Analysis of xx-ph-00023768-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....75....6....6.......4.....83..9.8.5.......2.1...7.9.8.....1...4......3..2 initial

Autosolve

position: 98.76....75....6....6.......4.....83..9.8.5.......2.1...7.9.8.....1...4......3..2 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 G4,H5: 2..:

* DIS # H5: 2 # G3: 3,9 => CTR => G3: 1,2,4,7
* DIS # H5: 2 + G3: 1,2,4,7 # G6: 7,9 => CTR => G6: 4
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 # G8: 7,9 => CTR => G8: 3
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 # G9: 1 => CTR => G9: 7,9
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # H3: 3,5 => CTR => H3: 7,9
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # E3: 1,2 => CTR => E3: 3,4,5
* PRF # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # F5: 6,7 => SOL
* STA # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 + F5: 6,7
* CNT   7 HDP CHAINS /  47 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....75....6....6.......4.....83..9.8.5.......2.1...7.9.8.....1...4......3..2 initial
98.76....75....6....6.......4.....83..9.8.5.......2.1...7.9.8.....1...4......3..2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
I7,G9: 1.. / I7 = 1  =>  2 pairs (_) / G9 = 1  =>  2 pairs (_)
G4,H5: 2.. / G4 = 2  =>  2 pairs (_) / H5 = 2  =>  4 pairs (_)
D7,E8: 2.. / D7 = 2  =>  1 pairs (_) / E8 = 2  =>  0 pairs (_)
H7,G8: 3.. / H7 = 3  =>  3 pairs (_) / G8 = 3  =>  1 pairs (_)
B5,B6: 7.. / B5 = 7  =>  3 pairs (_) / B6 = 7  =>  1 pairs (_)
I2,I3: 8.. / I2 = 8  =>  0 pairs (_) / I3 = 8  =>  0 pairs (_)
A6,C6: 8.. / A6 = 8  =>  1 pairs (_) / C6 = 8  =>  0 pairs (_)
F8,D9: 8.. / F8 = 8  =>  1 pairs (_) / D9 = 8  =>  0 pairs (_)
B8,B9: 9.. / B8 = 9  =>  2 pairs (_) / B9 = 9  =>  1 pairs (_)
* DURATION: 0:00:05.226688  START: 01:59:13.761147  END: 01:59:18.987835 2020-12-08
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,H5: 2.. / G4 = 2  =>  0 pairs (X) / H5 = 2 ==>  0 pairs (*)
* DURATION: 0:00:29.788120  START: 01:59:18.988445  END: 01:59:48.776565 2020-12-08
* REASONING G4,H5: 2..
* DIS # H5: 2 # G3: 3,9 => CTR => G3: 1,2,4,7
* DIS # H5: 2 + G3: 1,2,4,7 # G6: 7,9 => CTR => G6: 4
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 # G8: 7,9 => CTR => G8: 3
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 # G9: 1 => CTR => G9: 7,9
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # H3: 3,5 => CTR => H3: 7,9
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # E3: 1,2 => CTR => E3: 3,4,5
* PRF # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # F5: 6,7 => SOL
* STA # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 + F5: 6,7
* CNT   7 HDP CHAINS /  47 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

23768;KZ1C;GP;23;11.30;11.30;9.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,H5: 2..:

* INC # H5: 2 # H3: 3,5 => UNS
* INC # H5: 2 # H3: 7,9 => UNS
* INC # H5: 2 # H7: 3,5 => UNS
* INC # H5: 2 # H7: 6 => UNS
* DIS # H5: 2 # G3: 3,9 => CTR => G3: 1,2,4,7
* INC # H5: 2 + G3: 1,2,4,7 # H3: 3,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 # H3: 3,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 # H3: 5,7 => UNS
* INC # H5: 2 + G3: 1,2,4,7 # D2: 3,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 # D2: 2,4,8 => UNS
* DIS # H5: 2 + G3: 1,2,4,7 # G6: 7,9 => CTR => G6: 4
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 # I6: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 # I6: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 # I6: 6 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 # F4: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 # F4: 1,5,6 => UNS
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 # G8: 7,9 => CTR => G8: 3
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 # G9: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 # G9: 7,9 => UNS
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 # G9: 1 => CTR => G9: 7,9
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # I6: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # I6: 6 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # F4: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # F4: 1,5,6 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # C1: 1,2 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # C1: 3,4 => UNS
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 # H3: 3,5 => CTR => H3: 7,9
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # I3: 4,5 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # I3: 7,8,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # F1: 4,5 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # F1: 1 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # D2: 3,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # D2: 2,4,8 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # A3: 1,2 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # B3: 1,2 => UNS
* DIS # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 # E3: 1,2 => CTR => E3: 3,4,5
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # A3: 1,2 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # B3: 1,2 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # I6: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # I6: 6 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # F4: 7,9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # F4: 1,5,6 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # I6: 6,7 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # I6: 9 => UNS
* INC # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # B5: 6,7 => UNS
* PRF # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 # F5: 6,7 => SOL
* STA # H5: 2 + G3: 1,2,4,7 + G6: 4 + G8: 3 + G9: 7,9 + H3: 7,9 + E3: 3,4,5 + F5: 6,7
* CNT  46 HDP CHAINS /  47 HYP OPENED