Analysis of xx-ph-00035144-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.....9....5.4....39.8......7....3....2....1....6..8.3....5.........2.4. initial

Autosolve

position: 98.7..6..7.....9....5.4....39.8......7....3....2....1....6..8.3....5.........2.4. 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 D3,F3: 9..:

* DIS # D3: 9 # F8: 1,3 => CTR => F8: 4,7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 # E9: 1,3 => CTR => E9: 7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 # C9: 1,3 => CTR => C9: 6,7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # F6: 4,5 => CTR => F6: 3,6,7,9
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 # G6: 4,5 => CTR => G6: 7
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 # D5: 4,5 => CTR => D5: 1,2
* PRF # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 # F5: 1,6,9 => SOL
* STA # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 + F5: 1,6,9
* CNT   7 HDP CHAINS /  26 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

98.7..6..7.....9....5.4....39.8......7....3....2....1....6..8.3....5.........2.4. initial
98.7..6..7.....9....5.4....39.8......7....3....2....1....6..8.3....5.........2.4. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 4.. / I1 = 4  =>  1 pairs (_) / I2 = 4  =>  1 pairs (_)
G4,G6: 4.. / G4 = 4  =>  2 pairs (_) / G6 = 4  =>  1 pairs (_)
C1,I1: 4.. / C1 = 4  =>  1 pairs (_) / I1 = 4  =>  1 pairs (_)
F8,E9: 8.. / F8 = 8  =>  0 pairs (_) / E9 = 8  =>  0 pairs (_)
A6,I6: 8.. / A6 = 8  =>  1 pairs (_) / I6 = 8  =>  0 pairs (_)
E2,E9: 8.. / E2 = 8  =>  0 pairs (_) / E9 = 8  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  =>  1 pairs (_) / F3 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.522010  START: 16:21:56.927319  END: 16:22:01.449329 2020-12-15
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,F3: 9.. / D3 = 9 ==>  0 pairs (*) / F3 = 9 ==>  2 pairs (_)
* DURATION: 0:00:18.714234  START: 16:22:01.449933  END: 16:22:20.164167 2020-12-15
* REASONING D3,F3: 9..
* DIS # D3: 9 # F8: 1,3 => CTR => F8: 4,7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 # E9: 1,3 => CTR => E9: 7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 # C9: 1,3 => CTR => C9: 6,7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # F6: 4,5 => CTR => F6: 3,6,7,9
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 # G6: 4,5 => CTR => G6: 7
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 # D5: 4,5 => CTR => D5: 1,2
* PRF # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 # F5: 1,6,9 => SOL
* STA # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 + F5: 1,6,9
* CNT   7 HDP CHAINS /  26 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

35144;12_05;GP;21;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,F3: 9..:

* INC # F3: 9 => UNS
* INC # D3: 9 # D8: 1,3 => UNS
* DIS # D3: 9 # F8: 1,3 => CTR => F8: 4,7,8,9
* DIS # D3: 9 + F8: 4,7,8,9 # E9: 1,3 => CTR => E9: 7,8,9
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 # D8: 1,3 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 # D8: 4 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 # B9: 1,3 => UNS
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 # C9: 1,3 => CTR => C9: 6,7,8,9
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # B9: 1,3 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # B9: 5,6 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # D8: 1,3 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # D8: 4 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # B9: 1,3 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # B9: 5,6 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # F4: 4,5 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # D5: 4,5 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # F5: 4,5 => UNS
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 # F6: 4,5 => CTR => F6: 3,6,7,9
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 # A6: 4,5 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 # B6: 4,5 => UNS
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 # G6: 4,5 => CTR => G6: 7
* DIS # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 # D5: 4,5 => CTR => D5: 1,2
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 # F5: 4,5 => UNS
* INC # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 # F5: 4,5 => UNS
* PRF # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 # F5: 1,6,9 => SOL
* STA # D3: 9 + F8: 4,7,8,9 + E9: 7,8,9 + C9: 6,7,8,9 + F6: 3,6,7,9 + G6: 7 + D5: 1,2 + F5: 1,6,9
* CNT  25 HDP CHAINS /  26 HYP OPENED