Analysis of xx-ph-00015674-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9..8..7...8..7..6...7..5..48..3..2......6..7......4..51....2.3..9.1.......8...1.. initial

Autosolve

position: 9..8..7...8..7..6...7..5..48..3..2......6..7......4..51....2.3..9.1.......8...1.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000016

List of important HDP chains detected for F5,F8: 8..:

* DIS # F8: 8 # I2: 3,9 => CTR => I2: 1,2
* DIS # F8: 8 + I2: 1,2 # G2: 5 => CTR => G2: 3,9
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 # E3: 3,9 => CTR => E3: 1,2
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 # F2: 3 => CTR => F2: 1,9
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 # E1: 1,2 => CTR => E1: 3,4
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 # A9: 3,6 => CTR => A9: 2,4,5,7
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 + A9: 2,4,5,7 # B9: 3,6 => CTR => B9: 2,4,5,7
* PRF # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 + A9: 2,4,5,7 + B9: 2,4,5,7 => SOL
* STA F8: 8
* CNT   8 HDP CHAINS /  19 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

9..8..7...8..7..6...7..5..48..3..2......6..7......4..51....2.3..9.1.......8...1.. initial
9..8..7...8..7..6...7..5..48..3..2......6..7......4..51....2.3..9.1.......8...1.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E1,D2: 4.. / E1 = 4  =>  1 pairs (_) / D2 = 4  =>  0 pairs (_)
H4,G5: 4.. / H4 = 4  =>  0 pairs (_) / G5 = 4  =>  1 pairs (_)
H1,G2: 5.. / H1 = 5  =>  1 pairs (_) / G2 = 5  =>  1 pairs (_)
E4,D5: 5.. / E4 = 5  =>  1 pairs (_) / D5 = 5  =>  1 pairs (_)
F1,D3: 6.. / F1 = 6  =>  1 pairs (_) / D3 = 6  =>  2 pairs (_)
I4,G6: 6.. / I4 = 6  =>  0 pairs (_) / G6 = 6  =>  1 pairs (_)
F4,D6: 7.. / F4 = 7  =>  1 pairs (_) / D6 = 7  =>  1 pairs (_)
B4,F4: 7.. / B4 = 7  =>  1 pairs (_) / F4 = 7  =>  1 pairs (_)
G3,H3: 8.. / G3 = 8  =>  0 pairs (_) / H3 = 8  =>  2 pairs (_)
F5,E6: 8.. / F5 = 8  =>  0 pairs (_) / E6 = 8  =>  5 pairs (_)
F5,F8: 8.. / F5 = 8  =>  0 pairs (_) / F8 = 8  =>  5 pairs (_)
* DURATION: 0:00:07.183307  START: 00:42:53.547011  END: 00:43:00.730318 2020-12-04
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F5,F8: 8.. / F5 = 8  =>  0 pairs (X) / F8 = 8 ==>  0 pairs (*)
* DURATION: 0:00:23.338759  START: 00:43:00.731503  END: 00:43:24.070262 2020-12-04
* REASONING F5,F8: 8..
* DIS # F8: 8 # I2: 3,9 => CTR => I2: 1,2
* DIS # F8: 8 + I2: 1,2 # G2: 5 => CTR => G2: 3,9
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 # E3: 3,9 => CTR => E3: 1,2
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 # F2: 3 => CTR => F2: 1,9
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 # E1: 1,2 => CTR => E1: 3,4
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 # A9: 3,6 => CTR => A9: 2,4,5,7
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 + A9: 2,4,5,7 # B9: 3,6 => CTR => B9: 2,4,5,7
* PRF # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 + A9: 2,4,5,7 + B9: 2,4,5,7 => SOL
* STA F8: 8
* CNT   8 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

15674;Kz1 b;GP;23;11.30;11.30;7.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F5,F8: 8..:

* INC # F8: 8 # D7: 4,9 => UNS
* INC # F8: 8 # D9: 4,9 => UNS
* INC # F8: 8 # D7: 6,9 => UNS
* INC # F8: 8 # D9: 6,9 => UNS
* INC # F8: 8 # G2: 3,9 => UNS
* DIS # F8: 8 # I2: 3,9 => CTR => I2: 1,2
* INC # F8: 8 + I2: 1,2 # G2: 3,9 => UNS
* DIS # F8: 8 + I2: 1,2 # G2: 5 => CTR => G2: 3,9
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 # E3: 3,9 => CTR => E3: 1,2
* INC # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 # C5: 1,9 => UNS
* INC # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 # C5: 2,4,5 => UNS
* INC # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 # F2: 1,9 => UNS
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 # F2: 3 => CTR => F2: 1,9
* INC # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 # C5: 1,9 => UNS
* INC # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 # C5: 2,4,5 => UNS
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 # E1: 1,2 => CTR => E1: 3,4
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 # A9: 3,6 => CTR => A9: 2,4,5,7
* DIS # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 + A9: 2,4,5,7 # B9: 3,6 => CTR => B9: 2,4,5,7
* PRF # F8: 8 + I2: 1,2 + G2: 3,9 + E3: 1,2 + F2: 1,9 + E1: 3,4 + A9: 2,4,5,7 + B9: 2,4,5,7 => SOL
* STA F8: 8
* CNT  19 HDP CHAINS /  19 HYP OPENED