Analysis of xx-ph-00001487-H82-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .....1.3........65..3.6...9..9.5...61....2....7.4.......6.8..5..2.7.....4.....8.. initial

Autosolve

position: .....1.3........65..3.6...9..9.5...61....2....7.4.......6.8..5..2.7..6..4.....8.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for D4,E6: 1..:

* DIS # E6: 1 # F4: 3,8 => CTR => F4: 7
* DIS # E6: 1 + F4: 7 # E2: 3,9 => CTR => E2: 2,4,7
* CNT   2 HDP CHAINS /  66 HYP OPENED

List of important HDP chains detected for A7,C9: 7..:

* DIS # C9: 7 # D7: 3,9 => CTR => D7: 1,2
* PRF # C9: 7 + D7: 1,2 # F7: 3,9 => SOL
* STA # C9: 7 + D7: 1,2 + F7: 3,9
* CNT   2 HDP CHAINS /  11 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

.....1.3........65..3.6...9..9.5...61....2....7.4.......6.8..5..2.7.....4.....8.. initial
.....1.3........65..3.6...9..9.5...61....2....7.4.......6.8..5..2.7..6..4.....8.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E6: 1.. / D4 = 1  =>  1 pairs (_) / E6 = 1  =>  2 pairs (_)
G5,G6: 5.. / G5 = 5  =>  1 pairs (_) / G6 = 5  =>  1 pairs (_)
A1,B1: 6.. / A1 = 6  =>  0 pairs (_) / B1 = 6  =>  0 pairs (_)
B5,A6: 6.. / B5 = 6  =>  0 pairs (_) / A6 = 6  =>  0 pairs (_)
D5,F6: 6.. / D5 = 6  =>  0 pairs (_) / F6 = 6  =>  0 pairs (_)
D9,F9: 6.. / D9 = 6  =>  0 pairs (_) / F9 = 6  =>  0 pairs (_)
B5,D5: 6.. / B5 = 6  =>  0 pairs (_) / D5 = 6  =>  0 pairs (_)
A6,F6: 6.. / A6 = 6  =>  0 pairs (_) / F6 = 6  =>  0 pairs (_)
A1,A6: 6.. / A1 = 6  =>  0 pairs (_) / A6 = 6  =>  0 pairs (_)
B1,B5: 6.. / B1 = 6  =>  0 pairs (_) / B5 = 6  =>  0 pairs (_)
D5,D9: 6.. / D5 = 6  =>  0 pairs (_) / D9 = 6  =>  0 pairs (_)
F6,F9: 6.. / F6 = 6  =>  0 pairs (_) / F9 = 6  =>  0 pairs (_)
F4,E5: 7.. / F4 = 7  =>  1 pairs (_) / E5 = 7  =>  1 pairs (_)
A7,C9: 7.. / A7 = 7  =>  1 pairs (_) / C9 = 7  =>  1 pairs (_)
I1,H3: 8.. / I1 = 8  =>  0 pairs (_) / H3 = 8  =>  1 pairs (_)
A8,C8: 8.. / A8 = 8  =>  2 pairs (_) / C8 = 8  =>  2 pairs (_)
* DURATION: 0:00:18.376237  START: 18:56:54.644756  END: 18:57:13.020993 2020-11-28
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A8,C8: 8.. / A8 = 8 ==>  2 pairs (_) / C8 = 8 ==>  2 pairs (_)
D4,E6: 1.. / D4 = 1 ==>  1 pairs (_) / E6 = 1 ==>  3 pairs (_)
A7,C9: 7.. / A7 = 7 ==>  1 pairs (_) / C9 = 7 ==>  0 pairs (*)
* DURATION: 0:01:25.627401  START: 18:57:13.022054  END: 18:58:38.649455 2020-11-28
* REASONING D4,E6: 1..
* DIS # E6: 1 # F4: 3,8 => CTR => F4: 7
* DIS # E6: 1 + F4: 7 # E2: 3,9 => CTR => E2: 2,4,7
* CNT   2 HDP CHAINS /  66 HYP OPENED
* REASONING A7,C9: 7..
* DIS # C9: 7 # D7: 3,9 => CTR => D7: 1,2
* PRF # C9: 7 + D7: 1,2 # F7: 3,9 => SOL
* STA # C9: 7 + D7: 1,2 + F7: 3,9
* CNT   2 HDP CHAINS /  11 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1487;H82;col;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A8,C8: 8..:

* INC # A8: 8 # A6: 2,3 => UNS
* INC # A8: 8 # A6: 5,6 => UNS
* INC # A8: 8 # G4: 2,3 => UNS
* INC # A8: 8 # G4: 1,4,7 => UNS
* INC # A8: 8 # B9: 1,5 => UNS
* INC # A8: 8 # C9: 1,5 => UNS
* INC # A8: 8 => UNS
* INC # C8: 8 # B5: 4,5 => UNS
* INC # C8: 8 # B5: 3,6,8 => UNS
* INC # C8: 8 # G5: 4,5 => UNS
* INC # C8: 8 # G5: 3,7,9 => UNS
* INC # C8: 8 # C1: 4,5 => UNS
* INC # C8: 8 # C1: 2,7 => UNS
* INC # C8: 8 # A6: 2,5 => UNS
* INC # C8: 8 # A6: 3,6,8 => UNS
* INC # C8: 8 # G6: 2,5 => UNS
* INC # C8: 8 # G6: 1,3,9 => UNS
* INC # C8: 8 # C1: 2,5 => UNS
* INC # C8: 8 # C1: 4,7 => UNS
* INC # C8: 8 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for D4,E6: 1..:

* DIS # E6: 1 # F4: 3,8 => CTR => F4: 7
* INC # E6: 1 + F4: 7 # D5: 3,8 => UNS
* INC # E6: 1 + F4: 7 # F6: 3,8 => UNS
* INC # E6: 1 + F4: 7 # A4: 3,8 => UNS
* INC # E6: 1 + F4: 7 # B4: 3,8 => UNS
* INC # E6: 1 + F4: 7 # D2: 3,8 => UNS
* INC # E6: 1 + F4: 7 # D2: 2,9 => UNS
* INC # E6: 1 + F4: 7 # G7: 4,9 => UNS
* INC # E6: 1 + F4: 7 # G7: 2,3,7 => UNS
* INC # E6: 1 + F4: 7 # E8: 4,9 => UNS
* INC # E6: 1 + F4: 7 # F8: 4,9 => UNS
* INC # E6: 1 + F4: 7 # H5: 4,9 => UNS
* INC # E6: 1 + F4: 7 # H5: 7,8 => UNS
* INC # E6: 1 + F4: 7 # D5: 3,8 => UNS
* INC # E6: 1 + F4: 7 # F6: 3,8 => UNS
* INC # E6: 1 + F4: 7 # A4: 3,8 => UNS
* INC # E6: 1 + F4: 7 # B4: 3,8 => UNS
* INC # E6: 1 + F4: 7 # D2: 3,8 => UNS
* INC # E6: 1 + F4: 7 # D2: 2,9 => UNS
* INC # E6: 1 + F4: 7 # D5: 3,9 => UNS
* INC # E6: 1 + F4: 7 # F6: 3,9 => UNS
* INC # E6: 1 + F4: 7 # G5: 3,9 => UNS
* INC # E6: 1 + F4: 7 # G5: 4,5,7 => UNS
* DIS # E6: 1 + F4: 7 # E2: 3,9 => CTR => E2: 2,4,7
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E8: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E9: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # D5: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # F6: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G5: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G5: 4,5,7 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E8: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E9: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G7: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G7: 2,3,7 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E8: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # F8: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # H5: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # H5: 7,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # D5: 3,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # F6: 3,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # A4: 3,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # B4: 3,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # D2: 3,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # D2: 2,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # D5: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # F6: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G5: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G5: 4,5,7 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E8: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E9: 3,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G7: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # G7: 2,3,7 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # E8: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # F8: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # H5: 4,9 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 # H5: 7,8 => UNS
* INC # E6: 1 + F4: 7 + E2: 2,4,7 => UNS
* INC # D4: 1 # D5: 3,9 => UNS
* INC # D4: 1 # E5: 3,9 => UNS
* INC # D4: 1 # F6: 3,9 => UNS
* INC # D4: 1 # G6: 3,9 => UNS
* INC # D4: 1 # G6: 1,2,5 => UNS
* INC # D4: 1 # E2: 3,9 => UNS
* INC # D4: 1 # E8: 3,9 => UNS
* INC # D4: 1 # E9: 3,9 => UNS
* INC # D4: 1 => UNS
* CNT  66 HDP CHAINS /  66 HYP OPENED

Full list of HDP chains traversed for A7,C9: 7..:

* INC # A7: 7 # C8: 1,5 => UNS
* INC # A7: 7 # B9: 1,5 => UNS
* INC # A7: 7 # D9: 1,5 => UNS
* INC # A7: 7 # D9: 2,3,6,9 => UNS
* INC # A7: 7 => UNS
* INC # C9: 7 # B7: 3,9 => UNS
* INC # C9: 7 # A8: 3,9 => UNS
* INC # C9: 7 # B9: 3,9 => UNS
* DIS # C9: 7 # D7: 3,9 => CTR => D7: 1,2
* PRF # C9: 7 + D7: 1,2 # F7: 3,9 => SOL
* STA # C9: 7 + D7: 1,2 + F7: 3,9
* CNT  10 HDP CHAINS /  11 HYP OPENED