Analysis of xx-ph-02488660-2019_08_05_a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75..4......6..9.758....7.69...49..3.......2..6..1......7...4.86......3.. initial

Autosolve

position: 98.7..6..75..4......6..9.758....7.69...49..3.......2..6..1......7...4.86......3.. 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

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for B5,F5: 6..:

* DIS # F5: 6 => CTR => F5: 1,2,5,8
* STA F5: 1,2,5,8
* CNT   1 HDP CHAINS /   2 HYP OPENED

List of important HDP chains detected for B5,B6: 6..:

* DIS # B6: 6 => CTR => B6: 1,3,4,9
* STA B6: 1,3,4,9
* CNT   1 HDP CHAINS /   2 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

98.7..6..75..4......6..9.758....7.69...49..3.......2..6..1......7...4.86......3.. initial
98.7..6..75..4......6..9.758....7.69...49..3.......2..6..1......7...4.86......3.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 3.. / I1 = 3  =>  0 pairs (_) / I2 = 3  =>  1 pairs (_)
E1,F1: 5.. / E1 = 5  =>  1 pairs (_) / F1 = 5  =>  0 pairs (_)
D2,F2: 6.. / D2 = 6  =>  0 pairs (_) / F2 = 6  =>  0 pairs (_)
B5,B6: 6.. / B5 = 6  =>  0 pairs (_) / B6 = 6  =>  0 pairs (X)
B5,F5: 6.. / B5 = 6  =>  0 pairs (_) / F5 = 6  =>  0 pairs (X)
E6,E9: 6.. / E6 = 6  =>  0 pairs (_) / E9 = 6  =>  2 pairs (_)
C5,C6: 7.. / C5 = 7  =>  2 pairs (_) / C6 = 7  =>  0 pairs (_)
E7,E9: 7.. / E7 = 7  =>  2 pairs (_) / E9 = 7  =>  0 pairs (_)
C6,I6: 7.. / C6 = 7  =>  0 pairs (_) / I6 = 7  =>  2 pairs (_)
E9,I9: 7.. / E9 = 7  =>  0 pairs (_) / I9 = 7  =>  2 pairs (_)
G5,G7: 7.. / G5 = 7  =>  1 pairs (_) / G7 = 7  =>  1 pairs (_)
C7,C9: 8.. / C7 = 8  =>  0 pairs (_) / C9 = 8  =>  0 pairs (_)
G2,H2: 9.. / G2 = 9  =>  2 pairs (_) / H2 = 9  =>  1 pairs (_)
B6,C6: 9.. / B6 = 9  =>  0 pairs (_) / C6 = 9  =>  2 pairs (_)
D8,D9: 9.. / D8 = 9  =>  1 pairs (_) / D9 = 9  =>  0 pairs (_)
* DURATION: 0:00:10.031015  START: 12:17:23.226305  END: 12:17:33.257320 2020-10-25
* CP COUNT: (15)
* CLUE FOUND

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G2,H2: 9.. / G2 = 9 ==>  2 pairs (_) / H2 = 9 ==>  1 pairs (_)
B6,C6: 9.. / B6 = 9 ==>  0 pairs (_) / C6 = 9 ==>  2 pairs (_)
E9,I9: 7.. / E9 = 7 ==>  0 pairs (_) / I9 = 7 ==>  2 pairs (_)
C6,I6: 7.. / C6 = 7 ==>  0 pairs (_) / I6 = 7 ==>  2 pairs (_)
E7,E9: 7.. / E7 = 7 ==>  2 pairs (_) / E9 = 7 ==>  0 pairs (_)
C5,C6: 7.. / C5 = 7 ==>  2 pairs (_) / C6 = 7 ==>  0 pairs (_)
E6,E9: 6.. / E6 = 6 ==>  0 pairs (_) / E9 = 6 ==>  2 pairs (_)
G5,G7: 7.. / G5 = 7 ==>  1 pairs (_) / G7 = 7 ==>  1 pairs (_)
D8,D9: 9.. / D8 = 9 ==>  1 pairs (_) / D9 = 9 ==>  0 pairs (_)
E1,F1: 5.. / E1 = 5 ==>  1 pairs (_) / F1 = 5 ==>  0 pairs (_)
I1,I2: 3.. / I1 = 3 ==>  0 pairs (_) / I2 = 3 ==>  1 pairs (_)
C7,C9: 8.. / C7 = 8 ==>  0 pairs (_) / C9 = 8 ==>  0 pairs (_)
B5,F5: 6.. / B5 = 6 ==>  0 pairs (_) / F5 = 6  =>  0 pairs (X)
B5,B6: 6.. / B5 = 6 ==>  0 pairs (_) / B6 = 6  =>  0 pairs (X)
D2,F2: 6.. / D2 = 6 ==>  0 pairs (_) / F2 = 6 ==>  0 pairs (_)
* DURATION: 0:01:12.370809  START: 12:17:33.257942  END: 12:18:45.628751 2020-10-25
* REASONING B5,F5: 6..
* DIS # F5: 6 => CTR => F5: 1,2,5,8
* STA F5: 1,2,5,8
* CNT   1 HDP CHAINS /   2 HYP OPENED
* REASONING B5,B6: 6..
* DIS # B6: 6 => CTR => B6: 1,3,4,9
* STA B6: 1,3,4,9
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (15)
* CLUE FOUND

Header Info

2488660;2019_08_05_a;PAQ;26;11.40;7.20;7.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G2,H2: 9..:

* INC # G2: 9 # H1: 1,2 => UNS
* INC # G2: 9 # I1: 1,2 => UNS
* INC # G2: 9 # I2: 1,2 => UNS
* INC # G2: 9 # C2: 1,2 => UNS
* INC # G2: 9 # F2: 1,2 => UNS
* INC # G2: 9 # H9: 1,2 => UNS
* INC # G2: 9 # H9: 4,5,9 => UNS
* INC # G2: 9 # H9: 1,5 => UNS
* INC # G2: 9 # H9: 2,4,9 => UNS
* INC # G2: 9 # A8: 1,5 => UNS
* INC # G2: 9 # C8: 1,5 => UNS
* INC # G2: 9 # G4: 1,5 => UNS
* INC # G2: 9 # G5: 1,5 => UNS
* INC # G2: 9 => UNS
* INC # H2: 9 # I2: 1,8 => UNS
* INC # H2: 9 # G3: 1,8 => UNS
* INC # H2: 9 # F2: 1,8 => UNS
* INC # H2: 9 # F2: 2,3,6 => UNS
* INC # H2: 9 # G5: 1,8 => UNS
* INC # H2: 9 # G5: 5,7 => UNS
* INC # H2: 9 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for B6,C6: 9..:

* INC # C6: 9 # G5: 1,8 => UNS
* INC # C6: 9 # G5: 5 => UNS
* INC # C6: 9 # I2: 1,8 => UNS
* INC # C6: 9 # I2: 2,3 => UNS
* INC # C6: 9 # H7: 2,4 => UNS
* INC # C6: 9 # H9: 2,4 => UNS
* INC # C6: 9 # I9: 2,4 => UNS
* INC # C6: 9 # B7: 2,4 => UNS
* INC # C6: 9 # C7: 2,4 => UNS
* INC # C6: 9 # I1: 2,4 => UNS
* INC # C6: 9 # I1: 1,3 => UNS
* INC # C6: 9 => UNS
* INC # B6: 9 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for E9,I9: 7..:

* INC # I9: 7 # I6: 1,8 => UNS
* INC # I9: 7 # I6: 4 => UNS
* INC # I9: 7 # F5: 1,8 => UNS
* INC # I9: 7 # F5: 2,5 => UNS
* INC # I9: 7 # H7: 2,4 => UNS
* INC # I9: 7 # H9: 2,4 => UNS
* INC # I9: 7 # B7: 2,4 => UNS
* INC # I9: 7 # C7: 2,4 => UNS
* INC # I9: 7 # I1: 2,4 => UNS
* INC # I9: 7 # I1: 1,3 => UNS
* INC # I9: 7 => UNS
* INC # E9: 7 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for C6,I6: 7..:

* INC # I6: 7 # G5: 1,8 => UNS
* INC # I6: 7 # G5: 5 => UNS
* INC # I6: 7 # I2: 1,8 => UNS
* INC # I6: 7 # I2: 2,3 => UNS
* INC # I6: 7 # H7: 2,4 => UNS
* INC # I6: 7 # H9: 2,4 => UNS
* INC # I6: 7 # I9: 2,4 => UNS
* INC # I6: 7 # B7: 2,4 => UNS
* INC # I6: 7 # C7: 2,4 => UNS
* INC # I6: 7 # I1: 2,4 => UNS
* INC # I6: 7 # I1: 1,3 => UNS
* INC # I6: 7 => UNS
* INC # C6: 7 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for E7,E9: 7..:

* INC # E7: 7 # I6: 1,8 => UNS
* INC # E7: 7 # I6: 4 => UNS
* INC # E7: 7 # F5: 1,8 => UNS
* INC # E7: 7 # F5: 2,5 => UNS
* INC # E7: 7 # H7: 2,4 => UNS
* INC # E7: 7 # H9: 2,4 => UNS
* INC # E7: 7 # B7: 2,4 => UNS
* INC # E7: 7 # C7: 2,4 => UNS
* INC # E7: 7 # I1: 2,4 => UNS
* INC # E7: 7 # I1: 1,3 => UNS
* INC # E7: 7 => UNS
* INC # E9: 7 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for C5,C6: 7..:

* INC # C5: 7 # G5: 1,8 => UNS
* INC # C5: 7 # G5: 5 => UNS
* INC # C5: 7 # I2: 1,8 => UNS
* INC # C5: 7 # I2: 2,3 => UNS
* INC # C5: 7 # H7: 2,4 => UNS
* INC # C5: 7 # H9: 2,4 => UNS
* INC # C5: 7 # I9: 2,4 => UNS
* INC # C5: 7 # B7: 2,4 => UNS
* INC # C5: 7 # C7: 2,4 => UNS
* INC # C5: 7 # I1: 2,4 => UNS
* INC # C5: 7 # I1: 1,3 => UNS
* INC # C5: 7 => UNS
* INC # C6: 7 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for E6,E9: 6..:

* INC # E9: 6 # I6: 1,8 => UNS
* INC # E9: 6 # I6: 4 => UNS
* INC # E9: 6 # F5: 1,8 => UNS
* INC # E9: 6 # F5: 2,5 => UNS
* INC # E9: 6 # H7: 2,4 => UNS
* INC # E9: 6 # H9: 2,4 => UNS
* INC # E9: 6 # B7: 2,4 => UNS
* INC # E9: 6 # C7: 2,4 => UNS
* INC # E9: 6 # I1: 2,4 => UNS
* INC # E9: 6 # I1: 1,3 => UNS
* INC # E9: 6 => UNS
* INC # E6: 6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for G5,G7: 7..:

* INC # G5: 7 # I6: 1,8 => UNS
* INC # G5: 7 # I6: 4 => UNS
* INC # G5: 7 # F5: 1,8 => UNS
* INC # G5: 7 # F5: 2,5 => UNS
* INC # G5: 7 => UNS
* INC # G7: 7 # H7: 2,4 => UNS
* INC # G7: 7 # H9: 2,4 => UNS
* INC # G7: 7 # I9: 2,4 => UNS
* INC # G7: 7 # B7: 2,4 => UNS
* INC # G7: 7 # C7: 2,4 => UNS
* INC # G7: 7 # I1: 2,4 => UNS
* INC # G7: 7 # I1: 1,3 => UNS
* INC # G7: 7 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for D8,D9: 9..:

* INC # D8: 9 # H9: 1,5 => UNS
* INC # D8: 9 # H9: 2,4,9 => UNS
* INC # D8: 9 # A8: 1,5 => UNS
* INC # D8: 9 # C8: 1,5 => UNS
* INC # D8: 9 # G4: 1,5 => UNS
* INC # D8: 9 # G5: 1,5 => UNS
* INC # D8: 9 => UNS
* INC # D9: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E1,F1: 5..:

* INC # E1: 5 # E7: 2,3 => UNS
* INC # E1: 5 # F7: 2,3 => UNS
* INC # E1: 5 # D8: 2,3 => UNS
* INC # E1: 5 # A8: 2,3 => UNS
* INC # E1: 5 # C8: 2,3 => UNS
* INC # E1: 5 # E3: 2,3 => UNS
* INC # E1: 5 # E4: 2,3 => UNS
* INC # E1: 5 => UNS
* INC # F1: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for I1,I2: 3..:

* INC # I2: 3 # C1: 1,2 => UNS
* INC # I2: 3 # A3: 1,2 => UNS
* INC # I2: 3 # B3: 1,2 => UNS
* INC # I2: 3 # F2: 1,2 => UNS
* INC # I2: 3 # H2: 1,2 => UNS
* INC # I2: 3 # C4: 1,2 => UNS
* INC # I2: 3 # C5: 1,2 => UNS
* INC # I2: 3 # C8: 1,2 => UNS
* INC # I2: 3 # C9: 1,2 => UNS
* INC # I2: 3 => UNS
* INC # I1: 3 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for C7,C9: 8..:

* INC # C7: 8 => UNS
* INC # C9: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B5,F5: 6..:

* INC # B5: 6 => UNS
* DIS # F5: 6 => CTR => F5: 1,2,5,8
* STA F5: 1,2,5,8
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B5,B6: 6..:

* INC # B5: 6 => UNS
* DIS # B6: 6 => CTR => B6: 1,3,4,9
* STA B6: 1,3,4,9
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D2,F2: 6..:

* INC # D2: 6 => UNS
* INC # F2: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED