Analysis of xx-ph-01115283-13_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.......7.6.9.......5...4...9..3...6..75......2...13.......4.1.....8...96..2.. initial

Autosolve

position: 98.7.......7.6.9.....9.5...4...9..3...6..75......2...13.......4.1.....8...96..2.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C7,A9: 8..:

* DIS # C7: 8 # B9: 5,7 => CTR => B9: 4
* DIS # C7: 8 + B9: 4 # E9: 5,7 => CTR => E9: 1,3,8
* DIS # C7: 8 + B9: 4 + E9: 1,3,8 # C1: 2,5 => CTR => C1: 1,3,4
* CNT   3 HDP CHAINS /  91 HYP OPENED

List of important HDP chains detected for D4,D6: 5..:

* PRF # D6: 5 # F4: 1,8 => SOL
* STA # D6: 5 + F4: 1,8
* CNT   1 HDP CHAINS /   8 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.......7.6.9.......5...4...9..3...6..75......2...13.......4.1.....8...96..2.. initial
98.7.......7.6.9.....9.5...4...9..3...6..75......2...13.......4.1.....8...96..2.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,A5: 1.. / C4 = 1  =>  3 pairs (_) / A5 = 1  =>  2 pairs (_)
C8,B9: 4.. / C8 = 4  =>  2 pairs (_) / B9 = 4  =>  1 pairs (_)
D4,D6: 5.. / D4 = 5  =>  1 pairs (_) / D6 = 5  =>  3 pairs (_)
A3,B3: 6.. / A3 = 6  =>  1 pairs (_) / B3 = 6  =>  2 pairs (_)
F4,F6: 6.. / F4 = 6  =>  1 pairs (_) / F6 = 6  =>  1 pairs (_)
B7,A8: 6.. / B7 = 6  =>  1 pairs (_) / A8 = 6  =>  2 pairs (_)
A3,A8: 6.. / A3 = 6  =>  1 pairs (_) / A8 = 6  =>  2 pairs (_)
B3,B7: 6.. / B3 = 6  =>  2 pairs (_) / B7 = 6  =>  1 pairs (_)
C7,A9: 8.. / C7 = 8  =>  3 pairs (_) / A9 = 8  =>  3 pairs (_)
B5,B6: 9.. / B5 = 9  =>  2 pairs (_) / B6 = 9  =>  1 pairs (_)
F7,F8: 9.. / F7 = 9  =>  1 pairs (_) / F8 = 9  =>  2 pairs (_)
H7,I8: 9.. / H7 = 9  =>  2 pairs (_) / I8 = 9  =>  1 pairs (_)
B6,H6: 9.. / B6 = 9  =>  1 pairs (_) / H6 = 9  =>  2 pairs (_)
F7,H7: 9.. / F7 = 9  =>  1 pairs (_) / H7 = 9  =>  2 pairs (_)
F8,I8: 9.. / F8 = 9  =>  2 pairs (_) / I8 = 9  =>  1 pairs (_)
I5,I8: 9.. / I5 = 9  =>  2 pairs (_) / I8 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.906199  START: 17:43:30.249595  END: 17:43:41.155794 2020-10-31
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C7,A9: 8.. / C7 = 8 ==>  6 pairs (_) / A9 = 8 ==>  3 pairs (_)
C4,A5: 1.. / C4 = 1 ==>  3 pairs (_) / A5 = 1 ==>  2 pairs (_)
D4,D6: 5.. / D4 = 5  =>  0 pairs (X) / D6 = 5 ==>  0 pairs (*)
* DURATION: 0:01:10.225024  START: 17:43:41.156432  END: 17:44:51.381456 2020-10-31
* REASONING C7,A9: 8..
* DIS # C7: 8 # B9: 5,7 => CTR => B9: 4
* DIS # C7: 8 + B9: 4 # E9: 5,7 => CTR => E9: 1,3,8
* DIS # C7: 8 + B9: 4 + E9: 1,3,8 # C1: 2,5 => CTR => C1: 1,3,4
* CNT   3 HDP CHAINS /  91 HYP OPENED
* REASONING D4,D6: 5..
* PRF # D6: 5 # F4: 1,8 => SOL
* STA # D6: 5 + F4: 1,8
* CNT   1 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1115283;13_09;GP;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C7,A9: 8..:

* INC # C7: 8 # B6: 3,5 => UNS
* INC # C7: 8 # B6: 7,9 => UNS
* INC # C7: 8 # D6: 3,5 => UNS
* INC # C7: 8 # D6: 4,8 => UNS
* INC # C7: 8 # C1: 3,5 => UNS
* INC # C7: 8 # C1: 1,2,4 => UNS
* INC # C7: 8 # B7: 5,7 => UNS
* INC # C7: 8 # A8: 5,7 => UNS
* DIS # C7: 8 # B9: 5,7 => CTR => B9: 4
* DIS # C7: 8 + B9: 4 # E9: 5,7 => CTR => E9: 1,3,8
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # H9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # I9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # A6: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # A6: 8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # B7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # A8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # H9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # I9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # A6: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # A6: 8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # F7: 1,2 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # F7: 9 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # D2: 1,2 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # D2: 3,4,8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # B6: 3,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # B6: 7,9 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # D6: 3,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # D6: 4,8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # C1: 3,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # C1: 1,2,4 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # B7: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 # A8: 2,5 => UNS
* DIS # C7: 8 + B9: 4 + E9: 1,3,8 # C1: 2,5 => CTR => C1: 1,3,4
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 1 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B7: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A8: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 1 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # H9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # I9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A6: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A6: 8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # F7: 1,2 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # F7: 9 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # D2: 1,2 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # D2: 3,4,8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # H7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # I8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B6: 3,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B6: 7,9 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # D6: 3,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # D6: 4,8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B7: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A8: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 2,5 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # C4: 1 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # H9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # I9: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A6: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A6: 8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # F7: 1,2 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # F7: 9 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # D2: 1,2 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # D2: 3,4,8 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # B7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # H7: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # A8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 # I8: 5,7 => UNS
* INC # C7: 8 + B9: 4 + E9: 1,3,8 + C1: 1,3,4 => UNS
* INC # A9: 8 # C4: 1,2 => UNS
* INC # A9: 8 # C4: 5,8 => UNS
* INC # A9: 8 # A2: 1,2 => UNS
* INC # A9: 8 # A3: 1,2 => UNS
* INC # A9: 8 # B4: 5,7 => UNS
* INC # A9: 8 # B6: 5,7 => UNS
* INC # A9: 8 # A8: 5,7 => UNS
* INC # A9: 8 # A8: 2,6 => UNS
* INC # A9: 8 # B7: 2,5 => UNS
* INC # A9: 8 # A8: 2,5 => UNS
* INC # A9: 8 # C8: 2,5 => UNS
* INC # A9: 8 # C1: 2,5 => UNS
* INC # A9: 8 # C4: 2,5 => UNS
* INC # A9: 8 => UNS
* CNT  91 HDP CHAINS /  91 HYP OPENED

Full list of HDP chains traversed for C4,A5: 1..:

* INC # C4: 1 # I5: 2,8 => UNS
* INC # C4: 1 # I5: 9 => UNS
* INC # C4: 1 # D6: 5,8 => UNS
* INC # C4: 1 # D6: 3,4 => UNS
* INC # C4: 1 # F6: 6,8 => UNS
* INC # C4: 1 # F6: 3,4 => UNS
* INC # C4: 1 # G4: 6,8 => UNS
* INC # C4: 1 # I4: 6,8 => UNS
* INC # C4: 1 => UNS
* INC # A5: 1 # C1: 2,5 => UNS
* INC # A5: 1 # B2: 2,5 => UNS
* INC # A5: 1 # H2: 2,5 => UNS
* INC # A5: 1 # I2: 2,5 => UNS
* INC # A5: 1 # A8: 2,5 => UNS
* INC # A5: 1 # A8: 6,7 => UNS
* INC # A5: 1 # B3: 2,6 => UNS
* INC # A5: 1 # B3: 3,4 => UNS
* INC # A5: 1 # A8: 2,6 => UNS
* INC # A5: 1 # A8: 5,7 => UNS
* INC # A5: 1 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for D4,D6: 5..:

* INC # D6: 5 # G6: 7,8 => UNS
* INC # D6: 5 # G6: 4,6 => UNS
* INC # D6: 5 # A9: 7,8 => UNS
* INC # D6: 5 # A9: 5 => UNS
* INC # D6: 5 # F6: 3,8 => UNS
* INC # D6: 5 # F6: 4,6 => UNS
* PRF # D6: 5 # F4: 1,8 => SOL
* STA # D6: 5 + F4: 1,8
* CNT   7 HDP CHAINS /   8 HYP OPENED