Analysis of xx-ph-00000440-158-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ..3..6.8....1..2......7...4..9..8.6.....4.1...7.26......5.....38....5...96.....5. initial

Autosolve

position: ..3..6.8....1..2......7...4..9..8.6.....4.1...7.26......5.....383...5...96.....5. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E4,F6: 1..:

* DIS # E4: 1 # F5: 3,9 => CTR => F5: 7
* DIS # E4: 1 + F5: 7 # F3: 3,9 => CTR => F3: 2
* DIS # E4: 1 + F5: 7 + F3: 2 # F2: 4 => CTR => F2: 3,9
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # B1: 5,9 => CTR => B1: 1,2
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # E2: 3,9 => CTR => E2: 5,8
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # H2: 7 => CTR => H2: 3,9
* PRF # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 # D5: 9 => SOL
* STA # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 + D5: 9
* CNT   7 HDP CHAINS /  42 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

..3..6.8....1..2......7...4..9..8.6.....4.1...7.26......5.....38....5...96.....5. initial
..3..6.8....1..2......7...4..9..8.6.....4.1...7.26......5.....383...5...96.....5. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,H3: 1.. / I1 = 1  =>  1 pairs (_) / H3 = 1  =>  0 pairs (_)
E4,F6: 1.. / E4 = 1  =>  3 pairs (_) / F6 = 1  =>  2 pairs (_)
E1,F3: 2.. / E1 = 2  =>  2 pairs (_) / F3 = 2  =>  1 pairs (_)
D1,F2: 4.. / D1 = 4  =>  1 pairs (_) / F2 = 4  =>  1 pairs (_)
I2,G3: 6.. / I2 = 6  =>  0 pairs (_) / G3 = 6  =>  1 pairs (_)
A5,C5: 6.. / A5 = 6  =>  1 pairs (_) / C5 = 6  =>  0 pairs (_)
D7,D8: 6.. / D7 = 6  =>  0 pairs (_) / D8 = 6  =>  0 pairs (_)
D7,G7: 6.. / D7 = 6  =>  0 pairs (_) / G7 = 6  =>  0 pairs (_)
I2,I8: 6.. / I2 = 6  =>  0 pairs (_) / I8 = 6  =>  1 pairs (_)
E2,D3: 8.. / E2 = 8  =>  2 pairs (_) / D3 = 8  =>  0 pairs (_)
* DURATION: 0:00:05.889448  START: 17:47:19.679754  END: 17:47:25.569202 2020-10-25
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E4,F6: 1.. / E4 = 1 ==>  0 pairs (*) / F6 = 1  =>  0 pairs (X)
* DURATION: 0:00:26.843492  START: 17:47:25.569800  END: 17:47:52.413292 2020-10-25
* REASONING E4,F6: 1..
* DIS # E4: 1 # F5: 3,9 => CTR => F5: 7
* DIS # E4: 1 + F5: 7 # F3: 3,9 => CTR => F3: 2
* DIS # E4: 1 + F5: 7 + F3: 2 # F2: 4 => CTR => F2: 3,9
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # B1: 5,9 => CTR => B1: 1,2
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # E2: 3,9 => CTR => E2: 5,8
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # H2: 7 => CTR => H2: 3,9
* PRF # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 # D5: 9 => SOL
* STA # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 + D5: 9
* CNT   7 HDP CHAINS /  42 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

440;158;elev;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,F6: 1..:

* INC # E4: 1 # F2: 4,9 => UNS
* INC # E4: 1 # F2: 3 => UNS
* INC # E4: 1 # B1: 4,9 => UNS
* INC # E4: 1 # B1: 1,2,5 => UNS
* INC # E4: 1 # D7: 4,9 => UNS
* INC # E4: 1 # D8: 4,9 => UNS
* INC # E4: 1 # D5: 3,9 => UNS
* DIS # E4: 1 # F5: 3,9 => CTR => F5: 7
* INC # E4: 1 + F5: 7 # D5: 3,9 => UNS
* INC # E4: 1 + F5: 7 # D5: 5 => UNS
* INC # E4: 1 + F5: 7 # G6: 3,9 => UNS
* INC # E4: 1 + F5: 7 # H6: 3,9 => UNS
* INC # E4: 1 + F5: 7 # F2: 3,9 => UNS
* DIS # E4: 1 + F5: 7 # F3: 3,9 => CTR => F3: 2
* INC # E4: 1 + F5: 7 + F3: 2 # F2: 3,9 => UNS
* DIS # E4: 1 + F5: 7 + F3: 2 # F2: 4 => CTR => F2: 3,9
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # D5: 3,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # D5: 5 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # G6: 3,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # H6: 3,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # E7: 2,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # E7: 8 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # H8: 2,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # I8: 2,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # E2: 5,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # E2: 3,8 => UNS
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 # B1: 5,9 => CTR => B1: 1,2
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # G1: 5,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # I1: 5,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # E2: 5,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # E2: 3,8 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # G1: 5,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # I1: 5,9 => UNS
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 # E2: 3,9 => CTR => E2: 5,8
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # D3: 3,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # D3: 3,9 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # D3: 8 => UNS
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # H2: 3,9 => UNS
* DIS # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 # H2: 7 => CTR => H2: 3,9
* INC # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 # D5: 3,5 => UNS
* PRF # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 # D5: 9 => SOL
* STA # E4: 1 + F5: 7 + F3: 2 + F2: 3,9 + B1: 1,2 + E2: 5,8 + H2: 3,9 + D5: 9
* CNT  41 HDP CHAINS /  42 HYP OPENED