Analysis of xx-ph-00068143-12_11-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7....5.....5....6.64.8.......9..76......3....2..1....6..8..69......287.. initial

Autosolve

position: 98.76.5..7....5.....5....6764.8.......9..76.....63....2..1....6..8..69......287.. 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

Time used: 0:00:00.000007

List of important HDP chains detected for D3,D9: 9..:

* PRF # D9: 9 # F3: 3,4 => SOL
* STA # D9: 9 + F3: 3,4
* CNT   1 HDP CHAINS /   8 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

98.76.5..7....5.....5....6.64.8.......9..76......3....2..1....6..8..69......287.. initial
98.76.5..7....5.....5....6764.8.......9..76.....63....2..1....6..8..69......287.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H8,I8: 2.. / H8 = 2  =>  0 pairs (_) / I8 = 2  =>  0 pairs (_)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  1 pairs (_)
B9,C9: 6.. / B9 = 6  =>  1 pairs (_) / C9 = 6  =>  0 pairs (_)
B2,B9: 6.. / B2 = 6  =>  0 pairs (_) / B9 = 6  =>  1 pairs (_)
C2,C9: 6.. / C2 = 6  =>  1 pairs (_) / C9 = 6  =>  0 pairs (_)
H4,H6: 7.. / H4 = 7  =>  0 pairs (_) / H6 = 7  =>  2 pairs (_)
E7,E8: 7.. / E7 = 7  =>  2 pairs (_) / E8 = 7  =>  0 pairs (_)
C4,H4: 7.. / C4 = 7  =>  2 pairs (_) / H4 = 7  =>  0 pairs (_)
B8,E8: 7.. / B8 = 7  =>  2 pairs (_) / E8 = 7  =>  0 pairs (_)
E2,E3: 8.. / E2 = 8  =>  1 pairs (_) / E3 = 8  =>  1 pairs (_)
A5,A6: 8.. / A5 = 8  =>  1 pairs (_) / A6 = 8  =>  0 pairs (_)
G7,H7: 8.. / G7 = 8  =>  3 pairs (_) / H7 = 8  =>  1 pairs (_)
E3,G3: 8.. / E3 = 8  =>  1 pairs (_) / G3 = 8  =>  1 pairs (_)
H2,I2: 9.. / H2 = 9  =>  0 pairs (_) / I2 = 9  =>  2 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  0 pairs (_)
B9,D9: 9.. / B9 = 9  =>  0 pairs (_) / D9 = 9  =>  1 pairs (_)
D3,D9: 9.. / D3 = 9  =>  0 pairs (_) / D9 = 9  =>  1 pairs (_)
* DURATION: 0:00:11.124979  START: 19:32:45.307955  END: 19:32:56.432934 2020-12-22
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G7,H7: 8.. / G7 = 8 ==>  3 pairs (_) / H7 = 8 ==>  1 pairs (_)
H2,I2: 9.. / H2 = 9 ==>  0 pairs (_) / I2 = 9 ==>  2 pairs (_)
B8,E8: 7.. / B8 = 7 ==>  2 pairs (_) / E8 = 7 ==>  0 pairs (_)
C4,H4: 7.. / C4 = 7 ==>  2 pairs (_) / H4 = 7 ==>  0 pairs (_)
E7,E8: 7.. / E7 = 7 ==>  2 pairs (_) / E8 = 7 ==>  0 pairs (_)
H4,H6: 7.. / H4 = 7 ==>  0 pairs (_) / H6 = 7 ==>  2 pairs (_)
E3,G3: 8.. / E3 = 8 ==>  1 pairs (_) / G3 = 8 ==>  1 pairs (_)
E2,E3: 8.. / E2 = 8 ==>  1 pairs (_) / E3 = 8 ==>  1 pairs (_)
D3,D9: 9.. / D3 = 9  =>  0 pairs (X) / D9 = 9 ==>  0 pairs (*)
* DURATION: 0:01:10.985107  START: 19:32:56.433486  END: 19:34:07.418593 2020-12-22
* REASONING D3,D9: 9..
* PRF # D9: 9 # F3: 3,4 => SOL
* STA # D9: 9 + F3: 3,4
* CNT   1 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (9)
* SOLUTION FOUND

Header Info

68143;12_11;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G7,H7: 8..:

* INC # G7: 8 # F1: 1,4 => UNS
* INC # G7: 8 # F3: 1,4 => UNS
* INC # G7: 8 # C2: 1,4 => UNS
* INC # G7: 8 # G2: 1,4 => UNS
* INC # G7: 8 # E5: 1,4 => UNS
* INC # G7: 8 # E5: 5 => UNS
* INC # G7: 8 # H6: 8,9 => UNS
* INC # G7: 8 # H6: 1,2,4,5,7 => UNS
* INC # G7: 8 # I6: 8,9 => UNS
* INC # G7: 8 # I6: 1,2,4,5 => UNS
* INC # G7: 8 => UNS
* INC # H7: 8 # H8: 3,4 => UNS
* INC # H7: 8 # I8: 3,4 => UNS
* INC # H7: 8 # H9: 3,4 => UNS
* INC # H7: 8 # I9: 3,4 => UNS
* INC # H7: 8 # C7: 3,4 => UNS
* INC # H7: 8 # F7: 3,4 => UNS
* INC # H7: 8 # G2: 3,4 => UNS
* INC # H7: 8 # G3: 3,4 => UNS
* INC # H7: 8 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for H2,I2: 9..:

* INC # I2: 9 => UNS
* INC # H2: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B8,E8: 7..:

* INC # B8: 7 # A8: 3,4 => UNS
* INC # B8: 7 # A9: 3,4 => UNS
* INC # B8: 7 # C9: 3,4 => UNS
* INC # B8: 7 # F7: 3,4 => UNS
* INC # B8: 7 # G7: 3,4 => UNS
* INC # B8: 7 # H7: 3,4 => UNS
* INC # B8: 7 # C1: 3,4 => UNS
* INC # B8: 7 # C2: 3,4 => UNS
* INC # B8: 7 # D8: 4,5 => UNS
* INC # B8: 7 # D9: 4,5 => UNS
* INC # B8: 7 # A8: 4,5 => UNS
* INC # B8: 7 # H8: 4,5 => UNS
* INC # B8: 7 # I8: 4,5 => UNS
* INC # B8: 7 # E5: 4,5 => UNS
* INC # B8: 7 # E5: 1 => UNS
* INC # B8: 7 => UNS
* INC # E8: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for C4,H4: 7..:

* INC # C4: 7 # B5: 1,2 => UNS
* INC # C4: 7 # B6: 1,2 => UNS
* INC # C4: 7 # F6: 1,2 => UNS
* INC # C4: 7 # G6: 1,2 => UNS
* INC # C4: 7 # I6: 1,2 => UNS
* INC # C4: 7 # C1: 1,2 => UNS
* INC # C4: 7 # C2: 1,2 => UNS
* INC # C4: 7 # A8: 3,4 => UNS
* INC # C4: 7 # A9: 3,4 => UNS
* INC # C4: 7 # C9: 3,4 => UNS
* INC # C4: 7 # F7: 3,4 => UNS
* INC # C4: 7 # G7: 3,4 => UNS
* INC # C4: 7 # H7: 3,4 => UNS
* INC # C4: 7 # C1: 3,4 => UNS
* INC # C4: 7 # C2: 3,4 => UNS
* INC # C4: 7 => UNS
* INC # H4: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for E7,E8: 7..:

* INC # E7: 7 # A8: 3,4 => UNS
* INC # E7: 7 # A9: 3,4 => UNS
* INC # E7: 7 # C9: 3,4 => UNS
* INC # E7: 7 # F7: 3,4 => UNS
* INC # E7: 7 # G7: 3,4 => UNS
* INC # E7: 7 # H7: 3,4 => UNS
* INC # E7: 7 # C1: 3,4 => UNS
* INC # E7: 7 # C2: 3,4 => UNS
* INC # E7: 7 # D8: 4,5 => UNS
* INC # E7: 7 # D9: 4,5 => UNS
* INC # E7: 7 # A8: 4,5 => UNS
* INC # E7: 7 # H8: 4,5 => UNS
* INC # E7: 7 # I8: 4,5 => UNS
* INC # E7: 7 # E5: 4,5 => UNS
* INC # E7: 7 # E5: 1 => UNS
* INC # E7: 7 => UNS
* INC # E8: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H4,H6: 7..:

* INC # H6: 7 # B5: 1,2 => UNS
* INC # H6: 7 # B6: 1,2 => UNS
* INC # H6: 7 # F6: 1,2 => UNS
* INC # H6: 7 # G6: 1,2 => UNS
* INC # H6: 7 # I6: 1,2 => UNS
* INC # H6: 7 # C1: 1,2 => UNS
* INC # H6: 7 # C2: 1,2 => UNS
* INC # H6: 7 # A8: 3,4 => UNS
* INC # H6: 7 # A9: 3,4 => UNS
* INC # H6: 7 # C9: 3,4 => UNS
* INC # H6: 7 # F7: 3,4 => UNS
* INC # H6: 7 # G7: 3,4 => UNS
* INC # H6: 7 # H7: 3,4 => UNS
* INC # H6: 7 # C1: 3,4 => UNS
* INC # H6: 7 # C2: 3,4 => UNS
* INC # H6: 7 => UNS
* INC # H4: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for E3,G3: 8..:

* INC # E3: 8 # F1: 1,4 => UNS
* INC # E3: 8 # F3: 1,4 => UNS
* INC # E3: 8 # C2: 1,4 => UNS
* INC # E3: 8 # G2: 1,4 => UNS
* INC # E3: 8 # H2: 1,4 => UNS
* INC # E3: 8 # I2: 1,4 => UNS
* INC # E3: 8 # E5: 1,4 => UNS
* INC # E3: 8 # E5: 5 => UNS
* INC # E3: 8 => UNS
* INC # G3: 8 # H8: 3,4 => UNS
* INC # G3: 8 # I8: 3,4 => UNS
* INC # G3: 8 # H9: 3,4 => UNS
* INC # G3: 8 # I9: 3,4 => UNS
* INC # G3: 8 # C7: 3,4 => UNS
* INC # G3: 8 # F7: 3,4 => UNS
* INC # G3: 8 # G2: 3,4 => UNS
* INC # G3: 8 # G2: 1,2 => UNS
* INC # G3: 8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for E2,E3: 8..:

* INC # E2: 8 # H8: 3,4 => UNS
* INC # E2: 8 # I8: 3,4 => UNS
* INC # E2: 8 # H9: 3,4 => UNS
* INC # E2: 8 # I9: 3,4 => UNS
* INC # E2: 8 # C7: 3,4 => UNS
* INC # E2: 8 # F7: 3,4 => UNS
* INC # E2: 8 # G2: 3,4 => UNS
* INC # E2: 8 # G2: 1,2 => UNS
* INC # E2: 8 => UNS
* INC # E3: 8 # F1: 1,4 => UNS
* INC # E3: 8 # F3: 1,4 => UNS
* INC # E3: 8 # C2: 1,4 => UNS
* INC # E3: 8 # G2: 1,4 => UNS
* INC # E3: 8 # H2: 1,4 => UNS
* INC # E3: 8 # I2: 1,4 => UNS
* INC # E3: 8 # E5: 1,4 => UNS
* INC # E3: 8 # E5: 5 => UNS
* INC # E3: 8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D3,D9: 9..:

* INC # D9: 9 # D8: 3,4 => UNS
* INC # D9: 9 # D8: 5 => UNS
* INC # D9: 9 # C7: 3,4 => UNS
* INC # D9: 9 # G7: 3,4 => UNS
* INC # D9: 9 # H7: 3,4 => UNS
* INC # D9: 9 # F1: 3,4 => UNS
* PRF # D9: 9 # F3: 3,4 => SOL
* STA # D9: 9 + F3: 3,4
* CNT   7 HDP CHAINS /   8 HYP OPENED