Analysis of xx-ph-00001056-L83-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2.4....9..6.8....7....3........4..5.9.....2....2..91.3....7....4.5....1..8...6.. initial

Autosolve

position: .2.4....9..6.8....7....3........4..5.9.....2....2..91.3....7....4.5....1..8...6.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.224716

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000015

List of important HDP chains detected for D4,E4: 9..:

* DIS # D4: 9 # F8: 2,9 => CTR => F8: 6,8
* DIS # D4: 9 + F8: 6,8 # D5: 1,6 => CTR => D5: 3,7,8
* DIS # D4: 9 + F8: 6,8 + D5: 3,7,8 # E7: 2,9 => CTR => E7: 1,4,6
* DIS # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 # E9: 2,9 => CTR => E9: 1,3,4
* PRF # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 + E9: 1,3,4 # D7: 1,6 => SOL
* STA # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 + E9: 1,3,4 + D7: 1,6
* CNT   5 HDP CHAINS /  34 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....9..6.8....7....3........4..5.9.....2....2..91.3....7....4.5....1..8...6.. initial
.2.4....9..6.8....7....3........4..5.9.....2....2..91.3....7....4.5....1..8...6.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
A2: 4,9
C3: 4,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F2,E3: 2.. / F2 = 2  =>  4 pairs (_) / E3 = 2  =>  2 pairs (_)
A4,C4: 2.. / A4 = 2  =>  3 pairs (_) / C4 = 2  =>  3 pairs (_)
C1,B2: 3.. / C1 = 3  =>  3 pairs (_) / B2 = 3  =>  3 pairs (_)
A2,C3: 4.. / A2 = 4  =>  2 pairs (_) / C3 = 4  =>  3 pairs (_)
E7,E9: 4.. / E7 = 4  =>  3 pairs (_) / E9 = 4  =>  2 pairs (_)
B7,A8: 6.. / B7 = 6  =>  3 pairs (_) / A8 = 6  =>  3 pairs (_)
E1,D2: 7.. / E1 = 7  =>  3 pairs (_) / D2 = 7  =>  2 pairs (_)
C8,B9: 7.. / C8 = 7  =>  3 pairs (_) / B9 = 7  =>  3 pairs (_)
A1,B3: 8.. / A1 = 8  =>  3 pairs (_) / B3 = 8  =>  3 pairs (_)
D7,F8: 8.. / D7 = 8  =>  3 pairs (_) / F8 = 8  =>  5 pairs (_)
A2,C3: 9.. / A2 = 9  =>  3 pairs (_) / C3 = 9  =>  2 pairs (_)
D4,E4: 9.. / D4 = 9  => 11 pairs (_) / E4 = 9  =>  2 pairs (_)
* DURATION: 0:00:10.535452  START: 17:26:42.596894  END: 17:26:53.132346 2020-11-24
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,E4: 9.. / D4 = 9 ==>  0 pairs (*) / E4 = 9  =>  0 pairs (X)
* DURATION: 0:00:37.759360  START: 17:26:53.962410  END: 17:27:31.721770 2020-11-24
* REASONING D4,E4: 9..
* DIS # D4: 9 # F8: 2,9 => CTR => F8: 6,8
* DIS # D4: 9 + F8: 6,8 # D5: 1,6 => CTR => D5: 3,7,8
* DIS # D4: 9 + F8: 6,8 + D5: 3,7,8 # E7: 2,9 => CTR => E7: 1,4,6
* DIS # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 # E9: 2,9 => CTR => E9: 1,3,4
* PRF # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 + E9: 1,3,4 # D7: 1,6 => SOL
* STA # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 + E9: 1,3,4 + D7: 1,6
* CNT   5 HDP CHAINS /  34 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1056;L83;elev;21;11.30;11.30;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,E4: 9..:

* INC # D4: 9 # B3: 1,8 => UNS
* INC # D4: 9 # B3: 5 => UNS
* INC # D4: 9 # G1: 1,8 => UNS
* INC # D4: 9 # G1: 3,7 => UNS
* INC # D4: 9 # A4: 1,8 => UNS
* INC # D4: 9 # A5: 1,8 => UNS
* INC # D4: 9 # B2: 1,3 => UNS
* INC # D4: 9 # B2: 5 => UNS
* INC # D4: 9 # G1: 1,3 => UNS
* INC # D4: 9 # G1: 7,8 => UNS
* INC # D4: 9 # C4: 1,3 => UNS
* INC # D4: 9 # C5: 1,3 => UNS
* INC # D4: 9 # E1: 1,7 => UNS
* INC # D4: 9 # E1: 5,6 => UNS
* INC # D4: 9 # G2: 1,7 => UNS
* INC # D4: 9 # G2: 2,3,4,5 => UNS
* INC # D4: 9 # D5: 1,7 => UNS
* INC # D4: 9 # D5: 3,6,8 => UNS
* DIS # D4: 9 # F8: 2,9 => CTR => F8: 6,8
* INC # D4: 9 + F8: 6,8 # E1: 1,6 => UNS
* INC # D4: 9 + F8: 6,8 # F1: 1,6 => UNS
* DIS # D4: 9 + F8: 6,8 # D5: 1,6 => CTR => D5: 3,7,8
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # D7: 1,6 => UNS
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # D7: 1,6 => UNS
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # D7: 8 => UNS
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # E1: 1,6 => UNS
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # F1: 1,6 => UNS
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # D7: 1,6 => UNS
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 # D7: 8 => UNS
* DIS # D4: 9 + F8: 6,8 + D5: 3,7,8 # E7: 2,9 => CTR => E7: 1,4,6
* INC # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 # E8: 2,9 => UNS
* DIS # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 # E9: 2,9 => CTR => E9: 1,3,4
* PRF # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 + E9: 1,3,4 # D7: 1,6 => SOL
* STA # D4: 9 + F8: 6,8 + D5: 3,7,8 + E7: 1,4,6 + E9: 1,3,4 + D7: 1,6
* CNT  33 HDP CHAINS /  34 HYP OPENED