Analysis of xx-ph-00038598-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6..85......4..3...7.....9....2....4....96.5...5..8.7.......1..........23 initial

Autosolve

position: 98.7.....6..85......4..3...7.....9...92....4....96.5...5..8.7.......1..........23 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

Time used: 0:00:00.000006

List of important HDP chains detected for C1,C4: 5..:

* DIS # C1: 5 # B3: 1,2 => CTR => B3: 7
* PRF # C1: 5 + B3: 7 # G3: 1,2 => SOL
* STA # C1: 5 + B3: 7 + G3: 1,2
* CNT   2 HDP CHAINS /   8 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..85......4..3...7.....9....2....4....96.5...5..8.7.......1..........23 initial
98.7.....6..85......4..3...7.....9...92....4....96.5...5..8.7.......1..........23 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I4,I6: 2.. / I4 = 2  =>  4 pairs (_) / I6 = 2  =>  1 pairs (_)
F6,I6: 2.. / F6 = 2  =>  4 pairs (_) / I6 = 2  =>  1 pairs (_)
C1,A3: 5.. / C1 = 5  =>  3 pairs (_) / A3 = 5  =>  1 pairs (_)
C4,A5: 5.. / C4 = 5  =>  1 pairs (_) / A5 = 5  =>  3 pairs (_)
D9,F9: 5.. / D9 = 5  =>  1 pairs (_) / F9 = 5  =>  3 pairs (_)
H8,I8: 5.. / H8 = 5  =>  0 pairs (_) / I8 = 5  =>  0 pairs (_)
A3,A5: 5.. / A3 = 5  =>  1 pairs (_) / A5 = 5  =>  3 pairs (_)
C1,C4: 5.. / C1 = 5  =>  3 pairs (_) / C4 = 5  =>  1 pairs (_)
F1,D3: 6.. / F1 = 6  =>  1 pairs (_) / D3 = 6  =>  3 pairs (_)
B4,C4: 6.. / B4 = 6  =>  0 pairs (_) / C4 = 6  =>  3 pairs (_)
G5,I5: 6.. / G5 = 6  =>  1 pairs (_) / I5 = 6  =>  0 pairs (_)
F2,E3: 9.. / F2 = 9  =>  1 pairs (_) / E3 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.891282  START: 13:56:25.679317  END: 13:56:33.570599 2020-12-17
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F6,I6: 2.. / F6 = 2 ==>  4 pairs (_) / I6 = 2 ==>  1 pairs (_)
I4,I6: 2.. / I4 = 2 ==>  4 pairs (_) / I6 = 2 ==>  1 pairs (_)
F1,D3: 6.. / F1 = 6 ==>  1 pairs (_) / D3 = 6 ==>  3 pairs (_)
C1,C4: 5.. / C1 = 5 ==>  0 pairs (*) / C4 = 5  =>  0 pairs (X)
* DURATION: 0:00:41.644229  START: 13:56:33.571194  END: 13:57:15.215423 2020-12-17
* REASONING C1,C4: 5..
* DIS # C1: 5 # B3: 1,2 => CTR => B3: 7
* PRF # C1: 5 + B3: 7 # G3: 1,2 => SOL
* STA # C1: 5 + B3: 7 + G3: 1,2
* CNT   2 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

38598;12_07;GP;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F6,I6: 2..:

* INC # F6: 2 # G1: 4,6 => UNS
* INC # F6: 2 # I1: 4,6 => UNS
* INC # F6: 2 # F7: 4,6 => UNS
* INC # F6: 2 # F7: 9 => UNS
* INC # F6: 2 # I2: 4,9 => UNS
* INC # F6: 2 # I2: 1,7 => UNS
* INC # F6: 2 # F7: 4,9 => UNS
* INC # F6: 2 # F7: 6 => UNS
* INC # F6: 2 # F5: 5,8 => UNS
* INC # F6: 2 # F5: 7 => UNS
* INC # F6: 2 # C4: 5,8 => UNS
* INC # F6: 2 # C4: 1,3,6 => UNS
* INC # F6: 2 # F5: 5,7 => UNS
* INC # F6: 2 # F5: 8 => UNS
* INC # F6: 2 => UNS
* INC # I6: 2 # H4: 1,8 => UNS
* INC # I6: 2 # G5: 1,8 => UNS
* INC # I6: 2 # I5: 1,8 => UNS
* INC # I6: 2 # H6: 1,8 => UNS
* INC # I6: 2 # C4: 1,8 => UNS
* INC # I6: 2 # C4: 3,5,6 => UNS
* INC # I6: 2 # I3: 1,8 => UNS
* INC # I6: 2 # I3: 5,6,7,9 => UNS
* INC # I6: 2 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for I4,I6: 2..:

* INC # I4: 2 # G1: 4,6 => UNS
* INC # I4: 2 # I1: 4,6 => UNS
* INC # I4: 2 # F7: 4,6 => UNS
* INC # I4: 2 # F7: 9 => UNS
* INC # I4: 2 # I2: 4,9 => UNS
* INC # I4: 2 # I2: 1,7 => UNS
* INC # I4: 2 # F7: 4,9 => UNS
* INC # I4: 2 # F7: 6 => UNS
* INC # I4: 2 # F5: 5,8 => UNS
* INC # I4: 2 # F5: 7 => UNS
* INC # I4: 2 # C4: 5,8 => UNS
* INC # I4: 2 # C4: 1,3,6 => UNS
* INC # I4: 2 # F5: 5,7 => UNS
* INC # I4: 2 # F5: 8 => UNS
* INC # I4: 2 => UNS
* INC # I6: 2 # H4: 1,8 => UNS
* INC # I6: 2 # G5: 1,8 => UNS
* INC # I6: 2 # I5: 1,8 => UNS
* INC # I6: 2 # H6: 1,8 => UNS
* INC # I6: 2 # C4: 1,8 => UNS
* INC # I6: 2 # C4: 3,5,6 => UNS
* INC # I6: 2 # I3: 1,8 => UNS
* INC # I6: 2 # I3: 5,6,7,9 => UNS
* INC # I6: 2 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for F1,D3: 6..:

* INC # D3: 6 # E1: 2,4 => UNS
* INC # D3: 6 # F2: 2,4 => UNS
* INC # D3: 6 # G1: 2,4 => UNS
* INC # D3: 6 # G1: 1,3,6 => UNS
* INC # D3: 6 # F4: 2,4 => UNS
* INC # D3: 6 # F6: 2,4 => UNS
* INC # D3: 6 # F7: 2,4 => UNS
* INC # D3: 6 # E8: 3,7 => UNS
* INC # D3: 6 # E8: 2,4,9 => UNS
* INC # D3: 6 # F9: 4,5 => UNS
* INC # D3: 6 # F9: 6,7,9 => UNS
* INC # D3: 6 # D4: 4,5 => UNS
* INC # D3: 6 # D4: 1,2,3 => UNS
* INC # D3: 6 => UNS
* INC # F1: 6 # E1: 1,2 => UNS
* INC # F1: 6 # E3: 1,2 => UNS
* INC # F1: 6 # A3: 1,2 => UNS
* INC # F1: 6 # B3: 1,2 => UNS
* INC # F1: 6 # G3: 1,2 => UNS
* INC # F1: 6 # D4: 1,2 => UNS
* INC # F1: 6 # D4: 3,4,5 => UNS
* INC # F1: 6 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for C1,C4: 5..:

* INC # C1: 5 # B2: 1,2 => UNS
* DIS # C1: 5 # B3: 1,2 => CTR => B3: 7
* INC # C1: 5 + B3: 7 # B2: 1,2 => UNS
* INC # C1: 5 + B3: 7 # B2: 3 => UNS
* INC # C1: 5 + B3: 7 # D3: 1,2 => UNS
* INC # C1: 5 + B3: 7 # E3: 1,2 => UNS
* PRF # C1: 5 + B3: 7 # G3: 1,2 => SOL
* STA # C1: 5 + B3: 7 + G3: 1,2
* CNT   7 HDP CHAINS /   8 HYP OPENED