Analysis of xx-ph-01000912-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5..6..7......8..4.7...93.5....5....7.....63..3..9..5....9.....2..7.51... initial

Autosolve

position: 98.7..6..5..6..7...7..8..4.7...93.5....5....7..5.763..3..9..5...59.....2..7.51... 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 F8,H8: 7..:

* DIS # H8: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for F7,H7: 7..:

* DIS # F7: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for H7,H8: 7..:

* DIS # H8: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for F7,F8: 7..:

* DIS # F7: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 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: 0:00:54.816760

List of important HDP chains detected for F2,F3: 9..:

* DIS # F3: 9 # E2: 2,4 # A5: 2,6 => CTR => A5: 1,4,8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 # A9: 2,6 => CTR => A9: 4,8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 # F5: 2,4 => CTR => F5: 8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 # H6: 1 => CTR => H6: 8,9
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 # I6: 8,9 => CTR => I6: 1,4
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 + I6: 1,4 # I9: 8,9 => CTR => I9: 4,6
* PRF # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 + I6: 1,4 + I9: 4,6 => SOL
* STA # F3: 9 + E2: 2,4
* CNT   7 HDP CHAINS /  61 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..7......8..4.7...93.5....5....7.....63..3..9..5....9.....2..7.51... initial
98.7..6..5..6..7...7..8..4.7...93.5....5....7..5.763..3..9..5...59.....2..7.51... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B5,C5: 3.. / B5 = 3  =>  0 pairs (_) / C5 = 3  =>  0 pairs (_)
B2,B5: 3.. / B2 = 3  =>  0 pairs (_) / B5 = 3  =>  0 pairs (_)
F1,F3: 5.. / F1 = 5  =>  2 pairs (_) / F3 = 5  =>  1 pairs (_)
I1,I3: 5.. / I1 = 5  =>  1 pairs (_) / I3 = 5  =>  2 pairs (_)
F1,I1: 5.. / F1 = 5  =>  2 pairs (_) / I1 = 5  =>  1 pairs (_)
F3,I3: 5.. / F3 = 5  =>  1 pairs (_) / I3 = 5  =>  2 pairs (_)
A3,C3: 6.. / A3 = 6  =>  0 pairs (_) / C3 = 6  =>  1 pairs (_)
I4,H5: 6.. / I4 = 6  =>  0 pairs (_) / H5 = 6  =>  0 pairs (_)
E7,E8: 6.. / E7 = 6  =>  1 pairs (_) / E8 = 6  =>  2 pairs (_)
F7,F8: 7.. / F7 = 7  =>  1 pairs (_) / F8 = 7  =>  0 pairs (_)
H7,H8: 7.. / H7 = 7  =>  0 pairs (_) / H8 = 7  =>  1 pairs (_)
F7,H7: 7.. / F7 = 7  =>  1 pairs (_) / H7 = 7  =>  0 pairs (_)
F8,H8: 7.. / F8 = 7  =>  0 pairs (_) / H8 = 7  =>  1 pairs (_)
H2,I2: 8.. / H2 = 8  =>  0 pairs (_) / I2 = 8  =>  0 pairs (_)
F2,F3: 9.. / F2 = 9  =>  1 pairs (_) / F3 = 9  =>  5 pairs (_)
B5,B6: 9.. / B5 = 9  =>  0 pairs (_) / B6 = 9  =>  0 pairs (_)
* DURATION: 0:00:11.034508  START: 05:45:10.541777  END: 05:45:21.576285 2021-01-07
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F3: 9.. / F2 = 9 ==>  1 pairs (_) / F3 = 9 ==>  5 pairs (_)
E7,E8: 6.. / E7 = 6 ==>  1 pairs (_) / E8 = 6 ==>  2 pairs (_)
F3,I3: 5.. / F3 = 5 ==>  1 pairs (_) / I3 = 5 ==>  2 pairs (_)
F1,I1: 5.. / F1 = 5 ==>  2 pairs (_) / I1 = 5 ==>  1 pairs (_)
I1,I3: 5.. / I1 = 5 ==>  1 pairs (_) / I3 = 5 ==>  2 pairs (_)
F1,F3: 5.. / F1 = 5 ==>  2 pairs (_) / F3 = 5 ==>  1 pairs (_)
F8,H8: 7.. / F8 = 7 ==>  0 pairs (_) / H8 = 7 ==>  3 pairs (_)
F7,H7: 7.. / F7 = 7 ==>  3 pairs (_) / H7 = 7 ==>  0 pairs (_)
H7,H8: 7.. / H7 = 7 ==>  0 pairs (_) / H8 = 7 ==>  3 pairs (_)
F7,F8: 7.. / F7 = 7 ==>  3 pairs (_) / F8 = 7 ==>  0 pairs (_)
A3,C3: 6.. / A3 = 6 ==>  0 pairs (_) / C3 = 6 ==>  1 pairs (_)
B5,B6: 9.. / B5 = 9 ==>  0 pairs (_) / B6 = 9 ==>  0 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  0 pairs (_) / I2 = 8 ==>  0 pairs (_)
I4,H5: 6.. / I4 = 6 ==>  0 pairs (_) / H5 = 6 ==>  0 pairs (_)
B2,B5: 3.. / B2 = 3 ==>  0 pairs (_) / B5 = 3 ==>  0 pairs (_)
B5,C5: 3.. / B5 = 3 ==>  0 pairs (_) / C5 = 3 ==>  0 pairs (_)
* DURATION: 0:01:57.509656  START: 05:45:21.576905  END: 05:47:19.086561 2021-01-07
* REASONING F8,H8: 7..
* DIS # H8: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F7,H7: 7..
* DIS # F7: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING H7,H8: 7..
* DIS # H8: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING F7,F8: 7..
* DIS # F7: 7 # D8: 4,8 => CTR => D8: 3
* CNT   1 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F2,F3: 9.. / F2 = 9  =>  0 pairs (X) / F3 = 9 ==>  0 pairs (*)
* DURATION: 0:00:54.812836  START: 05:47:19.317466  END: 05:48:14.130302 2021-01-07
* REASONING F2,F3: 9..
* DIS # F3: 9 # E2: 2,4 # A5: 2,6 => CTR => A5: 1,4,8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 # A9: 2,6 => CTR => A9: 4,8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 # F5: 2,4 => CTR => F5: 8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 # H6: 1 => CTR => H6: 8,9
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 # I6: 8,9 => CTR => I6: 1,4
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 + I6: 1,4 # I9: 8,9 => CTR => I9: 4,6
* PRF # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 + I6: 1,4 + I9: 4,6 => SOL
* STA # F3: 9 + E2: 2,4
* CNT   7 HDP CHAINS /  61 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1000912;13_07;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F3: 9..:

* INC # F3: 9 # E1: 2,4 => UNS
* INC # F3: 9 # E2: 2,4 => UNS
* INC # F3: 9 # B2: 2,4 => UNS
* INC # F3: 9 # C2: 2,4 => UNS
* INC # F3: 9 # F5: 2,4 => UNS
* INC # F3: 9 # F7: 2,4 => UNS
* INC # F3: 9 # H1: 1,3 => UNS
* INC # F3: 9 # H1: 2 => UNS
* INC # F3: 9 # H5: 8,9 => UNS
* INC # F3: 9 # H6: 8,9 => UNS
* INC # F3: 9 # H9: 8,9 => UNS
* INC # F3: 9 # I6: 8,9 => UNS
* INC # F3: 9 # I9: 8,9 => UNS
* INC # F3: 9 # H1: 1,2 => UNS
* INC # F3: 9 # H1: 3 => UNS
* INC # F3: 9 # A3: 1,2 => UNS
* INC # F3: 9 # C3: 1,2 => UNS
* INC # F3: 9 # D3: 1,2 => UNS
* INC # F3: 9 # G4: 1,2 => UNS
* INC # F3: 9 # G5: 1,2 => UNS
* INC # F3: 9 => UNS
* INC # F2: 9 # F1: 2,5 => UNS
* INC # F2: 9 # F1: 4 => UNS
* INC # F2: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for E7,E8: 6..:

* INC # E8: 6 # E1: 1,2 => UNS
* INC # E8: 6 # E2: 1,2 => UNS
* INC # E8: 6 # A3: 1,2 => UNS
* INC # E8: 6 # C3: 1,2 => UNS
* INC # E8: 6 # G3: 1,2 => UNS
* INC # E8: 6 # D4: 1,2 => UNS
* INC # E8: 6 # D6: 1,2 => UNS
* INC # E8: 6 # F7: 2,4 => UNS
* INC # E8: 6 # D9: 2,4 => UNS
* INC # E8: 6 # B7: 2,4 => UNS
* INC # E8: 6 # C7: 2,4 => UNS
* INC # E8: 6 # E1: 2,4 => UNS
* INC # E8: 6 # E2: 2,4 => UNS
* INC # E8: 6 # E5: 2,4 => UNS
* INC # E8: 6 => UNS
* INC # E7: 6 # D8: 3,4 => UNS
* INC # E7: 6 # D9: 3,4 => UNS
* INC # E7: 6 # E1: 3,4 => UNS
* INC # E7: 6 # E2: 3,4 => UNS
* INC # E7: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for F3,I3: 5..:

* INC # I3: 5 # F2: 2,9 => UNS
* INC # I3: 5 # F2: 4 => UNS
* INC # I3: 5 # G3: 2,9 => UNS
* INC # I3: 5 # G3: 1 => UNS
* INC # I3: 5 # H1: 1,3 => UNS
* INC # I3: 5 # H2: 1,3 => UNS
* INC # I3: 5 # I2: 1,3 => UNS
* INC # I3: 5 # C1: 1,3 => UNS
* INC # I3: 5 # E1: 1,3 => UNS
* INC # I3: 5 => UNS
* INC # F3: 5 # E1: 2,4 => UNS
* INC # F3: 5 # E2: 2,4 => UNS
* INC # F3: 5 # C1: 2,4 => UNS
* INC # F3: 5 # C1: 1,3 => UNS
* INC # F3: 5 # F5: 2,4 => UNS
* INC # F3: 5 # F7: 2,4 => UNS
* INC # F3: 5 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for F1,I1: 5..:

* INC # F1: 5 # F2: 2,9 => UNS
* INC # F1: 5 # F2: 4 => UNS
* INC # F1: 5 # G3: 2,9 => UNS
* INC # F1: 5 # G3: 1 => UNS
* INC # F1: 5 # H1: 1,3 => UNS
* INC # F1: 5 # H2: 1,3 => UNS
* INC # F1: 5 # I2: 1,3 => UNS
* INC # F1: 5 # C1: 1,3 => UNS
* INC # F1: 5 # E1: 1,3 => UNS
* INC # F1: 5 => UNS
* INC # I1: 5 # E1: 2,4 => UNS
* INC # I1: 5 # E2: 2,4 => UNS
* INC # I1: 5 # C1: 2,4 => UNS
* INC # I1: 5 # C1: 1,3 => UNS
* INC # I1: 5 # F5: 2,4 => UNS
* INC # I1: 5 # F7: 2,4 => UNS
* INC # I1: 5 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for I1,I3: 5..:

* INC # I3: 5 # F2: 2,9 => UNS
* INC # I3: 5 # F2: 4 => UNS
* INC # I3: 5 # G3: 2,9 => UNS
* INC # I3: 5 # G3: 1 => UNS
* INC # I3: 5 # H1: 1,3 => UNS
* INC # I3: 5 # H2: 1,3 => UNS
* INC # I3: 5 # I2: 1,3 => UNS
* INC # I3: 5 # C1: 1,3 => UNS
* INC # I3: 5 # E1: 1,3 => UNS
* INC # I3: 5 => UNS
* INC # I1: 5 # E1: 2,4 => UNS
* INC # I1: 5 # E2: 2,4 => UNS
* INC # I1: 5 # C1: 2,4 => UNS
* INC # I1: 5 # C1: 1,3 => UNS
* INC # I1: 5 # F5: 2,4 => UNS
* INC # I1: 5 # F7: 2,4 => UNS
* INC # I1: 5 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

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

* INC # F1: 5 # F2: 2,9 => UNS
* INC # F1: 5 # F2: 4 => UNS
* INC # F1: 5 # G3: 2,9 => UNS
* INC # F1: 5 # G3: 1 => UNS
* INC # F1: 5 # H1: 1,3 => UNS
* INC # F1: 5 # H2: 1,3 => UNS
* INC # F1: 5 # I2: 1,3 => UNS
* INC # F1: 5 # C1: 1,3 => UNS
* INC # F1: 5 # E1: 1,3 => UNS
* INC # F1: 5 => UNS
* INC # F3: 5 # E1: 2,4 => UNS
* INC # F3: 5 # E2: 2,4 => UNS
* INC # F3: 5 # C1: 2,4 => UNS
* INC # F3: 5 # C1: 1,3 => UNS
* INC # F3: 5 # F5: 2,4 => UNS
* INC # F3: 5 # F7: 2,4 => UNS
* INC # F3: 5 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for F8,H8: 7..:

* DIS # H8: 7 # D8: 4,8 => CTR => D8: 3
* INC # H8: 7 + D8: 3 # D9: 4,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 4,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 2 => UNS
* INC # H8: 7 + D8: 3 # A8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # G8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 2 => UNS
* INC # H8: 7 + D8: 3 # E1: 1,2 => UNS
* INC # H8: 7 + D8: 3 # E2: 1,2 => UNS
* INC # H8: 7 + D8: 3 # A3: 1,2 => UNS
* INC # H8: 7 + D8: 3 # C3: 1,2 => UNS
* INC # H8: 7 + D8: 3 # G3: 1,2 => UNS
* INC # H8: 7 + D8: 3 # D4: 1,2 => UNS
* INC # H8: 7 + D8: 3 # D6: 1,2 => UNS
* INC # H8: 7 + D8: 3 # E7: 4,6 => UNS
* INC # H8: 7 + D8: 3 # E7: 2 => UNS
* INC # H8: 7 + D8: 3 # A8: 4,6 => UNS
* INC # H8: 7 + D8: 3 # A8: 1,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 4,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 2 => UNS
* INC # H8: 7 + D8: 3 # A8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # G8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 2 => UNS
* INC # H8: 7 + D8: 3 => UNS
* INC # F8: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F7,H7: 7..:

* DIS # F7: 7 # D8: 4,8 => CTR => D8: 3
* INC # F7: 7 + D8: 3 # D9: 4,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 4,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 2 => UNS
* INC # F7: 7 + D8: 3 # A8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # G8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 2 => UNS
* INC # F7: 7 + D8: 3 # E1: 1,2 => UNS
* INC # F7: 7 + D8: 3 # E2: 1,2 => UNS
* INC # F7: 7 + D8: 3 # A3: 1,2 => UNS
* INC # F7: 7 + D8: 3 # C3: 1,2 => UNS
* INC # F7: 7 + D8: 3 # G3: 1,2 => UNS
* INC # F7: 7 + D8: 3 # D4: 1,2 => UNS
* INC # F7: 7 + D8: 3 # D6: 1,2 => UNS
* INC # F7: 7 + D8: 3 # E7: 4,6 => UNS
* INC # F7: 7 + D8: 3 # E7: 2 => UNS
* INC # F7: 7 + D8: 3 # A8: 4,6 => UNS
* INC # F7: 7 + D8: 3 # A8: 1,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 4,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 2 => UNS
* INC # F7: 7 + D8: 3 # A8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # G8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 2 => UNS
* INC # F7: 7 + D8: 3 => UNS
* INC # H7: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for H7,H8: 7..:

* DIS # H8: 7 # D8: 4,8 => CTR => D8: 3
* INC # H8: 7 + D8: 3 # D9: 4,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 4,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 2 => UNS
* INC # H8: 7 + D8: 3 # A8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # G8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 2 => UNS
* INC # H8: 7 + D8: 3 # E1: 1,2 => UNS
* INC # H8: 7 + D8: 3 # E2: 1,2 => UNS
* INC # H8: 7 + D8: 3 # A3: 1,2 => UNS
* INC # H8: 7 + D8: 3 # C3: 1,2 => UNS
* INC # H8: 7 + D8: 3 # G3: 1,2 => UNS
* INC # H8: 7 + D8: 3 # D4: 1,2 => UNS
* INC # H8: 7 + D8: 3 # D6: 1,2 => UNS
* INC # H8: 7 + D8: 3 # E7: 4,6 => UNS
* INC # H8: 7 + D8: 3 # E7: 2 => UNS
* INC # H8: 7 + D8: 3 # A8: 4,6 => UNS
* INC # H8: 7 + D8: 3 # A8: 1,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 4,8 => UNS
* INC # H8: 7 + D8: 3 # D9: 2 => UNS
* INC # H8: 7 + D8: 3 # A8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # G8: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 4,8 => UNS
* INC # H8: 7 + D8: 3 # F5: 2 => UNS
* INC # H8: 7 + D8: 3 => UNS
* INC # H7: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for F7,F8: 7..:

* DIS # F7: 7 # D8: 4,8 => CTR => D8: 3
* INC # F7: 7 + D8: 3 # D9: 4,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 4,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 2 => UNS
* INC # F7: 7 + D8: 3 # A8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # G8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 2 => UNS
* INC # F7: 7 + D8: 3 # E1: 1,2 => UNS
* INC # F7: 7 + D8: 3 # E2: 1,2 => UNS
* INC # F7: 7 + D8: 3 # A3: 1,2 => UNS
* INC # F7: 7 + D8: 3 # C3: 1,2 => UNS
* INC # F7: 7 + D8: 3 # G3: 1,2 => UNS
* INC # F7: 7 + D8: 3 # D4: 1,2 => UNS
* INC # F7: 7 + D8: 3 # D6: 1,2 => UNS
* INC # F7: 7 + D8: 3 # E7: 4,6 => UNS
* INC # F7: 7 + D8: 3 # E7: 2 => UNS
* INC # F7: 7 + D8: 3 # A8: 4,6 => UNS
* INC # F7: 7 + D8: 3 # A8: 1,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 4,8 => UNS
* INC # F7: 7 + D8: 3 # D9: 2 => UNS
* INC # F7: 7 + D8: 3 # A8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # G8: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 4,8 => UNS
* INC # F7: 7 + D8: 3 # F5: 2 => UNS
* INC # F7: 7 + D8: 3 => UNS
* INC # F8: 7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for A3,C3: 6..:

* INC # C3: 6 # C1: 1,2 => UNS
* INC # C3: 6 # B2: 1,2 => UNS
* INC # C3: 6 # C2: 1,2 => UNS
* INC # C3: 6 # D3: 1,2 => UNS
* INC # C3: 6 # G3: 1,2 => UNS
* INC # C3: 6 # A5: 1,2 => UNS
* INC # C3: 6 # A6: 1,2 => UNS
* INC # C3: 6 => UNS
* INC # A3: 6 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for B5,B6: 9..:

* INC # B5: 9 => UNS
* INC # B6: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H2,I2: 8..:

* INC # H2: 8 => UNS
* INC # I2: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I4,H5: 6..:

* INC # I4: 6 => UNS
* INC # H5: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B2,B5: 3..:

* INC # B2: 3 => UNS
* INC # B5: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B5,C5: 3..:

* INC # B5: 3 => UNS
* INC # C5: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F3: 9..:

* INC # F3: 9 # E1: 2,4 => UNS
* INC # F3: 9 # E2: 2,4 => UNS
* INC # F3: 9 # B2: 2,4 => UNS
* INC # F3: 9 # C2: 2,4 => UNS
* INC # F3: 9 # F5: 2,4 => UNS
* INC # F3: 9 # F7: 2,4 => UNS
* INC # F3: 9 # H1: 1,3 => UNS
* INC # F3: 9 # H1: 2 => UNS
* INC # F3: 9 # H5: 8,9 => UNS
* INC # F3: 9 # H6: 8,9 => UNS
* INC # F3: 9 # H9: 8,9 => UNS
* INC # F3: 9 # I6: 8,9 => UNS
* INC # F3: 9 # I9: 8,9 => UNS
* INC # F3: 9 # H1: 1,2 => UNS
* INC # F3: 9 # H1: 3 => UNS
* INC # F3: 9 # A3: 1,2 => UNS
* INC # F3: 9 # C3: 1,2 => UNS
* INC # F3: 9 # D3: 1,2 => UNS
* INC # F3: 9 # G4: 1,2 => UNS
* INC # F3: 9 # G5: 1,2 => UNS
* INC # F3: 9 # E1: 2,4 # C1: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # C1: 1 => UNS
* INC # F3: 9 # E1: 2,4 # E5: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # E7: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # B2: 1,3 => UNS
* INC # F3: 9 # E1: 2,4 # C2: 1,3 => UNS
* INC # F3: 9 # E1: 2,4 # B2: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # C2: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # F5: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # F7: 2,4 => UNS
* INC # F3: 9 # E1: 2,4 # C3: 1,3 => UNS
* INC # F3: 9 # E1: 2,4 # C3: 2,6 => UNS
* INC # F3: 9 # E1: 2,4 # H1: 1,3 => UNS
* INC # F3: 9 # E1: 2,4 # H1: 2 => UNS
* INC # F3: 9 # E1: 2,4 # H5: 8,9 => UNS
* INC # F3: 9 # E1: 2,4 # H6: 8,9 => UNS
* INC # F3: 9 # E1: 2,4 # H9: 8,9 => UNS
* INC # F3: 9 # E1: 2,4 # I6: 8,9 => UNS
* INC # F3: 9 # E1: 2,4 # I9: 8,9 => UNS
* INC # F3: 9 # E1: 2,4 # H1: 1,2 => UNS
* INC # F3: 9 # E1: 2,4 # H1: 3 => UNS
* INC # F3: 9 # E1: 2,4 # A3: 1,2 => UNS
* INC # F3: 9 # E1: 2,4 # C3: 1,2 => UNS
* INC # F3: 9 # E1: 2,4 # G4: 1,2 => UNS
* INC # F3: 9 # E1: 2,4 # G5: 1,2 => UNS
* INC # F3: 9 # E1: 2,4 => UNS
* INC # F3: 9 # E2: 2,4 # B5: 1,3 => UNS
* INC # F3: 9 # E2: 2,4 # B5: 2,4,6,9 => UNS
* INC # F3: 9 # E2: 2,4 # C5: 1,3 => UNS
* INC # F3: 9 # E2: 2,4 # C5: 2,6,8 => UNS
* DIS # F3: 9 # E2: 2,4 # A5: 2,6 => CTR => A5: 1,4,8
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 # A9: 2,6 => CTR => A9: 4,8
* INC # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 # C4: 2,6 => UNS
* INC # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 # C5: 2,6 => UNS
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 # F5: 2,4 => CTR => F5: 8
* INC # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 # H6: 8,9 => UNS
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 # H6: 1 => CTR => H6: 8,9
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 # I6: 8,9 => CTR => I6: 1,4
* DIS # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 + I6: 1,4 # I9: 8,9 => CTR => I9: 4,6
* PRF # F3: 9 # E2: 2,4 + A5: 1,4,8 + A9: 4,8 + F5: 8 + H6: 8,9 + I6: 1,4 + I9: 4,6 => SOL
* STA # F3: 9 + E2: 2,4
* CNT  60 HDP CHAINS /  61 HYP OPENED