Analysis of xx-ph-00305588-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .......12.....3..4..4.2.5....5....4..3..567..8..9.......7.1...5.9.3.....6....8... initial

Autosolve

position: .......12.....3..4..4.2.5....5....4..3..567..8..9...5...7.1...5.9.3.....6....8... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for A5,D5: 4..:

* DIS # D5: 4 # F6: 1,2 => CTR => F6: 7
* CNT   1 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for A5,B6: 4..:

* DIS # B6: 4 # F6: 1,2 => CTR => F6: 7
* CNT   1 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for E4,E6: 3..:

* DIS # E4: 3 # E1: 4,7 => CTR => E1: 6,8,9
* CNT   1 HDP CHAINS /  34 HYP OPENED

List of important HDP chains detected for F7,E9: 9..:

* DIS # E9: 9 # D7: 2,4 => CTR => D7: 6
* PRF # E9: 9 + D7: 6 # B7: 2,4 => SOL
* STA # E9: 9 + D7: 6 + B7: 2,4
* CNT   2 HDP CHAINS /  18 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

.......12.....3..4..4.2.5....5....4..3..567..8..9.......7.1...5.9.3.....6....8... initial
.......12.....3..4..4.2.5....5....4..3..567..8..9...5...7.1...5.9.3.....6....8... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E4,E6: 3.. / E4 = 3  =>  1 pairs (_) / E6 = 3  =>  4 pairs (_)
A7,C9: 3.. / A7 = 3  =>  1 pairs (_) / C9 = 3  =>  1 pairs (_)
C1,C9: 3.. / C1 = 3  =>  1 pairs (_) / C9 = 3  =>  1 pairs (_)
A5,B6: 4.. / A5 = 4  =>  1 pairs (_) / B6 = 4  =>  5 pairs (_)
A5,D5: 4.. / A5 = 4  =>  1 pairs (_) / D5 = 4  =>  5 pairs (_)
A8,B9: 5.. / A8 = 5  =>  0 pairs (_) / B9 = 5  =>  0 pairs (_)
F8,D9: 5.. / F8 = 5  =>  0 pairs (_) / D9 = 5  =>  0 pairs (_)
A8,F8: 5.. / A8 = 5  =>  0 pairs (_) / F8 = 5  =>  0 pairs (_)
B9,D9: 5.. / B9 = 5  =>  0 pairs (_) / D9 = 5  =>  0 pairs (_)
F1,F8: 5.. / F1 = 5  =>  0 pairs (_) / F8 = 5  =>  0 pairs (_)
D7,E8: 6.. / D7 = 6  =>  1 pairs (_) / E8 = 6  =>  1 pairs (_)
B7,C8: 8.. / B7 = 8  =>  1 pairs (_) / C8 = 8  =>  1 pairs (_)
F7,E9: 9.. / F7 = 9  =>  2 pairs (_) / E9 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.206897  START: 21:51:21.662173  END: 21:51:29.869070 2020-09-23
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A5,D5: 4.. / A5 = 4 ==>  1 pairs (_) / D5 = 4 ==>  8 pairs (_)
A5,B6: 4.. / A5 = 4 ==>  1 pairs (_) / B6 = 4 ==>  8 pairs (_)
E4,E6: 3.. / E4 = 3 ==>  1 pairs (_) / E6 = 3 ==>  4 pairs (_)
F7,E9: 9.. / F7 = 9 ==>  2 pairs (_) / E9 = 9 ==>  0 pairs (*)
* DURATION: 0:01:08.272662  START: 21:51:29.869851  END: 21:52:38.142513 2020-09-23
* REASONING A5,D5: 4..
* DIS # D5: 4 # F6: 1,2 => CTR => F6: 7
* CNT   1 HDP CHAINS /  38 HYP OPENED
* REASONING A5,B6: 4..
* DIS # B6: 4 # F6: 1,2 => CTR => F6: 7
* CNT   1 HDP CHAINS /  38 HYP OPENED
* REASONING E4,E6: 3..
* DIS # E4: 3 # E1: 4,7 => CTR => E1: 6,8,9
* CNT   1 HDP CHAINS /  34 HYP OPENED
* REASONING F7,E9: 9..
* DIS # E9: 9 # D7: 2,4 => CTR => D7: 6
* PRF # E9: 9 + D7: 6 # B7: 2,4 => SOL
* STA # E9: 9 + D7: 6 + B7: 2,4
* CNT   2 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

305588;12_12_03;dob;22;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A5,D5: 4..:

* INC # D5: 4 # D4: 1,2 => UNS
* DIS # D5: 4 # F6: 1,2 => CTR => F6: 7
* INC # D5: 4 + F6: 7 # C8: 2,8 => UNS
* INC # D5: 4 + F6: 7 # C8: 1 => UNS
* INC # D5: 4 + F6: 7 # G7: 2,8 => UNS
* INC # D5: 4 + F6: 7 # H7: 2,8 => UNS
* INC # D5: 4 + F6: 7 # B2: 2,8 => UNS
* INC # D5: 4 + F6: 7 # B2: 1,5,6,7 => UNS
* INC # D5: 4 + F6: 7 # G7: 2,6 => UNS
* INC # D5: 4 + F6: 7 # H7: 2,6 => UNS
* INC # D5: 4 + F6: 7 # A3: 1,9 => UNS
* INC # D5: 4 + F6: 7 # A3: 3,7 => UNS
* INC # D5: 4 + F6: 7 # A1: 7,9 => UNS
* INC # D5: 4 + F6: 7 # A2: 7,9 => UNS
* INC # D5: 4 + F6: 7 # A3: 7,9 => UNS
* INC # D5: 4 + F6: 7 # B1: 6,7 => UNS
* INC # D5: 4 + F6: 7 # B2: 6,7 => UNS
* INC # D5: 4 + F6: 7 # B3: 6,7 => UNS
* INC # D5: 4 + F6: 7 # G6: 1,6 => UNS
* INC # D5: 4 + F6: 7 # G6: 2 => UNS
* INC # D5: 4 + F6: 7 # C6: 1,6 => UNS
* INC # D5: 4 + F6: 7 # C6: 2 => UNS
* INC # D5: 4 + F6: 7 # I8: 1,6 => UNS
* INC # D5: 4 + F6: 7 # I8: 7,8 => UNS
* INC # D5: 4 + F6: 7 # C8: 2,8 => UNS
* INC # D5: 4 + F6: 7 # C8: 1 => UNS
* INC # D5: 4 + F6: 7 # G7: 2,8 => UNS
* INC # D5: 4 + F6: 7 # H7: 2,8 => UNS
* INC # D5: 4 + F6: 7 # B2: 2,8 => UNS
* INC # D5: 4 + F6: 7 # B2: 1,5,6,7 => UNS
* INC # D5: 4 + F6: 7 # G7: 2,6 => UNS
* INC # D5: 4 + F6: 7 # H7: 2,6 => UNS
* INC # D5: 4 + F6: 7 => UNS
* INC # A5: 4 # C9: 2,3 => UNS
* INC # A5: 4 # C9: 1 => UNS
* INC # A5: 4 # G7: 2,3 => UNS
* INC # A5: 4 # H7: 2,3 => UNS
* INC # A5: 4 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for A5,B6: 4..:

* INC # B6: 4 # D4: 1,2 => UNS
* DIS # B6: 4 # F6: 1,2 => CTR => F6: 7
* INC # B6: 4 + F6: 7 # C8: 2,8 => UNS
* INC # B6: 4 + F6: 7 # C8: 1 => UNS
* INC # B6: 4 + F6: 7 # G7: 2,8 => UNS
* INC # B6: 4 + F6: 7 # H7: 2,8 => UNS
* INC # B6: 4 + F6: 7 # B2: 2,8 => UNS
* INC # B6: 4 + F6: 7 # B2: 1,5,6,7 => UNS
* INC # B6: 4 + F6: 7 # G7: 2,6 => UNS
* INC # B6: 4 + F6: 7 # H7: 2,6 => UNS
* INC # B6: 4 + F6: 7 # A3: 1,9 => UNS
* INC # B6: 4 + F6: 7 # A3: 3,7 => UNS
* INC # B6: 4 + F6: 7 # A1: 7,9 => UNS
* INC # B6: 4 + F6: 7 # A2: 7,9 => UNS
* INC # B6: 4 + F6: 7 # A3: 7,9 => UNS
* INC # B6: 4 + F6: 7 # B1: 6,7 => UNS
* INC # B6: 4 + F6: 7 # B2: 6,7 => UNS
* INC # B6: 4 + F6: 7 # B3: 6,7 => UNS
* INC # B6: 4 + F6: 7 # G6: 1,6 => UNS
* INC # B6: 4 + F6: 7 # G6: 2 => UNS
* INC # B6: 4 + F6: 7 # C6: 1,6 => UNS
* INC # B6: 4 + F6: 7 # C6: 2 => UNS
* INC # B6: 4 + F6: 7 # I8: 1,6 => UNS
* INC # B6: 4 + F6: 7 # I8: 7,8 => UNS
* INC # B6: 4 + F6: 7 # C8: 2,8 => UNS
* INC # B6: 4 + F6: 7 # C8: 1 => UNS
* INC # B6: 4 + F6: 7 # G7: 2,8 => UNS
* INC # B6: 4 + F6: 7 # H7: 2,8 => UNS
* INC # B6: 4 + F6: 7 # B2: 2,8 => UNS
* INC # B6: 4 + F6: 7 # B2: 1,5,6,7 => UNS
* INC # B6: 4 + F6: 7 # G7: 2,6 => UNS
* INC # B6: 4 + F6: 7 # H7: 2,6 => UNS
* INC # B6: 4 + F6: 7 => UNS
* INC # A5: 4 # C9: 2,3 => UNS
* INC # A5: 4 # C9: 1 => UNS
* INC # A5: 4 # G7: 2,3 => UNS
* INC # A5: 4 # H7: 2,3 => UNS
* INC # A5: 4 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for E4,E6: 3..:

* INC # E6: 3 # D4: 7,8 => UNS
* INC # E6: 3 # D4: 1,2 => UNS
* INC # E6: 3 # E1: 7,8 => UNS
* INC # E6: 3 # E2: 7,8 => UNS
* INC # E6: 3 # F1: 4,7 => UNS
* INC # E6: 3 # F8: 4,7 => UNS
* INC # E6: 3 # G4: 1,6 => UNS
* INC # E6: 3 # I4: 1,6 => UNS
* INC # E6: 3 # G6: 1,6 => UNS
* INC # E6: 3 # C6: 1,6 => UNS
* INC # E6: 3 # C6: 2 => UNS
* INC # E6: 3 # I8: 1,6 => UNS
* INC # E6: 3 # I8: 7,8 => UNS
* INC # E6: 3 => UNS
* INC # E4: 3 # F6: 4,7 => UNS
* INC # E4: 3 # F6: 1,2 => UNS
* INC # E4: 3 # B6: 4,7 => UNS
* INC # E4: 3 # B6: 1,2,6 => UNS
* DIS # E4: 3 # E1: 4,7 => CTR => E1: 6,8,9
* INC # E4: 3 + E1: 6,8,9 # E8: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # E9: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # F6: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # F6: 1,2 => UNS
* INC # E4: 3 + E1: 6,8,9 # B6: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # B6: 1,2,6 => UNS
* INC # E4: 3 + E1: 6,8,9 # E8: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # E9: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # F6: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # F6: 1,2 => UNS
* INC # E4: 3 + E1: 6,8,9 # B6: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # B6: 1,2,6 => UNS
* INC # E4: 3 + E1: 6,8,9 # E8: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 # E9: 4,7 => UNS
* INC # E4: 3 + E1: 6,8,9 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for F7,E9: 9..:

* INC # F7: 9 # D2: 1,7 => UNS
* INC # F7: 9 # D3: 1,7 => UNS
* INC # F7: 9 # A3: 1,7 => UNS
* INC # F7: 9 # B3: 1,7 => UNS
* INC # F7: 9 # F4: 1,7 => UNS
* INC # F7: 9 # F6: 1,7 => UNS
* INC # F7: 9 # E8: 4,7 => UNS
* INC # F7: 9 # F8: 4,7 => UNS
* INC # F7: 9 # D9: 4,7 => UNS
* INC # F7: 9 # E1: 4,7 => UNS
* INC # F7: 9 # E6: 4,7 => UNS
* INC # F7: 9 => UNS
* DIS # E9: 9 # D7: 2,4 => CTR => D7: 6
* INC # E9: 9 + D7: 6 # F8: 2,4 => UNS
* INC # E9: 9 + D7: 6 # D9: 2,4 => UNS
* INC # E9: 9 + D7: 6 # A7: 2,4 => UNS
* PRF # E9: 9 + D7: 6 # B7: 2,4 => SOL
* STA # E9: 9 + D7: 6 + B7: 2,4
* CNT  17 HDP CHAINS /  18 HYP OPENED