Analysis of xx-ph-00001169-782-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ....5.7..4....9.....81....6.8.....1.5...7.....3.6....2.....49.....3....8.12....3. initial

Autosolve

position: ....5.7..4....9.....81....6.8.....1.5...7.....3.6....2.....49.....3....8.12....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: 0:00:00.000017

List of important HDP chains detected for G9,I9: 4..:

* DIS # I9: 4 # I4: 3,9 => CTR => I4: 5,7
* CNT   1 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for B5,B8: 4..:

* DIS # B5: 4 # I4: 3,5 => CTR => I4: 4,7,9
* CNT   1 HDP CHAINS /  14 HYP OPENED

List of important HDP chains detected for B8,C8: 4..:

* DIS # C8: 4 # I4: 3,5 => CTR => I4: 4,7,9
* CNT   1 HDP CHAINS /  14 HYP OPENED

List of important HDP chains detected for D2,F3: 7..:

* DIS # D2: 7 # F1: 2,3 => CTR => F1: 6,8
* DIS # F3: 7 # E2: 2,8 => CTR => E2: 3,6
* CNT   2 HDP CHAINS /  42 HYP OPENED

List of important HDP chains detected for C5,F5: 1..:

* DIS # C5: 1 # A4: 7,9 => CTR => A4: 2,6
* CNT   1 HDP CHAINS /  23 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: 0:00:26.778704

List of important HDP chains detected for G9,I9: 4..:

* DIS # G9: 4 # H6: 5,8 # F1: 2,8 => CTR => F1: 3,6
* PRF # G9: 4 # H6: 5,8 + F1: 3,6 # C7: 5,7 => SOL
* STA # G9: 4 # H6: 5,8 + F1: 3,6 + C7: 5,7
* CNT   2 HDP CHAINS /  19 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

....5.7..4....9.....81....6.8.....1.5...7.....3.6....2.....49.....3....8.12....3. initial
....5.7..4....9.....81....6.8.....1.5...7.....3.6....2.....49.....3....8.12....3. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I7,G8: 1.. / I7 = 1  =>  1 pairs (_) / G8 = 1  =>  2 pairs (_)
C5,F5: 1.. / C5 = 1  =>  1 pairs (_) / F5 = 1  =>  1 pairs (_)
E7,I7: 1.. / E7 = 1  =>  2 pairs (_) / I7 = 1  =>  1 pairs (_)
A1,A6: 1.. / A1 = 1  =>  1 pairs (_) / A6 = 1  =>  1 pairs (_)
G2,G8: 1.. / G2 = 1  =>  1 pairs (_) / G8 = 1  =>  2 pairs (_)
A4,B5: 2.. / A4 = 2  =>  1 pairs (_) / B5 = 2  =>  1 pairs (_)
A7,C7: 3.. / A7 = 3  =>  1 pairs (_) / C7 = 3  =>  0 pairs (_)
D1,E3: 4.. / D1 = 4  =>  1 pairs (_) / E3 = 4  =>  1 pairs (_)
B8,C8: 4.. / B8 = 4  =>  0 pairs (_) / C8 = 4  =>  2 pairs (_)
G9,I9: 4.. / G9 = 4  =>  2 pairs (_) / I9 = 4  =>  2 pairs (_)
B5,B8: 4.. / B5 = 4  =>  2 pairs (_) / B8 = 4  =>  0 pairs (_)
F1,E2: 6.. / F1 = 6  =>  1 pairs (_) / E2 = 6  =>  1 pairs (_)
D2,F3: 7.. / D2 = 7  =>  1 pairs (_) / F3 = 7  =>  1 pairs (_)
I4,H6: 7.. / I4 = 7  =>  2 pairs (_) / H6 = 7  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  0 pairs (_) / A9 = 8  =>  1 pairs (_)
* DURATION: 0:00:10.872135  START: 21:57:05.304806  END: 21:57:16.176941 2020-11-25
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G9,I9: 4.. / G9 = 4 ==>  2 pairs (_) / I9 = 4 ==>  3 pairs (_)
I4,H6: 7.. / I4 = 7 ==>  2 pairs (_) / H6 = 7 ==>  1 pairs (_)
G2,G8: 1.. / G2 = 1 ==>  1 pairs (_) / G8 = 1 ==>  2 pairs (_)
E7,I7: 1.. / E7 = 1 ==>  2 pairs (_) / I7 = 1 ==>  1 pairs (_)
I7,G8: 1.. / I7 = 1 ==>  1 pairs (_) / G8 = 1 ==>  2 pairs (_)
B5,B8: 4.. / B5 = 4 ==>  2 pairs (_) / B8 = 4 ==>  0 pairs (_)
B8,C8: 4.. / B8 = 4 ==>  0 pairs (_) / C8 = 4 ==>  2 pairs (_)
D2,F3: 7.. / D2 = 7 ==>  2 pairs (_) / F3 = 7 ==>  2 pairs (_)
F1,E2: 6.. / F1 = 6 ==>  1 pairs (_) / E2 = 6 ==>  1 pairs (_)
D1,E3: 4.. / D1 = 4 ==>  1 pairs (_) / E3 = 4 ==>  1 pairs (_)
A4,B5: 2.. / A4 = 2 ==>  1 pairs (_) / B5 = 2 ==>  1 pairs (_)
A1,A6: 1.. / A1 = 1 ==>  1 pairs (_) / A6 = 1 ==>  1 pairs (_)
C5,F5: 1.. / C5 = 1 ==>  2 pairs (_) / F5 = 1 ==>  1 pairs (_)
A7,A9: 8.. / A7 = 8 ==>  0 pairs (_) / A9 = 8 ==>  1 pairs (_)
A7,C7: 3.. / A7 = 3 ==>  1 pairs (_) / C7 = 3 ==>  0 pairs (_)
* DURATION: 0:02:14.843655  START: 21:57:16.178174  END: 21:59:31.021829 2020-11-25
* REASONING G9,I9: 4..
* DIS # I9: 4 # I4: 3,9 => CTR => I4: 5,7
* CNT   1 HDP CHAINS /  38 HYP OPENED
* REASONING B5,B8: 4..
* DIS # B5: 4 # I4: 3,5 => CTR => I4: 4,7,9
* CNT   1 HDP CHAINS /  14 HYP OPENED
* REASONING B8,C8: 4..
* DIS # C8: 4 # I4: 3,5 => CTR => I4: 4,7,9
* CNT   1 HDP CHAINS /  14 HYP OPENED
* REASONING D2,F3: 7..
* DIS # D2: 7 # F1: 2,3 => CTR => F1: 6,8
* DIS # F3: 7 # E2: 2,8 => CTR => E2: 3,6
* CNT   2 HDP CHAINS /  42 HYP OPENED
* REASONING C5,F5: 1..
* DIS # C5: 1 # A4: 7,9 => CTR => A4: 2,6
* CNT   1 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G9,I9: 4.. / G9 = 4 ==>  0 pairs (*) / I9 = 4  =>  0 pairs (X)
* DURATION: 0:00:26.776600  START: 21:59:31.185666  END: 21:59:57.962266 2020-11-25
* REASONING G9,I9: 4..
* DIS # G9: 4 # H6: 5,8 # F1: 2,8 => CTR => F1: 3,6
* PRF # G9: 4 # H6: 5,8 + F1: 3,6 # C7: 5,7 => SOL
* STA # G9: 4 # H6: 5,8 + F1: 3,6 + C7: 5,7
* CNT   2 HDP CHAINS /  19 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1169;782;elev;21;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G9,I9: 4..:

* INC # G9: 4 # H6: 5,8 => UNS
* INC # G9: 4 # H6: 4,7,9 => UNS
* INC # G9: 4 # F6: 5,8 => UNS
* INC # G9: 4 # F6: 1 => UNS
* INC # G9: 4 # G2: 5,8 => UNS
* INC # G9: 4 # G2: 1,2,3 => UNS
* INC # G9: 4 # H7: 5,7 => UNS
* INC # G9: 4 # I7: 5,7 => UNS
* INC # G9: 4 # H8: 5,7 => UNS
* INC # G9: 4 # D9: 5,7 => UNS
* INC # G9: 4 # F9: 5,7 => UNS
* INC # G9: 4 # I4: 5,7 => UNS
* INC # G9: 4 # I4: 3,4,9 => UNS
* INC # G9: 4 => UNS
* DIS # I9: 4 # I4: 3,9 => CTR => I4: 5,7
* INC # I9: 4 + I4: 5,7 # I1: 3,9 => UNS
* INC # I9: 4 + I4: 5,7 # I1: 1 => UNS
* INC # I9: 4 + I4: 5,7 # H7: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # G8: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # H8: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # F9: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # F9: 7,8 => UNS
* INC # I9: 4 + I4: 5,7 # G4: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # G4: 3,4 => UNS
* INC # I9: 4 + I4: 5,7 # H6: 5,7 => UNS
* INC # I9: 4 + I4: 5,7 # H6: 4,8,9 => UNS
* INC # I9: 4 + I4: 5,7 # I7: 5,7 => UNS
* INC # I9: 4 + I4: 5,7 # I7: 1 => UNS
* INC # I9: 4 + I4: 5,7 # I1: 3,9 => UNS
* INC # I9: 4 + I4: 5,7 # I1: 1 => UNS
* INC # I9: 4 + I4: 5,7 # H7: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # G8: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # H8: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # F9: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # F9: 7,8 => UNS
* INC # I9: 4 + I4: 5,7 # G4: 5,6 => UNS
* INC # I9: 4 + I4: 5,7 # G4: 3,4 => UNS
* INC # I9: 4 + I4: 5,7 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

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

* INC # I4: 7 # G8: 1,5 => UNS
* INC # I4: 7 # G8: 2,6 => UNS
* INC # I4: 7 # I2: 1,5 => UNS
* INC # I4: 7 # I2: 3 => UNS
* INC # I4: 7 # G9: 4,5 => UNS
* INC # I4: 7 # G9: 6 => UNS
* INC # I4: 7 => UNS
* INC # H6: 7 # C5: 1,9 => UNS
* INC # H6: 7 # C6: 1,9 => UNS
* INC # H6: 7 # E6: 1,9 => UNS
* INC # H6: 7 # E6: 4,8 => UNS
* INC # H6: 7 # A1: 1,9 => UNS
* INC # H6: 7 # A1: 2,3,6 => UNS
* INC # H6: 7 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for G2,G8: 1..:

* INC # G8: 1 # G2: 5,8 => UNS
* INC # G8: 1 # G2: 2,3 => UNS
* INC # G8: 1 # H6: 5,8 => UNS
* INC # G8: 1 # H6: 4,7,9 => UNS
* INC # G8: 1 # H7: 5,7 => UNS
* INC # G8: 1 # H8: 5,7 => UNS
* INC # G8: 1 # I9: 5,7 => UNS
* INC # G8: 1 # B7: 5,7 => UNS
* INC # G8: 1 # C7: 5,7 => UNS
* INC # G8: 1 # D7: 5,7 => UNS
* INC # G8: 1 # I4: 5,7 => UNS
* INC # G8: 1 # I4: 3,4,9 => UNS
* INC # G8: 1 => UNS
* INC # G2: 1 # G3: 3,5 => UNS
* INC # G2: 1 # G3: 2,4 => UNS
* INC # G2: 1 # C2: 3,5 => UNS
* INC # G2: 1 # C2: 6,7 => UNS
* INC # G2: 1 # I4: 3,5 => UNS
* INC # G2: 1 # I4: 4,7,9 => UNS
* INC # G2: 1 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for E7,I7: 1..:

* INC # E7: 1 # G2: 5,8 => UNS
* INC # E7: 1 # G2: 2,3 => UNS
* INC # E7: 1 # H6: 5,8 => UNS
* INC # E7: 1 # H6: 4,7,9 => UNS
* INC # E7: 1 # H7: 5,7 => UNS
* INC # E7: 1 # H8: 5,7 => UNS
* INC # E7: 1 # I9: 5,7 => UNS
* INC # E7: 1 # B7: 5,7 => UNS
* INC # E7: 1 # C7: 5,7 => UNS
* INC # E7: 1 # D7: 5,7 => UNS
* INC # E7: 1 # I4: 5,7 => UNS
* INC # E7: 1 # I4: 3,4,9 => UNS
* INC # E7: 1 => UNS
* INC # I7: 1 # G3: 3,5 => UNS
* INC # I7: 1 # G3: 2,4 => UNS
* INC # I7: 1 # C2: 3,5 => UNS
* INC # I7: 1 # C2: 6,7 => UNS
* INC # I7: 1 # I4: 3,5 => UNS
* INC # I7: 1 # I4: 4,7,9 => UNS
* INC # I7: 1 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for I7,G8: 1..:

* INC # G8: 1 # G2: 5,8 => UNS
* INC # G8: 1 # G2: 2,3 => UNS
* INC # G8: 1 # H6: 5,8 => UNS
* INC # G8: 1 # H6: 4,7,9 => UNS
* INC # G8: 1 # H7: 5,7 => UNS
* INC # G8: 1 # H8: 5,7 => UNS
* INC # G8: 1 # I9: 5,7 => UNS
* INC # G8: 1 # B7: 5,7 => UNS
* INC # G8: 1 # C7: 5,7 => UNS
* INC # G8: 1 # D7: 5,7 => UNS
* INC # G8: 1 # I4: 5,7 => UNS
* INC # G8: 1 # I4: 3,4,9 => UNS
* INC # G8: 1 => UNS
* INC # I7: 1 # G3: 3,5 => UNS
* INC # I7: 1 # G3: 2,4 => UNS
* INC # I7: 1 # C2: 3,5 => UNS
* INC # I7: 1 # C2: 6,7 => UNS
* INC # I7: 1 # I4: 3,5 => UNS
* INC # I7: 1 # I4: 4,7,9 => UNS
* INC # I7: 1 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for B5,B8: 4..:

* INC # B5: 4 # G4: 3,5 => UNS
* DIS # B5: 4 # I4: 3,5 => CTR => I4: 4,7,9
* INC # B5: 4 + I4: 4,7,9 # G4: 3,5 => UNS
* INC # B5: 4 + I4: 4,7,9 # G4: 4,6 => UNS
* INC # B5: 4 + I4: 4,7,9 # G4: 3,5 => UNS
* INC # B5: 4 + I4: 4,7,9 # G4: 4,6 => UNS
* INC # B5: 4 + I4: 4,7,9 # I1: 3,9 => UNS
* INC # B5: 4 + I4: 4,7,9 # I1: 1,4 => UNS
* INC # B5: 4 + I4: 4,7,9 # G4: 3,5 => UNS
* INC # B5: 4 + I4: 4,7,9 # G4: 4,6 => UNS
* INC # B5: 4 + I4: 4,7,9 # I1: 3,9 => UNS
* INC # B5: 4 + I4: 4,7,9 # I1: 1,4 => UNS
* INC # B5: 4 + I4: 4,7,9 => UNS
* INC # B8: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B8,C8: 4..:

* INC # C8: 4 # G4: 3,5 => UNS
* DIS # C8: 4 # I4: 3,5 => CTR => I4: 4,7,9
* INC # C8: 4 + I4: 4,7,9 # G4: 3,5 => UNS
* INC # C8: 4 + I4: 4,7,9 # G4: 4,6 => UNS
* INC # C8: 4 + I4: 4,7,9 # G4: 3,5 => UNS
* INC # C8: 4 + I4: 4,7,9 # G4: 4,6 => UNS
* INC # C8: 4 + I4: 4,7,9 # I1: 3,9 => UNS
* INC # C8: 4 + I4: 4,7,9 # I1: 1,4 => UNS
* INC # C8: 4 + I4: 4,7,9 # G4: 3,5 => UNS
* INC # C8: 4 + I4: 4,7,9 # G4: 4,6 => UNS
* INC # C8: 4 + I4: 4,7,9 # I1: 3,9 => UNS
* INC # C8: 4 + I4: 4,7,9 # I1: 1,4 => UNS
* INC # C8: 4 + I4: 4,7,9 => UNS
* INC # B8: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for D2,F3: 7..:

* DIS # D2: 7 # F1: 2,3 => CTR => F1: 6,8
* INC # D2: 7 + F1: 6,8 # E2: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # E3: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # A3: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # G3: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # F4: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # F5: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # E2: 6,8 => UNS
* INC # D2: 7 + F1: 6,8 # E2: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # F9: 6,8 => UNS
* INC # D2: 7 + F1: 6,8 # F9: 5,7 => UNS
* INC # D2: 7 + F1: 6,8 # E2: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # E3: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # A3: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # G3: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # F4: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 # F5: 2,3 => UNS
* INC # D2: 7 + F1: 6,8 => UNS
* INC # F3: 7 # D1: 2,8 => UNS
* INC # F3: 7 # F1: 2,8 => UNS
* DIS # F3: 7 # E2: 2,8 => CTR => E2: 3,6
* INC # F3: 7 + E2: 3,6 # G2: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # H2: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D5: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D7: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D1: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # F1: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # G2: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # H2: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D5: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D7: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D1: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # F1: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # G2: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # H2: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D5: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # D7: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # F1: 3,6 => UNS
* INC # F3: 7 + E2: 3,6 # F1: 2,8 => UNS
* INC # F3: 7 + E2: 3,6 # C2: 3,6 => UNS
* INC # F3: 7 + E2: 3,6 # C2: 1,5,7 => UNS
* INC # F3: 7 + E2: 3,6 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for F1,E2: 6..:

* INC # F1: 6 # A1: 2,9 => UNS
* INC # F1: 6 # A3: 2,9 => UNS
* INC # F1: 6 # B3: 2,9 => UNS
* INC # F1: 6 # H1: 2,9 => UNS
* INC # F1: 6 # H1: 4,8 => UNS
* INC # F1: 6 # B5: 2,9 => UNS
* INC # F1: 6 # B5: 4,6 => UNS
* INC # F1: 6 => UNS
* INC # E2: 6 # D9: 8,9 => UNS
* INC # E2: 6 # D9: 5,7 => UNS
* INC # E2: 6 # A9: 8,9 => UNS
* INC # E2: 6 # A9: 6,7 => UNS
* INC # E2: 6 # E6: 8,9 => UNS
* INC # E2: 6 # E6: 1,4 => UNS
* INC # E2: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D1,E3: 4..:

* INC # D1: 4 # F1: 2,3 => UNS
* INC # D1: 4 # E2: 2,3 => UNS
* INC # D1: 4 # F3: 2,3 => UNS
* INC # D1: 4 # A3: 2,3 => UNS
* INC # D1: 4 # G3: 2,3 => UNS
* INC # D1: 4 # E4: 2,3 => UNS
* INC # D1: 4 # E4: 4,9 => UNS
* INC # D1: 4 => UNS
* INC # E3: 4 # F1: 2,8 => UNS
* INC # E3: 4 # D2: 2,8 => UNS
* INC # E3: 4 # E2: 2,8 => UNS
* INC # E3: 4 # H1: 2,8 => UNS
* INC # E3: 4 # H1: 4,9 => UNS
* INC # E3: 4 # D5: 2,8 => UNS
* INC # E3: 4 # D7: 2,8 => UNS
* INC # E3: 4 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for A4,B5: 2..:

* INC # A4: 2 # G4: 3,5 => UNS
* INC # A4: 2 # I4: 3,5 => UNS
* INC # A4: 2 => UNS
* INC # B5: 2 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for A1,A6: 1..:

* INC # A1: 1 # A4: 7,9 => UNS
* INC # A1: 1 # C4: 7,9 => UNS
* INC # A1: 1 # C6: 7,9 => UNS
* INC # A1: 1 # H6: 7,9 => UNS
* INC # A1: 1 # H6: 4,5,8 => UNS
* INC # A1: 1 # A3: 7,9 => UNS
* INC # A1: 1 # A8: 7,9 => UNS
* INC # A1: 1 # A9: 7,9 => UNS
* INC # A1: 1 => UNS
* INC # A6: 1 # G6: 5,8 => UNS
* INC # A6: 1 # H6: 5,8 => UNS
* INC # A6: 1 # F9: 5,8 => UNS
* INC # A6: 1 # F9: 6,7 => UNS
* INC # A6: 1 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for C5,F5: 1..:

* DIS # C5: 1 # A4: 7,9 => CTR => A4: 2,6
* INC # C5: 1 + A4: 2,6 # C4: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # C6: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # H6: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # H6: 4,5,8 => UNS
* INC # C5: 1 + A4: 2,6 # A3: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # A8: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # A9: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # B5: 2,6 => UNS
* INC # C5: 1 + A4: 2,6 # B5: 4,9 => UNS
* INC # C5: 1 + A4: 2,6 # C4: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # C6: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # H6: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # H6: 4,5,8 => UNS
* INC # C5: 1 + A4: 2,6 # A3: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # A8: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 # A9: 7,9 => UNS
* INC # C5: 1 + A4: 2,6 => UNS
* INC # F5: 1 # G6: 5,8 => UNS
* INC # F5: 1 # H6: 5,8 => UNS
* INC # F5: 1 # F9: 5,8 => UNS
* INC # F5: 1 # F9: 6,7 => UNS
* INC # F5: 1 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

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

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

Full list of HDP chains traversed for A7,C7: 3..:

* INC # A7: 3 => UNS
* INC # C7: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G9,I9: 4..:

* INC # G9: 4 # H6: 5,8 => UNS
* INC # G9: 4 # H6: 4,7,9 => UNS
* INC # G9: 4 # F6: 5,8 => UNS
* INC # G9: 4 # F6: 1 => UNS
* INC # G9: 4 # G2: 5,8 => UNS
* INC # G9: 4 # G2: 1,2,3 => UNS
* INC # G9: 4 # H7: 5,7 => UNS
* INC # G9: 4 # I7: 5,7 => UNS
* INC # G9: 4 # H8: 5,7 => UNS
* INC # G9: 4 # D9: 5,7 => UNS
* INC # G9: 4 # F9: 5,7 => UNS
* INC # G9: 4 # I4: 5,7 => UNS
* INC # G9: 4 # I4: 3,4,9 => UNS
* INC # G9: 4 # H6: 5,8 # F1: 3,6 => UNS
* DIS # G9: 4 # H6: 5,8 # F1: 2,8 => CTR => F1: 3,6
* INC # G9: 4 # H6: 5,8 + F1: 3,6 # C7: 3,6 => UNS
* PRF # G9: 4 # H6: 5,8 + F1: 3,6 # C7: 5,7 => SOL
* STA # G9: 4 # H6: 5,8 + F1: 3,6 + C7: 5,7
* CNT  17 HDP CHAINS /  19 HYP OPENED