Analysis of xx-ph-00009307-cy4-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7.5..9.4....3.....58..9......2...1..69..5......4...3.....1.2. initial

Autosolve

position: 98.7.....65....7....7.5..9.4....3.....58..9......2...1..69..5......4...3.....1.29 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

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 F2,F6: 9..:

* DIS # F6: 9 # H6: 3,8 => CTR => H6: 4,5,6,7
* DIS # F6: 9 + H6: 4,5,6,7 # E9: 3,6 => CTR => E9: 7,8
* DIS # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # H6: 6,7 => CTR => H6: 4,5
* PRF # F6: 9 + H6: 4,5,6,7 + E9: 7,8 + H6: 4,5 # A7: 2,7 => SOL
* STA # F6: 9 + H6: 4,5,6,7 + E9: 7,8 + H6: 4,5 + A7: 2,7
* CNT   4 HDP CHAINS /  29 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....7.5..9.4....3.....58..9......2...1..69..5......4...3.....1.2. initial
98.7.....65....7....7.5..9.4....3.....58..9......2...1..69..5......4...3.....1.29 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,I1: 5.. / H1 = 5  =>  1 pairs (_) / I1 = 5  =>  0 pairs (_)
A8,A9: 5.. / A8 = 5  =>  5 pairs (_) / A9 = 5  =>  1 pairs (_)
A9,D9: 5.. / A9 = 5  =>  1 pairs (_) / D9 = 5  =>  5 pairs (_)
F6,F8: 5.. / F6 = 5  =>  2 pairs (_) / F8 = 5  =>  2 pairs (_)
I1,I4: 5.. / I1 = 5  =>  0 pairs (_) / I4 = 5  =>  1 pairs (_)
E2,F2: 9.. / E2 = 9  =>  4 pairs (_) / F2 = 9  =>  0 pairs (_)
E4,F6: 9.. / E4 = 9  =>  0 pairs (_) / F6 = 9  =>  4 pairs (_)
B8,C8: 9.. / B8 = 9  =>  0 pairs (_) / C8 = 9  =>  1 pairs (_)
E2,E4: 9.. / E2 = 9  =>  4 pairs (_) / E4 = 9  =>  0 pairs (_)
F2,F6: 9.. / F2 = 9  =>  0 pairs (_) / F6 = 9  =>  4 pairs (_)
* DURATION: 0:00:06.376302  START: 04:06:47.646406  END: 04:06:54.022708 2020-12-01
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A9,D9: 5.. / A9 = 5 ==>  1 pairs (_) / D9 = 5 ==>  5 pairs (_)
A8,A9: 5.. / A8 = 5 ==>  5 pairs (_) / A9 = 5 ==>  1 pairs (_)
F2,F6: 9.. / F2 = 9  =>  0 pairs (X) / F6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:46.666567  START: 04:06:54.023432  END: 04:07:40.689999 2020-12-01
* REASONING F2,F6: 9..
* DIS # F6: 9 # H6: 3,8 => CTR => H6: 4,5,6,7
* DIS # F6: 9 + H6: 4,5,6,7 # E9: 3,6 => CTR => E9: 7,8
* DIS # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # H6: 6,7 => CTR => H6: 4,5
* PRF # F6: 9 + H6: 4,5,6,7 + E9: 7,8 + H6: 4,5 # A7: 2,7 => SOL
* STA # F6: 9 + H6: 4,5,6,7 + E9: 7,8 + H6: 4,5 + A7: 2,7
* CNT   4 HDP CHAINS /  29 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

9307;cy4;GP;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A9,D9: 5..:

* INC # D9: 5 # D3: 1,6 => UNS
* INC # D9: 5 # D3: 2,3,4 => UNS
* INC # D9: 5 # G1: 1,6 => UNS
* INC # D9: 5 # H1: 1,6 => UNS
* INC # D9: 5 # E5: 1,6 => UNS
* INC # D9: 5 # E5: 7 => UNS
* INC # D9: 5 # H2: 1,8 => UNS
* INC # D9: 5 # H2: 3,4 => UNS
* INC # D9: 5 # E5: 1,6 => UNS
* INC # D9: 5 # E5: 7 => UNS
* INC # D9: 5 # B4: 1,6 => UNS
* INC # D9: 5 # B4: 2,7 => UNS
* INC # D9: 5 # D3: 1,6 => UNS
* INC # D9: 5 # D3: 2,3,4 => UNS
* INC # D9: 5 # F5: 4,6 => UNS
* INC # D9: 5 # F5: 7 => UNS
* INC # D9: 5 # G6: 4,6 => UNS
* INC # D9: 5 # H6: 4,6 => UNS
* INC # D9: 5 # D3: 4,6 => UNS
* INC # D9: 5 # D3: 1,2,3 => UNS
* INC # D9: 5 # F8: 2,6 => UNS
* INC # D9: 5 # F8: 7,8 => UNS
* INC # D9: 5 # D3: 2,6 => UNS
* INC # D9: 5 # D3: 1,3,4 => UNS
* INC # D9: 5 => UNS
* INC # A9: 5 # E9: 3,6 => UNS
* INC # A9: 5 # E9: 7,8 => UNS
* INC # A9: 5 # D3: 3,6 => UNS
* INC # A9: 5 # D3: 1,2,4 => UNS
* INC # A9: 5 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for A8,A9: 5..:

* INC # A8: 5 # D3: 1,6 => UNS
* INC # A8: 5 # D3: 2,3,4 => UNS
* INC # A8: 5 # G1: 1,6 => UNS
* INC # A8: 5 # H1: 1,6 => UNS
* INC # A8: 5 # E5: 1,6 => UNS
* INC # A8: 5 # E5: 7 => UNS
* INC # A8: 5 # H2: 1,8 => UNS
* INC # A8: 5 # H2: 3,4 => UNS
* INC # A8: 5 # E5: 1,6 => UNS
* INC # A8: 5 # E5: 7 => UNS
* INC # A8: 5 # B4: 1,6 => UNS
* INC # A8: 5 # B4: 2,7 => UNS
* INC # A8: 5 # D3: 1,6 => UNS
* INC # A8: 5 # D3: 2,3,4 => UNS
* INC # A8: 5 # F5: 4,6 => UNS
* INC # A8: 5 # F5: 7 => UNS
* INC # A8: 5 # G6: 4,6 => UNS
* INC # A8: 5 # H6: 4,6 => UNS
* INC # A8: 5 # D3: 4,6 => UNS
* INC # A8: 5 # D3: 1,2,3 => UNS
* INC # A8: 5 # F8: 2,6 => UNS
* INC # A8: 5 # F8: 7,8 => UNS
* INC # A8: 5 # D3: 2,6 => UNS
* INC # A8: 5 # D3: 1,3,4 => UNS
* INC # A8: 5 => UNS
* INC # A9: 5 # E9: 3,6 => UNS
* INC # A9: 5 # E9: 7,8 => UNS
* INC # A9: 5 # D3: 3,6 => UNS
* INC # A9: 5 # D3: 1,2,4 => UNS
* INC # A9: 5 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for F2,F6: 9..:

* INC # F6: 9 # A6: 3,8 => UNS
* INC # F6: 9 # A6: 7 => UNS
* INC # F6: 9 # G6: 3,8 => UNS
* DIS # F6: 9 # H6: 3,8 => CTR => H6: 4,5,6,7
* INC # F6: 9 + H6: 4,5,6,7 # G6: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # G6: 4,6 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # C9: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # C9: 4 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # A6: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # A6: 7 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # G6: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # G6: 4,6 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # C9: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # C9: 4 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # A7: 2,7 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # B7: 2,7 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # D3: 2,6 => UNS
* INC # F6: 9 + H6: 4,5,6,7 # D3: 1,3,4 => UNS
* DIS # F6: 9 + H6: 4,5,6,7 # E9: 3,6 => CTR => E9: 7,8
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # A6: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # A6: 7 => UNS
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # G6: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # G6: 4,6 => UNS
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # C9: 3,8 => UNS
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # C9: 4 => UNS
* INC # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # H6: 4,5 => UNS
* DIS # F6: 9 + H6: 4,5,6,7 + E9: 7,8 # H6: 6,7 => CTR => H6: 4,5
* PRF # F6: 9 + H6: 4,5,6,7 + E9: 7,8 + H6: 4,5 # A7: 2,7 => SOL
* STA # F6: 9 + H6: 4,5,6,7 + E9: 7,8 + H6: 4,5 + A7: 2,7
* CNT  28 HDP CHAINS /  29 HYP OPENED