Analysis of xx-ph-01055233-13_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75..4..8...3......8..9..4......3..2......2..51.......9.6.1...4...8..71.. initial

Autosolve

position: 98.7..6..75..4..8...3......8..9..4......3..2......2..51.......9.6.1...4...8..71.. 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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for F5,F7: 4..:

* DIS # F5: 4 # D7: 6,8 => CTR => D7: 2,3,4,5
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for F2,G2: 9..:

* DIS # G2: 9 # G7: 7,8 => CTR => G7: 2,3,5
* DIS # G2: 9 + G7: 2,3,5 # G8: 7,8 => CTR => G8: 2,3,5
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 # G6: 3 => CTR => G6: 7,8
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 # C2: 1,2 => CTR => C2: 6
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 + C2: 6 # B3: 1,2 => CTR => B3: 4
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 + C2: 6 + B3: 4 => CTR => G2: 2,3
* STA G2: 2,3
* CNT   6 HDP CHAINS /  16 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..8...3......8..9..4......3..2......2..51.......9.6.1...4...8..71.. initial
98.7..6..75..4..8...3......8..9..4......3..2......2..51.......9.6.1...4...8..71.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,C4: 2.. / B4 = 2  =>  1 pairs (_) / C4 = 2  =>  2 pairs (_)
I1,I3: 4.. / I1 = 4  =>  1 pairs (_) / I3 = 4  =>  2 pairs (_)
C1,I1: 4.. / C1 = 4  =>  2 pairs (_) / I1 = 4  =>  1 pairs (_)
F5,F7: 4.. / F5 = 4  =>  2 pairs (_) / F7 = 4  =>  0 pairs (_)
C2,A3: 6.. / C2 = 6  =>  2 pairs (_) / A3 = 6  =>  3 pairs (_)
E4,E6: 7.. / E4 = 7  =>  0 pairs (_) / E6 = 7  =>  0 pairs (_)
I5,I8: 8.. / I5 = 8  =>  1 pairs (_) / I8 = 8  =>  0 pairs (_)
C8,B9: 9.. / C8 = 9  =>  0 pairs (_) / B9 = 9  =>  0 pairs (_)
F2,G2: 9.. / F2 = 9  =>  1 pairs (_) / G2 = 9  =>  1 pairs (_)
B9,E9: 9.. / B9 = 9  =>  0 pairs (_) / E9 = 9  =>  0 pairs (_)
H3,H6: 9.. / H3 = 9  =>  1 pairs (_) / H6 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.236965  START: 11:00:12.273338  END: 11:00:19.510303 2021-01-12
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C2,A3: 6.. / C2 = 6 ==>  2 pairs (_) / A3 = 6 ==>  3 pairs (_)
C1,I1: 4.. / C1 = 4 ==>  2 pairs (_) / I1 = 4 ==>  1 pairs (_)
I1,I3: 4.. / I1 = 4 ==>  1 pairs (_) / I3 = 4 ==>  2 pairs (_)
B4,C4: 2.. / B4 = 2 ==>  1 pairs (_) / C4 = 2 ==>  2 pairs (_)
F5,F7: 4.. / F5 = 4 ==>  2 pairs (_) / F7 = 4 ==>  0 pairs (_)
H3,H6: 9.. / H3 = 9 ==>  1 pairs (_) / H6 = 9 ==>  1 pairs (_)
F2,G2: 9.. / F2 = 9 ==>  1 pairs (_) / G2 = 9 ==>  0 pairs (X)
I5,I8: 8.. / I5 = 8 ==>  1 pairs (_) / I8 = 8 ==>  0 pairs (_)
B9,E9: 9.. / B9 = 9 ==>  0 pairs (_) / E9 = 9 ==>  0 pairs (_)
C8,B9: 9.. / C8 = 9 ==>  0 pairs (_) / B9 = 9 ==>  0 pairs (_)
E4,E6: 7.. / E4 = 7 ==>  0 pairs (_) / E6 = 7 ==>  0 pairs (_)
* DURATION: 0:01:12.811063  START: 11:00:19.510936  END: 11:01:32.321999 2021-01-12
* REASONING F5,F7: 4..
* DIS # F5: 4 # D7: 6,8 => CTR => D7: 2,3,4,5
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING F2,G2: 9..
* DIS # G2: 9 # G7: 7,8 => CTR => G7: 2,3,5
* DIS # G2: 9 + G7: 2,3,5 # G8: 7,8 => CTR => G8: 2,3,5
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 # G6: 3 => CTR => G6: 7,8
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 # C2: 1,2 => CTR => C2: 6
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 + C2: 6 # B3: 1,2 => CTR => B3: 4
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 + C2: 6 + B3: 4 => CTR => G2: 2,3
* STA G2: 2,3
* CNT   6 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (11)
* CLUE FOUND

Header Info

1055233;13_07;GP;24;11.30;11.30;9.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,A3: 6..:

* INC # A3: 6 # C1: 1,2 => UNS
* INC # A3: 6 # B3: 1,2 => UNS
* INC # A3: 6 # I2: 1,2 => UNS
* INC # A3: 6 # I2: 3 => UNS
* INC # A3: 6 # C4: 1,2 => UNS
* INC # A3: 6 # C4: 5,6,7 => UNS
* INC # A3: 6 # C5: 4,5 => UNS
* INC # A3: 6 # C5: 1,6,7,9 => UNS
* INC # A3: 6 # D5: 4,5 => UNS
* INC # A3: 6 # F5: 4,5 => UNS
* INC # A3: 6 # A9: 4,5 => UNS
* INC # A3: 6 # A9: 2,3 => UNS
* INC # A3: 6 # B6: 3,4 => UNS
* INC # A3: 6 # B6: 1,7,9 => UNS
* INC # A3: 6 # A9: 3,4 => UNS
* INC # A3: 6 # A9: 2,5 => UNS
* INC # A3: 6 => UNS
* INC # C2: 6 # C1: 2,4 => UNS
* INC # C2: 6 # B3: 2,4 => UNS
* INC # C2: 6 # I3: 2,4 => UNS
* INC # C2: 6 # I3: 1,7 => UNS
* INC # C2: 6 # A9: 2,4 => UNS
* INC # C2: 6 # A9: 3,5 => UNS
* INC # C2: 6 # G2: 2,3 => UNS
* INC # C2: 6 # I2: 2,3 => UNS
* INC # C2: 6 # D7: 2,3 => UNS
* INC # C2: 6 # D9: 2,3 => UNS
* INC # C2: 6 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for C1,I1: 4..:

* INC # C1: 4 # C2: 2,6 => UNS
* INC # C1: 4 # C2: 1 => UNS
* INC # C1: 4 # D3: 2,6 => UNS
* INC # C1: 4 # E3: 2,6 => UNS
* INC # C1: 4 # C2: 1,2 => UNS
* INC # C1: 4 # C2: 6 => UNS
* INC # C1: 4 # E3: 1,2 => UNS
* INC # C1: 4 # E3: 5,6,8,9 => UNS
* INC # C1: 4 # B4: 1,2 => UNS
* INC # C1: 4 # B4: 3,7 => UNS
* INC # C1: 4 => UNS
* INC # I1: 4 # C2: 1,2 => UNS
* INC # I1: 4 # B3: 1,2 => UNS
* INC # I1: 4 # E1: 1,2 => UNS
* INC # I1: 4 # E1: 5 => UNS
* INC # I1: 4 # C4: 1,2 => UNS
* INC # I1: 4 # C4: 5,6,7 => UNS
* INC # I1: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for I1,I3: 4..:

* INC # I3: 4 # C2: 2,6 => UNS
* INC # I3: 4 # C2: 1 => UNS
* INC # I3: 4 # D3: 2,6 => UNS
* INC # I3: 4 # E3: 2,6 => UNS
* INC # I3: 4 # C2: 1,2 => UNS
* INC # I3: 4 # C2: 6 => UNS
* INC # I3: 4 # E3: 1,2 => UNS
* INC # I3: 4 # E3: 5,6,8,9 => UNS
* INC # I3: 4 # B4: 1,2 => UNS
* INC # I3: 4 # B4: 3,7 => UNS
* INC # I3: 4 => UNS
* INC # I1: 4 # C2: 1,2 => UNS
* INC # I1: 4 # B3: 1,2 => UNS
* INC # I1: 4 # E1: 1,2 => UNS
* INC # I1: 4 # E1: 5 => UNS
* INC # I1: 4 # C4: 1,2 => UNS
* INC # I1: 4 # C4: 5,6,7 => UNS
* INC # I1: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B4,C4: 2..:

* INC # C4: 2 # B3: 1,4 => UNS
* INC # C4: 2 # B3: 2 => UNS
* INC # C4: 2 # I1: 1,4 => UNS
* INC # C4: 2 # I1: 2,3 => UNS
* INC # C4: 2 # C5: 1,4 => UNS
* INC # C4: 2 # C6: 1,4 => UNS
* INC # C4: 2 # F2: 1,6 => UNS
* INC # C4: 2 # F2: 3,9 => UNS
* INC # C4: 2 # C5: 1,6 => UNS
* INC # C4: 2 # C6: 1,6 => UNS
* INC # C4: 2 => UNS
* INC # B4: 2 # C1: 1,4 => UNS
* INC # B4: 2 # C1: 2 => UNS
* INC # B4: 2 # I3: 1,4 => UNS
* INC # B4: 2 # I3: 2,7 => UNS
* INC # B4: 2 # B5: 1,4 => UNS
* INC # B4: 2 # B6: 1,4 => UNS
* INC # B4: 2 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F5,F7: 4..:

* INC # F5: 4 # C4: 5,6 => UNS
* INC # F5: 4 # C5: 5,6 => UNS
* INC # F5: 4 # D5: 5,6 => UNS
* INC # F5: 4 # D5: 8 => UNS
* INC # F5: 4 # D5: 6,8 => UNS
* INC # F5: 4 # E6: 6,8 => UNS
* INC # F5: 4 # D3: 6,8 => UNS
* DIS # F5: 4 # D7: 6,8 => CTR => D7: 2,3,4,5
* INC # F5: 4 + D7: 2,3,4,5 # D3: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D3: 2,5 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D5: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # E6: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D3: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D3: 2,5 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # C4: 5,6 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # C5: 5,6 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D5: 5,6 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D5: 8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D5: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # E6: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D3: 6,8 => UNS
* INC # F5: 4 + D7: 2,3,4,5 # D3: 2,5 => UNS
* INC # F5: 4 + D7: 2,3,4,5 => UNS
* INC # F7: 4 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for H3,H6: 9..:

* INC # H3: 9 # I1: 2,3 => UNS
* INC # H3: 9 # I2: 2,3 => UNS
* INC # H3: 9 # D2: 2,3 => UNS
* INC # H3: 9 # D2: 6 => UNS
* INC # H3: 9 # G7: 2,3 => UNS
* INC # H3: 9 # G8: 2,3 => UNS
* INC # H3: 9 => UNS
* INC # H6: 9 # I5: 7,8 => UNS
* INC # H6: 9 # G6: 7,8 => UNS
* INC # H6: 9 # G7: 7,8 => UNS
* INC # H6: 9 # G8: 7,8 => UNS
* INC # H6: 9 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for F2,G2: 9..:

* INC # F2: 9 # I1: 2,3 => UNS
* INC # F2: 9 # I2: 2,3 => UNS
* INC # F2: 9 # D2: 2,3 => UNS
* INC # F2: 9 # D2: 6 => UNS
* INC # F2: 9 # G7: 2,3 => UNS
* INC # F2: 9 # G8: 2,3 => UNS
* INC # F2: 9 => UNS
* INC # G2: 9 # I5: 7,8 => UNS
* INC # G2: 9 # G6: 7,8 => UNS
* DIS # G2: 9 # G7: 7,8 => CTR => G7: 2,3,5
* DIS # G2: 9 + G7: 2,3,5 # G8: 7,8 => CTR => G8: 2,3,5
* INC # G2: 9 + G7: 2,3,5 + G8: 2,3,5 # G6: 7,8 => UNS
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 # G6: 3 => CTR => G6: 7,8
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 # C2: 1,2 => CTR => C2: 6
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 + C2: 6 # B3: 1,2 => CTR => B3: 4
* DIS # G2: 9 + G7: 2,3,5 + G8: 2,3,5 + G6: 7,8 + C2: 6 + B3: 4 => CTR => G2: 2,3
* STA G2: 2,3
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for I5,I8: 8..:

* INC # I5: 8 # G6: 7,9 => UNS
* INC # I5: 8 # H6: 7,9 => UNS
* INC # I5: 8 # B5: 7,9 => UNS
* INC # I5: 8 # C5: 7,9 => UNS
* INC # I5: 8 # G3: 7,9 => UNS
* INC # I5: 8 # G3: 2,5 => UNS
* INC # I5: 8 => UNS
* INC # I8: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for B9,E9: 9..:

* INC # B9: 9 => UNS
* INC # E9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C8,B9: 9..:

* INC # C8: 9 => UNS
* INC # B9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E4,E6: 7..:

* INC # E4: 7 => UNS
* INC # E6: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED