Analysis of xx-ph-01256028-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....5..........4..57..7....94.....3...2.....1...6.4...89....72....1.......3. initial

Autosolve

position: 98.76....57.........4..57..7....94.....3...2.....1...6.4...89....72....1.......3. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.161498

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: 0:00:00.000013

List of important HDP chains detected for D4,F5: 6..:

* DIS # F5: 6 # E4: 5,8 => CTR => E4: 2
* DIS # F5: 6 + E4: 2 # C4: 5,8 => CTR => C4: 1,3,6
* CNT   2 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for H4,G5: 1..:

* DIS # H4: 1 # G6: 5,8 => CTR => G6: 3
* CNT   1 HDP CHAINS /  32 HYP OPENED

List of important HDP chains detected for I4,G6: 3..:

* DIS # I4: 3 # G5: 5,8 => CTR => G5: 1
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for E4,F6: 2..:

* DIS # F6: 2 # D4: 5,8 => CTR => D4: 6
* DIS # F6: 2 + D4: 6 # C4: 5,8 => CTR => C4: 1,2,3
* DIS # F6: 2 + D4: 6 + C4: 1,2,3 # G9: 5,6 => CTR => G9: 2,8
* PRF # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 # C7: 1,2,3 => SOL
* STA # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 + C7: 1,2,3
* CNT   4 HDP CHAINS /  21 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..........4..57..7....94.....3...2.....1...6.4...89....72....1.......3. initial
98.76....57.........4..57..7....94.....3...2.....1...6.4...89....72....1.......3. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
I5: 7,9
H6: 7,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H4,G5: 1.. / H4 = 1  =>  4 pairs (_) / G5 = 1  =>  3 pairs (_)
E4,F6: 2.. / E4 = 2  =>  3 pairs (_) / F6 = 2  =>  2 pairs (_)
I4,G6: 3.. / I4 = 3  =>  3 pairs (_) / G6 = 3  =>  3 pairs (_)
A5,A6: 4.. / A5 = 4  =>  3 pairs (_) / A6 = 4  =>  4 pairs (_)
H8,I9: 4.. / H8 = 4  =>  4 pairs (_) / I9 = 4  =>  3 pairs (_)
D4,F5: 6.. / D4 = 6  =>  4 pairs (_) / F5 = 6  =>  4 pairs (_)
I5,H6: 7.. / I5 = 7  =>  3 pairs (_) / H6 = 7  =>  2 pairs (_)
F6,H6: 7.. / F6 = 7  =>  3 pairs (_) / H6 = 7  =>  2 pairs (_)
H6,H7: 7.. / H6 = 7  =>  2 pairs (_) / H7 = 7  =>  3 pairs (_)
I5,H6: 9.. / I5 = 9  =>  2 pairs (_) / H6 = 9  =>  3 pairs (_)
B8,E8: 9.. / B8 = 9  =>  2 pairs (_) / E8 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.192328  START: 19:25:08.281587  END: 19:25:15.473915 2020-10-04
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,F5: 6.. / D4 = 6 ==>  4 pairs (_) / F5 = 6 ==>  5 pairs (_)
H8,I9: 4.. / H8 = 4 ==>  4 pairs (_) / I9 = 4 ==>  3 pairs (_)
A5,A6: 4.. / A5 = 4 ==>  3 pairs (_) / A6 = 4 ==>  4 pairs (_)
H4,G5: 1.. / H4 = 1 ==>  5 pairs (_) / G5 = 1 ==>  3 pairs (_)
I4,G6: 3.. / I4 = 3 ==>  4 pairs (_) / G6 = 3 ==>  3 pairs (_)
I5,H6: 9.. / I5 = 9 ==>  2 pairs (_) / H6 = 9 ==>  3 pairs (_)
H6,H7: 7.. / H6 = 7 ==>  2 pairs (_) / H7 = 7 ==>  3 pairs (_)
F6,H6: 7.. / F6 = 7 ==>  3 pairs (_) / H6 = 7 ==>  2 pairs (_)
I5,H6: 7.. / I5 = 7 ==>  3 pairs (_) / H6 = 7 ==>  2 pairs (_)
E4,F6: 2.. / E4 = 2 ==>  3 pairs (_) / F6 = 2 ==>  0 pairs (*)
* DURATION: 0:01:52.465686  START: 19:25:16.136932  END: 19:27:08.602618 2020-10-04
* REASONING D4,F5: 6..
* DIS # F5: 6 # E4: 5,8 => CTR => E4: 2
* DIS # F5: 6 + E4: 2 # C4: 5,8 => CTR => C4: 1,3,6
* CNT   2 HDP CHAINS /  36 HYP OPENED
* REASONING H4,G5: 1..
* DIS # H4: 1 # G6: 5,8 => CTR => G6: 3
* CNT   1 HDP CHAINS /  32 HYP OPENED
* REASONING I4,G6: 3..
* DIS # I4: 3 # G5: 5,8 => CTR => G5: 1
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING E4,F6: 2..
* DIS # F6: 2 # D4: 5,8 => CTR => D4: 6
* DIS # F6: 2 + D4: 6 # C4: 5,8 => CTR => C4: 1,2,3
* DIS # F6: 2 + D4: 6 + C4: 1,2,3 # G9: 5,6 => CTR => G9: 2,8
* PRF # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 # C7: 1,2,3 => SOL
* STA # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 + C7: 1,2,3
* CNT   4 HDP CHAINS /  21 HYP OPENED
* DCP COUNT: (10)
* SOLUTION FOUND

Header Info

1256028;13_12;GP;22;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,F5: 6..:

* INC # D4: 6 # E5: 4,7 => UNS
* INC # D4: 6 # F6: 4,7 => UNS
* INC # D4: 6 # F9: 4,7 => UNS
* INC # D4: 6 # F9: 1,6 => UNS
* INC # D4: 6 # D9: 1,5 => UNS
* INC # D4: 6 # D9: 4,9 => UNS
* INC # D4: 6 # C7: 1,5 => UNS
* INC # D4: 6 # C7: 2,3,6 => UNS
* INC # D4: 6 => UNS
* DIS # F5: 6 # E4: 5,8 => CTR => E4: 2
* INC # F5: 6 + E4: 2 # E5: 5,8 => UNS
* INC # F5: 6 + E4: 2 # D6: 5,8 => UNS
* DIS # F5: 6 + E4: 2 # C4: 5,8 => CTR => C4: 1,3,6
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # H4: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # I4: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E5: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # D6: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # H4: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # I4: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E8: 3,4 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E8: 5,9 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # F1: 3,4 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # F2: 3,4 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E5: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # D6: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # H4: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # I4: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E5: 4,7 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E5: 5,8 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # F9: 4,7 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # F9: 1 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E8: 3,4 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # E8: 5,9 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # F1: 3,4 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 # F2: 3,4 => UNS
* INC # F5: 6 + E4: 2 + C4: 1,3,6 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for H8,I9: 4..:

* INC # H8: 4 # G1: 1,5 => UNS
* INC # H8: 4 # G1: 2,3 => UNS
* INC # H8: 4 # H4: 1,5 => UNS
* INC # H8: 4 # H4: 8 => UNS
* INC # H8: 4 # A8: 3,6 => UNS
* INC # H8: 4 # B8: 3,6 => UNS
* INC # H8: 4 => UNS
* INC # I9: 4 # E8: 3,5 => UNS
* INC # I9: 4 # E8: 4,9 => UNS
* INC # I9: 4 # C7: 3,5 => UNS
* INC # I9: 4 # C7: 1,2,6 => UNS
* INC # I9: 4 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A5,A6: 4..:

* INC # A6: 4 # D4: 5,8 => UNS
* INC # A6: 4 # E4: 5,8 => UNS
* INC # A6: 4 # E5: 5,8 => UNS
* INC # A6: 4 # C6: 5,8 => UNS
* INC # A6: 4 # G6: 5,8 => UNS
* INC # A6: 4 => UNS
* INC # A5: 4 # F9: 6,7 => UNS
* INC # A5: 4 # F9: 1,4 => UNS
* INC # A5: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for H4,G5: 1..:

* INC # H4: 1 # I1: 4,5 => UNS
* INC # H4: 1 # I1: 2,3 => UNS
* INC # H4: 1 # H8: 4,5 => UNS
* INC # H4: 1 # H8: 6,8 => UNS
* INC # H4: 1 # I4: 5,8 => UNS
* DIS # H4: 1 # G6: 5,8 => CTR => G6: 3
* INC # H4: 1 + G6: 3 # C5: 5,8 => UNS
* INC # H4: 1 + G6: 3 # E5: 5,8 => UNS
* INC # H4: 1 + G6: 3 # G8: 5,8 => UNS
* INC # H4: 1 + G6: 3 # G9: 5,8 => UNS
* INC # H4: 1 + G6: 3 # I1: 4,5 => UNS
* INC # H4: 1 + G6: 3 # I1: 2,3 => UNS
* INC # H4: 1 + G6: 3 # H8: 4,5 => UNS
* INC # H4: 1 + G6: 3 # H8: 6,8 => UNS
* INC # H4: 1 + G6: 3 # C4: 5,8 => UNS
* INC # H4: 1 + G6: 3 # D4: 5,8 => UNS
* INC # H4: 1 + G6: 3 # E4: 5,8 => UNS
* INC # H4: 1 + G6: 3 # I9: 5,8 => UNS
* INC # H4: 1 + G6: 3 # I9: 2,4,7 => UNS
* INC # H4: 1 + G6: 3 # C5: 5,8 => UNS
* INC # H4: 1 + G6: 3 # E5: 5,8 => UNS
* INC # H4: 1 + G6: 3 # G8: 5,8 => UNS
* INC # H4: 1 + G6: 3 # G9: 5,8 => UNS
* INC # H4: 1 + G6: 3 => UNS
* INC # G5: 1 # I4: 5,8 => UNS
* INC # G5: 1 # G6: 5,8 => UNS
* INC # G5: 1 # C4: 5,8 => UNS
* INC # G5: 1 # D4: 5,8 => UNS
* INC # G5: 1 # E4: 5,8 => UNS
* INC # G5: 1 # H8: 5,8 => UNS
* INC # G5: 1 # H8: 4,6 => UNS
* INC # G5: 1 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for I4,G6: 3..:

* INC # I4: 3 # H4: 5,8 => UNS
* DIS # I4: 3 # G5: 5,8 => CTR => G5: 1
* INC # I4: 3 + G5: 1 # C6: 5,8 => UNS
* INC # I4: 3 + G5: 1 # D6: 5,8 => UNS
* INC # I4: 3 + G5: 1 # G8: 5,8 => UNS
* INC # I4: 3 + G5: 1 # G9: 5,8 => UNS
* INC # I4: 3 + G5: 1 # C4: 5,8 => UNS
* INC # I4: 3 + G5: 1 # D4: 5,8 => UNS
* INC # I4: 3 + G5: 1 # E4: 5,8 => UNS
* INC # I4: 3 + G5: 1 # H8: 5,8 => UNS
* INC # I4: 3 + G5: 1 # H8: 4,6 => UNS
* INC # I4: 3 + G5: 1 # C6: 5,8 => UNS
* INC # I4: 3 + G5: 1 # D6: 5,8 => UNS
* INC # I4: 3 + G5: 1 # G8: 5,8 => UNS
* INC # I4: 3 + G5: 1 # G9: 5,8 => UNS
* INC # I4: 3 + G5: 1 => UNS
* INC # G6: 3 # H4: 5,8 => UNS
* INC # G6: 3 # G5: 5,8 => UNS
* INC # G6: 3 # C4: 5,8 => UNS
* INC # G6: 3 # D4: 5,8 => UNS
* INC # G6: 3 # E4: 5,8 => UNS
* INC # G6: 3 # I9: 5,8 => UNS
* INC # G6: 3 # I9: 2,4,7 => UNS
* INC # G6: 3 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for I5,H6: 9..:

* INC # H6: 9 # A5: 4,6 => UNS
* INC # H6: 9 # A5: 1,8 => UNS
* INC # H6: 9 # F8: 4,6 => UNS
* INC # H6: 9 # F9: 4,6 => UNS
* INC # H6: 9 # E8: 3,5 => UNS
* INC # H6: 9 # E8: 4,9 => UNS
* INC # H6: 9 # C7: 3,5 => UNS
* INC # H6: 9 # C7: 1,2,6 => UNS
* INC # H6: 9 # G9: 2,5 => UNS
* INC # H6: 9 # I9: 2,5 => UNS
* INC # H6: 9 # C7: 2,5 => UNS
* INC # H6: 9 # C7: 1,3,6 => UNS
* INC # H6: 9 # I1: 2,5 => UNS
* INC # H6: 9 # I1: 3,4 => UNS
* INC # H6: 9 => UNS
* INC # I5: 9 # A6: 2,4 => UNS
* INC # I5: 9 # A6: 3,8 => UNS
* INC # I5: 9 # F1: 2,4 => UNS
* INC # I5: 9 # F2: 2,4 => UNS
* INC # I5: 9 # G8: 5,6 => UNS
* INC # I5: 9 # H8: 5,6 => UNS
* INC # I5: 9 # G9: 5,6 => UNS
* INC # I5: 9 # C7: 5,6 => UNS
* INC # I5: 9 # D7: 5,6 => UNS
* INC # I5: 9 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for H6,H7: 7..:

* INC # H7: 7 # A5: 4,6 => UNS
* INC # H7: 7 # A5: 1,8 => UNS
* INC # H7: 7 # F8: 4,6 => UNS
* INC # H7: 7 # F9: 4,6 => UNS
* INC # H7: 7 # E8: 3,5 => UNS
* INC # H7: 7 # E8: 4,9 => UNS
* INC # H7: 7 # C7: 3,5 => UNS
* INC # H7: 7 # C7: 1,2,6 => UNS
* INC # H7: 7 # G9: 2,5 => UNS
* INC # H7: 7 # I9: 2,5 => UNS
* INC # H7: 7 # C7: 2,5 => UNS
* INC # H7: 7 # C7: 1,3,6 => UNS
* INC # H7: 7 # I1: 2,5 => UNS
* INC # H7: 7 # I1: 3,4 => UNS
* INC # H7: 7 => UNS
* INC # H6: 7 # A6: 2,4 => UNS
* INC # H6: 7 # A6: 3,8 => UNS
* INC # H6: 7 # F1: 2,4 => UNS
* INC # H6: 7 # F2: 2,4 => UNS
* INC # H6: 7 # G8: 5,6 => UNS
* INC # H6: 7 # H8: 5,6 => UNS
* INC # H6: 7 # G9: 5,6 => UNS
* INC # H6: 7 # C7: 5,6 => UNS
* INC # H6: 7 # D7: 5,6 => UNS
* INC # H6: 7 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for F6,H6: 7..:

* INC # F6: 7 # A5: 4,6 => UNS
* INC # F6: 7 # A5: 1,8 => UNS
* INC # F6: 7 # F8: 4,6 => UNS
* INC # F6: 7 # F9: 4,6 => UNS
* INC # F6: 7 # E8: 3,5 => UNS
* INC # F6: 7 # E8: 4,9 => UNS
* INC # F6: 7 # C7: 3,5 => UNS
* INC # F6: 7 # C7: 1,2,6 => UNS
* INC # F6: 7 # G9: 2,5 => UNS
* INC # F6: 7 # I9: 2,5 => UNS
* INC # F6: 7 # C7: 2,5 => UNS
* INC # F6: 7 # C7: 1,3,6 => UNS
* INC # F6: 7 # I1: 2,5 => UNS
* INC # F6: 7 # I1: 3,4 => UNS
* INC # F6: 7 => UNS
* INC # H6: 7 # A6: 2,4 => UNS
* INC # H6: 7 # A6: 3,8 => UNS
* INC # H6: 7 # F1: 2,4 => UNS
* INC # H6: 7 # F2: 2,4 => UNS
* INC # H6: 7 # G8: 5,6 => UNS
* INC # H6: 7 # H8: 5,6 => UNS
* INC # H6: 7 # G9: 5,6 => UNS
* INC # H6: 7 # C7: 5,6 => UNS
* INC # H6: 7 # D7: 5,6 => UNS
* INC # H6: 7 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for I5,H6: 7..:

* INC # I5: 7 # A5: 4,6 => UNS
* INC # I5: 7 # A5: 1,8 => UNS
* INC # I5: 7 # F8: 4,6 => UNS
* INC # I5: 7 # F9: 4,6 => UNS
* INC # I5: 7 # E8: 3,5 => UNS
* INC # I5: 7 # E8: 4,9 => UNS
* INC # I5: 7 # C7: 3,5 => UNS
* INC # I5: 7 # C7: 1,2,6 => UNS
* INC # I5: 7 # G9: 2,5 => UNS
* INC # I5: 7 # I9: 2,5 => UNS
* INC # I5: 7 # C7: 2,5 => UNS
* INC # I5: 7 # C7: 1,3,6 => UNS
* INC # I5: 7 # I1: 2,5 => UNS
* INC # I5: 7 # I1: 3,4 => UNS
* INC # I5: 7 => UNS
* INC # H6: 7 # A6: 2,4 => UNS
* INC # H6: 7 # A6: 3,8 => UNS
* INC # H6: 7 # F1: 2,4 => UNS
* INC # H6: 7 # F2: 2,4 => UNS
* INC # H6: 7 # G8: 5,6 => UNS
* INC # H6: 7 # H8: 5,6 => UNS
* INC # H6: 7 # G9: 5,6 => UNS
* INC # H6: 7 # C7: 5,6 => UNS
* INC # H6: 7 # D7: 5,6 => UNS
* INC # H6: 7 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for E4,F6: 2..:

* INC # E4: 2 # E5: 4,7 => UNS
* INC # E4: 2 # F5: 4,7 => UNS
* INC # E4: 2 # F9: 4,7 => UNS
* INC # E4: 2 # F9: 1,6 => UNS
* INC # E4: 2 => UNS
* DIS # F6: 2 # D4: 5,8 => CTR => D4: 6
* INC # F6: 2 + D4: 6 # E5: 5,8 => UNS
* INC # F6: 2 + D4: 6 # D6: 5,8 => UNS
* DIS # F6: 2 + D4: 6 # C4: 5,8 => CTR => C4: 1,2,3
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # H4: 5,8 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # I4: 5,8 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # E5: 5,8 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # D6: 5,8 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # H4: 5,8 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # I4: 5,8 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # G8: 5,6 => UNS
* INC # F6: 2 + D4: 6 + C4: 1,2,3 # H8: 5,6 => UNS
* DIS # F6: 2 + D4: 6 + C4: 1,2,3 # G9: 5,6 => CTR => G9: 2,8
* INC # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 # C7: 5,6 => UNS
* PRF # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 # C7: 1,2,3 => SOL
* STA # F6: 2 + D4: 6 + C4: 1,2,3 + G9: 2,8 + C7: 1,2,3
* CNT  20 HDP CHAINS /  21 HYP OPENED