Analysis of xx-ph-00042052-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....54.........7..58..4....79.....3...2.....1...6.5...97....4.7...1...2...3. initial

Autosolve

position: 98.76....54.........7..58..4....79.....3...2.....1...6.5...97....4.7...1...2...3. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for D8,E9: 5..:

* DIS # D8: 5 # D7: 4,8 => CTR => D7: 1,6
* CNT   1 HDP CHAINS /  54 HYP OPENED

List of important HDP chains detected for D4,F5: 6..:

* DIS # F5: 6 # E4: 5,8 => CTR => E4: 2
* PRF # F5: 6 + E4: 2 # C4: 5,8 => SOL
* STA # F5: 6 + E4: 2 + C4: 5,8
* CNT   2 HDP CHAINS /  19 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

98.76....54.........7..58..4....79.....3...2.....1...6.5...97....4.7...1...2...3. initial
98.76....54.........7..58..4....79.....3...2.....1...6.5...97....4.7...1...2...3. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H4,G5: 1.. / H4 = 1  =>  2 pairs (_) / G5 = 1  =>  1 pairs (_)
D7,F9: 1.. / D7 = 1  =>  2 pairs (_) / F9 = 1  =>  0 pairs (_)
E4,F6: 2.. / E4 = 2  =>  1 pairs (_) / F6 = 2  =>  1 pairs (_)
I7,G8: 2.. / I7 = 2  =>  1 pairs (_) / G8 = 2  =>  1 pairs (_)
I4,G6: 3.. / I4 = 3  =>  1 pairs (_) / G6 = 3  =>  1 pairs (_)
E7,F8: 3.. / E7 = 3  =>  1 pairs (_) / F8 = 3  =>  1 pairs (_)
D8,E9: 5.. / D8 = 5  =>  3 pairs (_) / E9 = 5  =>  3 pairs (_)
D4,F5: 6.. / D4 = 6  =>  2 pairs (_) / F5 = 6  =>  2 pairs (_)
H2,I2: 7.. / H2 = 7  =>  0 pairs (_) / I2 = 7  =>  0 pairs (_)
I5,H6: 7.. / I5 = 7  =>  0 pairs (_) / H6 = 7  =>  0 pairs (_)
A9,B9: 7.. / A9 = 7  =>  0 pairs (_) / B9 = 7  =>  0 pairs (_)
H2,H6: 7.. / H2 = 7  =>  0 pairs (_) / H6 = 7  =>  0 pairs (_)
I2,I5: 7.. / I2 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
E5,D6: 9.. / E5 = 9  =>  0 pairs (_) / D6 = 9  =>  2 pairs (_)
H8,I9: 9.. / H8 = 9  =>  0 pairs (_) / I9 = 9  =>  0 pairs (_)
B8,H8: 9.. / B8 = 9  =>  0 pairs (_) / H8 = 9  =>  0 pairs (_)
* DURATION: 0:00:10.449947  START: 06:20:08.770108  END: 06:20:19.220055 2020-12-19
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D8,E9: 5.. / D8 = 5 ==>  4 pairs (_) / E9 = 5 ==>  3 pairs (_)
D4,F5: 6.. / D4 = 6 ==>  2 pairs (_) / F5 = 6 ==>  0 pairs (*)
* DURATION: 0:00:43.246965  START: 06:20:19.220700  END: 06:21:02.467665 2020-12-19
* REASONING D8,E9: 5..
* DIS # D8: 5 # D7: 4,8 => CTR => D7: 1,6
* CNT   1 HDP CHAINS /  54 HYP OPENED
* REASONING D4,F5: 6..
* DIS # F5: 6 # E4: 5,8 => CTR => E4: 2
* PRF # F5: 6 + E4: 2 # C4: 5,8 => SOL
* STA # F5: 6 + E4: 2 + C4: 5,8
* CNT   2 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

42052;12_07;GP;24;11.30;11.30;11.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D8,E9: 5..:

* INC # D8: 5 # F5: 6,8 => UNS
* INC # D8: 5 # F5: 4 => UNS
* INC # D8: 5 # C4: 6,8 => UNS
* INC # D8: 5 # C4: 1,2,3,5 => UNS
* INC # D8: 5 # D7: 6,8 => UNS
* INC # D8: 5 # D7: 1,4 => UNS
* DIS # D8: 5 # D7: 4,8 => CTR => D7: 1,6
* INC # D8: 5 + D7: 1,6 # E7: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # F9: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # I9: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # I9: 5,9 => UNS
* INC # D8: 5 + D7: 1,6 # E5: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # E5: 5,9 => UNS
* INC # D8: 5 + D7: 1,6 # A8: 2,6 => UNS
* INC # D8: 5 + D7: 1,6 # B8: 2,6 => UNS
* INC # D8: 5 + D7: 1,6 # G2: 2,6 => UNS
* INC # D8: 5 + D7: 1,6 # G2: 1,3 => UNS
* INC # D8: 5 + D7: 1,6 # F5: 6,8 => UNS
* INC # D8: 5 + D7: 1,6 # F5: 4 => UNS
* INC # D8: 5 + D7: 1,6 # C4: 6,8 => UNS
* INC # D8: 5 + D7: 1,6 # C4: 1,2,3,5 => UNS
* INC # D8: 5 + D7: 1,6 # F9: 1,6 => UNS
* INC # D8: 5 + D7: 1,6 # F9: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # A7: 1,6 => UNS
* INC # D8: 5 + D7: 1,6 # C7: 1,6 => UNS
* INC # D8: 5 + D7: 1,6 # E7: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # F9: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # I9: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # I9: 5,9 => UNS
* INC # D8: 5 + D7: 1,6 # E5: 4,8 => UNS
* INC # D8: 5 + D7: 1,6 # E5: 5,9 => UNS
* INC # D8: 5 + D7: 1,6 # A8: 2,6 => UNS
* INC # D8: 5 + D7: 1,6 # B8: 2,6 => UNS
* INC # D8: 5 + D7: 1,6 # G2: 2,6 => UNS
* INC # D8: 5 + D7: 1,6 # G2: 1,3 => UNS
* INC # D8: 5 + D7: 1,6 => UNS
* INC # E9: 5 # F6: 2,8 => UNS
* INC # E9: 5 # F6: 4 => UNS
* INC # E9: 5 # C4: 2,8 => UNS
* INC # E9: 5 # C4: 1,3,5,6 => UNS
* INC # E9: 5 # E2: 2,8 => UNS
* INC # E9: 5 # E2: 3,9 => UNS
* INC # E9: 5 # D7: 6,8 => UNS
* INC # E9: 5 # F8: 6,8 => UNS
* INC # E9: 5 # F9: 6,8 => UNS
* INC # E9: 5 # A8: 6,8 => UNS
* INC # E9: 5 # H8: 6,8 => UNS
* INC # E9: 5 # D4: 6,8 => UNS
* INC # E9: 5 # D4: 5 => UNS
* INC # E9: 5 # H7: 4,6 => UNS
* INC # E9: 5 # H7: 8 => UNS
* INC # E9: 5 # F9: 4,6 => UNS
* INC # E9: 5 # F9: 1,8 => UNS
* INC # E9: 5 => UNS
* CNT  54 HDP CHAINS /  54 HYP OPENED

Full list of HDP chains traversed for D4,F5: 6..:

* INC # D4: 6 # E5: 4,8 => UNS
* INC # D4: 6 # D6: 4,8 => UNS
* INC # D4: 6 # F6: 4,8 => UNS
* INC # D4: 6 # I5: 4,8 => UNS
* INC # D4: 6 # I5: 5,7 => UNS
* INC # D4: 6 # F9: 4,8 => UNS
* INC # D4: 6 # F9: 1,6 => UNS
* INC # D4: 6 # E9: 5,8 => UNS
* INC # D4: 6 # E9: 4 => UNS
* INC # D4: 6 # H8: 5,8 => UNS
* INC # D4: 6 # H8: 6,9 => UNS
* INC # D4: 6 # D6: 5,8 => UNS
* INC # D4: 6 # D6: 4,9 => UNS
* INC # D4: 6 => UNS
* DIS # F5: 6 # E4: 5,8 => CTR => E4: 2
* INC # F5: 6 + E4: 2 # E5: 5,8 => UNS
* INC # F5: 6 + E4: 2 # D6: 5,8 => UNS
* PRF # F5: 6 + E4: 2 # C4: 5,8 => SOL
* STA # F5: 6 + E4: 2 + C4: 5,8
* CNT  18 HDP CHAINS /  19 HYP OPENED