Analysis of xx-ph-00000772-960-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1.......9..67...2..8...3.....76...4..3..1....96...8.....5...2.7.......5....5..4.6 initial

Autosolve

position: 1.......9..67...2..8...3.....76...4..3..1....96...8.....5...2.7.......5....5..4.6 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000018

List of important HDP chains detected for F5,E6: 7..:

* DIS # E6: 7 # E4: 2,5 => CTR => E4: 3
* DIS # E6: 7 + E4: 3 # H1: 6,7 => CTR => H1: 3,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 # I4: 1 => CTR => I4: 2,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 # A5: 2,8 => CTR => A5: 4,5
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 # C5: 4 => CTR => C5: 2,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 # H7: 1,3 => CTR => H7: 8,9
* PRF # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 + H7: 8,9 # H9: 1,3 => SOL
* STA # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 + H7: 8,9 + H9: 1,3
* CNT   7 HDP CHAINS /  20 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

1.......9..67...2..8...3.....76...4..3..1....96...8.....5...2.7.......5....5..4.6 initial
1.......9..67...2..8...3.....76...4..3..1....96...8.....5...2.7.......5....5..4.6 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
F2,D3: 1.. / F2 = 1  =>  0 pairs (_) / D3 = 1  =>  2 pairs (_)
B4,C6: 1.. / B4 = 1  =>  3 pairs (_) / C6 = 1  =>  3 pairs (_)
C1,A2: 3.. / C1 = 3  =>  1 pairs (_) / A2 = 3  =>  1 pairs (_)
I2,I3: 4.. / I2 = 4  =>  3 pairs (_) / I3 = 4  =>  1 pairs (_)
G5,H5: 6.. / G5 = 6  =>  0 pairs (_) / H5 = 6  =>  1 pairs (_)
A7,A8: 6.. / A7 = 6  =>  0 pairs (_) / A8 = 6  =>  0 pairs (_)
B1,A3: 7.. / B1 = 7  =>  0 pairs (_) / A3 = 7  =>  1 pairs (_)
F5,E6: 7.. / F5 = 7  =>  0 pairs (_) / E6 = 7  =>  6 pairs (_)
B2,C3: 9.. / B2 = 9  =>  2 pairs (_) / C3 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.637812  START: 02:13:15.410109  END: 02:13:22.047921 2020-11-22
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F5,E6: 7.. / F5 = 7  =>  0 pairs (X) / E6 = 7 ==>  0 pairs (*)
* DURATION: 0:00:21.948833  START: 02:13:22.049260  END: 02:13:43.998093 2020-11-22
* REASONING F5,E6: 7..
* DIS # E6: 7 # E4: 2,5 => CTR => E4: 3
* DIS # E6: 7 + E4: 3 # H1: 6,7 => CTR => H1: 3,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 # I4: 1 => CTR => I4: 2,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 # A5: 2,8 => CTR => A5: 4,5
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 # C5: 4 => CTR => C5: 2,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 # H7: 1,3 => CTR => H7: 8,9
* PRF # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 + H7: 8,9 # H9: 1,3 => SOL
* STA # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 + H7: 8,9 + H9: 1,3
* CNT   7 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

772;960;elev;22;11.30;11.30;10.00

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F5,E6: 7..:

* DIS # E6: 7 # E4: 2,5 => CTR => E4: 3
* INC # E6: 7 + E4: 3 # F5: 2,5 => UNS
* INC # E6: 7 + E4: 3 # F5: 2,5 => UNS
* INC # E6: 7 + E4: 3 # F5: 4,9 => UNS
* INC # E6: 7 + E4: 3 # A4: 2,5 => UNS
* INC # E6: 7 + E4: 3 # B4: 2,5 => UNS
* INC # E6: 7 + E4: 3 # G1: 6,7 => UNS
* INC # E6: 7 + E4: 3 # G3: 6,7 => UNS
* DIS # E6: 7 + E4: 3 # H1: 6,7 => CTR => H1: 3,8
* INC # E6: 7 + E4: 3 + H1: 3,8 # I4: 2,8 => UNS
* DIS # E6: 7 + E4: 3 + H1: 3,8 # I4: 1 => CTR => I4: 2,8
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 # A5: 2,8 => CTR => A5: 4,5
* INC # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 # C5: 2,8 => UNS
* INC # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 # C5: 2,8 => UNS
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 # C5: 4 => CTR => C5: 2,8
* INC # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 # G6: 1,3 => UNS
* INC # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 # I6: 1,3 => UNS
* DIS # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 # H7: 1,3 => CTR => H7: 8,9
* PRF # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 + H7: 8,9 # H9: 1,3 => SOL
* STA # E6: 7 + E4: 3 + H1: 3,8 + I4: 2,8 + A5: 4,5 + C5: 2,8 + H7: 8,9 + H9: 1,3
* CNT  19 HDP CHAINS /  20 HYP OPENED