Analysis of xx-ph-00000789-957-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2.4..7.......9...6.9.....1..5..8....3..4.1..9.......6.1.7...2.....2.3.......5..8 initial

Autosolve

position: .2.4..7.......9...6.9.....1..5..8....3..4.1..9.......6.1.7...2.....2.3.......5..8 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for B4,C5: 6..:

* DIS # C5: 6 # A4: 4,7 => CTR => A4: 1,2
* DIS # C5: 6 + A4: 1,2 # G9: 6,9 => CTR => G9: 4
* DIS # C5: 6 + A4: 1,2 + G9: 4 # H9: 6,9 => CTR => H9: 1,7
* DIS # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 # C6: 4,7,8 => CTR => C6: 1,2
* PRF # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 + C6: 1,2 # E9: 6,9 => SOL
* STA # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 + C6: 1,2 + E9: 6,9
* CNT   5 HDP CHAINS /  25 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

.2.4..7.......9...6.9.....1..5..8....3..4.1..9.......6.1.7...2.....2.3.......5..8 initial
.2.4..7.......9...6.9.....1..5..8....3..4.1..9.......6.1.7...2.....2.3.......5..8 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A4,C6: 1.. / A4 = 1  =>  0 pairs (_) / C6 = 1  =>  1 pairs (_)
H8,H9: 1.. / H8 = 1  =>  1 pairs (_) / H9 = 1  =>  0 pairs (_)
A9,C9: 2.. / A9 = 2  =>  1 pairs (_) / C9 = 2  =>  0 pairs (_)
F7,F8: 4.. / F7 = 4  =>  2 pairs (_) / F8 = 4  =>  1 pairs (_)
B4,C5: 6.. / B4 = 6  =>  0 pairs (_) / C5 = 6  =>  4 pairs (_)
E7,D8: 8.. / E7 = 8  =>  1 pairs (_) / D8 = 8  =>  0 pairs (_)
H1,I1: 9.. / H1 = 9  =>  1 pairs (_) / I1 = 9  =>  1 pairs (_)
B8,B9: 9.. / B8 = 9  =>  0 pairs (_) / B9 = 9  =>  3 pairs (_)
* DURATION: 0:00:05.277949  START: 05:08:45.287290  END: 05:08:50.565239 2020-11-22
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,C5: 6.. / B4 = 6  =>  0 pairs (X) / C5 = 6 ==>  0 pairs (*)
* DURATION: 0:00:22.898797  START: 05:08:50.566181  END: 05:09:13.464978 2020-11-22
* REASONING B4,C5: 6..
* DIS # C5: 6 # A4: 4,7 => CTR => A4: 1,2
* DIS # C5: 6 + A4: 1,2 # G9: 6,9 => CTR => G9: 4
* DIS # C5: 6 + A4: 1,2 + G9: 4 # H9: 6,9 => CTR => H9: 1,7
* DIS # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 # C6: 4,7,8 => CTR => C6: 1,2
* PRF # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 + C6: 1,2 # E9: 6,9 => SOL
* STA # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 + C6: 1,2 + E9: 6,9
* CNT   5 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

789;957;elev;21;11.30;11.30;10.00

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,C5: 6..:

* DIS # C5: 6 # A4: 4,7 => CTR => A4: 1,2
* INC # C5: 6 + A4: 1,2 # B6: 4,7 => UNS
* INC # C5: 6 + A4: 1,2 # C6: 4,7 => UNS
* INC # C5: 6 + A4: 1,2 # H4: 4,7 => UNS
* INC # C5: 6 + A4: 1,2 # I4: 4,7 => UNS
* INC # C5: 6 + A4: 1,2 # B2: 4,7 => UNS
* INC # C5: 6 + A4: 1,2 # B3: 4,7 => UNS
* INC # C5: 6 + A4: 1,2 # F6: 2,7 => UNS
* INC # C5: 6 + A4: 1,2 # F6: 1,3 => UNS
* INC # C5: 6 + A4: 1,2 # A5: 2,7 => UNS
* INC # C5: 6 + A4: 1,2 # I5: 2,7 => UNS
* INC # C5: 6 + A4: 1,2 # F3: 2,7 => UNS
* INC # C5: 6 + A4: 1,2 # F3: 3 => UNS
* INC # C5: 6 + A4: 1,2 # D8: 6,9 => UNS
* INC # C5: 6 + A4: 1,2 # H8: 6,9 => UNS
* INC # C5: 6 + A4: 1,2 # D9: 6,9 => UNS
* INC # C5: 6 + A4: 1,2 # E9: 6,9 => UNS
* DIS # C5: 6 + A4: 1,2 # G9: 6,9 => CTR => G9: 4
* DIS # C5: 6 + A4: 1,2 + G9: 4 # H9: 6,9 => CTR => H9: 1,7
* INC # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 # D9: 6,9 => UNS
* INC # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 # E9: 6,9 => UNS
* INC # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 # C6: 1,2 => UNS
* DIS # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 # C6: 4,7,8 => CTR => C6: 1,2
* PRF # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 + C6: 1,2 # E9: 6,9 => SOL
* STA # C5: 6 + A4: 1,2 + G9: 4 + H9: 1,7 + C6: 1,2 + E9: 6,9
* CNT  24 HDP CHAINS /  25 HYP OPENED