Analysis of xx-ph-02318648-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..5..9....4.8....5..6..3...2...........9..1.3....6....9...76.....9...53 initial

Autosolve

position: 98.76.5..7..5..9...54.89...5..6..3...2...........9..1.3....6....9...76.....9...53 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for C8,E8: 5..:

* DIS # E8: 5 # A3: 1,2 => CTR => A3: 6
* DIS # E8: 5 + A3: 6 # I3: 1,2 => CTR => I3: 7
* PRF # E8: 5 + A3: 6 + I3: 7 # H7: 2,4 => SOL
* STA # E8: 5 + A3: 6 + I3: 7 + H7: 2,4
* CNT   3 HDP CHAINS /  18 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

98.76.5..7..5..9....4.8....5..6..3...2...........9..1.3....6....9...76.....9...53 initial
98.76.5..7..5..9...54.89...5..6..3...2...........9..1.3....6....9...76.....9...53 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,E8: 3.. / D8 = 3  =>  2 pairs (_) / E8 = 3  =>  0 pairs (_)
D3,H3: 3.. / D3 = 3  =>  2 pairs (_) / H3 = 3  =>  2 pairs (_)
B2,B6: 3.. / B2 = 3  =>  1 pairs (_) / B6 = 3  =>  1 pairs (_)
F5,F6: 5.. / F5 = 5  =>  0 pairs (_) / F6 = 5  =>  0 pairs (_)
I5,I6: 5.. / I5 = 5  =>  0 pairs (_) / I6 = 5  =>  0 pairs (_)
C7,C8: 5.. / C7 = 5  =>  2 pairs (_) / C8 = 5  =>  0 pairs (_)
E7,E8: 5.. / E7 = 5  =>  0 pairs (_) / E8 = 5  =>  2 pairs (_)
F5,I5: 5.. / F5 = 5  =>  0 pairs (_) / I5 = 5  =>  0 pairs (_)
F6,I6: 5.. / F6 = 5  =>  0 pairs (_) / I6 = 5  =>  0 pairs (_)
C7,E7: 5.. / C7 = 5  =>  2 pairs (_) / E7 = 5  =>  0 pairs (_)
C8,E8: 5.. / C8 = 5  =>  0 pairs (_) / E8 = 5  =>  2 pairs (_)
E4,E5: 7.. / E4 = 7  =>  1 pairs (_) / E5 = 7  =>  1 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  0 pairs (_)
C4,C5: 9.. / C4 = 9  =>  2 pairs (_) / C5 = 9  =>  0 pairs (_)
H7,I7: 9.. / H7 = 9  =>  0 pairs (_) / I7 = 9  =>  0 pairs (_)
* DURATION: 0:00:13.229375  START: 12:24:37.439281  END: 12:24:50.668656 2020-11-09
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,H3: 3.. / D3 = 3 ==>  2 pairs (_) / H3 = 3 ==>  2 pairs (_)
C4,C5: 9.. / C4 = 9 ==>  2 pairs (_) / C5 = 9 ==>  0 pairs (_)
C8,E8: 5.. / C8 = 5  =>  0 pairs (X) / E8 = 5 ==>  0 pairs (*)
* DURATION: 0:00:45.986238  START: 12:24:50.669599  END: 12:25:36.655837 2020-11-09
* REASONING C8,E8: 5..
* DIS # E8: 5 # A3: 1,2 => CTR => A3: 6
* DIS # E8: 5 + A3: 6 # I3: 1,2 => CTR => I3: 7
* PRF # E8: 5 + A3: 6 + I3: 7 # H7: 2,4 => SOL
* STA # E8: 5 + A3: 6 + I3: 7 + H7: 2,4
* CNT   3 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2318648;2019_03_16;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,H3: 3..:

* INC # D3: 3 => UNS
* INC # H3: 3 # F1: 1,2 => UNS
* INC # H3: 3 # E2: 1,2 => UNS
* INC # H3: 3 # F2: 1,2 => UNS
* INC # H3: 3 # A3: 1,2 => UNS
* INC # H3: 3 # G3: 1,2 => UNS
* INC # H3: 3 # I3: 1,2 => UNS
* INC # H3: 3 # D7: 1,2 => UNS
* INC # H3: 3 # D8: 1,2 => UNS
* INC # H3: 3 # I1: 2,4 => UNS
* INC # H3: 3 # H2: 2,4 => UNS
* INC # H3: 3 # I2: 2,4 => UNS
* INC # H3: 3 # F1: 2,4 => UNS
* INC # H3: 3 # F1: 1,3 => UNS
* INC # H3: 3 # H4: 2,4 => UNS
* INC # H3: 3 # H7: 2,4 => UNS
* INC # H3: 3 # H8: 2,4 => UNS
* INC # H3: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C4,C5: 9..:

* INC # C4: 9 # I5: 6,9 => UNS
* INC # C4: 9 # I5: 5 => UNS
* INC # C4: 9 # I5: 5,6 => UNS
* INC # C4: 9 # I5: 9 => UNS
* INC # C4: 9 => UNS
* INC # C5: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for C8,E8: 5..:

* INC # E8: 5 # F1: 1,2 => UNS
* INC # E8: 5 # E2: 1,2 => UNS
* INC # E8: 5 # F2: 1,2 => UNS
* DIS # E8: 5 # A3: 1,2 => CTR => A3: 6
* INC # E8: 5 + A3: 6 # G3: 1,2 => UNS
* DIS # E8: 5 + A3: 6 # I3: 1,2 => CTR => I3: 7
* INC # E8: 5 + A3: 6 + I3: 7 # D7: 1,2 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # D7: 4,8 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # F1: 1,2 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # E2: 1,2 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # F2: 1,2 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # D7: 1,2 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # D7: 4,8 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # I1: 2,4 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # I1: 1 => UNS
* INC # E8: 5 + A3: 6 + I3: 7 # H4: 2,4 => UNS
* PRF # E8: 5 + A3: 6 + I3: 7 # H7: 2,4 => SOL
* STA # E8: 5 + A3: 6 + I3: 7 + H7: 2,4
* CNT  17 HDP CHAINS /  18 HYP OPENED