Analysis of xx-ph-00035462-12_05-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...8......76.....4..5...3...8.7.5.......2..4.3...7..1..9.5.7.....1...2. initial

Autosolve

position: 98.7..6..5...8......76.....4..5...3...8.7.5.......2..4.3...7..1..9.5.7.....1...2. 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

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for B6,B9: 5..:

* DIS # B9: 5 # B3: 1,2 => CTR => B3: 4
* CNT   1 HDP CHAINS /  40 HYP OPENED

List of important HDP chains detected for B6,C6: 5..:

* DIS # C6: 5 # B3: 1,2 => CTR => B3: 4
* CNT   1 HDP CHAINS /  40 HYP OPENED

List of important HDP chains detected for C7,H7: 5..:

* DIS # C7: 5 # I2: 2,3 => CTR => I2: 7,9
* DIS # C7: 5 + I2: 7,9 # B8: 4,6 => CTR => B8: 1,2
* CNT   2 HDP CHAINS /  45 HYP OPENED

List of important HDP chains detected for H7,I9: 5..:

* DIS # I9: 5 # I2: 2,3 => CTR => I2: 7,9
* DIS # I9: 5 + I2: 7,9 # B8: 4,6 => CTR => B8: 1,2
* CNT   2 HDP CHAINS /  45 HYP OPENED

List of important HDP chains detected for B2,C2: 6..:

* DIS # C2: 6 # B4: 1,2 => CTR => B4: 6,7,9
* CNT   1 HDP CHAINS /  19 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:59.473095

List of important HDP chains detected for B6,B9: 5..:

* DIS # B9: 5 # B3: 1,2 => CTR => B3: 4
* DIS # B9: 5 + B3: 4 # C1: 1,2 # E1: 1,2 => CTR => E1: 3,4
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 # C4: 6 => CTR => C4: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 # G3: 1,2 => CTR => G3: 3,8,9
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 # E3: 3,9 => CTR => E3: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 # A8: 8 => CTR => A8: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 + A8: 1,2 # G2: 1,4 => CTR => G2: 2,9
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 + A8: 1,2 + G2: 2,9 => CTR => C1: 3
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 # G2: 1,2 => CTR => G2: 3,4,9
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 + G2: 3,4,9 # E3: 1,2 => CTR => E3: 3,9
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 + G2: 3,4,9 + E3: 3,9 => CTR => B2: 6
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 # G2: 1,2 => CTR => G2: 3,4,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 # C4: 6 => CTR => C4: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 # E3: 1,2 => CTR => E3: 3,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 # G3: 3,8,9 => CTR => G3: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 # A8: 8 => CTR => A8: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 # H2: 1,4 => CTR => H2: 7,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 + H2: 7,9 # E1: 1,4 => CTR => E1: 2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 + H2: 7,9 + E1: 2 => CTR => B9: 4,6,7
* STA B9: 4,6,7
* CNT  19 HDP CHAINS /  81 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...8......76.....4..5...3...8.7.5.......2..4.3...7..1..9.5.7.....1...2. initial
98.7..6..5...8......76.....4..5...3...8.7.5.......2..4.3...7..1..9.5.7.....1...2. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  1 pairs (_) / B8 = 1  =>  1 pairs (_)
D5,F5: 4.. / D5 = 4  =>  0 pairs (_) / F5 = 4  =>  1 pairs (_)
F1,F3: 5.. / F1 = 5  =>  2 pairs (_) / F3 = 5  =>  0 pairs (_)
B6,C6: 5.. / B6 = 5  =>  0 pairs (_) / C6 = 5  =>  3 pairs (_)
H7,I9: 5.. / H7 = 5  =>  1 pairs (_) / I9 = 5  =>  2 pairs (_)
C7,H7: 5.. / C7 = 5  =>  2 pairs (_) / H7 = 5  =>  1 pairs (_)
B6,B9: 5.. / B6 = 5  =>  0 pairs (_) / B9 = 5  =>  3 pairs (_)
B2,C2: 6.. / B2 = 6  =>  0 pairs (_) / C2 = 6  =>  2 pairs (_)
H2,I2: 7.. / H2 = 7  =>  2 pairs (_) / I2 = 7  =>  0 pairs (_)
I4,H6: 7.. / I4 = 7  =>  2 pairs (_) / H6 = 7  =>  0 pairs (_)
A9,B9: 7.. / A9 = 7  =>  0 pairs (_) / B9 = 7  =>  1 pairs (_)
B4,I4: 7.. / B4 = 7  =>  0 pairs (_) / I4 = 7  =>  2 pairs (_)
A6,A9: 7.. / A6 = 7  =>  1 pairs (_) / A9 = 7  =>  0 pairs (_)
H2,H6: 7.. / H2 = 7  =>  2 pairs (_) / H6 = 7  =>  0 pairs (_)
I2,I4: 7.. / I2 = 7  =>  0 pairs (_) / I4 = 7  =>  2 pairs (_)
F4,D6: 8.. / F4 = 8  =>  1 pairs (_) / D6 = 8  =>  1 pairs (_)
* DURATION: 0:00:11.052813  START: 21:00:37.955427  END: 21:00:49.008240 2020-10-20
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,B9: 5.. / B6 = 5 ==>  0 pairs (_) / B9 = 5 ==>  3 pairs (_)
B6,C6: 5.. / B6 = 5 ==>  0 pairs (_) / C6 = 5 ==>  3 pairs (_)
C7,H7: 5.. / C7 = 5 ==>  4 pairs (_) / H7 = 5 ==>  1 pairs (_)
H7,I9: 5.. / H7 = 5 ==>  1 pairs (_) / I9 = 5 ==>  4 pairs (_)
I2,I4: 7.. / I2 = 7 ==>  0 pairs (_) / I4 = 7 ==>  2 pairs (_)
H2,H6: 7.. / H2 = 7 ==>  2 pairs (_) / H6 = 7 ==>  0 pairs (_)
B4,I4: 7.. / B4 = 7 ==>  0 pairs (_) / I4 = 7 ==>  2 pairs (_)
I4,H6: 7.. / I4 = 7 ==>  2 pairs (_) / H6 = 7 ==>  0 pairs (_)
H2,I2: 7.. / H2 = 7 ==>  2 pairs (_) / I2 = 7 ==>  0 pairs (_)
B2,C2: 6.. / B2 = 6 ==>  0 pairs (_) / C2 = 6 ==>  2 pairs (_)
F1,F3: 5.. / F1 = 5 ==>  2 pairs (_) / F3 = 5 ==>  0 pairs (_)
F4,D6: 8.. / F4 = 8 ==>  1 pairs (_) / D6 = 8 ==>  1 pairs (_)
A8,B8: 1.. / A8 = 1 ==>  1 pairs (_) / B8 = 1 ==>  1 pairs (_)
A6,A9: 7.. / A6 = 7 ==>  1 pairs (_) / A9 = 7 ==>  0 pairs (_)
A9,B9: 7.. / A9 = 7 ==>  0 pairs (_) / B9 = 7 ==>  1 pairs (_)
D5,F5: 4.. / D5 = 4 ==>  0 pairs (_) / F5 = 4 ==>  1 pairs (_)
* DURATION: 0:02:16.385028  START: 21:00:49.008812  END: 21:03:05.393840 2020-10-20
* REASONING B6,B9: 5..
* DIS # B9: 5 # B3: 1,2 => CTR => B3: 4
* CNT   1 HDP CHAINS /  40 HYP OPENED
* REASONING B6,C6: 5..
* DIS # C6: 5 # B3: 1,2 => CTR => B3: 4
* CNT   1 HDP CHAINS /  40 HYP OPENED
* REASONING C7,H7: 5..
* DIS # C7: 5 # I2: 2,3 => CTR => I2: 7,9
* DIS # C7: 5 + I2: 7,9 # B8: 4,6 => CTR => B8: 1,2
* CNT   2 HDP CHAINS /  45 HYP OPENED
* REASONING H7,I9: 5..
* DIS # I9: 5 # I2: 2,3 => CTR => I2: 7,9
* DIS # I9: 5 + I2: 7,9 # B8: 4,6 => CTR => B8: 1,2
* CNT   2 HDP CHAINS /  45 HYP OPENED
* REASONING B2,C2: 6..
* DIS # C2: 6 # B4: 1,2 => CTR => B4: 6,7,9
* CNT   1 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B6,B9: 5.. / B6 = 5  =>  0 pairs (_) / B9 = 5 ==>  0 pairs (X)
* DURATION: 0:00:59.469055  START: 21:03:05.583817  END: 21:04:05.052872 2020-10-20
* REASONING B6,B9: 5..
* DIS # B9: 5 # B3: 1,2 => CTR => B3: 4
* DIS # B9: 5 + B3: 4 # C1: 1,2 # E1: 1,2 => CTR => E1: 3,4
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 # C4: 6 => CTR => C4: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 # G3: 1,2 => CTR => G3: 3,8,9
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 # E3: 3,9 => CTR => E3: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 # A8: 8 => CTR => A8: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 + A8: 1,2 # G2: 1,4 => CTR => G2: 2,9
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 + A8: 1,2 + G2: 2,9 => CTR => C1: 3
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 # G2: 1,2 => CTR => G2: 3,4,9
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 + G2: 3,4,9 # E3: 1,2 => CTR => E3: 3,9
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 + G2: 3,4,9 + E3: 3,9 => CTR => B2: 6
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 # G2: 1,2 => CTR => G2: 3,4,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 # C4: 6 => CTR => C4: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 # E3: 1,2 => CTR => E3: 3,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 # G3: 3,8,9 => CTR => G3: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 # A8: 8 => CTR => A8: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 # H2: 1,4 => CTR => H2: 7,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 + H2: 7,9 # E1: 1,4 => CTR => E1: 2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 + H2: 7,9 + E1: 2 => CTR => B9: 4,6,7
* STA B9: 4,6,7
* CNT  19 HDP CHAINS /  81 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

35462;12_05;GP;24;11.40;11.40;9.50

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,B9: 5..:

* INC # B9: 5 # C1: 1,2 => UNS
* INC # B9: 5 # B2: 1,2 => UNS
* INC # B9: 5 # C2: 1,2 => UNS
* DIS # B9: 5 # B3: 1,2 => CTR => B3: 4
* INC # B9: 5 + B3: 4 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 # C1: 1,2 => UNS
* INC # B9: 5 + B3: 4 # B2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # C2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # H2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # E1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # F1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # C7: 4,6 => UNS
* INC # B9: 5 + B3: 4 # C7: 2 => UNS
* INC # B9: 5 + B3: 4 # E9: 4,6 => UNS
* INC # B9: 5 + B3: 4 # F9: 4,6 => UNS
* INC # B9: 5 + B3: 4 # C1: 1,2 => UNS
* INC # B9: 5 + B3: 4 # B2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # C2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # H2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # E1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # F1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # C7: 4,6 => UNS
* INC # B9: 5 + B3: 4 # C7: 2 => UNS
* INC # B9: 5 + B3: 4 # E9: 4,6 => UNS
* INC # B9: 5 + B3: 4 # F9: 4,6 => UNS
* INC # B9: 5 + B3: 4 => UNS
* INC # B6: 5 => UNS
* CNT  40 HDP CHAINS /  40 HYP OPENED

Full list of HDP chains traversed for B6,C6: 5..:

* INC # C6: 5 # C1: 1,2 => UNS
* INC # C6: 5 # B2: 1,2 => UNS
* INC # C6: 5 # C2: 1,2 => UNS
* DIS # C6: 5 # B3: 1,2 => CTR => B3: 4
* INC # C6: 5 + B3: 4 # E3: 1,2 => UNS
* INC # C6: 5 + B3: 4 # G3: 1,2 => UNS
* INC # C6: 5 + B3: 4 # A5: 1,2 => UNS
* INC # C6: 5 + B3: 4 # A8: 1,2 => UNS
* INC # C6: 5 + B3: 4 # C1: 1,2 => UNS
* INC # C6: 5 + B3: 4 # B2: 1,2 => UNS
* INC # C6: 5 + B3: 4 # C2: 1,2 => UNS
* INC # C6: 5 + B3: 4 # E3: 1,2 => UNS
* INC # C6: 5 + B3: 4 # G3: 1,2 => UNS
* INC # C6: 5 + B3: 4 # A5: 1,2 => UNS
* INC # C6: 5 + B3: 4 # A8: 1,2 => UNS
* INC # C6: 5 + B3: 4 # G2: 1,4 => UNS
* INC # C6: 5 + B3: 4 # H2: 1,4 => UNS
* INC # C6: 5 + B3: 4 # E1: 1,4 => UNS
* INC # C6: 5 + B3: 4 # F1: 1,4 => UNS
* INC # C6: 5 + B3: 4 # C7: 4,6 => UNS
* INC # C6: 5 + B3: 4 # C7: 2 => UNS
* INC # C6: 5 + B3: 4 # E9: 4,6 => UNS
* INC # C6: 5 + B3: 4 # F9: 4,6 => UNS
* INC # C6: 5 + B3: 4 # C1: 1,2 => UNS
* INC # C6: 5 + B3: 4 # B2: 1,2 => UNS
* INC # C6: 5 + B3: 4 # C2: 1,2 => UNS
* INC # C6: 5 + B3: 4 # E3: 1,2 => UNS
* INC # C6: 5 + B3: 4 # G3: 1,2 => UNS
* INC # C6: 5 + B3: 4 # A5: 1,2 => UNS
* INC # C6: 5 + B3: 4 # A8: 1,2 => UNS
* INC # C6: 5 + B3: 4 # G2: 1,4 => UNS
* INC # C6: 5 + B3: 4 # H2: 1,4 => UNS
* INC # C6: 5 + B3: 4 # E1: 1,4 => UNS
* INC # C6: 5 + B3: 4 # F1: 1,4 => UNS
* INC # C6: 5 + B3: 4 # C7: 4,6 => UNS
* INC # C6: 5 + B3: 4 # C7: 2 => UNS
* INC # C6: 5 + B3: 4 # E9: 4,6 => UNS
* INC # C6: 5 + B3: 4 # F9: 4,6 => UNS
* INC # C6: 5 + B3: 4 => UNS
* INC # B6: 5 => UNS
* CNT  40 HDP CHAINS /  40 HYP OPENED

Full list of HDP chains traversed for C7,H7: 5..:

* INC # C7: 5 # G2: 2,3 => UNS
* DIS # C7: 5 # I2: 2,3 => CTR => I2: 7,9
* INC # C7: 5 + I2: 7,9 # G3: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # I3: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # C1: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # E1: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # G2: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # G3: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # I3: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # C1: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 # E1: 2,3 => UNS
* DIS # C7: 5 + I2: 7,9 # B8: 4,6 => CTR => B8: 1,2
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B9: 4,6 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B9: 4,6 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B9: 7 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # C2: 4,6 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # C2: 1,2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # G2: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # G3: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # I3: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # C1: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # E1: 2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # H2: 7,9 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # H2: 1,4 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # I4: 7,9 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # I4: 2,6,8 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # A8: 1,2 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # A8: 6,8 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B2: 1,2 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B3: 1,2 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B4: 1,2 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B5: 1,2 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B9: 4,6 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # B9: 7 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # C2: 4,6 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 # C2: 1,2,3 => UNS
* INC # C7: 5 + I2: 7,9 + B8: 1,2 => UNS
* INC # H7: 5 # G2: 1,4 => UNS
* INC # H7: 5 # H2: 1,4 => UNS
* INC # H7: 5 # G3: 1,4 => UNS
* INC # H7: 5 # H3: 1,4 => UNS
* INC # H7: 5 # C1: 1,4 => UNS
* INC # H7: 5 # E1: 1,4 => UNS
* INC # H7: 5 # F1: 1,4 => UNS
* INC # H7: 5 => UNS
* CNT  45 HDP CHAINS /  45 HYP OPENED

Full list of HDP chains traversed for H7,I9: 5..:

* INC # I9: 5 # G2: 2,3 => UNS
* DIS # I9: 5 # I2: 2,3 => CTR => I2: 7,9
* INC # I9: 5 + I2: 7,9 # G3: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # I3: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # C1: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # E1: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # G2: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # G3: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # I3: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # C1: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 # E1: 2,3 => UNS
* DIS # I9: 5 + I2: 7,9 # B8: 4,6 => CTR => B8: 1,2
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B9: 4,6 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B9: 4,6 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B9: 7 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # C2: 4,6 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # C2: 1,2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # G2: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # G3: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # I3: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # C1: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # E1: 2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # H2: 7,9 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # H2: 1,4 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # I4: 7,9 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # I4: 2,6,8 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # A8: 1,2 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # A8: 6,8 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B2: 1,2 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B3: 1,2 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B4: 1,2 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B5: 1,2 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B9: 4,6 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # B9: 7 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # C2: 4,6 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 # C2: 1,2,3 => UNS
* INC # I9: 5 + I2: 7,9 + B8: 1,2 => UNS
* INC # H7: 5 # G2: 1,4 => UNS
* INC # H7: 5 # H2: 1,4 => UNS
* INC # H7: 5 # G3: 1,4 => UNS
* INC # H7: 5 # H3: 1,4 => UNS
* INC # H7: 5 # C1: 1,4 => UNS
* INC # H7: 5 # E1: 1,4 => UNS
* INC # H7: 5 # F1: 1,4 => UNS
* INC # H7: 5 => UNS
* CNT  45 HDP CHAINS /  45 HYP OPENED

Full list of HDP chains traversed for I2,I4: 7..:

* INC # I4: 7 => UNS
* INC # I2: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H2,H6: 7..:

* INC # H2: 7 => UNS
* INC # H6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B4,I4: 7..:

* INC # I4: 7 => UNS
* INC # B4: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I4,H6: 7..:

* INC # I4: 7 => UNS
* INC # H6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H2,I2: 7..:

* INC # H2: 7 => UNS
* INC # I2: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B2,C2: 6..:

* DIS # C2: 6 # B4: 1,2 => CTR => B4: 6,7,9
* INC # C2: 6 + B4: 6,7,9 # A5: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # B5: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # G4: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # G4: 8,9 => UNS
* INC # C2: 6 + B4: 6,7,9 # C1: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # C1: 3,4 => UNS
* INC # C2: 6 + B4: 6,7,9 # C7: 4,5 => UNS
* INC # C2: 6 + B4: 6,7,9 # B9: 4,5 => UNS
* INC # C2: 6 + B4: 6,7,9 # A5: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # B5: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # G4: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # G4: 8,9 => UNS
* INC # C2: 6 + B4: 6,7,9 # C1: 1,2 => UNS
* INC # C2: 6 + B4: 6,7,9 # C1: 3,4 => UNS
* INC # C2: 6 + B4: 6,7,9 # C7: 4,5 => UNS
* INC # C2: 6 + B4: 6,7,9 # B9: 4,5 => UNS
* INC # C2: 6 + B4: 6,7,9 => UNS
* INC # B2: 6 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for F1,F3: 5..:

* INC # F1: 5 # G2: 1,4 => UNS
* INC # F1: 5 # H2: 1,4 => UNS
* INC # F1: 5 # G3: 1,4 => UNS
* INC # F1: 5 # H3: 1,4 => UNS
* INC # F1: 5 # C1: 1,4 => UNS
* INC # F1: 5 # E1: 1,4 => UNS
* INC # F1: 5 # G2: 2,3 => UNS
* INC # F1: 5 # I2: 2,3 => UNS
* INC # F1: 5 # G3: 2,3 => UNS
* INC # F1: 5 # I3: 2,3 => UNS
* INC # F1: 5 # C1: 2,3 => UNS
* INC # F1: 5 # E1: 2,3 => UNS
* INC # F1: 5 => UNS
* INC # F3: 5 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for F4,D6: 8..:

* INC # F4: 8 # D5: 3,9 => UNS
* INC # F4: 8 # F5: 3,9 => UNS
* INC # F4: 8 # E6: 3,9 => UNS
* INC # F4: 8 # D2: 3,9 => UNS
* INC # F4: 8 # D2: 2,4 => UNS
* INC # F4: 8 => UNS
* INC # D6: 8 # G4: 1,9 => UNS
* INC # D6: 8 # H5: 1,9 => UNS
* INC # D6: 8 # H6: 1,9 => UNS
* INC # D6: 8 # B6: 1,9 => UNS
* INC # D6: 8 # E6: 1,9 => UNS
* INC # D6: 8 # G2: 1,9 => UNS
* INC # D6: 8 # G3: 1,9 => UNS
* INC # D6: 8 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for A8,B8: 1..:

* INC # A8: 1 # C1: 2,3 => UNS
* INC # A8: 1 # C2: 2,3 => UNS
* INC # A8: 1 # E3: 2,3 => UNS
* INC # A8: 1 # G3: 2,3 => UNS
* INC # A8: 1 # I3: 2,3 => UNS
* INC # A8: 1 # A5: 2,3 => UNS
* INC # A8: 1 # A5: 6 => UNS
* INC # A8: 1 => UNS
* INC # B8: 1 # C1: 2,4 => UNS
* INC # B8: 1 # B2: 2,4 => UNS
* INC # B8: 1 # C2: 2,4 => UNS
* INC # B8: 1 # E3: 2,4 => UNS
* INC # B8: 1 # G3: 2,4 => UNS
* INC # B8: 1 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for A6,A9: 7..:

* INC # A6: 7 # A7: 6,8 => UNS
* INC # A6: 7 # A8: 6,8 => UNS
* INC # A6: 7 # F9: 6,8 => UNS
* INC # A6: 7 # I9: 6,8 => UNS
* INC # A6: 7 => UNS
* INC # A9: 7 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for A9,B9: 7..:

* INC # B9: 7 # A7: 6,8 => UNS
* INC # B9: 7 # A8: 6,8 => UNS
* INC # B9: 7 # F9: 6,8 => UNS
* INC # B9: 7 # I9: 6,8 => UNS
* INC # B9: 7 => UNS
* INC # A9: 7 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for D5,F5: 4..:

* INC # F5: 4 # D6: 3,9 => UNS
* INC # F5: 4 # E6: 3,9 => UNS
* INC # F5: 4 # D2: 3,9 => UNS
* INC # F5: 4 # D2: 2,4 => UNS
* INC # F5: 4 => UNS
* INC # D5: 4 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,B9: 5..:

* INC # B9: 5 # C1: 1,2 => UNS
* INC # B9: 5 # B2: 1,2 => UNS
* INC # B9: 5 # C2: 1,2 => UNS
* DIS # B9: 5 # B3: 1,2 => CTR => B3: 4
* INC # B9: 5 + B3: 4 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 # C1: 1,2 => UNS
* INC # B9: 5 + B3: 4 # B2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # C2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # H2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # E1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # F1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # C7: 4,6 => UNS
* INC # B9: 5 + B3: 4 # C7: 2 => UNS
* INC # B9: 5 + B3: 4 # E9: 4,6 => UNS
* INC # B9: 5 + B3: 4 # F9: 4,6 => UNS
* INC # B9: 5 + B3: 4 # C1: 1,2 => UNS
* INC # B9: 5 + B3: 4 # B2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # C2: 1,2 => UNS
* INC # B9: 5 + B3: 4 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 # G2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # H2: 1,4 => UNS
* INC # B9: 5 + B3: 4 # E1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # F1: 1,4 => UNS
* INC # B9: 5 + B3: 4 # C7: 4,6 => UNS
* INC # B9: 5 + B3: 4 # C7: 2 => UNS
* INC # B9: 5 + B3: 4 # E9: 4,6 => UNS
* INC # B9: 5 + B3: 4 # F9: 4,6 => UNS
* DIS # B9: 5 + B3: 4 # C1: 1,2 # E1: 1,2 => CTR => E1: 3,4
* INC # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 # C4: 1,2 => UNS
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 # C4: 6 => CTR => C4: 1,2
* INC # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 # E3: 1,2 => UNS
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 # G3: 1,2 => CTR => G3: 3,8,9
* INC # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 # E3: 1,2 => UNS
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 # E3: 3,9 => CTR => E3: 1,2
* INC # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 # A8: 1,2 => UNS
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 # A8: 8 => CTR => A8: 1,2
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 + A8: 1,2 # G2: 1,4 => CTR => G2: 2,9
* DIS # B9: 5 + B3: 4 # C1: 1,2 + E1: 3,4 + C4: 1,2 + G3: 3,8,9 + E3: 1,2 + A8: 1,2 + G2: 2,9 => CTR => C1: 3
* INC # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # C2: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # E3: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # A5: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # A8: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # G2: 1,4 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # H2: 1,4 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # E1: 1,4 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # F1: 1,4 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # I3: 2,5 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # I3: 3,8,9 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # C7: 4,6 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # C7: 2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # E9: 4,6 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 # F9: 4,6 => UNS
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 # G2: 1,2 => CTR => G2: 3,4,9
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 + G2: 3,4,9 # E3: 1,2 => CTR => E3: 3,9
* DIS # B9: 5 + B3: 4 + C1: 3 # B2: 1,2 + G2: 3,4,9 + E3: 3,9 => CTR => B2: 6
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 # G2: 1,2 => CTR => G2: 3,4,9
* INC # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 # C4: 1,2 => UNS
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 # C4: 6 => CTR => C4: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 # E3: 1,2 => CTR => E3: 3,9
* INC # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 # G3: 1,2 => UNS
* INC # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 # G3: 1,2 => UNS
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 # G3: 3,8,9 => CTR => G3: 1,2
* INC # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 # A8: 1,2 => UNS
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 # A8: 8 => CTR => A8: 1,2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 # H2: 1,4 => CTR => H2: 7,9
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 + H2: 7,9 # E1: 1,4 => CTR => E1: 2
* DIS # B9: 5 + B3: 4 + C1: 3 + B2: 6 + G2: 3,4,9 + C4: 1,2 + E3: 3,9 + G3: 1,2 + A8: 1,2 + H2: 7,9 + E1: 2 => CTR => B9: 4,6,7
* INC B9: 4,6,7 # B6: 5 => UNS
* STA B9: 4,6,7
* CNT  81 HDP CHAINS /  81 HYP OPENED