Analysis of xx-ph-01270059-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..9...8...5..8...59...6.7...4.9.3...........45...9.6.2..1....4......2.. initial

Autosolve

position: 98.76.5..7..9...8...5..8...59...6.7...4.9.3...........45...9.6.2..1....4...6..2.. 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: 0:00:00.000009

List of important HDP chains detected for D7,E7: 2..:

* DIS # D7: 2 # E3: 3,4 => CTR => E3: 1,2
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for D5,D6: 5..:

* DIS # D5: 5 # I5: 1,2 => CTR => I5: 6,8
* CNT   1 HDP CHAINS /  35 HYP OPENED

List of important HDP chains detected for F1,H1: 4..:

* PRF # F1: 4 # H3: 2,3 => SOL
* STA # F1: 4 + H3: 2,3
* CNT   1 HDP CHAINS /   6 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..9...8...5..8...59...6.7...4.9.3...........45...9.6.2..1....4......2.. initial
98.76.5..7..9...8...5..8...59...6.7...4.9.3...........45...9.6.2..1....4...6..2.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D7,E7: 2.. / D7 = 2  =>  2 pairs (_) / E7 = 2  =>  1 pairs (_)
B2,B3: 4.. / B2 = 4  =>  1 pairs (_) / B3 = 4  =>  1 pairs (_)
E9,F9: 4.. / E9 = 4  =>  0 pairs (_) / F9 = 4  =>  1 pairs (_)
F1,H1: 4.. / F1 = 4  =>  1 pairs (_) / H1 = 4  =>  1 pairs (_)
E2,F2: 5.. / E2 = 5  =>  0 pairs (_) / F2 = 5  =>  1 pairs (_)
D5,D6: 5.. / D5 = 5  =>  1 pairs (_) / D6 = 5  =>  1 pairs (_)
B8,C8: 6.. / B8 = 6  =>  0 pairs (_) / C8 = 6  =>  1 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
B5,F5: 7.. / B5 = 7  =>  3 pairs (_) / F5 = 7  =>  1 pairs (_)
C8,C9: 9.. / C8 = 9  =>  2 pairs (_) / C9 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.571632  START: 01:36:11.741341  END: 01:36:19.312973 2020-10-05
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B5,F5: 7.. / B5 = 7 ==>  3 pairs (_) / F5 = 7 ==>  1 pairs (_)
D7,E7: 2.. / D7 = 2 ==>  3 pairs (_) / E7 = 2 ==>  1 pairs (_)
C8,C9: 9.. / C8 = 9 ==>  2 pairs (_) / C9 = 9 ==>  0 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  2 pairs (_) / I3 = 7 ==>  0 pairs (_)
D5,D6: 5.. / D5 = 5 ==>  2 pairs (_) / D6 = 5 ==>  1 pairs (_)
F1,H1: 4.. / F1 = 4 ==>  0 pairs (*) / H1 = 4  =>  0 pairs (X)
* DURATION: 0:01:14.940504  START: 01:36:19.314040  END: 01:37:34.254544 2020-10-05
* REASONING D7,E7: 2..
* DIS # D7: 2 # E3: 3,4 => CTR => E3: 1,2
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING D5,D6: 5..
* DIS # D5: 5 # I5: 1,2 => CTR => I5: 6,8
* CNT   1 HDP CHAINS /  35 HYP OPENED
* REASONING F1,H1: 4..
* PRF # F1: 4 # H3: 2,3 => SOL
* STA # F1: 4 + H3: 2,3
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

1270059;13_12;GP;25;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B5,F5: 7..:

* INC # B5: 7 # E4: 1,2 => UNS
* INC # B5: 7 # E6: 1,2 => UNS
* INC # B5: 7 # F6: 1,2 => UNS
* INC # B5: 7 # H5: 1,2 => UNS
* INC # B5: 7 # I5: 1,2 => UNS
* INC # B5: 7 # F1: 1,2 => UNS
* INC # B5: 7 # F2: 1,2 => UNS
* INC # B5: 7 # C8: 3,6 => UNS
* INC # B5: 7 # C8: 7,8,9 => UNS
* INC # B5: 7 # B2: 3,6 => UNS
* INC # B5: 7 # B3: 3,6 => UNS
* INC # B5: 7 # B6: 3,6 => UNS
* INC # B5: 7 # C7: 1,3 => UNS
* INC # B5: 7 # A9: 1,3 => UNS
* INC # B5: 7 # C9: 1,3 => UNS
* INC # B5: 7 # H9: 1,3 => UNS
* INC # B5: 7 # I9: 1,3 => UNS
* INC # B5: 7 # B2: 1,3 => UNS
* INC # B5: 7 # B3: 1,3 => UNS
* INC # B5: 7 # B6: 1,3 => UNS
* INC # B5: 7 => UNS
* INC # F5: 7 # E8: 3,5 => UNS
* INC # F5: 7 # E9: 3,5 => UNS
* INC # F5: 7 # F9: 3,5 => UNS
* INC # F5: 7 # H8: 3,5 => UNS
* INC # F5: 7 # H8: 9 => UNS
* INC # F5: 7 # F2: 3,5 => UNS
* INC # F5: 7 # F2: 1,2,4 => UNS
* INC # F5: 7 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for D7,E7: 2..:

* INC # D7: 2 # F1: 3,4 => UNS
* INC # D7: 2 # E2: 3,4 => UNS
* INC # D7: 2 # F2: 3,4 => UNS
* DIS # D7: 2 # E3: 3,4 => CTR => E3: 1,2
* INC # D7: 2 + E3: 1,2 # B3: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # H3: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D4: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # F1: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # E2: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # F2: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # B3: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # H3: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D4: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 5,8 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # I5: 5,8 => UNS
* INC # D7: 2 + E3: 1,2 # I5: 1,2,6 => UNS
* INC # D7: 2 + E3: 1,2 # F1: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # E2: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # F2: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # B3: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # H3: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D4: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # F1: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # E2: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # F2: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # B3: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # H3: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # I3: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # E4: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # E6: 1,2 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 5,8 => UNS
* INC # D7: 2 + E3: 1,2 # D6: 3,4 => UNS
* INC # D7: 2 + E3: 1,2 # I5: 5,8 => UNS
* INC # D7: 2 + E3: 1,2 # I5: 1,2,6 => UNS
* INC # D7: 2 + E3: 1,2 => UNS
* INC # E7: 2 # E8: 3,8 => UNS
* INC # E7: 2 # E9: 3,8 => UNS
* INC # E7: 2 # C7: 3,8 => UNS
* INC # E7: 2 # I7: 3,8 => UNS
* INC # E7: 2 # D4: 3,8 => UNS
* INC # E7: 2 # D6: 3,8 => UNS
* INC # E7: 2 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for C8,C9: 9..:

* INC # C8: 9 # G7: 7,8 => UNS
* INC # C8: 9 # I7: 7,8 => UNS
* INC # C8: 9 # I9: 7,8 => UNS
* INC # C8: 9 # E8: 7,8 => UNS
* INC # C8: 9 # E8: 3,5 => UNS
* INC # C8: 9 # H9: 3,5 => UNS
* INC # C8: 9 # I9: 3,5 => UNS
* INC # C8: 9 # E8: 3,5 => UNS
* INC # C8: 9 # F8: 3,5 => UNS
* INC # C8: 9 => UNS
* INC # C9: 9 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

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

* INC # G3: 7 # I7: 1,8 => UNS
* INC # G3: 7 # I9: 1,8 => UNS
* INC # G3: 7 # C7: 1,8 => UNS
* INC # G3: 7 # C7: 3,7 => UNS
* INC # G3: 7 # G4: 1,8 => UNS
* INC # G3: 7 # G6: 1,8 => UNS
* INC # G3: 7 # I9: 8,9 => UNS
* INC # G3: 7 # I9: 1,3,5,7 => UNS
* INC # G3: 7 # C8: 8,9 => UNS
* INC # G3: 7 # C8: 3,6,7 => UNS
* INC # G3: 7 # G6: 8,9 => UNS
* INC # G3: 7 # G6: 1,4,6 => UNS
* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for D5,D6: 5..:

* INC # D5: 5 # I4: 1,2 => UNS
* DIS # D5: 5 # I5: 1,2 => CTR => I5: 6,8
* INC # D5: 5 + I5: 6,8 # H6: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # I6: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # B5: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # F5: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H1: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H3: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # I4: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H6: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # I6: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # B5: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # F5: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H1: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H3: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # I4: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H6: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # I6: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # B5: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # F5: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H1: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # H3: 1,2 => UNS
* INC # D5: 5 + I5: 6,8 # G6: 6,8 => UNS
* INC # D5: 5 + I5: 6,8 # I6: 6,8 => UNS
* INC # D5: 5 + I5: 6,8 # A5: 6,8 => UNS
* INC # D5: 5 + I5: 6,8 # A5: 1 => UNS
* INC # D5: 5 + I5: 6,8 => UNS
* INC # D6: 5 # D4: 2,8 => UNS
* INC # D6: 5 # E4: 2,8 => UNS
* INC # D6: 5 # E6: 2,8 => UNS
* INC # D6: 5 # I5: 2,8 => UNS
* INC # D6: 5 # I5: 1,5,6 => UNS
* INC # D6: 5 # D7: 2,8 => UNS
* INC # D6: 5 # D7: 3 => UNS
* INC # D6: 5 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for F1,H1: 4..:

* INC # F1: 4 # E2: 2,3 => UNS
* INC # F1: 4 # F2: 2,3 => UNS
* INC # F1: 4 # E3: 2,3 => UNS
* INC # F1: 4 # B3: 2,3 => UNS
* PRF # F1: 4 # H3: 2,3 => SOL
* STA # F1: 4 + H3: 2,3
* CNT   5 HDP CHAINS /   6 HYP OPENED