Analysis of xx-ph-00021699-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3..2.......1..6 initial

Autosolve

position: 98.7..6..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3.72.......1..6 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for F4,E6: 3..:

* DIS # F4: 3 # E5: 5,8 => CTR => E5: 1
* DIS # F4: 3 + E5: 1 # E2: 5,8 => CTR => E2: 2,3,6
* CNT   2 HDP CHAINS /  57 HYP OPENED

List of important HDP chains detected for E2,E8: 6..:

* DIS # E2: 6 # E9: 5,8 => CTR => E9: 2
* PRF # E2: 6 + E9: 2 # G7: 8,9 => SOL
* STA # E2: 6 + E9: 2 + G7: 8,9
* CNT   2 HDP CHAINS /  27 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..........5.9..8.5...7..6...46....3.....21...5..4..7....3..2.......1..6 initial
98.7..6..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3.72.......1..6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  2 pairs (_) / E5 = 1  =>  1 pairs (_)
I4,H5: 2.. / I4 = 2  =>  1 pairs (_) / H5 = 2  =>  1 pairs (_)
F4,E6: 3.. / F4 = 3  =>  4 pairs (_) / E6 = 3  =>  1 pairs (_)
F7,E8: 6.. / F7 = 6  =>  2 pairs (_) / E8 = 6  =>  1 pairs (_)
E2,E8: 6.. / E2 = 6  =>  2 pairs (_) / E8 = 6  =>  1 pairs (_)
G3,I3: 7.. / G3 = 7  =>  0 pairs (_) / I3 = 7  =>  1 pairs (_)
G5,I6: 7.. / G5 = 7  =>  1 pairs (_) / I6 = 7  =>  0 pairs (_)
B9,C9: 7.. / B9 = 7  =>  1 pairs (_) / C9 = 7  =>  0 pairs (_)
B5,G5: 7.. / B5 = 7  =>  0 pairs (_) / G5 = 7  =>  1 pairs (_)
C6,C9: 7.. / C6 = 7  =>  1 pairs (_) / C9 = 7  =>  0 pairs (_)
G3,G5: 7.. / G3 = 7  =>  0 pairs (_) / G5 = 7  =>  1 pairs (_)
I3,I6: 7.. / I3 = 7  =>  1 pairs (_) / I6 = 7  =>  0 pairs (_)
* DURATION: 0:00:07.024171  START: 13:46:15.013610  END: 13:46:22.037781 2020-12-07
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,E6: 3.. / F4 = 3 ==>  5 pairs (_) / E6 = 3 ==>  1 pairs (_)
E2,E8: 6.. / E2 = 6 ==>  0 pairs (*) / E8 = 6  =>  0 pairs (X)
* DURATION: 0:00:41.436822  START: 13:46:22.038350  END: 13:47:03.475172 2020-12-07
* REASONING F4,E6: 3..
* DIS # F4: 3 # E5: 5,8 => CTR => E5: 1
* DIS # F4: 3 + E5: 1 # E2: 5,8 => CTR => E2: 2,3,6
* CNT   2 HDP CHAINS /  57 HYP OPENED
* REASONING E2,E8: 6..
* DIS # E2: 6 # E9: 5,8 => CTR => E9: 2
* PRF # E2: 6 + E9: 2 # G7: 8,9 => SOL
* STA # E2: 6 + E9: 2 + G7: 8,9
* CNT   2 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

21699;KZ1C;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,E6: 3..:

* INC # F4: 3 # F2: 4,5 => UNS
* INC # F4: 3 # F2: 6,8 => UNS
* INC # F4: 3 # H1: 4,5 => UNS
* INC # F4: 3 # I1: 4,5 => UNS
* INC # F4: 3 # E1: 1,2 => UNS
* INC # F4: 3 # D2: 1,2 => UNS
* INC # F4: 3 # E2: 1,2 => UNS
* INC # F4: 3 # A3: 1,2 => UNS
* INC # F4: 3 # B3: 1,2 => UNS
* INC # F4: 3 # I3: 1,2 => UNS
* INC # F4: 3 # F2: 4,6 => UNS
* INC # F4: 3 # F2: 5,8 => UNS
* INC # F4: 3 # A3: 4,6 => UNS
* INC # F4: 3 # B3: 4,6 => UNS
* DIS # F4: 3 # E5: 5,8 => CTR => E5: 1
* INC # F4: 3 + E5: 1 # F5: 5,8 => UNS
* INC # F4: 3 + E5: 1 # D6: 5,8 => UNS
* INC # F4: 3 + E5: 1 # I6: 5,8 => UNS
* INC # F4: 3 + E5: 1 # I6: 4,7,9 => UNS
* DIS # F4: 3 + E5: 1 # E2: 5,8 => CTR => E2: 2,3,6
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # E8: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # E9: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # F5: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # D6: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 4,7,9 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # E8: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # E9: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 4,5 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 6,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # H1: 4,5 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # I1: 4,5 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # D2: 1,2 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # D2: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # A3: 1,2 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # B3: 1,2 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # I3: 1,2 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 4,6 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # A3: 4,6 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # B3: 4,6 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # C4: 2,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # C4: 1,9 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # A7: 2,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # A9: 2,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # F5: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # D6: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 4,7,9 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # E8: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 # E9: 5,8 => UNS
* INC # F4: 3 + E5: 1 + E2: 2,3,6 => UNS
* INC # E6: 3 # C6: 6,8 => UNS
* INC # E6: 3 # C6: 7,9 => UNS
* INC # E6: 3 # A7: 6,8 => UNS
* INC # E6: 3 # A8: 6,8 => UNS
* INC # E6: 3 => UNS
* CNT  57 HDP CHAINS /  57 HYP OPENED

Full list of HDP chains traversed for E2,E8: 6..:

* INC # E2: 6 # F1: 3,4 => UNS
* INC # E2: 6 # F2: 3,4 => UNS
* INC # E2: 6 # A3: 3,4 => UNS
* INC # E2: 6 # B3: 3,4 => UNS
* INC # E2: 6 # G3: 3,4 => UNS
* INC # E2: 6 # F4: 3,4 => UNS
* INC # E2: 6 # F4: 8,9 => UNS
* INC # E2: 6 # D9: 5,8 => UNS
* DIS # E2: 6 # E9: 5,8 => CTR => E9: 2
* INC # E2: 6 + E9: 2 # D9: 5,8 => UNS
* INC # E2: 6 + E9: 2 # D9: 9 => UNS
* INC # E2: 6 + E9: 2 # I8: 5,8 => UNS
* INC # E2: 6 + E9: 2 # I8: 1,4,9 => UNS
* INC # E2: 6 + E9: 2 # E5: 5,8 => UNS
* INC # E2: 6 + E9: 2 # E6: 5,8 => UNS
* INC # E2: 6 + E9: 2 # F1: 3,4 => UNS
* INC # E2: 6 + E9: 2 # F2: 3,4 => UNS
* INC # E2: 6 + E9: 2 # A3: 3,4 => UNS
* INC # E2: 6 + E9: 2 # B3: 3,4 => UNS
* INC # E2: 6 + E9: 2 # G3: 3,4 => UNS
* INC # E2: 6 + E9: 2 # F4: 3,4 => UNS
* INC # E2: 6 + E9: 2 # F4: 8,9 => UNS
* INC # E2: 6 + E9: 2 # D9: 8,9 => UNS
* INC # E2: 6 + E9: 2 # D9: 5 => UNS
* INC # E2: 6 + E9: 2 # C7: 8,9 => UNS
* PRF # E2: 6 + E9: 2 # G7: 8,9 => SOL
* STA # E2: 6 + E9: 2 + G7: 8,9
* CNT  26 HDP CHAINS /  27 HYP OPENED