Analysis of xx-ph-00021730-KZ1C-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..7......5...4.9.3..5......7..6....8....9.2...3..1..4......9.2..1....1..3. initial

Autosolve

position: 98.7..6..7......5...4.9.3.75......7..6....8....9.2...3..1..4......9.2..1....1..3. 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: 0:00:25.167646

The following important HDP chains were detected:

* DIS # G2: 2,4 # I5: 2,4 => CTR => I5: 5
* DIS # G2: 2,4 + I5: 5 # I9: 2,4 => CTR => I9: 6,8
* DIS # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 6 => CTR => I4: 2,4
* PRF # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,9 => SOL
* STA # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 + G4: 2,9
* CNT   4 HDP CHAINS /  38 HYP OPENED

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

Details

Positions

98.7..6..7......5...4.9.3..5......7..6....8....9.2...3..1..4......9.2..1....1..3. initial
98.7..6..7......5...4.9.3.75......7..6....8....9.2...3..1..4......9.2..1....1..3. autosolve
983745612726183459154296387518639274362471895479528163691354728837962541245817936 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I1: 2,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,H1: 1.. / F1 = 1  =>  7 pairs (_) / H1 = 1  =>  4 pairs (_)
D2,D3: 2.. / D2 = 2  =>  3 pairs (_) / D3 = 2  =>  4 pairs (_)
C1,B3: 5.. / C1 = 5  =>  5 pairs (_) / B3 = 5  =>  2 pairs (_)
I5,G6: 5.. / I5 = 5  =>  2 pairs (_) / G6 = 5  =>  2 pairs (_)
C2,A3: 6.. / C2 = 6  =>  2 pairs (_) / A3 = 6  =>  3 pairs (_)
I4,H6: 6.. / I4 = 6  =>  2 pairs (_) / H6 = 6  =>  2 pairs (_)
C5,B6: 7.. / C5 = 7  =>  2 pairs (_) / B6 = 7  =>  2 pairs (_)
B6,F6: 7.. / B6 = 7  =>  2 pairs (_) / F6 = 7  =>  2 pairs (_)
I2,H3: 8.. / I2 = 8  =>  4 pairs (_) / H3 = 8  =>  2 pairs (_)
C4,A6: 8.. / C4 = 8  =>  2 pairs (_) / A6 = 8  =>  2 pairs (_)
G2,I2: 9.. / G2 = 9  =>  2 pairs (_) / I2 = 9  =>  2 pairs (_)
F4,F5: 9.. / F4 = 9  =>  1 pairs (_) / F5 = 9  =>  1 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  1 pairs (_)
H5,H7: 9.. / H5 = 9  =>  1 pairs (_) / H7 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.885472  START: 14:15:05.051858  END: 14:15:12.937330 2020-12-07
* CP COUNT: (14)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:24.978882  START: 14:15:17.581401  END: 14:15:42.560283 2020-12-07
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00021730-KZ1C-base-pr-002.dot
* REASONING
* DIS # G2: 2,4 # I5: 2,4 => CTR => I5: 5
* DIS # G2: 2,4 + I5: 5 # I9: 2,4 => CTR => I9: 6,8
* DIS # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 6 => CTR => I4: 2,4
* PRF # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,9 => SOL
* STA # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 + G4: 2,9
* CNT   4 HDP CHAINS /  38 HYP OPENED

Header Info

21730;KZ1C;GP;23;11.30;1.20;1.20

Solution

position: 983745612726183459154296387518639274362471895479528163691354728837962541245817936 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 # H1: 2,4 => UNS
* INC # G2: 2,4 => UNS
* INC # I2: 2,4 => UNS
* INC # I4: 2,4 => UNS
* INC # I5: 2,4 => UNS
* INC # I9: 2,4 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H1: 2,4 => UNS
* INC # G2: 2,4 => UNS
* INC # I2: 2,4 => UNS
* INC # I4: 2,4 => UNS
* INC # I5: 2,4 => UNS
* INC # I9: 2,4 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H1: 2,4 => UNS
* INC # G2: 2,4 => UNS
* INC # I2: 2,4 => UNS
* INC # I4: 2,4 => UNS
* INC # I5: 2,4 => UNS
* INC # I9: 2,4 => UNS
* INC # H1: 2,4 # C8: 3,5 => UNS
* INC # H1: 2,4 # C8: 6,7,8 => UNS
* INC # H1: 2,4 # E5: 3,5 => UNS
* INC # H1: 2,4 # E7: 3,5 => UNS
* INC # H1: 2,4 # E8: 3,5 => UNS
* INC # H1: 2,4 # H5: 2,4 => UNS
* INC # H1: 2,4 # H5: 1,9 => UNS
* INC # H1: 2,4 # I4: 2,4 => UNS
* INC # H1: 2,4 # I5: 2,4 => UNS
* INC # H1: 2,4 # I9: 2,4 => UNS
* INC # H1: 2,4 # G4: 1,9 => UNS
* INC # H1: 2,4 # G4: 2,4 => UNS
* INC # H1: 2,4 # I7: 8,9 => UNS
* INC # H1: 2,4 # I9: 8,9 => UNS
* INC # H1: 2,4 => UNS
* INC # G2: 2,4 # E1: 3,5 => UNS
* INC # G2: 2,4 # E1: 4 => UNS
* INC # G2: 2,4 # C1: 3,5 => UNS
* INC # G2: 2,4 # C1: 2 => UNS
* INC # G2: 2,4 # F5: 3,5 => UNS
* INC # G2: 2,4 # F5: 1,7,9 => UNS
* INC # G2: 2,4 # I4: 2,4 => UNS
* DIS # G2: 2,4 # I5: 2,4 => CTR => I5: 5
* DIS # G2: 2,4 + I5: 5 # I9: 2,4 => CTR => I9: 6,8
* INC # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 2,4 => UNS
* DIS # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 6 => CTR => I4: 2,4
* INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # D2: 2,4 => UNS
* INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # D2: 1,3,6,8 => UNS
* INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,4 => UNS
* INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 1,9 => UNS
* PRF # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,9 => SOL
* STA # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 + G4: 2,9
* CNT  37 HDP CHAINS /  38 HYP OPENED