Analysis of xx-ph-00011718-kz0-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6...8.7....7..5...4......63..86..5.......4....2...3.1...68..9......1...2 initial

Autosolve

position: 98.7.....6...8.7....7..5...4....8.63..86..5...6...4....2...3.1...68..9......1...2 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: 0:01:15.011767

The following important HDP chains were detected:

* DIS # G6: 8 # I7: 4,6 => CTR => I7: 5,7,8
* DIS # C4: 1,2 # G3: 1,2 => CTR => G3: 3,4,6,8
* DIS # D4: 1,2 # C6: 5,9 => CTR => C6: 1,2,3
* PRF # G1: 1,2 # C1: 1,2 => SOL
* STA # G1: 1,2 + C1: 1,2
* CNT   4 HDP CHAINS / 133 HYP OPENED

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

Details

Positions

98.7.....6...8.7....7..5...4......63..86..5.......4....2...3.1...68..9......1...2 initial
98.7.....6...8.7....7..5...4....8.63..86..5...6...4....2...3.1...68..9......1...2 autosolve
982736154653481729147295386479158263238679541561324897725963418316842975894517632 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
G4: 1,2
F8: 2,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  3 pairs (_) / B8 = 1  =>  3 pairs (_)
E8,F8: 2.. / E8 = 2  =>  3 pairs (_) / F8 = 2  =>  3 pairs (_)
H5,I5: 4.. / H5 = 4  =>  2 pairs (_) / I5 = 4  =>  3 pairs (_)
E7,F9: 6.. / E7 = 6  =>  4 pairs (_) / F9 = 6  =>  3 pairs (_)
F9,G9: 6.. / F9 = 6  =>  3 pairs (_) / G9 = 6  =>  4 pairs (_)
F1,F9: 6.. / F1 = 6  =>  4 pairs (_) / F9 = 6  =>  3 pairs (_)
B4,E4: 7.. / B4 = 7  =>  2 pairs (_) / E4 = 7  =>  2 pairs (_)
A7,A9: 8.. / A7 = 8  =>  3 pairs (_) / A9 = 8  =>  3 pairs (_)
* DURATION: 0:00:05.846667  START: 17:55:02.693174  END: 17:55:08.539841 2020-09-29
* CP COUNT: (8)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:01:14.626548  START: 17:55:17.810652  END: 17:56:32.437200 2020-09-29
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00011718-kz0-base-pr-002.dot
* REASONING
* DIS # G6: 8 # I7: 4,6 => CTR => I7: 5,7,8
* DIS # C4: 1,2 # G3: 1,2 => CTR => G3: 3,4,6,8
* DIS # D4: 1,2 # C6: 5,9 => CTR => C6: 1,2,3
* PRF # G1: 1,2 # C1: 1,2 => SOL
* STA # G1: 1,2 + C1: 1,2
* CNT   4 HDP CHAINS / 133 HYP OPENED

Header Info

11718;kz0;GP;23;11.50;1.20;1.20

Solution

position: 982736154653481729147295386479158263238679541561324897725963418316842975894517632 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 # G6: 1,2 => UNS
* INC # G6: 8 => UNS
* INC # C4: 1,2 => UNS
* INC # D4: 1,2 => UNS
* INC # G1: 1,2 => UNS
* INC # G3: 1,2 => UNS
* INC # E8: 2,7 => UNS
* INC # E8: 4,5 => UNS
* INC # F5: 2,7 => UNS
* INC # F5: 1,9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G6: 1,2 => UNS
* INC # G6: 8 => UNS
* INC # C4: 1,2 => UNS
* INC # D4: 1,2 => UNS
* INC # G1: 1,2 => UNS
* INC # G3: 1,2 => UNS
* INC # E8: 2,7 => UNS
* INC # E8: 4,5 => UNS
* INC # F5: 2,7 => UNS
* INC # F5: 1,9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G6: 1,2 => UNS
* INC # G6: 8 => UNS
* INC # C4: 1,2 => UNS
* INC # D4: 1,2 => UNS
* INC # G1: 1,2 => UNS
* INC # G3: 1,2 => UNS
* INC # E8: 2,7 => UNS
* INC # E8: 4,5 => UNS
* INC # F5: 2,7 => UNS
* INC # F5: 1,9 => UNS
* INC # G6: 1,2 # C4: 1,2 => UNS
* INC # G6: 1,2 # D4: 1,2 => UNS
* INC # G6: 1,2 # A6: 1,2 => UNS
* INC # G6: 1,2 # C6: 1,2 => UNS
* INC # G6: 1,2 # D6: 1,2 => UNS
* INC # G6: 1,2 # E8: 2,7 => UNS
* INC # G6: 1,2 # E8: 4,5 => UNS
* INC # G6: 1,2 # F5: 2,7 => UNS
* INC # G6: 1,2 # F5: 1,9 => UNS
* INC # G6: 1,2 => UNS
* INC # G6: 8 # C4: 1,2 => UNS
* INC # G6: 8 # D4: 1,2 => UNS
* INC # G6: 8 # G1: 1,2 => UNS
* INC # G6: 8 # G3: 1,2 => UNS
* INC # G6: 8 # E8: 2,7 => UNS
* INC # G6: 8 # E8: 4,5 => UNS
* INC # G6: 8 # F5: 2,7 => UNS
* INC # G6: 8 # F5: 1,9 => UNS
* DIS # G6: 8 # I7: 4,6 => CTR => I7: 5,7,8
* INC # G6: 8 + I7: 5,7,8 # G9: 4,6 => UNS
* INC # G6: 8 + I7: 5,7,8 # G9: 4,6 => UNS
* INC # G6: 8 + I7: 5,7,8 # G9: 3 => UNS
* INC # G6: 8 + I7: 5,7,8 # E7: 4,6 => UNS
* INC # G6: 8 + I7: 5,7,8 # E7: 5,7,9 => UNS
* INC # G6: 8 + I7: 5,7,8 # C4: 1,2 => UNS
* INC # G6: 8 + I7: 5,7,8 # D4: 1,2 => UNS
* INC # G6: 8 + I7: 5,7,8 # G1: 1,2 => UNS
* INC # G6: 8 + I7: 5,7,8 # G3: 1,2 => UNS
* INC # G6: 8 + I7: 5,7,8 # E8: 2,7 => UNS
* INC # G6: 8 + I7: 5,7,8 # E8: 4,5 => UNS
* INC # G6: 8 + I7: 5,7,8 # F5: 2,7 => UNS
* INC # G6: 8 + I7: 5,7,8 # F5: 1,9 => UNS
* INC # G6: 8 + I7: 5,7,8 # G9: 4,6 => UNS
* INC # G6: 8 + I7: 5,7,8 # G9: 3 => UNS
* INC # G6: 8 + I7: 5,7,8 # E7: 4,6 => UNS
* INC # G6: 8 + I7: 5,7,8 # E7: 5,7,9 => UNS
* INC # G6: 8 + I7: 5,7,8 => UNS
* INC # C4: 1,2 # A5: 1,2 => UNS
* INC # C4: 1,2 # A6: 1,2 => UNS
* INC # C4: 1,2 # C6: 1,2 => UNS
* INC # C4: 1,2 # C1: 1,2 => UNS
* INC # C4: 1,2 # C2: 1,2 => UNS
* INC # C4: 1,2 # E4: 5,9 => UNS
* INC # C4: 1,2 # E6: 5,9 => UNS
* INC # C4: 1,2 # B4: 5,9 => UNS
* INC # C4: 1,2 # B4: 7 => UNS
* INC # C4: 1,2 # D7: 5,9 => UNS
* INC # C4: 1,2 # D9: 5,9 => UNS
* INC # C4: 1,2 # G6: 1,2 => UNS
* INC # C4: 1,2 # G6: 8 => UNS
* INC # C4: 1,2 # G1: 1,2 => UNS
* DIS # C4: 1,2 # G3: 1,2 => CTR => G3: 3,4,6,8
* INC # C4: 1,2 + G3: 3,4,6,8 # G1: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G1: 3,4,6 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G6: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G6: 8 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G1: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G1: 3,4,6 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # E8: 2,7 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # E8: 5 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # F5: 2,7 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # F5: 1,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # A5: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # A6: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # C6: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # C1: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # C2: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # E4: 5,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # E6: 5,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # B4: 5,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # B4: 7 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # D7: 5,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # D9: 5,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G6: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G6: 8 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G1: 1,2 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # G1: 3,4,6 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # E8: 2,7 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # E8: 5 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # F5: 2,7 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 # F5: 1,9 => UNS
* INC # C4: 1,2 + G3: 3,4,6,8 => UNS
* INC # D4: 1,2 # B4: 5,9 => UNS
* DIS # D4: 1,2 # C6: 5,9 => CTR => C6: 1,2,3
* INC # D4: 1,2 + C6: 1,2,3 # B4: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # B4: 7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E4: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E4: 7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # C7: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # C9: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # F5: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # D6: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # D2: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # D3: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G6: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G6: 8 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G1: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G3: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E8: 2,7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E8: 4,5 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # F5: 2,7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # F5: 1,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # B4: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # B4: 7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E4: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E4: 7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # C7: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # C9: 5,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # F5: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # D6: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # D2: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # D3: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G6: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G6: 8 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G1: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # G3: 1,2 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E8: 2,7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # E8: 4,5 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # F5: 2,7 => UNS
* INC # D4: 1,2 + C6: 1,2,3 # F5: 1,9 => UNS
* INC # D4: 1,2 + C6: 1,2,3 => UNS
* PRF # G1: 1,2 # C1: 1,2 => SOL
* STA # G1: 1,2 + C1: 1,2
* CNT 132 HDP CHAINS / 133 HYP OPENED