Analysis of xx-ph-00697483-12_12_19-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.......2...3.124.....5..6....4.36.1..7....3....1.43..6.6.8.....9....5.4. initial

Autosolve

position: ........1.......2...3.124..3..5..6....4.36.1..7....3....1.43..646.8.....93...5.4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for I2,I8: 3..:

* DIS # I8: 3 # D7: 7,9 => CTR => D7: 2
* DIS # I8: 3 + D7: 2 # B4: 8,9 => CTR => B4: 1,2
* DIS # I8: 3 + D7: 2 + B4: 1,2 # C6: 8,9 => CTR => C6: 5,6
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # I4: 8,9 => CTR => I4: 2,4,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 # C1: 8,9 => CTR => C1: 5,6,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 # C2: 8,9 => CTR => C2: 5,6,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 # G5: 7,9 => CTR => G5: 2,5,8
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 # F8: 7,9 => CTR => F8: 1
* PRF # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 + F8: 1 => SOL
* STA I8: 3
* CNT   9 HDP CHAINS /  38 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.......2...3.124.....5..6....4.36.1..7....3....1.43..6.6.8.....9....5.4. initial
........1.......2...3.124..3..5..6....4.36.1..7....3....1.43..646.8.....93...5.4. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,B2: 1.. / A2 = 1  =>  0 pairs (_) / B2 = 1  =>  1 pairs (_)
B4,A6: 1.. / B4 = 1  =>  0 pairs (_) / A6 = 1  =>  1 pairs (_)
F8,D9: 1.. / F8 = 1  =>  2 pairs (_) / D9 = 1  =>  1 pairs (_)
G8,G9: 1.. / G8 = 1  =>  1 pairs (_) / G9 = 1  =>  2 pairs (_)
B4,F4: 1.. / B4 = 1  =>  0 pairs (_) / F4 = 1  =>  1 pairs (_)
F8,G8: 1.. / F8 = 1  =>  2 pairs (_) / G8 = 1  =>  1 pairs (_)
D9,G9: 1.. / D9 = 1  =>  1 pairs (_) / G9 = 1  =>  2 pairs (_)
A2,A6: 1.. / A2 = 1  =>  0 pairs (_) / A6 = 1  =>  1 pairs (_)
B2,B4: 1.. / B2 = 1  =>  1 pairs (_) / B4 = 1  =>  0 pairs (_)
D6,D9: 1.. / D6 = 1  =>  2 pairs (_) / D9 = 1  =>  1 pairs (_)
D1,D2: 3.. / D1 = 3  =>  0 pairs (_) / D2 = 3  =>  4 pairs (_)
H1,I2: 3.. / H1 = 3  =>  4 pairs (_) / I2 = 3  =>  0 pairs (_)
H8,I8: 3.. / H8 = 3  =>  0 pairs (_) / I8 = 3  =>  4 pairs (_)
D1,H1: 3.. / D1 = 3  =>  0 pairs (_) / H1 = 3  =>  4 pairs (_)
D2,I2: 3.. / D2 = 3  =>  4 pairs (_) / I2 = 3  =>  0 pairs (_)
H1,H8: 3.. / H1 = 3  =>  4 pairs (_) / H8 = 3  =>  0 pairs (_)
I2,I8: 3.. / I2 = 3  =>  0 pairs (_) / I8 = 3  =>  4 pairs (_)
B1,B2: 4.. / B1 = 4  =>  0 pairs (_) / B2 = 4  =>  0 pairs (_)
I4,I6: 4.. / I4 = 4  =>  0 pairs (_) / I6 = 4  =>  2 pairs (_)
F4,I4: 4.. / F4 = 4  =>  2 pairs (_) / I4 = 4  =>  0 pairs (_)
E1,E2: 5.. / E1 = 5  =>  0 pairs (_) / E2 = 5  =>  0 pairs (_)
H1,H3: 6.. / H1 = 6  =>  0 pairs (_) / H3 = 6  =>  3 pairs (_)
A6,C6: 6.. / A6 = 6  =>  0 pairs (_) / C6 = 6  =>  0 pairs (_)
D9,E9: 6.. / D9 = 6  =>  7 pairs (_) / E9 = 6  =>  0 pairs (_)
* DURATION: 0:00:17.397210  START: 23:14:00.388610  END: 23:14:17.785820 2020-12-29
* CP COUNT: (24)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D9,E9: 6.. / D9 = 6 ==>  7 pairs (_) / E9 = 6 ==>  0 pairs (_)
I2,I8: 3.. / I2 = 3  =>  0 pairs (X) / I8 = 3 ==>  0 pairs (*)
* DURATION: 0:00:52.734665  START: 23:14:17.786437  END: 23:15:10.521102 2020-12-29
* REASONING I2,I8: 3..
* DIS # I8: 3 # D7: 7,9 => CTR => D7: 2
* DIS # I8: 3 + D7: 2 # B4: 8,9 => CTR => B4: 1,2
* DIS # I8: 3 + D7: 2 + B4: 1,2 # C6: 8,9 => CTR => C6: 5,6
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # I4: 8,9 => CTR => I4: 2,4,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 # C1: 8,9 => CTR => C1: 5,6,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 # C2: 8,9 => CTR => C2: 5,6,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 # G5: 7,9 => CTR => G5: 2,5,8
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 # F8: 7,9 => CTR => F8: 1
* PRF # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 + F8: 1 => SOL
* STA I8: 3
* CNT   9 HDP CHAINS /  38 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

697483;12_12_19;dob;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D9,E9: 6..:

* INC # D9: 6 # A1: 5,6 => UNS
* INC # D9: 6 # C1: 5,6 => UNS
* INC # D9: 6 # H1: 5,6 => UNS
* INC # D9: 6 # C2: 5,6 => UNS
* INC # D9: 6 # C2: 7,8,9 => UNS
* INC # D9: 6 # F1: 7,9 => UNS
* INC # D9: 6 # F2: 7,9 => UNS
* INC # D9: 6 # H3: 7,9 => UNS
* INC # D9: 6 # I3: 7,9 => UNS
* INC # D9: 6 # D5: 7,9 => UNS
* INC # D9: 6 # D7: 7,9 => UNS
* INC # D9: 6 # F4: 4,9 => UNS
* INC # D9: 6 # F4: 7 => UNS
* INC # D9: 6 # I6: 4,9 => UNS
* INC # D9: 6 # I6: 2,5,8 => UNS
* INC # D9: 6 # D7: 2,7 => UNS
* INC # D9: 6 # E8: 2,7 => UNS
* INC # D9: 6 # C9: 2,7 => UNS
* INC # D9: 6 # I9: 2,7 => UNS
* INC # D9: 6 # E4: 2,7 => UNS
* INC # D9: 6 # E4: 8,9 => UNS
* INC # D9: 6 => UNS
* INC # E9: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for I2,I8: 3..:

* INC # I8: 3 # E1: 7,9 => UNS
* INC # I8: 3 # F1: 7,9 => UNS
* INC # I8: 3 # E2: 7,9 => UNS
* INC # I8: 3 # F2: 7,9 => UNS
* INC # I8: 3 # I3: 7,9 => UNS
* INC # I8: 3 # I3: 5,8 => UNS
* INC # I8: 3 # D5: 7,9 => UNS
* DIS # I8: 3 # D7: 7,9 => CTR => D7: 2
* INC # I8: 3 + D7: 2 # E1: 7,9 => UNS
* INC # I8: 3 + D7: 2 # F1: 7,9 => UNS
* INC # I8: 3 + D7: 2 # E2: 7,9 => UNS
* INC # I8: 3 + D7: 2 # F2: 7,9 => UNS
* INC # I8: 3 + D7: 2 # I3: 7,9 => UNS
* INC # I8: 3 + D7: 2 # I3: 5,8 => UNS
* INC # I8: 3 + D7: 2 # F4: 1,4 => UNS
* INC # I8: 3 + D7: 2 # F6: 1,4 => UNS
* INC # I8: 3 + D7: 2 # E1: 7,9 => UNS
* INC # I8: 3 + D7: 2 # F1: 7,9 => UNS
* INC # I8: 3 + D7: 2 # E2: 7,9 => UNS
* INC # I8: 3 + D7: 2 # F2: 7,9 => UNS
* INC # I8: 3 + D7: 2 # I3: 7,9 => UNS
* INC # I8: 3 + D7: 2 # I3: 5,8 => UNS
* DIS # I8: 3 + D7: 2 # B4: 8,9 => CTR => B4: 1,2
* INC # I8: 3 + D7: 2 + B4: 1,2 # B5: 8,9 => UNS
* DIS # I8: 3 + D7: 2 + B4: 1,2 # C6: 8,9 => CTR => C6: 5,6
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # B5: 8,9 => UNS
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # B5: 2,5 => UNS
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # E4: 8,9 => UNS
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # F4: 8,9 => UNS
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # H4: 8,9 => UNS
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 # I4: 8,9 => CTR => I4: 2,4,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 # C1: 8,9 => CTR => C1: 5,6,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 # C2: 8,9 => CTR => C2: 5,6,7
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 # G5: 7,9 => CTR => G5: 2,5,8
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 # F4: 1,4 => UNS
* INC # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 # F6: 1,4 => UNS
* DIS # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 # F8: 7,9 => CTR => F8: 1
* PRF # I8: 3 + D7: 2 + B4: 1,2 + C6: 5,6 + I4: 2,4,7 + C1: 5,6,7 + C2: 5,6,7 + G5: 2,5,8 + F8: 1 => SOL
* STA I8: 3
* CNT  38 HDP CHAINS /  38 HYP OPENED