Analysis of xx-ph-00034432-12_05-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6....7.5..9...4..9...5....3....7.6..2....1.4...3.1.....2....1...78.....61.. initial

Autosolve

position: 98.7..6....7.5..9...4.69...5....3....7.6..2....1.4...3.1.....26...1...78.....61.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:57.985847

List of important HDP chains detected for A2,A3: 1..:

* DIS # A2: 1 # B3: 2,3 # B8: 2,3 => CTR => B8: 4,5,9
* DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 # B9: 2,3 => CTR => B9: 4,5,9
* DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 + B9: 4,5,9 => CTR => B3: 5
* DIS # A2: 1 + B3: 5 # D3: 2,3 # D9: 2,3 => CTR => D9: 4,5,8,9
* PRF # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 4,9 => SOL
* STA # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 + I4: 4,9
* CNT   5 HDP CHAINS /  75 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.7..6....7.5..9...4..9...5....3....7.6..2....1.4...3.1.....2....1...78.....61.. initial
98.7..6....7.5..9...4.69...5....3....7.6..2....1.4...3.1.....26...1...78.....61.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,A3: 1.. / A2 = 1  =>  3 pairs (_) / A3 = 1  =>  0 pairs (_)
A5,C5: 3.. / A5 = 3  =>  2 pairs (_) / C5 = 3  =>  2 pairs (_)
B4,A5: 4.. / B4 = 4  =>  1 pairs (_) / A5 = 4  =>  1 pairs (_)
C1,B3: 5.. / C1 = 5  =>  1 pairs (_) / B3 = 5  =>  1 pairs (_)
A2,B2: 6.. / A2 = 6  =>  2 pairs (_) / B2 = 6  =>  1 pairs (_)
H4,H6: 6.. / H4 = 6  =>  1 pairs (_) / H6 = 6  =>  2 pairs (_)
C4,C8: 6.. / C4 = 6  =>  2 pairs (_) / C8 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
E4,F6: 7.. / E4 = 7  =>  0 pairs (_) / F6 = 7  =>  0 pairs (_)
A7,A9: 7.. / A7 = 7  =>  0 pairs (_) / A9 = 7  =>  0 pairs (_)
F6,G6: 7.. / F6 = 7  =>  0 pairs (_) / G6 = 7  =>  0 pairs (_)
A9,E9: 7.. / A9 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
F6,F7: 7.. / F6 = 7  =>  0 pairs (_) / F7 = 7  =>  0 pairs (_)
I3,I4: 7.. / I3 = 7  =>  0 pairs (_) / I4 = 7  =>  0 pairs (_)
* DURATION: 0:00:08.629945  START: 13:08:34.474757  END: 13:08:43.104702 2020-12-14
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A2,A3: 1.. / A2 = 1 ==>  3 pairs (_) / A3 = 1 ==>  0 pairs (_)
A5,C5: 3.. / A5 = 3 ==>  2 pairs (_) / C5 = 3 ==>  2 pairs (_)
H4,H6: 6.. / H4 = 6 ==>  1 pairs (_) / H6 = 6 ==>  2 pairs (_)
A2,B2: 6.. / A2 = 6 ==>  2 pairs (_) / B2 = 6 ==>  1 pairs (_)
C4,C8: 6.. / C4 = 6 ==>  2 pairs (_) / C8 = 6 ==>  0 pairs (_)
C1,B3: 5.. / C1 = 5 ==>  1 pairs (_) / B3 = 5 ==>  1 pairs (_)
B4,A5: 4.. / B4 = 4 ==>  1 pairs (_) / A5 = 4 ==>  1 pairs (_)
I3,I4: 7.. / I3 = 7 ==>  0 pairs (_) / I4 = 7 ==>  0 pairs (_)
F6,F7: 7.. / F6 = 7 ==>  0 pairs (_) / F7 = 7 ==>  0 pairs (_)
A9,E9: 7.. / A9 = 7 ==>  0 pairs (_) / E9 = 7 ==>  0 pairs (_)
F6,G6: 7.. / F6 = 7 ==>  0 pairs (_) / G6 = 7 ==>  0 pairs (_)
A7,A9: 7.. / A7 = 7 ==>  0 pairs (_) / A9 = 7 ==>  0 pairs (_)
E4,F6: 7.. / E4 = 7 ==>  0 pairs (_) / F6 = 7 ==>  0 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  0 pairs (_)
* DURATION: 0:01:00.912653  START: 13:08:43.105322  END: 13:09:44.017975 2020-12-14
* DCP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A2,A3: 1.. / A2 = 1 ==>  0 pairs (*) / A3 = 1  =>  0 pairs (X)
* DURATION: 0:00:57.984220  START: 13:09:44.169253  END: 13:10:42.153473 2020-12-14
* REASONING A2,A3: 1..
* DIS # A2: 1 # B3: 2,3 # B8: 2,3 => CTR => B8: 4,5,9
* DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 # B9: 2,3 => CTR => B9: 4,5,9
* DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 + B9: 4,5,9 => CTR => B3: 5
* DIS # A2: 1 + B3: 5 # D3: 2,3 # D9: 2,3 => CTR => D9: 4,5,8,9
* PRF # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 4,9 => SOL
* STA # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 + I4: 4,9
* CNT   5 HDP CHAINS /  75 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

34432;12_05;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A2,A3: 1..:

* INC # A2: 1 # C1: 2,3 => UNS
* INC # A2: 1 # B3: 2,3 => UNS
* INC # A2: 1 # D3: 2,3 => UNS
* INC # A2: 1 # D3: 8 => UNS
* INC # A2: 1 # A8: 2,3 => UNS
* INC # A2: 1 # A9: 2,3 => UNS
* INC # A2: 1 # I1: 2,4 => UNS
* INC # A2: 1 # I1: 5 => UNS
* INC # A2: 1 # D2: 2,4 => UNS
* INC # A2: 1 # F2: 2,4 => UNS
* INC # A2: 1 # B4: 2,9 => UNS
* INC # A2: 1 # C4: 2,9 => UNS
* INC # A2: 1 # D6: 2,9 => UNS
* INC # A2: 1 # D6: 5,8 => UNS
* INC # A2: 1 # B8: 2,9 => UNS
* INC # A2: 1 # B9: 2,9 => UNS
* INC # A2: 1 => UNS
* INC # A3: 1 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A5,C5: 3..:

* INC # A5: 3 # A2: 1,2 => UNS
* INC # A5: 3 # A2: 6 => UNS
* INC # A5: 3 # I3: 1,2 => UNS
* INC # A5: 3 # I3: 5,7 => UNS
* INC # A5: 3 # C4: 8,9 => UNS
* INC # A5: 3 # C4: 2,6 => UNS
* INC # A5: 3 # E5: 8,9 => UNS
* INC # A5: 3 # E5: 1 => UNS
* INC # A5: 3 # C7: 8,9 => UNS
* INC # A5: 3 # C9: 8,9 => UNS
* INC # A5: 3 => UNS
* INC # C5: 3 # B3: 2,5 => UNS
* INC # C5: 3 # B3: 3 => UNS
* INC # C5: 3 # I1: 2,5 => UNS
* INC # C5: 3 # I1: 1,4 => UNS
* INC # C5: 3 # C8: 2,5 => UNS
* INC # C5: 3 # C9: 2,5 => UNS
* INC # C5: 3 # H5: 4,8 => UNS
* INC # C5: 3 # H5: 1,5 => UNS
* INC # C5: 3 # A7: 4,8 => UNS
* INC # C5: 3 # A9: 4,8 => UNS
* INC # C5: 3 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H4,H6: 6..:

* INC # H6: 6 # C4: 2,8 => UNS
* INC # H6: 6 # C4: 6,9 => UNS
* INC # H6: 6 # D6: 2,8 => UNS
* INC # H6: 6 # F6: 2,8 => UNS
* INC # H6: 6 # A9: 2,8 => UNS
* INC # H6: 6 # A9: 3,4,7 => UNS
* INC # H6: 6 # B4: 2,9 => UNS
* INC # H6: 6 # C4: 2,9 => UNS
* INC # H6: 6 # D6: 2,9 => UNS
* INC # H6: 6 # D6: 5,8 => UNS
* INC # H6: 6 # B8: 2,9 => UNS
* INC # H6: 6 # B9: 2,9 => UNS
* INC # H6: 6 => UNS
* INC # H4: 6 # H5: 5,8 => UNS
* INC # H4: 6 # G6: 5,8 => UNS
* INC # H4: 6 # D6: 5,8 => UNS
* INC # H4: 6 # F6: 5,8 => UNS
* INC # H4: 6 # H3: 5,8 => UNS
* INC # H4: 6 # H3: 1,3 => UNS
* INC # H4: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for A2,B2: 6..:

* INC # A2: 6 # C1: 2,3 => UNS
* INC # A2: 6 # B3: 2,3 => UNS
* INC # A2: 6 # D2: 2,3 => UNS
* INC # A2: 6 # D2: 4,8 => UNS
* INC # A2: 6 # B8: 2,3 => UNS
* INC # A2: 6 # B9: 2,3 => UNS
* INC # A2: 6 # C4: 2,8 => UNS
* INC # A2: 6 # C4: 6,9 => UNS
* INC # A2: 6 # D6: 2,8 => UNS
* INC # A2: 6 # F6: 2,8 => UNS
* INC # A2: 6 # A9: 2,8 => UNS
* INC # A2: 6 # A9: 3,4,7 => UNS
* INC # A2: 6 => UNS
* INC # B2: 6 # B4: 2,9 => UNS
* INC # B2: 6 # C4: 2,9 => UNS
* INC # B2: 6 # D6: 2,9 => UNS
* INC # B2: 6 # D6: 5,8 => UNS
* INC # B2: 6 # B8: 2,9 => UNS
* INC # B2: 6 # B9: 2,9 => UNS
* INC # B2: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for C4,C8: 6..:

* INC # C4: 6 # D6: 2,8 => UNS
* INC # C4: 6 # F6: 2,8 => UNS
* INC # C4: 6 # A9: 2,8 => UNS
* INC # C4: 6 # A9: 3,4,7 => UNS
* INC # C4: 6 # B4: 2,9 => UNS
* INC # C4: 6 # B4: 4 => UNS
* INC # C4: 6 # D6: 2,9 => UNS
* INC # C4: 6 # D6: 5,8 => UNS
* INC # C4: 6 # B8: 2,9 => UNS
* INC # C4: 6 # B9: 2,9 => UNS
* INC # C4: 6 => UNS
* INC # C8: 6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for C1,B3: 5..:

* INC # C1: 5 # A2: 2,3 => UNS
* INC # C1: 5 # B2: 2,3 => UNS
* INC # C1: 5 # A3: 2,3 => UNS
* INC # C1: 5 # D3: 2,3 => UNS
* INC # C1: 5 # D3: 8 => UNS
* INC # C1: 5 # B8: 2,3 => UNS
* INC # C1: 5 # B9: 2,3 => UNS
* INC # C1: 5 => UNS
* INC # B3: 5 # A2: 2,3 => UNS
* INC # B3: 5 # B2: 2,3 => UNS
* INC # B3: 5 # A3: 2,3 => UNS
* INC # B3: 5 # E1: 2,3 => UNS
* INC # B3: 5 # E1: 1 => UNS
* INC # B3: 5 # C8: 2,3 => UNS
* INC # B3: 5 # C9: 2,3 => UNS
* INC # B3: 5 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for B4,A5: 4..:

* INC # B4: 4 # C5: 3,8 => UNS
* INC # B4: 4 # C5: 9 => UNS
* INC # B4: 4 # A7: 3,8 => UNS
* INC # B4: 4 # A9: 3,8 => UNS
* INC # B4: 4 => UNS
* INC # A5: 4 # B3: 2,5 => UNS
* INC # A5: 4 # B3: 3 => UNS
* INC # A5: 4 # I1: 2,5 => UNS
* INC # A5: 4 # I1: 1,4 => UNS
* INC # A5: 4 # C8: 2,5 => UNS
* INC # A5: 4 # C9: 2,5 => UNS
* INC # A5: 4 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for I3,I4: 7..:

* INC # I3: 7 => UNS
* INC # I4: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F6,F7: 7..:

* INC # F6: 7 => UNS
* INC # F7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A9,E9: 7..:

* INC # A9: 7 => UNS
* INC # E9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

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

* INC # F6: 7 => UNS
* INC # G6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A7,A9: 7..:

* INC # A7: 7 => UNS
* INC # A9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,F6: 7..:

* INC # E4: 7 => UNS
* INC # F6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A2,A3: 1..:

* INC # A2: 1 # C1: 2,3 => UNS
* INC # A2: 1 # B3: 2,3 => UNS
* INC # A2: 1 # D3: 2,3 => UNS
* INC # A2: 1 # D3: 8 => UNS
* INC # A2: 1 # A8: 2,3 => UNS
* INC # A2: 1 # A9: 2,3 => UNS
* INC # A2: 1 # I1: 2,4 => UNS
* INC # A2: 1 # I1: 5 => UNS
* INC # A2: 1 # D2: 2,4 => UNS
* INC # A2: 1 # F2: 2,4 => UNS
* INC # A2: 1 # B4: 2,9 => UNS
* INC # A2: 1 # C4: 2,9 => UNS
* INC # A2: 1 # D6: 2,9 => UNS
* INC # A2: 1 # D6: 5,8 => UNS
* INC # A2: 1 # B8: 2,9 => UNS
* INC # A2: 1 # B9: 2,9 => UNS
* INC # A2: 1 # C1: 2,3 # E1: 2,3 => UNS
* INC # A2: 1 # C1: 2,3 # E1: 1 => UNS
* INC # A2: 1 # C1: 2,3 # D3: 2,3 => UNS
* INC # A2: 1 # C1: 2,3 # D3: 8 => UNS
* INC # A2: 1 # C1: 2,3 # I1: 2,4 => UNS
* INC # A2: 1 # C1: 2,3 # I1: 5 => UNS
* INC # A2: 1 # C1: 2,3 # D2: 2,4 => UNS
* INC # A2: 1 # C1: 2,3 # F2: 2,4 => UNS
* INC # A2: 1 # C1: 2,3 # B4: 2,9 => UNS
* INC # A2: 1 # C1: 2,3 # C4: 2,9 => UNS
* INC # A2: 1 # C1: 2,3 # D6: 2,9 => UNS
* INC # A2: 1 # C1: 2,3 # D6: 5,8 => UNS
* INC # A2: 1 # C1: 2,3 # B8: 2,9 => UNS
* INC # A2: 1 # C1: 2,3 # B9: 2,9 => UNS
* INC # A2: 1 # C1: 2,3 => UNS
* INC # A2: 1 # B3: 2,3 # A8: 2,3 => UNS
* INC # A2: 1 # B3: 2,3 # A9: 2,3 => UNS
* DIS # A2: 1 # B3: 2,3 # B8: 2,3 => CTR => B8: 4,5,9
* DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 # B9: 2,3 => CTR => B9: 4,5,9
* DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 + B9: 4,5,9 => CTR => B3: 5
* INC # A2: 1 + B3: 5 # E1: 2,3 => UNS
* INC # A2: 1 + B3: 5 # E1: 1 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 => UNS
* INC # A2: 1 + B3: 5 # D3: 8 => UNS
* INC # A2: 1 + B3: 5 # I1: 2,4 => UNS
* INC # A2: 1 + B3: 5 # I1: 5 => UNS
* INC # A2: 1 + B3: 5 # D2: 2,4 => UNS
* INC # A2: 1 + B3: 5 # F2: 2,4 => UNS
* INC # A2: 1 + B3: 5 # B4: 2,9 => UNS
* INC # A2: 1 + B3: 5 # C4: 2,9 => UNS
* INC # A2: 1 + B3: 5 # D6: 2,9 => UNS
* INC # A2: 1 + B3: 5 # D6: 5,8 => UNS
* INC # A2: 1 + B3: 5 # B8: 2,9 => UNS
* INC # A2: 1 + B3: 5 # B9: 2,9 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 # E1: 2,3 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 # E1: 1 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 # E1: 2,3 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 # D2: 2,3 => UNS
* DIS # A2: 1 + B3: 5 # D3: 2,3 # D9: 2,3 => CTR => D9: 4,5,8,9
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # E1: 2,3 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 2,3 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H1: 3,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H1: 5 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 3,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 2,8 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G7: 3,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G8: 3,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I1: 2,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I1: 5 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 2,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # F2: 2,4 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G4: 7,8 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G6: 7,8 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H4: 1,8 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H5: 1,8 => UNS
* INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 1,7 => UNS
* PRF # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 4,9 => SOL
* STA # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 + I4: 4,9
* CNT  73 HDP CHAINS /  75 HYP OPENED