Analysis of xx-ph-02319307-2019_03_16-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..7......5...4.6....36..8.9....89.7........3..2.7....3...51.....8...8...6. initial

Autosolve

position: 98.7..6..7.6....5...4.6....36..8.9....89.7.36...6.3..287...63..651.....8...8...6. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:29.480920

The following important HDP chains were detected:

* DIS # C9: 2,9 # I2: 1,4 => CTR => I2: 3,9
* PRF # C9: 2,9 + I2: 3,9 # F1: 1,4 => SOL
* STA # C9: 2,9 + I2: 3,9 + F1: 1,4
* CNT   2 HDP CHAINS /  39 HYP OPENED

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

Details

Positions

98.7..6..7......5...4.6....36..8.9....89.7........3..2.7....3...51.....8...8...6. initial
98.7..6..7.6....5...4.6....36..8.9....89.7.36...6.3..287...63..651.....8...8...6. autosolve
983754621716298453524361897367582914248917536195643782879126345651439278432875169 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
C7: 2,9
A9: 2,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B9,C9: 3.. / B9 = 3  => 10 pairs (_) / C9 = 3  =>  3 pairs (_)
D8,E8: 3.. / D8 = 3  =>  2 pairs (_) / E8 = 3  =>  3 pairs (_)
C1,C9: 3.. / C1 = 3  => 10 pairs (_) / C9 = 3  =>  3 pairs (_)
A9,B9: 4.. / A9 = 4  =>  2 pairs (_) / B9 = 4  =>  4 pairs (_)
C1,A3: 5.. / C1 = 5  =>  5 pairs (_) / A3 = 5  =>  7 pairs (_)
C4,C6: 7.. / C4 = 7  =>  6 pairs (_) / C6 = 7  =>  3 pairs (_)
E8,E9: 7.. / E8 = 7  =>  3 pairs (_) / E9 = 7  =>  2 pairs (_)
F2,F3: 8.. / F2 = 8  =>  2 pairs (_) / F3 = 8  =>  2 pairs (_)
G6,H6: 8.. / G6 = 8  =>  2 pairs (_) / H6 = 8  =>  2 pairs (_)
F2,G2: 8.. / F2 = 8  =>  2 pairs (_) / G2 = 8  =>  2 pairs (_)
H3,H6: 8.. / H3 = 8  =>  2 pairs (_) / H6 = 8  =>  2 pairs (_)
B6,C6: 9.. / B6 = 9  =>  3 pairs (_) / C6 = 9  =>  6 pairs (_)
B6,B9: 9.. / B6 = 9  =>  3 pairs (_) / B9 = 9  =>  6 pairs (_)
* DURATION: 0:00:10.246453  START: 23:56:18.071352  END: 23:56:28.317805 2020-11-09
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:29.229624  START: 23:56:35.765026  END: 23:57:04.994650 2020-11-09
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-02319307-2019_03_16-base-pr-002.dot
* REASONING
* DIS # C9: 2,9 # I2: 1,4 => CTR => I2: 3,9
* PRF # C9: 2,9 + I2: 3,9 # F1: 1,4 => SOL
* STA # C9: 2,9 + I2: 3,9 + F1: 1,4
* CNT   2 HDP CHAINS /  39 HYP OPENED

Header Info

2319307;2019_03_16;PAQ;24;11.40;1.20;1.20

Solution

position: 983754621716298453524361897367582914248917536195643782879126345651439278432875169 solved
Solution

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # B9: 2,9 => UNS
* INC # C9: 2,9 => UNS
* INC # E7: 2,9 => UNS
* INC # H7: 2,9 => UNS
* INC # B9: 2,4 => UNS
* INC # B9: 3,9 => UNS
* INC # A5: 2,4 => UNS
* INC # A5: 1,5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 2,9 => UNS
* INC # C9: 2,9 => UNS
* INC # E7: 2,9 => UNS
* INC # H7: 2,9 => UNS
* INC # B9: 2,4 => UNS
* INC # B9: 3,9 => UNS
* INC # A5: 2,4 => UNS
* INC # A5: 1,5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 2,9 => UNS
* INC # C9: 2,9 => UNS
* INC # E7: 2,9 => UNS
* INC # H7: 2,9 => UNS
* INC # B9: 2,4 => UNS
* INC # B9: 3,9 => UNS
* INC # A5: 2,4 => UNS
* INC # A5: 1,5 => UNS
* INC # B9: 2,9 # A3: 2,5 => UNS
* INC # B9: 2,9 # A3: 1 => UNS
* INC # B9: 2,9 # E1: 2,5 => UNS
* INC # B9: 2,9 # F1: 2,5 => UNS
* INC # B9: 2,9 # C4: 2,5 => UNS
* INC # B9: 2,9 # C4: 7 => UNS
* INC # B9: 2,9 # A5: 1,5 => UNS
* INC # B9: 2,9 # A5: 2 => UNS
* INC # B9: 2,9 # E6: 1,5 => UNS
* INC # B9: 2,9 # G6: 1,5 => UNS
* INC # B9: 2,9 # A3: 1,5 => UNS
* INC # B9: 2,9 # A3: 2 => UNS
* INC # B9: 2,9 # E7: 2,9 => UNS
* INC # B9: 2,9 # H7: 2,9 => UNS
* INC # B9: 2,9 # E9: 2,9 => UNS
* INC # B9: 2,9 # F9: 2,9 => UNS
* INC # B9: 2,9 => UNS
* INC # C9: 2,9 # D2: 1,2 => UNS
* INC # C9: 2,9 # E2: 1,2 => UNS
* INC # C9: 2,9 # F2: 1,2 => UNS
* INC # C9: 2,9 # G2: 1,2 => UNS
* INC # C9: 2,9 # D3: 1,2 => UNS
* INC # C9: 2,9 # F3: 1,2 => UNS
* INC # C9: 2,9 # G3: 1,2 => UNS
* INC # C9: 2,9 # H3: 1,2 => UNS
* INC # C9: 2,9 # H1: 1,4 => UNS
* INC # C9: 2,9 # G2: 1,4 => UNS
* DIS # C9: 2,9 # I2: 1,4 => CTR => I2: 3,9
* INC # C9: 2,9 + I2: 3,9 # E1: 1,4 => UNS
* PRF # C9: 2,9 + I2: 3,9 # F1: 1,4 => SOL
* STA # C9: 2,9 + I2: 3,9 + F1: 1,4
* CNT  38 HDP CHAINS /  39 HYP OPENED