Analysis of xx-ph-00000785-955-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2......9..6.8.1..7.......5..46....8....4..1....3.84...9.....2.5....7..1..1.3.8.. initial

Autosolve

position: .2......9..6.8.1..7.......5..46....8....4..1....3.84...9.....2.5....7..1..1.3.8.. autosolve
Autosolve

Pair Reduction Variants

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 C8,A9: 2..:

* DIS # A9: 2 # C7: 3,8 => CTR => C7: 7
* DIS # A9: 2 + C7: 7 # C5: 3,8 => CTR => C5: 2,5,9
* CNT   2 HDP CHAINS /  34 HYP OPENED

List of important HDP chains detected for C7,B9: 7..:

* DIS # B9: 7 # C8: 3,8 => CTR => C8: 2
* DIS # B9: 7 + C8: 2 # C5: 3,8 => CTR => C5: 5,7,9
* CNT   2 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for I2,G3: 2..:

* DIS # I2: 2 # G7: 3,6 => CTR => G7: 5,7
* PRF # I2: 2 + G7: 5,7 # G8: 3,6 => SOL
* STA # I2: 2 + G7: 5,7 + G8: 3,6
* CNT   2 HDP CHAINS /   9 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......9..6.8.1..7.......5..46....8....4..1....3.84...9.....2.5....7..1..1.3.8.. initial
.2......9..6.8.1..7.......5..46....8....4..1....3.84...9.....2.5....7..1..1.3.8.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,B3: 1.. / A1 = 1  =>  0 pairs (_) / B3 = 1  =>  0 pairs (_)
I2,G3: 2.. / I2 = 2  =>  2 pairs (_) / G3 = 2  =>  0 pairs (_)
C8,A9: 2.. / C8 = 2  =>  3 pairs (_) / A9 = 2  =>  1 pairs (_)
C1,B2: 5.. / C1 = 5  =>  1 pairs (_) / B2 = 5  =>  1 pairs (_)
G7,H9: 5.. / G7 = 5  =>  1 pairs (_) / H9 = 5  =>  1 pairs (_)
C7,B9: 7.. / C7 = 7  =>  1 pairs (_) / B9 = 7  =>  2 pairs (_)
H1,H3: 8.. / H1 = 8  =>  1 pairs (_) / H3 = 8  =>  1 pairs (_)
D7,D8: 8.. / D7 = 8  =>  1 pairs (_) / D8 = 8  =>  1 pairs (_)
A2,C3: 9.. / A2 = 9  =>  1 pairs (_) / C3 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.362933  START: 04:30:10.166659  END: 04:30:16.529592 2020-11-22
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C8,A9: 2.. / C8 = 2 ==>  3 pairs (_) / A9 = 2 ==>  2 pairs (_)
C7,B9: 7.. / C7 = 7 ==>  1 pairs (_) / B9 = 7 ==>  5 pairs (_)
I2,G3: 2.. / I2 = 2 ==>  0 pairs (*) / G3 = 2  =>  0 pairs (X)
* DURATION: 0:00:48.263627  START: 04:30:16.530434  END: 04:31:04.794061 2020-11-22
* REASONING C8,A9: 2..
* DIS # A9: 2 # C7: 3,8 => CTR => C7: 7
* DIS # A9: 2 + C7: 7 # C5: 3,8 => CTR => C5: 2,5,9
* CNT   2 HDP CHAINS /  34 HYP OPENED
* REASONING C7,B9: 7..
* DIS # B9: 7 # C8: 3,8 => CTR => C8: 2
* DIS # B9: 7 + C8: 2 # C5: 3,8 => CTR => C5: 5,7,9
* CNT   2 HDP CHAINS /  36 HYP OPENED
* REASONING I2,G3: 2..
* DIS # I2: 2 # G7: 3,6 => CTR => G7: 5,7
* PRF # I2: 2 + G7: 5,7 # G8: 3,6 => SOL
* STA # I2: 2 + G7: 5,7 + G8: 3,6
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

785;955;elev;23;11.30;11.30;10.00

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C8,A9: 2..:

* INC # C8: 2 # A7: 4,6 => UNS
* INC # C8: 2 # B8: 4,6 => UNS
* INC # C8: 2 # B9: 4,6 => UNS
* INC # C8: 2 # I9: 4,6 => UNS
* INC # C8: 2 # I9: 7 => UNS
* INC # C8: 2 # G8: 6,9 => UNS
* INC # C8: 2 # H8: 6,9 => UNS
* INC # C8: 2 # E3: 6,9 => UNS
* INC # C8: 2 # E3: 1,2 => UNS
* INC # C8: 2 # D9: 5,9 => UNS
* INC # C8: 2 # F9: 5,9 => UNS
* INC # C8: 2 # H4: 5,9 => UNS
* INC # C8: 2 # H6: 5,9 => UNS
* INC # C8: 2 => UNS
* INC # A9: 2 # A7: 3,8 => UNS
* DIS # A9: 2 # C7: 3,8 => CTR => C7: 7
* INC # A9: 2 + C7: 7 # B8: 3,8 => UNS
* INC # A9: 2 + C7: 7 # C1: 3,8 => UNS
* INC # A9: 2 + C7: 7 # C3: 3,8 => UNS
* DIS # A9: 2 + C7: 7 # C5: 3,8 => CTR => C5: 2,5,9
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # A7: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # B8: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # C1: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # C3: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # A7: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # B8: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # C1: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # C3: 3,8 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # A7: 4,6 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # B8: 4,6 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # F9: 4,6 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # H9: 4,6 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 # I9: 4,6 => UNS
* INC # A9: 2 + C7: 7 + C5: 2,5,9 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for C7,B9: 7..:

* INC # B9: 7 # A7: 3,8 => UNS
* INC # B9: 7 # B8: 3,8 => UNS
* DIS # B9: 7 # C8: 3,8 => CTR => C8: 2
* INC # B9: 7 + C8: 2 # C1: 3,8 => UNS
* INC # B9: 7 + C8: 2 # C3: 3,8 => UNS
* DIS # B9: 7 + C8: 2 # C5: 3,8 => CTR => C5: 5,7,9
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # A7: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # B8: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # C1: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # C3: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # I7: 4,6 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # H8: 4,6 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # A7: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # B8: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # C1: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # C3: 3,8 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # A7: 4,6 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # B8: 4,6 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # G8: 6,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # H8: 6,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # E3: 6,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # E3: 1,2 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # D9: 5,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # F9: 5,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # H4: 5,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # H6: 5,9 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # I7: 4,6 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 # H8: 4,6 => UNS
* INC # B9: 7 + C8: 2 + C5: 5,7,9 => UNS
* INC # C7: 7 # A7: 4,6 => UNS
* INC # C7: 7 # B8: 4,6 => UNS
* INC # C7: 7 # A9: 4,6 => UNS
* INC # C7: 7 # F9: 4,6 => UNS
* INC # C7: 7 # H9: 4,6 => UNS
* INC # C7: 7 # I9: 4,6 => UNS
* INC # C7: 7 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for I2,G3: 2..:

* INC # I2: 2 # G1: 3,6 => UNS
* INC # I2: 2 # H1: 3,6 => UNS
* INC # I2: 2 # H3: 3,6 => UNS
* INC # I2: 2 # F3: 3,6 => UNS
* INC # I2: 2 # F3: 1,2,4,9 => UNS
* INC # I2: 2 # G5: 3,6 => UNS
* DIS # I2: 2 # G7: 3,6 => CTR => G7: 5,7
* PRF # I2: 2 + G7: 5,7 # G8: 3,6 => SOL
* STA # I2: 2 + G7: 5,7 + G8: 3,6
* CNT   8 HDP CHAINS /   9 HYP OPENED