Analysis of xx-ph-02489005-2019_08_05_a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7..54.9....5....765......3...7.5..94...9.....2...7.3....94...67......1.. initial

Autosolve

position: 98.76....7..54.9....5....7659.....3...7.5..94...9.....2...7.3....94...67.7....1.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.193166

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000022

List of important HDP chains detected for B7,B8: 5..:

* DIS # B8: 5 # G4: 2,8 => CTR => G4: 6,7
* CNT   1 HDP CHAINS /  42 HYP OPENED

List of important HDP chains detected for F6,G6: 7..:

* DIS # G6: 7 # E8: 1,3 => CTR => E8: 2,8
* PRF # G6: 7 + E8: 2,8 # F3: 1,3 => SOL
* STA # G6: 7 + E8: 2,8 + F3: 1,3
* CNT   2 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

98.76....7..54.9....5....765......3...7.5..94...9.....2...7.3....94...67......1.. initial
98.76....7..54.9....5....7659.....3...7.5..94...9.....2...7.3....94...67.7....1.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
F4: 4,7
F6: 4,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 3.. / I1 = 3  =>  3 pairs (_) / I2 = 3  =>  2 pairs (_)
G1,G3: 4.. / G1 = 4  =>  3 pairs (_) / G3 = 4  =>  2 pairs (_)
F4,F6: 4.. / F4 = 4  =>  0 pairs (_) / F6 = 4  =>  5 pairs (_)
H7,H9: 4.. / H7 = 4  =>  2 pairs (_) / H9 = 4  =>  3 pairs (_)
C1,G1: 4.. / C1 = 4  =>  2 pairs (_) / G1 = 4  =>  3 pairs (_)
C4,F4: 4.. / C4 = 4  =>  5 pairs (_) / F4 = 4  =>  0 pairs (_)
B7,B8: 5.. / B7 = 5  =>  5 pairs (_) / B8 = 5  =>  3 pairs (_)
B2,C2: 6.. / B2 = 6  =>  2 pairs (_) / C2 = 6  =>  2 pairs (_)
F4,F6: 7.. / F4 = 7  =>  5 pairs (_) / F6 = 7  =>  0 pairs (_)
G4,G6: 7.. / G4 = 7  =>  0 pairs (_) / G6 = 7  =>  5 pairs (_)
F4,G4: 7.. / F4 = 7  =>  5 pairs (_) / G4 = 7  =>  0 pairs (_)
F6,G6: 7.. / F6 = 7  =>  0 pairs (_) / G6 = 7  =>  5 pairs (_)
E3,F3: 9.. / E3 = 9  =>  2 pairs (_) / F3 = 9  =>  2 pairs (_)
I7,I9: 9.. / I7 = 9  =>  2 pairs (_) / I9 = 9  =>  3 pairs (_)
F7,I7: 9.. / F7 = 9  =>  3 pairs (_) / I7 = 9  =>  2 pairs (_)
E3,E9: 9.. / E3 = 9  =>  2 pairs (_) / E9 = 9  =>  2 pairs (_)
* DURATION: 0:00:16.162427  START: 14:57:31.067983  END: 14:57:47.230410 2020-11-17
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,B8: 5.. / B7 = 5 ==>  5 pairs (_) / B8 = 5 ==>  4 pairs (_)
F6,G6: 7.. / F6 = 7  =>  0 pairs (X) / G6 = 7 ==>  0 pairs (*)
* DURATION: 0:01:15.003628  START: 14:57:48.133605  END: 14:59:03.137233 2020-11-17
* REASONING B7,B8: 5..
* DIS # B8: 5 # G4: 2,8 => CTR => G4: 6,7
* CNT   1 HDP CHAINS /  42 HYP OPENED
* REASONING F6,G6: 7..
* DIS # G6: 7 # E8: 1,3 => CTR => E8: 2,8
* PRF # G6: 7 + E8: 2,8 # F3: 1,3 => SOL
* STA # G6: 7 + E8: 2,8 + F3: 1,3
* CNT   2 HDP CHAINS /  42 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2489005;2019_08_05_a;PAQ;26;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,B8: 5..:

* INC # B7: 5 # A8: 1,3 => UNS
* INC # B7: 5 # A8: 8 => UNS
* INC # B7: 5 # E8: 1,3 => UNS
* INC # B7: 5 # F8: 1,3 => UNS
* INC # B7: 5 # B2: 1,3 => UNS
* INC # B7: 5 # B3: 1,3 => UNS
* INC # B7: 5 # B5: 1,3 => UNS
* INC # B7: 5 # B6: 1,3 => UNS
* INC # B7: 5 # H9: 4,8 => UNS
* INC # B7: 5 # H9: 2,5 => UNS
* INC # B7: 5 # C7: 4,8 => UNS
* INC # B7: 5 # C7: 1,6 => UNS
* INC # B7: 5 # I9: 8,9 => UNS
* INC # B7: 5 # I9: 2,5 => UNS
* INC # B7: 5 # F7: 8,9 => UNS
* INC # B7: 5 # F7: 1,6 => UNS
* INC # B7: 5 => UNS
* INC # B8: 5 # H9: 2,8 => UNS
* INC # B8: 5 # I9: 2,8 => UNS
* INC # B8: 5 # E8: 2,8 => UNS
* INC # B8: 5 # F8: 2,8 => UNS
* INC # B8: 5 # G3: 2,8 => UNS
* DIS # B8: 5 # G4: 2,8 => CTR => G4: 6,7
* INC # B8: 5 + G4: 6,7 # G5: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G6: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # H9: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # I9: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # E8: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # F8: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G3: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G5: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G6: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G6: 6,7 => UNS
* INC # B8: 5 + G4: 6,7 # G6: 2,5,8 => UNS
* INC # B8: 5 + G4: 6,7 # H9: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # I9: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # E8: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # F8: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G3: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G5: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 # G6: 2,8 => UNS
* INC # B8: 5 + G4: 6,7 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for F6,G6: 7..:

* INC # G6: 7 # C1: 1,3 => UNS
* INC # G6: 7 # C2: 1,3 => UNS
* INC # G6: 7 # D3: 1,3 => UNS
* INC # G6: 7 # E3: 1,3 => UNS
* INC # G6: 7 # F3: 1,3 => UNS
* INC # G6: 7 # A5: 1,3 => UNS
* INC # G6: 7 # A8: 1,3 => UNS
* INC # G6: 7 # H2: 2,8 => UNS
* INC # G6: 7 # I2: 2,8 => UNS
* INC # G6: 7 # D3: 2,8 => UNS
* INC # G6: 7 # E3: 2,8 => UNS
* INC # G6: 7 # F3: 2,8 => UNS
* INC # G6: 7 # G4: 2,8 => UNS
* INC # G6: 7 # G5: 2,8 => UNS
* INC # G6: 7 # A8: 1,3 => UNS
* INC # G6: 7 # A8: 8 => UNS
* DIS # G6: 7 # E8: 1,3 => CTR => E8: 2,8
* INC # G6: 7 + E8: 2,8 # F8: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # F8: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # F8: 2,8 => UNS
* INC # G6: 7 + E8: 2,8 # B5: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # B6: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # A8: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # A8: 8 => UNS
* INC # G6: 7 + E8: 2,8 # F8: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # F8: 2,8 => UNS
* INC # G6: 7 + E8: 2,8 # B5: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # B6: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # I9: 8,9 => UNS
* INC # G6: 7 + E8: 2,8 # I9: 2 => UNS
* INC # G6: 7 + E8: 2,8 # F7: 8,9 => UNS
* INC # G6: 7 + E8: 2,8 # F7: 1,6 => UNS
* INC # G6: 7 + E8: 2,8 # I9: 2,8 => UNS
* INC # G6: 7 + E8: 2,8 # I9: 9 => UNS
* INC # G6: 7 + E8: 2,8 # H2: 2,8 => UNS
* INC # G6: 7 + E8: 2,8 # H6: 2,8 => UNS
* INC # G6: 7 + E8: 2,8 # C1: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # C2: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # D3: 1,3 => UNS
* INC # G6: 7 + E8: 2,8 # E3: 1,3 => UNS
* PRF # G6: 7 + E8: 2,8 # F3: 1,3 => SOL
* STA # G6: 7 + E8: 2,8 + F3: 1,3
* CNT  41 HDP CHAINS /  42 HYP OPENED