Analysis of xx-ph-00001052-L82-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2..5....4....91..7.9..........6..3...1..89.....2....5.3.8....6......84.8.4..7... initial

Autosolve

position: .2..5....4....91..7.9..........6..3...1..89.....2....5.3.8....6......84.8.4..7... autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.201898

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000016

List of important HDP chains detected for E7,F7: 4..:

* DIS # F7: 4 # D4: 1,5 => CTR => D4: 4,7,9
* DIS # F7: 4 + D4: 4,7,9 # E6: 1,3 => CTR => E6: 4,7,9
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 # D1: 3,6 => CTR => D1: 1,4,7
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # G1: 3,6 => CTR => G1: 4,7
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # F3: 3,6 => CTR => F3: 2
* PRF # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 # F8: 5 => SOL
* STA # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 + F8: 5
* CNT   6 HDP CHAINS /  21 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..5....4....91..7.9..........6..3...1..89.....2....5.3.8....6......84.8.4..7... initial
.2..5....4....91..7.9..........6..3...1..89.....2....5.3.8....6......84.8.4..7... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
I4: 1,8
H6: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,B3: 1.. / A1 = 1  =>  2 pairs (_) / B3 = 1  =>  3 pairs (_)
I4,H6: 1.. / I4 = 1  =>  1 pairs (_) / H6 = 1  =>  1 pairs (_)
E7,F7: 4.. / E7 = 4  =>  3 pairs (_) / F7 = 4  =>  4 pairs (_)
H5,G6: 6.. / H5 = 6  =>  3 pairs (_) / G6 = 6  =>  4 pairs (_)
B9,D9: 6.. / B9 = 6  =>  3 pairs (_) / D9 = 6  =>  3 pairs (_)
E2,E3: 8.. / E2 = 8  =>  3 pairs (_) / E3 = 8  =>  2 pairs (_)
I4,H6: 8.. / I4 = 8  =>  1 pairs (_) / H6 = 8  =>  1 pairs (_)
H1,I1: 9.. / H1 = 9  =>  2 pairs (_) / I1 = 9  =>  2 pairs (_)
D4,E6: 9.. / D4 = 9  =>  3 pairs (_) / E6 = 9  =>  3 pairs (_)
* DURATION: 0:00:08.283438  START: 16:32:34.219402  END: 16:32:42.502840 2020-11-24
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H5,G6: 6.. / H5 = 6 ==>  3 pairs (_) / G6 = 6 ==>  4 pairs (_)
E7,F7: 4.. / E7 = 4  =>  0 pairs (X) / F7 = 4 ==>  0 pairs (*)
* DURATION: 0:00:36.105448  START: 16:32:43.366433  END: 16:33:19.471881 2020-11-24
* REASONING E7,F7: 4..
* DIS # F7: 4 # D4: 1,5 => CTR => D4: 4,7,9
* DIS # F7: 4 + D4: 4,7,9 # E6: 1,3 => CTR => E6: 4,7,9
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 # D1: 3,6 => CTR => D1: 1,4,7
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # G1: 3,6 => CTR => G1: 4,7
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # F3: 3,6 => CTR => F3: 2
* PRF # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 # F8: 5 => SOL
* STA # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 + F8: 5
* CNT   6 HDP CHAINS /  21 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1052;L82;elev;22;11.30;11.30;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H5,G6: 6..:

* INC # G6: 6 # E6: 3,9 => UNS
* INC # G6: 6 # E6: 1,4,7 => UNS
* INC # G6: 6 # G4: 2,7 => UNS
* INC # G6: 6 # I5: 2,7 => UNS
* INC # G6: 6 # H2: 2,7 => UNS
* INC # G6: 6 # H7: 2,7 => UNS
* INC # G6: 6 => UNS
* INC # H5: 6 # G4: 4,7 => UNS
* INC # H5: 6 # I5: 4,7 => UNS
* INC # H5: 6 # B6: 4,7 => UNS
* INC # H5: 6 # E6: 4,7 => UNS
* INC # H5: 6 # G1: 4,7 => UNS
* INC # H5: 6 # G1: 3,6 => UNS
* INC # H5: 6 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for E7,F7: 4..:

* DIS # F7: 4 # D4: 1,5 => CTR => D4: 4,7,9
* INC # F7: 4 + D4: 4,7,9 # F8: 1,5 => UNS
* INC # F7: 4 + D4: 4,7,9 # F8: 2,3,6 => UNS
* DIS # F7: 4 + D4: 4,7,9 # E6: 1,3 => CTR => E6: 4,7,9
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 # D1: 3,6 => CTR => D1: 1,4,7
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # D2: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # D3: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # F3: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # A1: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # C1: 3,6 => UNS
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 # G1: 3,6 => CTR => G1: 4,7
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # F8: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # F8: 2,5 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # D2: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # D3: 3,6 => UNS
* DIS # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 # F3: 3,6 => CTR => F3: 2
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 # A1: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 # C1: 3,6 => UNS
* INC # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 # F8: 3,6 => UNS
* PRF # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 # F8: 5 => SOL
* STA # F7: 4 + D4: 4,7,9 + E6: 4,7,9 + D1: 1,4,7 + G1: 4,7 + F3: 2 + F8: 5
* CNT  20 HDP CHAINS /  21 HYP OPENED