Analysis of xx-ph-00000567-H98-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. initial

Autosolve

position: 98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. 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: 0:00:34.537723

The following important HDP chains were detected:

* DIS # B9: 6,7 # B4: 1,3 => CTR => B4: 9
* DIS # B9: 6,7 + B4: 9 # D4: 1,2 => CTR => D4: 3,4
* DIS # B9: 6,7 + B4: 9 + D4: 3,4 # F4: 1,2 => CTR => F4: 3,4,7
* DIS # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 # E7: 6,7 => CTR => E7: 2,3,4
* PRF # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # G2: 3,5 => SOL
* STA # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 + G2: 3,5
* CNT   5 HDP CHAINS /  29 HYP OPENED

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

Details

Positions

98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. initial
98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. autosolve
981743625254196378736285491692357814845912736317864952578429163429631587163578249 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B7: 6,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G9: 2.. / H7 = 2  =>  3 pairs (_) / G9 = 2  =>  2 pairs (_)
I7,G8: 3.. / I7 = 3  =>  2 pairs (_) / G8 = 3  =>  2 pairs (_)
I4,G6: 4.. / I4 = 4  =>  2 pairs (_) / G6 = 4  =>  2 pairs (_)
C5,B6: 5.. / C5 = 5  =>  4 pairs (_) / B6 = 5  =>  2 pairs (_)
D8,D9: 5.. / D8 = 5  =>  2 pairs (_) / D9 = 5  =>  2 pairs (_)
B2,B6: 5.. / B2 = 5  =>  4 pairs (_) / B6 = 5  =>  2 pairs (_)
B3,C3: 6.. / B3 = 6  =>  2 pairs (_) / C3 = 6  =>  2 pairs (_)
I5,H6: 6.. / I5 = 6  =>  2 pairs (_) / H6 = 6  =>  2 pairs (_)
H4,G5: 7.. / H4 = 7  =>  2 pairs (_) / G5 = 7  =>  2 pairs (_)
F4,H4: 7.. / F4 = 7  =>  2 pairs (_) / H4 = 7  =>  2 pairs (_)
B7,E7: 7.. / B7 = 7  =>  1 pairs (_) / E7 = 7  =>  3 pairs (_)
H2,I2: 8.. / H2 = 8  =>  2 pairs (_) / I2 = 8  =>  2 pairs (_)
C8,B9: 9.. / C8 = 9  =>  3 pairs (_) / B9 = 9  =>  3 pairs (_)
* DURATION: 0:00:08.947399  START: 03:02:08.508266  END: 03:02:17.455665 2020-11-20
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:34.331208  START: 03:02:22.640049  END: 03:02:56.971257 2020-11-20
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00000567-H98-base-pr-002.dot
* REASONING
* DIS # B9: 6,7 # B4: 1,3 => CTR => B4: 9
* DIS # B9: 6,7 + B4: 9 # D4: 1,2 => CTR => D4: 3,4
* DIS # B9: 6,7 + B4: 9 + D4: 3,4 # F4: 1,2 => CTR => F4: 3,4,7
* DIS # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 # E7: 6,7 => CTR => E7: 2,3,4
* PRF # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # G2: 3,5 => SOL
* STA # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 + G2: 3,5
* CNT   5 HDP CHAINS /  29 HYP OPENED

Header Info

567;H98;GP;22;11.30;11.30;11.00

Solution

position: 981743625254196378736285491692357814845912736317864952578429163429631587163578249 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: 6,7 => UNS
* INC # B9: 1,9 => UNS
* INC # E7: 6,7 => UNS
* INC # E7: 2,3,4 => UNS
* INC # B3: 6,7 => UNS
* INC # B3: 1,3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 6,7 => UNS
* INC # B9: 1,9 => UNS
* INC # E7: 6,7 => UNS
* INC # E7: 2,3,4 => UNS
* INC # B3: 6,7 => UNS
* INC # B3: 1,3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 6,7 => UNS
* INC # B9: 1,9 => UNS
* INC # E7: 6,7 => UNS
* INC # E7: 2,3,4 => UNS
* INC # B3: 6,7 => UNS
* INC # B3: 1,3 => UNS
* INC # B9: 6,7 # B2: 1,3 => UNS
* INC # B9: 6,7 # B2: 5 => UNS
* INC # B9: 6,7 # D3: 1,3 => UNS
* INC # B9: 6,7 # I3: 1,3 => UNS
* DIS # B9: 6,7 # B4: 1,3 => CTR => B4: 9
* INC # B9: 6,7 + B4: 9 # B6: 1,3 => UNS
* INC # B9: 6,7 + B4: 9 # B6: 1,3 => UNS
* INC # B9: 6,7 + B4: 9 # B6: 5 => UNS
* INC # B9: 6,7 + B4: 9 # B2: 1,3 => UNS
* INC # B9: 6,7 + B4: 9 # B2: 5 => UNS
* INC # B9: 6,7 + B4: 9 # D3: 1,3 => UNS
* INC # B9: 6,7 + B4: 9 # I3: 1,3 => UNS
* INC # B9: 6,7 + B4: 9 # B6: 1,3 => UNS
* INC # B9: 6,7 + B4: 9 # B6: 5 => UNS
* INC # B9: 6,7 + B4: 9 # C5: 1,2 => UNS
* INC # B9: 6,7 + B4: 9 # C5: 5,8 => UNS
* DIS # B9: 6,7 + B4: 9 # D4: 1,2 => CTR => D4: 3,4
* DIS # B9: 6,7 + B4: 9 + D4: 3,4 # F4: 1,2 => CTR => F4: 3,4,7
* DIS # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 # E7: 6,7 => CTR => E7: 2,3,4
* INC # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # D8: 3,5 => UNS
* INC # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # D8: 1,6,8 => UNS
* PRF # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # G2: 3,5 => SOL
* STA # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 + G2: 3,5
* CNT  28 HDP CHAINS /  29 HYP OPENED