Analysis of xx-ph-00930957-13_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.5.6......4......87..9.3.....8.3........7.8239...67...5......1..79..... initial

Autosolve

position: 98.7..6..7.5.6......4......87..9.3.....8.3........7.8239...67...5..7...1..79..... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for D8,H8: 3..:

* DIS # H8: 3 # I4: 4,5 => CTR => I4: 6
* DIS # H8: 3 + I4: 6 # I9: 4,5 => CTR => I9: 8
* DIS # H8: 3 + I4: 6 + I9: 8 # F9: 2,4 => CTR => F9: 1,5
* DIS # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # B3: 1,2 => CTR => B3: 6
* PRF # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # D7: 2,4 => SOL
* STA # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 + D7: 2,4
* CNT   5 HDP CHAINS /  74 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..7.5.6......4......87..9.3.....8.3........7.8239...67...5......1..79..... initial
98.7..6..7.5.6......4......87..9.3.....8.3........7.8239...67...5..7...1..79..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B6,C6: 3.. / B6 = 3  =>  2 pairs (_) / C6 = 3  =>  3 pairs (_)
D8,E9: 3.. / D8 = 3  =>  0 pairs (_) / E9 = 3  =>  7 pairs (_)
D8,H8: 3.. / D8 = 3  =>  0 pairs (_) / H8 = 3  =>  7 pairs (_)
C1,C6: 3.. / C1 = 3  =>  2 pairs (_) / C6 = 3  =>  3 pairs (_)
A5,A6: 5.. / A5 = 5  =>  0 pairs (_) / A6 = 5  =>  1 pairs (_)
A3,B3: 6.. / A3 = 6  =>  1 pairs (_) / B3 = 6  =>  1 pairs (_)
D4,D6: 6.. / D4 = 6  =>  6 pairs (_) / D6 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
H5,I5: 7.. / H5 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
H3,H5: 7.. / H3 = 7  =>  0 pairs (_) / H5 = 7  =>  0 pairs (_)
I3,I5: 7.. / I3 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
C7,C8: 8.. / C7 = 8  =>  2 pairs (_) / C8 = 8  =>  2 pairs (_)
F2,F3: 9.. / F2 = 9  =>  2 pairs (_) / F3 = 9  =>  0 pairs (_)
C5,C6: 9.. / C5 = 9  =>  2 pairs (_) / C6 = 9  =>  2 pairs (_)
G8,H8: 9.. / G8 = 9  =>  5 pairs (_) / H8 = 9  =>  2 pairs (_)
C6,G6: 9.. / C6 = 9  =>  2 pairs (_) / G6 = 9  =>  2 pairs (_)
* DURATION: 0:00:10.626933  START: 21:19:52.944903  END: 21:20:03.571836 2021-01-02
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D8,H8: 3.. / D8 = 3  =>  0 pairs (X) / H8 = 3 ==>  0 pairs (*)
* DURATION: 0:00:56.239819  START: 21:20:03.572392  END: 21:20:59.812211 2021-01-02
* REASONING D8,H8: 3..
* DIS # H8: 3 # I4: 4,5 => CTR => I4: 6
* DIS # H8: 3 + I4: 6 # I9: 4,5 => CTR => I9: 8
* DIS # H8: 3 + I4: 6 + I9: 8 # F9: 2,4 => CTR => F9: 1,5
* DIS # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # B3: 1,2 => CTR => B3: 6
* PRF # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # D7: 2,4 => SOL
* STA # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 + D7: 2,4
* CNT   5 HDP CHAINS /  74 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

930957;13_05;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D8,H8: 3..:

* INC # H8: 3 # A3: 1,2 => UNS
* INC # H8: 3 # B3: 1,2 => UNS
* INC # H8: 3 # D2: 1,2 => UNS
* INC # H8: 3 # F2: 1,2 => UNS
* INC # H8: 3 # G2: 1,2 => UNS
* INC # H8: 3 # H2: 1,2 => UNS
* INC # H8: 3 # B5: 1,2 => UNS
* INC # H8: 3 # B9: 1,2 => UNS
* INC # H8: 3 # H1: 4,5 => UNS
* INC # H8: 3 # H1: 1,2 => UNS
* INC # H8: 3 # E1: 4,5 => UNS
* INC # H8: 3 # F1: 4,5 => UNS
* DIS # H8: 3 # I4: 4,5 => CTR => I4: 6
* INC # H8: 3 + I4: 6 # I7: 4,5 => UNS
* DIS # H8: 3 + I4: 6 # I9: 4,5 => CTR => I9: 8
* INC # H8: 3 + I4: 6 + I9: 8 # H1: 4,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # H1: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # E1: 4,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # F1: 4,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # I3: 3,9 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # I3: 7 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # A5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # B5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # C5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # D4: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # F4: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # C7: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # C7: 8 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # H3: 7,9 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # H3: 1,2,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # I3: 7,9 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # I3: 3 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # D7: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # E7: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 # F8: 2,4 => UNS
* DIS # H8: 3 + I4: 6 + I9: 8 # F9: 2,4 => CTR => F9: 1,5
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # A8: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # A8: 6 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # D2: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # D4: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # D7: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # E7: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # F8: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # A8: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # A8: 6 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # D2: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # D4: 2,4 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # A3: 1,2 => UNS
* DIS # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 # B3: 1,2 => CTR => B3: 6
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # D2: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # F2: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # G2: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # H2: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # B5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # B9: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # H1: 4,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # H1: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # E1: 4,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # F1: 4,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # I3: 3,9 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # I3: 7 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # A5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # B5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # C5: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # D4: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # F4: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # C7: 1,2 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # C7: 8 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # H3: 7,9 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # H3: 1,2,5 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # I3: 7,9 => UNS
* INC # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # I3: 3 => UNS
* PRF # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 # D7: 2,4 => SOL
* STA # H8: 3 + I4: 6 + I9: 8 + F9: 1,5 + B3: 6 + D7: 2,4
* CNT  73 HDP CHAINS /  74 HYP OPENED