Analysis of xx-ph-00247917-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1....23.....45...2...3..5.6..7.4....8.9.6..1....6.5..1..8......91.....7.. initial

Autosolve

position: ........1....23.....45...2...3..5.6.67.4....8.9.6..1....6.5..1..8......91.....7.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for C2,C5: 1..:

* DIS # C2: 1 # C6: 2,5 => CTR => C6: 8
* DIS # C2: 1 + C6: 8 # C1: 2,5 => CTR => C1: 7,9
* DIS # C2: 1 + C6: 8 + C1: 7,9 # E1: 7,9 => CTR => E1: 4,6,8
* DIS # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 # F1: 7,9 => CTR => F1: 4,6,8
* DIS # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # B1: 3,6 => CTR => B1: 2,5
* PRF # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 + B1: 2,5 # G3: 3,6 => SOL
* STA # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 + B1: 2,5 + G3: 3,6
* CNT   6 HDP CHAINS /  42 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....23.....45...2...3..5.6..7.4....8.9.6..1....6.5..1..8......91.....7.. initial
........1....23.....45...2...3..5.6.67.4....8.9.6..1....6.5..1..8......91.....7.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,C5: 1.. / B4 = 1  =>  3 pairs (_) / C5 = 1  =>  3 pairs (_)
C2,C5: 1.. / C2 = 1  =>  3 pairs (_) / C5 = 1  =>  3 pairs (_)
E5,E6: 3.. / E5 = 3  =>  2 pairs (_) / E6 = 3  =>  1 pairs (_)
E1,F1: 4.. / E1 = 4  =>  0 pairs (_) / F1 = 4  =>  0 pairs (_)
G8,I9: 6.. / G8 = 6  =>  0 pairs (_) / I9 = 6  =>  1 pairs (_)
G7,H9: 8.. / G7 = 8  =>  0 pairs (_) / H9 = 8  =>  1 pairs (_)
A7,C9: 9.. / A7 = 9  =>  1 pairs (_) / C9 = 9  =>  0 pairs (_)
* DURATION: 0:00:04.487919  START: 21:35:12.778829  END: 21:35:17.266748 2020-10-27
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C2,C5: 1.. / C2 = 1 ==>  0 pairs (*) / C5 = 1  =>  0 pairs (X)
* DURATION: 0:00:26.736686  START: 21:35:17.267429  END: 21:35:44.004115 2020-10-27
* REASONING C2,C5: 1..
* DIS # C2: 1 # C6: 2,5 => CTR => C6: 8
* DIS # C2: 1 + C6: 8 # C1: 2,5 => CTR => C1: 7,9
* DIS # C2: 1 + C6: 8 + C1: 7,9 # E1: 7,9 => CTR => E1: 4,6,8
* DIS # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 # F1: 7,9 => CTR => F1: 4,6,8
* DIS # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # B1: 3,6 => CTR => B1: 2,5
* PRF # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 + B1: 2,5 # G3: 3,6 => SOL
* STA # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 + B1: 2,5 + G3: 3,6
* CNT   6 HDP CHAINS /  42 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

247917;12_12_03;dob;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,C5: 1..:

* INC # C2: 1 # B1: 5,6 => UNS
* INC # C2: 1 # B1: 2,3 => UNS
* INC # C2: 1 # G2: 5,6 => UNS
* INC # C2: 1 # I2: 5,6 => UNS
* INC # C2: 1 # B1: 3,6 => UNS
* INC # C2: 1 # B1: 2,5 => UNS
* INC # C2: 1 # G3: 3,6 => UNS
* INC # C2: 1 # I3: 3,6 => UNS
* INC # C2: 1 # A6: 2,5 => UNS
* DIS # C2: 1 # C6: 2,5 => CTR => C6: 8
* INC # C2: 1 + C6: 8 # A6: 2,5 => UNS
* INC # C2: 1 + C6: 8 # A6: 4 => UNS
* INC # C2: 1 + C6: 8 # G5: 2,5 => UNS
* INC # C2: 1 + C6: 8 # G5: 3,9 => UNS
* DIS # C2: 1 + C6: 8 # C1: 2,5 => CTR => C1: 7,9
* INC # C2: 1 + C6: 8 + C1: 7,9 # C8: 2,5 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # C9: 2,5 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # A6: 2,5 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # A6: 4 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # G5: 2,5 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # G5: 3,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # C8: 2,5 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # C9: 2,5 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # A1: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # A2: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # A3: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 # D1: 7,9 => UNS
* DIS # C2: 1 + C6: 8 + C1: 7,9 # E1: 7,9 => CTR => E1: 4,6,8
* DIS # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 # F1: 7,9 => CTR => F1: 4,6,8
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # H1: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # A1: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # A2: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # A3: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # D1: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # H1: 7,9 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # B1: 5,6 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # B1: 2,3 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # G2: 5,6 => UNS
* INC # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # I2: 5,6 => UNS
* DIS # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 # B1: 3,6 => CTR => B1: 2,5
* PRF # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 + B1: 2,5 # G3: 3,6 => SOL
* STA # C2: 1 + C6: 8 + C1: 7,9 + E1: 4,6,8 + F1: 4,6,8 + B1: 2,5 + G3: 3,6
* CNT  41 HDP CHAINS /  42 HYP OPENED