Analysis of xx-ph-01270030-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..8...6...6..5...86...43....958..7..........2..........845..9.......1.4 initial

Autosolve

position: 98.76.5..7..8...6...6..5...86...43....958..7..........2..........845..9.......1.4 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

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 C1,H1: 4..:

* DIS # C1: 4 # B2: 1,3 => CTR => B2: 2,5
* PRF # C1: 4 + B2: 2,5 # H3: 1,3 => SOL
* STA # C1: 4 + B2: 2,5 + H3: 1,3
* CNT   2 HDP CHAINS /   7 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..8...6...6..5...86...43....958..7..........2..........845..9.......1.4 initial
98.76.5..7..8...6...6..5...86...43....958..7..........2..........845..9.......1.4 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,E3: 4.. / E2 = 4  =>  1 pairs (_) / E3 = 4  =>  1 pairs (_)
B7,C7: 4.. / B7 = 4  =>  0 pairs (_) / C7 = 4  =>  1 pairs (_)
C1,H1: 4.. / C1 = 4  =>  1 pairs (_) / H1 = 4  =>  1 pairs (_)
B2,C2: 5.. / B2 = 5  =>  0 pairs (_) / C2 = 5  =>  1 pairs (_)
A6,A9: 5.. / A6 = 5  =>  1 pairs (_) / A9 = 5  =>  2 pairs (_)
A8,A9: 6.. / A8 = 6  =>  2 pairs (_) / A9 = 6  =>  1 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
C4,E4: 7.. / C4 = 7  =>  1 pairs (_) / E4 = 7  =>  0 pairs (_)
F7,F9: 8.. / F7 = 8  =>  4 pairs (_) / F9 = 8  =>  0 pairs (_)
F9,H9: 8.. / F9 = 8  =>  0 pairs (_) / H9 = 8  =>  4 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.552364  START: 01:02:56.123588  END: 01:03:03.675952 2020-10-05
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F9,H9: 8.. / F9 = 8 ==>  0 pairs (_) / H9 = 8 ==>  4 pairs (_)
F7,F9: 8.. / F7 = 8 ==>  4 pairs (_) / F9 = 8 ==>  0 pairs (_)
A8,A9: 6.. / A8 = 6 ==>  2 pairs (_) / A9 = 6 ==>  1 pairs (_)
A6,A9: 5.. / A6 = 5 ==>  1 pairs (_) / A9 = 5 ==>  2 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  2 pairs (_) / I3 = 7 ==>  0 pairs (_)
C1,H1: 4.. / C1 = 4 ==>  0 pairs (*) / H1 = 4  =>  0 pairs (X)
* DURATION: 0:00:43.708234  START: 01:03:03.676636  END: 01:03:47.384870 2020-10-05
* REASONING C1,H1: 4..
* DIS # C1: 4 # B2: 1,3 => CTR => B2: 2,5
* PRF # C1: 4 + B2: 2,5 # H3: 1,3 => SOL
* STA # C1: 4 + B2: 2,5 + H3: 1,3
* CNT   2 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

1270030;13_12;GP;25;11.50;11.50;10.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F9,H9: 8..:

* INC # H9: 8 # I7: 6,7 => UNS
* INC # H9: 8 # G8: 6,7 => UNS
* INC # H9: 8 # I8: 6,7 => UNS
* INC # H9: 8 # I7: 3,5 => UNS
* INC # H9: 8 # I7: 6,7 => UNS
* INC # H9: 8 => UNS
* INC # F9: 8 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for F7,F9: 8..:

* INC # F7: 8 # I7: 6,7 => UNS
* INC # F7: 8 # G8: 6,7 => UNS
* INC # F7: 8 # I8: 6,7 => UNS
* INC # F7: 8 # I7: 3,5 => UNS
* INC # F7: 8 # I7: 6,7 => UNS
* INC # F7: 8 => UNS
* INC # F9: 8 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for A8,A9: 6..:

* INC # A8: 6 # B7: 3,5 => UNS
* INC # A8: 6 # C7: 3,5 => UNS
* INC # A8: 6 # B9: 3,5 => UNS
* INC # A8: 6 # C9: 3,5 => UNS
* INC # A8: 6 # H9: 3,5 => UNS
* INC # A8: 6 # H9: 2,8 => UNS
* INC # A8: 6 # A6: 3,5 => UNS
* INC # A8: 6 # A6: 1,4 => UNS
* INC # A8: 6 # I8: 2,7 => UNS
* INC # A8: 6 # I8: 3 => UNS
* INC # A8: 6 # F8: 2,7 => UNS
* INC # A8: 6 # F8: 1,3 => UNS
* INC # A8: 6 # G3: 2,7 => UNS
* INC # A8: 6 # G3: 4,8,9 => UNS
* INC # A8: 6 => UNS
* INC # A9: 6 # B7: 1,3 => UNS
* INC # A9: 6 # C7: 1,3 => UNS
* INC # A9: 6 # B8: 1,3 => UNS
* INC # A9: 6 # F8: 1,3 => UNS
* INC # A9: 6 # F8: 2,6,7 => UNS
* INC # A9: 6 # A3: 1,3 => UNS
* INC # A9: 6 # A5: 1,3 => UNS
* INC # A9: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for A6,A9: 5..:

* INC # A9: 5 # B7: 3,7 => UNS
* INC # A9: 5 # C7: 3,7 => UNS
* INC # A9: 5 # B8: 3,7 => UNS
* INC # A9: 5 # B9: 3,7 => UNS
* INC # A9: 5 # E9: 3,7 => UNS
* INC # A9: 5 # F9: 3,7 => UNS
* INC # A9: 5 # C6: 3,7 => UNS
* INC # A9: 5 # C6: 1,2,4,5 => UNS
* INC # A9: 5 # I8: 2,7 => UNS
* INC # A9: 5 # I8: 3 => UNS
* INC # A9: 5 # F8: 2,7 => UNS
* INC # A9: 5 # F8: 1,3 => UNS
* INC # A9: 5 # G3: 2,7 => UNS
* INC # A9: 5 # G3: 4,8,9 => UNS
* INC # A9: 5 => UNS
* INC # A6: 5 # A8: 3,6 => UNS
* INC # A6: 5 # A8: 1 => UNS
* INC # A6: 5 # D9: 3,6 => UNS
* INC # A6: 5 # F9: 3,6 => UNS
* INC # A6: 5 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 # I7: 6,8 => UNS
* INC # G3: 7 # I7: 3,5,7 => UNS
* INC # G3: 7 # F7: 6,8 => UNS
* INC # G3: 7 # F7: 1,3,7,9 => UNS
* INC # G3: 7 # G6: 6,8 => UNS
* INC # G3: 7 # G6: 2,4,9 => UNS
* INC # G3: 7 # I8: 2,6 => UNS
* INC # G3: 7 # I8: 3,7 => UNS
* INC # G3: 7 # F8: 2,6 => UNS
* INC # G3: 7 # F8: 1,3,7 => UNS
* INC # G3: 7 # G5: 2,6 => UNS
* INC # G3: 7 # G6: 2,6 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for C1,H1: 4..:

* DIS # C1: 4 # B2: 1,3 => CTR => B2: 2,5
* INC # C1: 4 + B2: 2,5 # C2: 1,3 => UNS
* INC # C1: 4 + B2: 2,5 # B3: 1,3 => UNS
* INC # C1: 4 + B2: 2,5 # D3: 1,3 => UNS
* INC # C1: 4 + B2: 2,5 # E3: 1,3 => UNS
* PRF # C1: 4 + B2: 2,5 # H3: 1,3 => SOL
* STA # C1: 4 + B2: 2,5 + H3: 1,3
* CNT   6 HDP CHAINS /   7 HYP OPENED