Analysis of xx-ph-00845072-13_02-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 initial

Autosolve

position: 98.7..6..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 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

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: 0:00:29.147611

List of important HDP chains detected for I2,I7: 9..:

* DIS # I7: 9 # G4: 5,7 # E1: 2,5 => CTR => E1: 1,3,4
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 # F1: 2,5 => CTR => F1: 1,4
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # F4: 1,4 => CTR => F4: 8
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 # C1: 1,4 => CTR => C1: 2,3
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 + C1: 2,3 => CTR => G4: 1
* DIS # I7: 9 + G4: 1 # G3: 3,7 => CTR => G3: 5
* DIS # I7: 9 + G4: 1 + G3: 5 # C9: 4,7 => CTR => C9: 9
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 8 => CTR => E7: 3,4
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 # C1: 3,4 => CTR => C1: 2
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 + C1: 2 => CTR => I7: 2,3,4,5,6
* STA I7: 2,3,4,5,6
* CNT  10 HDP CHAINS /  41 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..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 initial
98.7..6..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,F8: 1.. / D8 = 1  =>  1 pairs (_) / F8 = 1  =>  0 pairs (_)
F5,E6: 2.. / F5 = 2  =>  2 pairs (_) / E6 = 2  =>  1 pairs (_)
H5,I5: 3.. / H5 = 3  =>  3 pairs (_) / I5 = 3  =>  1 pairs (_)
I7,I8: 4.. / I7 = 4  =>  0 pairs (_) / I8 = 4  =>  1 pairs (_)
B5,B6: 5.. / B5 = 5  =>  1 pairs (_) / B6 = 5  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  0 pairs (_) / A9 = 8  =>  0 pairs (_)
H2,H6: 8.. / H2 = 8  =>  0 pairs (_) / H6 = 8  =>  1 pairs (_)
H2,I2: 9.. / H2 = 9  =>  4 pairs (_) / I2 = 9  =>  0 pairs (_)
B6,C6: 9.. / B6 = 9  =>  1 pairs (_) / C6 = 9  =>  0 pairs (_)
B6,B9: 9.. / B6 = 9  =>  1 pairs (_) / B9 = 9  =>  0 pairs (_)
I2,I7: 9.. / I2 = 9  =>  0 pairs (_) / I7 = 9  =>  4 pairs (_)
* DURATION: 0:00:06.862343  START: 09:28:15.651030  END: 09:28:22.513373 2021-01-01
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I2,I7: 9.. / I2 = 9 ==>  0 pairs (_) / I7 = 9 ==>  4 pairs (_)
H2,I2: 9.. / H2 = 9 ==>  4 pairs (_) / I2 = 9 ==>  0 pairs (_)
H5,I5: 3.. / H5 = 3 ==>  3 pairs (_) / I5 = 3 ==>  1 pairs (_)
F5,E6: 2.. / F5 = 2 ==>  2 pairs (_) / E6 = 2 ==>  1 pairs (_)
B5,B6: 5.. / B5 = 5 ==>  1 pairs (_) / B6 = 5 ==>  1 pairs (_)
B6,B9: 9.. / B6 = 9 ==>  1 pairs (_) / B9 = 9 ==>  0 pairs (_)
B6,C6: 9.. / B6 = 9 ==>  1 pairs (_) / C6 = 9 ==>  0 pairs (_)
H2,H6: 8.. / H2 = 8 ==>  0 pairs (_) / H6 = 8 ==>  1 pairs (_)
I7,I8: 4.. / I7 = 4 ==>  0 pairs (_) / I8 = 4 ==>  1 pairs (_)
D8,F8: 1.. / D8 = 1 ==>  1 pairs (_) / F8 = 1 ==>  0 pairs (_)
A7,A9: 8.. / A7 = 8 ==>  0 pairs (_) / A9 = 8 ==>  0 pairs (_)
* DURATION: 0:01:01.092631  START: 09:28:22.513979  END: 09:29:23.606610 2021-01-01
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
I2,I7: 9.. / I2 = 9  =>  0 pairs (_) / I7 = 9 ==>  0 pairs (X)
* DURATION: 0:00:29.143409  START: 09:29:23.753765  END: 09:29:52.897174 2021-01-01
* REASONING I2,I7: 9..
* DIS # I7: 9 # G4: 5,7 # E1: 2,5 => CTR => E1: 1,3,4
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 # F1: 2,5 => CTR => F1: 1,4
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # F4: 1,4 => CTR => F4: 8
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 # C1: 1,4 => CTR => C1: 2,3
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 + C1: 2,3 => CTR => G4: 1
* DIS # I7: 9 + G4: 1 # G3: 3,7 => CTR => G3: 5
* DIS # I7: 9 + G4: 1 + G3: 5 # C9: 4,7 => CTR => C9: 9
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 8 => CTR => E7: 3,4
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 # C1: 3,4 => CTR => C1: 2
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 + C1: 2 => CTR => I7: 2,3,4,5,6
* STA I7: 2,3,4,5,6
* CNT  10 HDP CHAINS /  41 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

845072;13_02;GP;25;11.30;11.10;7.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I2,I7: 9..:

* INC # I7: 9 # G4: 5,7 => UNS
* INC # I7: 9 # I6: 5,7 => UNS
* INC # I7: 9 # I3: 5,7 => UNS
* INC # I7: 9 # I3: 2,3,8 => UNS
* INC # I7: 9 # B9: 3,4 => UNS
* INC # I7: 9 # C9: 3,4 => UNS
* INC # I7: 9 # D7: 3,4 => UNS
* INC # I7: 9 # E7: 3,4 => UNS
* INC # I7: 9 # C1: 3,4 => UNS
* INC # I7: 9 # C2: 3,4 => UNS
* INC # I7: 9 # D8: 1,6 => UNS
* INC # I7: 9 # D8: 3 => UNS
* INC # I7: 9 # F5: 1,6 => UNS
* INC # I7: 9 # F5: 2,4,5 => UNS
* INC # I7: 9 # H7: 3,5 => UNS
* INC # I7: 9 # H9: 3,5 => UNS
* INC # I7: 9 # E9: 3,5 => UNS
* INC # I7: 9 # E9: 4,8 => UNS
* INC # I7: 9 # G3: 3,5 => UNS
* INC # I7: 9 # G3: 1,7 => UNS
* INC # I7: 9 => UNS
* INC # I2: 9 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

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

* INC # H2: 9 # G4: 5,7 => UNS
* INC # H2: 9 # I6: 5,7 => UNS
* INC # H2: 9 # I3: 5,7 => UNS
* INC # H2: 9 # I3: 2,3,8 => UNS
* INC # H2: 9 # B9: 3,4 => UNS
* INC # H2: 9 # C9: 3,4 => UNS
* INC # H2: 9 # D7: 3,4 => UNS
* INC # H2: 9 # E7: 3,4 => UNS
* INC # H2: 9 # C1: 3,4 => UNS
* INC # H2: 9 # C2: 3,4 => UNS
* INC # H2: 9 # D8: 1,6 => UNS
* INC # H2: 9 # D8: 3 => UNS
* INC # H2: 9 # F5: 1,6 => UNS
* INC # H2: 9 # F5: 2,4,5 => UNS
* INC # H2: 9 # H7: 3,5 => UNS
* INC # H2: 9 # H9: 3,5 => UNS
* INC # H2: 9 # E9: 3,5 => UNS
* INC # H2: 9 # E9: 4,8 => UNS
* INC # H2: 9 # G3: 3,5 => UNS
* INC # H2: 9 # G3: 1,7 => UNS
* INC # H2: 9 => UNS
* INC # I2: 9 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H5,I5: 3..:

* INC # H5: 3 # G3: 1,5 => UNS
* INC # H5: 3 # G3: 2,3,7 => UNS
* INC # H5: 3 # E1: 1,5 => UNS
* INC # H5: 3 # F1: 1,5 => UNS
* INC # H5: 3 # H6: 1,5 => UNS
* INC # H5: 3 # H6: 6,7,8 => UNS
* INC # H5: 3 # H6: 5,6 => UNS
* INC # H5: 3 # I6: 5,6 => UNS
* INC # H5: 3 # D5: 5,6 => UNS
* INC # H5: 3 # F5: 5,6 => UNS
* INC # H5: 3 # I7: 5,6 => UNS
* INC # H5: 3 # I7: 2,3,4,9 => UNS
* INC # H5: 3 # I8: 6,7 => UNS
* INC # H5: 3 # H9: 6,7 => UNS
* INC # H5: 3 # A8: 6,7 => UNS
* INC # H5: 3 # A8: 2,4 => UNS
* INC # H5: 3 # H6: 6,7 => UNS
* INC # H5: 3 # H6: 1,5,8 => UNS
* INC # H5: 3 => UNS
* INC # I5: 3 # G3: 2,5 => UNS
* INC # I5: 3 # I3: 2,5 => UNS
* INC # I5: 3 # E1: 2,5 => UNS
* INC # I5: 3 # F1: 2,5 => UNS
* INC # I5: 3 # I7: 2,5 => UNS
* INC # I5: 3 # I7: 4,6,9 => UNS
* INC # I5: 3 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F5,E6: 2..:

* INC # F5: 2 # C4: 1,4 => UNS
* INC # F5: 2 # C4: 7 => UNS
* INC # F5: 2 # D5: 1,4 => UNS
* INC # F5: 2 # D5: 5,6 => UNS
* INC # F5: 2 # D5: 4,5 => UNS
* INC # F5: 2 # D5: 1,6 => UNS
* INC # F5: 2 => UNS
* INC # E6: 2 # C4: 1,7 => UNS
* INC # E6: 2 # C6: 1,7 => UNS
* INC # E6: 2 # H6: 1,7 => UNS
* INC # E6: 2 # H6: 5,6,8 => UNS
* INC # E6: 2 # A3: 1,7 => UNS
* INC # E6: 2 # A3: 2 => UNS
* INC # E6: 2 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B5,B6: 5..:

* INC # B5: 5 # H5: 3,6 => UNS
* INC # B5: 5 # H5: 1 => UNS
* INC # B5: 5 # I7: 3,6 => UNS
* INC # B5: 5 # I8: 3,6 => UNS
* INC # B5: 5 => UNS
* INC # B6: 5 # A5: 2,4 => UNS
* INC # B6: 5 # A5: 1 => UNS
* INC # B6: 5 # F5: 2,4 => UNS
* INC # B6: 5 # F5: 1,5,6 => UNS
* INC # B6: 5 # B2: 2,4 => UNS
* INC # B6: 5 # B8: 2,4 => UNS
* INC # B6: 5 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for B6,B9: 9..:

* INC # B6: 9 # H5: 3,6 => UNS
* INC # B6: 9 # H5: 1 => UNS
* INC # B6: 9 # I7: 3,6 => UNS
* INC # B6: 9 # I8: 3,6 => UNS
* INC # B6: 9 => UNS
* INC # B9: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

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

* INC # B6: 9 # H5: 3,6 => UNS
* INC # B6: 9 # H5: 1 => UNS
* INC # B6: 9 # I7: 3,6 => UNS
* INC # B6: 9 # I8: 3,6 => UNS
* INC # B6: 9 => UNS
* INC # C6: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H2,H6: 8..:

* INC # H6: 8 # G4: 5,7 => UNS
* INC # H6: 8 # I6: 5,7 => UNS
* INC # H6: 8 # I3: 5,7 => UNS
* INC # H6: 8 # I3: 2,3,8 => UNS
* INC # H6: 8 => UNS
* INC # H2: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I7,I8: 4..:

* INC # I8: 4 # D8: 1,6 => UNS
* INC # I8: 4 # D8: 3 => UNS
* INC # I8: 4 # F5: 1,6 => UNS
* INC # I8: 4 # F5: 2,4,5 => UNS
* INC # I8: 4 => UNS
* INC # I7: 4 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for D8,F8: 1..:

* INC # D8: 1 # D7: 4,6 => UNS
* INC # D8: 1 # F9: 4,6 => UNS
* INC # D8: 1 # A8: 4,6 => UNS
* INC # D8: 1 # I8: 4,6 => UNS
* INC # D8: 1 # F5: 4,6 => UNS
* INC # D8: 1 # F5: 1,2,5 => UNS
* INC # D8: 1 => UNS
* INC # F8: 1 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A7,A9: 8..:

* INC # A7: 8 => UNS
* INC # A9: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for I2,I7: 9..:

* INC # I7: 9 # G4: 5,7 => UNS
* INC # I7: 9 # I6: 5,7 => UNS
* INC # I7: 9 # I3: 5,7 => UNS
* INC # I7: 9 # I3: 2,3,8 => UNS
* INC # I7: 9 # B9: 3,4 => UNS
* INC # I7: 9 # C9: 3,4 => UNS
* INC # I7: 9 # D7: 3,4 => UNS
* INC # I7: 9 # E7: 3,4 => UNS
* INC # I7: 9 # C1: 3,4 => UNS
* INC # I7: 9 # C2: 3,4 => UNS
* INC # I7: 9 # D8: 1,6 => UNS
* INC # I7: 9 # D8: 3 => UNS
* INC # I7: 9 # F5: 1,6 => UNS
* INC # I7: 9 # F5: 2,4,5 => UNS
* INC # I7: 9 # H7: 3,5 => UNS
* INC # I7: 9 # H9: 3,5 => UNS
* INC # I7: 9 # E9: 3,5 => UNS
* INC # I7: 9 # E9: 4,8 => UNS
* INC # I7: 9 # G3: 3,5 => UNS
* INC # I7: 9 # G3: 1,7 => UNS
* INC # I7: 9 # G4: 5,7 # G3: 3,5 => UNS
* INC # I7: 9 # G4: 5,7 # G3: 1,7 => UNS
* INC # I7: 9 # G4: 5,7 # E1: 3,5 => UNS
* INC # I7: 9 # G4: 5,7 # E1: 1,2,4 => UNS
* INC # I7: 9 # G4: 5,7 # H7: 3,5 => UNS
* INC # I7: 9 # G4: 5,7 # H9: 3,5 => UNS
* INC # I7: 9 # G4: 5,7 # I3: 2,5 => UNS
* INC # I7: 9 # G4: 5,7 # I3: 7,8 => UNS
* DIS # I7: 9 # G4: 5,7 # E1: 2,5 => CTR => E1: 1,3,4
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 # F1: 2,5 => CTR => F1: 1,4
* INC # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # E4: 1,4 => UNS
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # F4: 1,4 => CTR => F4: 8
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 # C1: 1,4 => CTR => C1: 2,3
* DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 + C1: 2,3 => CTR => G4: 1
* DIS # I7: 9 + G4: 1 # G3: 3,7 => CTR => G3: 5
* DIS # I7: 9 + G4: 1 + G3: 5 # C9: 4,7 => CTR => C9: 9
* INC # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 3,4 => UNS
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 8 => CTR => E7: 3,4
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 # C1: 3,4 => CTR => C1: 2
* DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 + C1: 2 => CTR => I7: 2,3,4,5,6
* INC I7: 2,3,4,5,6 # I2: 9 => UNS
* STA I7: 2,3,4,5,6
* CNT  41 HDP CHAINS /  41 HYP OPENED