Analysis of xx-ph-01001233-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7..5.......4.9..7.4...7..3..7...2..9..3..57..1....6....4..8..1....1..2.. initial

Autosolve

position: 98.7..6..7..5.......4.9..7.4...7..3..7...2..9..3..57..1....6....4..8..1....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

Time used: 0:00:00.000008

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:48.114615

List of important HDP chains detected for B6,D6: 9..:

* DIS # D6: 9 # E2: 1,2 # I1: 1,2 => CTR => I1: 3,4,5
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 5 => CTR => C1: 1,2
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # B2: 1,2 => CTR => B2: 3,6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 # C2: 1,2 => CTR => C2: 6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 # I2: 1,2 => CTR => I2: 4,8
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # I3: 3,8 => CTR => I3: 1,2
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 6 => CTR => E5: 3,4
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 9 => CTR => B4: 2,6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 # A8: 2,3 => CTR => A8: 5,6
* PRF # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + A8: 5,6 # B3: 1,2 => SOL
* STA # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + A8: 5,6 + B3: 1,2
* CNT  10 HDP CHAINS /  44 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.......4.9..7.4...7..3..7...2..9..3..57..1....6....4..8..1....1..2.. initial
98.7..6..7..5.......4.9..7.4...7..3..7...2..9..3..57..1....6....4..8..1....1..2.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D5,E5: 3.. / D5 = 3  =>  1 pairs (_) / E5 = 3  =>  1 pairs (_)
E7,E9: 5.. / E7 = 5  =>  1 pairs (_) / E9 = 5  =>  0 pairs (_)
E2,D3: 6.. / E2 = 6  =>  2 pairs (_) / D3 = 6  =>  2 pairs (_)
F8,F9: 7.. / F8 = 7  =>  0 pairs (_) / F9 = 7  =>  1 pairs (_)
C7,I7: 7.. / C7 = 7  =>  0 pairs (_) / I7 = 7  =>  0 pairs (_)
G2,H2: 9.. / G2 = 9  =>  1 pairs (_) / H2 = 9  =>  0 pairs (_)
B6,D6: 9.. / B6 = 9  =>  0 pairs (_) / D6 = 9  =>  6 pairs (_)
* DURATION: 0:00:04.822481  START: 06:48:00.067738  END: 06:48:04.890219 2021-01-08
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,D6: 9.. / B6 = 9 ==>  0 pairs (_) / D6 = 9 ==>  6 pairs (_)
E2,D3: 6.. / E2 = 6 ==>  2 pairs (_) / D3 = 6 ==>  2 pairs (_)
D5,E5: 3.. / D5 = 3 ==>  1 pairs (_) / E5 = 3 ==>  1 pairs (_)
G2,H2: 9.. / G2 = 9 ==>  1 pairs (_) / H2 = 9 ==>  0 pairs (_)
F8,F9: 7.. / F8 = 7 ==>  0 pairs (_) / F9 = 7 ==>  1 pairs (_)
E7,E9: 5.. / E7 = 5 ==>  1 pairs (_) / E9 = 5 ==>  0 pairs (_)
C7,I7: 7.. / C7 = 7 ==>  0 pairs (_) / I7 = 7 ==>  0 pairs (_)
* DURATION: 0:00:43.336063  START: 06:48:04.890984  END: 06:48:48.227047 2021-01-08
* DCP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B6,D6: 9.. / B6 = 9  =>  0 pairs (X) / D6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:48.113516  START: 06:48:48.324935  END: 06:49:36.438451 2021-01-08
* REASONING B6,D6: 9..
* DIS # D6: 9 # E2: 1,2 # I1: 1,2 => CTR => I1: 3,4,5
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 5 => CTR => C1: 1,2
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # B2: 1,2 => CTR => B2: 3,6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 # C2: 1,2 => CTR => C2: 6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 # I2: 1,2 => CTR => I2: 4,8
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # I3: 3,8 => CTR => I3: 1,2
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 6 => CTR => E5: 3,4
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 9 => CTR => B4: 2,6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 # A8: 2,3 => CTR => A8: 5,6
* PRF # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + A8: 5,6 # B3: 1,2 => SOL
* STA # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + A8: 5,6 + B3: 1,2
* CNT  10 HDP CHAINS /  44 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1001233;13_07;GP;25;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,D6: 9..:

* INC # D6: 9 # E2: 1,2 => UNS
* INC # D6: 9 # E2: 6 => UNS
* INC # D6: 9 # C1: 1,2 => UNS
* INC # D6: 9 # I1: 1,2 => UNS
* INC # D6: 9 # D5: 6,8 => UNS
* INC # D6: 9 # D5: 3,4 => UNS
* INC # D6: 9 # C4: 6,8 => UNS
* INC # D6: 9 # I4: 6,8 => UNS
* INC # D6: 9 # D3: 6,8 => UNS
* INC # D6: 9 # D3: 2 => UNS
* INC # D6: 9 # C4: 1,8 => UNS
* INC # D6: 9 # G4: 1,8 => UNS
* INC # D6: 9 # I4: 1,8 => UNS
* INC # D6: 9 # F2: 1,8 => UNS
* INC # D6: 9 # F3: 1,8 => UNS
* INC # D6: 9 # D7: 2,3 => UNS
* INC # D6: 9 # E7: 2,3 => UNS
* INC # D6: 9 # A8: 2,3 => UNS
* INC # D6: 9 # A8: 5,6 => UNS
* INC # D6: 9 # C8: 7,9 => UNS
* INC # D6: 9 # C8: 2,5,6 => UNS
* INC # D6: 9 # C9: 7,9 => UNS
* INC # D6: 9 # C9: 5,6,8 => UNS
* INC # D6: 9 => UNS
* INC # B6: 9 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for E2,D3: 6..:

* INC # E2: 6 # C1: 1,2 => UNS
* INC # E2: 6 # B2: 1,2 => UNS
* INC # E2: 6 # B3: 1,2 => UNS
* INC # E2: 6 # I2: 1,2 => UNS
* INC # E2: 6 # I2: 3,4,8 => UNS
* INC # E2: 6 # C4: 1,2 => UNS
* INC # E2: 6 # C4: 5,6,8,9 => UNS
* INC # E2: 6 # E5: 1,4 => UNS
* INC # E2: 6 # E5: 3 => UNS
* INC # E2: 6 # I6: 1,4 => UNS
* INC # E2: 6 # I6: 2,6,8 => UNS
* INC # E2: 6 # E1: 1,4 => UNS
* INC # E2: 6 # E1: 2,3 => UNS
* INC # E2: 6 => UNS
* INC # D3: 6 # D6: 8,9 => UNS
* INC # D3: 6 # D6: 4 => UNS
* INC # D3: 6 # C4: 8,9 => UNS
* INC # D3: 6 # C4: 1,2,5,6 => UNS
* INC # D3: 6 # B4: 1,9 => UNS
* INC # D3: 6 # C4: 1,9 => UNS
* INC # D3: 6 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for D5,E5: 3..:

* INC # D5: 3 # D7: 2,9 => UNS
* INC # D5: 3 # D7: 4 => UNS
* INC # D5: 3 # C8: 2,9 => UNS
* INC # D5: 3 # C8: 5,6,7 => UNS
* INC # D5: 3 => UNS
* INC # E5: 3 # E7: 4,5 => UNS
* INC # E5: 3 # E7: 2 => UNS
* INC # E5: 3 # H9: 4,5 => UNS
* INC # E5: 3 # I9: 4,5 => UNS
* INC # E5: 3 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for G2,H2: 9..:

* INC # G2: 9 # G7: 3,5 => UNS
* INC # G2: 9 # I7: 3,5 => UNS
* INC # G2: 9 # I8: 3,5 => UNS
* INC # G2: 9 # I9: 3,5 => UNS
* INC # G2: 9 # A8: 3,5 => UNS
* INC # G2: 9 # A8: 2,6 => UNS
* INC # G2: 9 # G3: 3,5 => UNS
* INC # G2: 9 # G3: 1,8 => UNS
* INC # G2: 9 => UNS
* INC # H2: 9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F8,F9: 7..:

* INC # F9: 7 # D7: 3,9 => UNS
* INC # F9: 7 # D8: 3,9 => UNS
* INC # F9: 7 # G8: 3,9 => UNS
* INC # F9: 7 # G8: 5 => UNS
* INC # F9: 7 => UNS
* INC # F8: 7 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E7,E9: 5..:

* INC # E7: 5 # D7: 3,4 => UNS
* INC # E7: 5 # F9: 3,4 => UNS
* INC # E7: 5 # I9: 3,4 => UNS
* INC # E7: 5 # I9: 5,6,7,8 => UNS
* INC # E7: 5 # E1: 3,4 => UNS
* INC # E7: 5 # E2: 3,4 => UNS
* INC # E7: 5 # E5: 3,4 => UNS
* INC # E7: 5 => UNS
* INC # E9: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for C7,I7: 7..:

* INC # C7: 7 => UNS
* INC # I7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,D6: 9..:

* INC # D6: 9 # E2: 1,2 => UNS
* INC # D6: 9 # E2: 6 => UNS
* INC # D6: 9 # C1: 1,2 => UNS
* INC # D6: 9 # I1: 1,2 => UNS
* INC # D6: 9 # D5: 6,8 => UNS
* INC # D6: 9 # D5: 3,4 => UNS
* INC # D6: 9 # C4: 6,8 => UNS
* INC # D6: 9 # I4: 6,8 => UNS
* INC # D6: 9 # D3: 6,8 => UNS
* INC # D6: 9 # D3: 2 => UNS
* INC # D6: 9 # C4: 1,8 => UNS
* INC # D6: 9 # G4: 1,8 => UNS
* INC # D6: 9 # I4: 1,8 => UNS
* INC # D6: 9 # F2: 1,8 => UNS
* INC # D6: 9 # F3: 1,8 => UNS
* INC # D6: 9 # D7: 2,3 => UNS
* INC # D6: 9 # E7: 2,3 => UNS
* INC # D6: 9 # A8: 2,3 => UNS
* INC # D6: 9 # A8: 5,6 => UNS
* INC # D6: 9 # C8: 7,9 => UNS
* INC # D6: 9 # C8: 2,5,6 => UNS
* INC # D6: 9 # C9: 7,9 => UNS
* INC # D6: 9 # C9: 5,6,8 => UNS
* INC # D6: 9 # E2: 1,2 # C1: 1,2 => UNS
* DIS # D6: 9 # E2: 1,2 # I1: 1,2 => CTR => I1: 3,4,5
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 1,2 => UNS
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 5 => CTR => C1: 1,2
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # F2: 3,4 => UNS
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # F2: 8 => UNS
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # I1: 3,4 => UNS
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # I1: 5 => UNS
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # B2: 1,2 => CTR => B2: 3,6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 # C2: 1,2 => CTR => C2: 6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 # I2: 1,2 => CTR => I2: 4,8
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # G3: 3,8 => UNS
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # I3: 3,8 => CTR => I3: 1,2
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 3,4 => UNS
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 6 => CTR => E5: 3,4
* INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 2,6 => UNS
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 9 => CTR => B4: 2,6
* DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 # A8: 2,3 => CTR => A8: 5,6
* PRF # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + A8: 5,6 # B3: 1,2 => SOL
* STA # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + A8: 5,6 + B3: 1,2
* CNT  42 HDP CHAINS /  44 HYP OPENED