48;col;21;11.30;11.30;7.80

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A5,B6: 3..:

* INC # B6: 3 # F6: 5,7 => UNS
* INC # B6: 3 # F6: 6,8 => UNS
* INC # B6: 3 # G6: 5,7 => UNS
* INC # B6: 3 # H6: 5,7 => UNS
* INC # B6: 3 # E8: 5,7 => UNS
* INC # B6: 3 # E9: 5,7 => UNS
* INC # B6: 3 # B9: 1,5 => UNS
* INC # B6: 3 # B9: 9 => UNS
* INC # B6: 3 # G7: 1,5 => UNS
* INC # B6: 3 # G7: 2,3,4,7 => UNS
* INC # B6: 3 # B1: 1,5 => UNS
* INC # B6: 3 # B2: 1,5 => UNS
* INC # B6: 3 # D9: 2,5 => UNS
* INC # B6: 3 # E9: 2,5 => UNS
* INC # B6: 3 # G7: 2,5 => UNS
* INC # B6: 3 # G7: 1,3,4,7 => UNS
* INC # B6: 3 # D1: 2,5 => UNS
* INC # B6: 3 # D1: 1,8 => UNS
* INC # B6: 3 => UNS
* INC # A5: 3 # D5: 1,5 => UNS
* INC # A5: 3 # D5: 6,8 => UNS
* INC # A5: 3 # G5: 1,5 => UNS
* INC # A5: 3 # H5: 1,5 => UNS
* INC # A5: 3 # E1: 1,5 => UNS
* INC # A5: 3 # E2: 1,5 => UNS
* INC # A5: 3 # A8: 5,7 => UNS
* INC # A5: 3 # A8: 8,9 => UNS
* INC # A5: 3 # F7: 5,7 => UNS
* INC # A5: 3 # G7: 5,7 => UNS
* INC # A5: 3 # A1: 5,7 => UNS
* INC # A5: 3 # A1: 2,6,8 => UNS
* INC # A5: 3 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for G7,G8: 3..:

* DIS # G7: 3 # A8: 5,7 => CTR => A8: 3,8,9
* INC # G7: 3 + A8: 3,8,9 # F7: 5,7 => UNS
* INC # G7: 3 + A8: 3,8,9 # F7: 4 => UNS
* INC # G7: 3 + A8: 3,8,9 # A1: 5,7 => UNS
* INC # G7: 3 + A8: 3,8,9 # A1: 2,6,8 => UNS
* DIS # G7: 3 + A8: 3,8,9 # B9: 1,5 => CTR => B9: 3,9
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # B1: 1,5 => UNS
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # B2: 1,5 => UNS
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # A1: 5,7 => UNS
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # A1: 2,6,8 => UNS
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # B1: 1,5 => UNS
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # B2: 1,5 => UNS
* INC # G7: 3 + A8: 3,8,9 + B9: 3,9 # A8: 3,9 => UNS
* PRF # G7: 3 + A8: 3,8,9 + B9: 3,9 # A8: 8 => SOL
* STA # G7: 3 + A8: 3,8,9 + B9: 3,9 + A8: 8
* CNT  14 HDP CHAINS /  15 HYP OPENED