Analysis of xx-ph-00021709-KZ1C-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. initial

Autosolve

position: 98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. 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: 0:00:22.049520

The following important HDP chains were detected:

* DIS # B7: 6,9 # E1: 1,4 => CTR => E1: 5
* DIS # B7: 6,9 + E1: 5 # E2: 1,4 => CTR => E2: 6,8
* DIS # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 8 => CTR => E8: 1,4
* DIS # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 8 => CTR => A7: 3,5
* PRF # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 1,2 => SOL
* STA # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 + I9: 1,2
* CNT   5 HDP CHAINS /  23 HYP OPENED

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

Details

Positions

98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. initial
98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. autosolve
983752641712964358564138927238495716145673289679281435391827564826549173457316892 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H7: 6,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,A5: 1.. / B4 = 1  =>  2 pairs (_) / A5 = 1  =>  2 pairs (_)
A3,A5: 1.. / A3 = 1  =>  2 pairs (_) / A5 = 1  =>  2 pairs (_)
C1,I1: 3.. / C1 = 3  =>  5 pairs (_) / I1 = 3  =>  2 pairs (_)
H1,G2: 4.. / H1 = 4  =>  3 pairs (_) / G2 = 4  =>  2 pairs (_)
A8,A9: 4.. / A8 = 4  =>  3 pairs (_) / A9 = 4  =>  2 pairs (_)
H1,H4: 4.. / H1 = 4  =>  3 pairs (_) / H4 = 4  =>  2 pairs (_)
G7,I9: 5.. / G7 = 5  =>  1 pairs (_) / I9 = 5  =>  3 pairs (_)
H7,I8: 6.. / H7 = 6  =>  0 pairs (_) / I8 = 6  =>  3 pairs (_)
F7,E9: 7.. / F7 = 7  =>  2 pairs (_) / E9 = 7  =>  2 pairs (_)
B7,F7: 7.. / B7 = 7  =>  2 pairs (_) / F7 = 7  =>  2 pairs (_)
I2,H3: 8.. / I2 = 8  =>  1 pairs (_) / H3 = 8  =>  2 pairs (_)
* DURATION: 0:00:06.352752  START: 14:02:21.510768  END: 14:02:27.863520 2020-12-07
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:21.919824  START: 14:02:29.488749  END: 14:02:51.408573 2020-12-07
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00021709-KZ1C-base-pr-002.dot
* REASONING
* DIS # B7: 6,9 # E1: 1,4 => CTR => E1: 5
* DIS # B7: 6,9 + E1: 5 # E2: 1,4 => CTR => E2: 6,8
* DIS # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 8 => CTR => E8: 1,4
* DIS # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 8 => CTR => A7: 3,5
* PRF # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 1,2 => SOL
* STA # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 + I9: 1,2
* CNT   5 HDP CHAINS /  23 HYP OPENED

Header Info

21709;KZ1C;GP;23;11.30;11.30;9.60

Solution

position: 983752641712964358564138927238495716145673289679281435391827564826549173457316892 solved
Solution

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

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # B7: 6,9 => UNS
* INC # B7: 3,5,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B7: 6,9 => UNS
* INC # B7: 3,5,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B7: 6,9 => UNS
* INC # B7: 3,5,7 => UNS
* INC # B7: 6,9 # B8: 6,9 => UNS
* INC # B7: 6,9 # B8: 2,3 => UNS
* INC # B7: 6,9 # F8: 3,8 => UNS
* INC # B7: 6,9 # F8: 4,9 => UNS
* INC # B7: 6,9 # A7: 3,8 => UNS
* INC # B7: 6,9 # A7: 5 => UNS
* INC # B7: 6,9 # D4: 3,8 => UNS
* INC # B7: 6,9 # D5: 3,8 => UNS
* INC # B7: 6,9 # E8: 1,4 => UNS
* INC # B7: 6,9 # D9: 1,4 => UNS
* DIS # B7: 6,9 # E1: 1,4 => CTR => E1: 5
* DIS # B7: 6,9 + E1: 5 # E2: 1,4 => CTR => E2: 6,8
* INC # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 1,4 => UNS
* DIS # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 8 => CTR => E8: 1,4
* INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # I9: 3,5 => UNS
* INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # I9: 1,2 => UNS
* INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 3,5 => UNS
* DIS # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 8 => CTR => A7: 3,5
* INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 3,5 => UNS
* PRF # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 1,2 => SOL
* STA # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 + I9: 1,2
* CNT  22 HDP CHAINS /  23 HYP OPENED