Analysis of xx-ph-02210335-2018_12_06-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7..5..4...43.8....6..4..5....7....2...4..1......6....5....4.7.......7.69 initial

Autosolve

position: 98.7.46..7..5..4...43.86...6..4..5....7.6..24..4..1..6.7.6...45....4.7..4....7.69 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

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for A3,H3: 5..:

* DIS # A3: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,H1: 5..:

* DIS # H1: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for H1,H3: 5..:

* DIS # H1: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for C1,A3: 5..:

* DIS # A3: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 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: 0:01:03.796554

List of important HDP chains detected for I3,I4: 7..:

* DIS # I4: 7 # I1: 1,2 # C9: 1,2 => CTR => C9: 8
* DIS # I4: 7 # I1: 1,2 + C9: 8 # E2: 1,2 => CTR => E2: 9
* DIS # I4: 7 # I1: 1,2 + C9: 8 + E2: 9 => CTR => I1: 3
* DIS # I4: 7 + I1: 3 # C4: 1,2 # I2: 1,2 => CTR => I2: 8
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 # B4: 1,2 => CTR => B4: 3,9
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 # B9: 3 => CTR => B9: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # G3: 9 => CTR => G3: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 # E2: 3 => CTR => E2: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 + E2: 1,2 # G7: 1,2 => CTR => G7: 8
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 + E2: 1,2 + G7: 8 => CTR => C4: 8
* DIS # I4: 7 + I1: 3 + C4: 8 # E2: 1,2 => CTR => E2: 3,9
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 # B9: 1,2 => CTR => B9: 3
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 # B4: 9 => CTR => B4: 1,2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 # E7: 3 => CTR => E7: 1,2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 + E7: 1,2 # G3: 1,9 => CTR => G3: 2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 + E7: 1,2 + G3: 2 => CTR => I4: 1,3,8
* STA I4: 1,3,8
* CNT  16 HDP CHAINS /  82 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..7..5..4...43.8....6..4..5....7....2...4..1......6....5....4.7.......7.69 initial
98.7.46..7..5..4...43.86...6..4..5....7.6..24..4..1..6.7.6...45....4.7..4....7.69 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,A3: 5.. / C1 = 5  =>  2 pairs (_) / A3 = 5  =>  1 pairs (_)
H1,H3: 5.. / H1 = 5  =>  1 pairs (_) / H3 = 5  =>  2 pairs (_)
F5,E6: 5.. / F5 = 5  =>  0 pairs (_) / E6 = 5  =>  0 pairs (_)
F8,E9: 5.. / F8 = 5  =>  0 pairs (_) / E9 = 5  =>  0 pairs (_)
C1,H1: 5.. / C1 = 5  =>  2 pairs (_) / H1 = 5  =>  1 pairs (_)
A3,H3: 5.. / A3 = 5  =>  1 pairs (_) / H3 = 5  =>  2 pairs (_)
E6,E9: 5.. / E6 = 5  =>  0 pairs (_) / E9 = 5  =>  0 pairs (_)
F5,F8: 5.. / F5 = 5  =>  0 pairs (_) / F8 = 5  =>  0 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  1 pairs (_)
B8,C8: 6.. / B8 = 6  =>  1 pairs (_) / C8 = 6  =>  1 pairs (_)
B2,B8: 6.. / B2 = 6  =>  1 pairs (_) / B8 = 6  =>  1 pairs (_)
C2,C8: 6.. / C2 = 6  =>  1 pairs (_) / C8 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  3 pairs (_) / I3 = 7  =>  0 pairs (_)
E4,E6: 7.. / E4 = 7  =>  0 pairs (_) / E6 = 7  =>  0 pairs (_)
E6,H6: 7.. / E6 = 7  =>  0 pairs (_) / H6 = 7  =>  0 pairs (_)
I3,I4: 7.. / I3 = 7  =>  0 pairs (_) / I4 = 7  =>  3 pairs (_)
H2,I2: 8.. / H2 = 8  =>  2 pairs (_) / I2 = 8  =>  0 pairs (_)
* DURATION: 0:00:12.532669  START: 17:55:14.640747  END: 17:55:27.173416 2020-11-04
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I3,I4: 7.. / I3 = 7 ==>  0 pairs (_) / I4 = 7 ==>  3 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  3 pairs (_) / I3 = 7 ==>  0 pairs (_)
A3,H3: 5.. / A3 = 5 ==>  1 pairs (_) / H3 = 5 ==>  2 pairs (_)
C1,H1: 5.. / C1 = 5 ==>  2 pairs (_) / H1 = 5 ==>  1 pairs (_)
H1,H3: 5.. / H1 = 5 ==>  1 pairs (_) / H3 = 5 ==>  2 pairs (_)
C1,A3: 5.. / C1 = 5 ==>  2 pairs (_) / A3 = 5 ==>  1 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  2 pairs (_) / I2 = 8 ==>  0 pairs (_)
C2,C8: 6.. / C2 = 6 ==>  1 pairs (_) / C8 = 6 ==>  1 pairs (_)
B2,B8: 6.. / B2 = 6 ==>  1 pairs (_) / B8 = 6 ==>  1 pairs (_)
B8,C8: 6.. / B8 = 6 ==>  1 pairs (_) / C8 = 6 ==>  1 pairs (_)
B2,C2: 6.. / B2 = 6 ==>  1 pairs (_) / C2 = 6 ==>  1 pairs (_)
E6,H6: 7.. / E6 = 7 ==>  0 pairs (_) / H6 = 7 ==>  0 pairs (_)
E4,E6: 7.. / E4 = 7 ==>  0 pairs (_) / E6 = 7 ==>  0 pairs (_)
F5,F8: 5.. / F5 = 5 ==>  0 pairs (_) / F8 = 5 ==>  0 pairs (_)
E6,E9: 5.. / E6 = 5 ==>  0 pairs (_) / E9 = 5 ==>  0 pairs (_)
F8,E9: 5.. / F8 = 5 ==>  0 pairs (_) / E9 = 5 ==>  0 pairs (_)
F5,E6: 5.. / F5 = 5 ==>  0 pairs (_) / E6 = 5 ==>  0 pairs (_)
* DURATION: 0:02:23.032925  START: 17:55:27.173952  END: 17:57:50.206877 2020-11-04
* REASONING A3,H3: 5..
* DIS # A3: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,H1: 5..
* DIS # H1: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING H1,H3: 5..
* DIS # H1: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING C1,A3: 5..
* DIS # A3: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
I3,I4: 7.. / I3 = 7  =>  0 pairs (_) / I4 = 7 ==>  0 pairs (X)
* DURATION: 0:01:03.791259  START: 17:57:50.409754  END: 17:58:54.201013 2020-11-04
* REASONING I3,I4: 7..
* DIS # I4: 7 # I1: 1,2 # C9: 1,2 => CTR => C9: 8
* DIS # I4: 7 # I1: 1,2 + C9: 8 # E2: 1,2 => CTR => E2: 9
* DIS # I4: 7 # I1: 1,2 + C9: 8 + E2: 9 => CTR => I1: 3
* DIS # I4: 7 + I1: 3 # C4: 1,2 # I2: 1,2 => CTR => I2: 8
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 # B4: 1,2 => CTR => B4: 3,9
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 # B9: 3 => CTR => B9: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # G3: 9 => CTR => G3: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 # E2: 3 => CTR => E2: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 + E2: 1,2 # G7: 1,2 => CTR => G7: 8
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 + E2: 1,2 + G7: 8 => CTR => C4: 8
* DIS # I4: 7 + I1: 3 + C4: 8 # E2: 1,2 => CTR => E2: 3,9
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 # B9: 1,2 => CTR => B9: 3
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 # B4: 9 => CTR => B4: 1,2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 # E7: 3 => CTR => E7: 1,2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 + E7: 1,2 # G3: 1,9 => CTR => G3: 2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 + E7: 1,2 + G3: 2 => CTR => I4: 1,3,8
* STA I4: 1,3,8
* CNT  16 HDP CHAINS /  82 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

2210335;2018_12_06;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I3,I4: 7..:

* INC # I4: 7 # E1: 1,2 => UNS
* INC # I4: 7 # I1: 1,2 => UNS
* INC # I4: 7 # C4: 1,2 => UNS
* INC # I4: 7 # C9: 1,2 => UNS
* INC # I4: 7 # E2: 1,2 => UNS
* INC # I4: 7 # I2: 1,2 => UNS
* INC # I4: 7 # B4: 1,2 => UNS
* INC # I4: 7 # B9: 1,2 => UNS
* INC # I4: 7 # I1: 1,2 => UNS
* INC # I4: 7 # I2: 1,2 => UNS
* INC # I4: 7 # G3: 1,2 => UNS
* INC # I4: 7 # D3: 1,2 => UNS
* INC # I4: 7 # D3: 9 => UNS
* INC # I4: 7 # I8: 1,2 => UNS
* INC # I4: 7 # I8: 3,8 => UNS
* INC # I4: 7 => UNS
* INC # I3: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # H3: 7 # E1: 1,2 => UNS
* INC # H3: 7 # I1: 1,2 => UNS
* INC # H3: 7 # C4: 1,2 => UNS
* INC # H3: 7 # C9: 1,2 => UNS
* INC # H3: 7 # E2: 1,2 => UNS
* INC # H3: 7 # I2: 1,2 => UNS
* INC # H3: 7 # B4: 1,2 => UNS
* INC # H3: 7 # B9: 1,2 => UNS
* INC # H3: 7 # I1: 1,2 => UNS
* INC # H3: 7 # I2: 1,2 => UNS
* INC # H3: 7 # G3: 1,2 => UNS
* INC # H3: 7 # D3: 1,2 => UNS
* INC # H3: 7 # D3: 9 => UNS
* INC # H3: 7 # I8: 1,2 => UNS
* INC # H3: 7 # I8: 3,8 => UNS
* INC # H3: 7 => UNS
* INC # I3: 7 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for A3,H3: 5..:

* INC # H3: 5 # B2: 1,2 => UNS
* INC # H3: 5 # C2: 1,2 => UNS
* INC # H3: 5 # D3: 1,2 => UNS
* INC # H3: 5 # G3: 1,2 => UNS
* INC # H3: 5 # A7: 1,2 => UNS
* INC # H3: 5 # A8: 1,2 => UNS
* INC # H3: 5 # I1: 1,3 => UNS
* INC # H3: 5 # H2: 1,3 => UNS
* INC # H3: 5 # I2: 1,3 => UNS
* INC # H3: 5 # E1: 1,3 => UNS
* INC # H3: 5 # E1: 2 => UNS
* INC # H3: 5 # H4: 1,3 => UNS
* INC # H3: 5 # H8: 1,3 => UNS
* INC # H3: 5 => UNS
* INC # A3: 5 # B2: 1,2 => UNS
* INC # A3: 5 # C2: 1,2 => UNS
* INC # A3: 5 # E1: 1,2 => UNS
* INC # A3: 5 # I1: 1,2 => UNS
* INC # A3: 5 # C4: 1,2 => UNS
* INC # A3: 5 # C7: 1,2 => UNS
* DIS # A3: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* INC # A3: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,H1: 5..:

* INC # C1: 5 # B2: 1,2 => UNS
* INC # C1: 5 # C2: 1,2 => UNS
* INC # C1: 5 # D3: 1,2 => UNS
* INC # C1: 5 # G3: 1,2 => UNS
* INC # C1: 5 # A7: 1,2 => UNS
* INC # C1: 5 # A8: 1,2 => UNS
* INC # C1: 5 # I1: 1,3 => UNS
* INC # C1: 5 # H2: 1,3 => UNS
* INC # C1: 5 # I2: 1,3 => UNS
* INC # C1: 5 # E1: 1,3 => UNS
* INC # C1: 5 # E1: 2 => UNS
* INC # C1: 5 # H4: 1,3 => UNS
* INC # C1: 5 # H8: 1,3 => UNS
* INC # C1: 5 => UNS
* INC # H1: 5 # B2: 1,2 => UNS
* INC # H1: 5 # C2: 1,2 => UNS
* INC # H1: 5 # E1: 1,2 => UNS
* INC # H1: 5 # I1: 1,2 => UNS
* INC # H1: 5 # C4: 1,2 => UNS
* INC # H1: 5 # C7: 1,2 => UNS
* DIS # H1: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* INC # H1: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for H1,H3: 5..:

* INC # H3: 5 # B2: 1,2 => UNS
* INC # H3: 5 # C2: 1,2 => UNS
* INC # H3: 5 # D3: 1,2 => UNS
* INC # H3: 5 # G3: 1,2 => UNS
* INC # H3: 5 # A7: 1,2 => UNS
* INC # H3: 5 # A8: 1,2 => UNS
* INC # H3: 5 # I1: 1,3 => UNS
* INC # H3: 5 # H2: 1,3 => UNS
* INC # H3: 5 # I2: 1,3 => UNS
* INC # H3: 5 # E1: 1,3 => UNS
* INC # H3: 5 # E1: 2 => UNS
* INC # H3: 5 # H4: 1,3 => UNS
* INC # H3: 5 # H8: 1,3 => UNS
* INC # H3: 5 => UNS
* INC # H1: 5 # B2: 1,2 => UNS
* INC # H1: 5 # C2: 1,2 => UNS
* INC # H1: 5 # E1: 1,2 => UNS
* INC # H1: 5 # I1: 1,2 => UNS
* INC # H1: 5 # C4: 1,2 => UNS
* INC # H1: 5 # C7: 1,2 => UNS
* DIS # H1: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* INC # H1: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # H1: 5 + C8: 5,6,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,A3: 5..:

* INC # C1: 5 # B2: 1,2 => UNS
* INC # C1: 5 # C2: 1,2 => UNS
* INC # C1: 5 # D3: 1,2 => UNS
* INC # C1: 5 # G3: 1,2 => UNS
* INC # C1: 5 # A7: 1,2 => UNS
* INC # C1: 5 # A8: 1,2 => UNS
* INC # C1: 5 # I1: 1,3 => UNS
* INC # C1: 5 # H2: 1,3 => UNS
* INC # C1: 5 # I2: 1,3 => UNS
* INC # C1: 5 # E1: 1,3 => UNS
* INC # C1: 5 # E1: 2 => UNS
* INC # C1: 5 # H4: 1,3 => UNS
* INC # C1: 5 # H8: 1,3 => UNS
* INC # C1: 5 => UNS
* INC # A3: 5 # B2: 1,2 => UNS
* INC # A3: 5 # C2: 1,2 => UNS
* INC # A3: 5 # E1: 1,2 => UNS
* INC # A3: 5 # I1: 1,2 => UNS
* INC # A3: 5 # C4: 1,2 => UNS
* INC # A3: 5 # C7: 1,2 => UNS
* DIS # A3: 5 # C8: 1,2 => CTR => C8: 5,6,8,9
* INC # A3: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # B2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C2: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # E1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # I1: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C4: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C7: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 # C9: 1,2 => UNS
* INC # A3: 5 + C8: 5,6,8,9 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

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

* INC # H2: 8 # E1: 1,2 => UNS
* INC # H2: 8 # E2: 1,2 => UNS
* INC # H2: 8 # A3: 1,2 => UNS
* INC # H2: 8 # G3: 1,2 => UNS
* INC # H2: 8 # I3: 1,2 => UNS
* INC # H2: 8 # D8: 1,2 => UNS
* INC # H2: 8 # D9: 1,2 => UNS
* INC # H2: 8 # G7: 1,3 => UNS
* INC # H2: 8 # I8: 1,3 => UNS
* INC # H2: 8 # G9: 1,3 => UNS
* INC # H2: 8 # A8: 1,3 => UNS
* INC # H2: 8 # B8: 1,3 => UNS
* INC # H2: 8 # D8: 1,3 => UNS
* INC # H2: 8 # H1: 1,3 => UNS
* INC # H2: 8 # H4: 1,3 => UNS
* INC # H2: 8 => UNS
* INC # I2: 8 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for C2,C8: 6..:

* INC # C2: 6 # C1: 1,2 => UNS
* INC # C2: 6 # A3: 1,2 => UNS
* INC # C2: 6 # E2: 1,2 => UNS
* INC # C2: 6 # I2: 1,2 => UNS
* INC # C2: 6 # B4: 1,2 => UNS
* INC # C2: 6 # B9: 1,2 => UNS
* INC # C2: 6 => UNS
* INC # C8: 6 # C1: 1,2 => UNS
* INC # C8: 6 # A3: 1,2 => UNS
* INC # C8: 6 # E2: 1,2 => UNS
* INC # C8: 6 # I2: 1,2 => UNS
* INC # C8: 6 # C4: 1,2 => UNS
* INC # C8: 6 # C7: 1,2 => UNS
* INC # C8: 6 # C9: 1,2 => UNS
* INC # C8: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B2,B8: 6..:

* INC # B2: 6 # C1: 1,2 => UNS
* INC # B2: 6 # A3: 1,2 => UNS
* INC # B2: 6 # E2: 1,2 => UNS
* INC # B2: 6 # I2: 1,2 => UNS
* INC # B2: 6 # C4: 1,2 => UNS
* INC # B2: 6 # C7: 1,2 => UNS
* INC # B2: 6 # C9: 1,2 => UNS
* INC # B2: 6 => UNS
* INC # B8: 6 # C1: 1,2 => UNS
* INC # B8: 6 # A3: 1,2 => UNS
* INC # B8: 6 # E2: 1,2 => UNS
* INC # B8: 6 # I2: 1,2 => UNS
* INC # B8: 6 # B4: 1,2 => UNS
* INC # B8: 6 # B9: 1,2 => UNS
* INC # B8: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B8,C8: 6..:

* INC # B8: 6 # C1: 1,2 => UNS
* INC # B8: 6 # A3: 1,2 => UNS
* INC # B8: 6 # E2: 1,2 => UNS
* INC # B8: 6 # I2: 1,2 => UNS
* INC # B8: 6 # B4: 1,2 => UNS
* INC # B8: 6 # B9: 1,2 => UNS
* INC # B8: 6 => UNS
* INC # C8: 6 # C1: 1,2 => UNS
* INC # C8: 6 # A3: 1,2 => UNS
* INC # C8: 6 # E2: 1,2 => UNS
* INC # C8: 6 # I2: 1,2 => UNS
* INC # C8: 6 # C4: 1,2 => UNS
* INC # C8: 6 # C7: 1,2 => UNS
* INC # C8: 6 # C9: 1,2 => UNS
* INC # C8: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

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

* INC # B2: 6 # C1: 1,2 => UNS
* INC # B2: 6 # A3: 1,2 => UNS
* INC # B2: 6 # E2: 1,2 => UNS
* INC # B2: 6 # I2: 1,2 => UNS
* INC # B2: 6 # C4: 1,2 => UNS
* INC # B2: 6 # C7: 1,2 => UNS
* INC # B2: 6 # C9: 1,2 => UNS
* INC # B2: 6 => UNS
* INC # C2: 6 # C1: 1,2 => UNS
* INC # C2: 6 # A3: 1,2 => UNS
* INC # C2: 6 # E2: 1,2 => UNS
* INC # C2: 6 # I2: 1,2 => UNS
* INC # C2: 6 # B4: 1,2 => UNS
* INC # C2: 6 # B9: 1,2 => UNS
* INC # C2: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for E6,H6: 7..:

* INC # E6: 7 => UNS
* INC # H6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,E6: 7..:

* INC # E4: 7 => UNS
* INC # E6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F5,F8: 5..:

* INC # F5: 5 => UNS
* INC # F8: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E6,E9: 5..:

* INC # E6: 5 => UNS
* INC # E9: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F8,E9: 5..:

* INC # F8: 5 => UNS
* INC # E9: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F5,E6: 5..:

* INC # F5: 5 => UNS
* INC # E6: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for I3,I4: 7..:

* INC # I4: 7 # E1: 1,2 => UNS
* INC # I4: 7 # I1: 1,2 => UNS
* INC # I4: 7 # C4: 1,2 => UNS
* INC # I4: 7 # C9: 1,2 => UNS
* INC # I4: 7 # E2: 1,2 => UNS
* INC # I4: 7 # I2: 1,2 => UNS
* INC # I4: 7 # B4: 1,2 => UNS
* INC # I4: 7 # B9: 1,2 => UNS
* INC # I4: 7 # I1: 1,2 => UNS
* INC # I4: 7 # I2: 1,2 => UNS
* INC # I4: 7 # G3: 1,2 => UNS
* INC # I4: 7 # D3: 1,2 => UNS
* INC # I4: 7 # D3: 9 => UNS
* INC # I4: 7 # I8: 1,2 => UNS
* INC # I4: 7 # I8: 3,8 => UNS
* INC # I4: 7 # E1: 1,2 # C4: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # C9: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # E2: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # I2: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # B4: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # B9: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # E2: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # D3: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # E7: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # E7: 3 => UNS
* INC # I4: 7 # E1: 1,2 # I2: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # G3: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # D3: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # D3: 9 => UNS
* INC # I4: 7 # E1: 1,2 # I8: 1,2 => UNS
* INC # I4: 7 # E1: 1,2 # I8: 8 => UNS
* INC # I4: 7 # E1: 1,2 => UNS
* INC # I4: 7 # I1: 1,2 # C4: 1,2 => UNS
* DIS # I4: 7 # I1: 1,2 # C9: 1,2 => CTR => C9: 8
* DIS # I4: 7 # I1: 1,2 + C9: 8 # E2: 1,2 => CTR => E2: 9
* DIS # I4: 7 # I1: 1,2 + C9: 8 + E2: 9 => CTR => I1: 3
* INC # I4: 7 + I1: 3 # C4: 1,2 => UNS
* INC # I4: 7 + I1: 3 # C9: 1,2 => UNS
* INC # I4: 7 + I1: 3 # E2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # I2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # B4: 1,2 => UNS
* INC # I4: 7 + I1: 3 # B9: 1,2 => UNS
* INC # I4: 7 + I1: 3 # E2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # D3: 1,2 => UNS
* INC # I4: 7 + I1: 3 # E7: 1,2 => UNS
* INC # I4: 7 + I1: 3 # E7: 3 => UNS
* INC # I4: 7 + I1: 3 # I2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # G3: 1,2 => UNS
* INC # I4: 7 + I1: 3 # D3: 1,2 => UNS
* INC # I4: 7 + I1: 3 # D3: 9 => UNS
* INC # I4: 7 + I1: 3 # I8: 1,2 => UNS
* INC # I4: 7 + I1: 3 # I8: 8 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 # E2: 1,2 => UNS
* DIS # I4: 7 + I1: 3 # C4: 1,2 # I2: 1,2 => CTR => I2: 8
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 # E2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 # E2: 3,9 => UNS
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 # B4: 1,2 => CTR => B4: 3,9
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 # B9: 1,2 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 # B9: 1,2 => UNS
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 # B9: 3 => CTR => B9: 1,2
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # E2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # E2: 3,9 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # E2: 1,2 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # E2: 3,9 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # E7: 1,2 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # E7: 3 => UNS
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # G3: 1,2 => UNS
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 # G3: 9 => CTR => G3: 1,2
* INC # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 # E2: 1,2 => UNS
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 # E2: 3 => CTR => E2: 1,2
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 + E2: 1,2 # G7: 1,2 => CTR => G7: 8
* DIS # I4: 7 + I1: 3 # C4: 1,2 + I2: 8 + B4: 3,9 + B9: 1,2 + G3: 1,2 + E2: 1,2 + G7: 8 => CTR => C4: 8
* DIS # I4: 7 + I1: 3 + C4: 8 # E2: 1,2 => CTR => E2: 3,9
* INC # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 # B4: 1,2 => UNS
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 # B9: 1,2 => CTR => B9: 3
* INC # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 # B4: 1,2 => UNS
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 # B4: 9 => CTR => B4: 1,2
* INC # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 # E7: 1,2 => UNS
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 # E7: 3 => CTR => E7: 1,2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 + E7: 1,2 # G3: 1,9 => CTR => G3: 2
* DIS # I4: 7 + I1: 3 + C4: 8 + E2: 3,9 + B9: 3 + B4: 1,2 + E7: 1,2 + G3: 2 => CTR => I4: 1,3,8
* INC I4: 1,3,8 # I3: 7 => UNS
* STA I4: 1,3,8
* CNT  82 HDP CHAINS /  82 HYP OPENED