Analysis of xx-ph-00015751-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....5....5.6..9..9..7..8...4..37.....2....1.5..8..4....1....3.....72.. initial

Autosolve

position: 98.7.....6.....5....5.6..9..9..7..8...4..37.....2....1.5..8..4....1....3.....72.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for I5,G6: 9..:

* DIS # G6: 9 # F6: 4,5 => CTR => F6: 6,8
* CNT   1 HDP CHAINS /  50 HYP OPENED

List of important HDP chains detected for G3,G8: 8..:

* DIS # G3: 8 # D2: 3,4 => CTR => D2: 8,9
* PRF # G3: 8 + D2: 8,9 # E2: 3,4 => SOL
* STA # G3: 8 + D2: 8,9 + E2: 3,4
* CNT   2 HDP CHAINS /   4 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.....5....5.6..9..9..7..8...4..37.....2....1.5..8..4....1....3.....72.. initial
98.7.....6.....5....5.6..9..9..7..8...4..37.....2....1.5..8..4....1....3.....72.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F4,E5: 1.. / F4 = 1  =>  1 pairs (_) / E5 = 1  =>  1 pairs (_)
G7,H9: 1.. / G7 = 1  =>  1 pairs (_) / H9 = 1  =>  1 pairs (_)
E1,F1: 5.. / E1 = 5  =>  2 pairs (_) / F1 = 5  =>  0 pairs (_)
I7,H8: 7.. / I7 = 7  =>  1 pairs (_) / H8 = 7  =>  3 pairs (_)
H2,H8: 7.. / H2 = 7  =>  1 pairs (_) / H8 = 7  =>  3 pairs (_)
D5,F6: 8.. / D5 = 8  =>  1 pairs (_) / F6 = 8  =>  2 pairs (_)
G8,I9: 8.. / G8 = 8  =>  0 pairs (_) / I9 = 8  =>  4 pairs (_)
A5,D5: 8.. / A5 = 8  =>  2 pairs (_) / D5 = 8  =>  1 pairs (_)
G3,G8: 8.. / G3 = 8  =>  4 pairs (_) / G8 = 8  =>  0 pairs (_)
I5,G6: 9.. / I5 = 9  =>  2 pairs (_) / G6 = 9  =>  4 pairs (_)
* DURATION: 0:00:06.718994  START: 01:52:09.598954  END: 01:52:16.317948 2020-12-04
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I5,G6: 9.. / I5 = 9 ==>  2 pairs (_) / G6 = 9 ==>  4 pairs (_)
G3,G8: 8.. / G3 = 8 ==>  0 pairs (*) / G8 = 8  =>  0 pairs (X)
* DURATION: 0:00:32.667707  START: 01:52:16.318612  END: 01:52:48.986319 2020-12-04
* REASONING I5,G6: 9..
* DIS # G6: 9 # F6: 4,5 => CTR => F6: 6,8
* CNT   1 HDP CHAINS /  50 HYP OPENED
* REASONING G3,G8: 8..
* DIS # G3: 8 # D2: 3,4 => CTR => D2: 8,9
* PRF # G3: 8 + D2: 8,9 # E2: 3,4 => SOL
* STA # G3: 8 + D2: 8,9 + E2: 3,4
* CNT   2 HDP CHAINS /   4 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

15751;Kz1 b;GP;23;11.30;11.30;9.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I5,G6: 9..:

* INC # G6: 9 # F4: 5,6 => UNS
* INC # G6: 9 # D5: 5,6 => UNS
* INC # G6: 9 # F6: 5,6 => UNS
* INC # G6: 9 # I4: 5,6 => UNS
* INC # G6: 9 # I4: 2,4 => UNS
* INC # G6: 9 # D9: 5,6 => UNS
* INC # G6: 9 # D9: 3,4,9 => UNS
* DIS # G6: 9 # F6: 4,5 => CTR => F6: 6,8
* INC # G6: 9 + F6: 6,8 # H9: 1,6 => UNS
* INC # G6: 9 + F6: 6,8 # H9: 5 => UNS
* INC # G6: 9 + F6: 6,8 # C7: 1,6 => UNS
* INC # G6: 9 + F6: 6,8 # C7: 2,3,7,9 => UNS
* INC # G6: 9 + F6: 6,8 # G1: 1,6 => UNS
* INC # G6: 9 + F6: 6,8 # G1: 3,4 => UNS
* INC # G6: 9 + F6: 6,8 # I9: 6,8 => UNS
* INC # G6: 9 + F6: 6,8 # I9: 5,9 => UNS
* INC # G6: 9 + F6: 6,8 # C8: 6,8 => UNS
* INC # G6: 9 + F6: 6,8 # C8: 2,7,9 => UNS
* INC # G6: 9 + F6: 6,8 # F4: 5,6 => UNS
* INC # G6: 9 + F6: 6,8 # D5: 5,6 => UNS
* INC # G6: 9 + F6: 6,8 # I4: 5,6 => UNS
* INC # G6: 9 + F6: 6,8 # I4: 2,4 => UNS
* INC # G6: 9 + F6: 6,8 # D9: 5,6 => UNS
* INC # G6: 9 + F6: 6,8 # D9: 3,4,9 => UNS
* INC # G6: 9 + F6: 6,8 # D5: 6,8 => UNS
* INC # G6: 9 + F6: 6,8 # D5: 5,9 => UNS
* INC # G6: 9 + F6: 6,8 # C6: 6,8 => UNS
* INC # G6: 9 + F6: 6,8 # C6: 3,7 => UNS
* INC # G6: 9 + F6: 6,8 # H9: 1,6 => UNS
* INC # G6: 9 + F6: 6,8 # H9: 5 => UNS
* INC # G6: 9 + F6: 6,8 # C7: 1,6 => UNS
* INC # G6: 9 + F6: 6,8 # C7: 2,3,7,9 => UNS
* INC # G6: 9 + F6: 6,8 # G1: 1,6 => UNS
* INC # G6: 9 + F6: 6,8 # G1: 3,4 => UNS
* INC # G6: 9 + F6: 6,8 # I9: 6,8 => UNS
* INC # G6: 9 + F6: 6,8 # I9: 5,9 => UNS
* INC # G6: 9 + F6: 6,8 # C8: 6,8 => UNS
* INC # G6: 9 + F6: 6,8 # C8: 2,7,9 => UNS
* INC # G6: 9 + F6: 6,8 => UNS
* INC # I5: 9 # F4: 1,5 => UNS
* INC # I5: 9 # F4: 4,6 => UNS
* INC # I5: 9 # A5: 1,5 => UNS
* INC # I5: 9 # A5: 2,8 => UNS
* INC # I5: 9 # E1: 1,5 => UNS
* INC # I5: 9 # E1: 2,3,4 => UNS
* INC # I5: 9 # H8: 6,7 => UNS
* INC # I5: 9 # H8: 5 => UNS
* INC # I5: 9 # C7: 6,7 => UNS
* INC # I5: 9 # C7: 1,2,3,9 => UNS
* INC # I5: 9 => UNS
* CNT  50 HDP CHAINS /  50 HYP OPENED

Full list of HDP chains traversed for G3,G8: 8..:

* INC # G3: 8 # E1: 3,4 => UNS
* DIS # G3: 8 # D2: 3,4 => CTR => D2: 8,9
* PRF # G3: 8 + D2: 8,9 # E2: 3,4 => SOL
* STA # G3: 8 + D2: 8,9 + E2: 3,4
* CNT   3 HDP CHAINS /   4 HYP OPENED