Analysis of xx-ph-00370087-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1..2..3.4..4..5.6.......71...5..8..6.9....45.8..37.......92......1..4...6 initial

Autosolve

position: ...4....1..2..3.4..4..5.6.....5.71...5..8..6.9....45.8..37.......92......1..4...6 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 D2,D6: 6..:

* DIS # D2: 6 # F7: 1,9 => CTR => F7: 5,6,8
* CNT   1 HDP CHAINS /  27 HYP OPENED

List of important HDP chains detected for E8,D9: 3..:

* DIS # D9: 3 # E6: 1,6 => CTR => E6: 2,3
* DIS # D9: 3 + E6: 2,3 # C6: 7 => CTR => C6: 1,6
* DIS # E8: 3 # G9: 8,9 => CTR => G9: 2,3,7
* CNT   3 HDP CHAINS /  53 HYP OPENED

List of important HDP chains detected for A2,I2: 5..:

* PRF # A2: 5 # F7: 8,9 => SOL
* STA # A2: 5 + F7: 8,9
* CNT   1 HDP CHAINS /  17 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

........1..2..3.4..4..5.6.......71...5..8..6.9....45.8..37.......92......1..4...6 initial
...4....1..2..3.4..4..5.6.....5.71...5..8..6.9....45.8..37.......92......1..4...6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,H8: 1.. / H7 = 1  =>  1 pairs (_) / H8 = 1  =>  1 pairs (_)
E8,D9: 3.. / E8 = 3  =>  1 pairs (_) / D9 = 3  =>  3 pairs (_)
C4,C5: 4.. / C4 = 4  =>  1 pairs (_) / C5 = 4  =>  1 pairs (_)
A7,A8: 4.. / A7 = 4  =>  0 pairs (_) / A8 = 4  =>  0 pairs (_)
C4,I4: 4.. / C4 = 4  =>  1 pairs (_) / I4 = 4  =>  1 pairs (_)
H1,I2: 5.. / H1 = 5  =>  3 pairs (_) / I2 = 5  =>  0 pairs (_)
A2,I2: 5.. / A2 = 5  =>  3 pairs (_) / I2 = 5  =>  0 pairs (_)
C1,C9: 5.. / C1 = 5  =>  1 pairs (_) / C9 = 5  =>  1 pairs (_)
D2,D6: 6.. / D2 = 6  =>  3 pairs (_) / D6 = 6  =>  1 pairs (_)
E1,E2: 7.. / E1 = 7  =>  1 pairs (_) / E2 = 7  =>  2 pairs (_)
B1,B2: 9.. / B1 = 9  =>  0 pairs (_) / B2 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.723745  START: 20:57:23.083707  END: 20:57:29.807452 2020-10-28
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D2,D6: 6.. / D2 = 6 ==>  3 pairs (_) / D6 = 6 ==>  1 pairs (_)
E8,D9: 3.. / E8 = 3 ==>  1 pairs (_) / D9 = 3 ==>  5 pairs (_)
A2,I2: 5.. / A2 = 5 ==>  0 pairs (*) / I2 = 5  =>  0 pairs (X)
* DURATION: 0:00:50.685978  START: 20:57:29.807971  END: 20:58:20.493949 2020-10-28
* REASONING D2,D6: 6..
* DIS # D2: 6 # F7: 1,9 => CTR => F7: 5,6,8
* CNT   1 HDP CHAINS /  27 HYP OPENED
* REASONING E8,D9: 3..
* DIS # D9: 3 # E6: 1,6 => CTR => E6: 2,3
* DIS # D9: 3 + E6: 2,3 # C6: 7 => CTR => C6: 1,6
* DIS # E8: 3 # G9: 8,9 => CTR => G9: 2,3,7
* CNT   3 HDP CHAINS /  53 HYP OPENED
* REASONING A2,I2: 5..
* PRF # A2: 5 # F7: 8,9 => SOL
* STA # A2: 5 + F7: 8,9
* CNT   1 HDP CHAINS /  17 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

370087;12_12_03;dob;23;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D2,D6: 6..:

* INC # D2: 6 # D5: 1,3 => UNS
* INC # D2: 6 # E6: 1,3 => UNS
* DIS # D2: 6 # F7: 1,9 => CTR => F7: 5,6,8
* INC # D2: 6 + F7: 5,6,8 # H7: 1,9 => UNS
* INC # D2: 6 + F7: 5,6,8 # H7: 2,5,8 => UNS
* INC # D2: 6 + F7: 5,6,8 # E2: 1,9 => UNS
* INC # D2: 6 + F7: 5,6,8 # E2: 7 => UNS
* INC # D2: 6 + F7: 5,6,8 # H8: 1,3 => UNS
* INC # D2: 6 + F7: 5,6,8 # H8: 5,7,8 => UNS
* INC # D2: 6 + F7: 5,6,8 # E6: 1,3 => UNS
* INC # D2: 6 + F7: 5,6,8 # E6: 2,6 => UNS
* INC # D2: 6 + F7: 5,6,8 # D5: 1,3 => UNS
* INC # D2: 6 + F7: 5,6,8 # E6: 1,3 => UNS
* INC # D2: 6 + F7: 5,6,8 # H7: 1,9 => UNS
* INC # D2: 6 + F7: 5,6,8 # H7: 2,5,8 => UNS
* INC # D2: 6 + F7: 5,6,8 # E2: 1,9 => UNS
* INC # D2: 6 + F7: 5,6,8 # E2: 7 => UNS
* INC # D2: 6 + F7: 5,6,8 # H8: 1,3 => UNS
* INC # D2: 6 + F7: 5,6,8 # H8: 5,7,8 => UNS
* INC # D2: 6 + F7: 5,6,8 # E6: 1,3 => UNS
* INC # D2: 6 + F7: 5,6,8 # E6: 2,6 => UNS
* INC # D2: 6 + F7: 5,6,8 => UNS
* INC # D6: 6 # A5: 1,7 => UNS
* INC # D6: 6 # C5: 1,7 => UNS
* INC # D6: 6 # C3: 1,7 => UNS
* INC # D6: 6 # C3: 8 => UNS
* INC # D6: 6 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for E8,D9: 3..:

* INC # D9: 3 # F5: 1,9 => UNS
* INC # D9: 3 # F5: 2 => UNS
* INC # D9: 3 # D2: 1,9 => UNS
* INC # D9: 3 # D3: 1,9 => UNS
* DIS # D9: 3 # E6: 1,6 => CTR => E6: 2,3
* INC # D9: 3 + E6: 2,3 # C6: 1,6 => UNS
* DIS # D9: 3 + E6: 2,3 # C6: 7 => CTR => C6: 1,6
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 8,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 8,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E7: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # F7: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # F8: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E2: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E2: 7,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # F5: 1,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # F5: 2 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 1,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D3: 1,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # D2: 8,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E4: 2,3 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E4: 6,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # B6: 2,3 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # H6: 2,3 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E7: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # F7: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # F8: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E2: 1,6 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 # E2: 7,9 => UNS
* INC # D9: 3 + E6: 2,3 + C6: 1,6 => UNS
* INC # E8: 3 # F7: 8,9 => UNS
* INC # E8: 3 # F9: 8,9 => UNS
* DIS # E8: 3 # G9: 8,9 => CTR => G9: 2,3,7
* INC # E8: 3 + G9: 2,3,7 # H9: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # H9: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # H9: 2,3,5,7 => UNS
* INC # E8: 3 + G9: 2,3,7 # D2: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # D3: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # F7: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # F9: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # H9: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # H9: 2,3,5,7 => UNS
* INC # E8: 3 + G9: 2,3,7 # D2: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # D3: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # F7: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # F9: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # H9: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # H9: 2,3,5,7 => UNS
* INC # E8: 3 + G9: 2,3,7 # D2: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 # D3: 8,9 => UNS
* INC # E8: 3 + G9: 2,3,7 => UNS
* CNT  53 HDP CHAINS /  53 HYP OPENED

Full list of HDP chains traversed for A2,I2: 5..:

* INC # A2: 5 # F1: 8,9 => UNS
* INC # A2: 5 # D2: 8,9 => UNS
* INC # A2: 5 # F3: 8,9 => UNS
* INC # A2: 5 # H3: 8,9 => UNS
* INC # A2: 5 # H3: 2,3,7 => UNS
* INC # A2: 5 # D9: 8,9 => UNS
* INC # A2: 5 # D9: 3 => UNS
* INC # A2: 5 # G1: 7,9 => UNS
* INC # A2: 5 # G2: 7,9 => UNS
* INC # A2: 5 # H3: 7,9 => UNS
* INC # A2: 5 # I3: 7,9 => UNS
* INC # A2: 5 # B2: 7,9 => UNS
* INC # A2: 5 # E2: 7,9 => UNS
* INC # A2: 5 # I5: 7,9 => UNS
* INC # A2: 5 # I5: 2,3,4 => UNS
* PRF # A2: 5 # F7: 8,9 => SOL
* STA # A2: 5 + F7: 8,9
* CNT  16 HDP CHAINS /  17 HYP OPENED