Analysis of xx-ph-00061421-12_11-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.9..4......3..93....7..2..6....5...4...8..2...7...1.4.3........2.1... initial

Autosolve

position: 98.7..6....5.9..4.4....3..93....7..2..6....5...4...8..2...7...1.4.3........2.1... autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:16.016831

The following important HDP chains were detected:

* DIS # I9: 3,5 # I8: 7,8 => CTR => I8: 6
* DIS # I9: 3,5 + I8: 6 # H4: 1,9 => CTR => H4: 6
* DIS # I9: 3,5 + I8: 6 + H4: 6 # C4: 1,9 => CTR => C4: 8
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 # D4: 1,9 => CTR => D4: 4,5
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 # B4: 5 => CTR => B4: 1,9
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 # G9: 3,5 => CTR => G9: 4,7,9
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 # D3: 1,6 => CTR => D3: 5,8
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 + D3: 5,8 # E3: 1,6 => CTR => E3: 2,5,8
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 + D3: 5,8 + E3: 2,5,8 => CTR => I9: 4,6,7,8
* STA I9: 4,6,7,8
* CNT   9 HDP CHAINS /  24 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction Position

position: 98.7..6....5.9..4.4....3..93....7..2..6....5...4...8..2...7...1.4.3........2.1... deep_pair_reduction
Deep Pair Reduction

See section Deep Pair Reduction for the HDP chains leading to this result.

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000043

List of important HDP chains detected for I1,I8: 5..:

* DIS # I8: 5 # I9: 7,8 => CTR => I9: 4,6
* DIS # I8: 5 + I9: 4,6 # E9: 6,8 => CTR => E9: 4,5
* PRF # I8: 5 + I9: 4,6 + E9: 4,5 # E3: 6,8 => SOL
* STA # I8: 5 + I9: 4,6 + E9: 4,5 + E3: 6,8
* CNT   3 HDP CHAINS /  19 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....5.9..4......3..93....7..2..6....5...4...8..2...7...1.4.3........2.1... initial
98.7..6....5.9..4.4....3..93....7..2..6....5...4...8..2...7...1.4.3........2.1... autosolve
98.7..6....5.9..4.4....3..93....7..2..6....5...4...8..2...7...1.4.3........2.1... deep_pair_reduction

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I1: 3,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,C8: 1.. / A8 = 1  =>  4 pairs (_) / C8 = 1  =>  4 pairs (_)
C1,C3: 2.. / C1 = 2  =>  5 pairs (_) / C3 = 2  =>  2 pairs (_)
B5,B6: 2.. / B5 = 2  =>  1 pairs (_) / B6 = 2  =>  1 pairs (_)
G8,H8: 2.. / G8 = 2  =>  4 pairs (_) / H8 = 2  =>  2 pairs (_)
F2,G2: 2.. / F2 = 2  =>  4 pairs (_) / G2 = 2  =>  3 pairs (_)
C1,B2: 3.. / C1 = 3  =>  4 pairs (_) / B2 = 3  =>  3 pairs (_)
E5,E6: 3.. / E5 = 3  =>  2 pairs (_) / E6 = 3  =>  2 pairs (_)
E1,F1: 4.. / E1 = 4  =>  2 pairs (_) / F1 = 4  =>  1 pairs (_)
I5,I9: 4.. / I5 = 4  =>  2 pairs (_) / I9 = 4  =>  2 pairs (_)
I1,G3: 5.. / I1 = 5  =>  1 pairs (_) / G3 = 5  =>  7 pairs (_)
I2,H3: 8.. / I2 = 8  =>  3 pairs (_) / H3 = 8  =>  2 pairs (_)
C4,A5: 8.. / C4 = 8  =>  3 pairs (_) / A5 = 8  =>  2 pairs (_)
* DURATION: 0:00:08.081005  START: 15:12:03.734213  END: 15:12:11.815218 2020-12-21
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I1,I8: 5.. / I1 = 5  =>  0 pairs (X) / I8 = 5 ==>  0 pairs (*)
* DURATION: 0:00:21.783490  START: 15:12:32.948466  END: 15:12:54.731956 2020-12-21
* REASONING I1,I8: 5..
* DIS # I8: 5 # I9: 7,8 => CTR => I9: 4,6
* DIS # I8: 5 + I9: 4,6 # E9: 6,8 => CTR => E9: 4,5
* PRF # I8: 5 + I9: 4,6 + E9: 4,5 # E3: 6,8 => SOL
* STA # I8: 5 + I9: 4,6 + E9: 4,5 + E3: 6,8
* CNT   3 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

61421;12_11;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I9: 3,5 => UNS
* INC # I9: 4,6,7,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I9: 3,5 => UNS
* INC # I9: 4,6,7,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I9: 3,5 => UNS
* INC # I9: 4,6,7,8 => UNS
* INC # I9: 3,5 # H3: 7,8 => UNS
* INC # I9: 3,5 # H3: 1,2 => UNS
* DIS # I9: 3,5 # I8: 7,8 => CTR => I8: 6
* DIS # I9: 3,5 + I8: 6 # H4: 1,9 => CTR => H4: 6
* INC # I9: 3,5 + I8: 6 + H4: 6 # G5: 1,9 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 # H6: 1,9 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 # B4: 1,9 => UNS
* DIS # I9: 3,5 + I8: 6 + H4: 6 # C4: 1,9 => CTR => C4: 8
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 # D4: 1,9 => CTR => D4: 4,5
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 # B4: 1,9 => UNS
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 # B4: 5 => CTR => B4: 1,9
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 # G5: 1,9 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 # H6: 1,9 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 # G7: 3,5 => UNS
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 # G9: 3,5 => CTR => G9: 4,7,9
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 # G7: 3,5 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 # G7: 4,9 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 # B9: 3,5 => UNS
* INC # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 # B9: 6,7 => UNS
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 # D3: 1,6 => CTR => D3: 5,8
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 + D3: 5,8 # E3: 1,6 => CTR => E3: 2,5,8
* DIS # I9: 3,5 + I8: 6 + H4: 6 + C4: 8 + D4: 4,5 + B4: 1,9 + G9: 4,7,9 + D3: 5,8 + E3: 2,5,8 => CTR => I9: 4,6,7,8
* STA I9: 4,6,7,8
* CNT  24 HDP CHAINS /  24 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I1,I8: 5..:

* INC # I8: 5 # C3: 1,2 => UNS
* INC # I8: 5 # C3: 7 => UNS
* INC # I8: 5 # E4: 4,5 => UNS
* INC # I8: 5 # E9: 4,5 => UNS
* INC # I8: 5 # F7: 4,5 => UNS
* INC # I8: 5 # F7: 6,8,9 => UNS
* INC # I8: 5 # G2: 1,2 => UNS
* INC # I8: 5 # H3: 1,2 => UNS
* INC # I8: 5 # H3: 7,8 => UNS
* INC # I8: 5 # H3: 1,2 => UNS
* DIS # I8: 5 # I9: 7,8 => CTR => I9: 4,6
* INC # I8: 5 + I9: 4,6 # D7: 6,8 => UNS
* INC # I8: 5 + I9: 4,6 # F7: 6,8 => UNS
* INC # I8: 5 + I9: 4,6 # F8: 6,8 => UNS
* DIS # I8: 5 + I9: 4,6 # E9: 6,8 => CTR => E9: 4,5
* INC # I8: 5 + I9: 4,6 + E9: 4,5 # A8: 6,8 => UNS
* INC # I8: 5 + I9: 4,6 + E9: 4,5 # H8: 6,8 => UNS
* PRF # I8: 5 + I9: 4,6 + E9: 4,5 # E3: 6,8 => SOL
* STA # I8: 5 + I9: 4,6 + E9: 4,5 + E3: 6,8
* CNT  18 HDP CHAINS /  19 HYP OPENED