Analysis of xx-ph-00001289-490-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2.4....9.....9.3....2.7....7.9....43......5...8...6..5.....8....6.1.....9...4..1 initial

Autosolve

position: .2.4....9.....9.3....2.7....7.9....43......5...8...6..5...9.8....6.1.....9...4..1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for B7,C7: 1..:

* DIS # C7: 1 # B3: 3,4 => CTR => B3: 1,5,6,8
* DIS # C7: 1 + B3: 1,5,6,8 # B8: 8 => CTR => B8: 3,4
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # C3: 3,5 => CTR => C3: 4,9
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 # A3: 4,9 => CTR => A3: 1,6
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # F4: 1,3 => CTR => F4: 5,6,8
* PRF # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 + F4: 5,6,8 => SOL
* STA C7: 1
* CNT   6 HDP CHAINS /  31 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.....9.3....2.7....7.9....43......5...8...6..5.....8....6.1.....9...4..1 initial
.2.4....9.....9.3....2.7....7.9....43......5...8...6..5...9.8....6.1.....9...4..1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,D2: 1.. / F1 = 1  =>  1 pairs (_) / D2 = 1  =>  0 pairs (_)
B7,C7: 1.. / B7 = 1  =>  2 pairs (_) / C7 = 1  =>  2 pairs (_)
G2,I2: 2.. / G2 = 2  =>  1 pairs (_) / I2 = 2  =>  2 pairs (_)
G4,I6: 3.. / G4 = 3  =>  1 pairs (_) / I6 = 3  =>  2 pairs (_)
E5,E6: 4.. / E5 = 4  =>  1 pairs (_) / E6 = 4  =>  1 pairs (_)
C4,B6: 5.. / C4 = 5  =>  1 pairs (_) / B6 = 5  =>  1 pairs (_)
A4,B5: 6.. / A4 = 6  =>  1 pairs (_) / B5 = 6  =>  1 pairs (_)
H4,I5: 8.. / H4 = 8  =>  1 pairs (_) / I5 = 8  =>  2 pairs (_)
A3,C3: 9.. / A3 = 9  =>  0 pairs (_) / C3 = 9  =>  0 pairs (_)
C5,A6: 9.. / C5 = 9  =>  0 pairs (_) / A6 = 9  =>  0 pairs (_)
G5,H6: 9.. / G5 = 9  =>  0 pairs (_) / H6 = 9  =>  0 pairs (_)
G8,H8: 9.. / G8 = 9  =>  0 pairs (_) / H8 = 9  =>  0 pairs (_)
C5,G5: 9.. / C5 = 9  =>  0 pairs (_) / G5 = 9  =>  0 pairs (_)
A6,H6: 9.. / A6 = 9  =>  0 pairs (_) / H6 = 9  =>  0 pairs (_)
A3,A6: 9.. / A3 = 9  =>  0 pairs (_) / A6 = 9  =>  0 pairs (_)
C3,C5: 9.. / C3 = 9  =>  0 pairs (_) / C5 = 9  =>  0 pairs (_)
G5,G8: 9.. / G5 = 9  =>  0 pairs (_) / G8 = 9  =>  0 pairs (_)
H6,H8: 9.. / H6 = 9  =>  0 pairs (_) / H8 = 9  =>  0 pairs (_)
* DURATION: 0:00:13.711000  START: 00:58:52.075801  END: 00:59:05.786801 2020-11-27
* CP COUNT: (18)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,C7: 1.. / B7 = 1 ==>  2 pairs (_) / C7 = 1 ==>  0 pairs (*)
* DURATION: 0:00:39.233034  START: 00:59:05.787651  END: 00:59:45.020685 2020-11-27
* REASONING B7,C7: 1..
* DIS # C7: 1 # B3: 3,4 => CTR => B3: 1,5,6,8
* DIS # C7: 1 + B3: 1,5,6,8 # B8: 8 => CTR => B8: 3,4
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # C3: 3,5 => CTR => C3: 4,9
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 # A3: 4,9 => CTR => A3: 1,6
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # F4: 1,3 => CTR => F4: 5,6,8
* PRF # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 + F4: 5,6,8 => SOL
* STA C7: 1
* CNT   6 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1289;490;elev;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,C7: 1..:

* INC # B7: 1 # E5: 4,6 => UNS
* INC # B7: 1 # E5: 2,7,8 => UNS
* INC # B7: 1 # B2: 4,6 => UNS
* INC # B7: 1 # B3: 4,6 => UNS
* INC # B7: 1 # E6: 4,5 => UNS
* INC # B7: 1 # E6: 2,3,7 => UNS
* INC # B7: 1 # B2: 4,5 => UNS
* INC # B7: 1 # B3: 4,5 => UNS
* INC # B7: 1 => UNS
* INC # C7: 1 # E4: 2,5 => UNS
* INC # C7: 1 # F4: 2,5 => UNS
* INC # C7: 1 # B8: 3,4 => UNS
* INC # C7: 1 # B8: 8 => UNS
* DIS # C7: 1 # B3: 3,4 => CTR => B3: 1,5,6,8
* INC # C7: 1 + B3: 1,5,6,8 # B8: 3,4 => UNS
* DIS # C7: 1 + B3: 1,5,6,8 # B8: 8 => CTR => B8: 3,4
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # A4: 1,6 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # A4: 2 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # D5: 1,6 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # F5: 1,6 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # B2: 1,6 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # B3: 1,6 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # C3: 4,9 => UNS
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 # C3: 3,5 => CTR => C3: 4,9
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 # A3: 4,9 => CTR => A3: 1,6
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # D6: 1,5 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # F6: 1,5 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # B2: 1,5 => UNS
* INC # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # B3: 1,5 => UNS
* DIS # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 # F4: 1,3 => CTR => F4: 5,6,8
* PRF # C7: 1 + B3: 1,5,6,8 + B8: 3,4 + C3: 4,9 + A3: 1,6 + F4: 5,6,8 => SOL
* STA C7: 1
* CNT  31 HDP CHAINS /  31 HYP OPENED