Analysis of xx-ph-00027201-KC40b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. initial

Autosolve

position: 98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

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 D3,D9: 8..:

* DIS # D3: 8 # H1: 4,5 => CTR => H1: 3
* DIS # D3: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2
* DIS # D3: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => D3: 1,2,5
* STA D3: 1,2,5
* CNT   6 HDP CHAINS /   8 HYP OPENED

List of important HDP chains detected for F8,D9: 8..:

* DIS # F8: 8 # H1: 4,5 => CTR => H1: 3
* DIS # F8: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2
* DIS # F8: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => F8: 2,3,7,9
* STA F8: 2,3,7,9
* CNT   6 HDP CHAINS /   8 HYP OPENED

List of important HDP chains detected for H7,I9: 6..:

* DIS # I9: 6 # H5: 4,5 => CTR => H5: 6,7,8
* PRF # I9: 6 + H5: 6,7,8 # I1: 3,5 => SOL
* STA # I9: 6 + H5: 6,7,8 + I1: 3,5
* CNT   2 HDP CHAINS /   9 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..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. initial
98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 2.. / I1 = 2  =>  4 pairs (_) / I2 = 2  =>  1 pairs (_)
E8,E9: 4.. / E8 = 4  =>  1 pairs (_) / E9 = 4  =>  2 pairs (_)
C8,C9: 5.. / C8 = 5  =>  0 pairs (_) / C9 = 5  =>  0 pairs (_)
H7,I9: 6.. / H7 = 6  =>  0 pairs (_) / I9 = 6  =>  4 pairs (_)
E9,G9: 7.. / E9 = 7  =>  1 pairs (_) / G9 = 7  =>  2 pairs (_)
H5,G6: 8.. / H5 = 8  =>  1 pairs (_) / G6 = 8  =>  2 pairs (_)
F8,D9: 8.. / F8 = 8  =>  8 pairs (_) / D9 = 8  =>  0 pairs (_)
F2,G2: 8.. / F2 = 8  =>  1 pairs (_) / G2 = 8  =>  1 pairs (_)
D3,D9: 8.. / D3 = 8  =>  8 pairs (_) / D9 = 8  =>  0 pairs (_)
H3,H5: 8.. / H3 = 8  =>  2 pairs (_) / H5 = 8  =>  1 pairs (_)
* DURATION: 0:00:06.034069  START: 09:43:36.182893  END: 09:43:42.216962 2020-12-09
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,D9: 8.. / D3 = 8 ==>  0 pairs (X) / D9 = 8  =>  0 pairs (_)
F8,D9: 8.. / F8 = 8 ==>  0 pairs (X) / D9 = 8  =>  0 pairs (_)
I1,I2: 2.. / I1 = 2 ==>  4 pairs (_) / I2 = 2 ==>  1 pairs (_)
H7,I9: 6.. / H7 = 6  =>  0 pairs (X) / I9 = 6 ==>  0 pairs (*)
* DURATION: 0:00:32.474839  START: 09:43:42.217539  END: 09:44:14.692378 2020-12-09
* REASONING D3,D9: 8..
* DIS # D3: 8 # H1: 4,5 => CTR => H1: 3
* DIS # D3: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2
* DIS # D3: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => D3: 1,2,5
* STA D3: 1,2,5
* CNT   6 HDP CHAINS /   8 HYP OPENED
* REASONING F8,D9: 8..
* DIS # F8: 8 # H1: 4,5 => CTR => H1: 3
* DIS # F8: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2
* DIS # F8: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => F8: 2,3,7,9
* STA F8: 2,3,7,9
* CNT   6 HDP CHAINS /   8 HYP OPENED
* REASONING H7,I9: 6..
* DIS # I9: 6 # H5: 4,5 => CTR => H5: 6,7,8
* PRF # I9: 6 + H5: 6,7,8 # I1: 3,5 => SOL
* STA # I9: 6 + H5: 6,7,8 + I1: 3,5
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

27201;KC40b;GP;24;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D9: 8..:

* DIS # D3: 8 # H1: 4,5 => CTR => H1: 3
* DIS # D3: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2
* DIS # D3: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7
* INC # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 1,4 => UNS
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1
* DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => D3: 1,2,5
* INC D3: 1,2,5 # D9: 8 => UNS
* STA D3: 1,2,5
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for F8,D9: 8..:

* DIS # F8: 8 # H1: 4,5 => CTR => H1: 3
* DIS # F8: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2
* DIS # F8: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7
* INC # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 1,4 => UNS
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1
* DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => F8: 2,3,7,9
* INC F8: 2,3,7,9 # D9: 8 => UNS
* STA F8: 2,3,7,9
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for I1,I2: 2..:

* INC # I1: 2 # A3: 1,4 => UNS
* INC # I1: 2 # B3: 1,4 => UNS
* INC # I1: 2 # C4: 1,4 => UNS
* INC # I1: 2 # C5: 1,4 => UNS
* INC # I1: 2 # C7: 1,4 => UNS
* INC # I1: 2 # C8: 1,4 => UNS
* INC # I1: 2 # E2: 1,3 => UNS
* INC # I1: 2 # E2: 2,6 => UNS
* INC # I1: 2 # H1: 3,5 => UNS
* INC # I1: 2 # H1: 4 => UNS
* INC # I1: 2 # G2: 1,3 => UNS
* INC # I1: 2 # G2: 8 => UNS
* INC # I1: 2 # E2: 1,3 => UNS
* INC # I1: 2 # E2: 2,6 => UNS
* INC # I1: 2 # I8: 1,3 => UNS
* INC # I1: 2 # I8: 4,5 => UNS
* INC # I1: 2 => UNS
* INC # I2: 2 # A3: 1,6 => UNS
* INC # I2: 2 # B3: 1,6 => UNS
* INC # I2: 2 # E2: 1,6 => UNS
* INC # I2: 2 # E2: 3 => UNS
* INC # I2: 2 # C4: 1,6 => UNS
* INC # I2: 2 # C5: 1,6 => UNS
* INC # I2: 2 # C7: 1,6 => UNS
* INC # I2: 2 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for H7,I9: 6..:

* DIS # I9: 6 # H5: 4,5 => CTR => H5: 6,7,8
* INC # I9: 6 + H5: 6,7,8 # I1: 4,5 => UNS
* INC # I9: 6 + H5: 6,7,8 # I8: 4,5 => UNS
* INC # I9: 6 + H5: 6,7,8 # G6: 3,5 => UNS
* INC # I9: 6 + H5: 6,7,8 # G6: 7,8 => UNS
* INC # I9: 6 + H5: 6,7,8 # D6: 3,5 => UNS
* INC # I9: 6 + H5: 6,7,8 # D6: 2,9 => UNS
* PRF # I9: 6 + H5: 6,7,8 # I1: 3,5 => SOL
* STA # I9: 6 + H5: 6,7,8 + I1: 3,5
* CNT   8 HDP CHAINS /   9 HYP OPENED