Analysis of xx-ph-00000029-7-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2....78.4.......6.9..7..1....5....3.....1.......9.12..7..1.8..5....4.....67.3... initial

Autosolve

position: .2....78.4.7.....6.9..7..1....5....3.....1.......9.12..7..1.8..5....4.....67.3... 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

Time used: 0:00:00.000005

List of important HDP chains detected for I8,I9: 1..:

* DIS # I8: 1 # B6: 3,8 => CTR => B6: 4,5,6
* CNT   1 HDP CHAINS /  26 HYP OPENED

List of important HDP chains detected for B2,D2: 1..:

* DIS # B2: 1 # C8: 3,8 => CTR => C8: 1,2,9
* DIS # B2: 1 + C8: 1,2,9 # B5: 4,8 => CTR => B5: 3,5,6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 # B6: 4,8 => CTR => B6: 3,5,6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # E1: 3,6 => CTR => E1: 4,5
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 # B4: 4,8 => CTR => B4: 6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 + B4: 6 => CTR => B2: 3,5,8
* STA B2: 3,5,8
* CNT   6 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for D1,D2: 1..:

* DIS # D1: 1 # C8: 3,8 => CTR => C8: 1,2,9
* DIS # D1: 1 + C8: 1,2,9 # B5: 4,8 => CTR => B5: 3,5,6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 # B6: 4,8 => CTR => B6: 3,5,6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # E1: 3,6 => CTR => E1: 4,5
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 # B4: 4,8 => CTR => B4: 6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 + B4: 6 => CTR => D1: 3,4,6,9
* STA D1: 3,4,6,9
* CNT   6 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for F4,F6: 7..:

* DIS # F6: 7 # A5: 3,8 => CTR => A5: 2,7,9
* CNT   1 HDP CHAINS /  27 HYP OPENED

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

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

.2....78.4.......6.9..7..1....5....3.....1.......9.12..7..1.8..5....4.....67.3... initial
.2....78.4.7.....6.9..7..1....5....3.....1.......9.12..7..1.8..5....4.....67.3... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D1,D2: 1.. / D1 = 1  =>  4 pairs (_) / D2 = 1  =>  0 pairs (_)
I8,I9: 1.. / I8 = 1  =>  5 pairs (_) / I9 = 1  =>  1 pairs (_)
B2,D2: 1.. / B2 = 1  =>  4 pairs (_) / D2 = 1  =>  0 pairs (_)
C7,B9: 4.. / C7 = 4  =>  1 pairs (_) / B9 = 4  =>  1 pairs (_)
F7,E9: 5.. / F7 = 5  =>  2 pairs (_) / E9 = 5  =>  2 pairs (_)
A1,A3: 6.. / A1 = 6  =>  2 pairs (_) / A3 = 6  =>  1 pairs (_)
F4,F6: 7.. / F4 = 7  =>  1 pairs (_) / F6 = 7  =>  1 pairs (_)
H8,I8: 7.. / H8 = 7  =>  4 pairs (_) / I8 = 7  =>  1 pairs (_)
I5,I6: 8.. / I5 = 8  =>  0 pairs (_) / I6 = 8  =>  2 pairs (_)
* DURATION: 0:00:08.196975  START: 19:23:03.670250  END: 19:23:11.867225 2017-04-29
* CP COUNT: (9)

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I8,I9: 1.. / I8 = 1 ==>  5 pairs (_) / I9 = 1 ==>  1 pairs (_)
H8,I8: 7.. / H8 = 7 ==>  4 pairs (_) / I8 = 7 ==>  1 pairs (_)
B2,D2: 1.. / B2 = 1 ==>  0 pairs (X) / D2 = 1  =>  0 pairs (_)
D1,D2: 1.. / D1 = 1 ==>  0 pairs (X) / D2 = 1  =>  0 pairs (_)
F7,E9: 5.. / F7 = 5 ==>  2 pairs (_) / E9 = 5 ==>  2 pairs (_)
A1,A3: 6.. / A1 = 6 ==>  2 pairs (_) / A3 = 6 ==>  1 pairs (_)
I5,I6: 8.. / I5 = 8 ==>  0 pairs (_) / I6 = 8 ==>  2 pairs (_)
F4,F6: 7.. / F4 = 7 ==>  1 pairs (_) / F6 = 7 ==>  1 pairs (_)
C7,B9: 4.. / C7 = 4 ==>  1 pairs (_) / B9 = 4 ==>  1 pairs (_)
* DURATION: 0:02:00.658507  START: 19:23:11.867609  END: 19:25:12.526116 2017-04-29
* REASONING I8,I9: 1..
* DIS # I8: 1 # B6: 3,8 => CTR => B6: 4,5,6
* CNT   1 HDP CHAINS /  26 HYP OPENED
* REASONING B2,D2: 1..
* DIS # B2: 1 # C8: 3,8 => CTR => C8: 1,2,9
* DIS # B2: 1 + C8: 1,2,9 # B5: 4,8 => CTR => B5: 3,5,6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 # B6: 4,8 => CTR => B6: 3,5,6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # E1: 3,6 => CTR => E1: 4,5
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 # B4: 4,8 => CTR => B4: 6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 + B4: 6 => CTR => B2: 3,5,8
* STA B2: 3,5,8
* CNT   6 HDP CHAINS /  24 HYP OPENED
* REASONING D1,D2: 1..
* DIS # D1: 1 # C8: 3,8 => CTR => C8: 1,2,9
* DIS # D1: 1 + C8: 1,2,9 # B5: 4,8 => CTR => B5: 3,5,6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 # B6: 4,8 => CTR => B6: 3,5,6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # E1: 3,6 => CTR => E1: 4,5
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 # B4: 4,8 => CTR => B4: 6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 + B4: 6 => CTR => D1: 3,4,6,9
* STA D1: 3,4,6,9
* CNT   6 HDP CHAINS /  24 HYP OPENED
* REASONING F4,F6: 7..
* DIS # F6: 7 # A5: 3,8 => CTR => A5: 2,7,9
* CNT   1 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (9)
* CLUE FOUND

Header Info

29;7;elev;22;11.80;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I8,I9: 1..:

* INC # I8: 1 # A5: 7,8 => UNS
* INC # I8: 1 # A5: 2,3,9 => UNS
* INC # I8: 1 # A6: 7,8 => UNS
* INC # I8: 1 # F6: 7,8 => UNS
* INC # I8: 1 # C8: 3,8 => UNS
* INC # I8: 1 # C8: 2,9 => UNS
* INC # I8: 1 # B2: 3,8 => UNS
* INC # I8: 1 # B5: 3,8 => UNS
* DIS # I8: 1 # B6: 3,8 => CTR => B6: 4,5,6
* INC # I8: 1 + B6: 4,5,6 # C8: 3,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # C8: 2,9 => UNS
* INC # I8: 1 + B6: 4,5,6 # B2: 3,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # B5: 3,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # A5: 7,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # A5: 2,3,9 => UNS
* INC # I8: 1 + B6: 4,5,6 # A6: 7,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # F6: 7,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # C8: 3,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # C8: 2,9 => UNS
* INC # I8: 1 + B6: 4,5,6 # B2: 3,8 => UNS
* INC # I8: 1 + B6: 4,5,6 # B5: 3,8 => UNS
* INC # I8: 1 + B6: 4,5,6 => UNS
* INC # I9: 1 # B4: 4,8 => UNS
* INC # I9: 1 # B5: 4,8 => UNS
* INC # I9: 1 # B6: 4,8 => UNS
* INC # I9: 1 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for H8,I8: 7..:

* INC # H8: 7 # A5: 7,8 => UNS
* INC # H8: 7 # A5: 2,3,9 => UNS
* INC # H8: 7 # A6: 7,8 => UNS
* INC # H8: 7 # F6: 7,8 => UNS
* INC # H8: 7 => UNS
* INC # I8: 7 # B4: 4,8 => UNS
* INC # I8: 7 # B5: 4,8 => UNS
* INC # I8: 7 # B6: 4,8 => UNS
* INC # I8: 7 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for B2,D2: 1..:

* INC # B2: 1 # A3: 3,6 => UNS
* INC # B2: 1 # A3: 8 => UNS
* INC # B2: 1 # E1: 3,6 => UNS
* INC # B2: 1 # E1: 4,5 => UNS
* INC # B2: 1 # C3: 3,5 => UNS
* INC # B2: 1 # C3: 8 => UNS
* INC # B2: 1 # E1: 3,5 => UNS
* INC # B2: 1 # E1: 4,6 => UNS
* DIS # B2: 1 # C8: 3,8 => CTR => C8: 1,2,9
* INC # B2: 1 + C8: 1,2,9 # B5: 3,8 => UNS
* INC # B2: 1 + C8: 1,2,9 # B6: 3,8 => UNS
* INC # B2: 1 + C8: 1,2,9 # B4: 4,8 => UNS
* DIS # B2: 1 + C8: 1,2,9 # B5: 4,8 => CTR => B5: 3,5,6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 # B6: 4,8 => CTR => B6: 3,5,6
* INC # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 4,8 => UNS
* INC # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 6 => UNS
* INC # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 4,8 => UNS
* INC # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 6 => UNS
* INC # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # A3: 3,6 => UNS
* INC # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # A3: 8 => UNS
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # E1: 3,6 => CTR => E1: 4,5
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 # B4: 4,8 => CTR => B4: 6
* DIS # B2: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 + B4: 6 => CTR => B2: 3,5,8
* INC B2: 3,5,8 # D2: 1 => UNS
* STA B2: 3,5,8
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for D1,D2: 1..:

* INC # D1: 1 # A3: 3,6 => UNS
* INC # D1: 1 # A3: 8 => UNS
* INC # D1: 1 # E1: 3,6 => UNS
* INC # D1: 1 # E1: 4,5 => UNS
* INC # D1: 1 # C3: 3,5 => UNS
* INC # D1: 1 # C3: 8 => UNS
* INC # D1: 1 # E1: 3,5 => UNS
* INC # D1: 1 # E1: 4,6 => UNS
* DIS # D1: 1 # C8: 3,8 => CTR => C8: 1,2,9
* INC # D1: 1 + C8: 1,2,9 # B5: 3,8 => UNS
* INC # D1: 1 + C8: 1,2,9 # B6: 3,8 => UNS
* INC # D1: 1 + C8: 1,2,9 # B4: 4,8 => UNS
* DIS # D1: 1 + C8: 1,2,9 # B5: 4,8 => CTR => B5: 3,5,6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 # B6: 4,8 => CTR => B6: 3,5,6
* INC # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 4,8 => UNS
* INC # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 6 => UNS
* INC # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 4,8 => UNS
* INC # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # B4: 6 => UNS
* INC # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # A3: 3,6 => UNS
* INC # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # A3: 8 => UNS
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 # E1: 3,6 => CTR => E1: 4,5
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 # B4: 4,8 => CTR => B4: 6
* DIS # D1: 1 + C8: 1,2,9 + B5: 3,5,6 + B6: 3,5,6 + E1: 4,5 + B4: 6 => CTR => D1: 3,4,6,9
* INC D1: 3,4,6,9 # D2: 1 => UNS
* STA D1: 3,4,6,9
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for F7,E9: 5..:

* INC # F7: 5 # D8: 2,8 => UNS
* INC # F7: 5 # E8: 2,8 => UNS
* INC # F7: 5 # A9: 2,8 => UNS
* INC # F7: 5 # A9: 1,9 => UNS
* INC # F7: 5 # E2: 2,8 => UNS
* INC # F7: 5 # E4: 2,8 => UNS
* INC # F7: 5 # E5: 2,8 => UNS
* INC # F7: 5 => UNS
* INC # E9: 5 # C8: 1,3 => UNS
* INC # E9: 5 # C8: 2,9 => UNS
* INC # E9: 5 # B2: 1,3 => UNS
* INC # E9: 5 # B2: 5,8 => UNS
* INC # E9: 5 # H7: 4,9 => UNS
* INC # E9: 5 # I7: 4,9 => UNS
* INC # E9: 5 # G9: 4,9 => UNS
* INC # E9: 5 # I9: 4,9 => UNS
* INC # E9: 5 # H4: 4,9 => UNS
* INC # E9: 5 # H5: 4,9 => UNS
* INC # E9: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for A1,A3: 6..:

* INC # A1: 6 # B2: 3,8 => UNS
* INC # A1: 6 # C3: 3,8 => UNS
* INC # A1: 6 # D3: 3,8 => UNS
* INC # A1: 6 # D3: 2,4,6 => UNS
* INC # A1: 6 # A5: 3,8 => UNS
* INC # A1: 6 # A6: 3,8 => UNS
* INC # A1: 6 # F2: 5,9 => UNS
* INC # A1: 6 # F2: 2,8 => UNS
* INC # A1: 6 # I1: 5,9 => UNS
* INC # A1: 6 # I1: 4 => UNS
* INC # A1: 6 # F7: 5,9 => UNS
* INC # A1: 6 # F7: 2,6 => UNS
* INC # A1: 6 => UNS
* INC # A3: 6 # C1: 1,3 => UNS
* INC # A3: 6 # B2: 1,3 => UNS
* INC # A3: 6 # D1: 1,3 => UNS
* INC # A3: 6 # D1: 4,6,9 => UNS
* INC # A3: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for I5,I6: 8..:

* INC # I6: 8 # A5: 3,7 => UNS
* INC # I6: 8 # A5: 2,8,9 => UNS
* INC # I6: 8 # F4: 6,7 => UNS
* INC # I6: 8 # F4: 2,8 => UNS
* INC # I6: 8 => UNS
* INC # I5: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for F4,F6: 7..:

* INC # F4: 7 # E4: 6,8 => UNS
* INC # F4: 7 # D5: 6,8 => UNS
* INC # F4: 7 # E5: 6,8 => UNS
* INC # F4: 7 # D6: 6,8 => UNS
* INC # F4: 7 # B6: 6,8 => UNS
* INC # F4: 7 # B6: 3,4,5 => UNS
* INC # F4: 7 # F3: 6,8 => UNS
* INC # F4: 7 # F3: 2,5 => UNS
* INC # F4: 7 => UNS
* DIS # F6: 7 # A5: 3,8 => CTR => A5: 2,7,9
* INC # F6: 7 + A5: 2,7,9 # B5: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # C5: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # B6: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # C6: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # D6: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # D6: 4,6 => UNS
* INC # F6: 7 + A5: 2,7,9 # A3: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # A3: 6 => UNS
* INC # F6: 7 + A5: 2,7,9 # B5: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # C5: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # B6: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # C6: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # D6: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # D6: 4,6 => UNS
* INC # F6: 7 + A5: 2,7,9 # A3: 3,8 => UNS
* INC # F6: 7 + A5: 2,7,9 # A3: 6 => UNS
* INC # F6: 7 + A5: 2,7,9 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for C7,B9: 4..:

* INC # C7: 4 # B8: 1,8 => UNS
* INC # C7: 4 # C8: 1,8 => UNS
* INC # C7: 4 # A9: 1,8 => UNS
* INC # C7: 4 # B2: 1,8 => UNS
* INC # C7: 4 # B4: 1,8 => UNS
* INC # C7: 4 => UNS
* INC # B9: 4 # H7: 5,9 => UNS
* INC # B9: 4 # I7: 5,9 => UNS
* INC # B9: 4 # G9: 5,9 => UNS
* INC # B9: 4 # I9: 5,9 => UNS
* INC # B9: 4 # H2: 5,9 => UNS
* INC # B9: 4 # H5: 5,9 => UNS
* INC # B9: 4 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED