Analysis of xx-ph-00017957-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....5..........7..58..8....69....4.3..6....2....1.7...94.....6...2.....1...3 initial

Autosolve

position: 98.76....5..........7..58..8....69....4.3..6....2....1.7...94.....6...2.....1...3 autosolve
Autosolve

Pair Reduction Variants

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 A5,A6: 7..:

* DIS # A5: 7 # D5: 1,8 => CTR => D5: 5,9
* CNT   1 HDP CHAINS /  49 HYP OPENED

List of important HDP chains detected for E7,F9: 2..:

* DIS # F9: 2 # D7: 5,8 => CTR => D7: 3
* DIS # F9: 2 + D7: 3 # E8: 5,8 => CTR => E8: 4,7
* DIS # F9: 2 + D7: 3 + E8: 4,7 # D9: 4 => CTR => D9: 5,8
* DIS # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 # C7: 5,8 => CTR => C7: 1,2,6
* DIS # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 + C7: 1,2,6 # H7: 5,8 => CTR => H7: 1
* PRF # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 + C7: 1,2,6 + H7: 1 => SOL
* STA F9: 2
* CNT   6 HDP CHAINS /  12 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..........7..58..8....69....4.3..6....2....1.7...94.....6...2.....1...3 initial
98.76....5..........7..58..8....69....4.3..6....2....1.7...94.....6...2.....1...3 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  1 pairs (_) / G8 = 1  =>  2 pairs (_)
E7,F9: 2.. / E7 = 2  =>  1 pairs (_) / F9 = 2  =>  3 pairs (_)
D7,F8: 3.. / D7 = 3  =>  0 pairs (_) / F8 = 3  =>  2 pairs (_)
I7,G9: 6.. / I7 = 6  =>  1 pairs (_) / G9 = 6  =>  2 pairs (_)
G2,G9: 6.. / G2 = 6  =>  1 pairs (_) / G9 = 6  =>  2 pairs (_)
A5,A6: 7.. / A5 = 7  =>  3 pairs (_) / A6 = 7  =>  3 pairs (_)
I5,H6: 8.. / I5 = 8  =>  2 pairs (_) / H6 = 8  =>  4 pairs (_)
D5,E6: 9.. / D5 = 9  =>  0 pairs (_) / E6 = 9  =>  3 pairs (_)
I8,H9: 9.. / I8 = 9  =>  0 pairs (_) / H9 = 9  =>  0 pairs (_)
B5,D5: 9.. / B5 = 9  =>  3 pairs (_) / D5 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.055821  START: 14:57:57.083976  END: 14:58:03.139797 2020-12-05
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I5,H6: 8.. / I5 = 8 ==>  2 pairs (_) / H6 = 8 ==>  4 pairs (_)
A5,A6: 7.. / A5 = 7 ==>  4 pairs (_) / A6 = 7 ==>  3 pairs (_)
E7,F9: 2.. / E7 = 2  =>  0 pairs (X) / F9 = 2 ==>  0 pairs (*)
* DURATION: 0:00:44.551662  START: 14:58:03.140440  END: 14:58:47.692102 2020-12-05
* REASONING A5,A6: 7..
* DIS # A5: 7 # D5: 1,8 => CTR => D5: 5,9
* CNT   1 HDP CHAINS /  49 HYP OPENED
* REASONING E7,F9: 2..
* DIS # F9: 2 # D7: 5,8 => CTR => D7: 3
* DIS # F9: 2 + D7: 3 # E8: 5,8 => CTR => E8: 4,7
* DIS # F9: 2 + D7: 3 + E8: 4,7 # D9: 4 => CTR => D9: 5,8
* DIS # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 # C7: 5,8 => CTR => C7: 1,2,6
* DIS # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 + C7: 1,2,6 # H7: 5,8 => CTR => H7: 1
* PRF # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 + C7: 1,2,6 + H7: 1 => SOL
* STA F9: 2
* CNT   6 HDP CHAINS /  12 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

17957;Kz1 b;GP;23;11.30;11.30;10.80

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I5,H6: 8..:

* INC # H6: 8 # D5: 1,5 => UNS
* INC # H6: 8 # D5: 8,9 => UNS
* INC # H6: 8 # B4: 1,5 => UNS
* INC # H6: 8 # C4: 1,5 => UNS
* INC # H6: 8 # E6: 5,7 => UNS
* INC # H6: 8 # E6: 4,9 => UNS
* INC # H6: 8 # H4: 5,7 => UNS
* INC # H6: 8 # I4: 5,7 => UNS
* INC # H6: 8 # E8: 5,7 => UNS
* INC # H6: 8 # E8: 4,8 => UNS
* INC # H6: 8 # E6: 4,7 => UNS
* INC # H6: 8 # E6: 5,9 => UNS
* INC # H6: 8 # F8: 4,7 => UNS
* INC # H6: 8 # F9: 4,7 => UNS
* INC # H6: 8 # G8: 1,5 => UNS
* INC # H6: 8 # G8: 7 => UNS
* INC # H6: 8 # C7: 1,5 => UNS
* INC # H6: 8 # C7: 2,3,6,8 => UNS
* INC # H6: 8 # H1: 1,5 => UNS
* INC # H6: 8 # H1: 3,4 => UNS
* INC # H6: 8 => UNS
* INC # I5: 8 # A5: 1,7 => UNS
* INC # I5: 8 # A5: 2 => UNS
* INC # I5: 8 # G9: 5,6 => UNS
* INC # I5: 8 # G9: 7 => UNS
* INC # I5: 8 # C7: 5,6 => UNS
* INC # I5: 8 # C7: 1,2,3,8 => UNS
* INC # I5: 8 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for A5,A6: 7..:

* INC # A5: 7 # B6: 3,6 => UNS
* INC # A5: 7 # C6: 3,6 => UNS
* INC # A5: 7 # A3: 3,6 => UNS
* INC # A5: 7 # A7: 3,6 => UNS
* DIS # A5: 7 # D5: 1,8 => CTR => D5: 5,9
* INC # A5: 7 + D5: 5,9 # F2: 1,8 => UNS
* INC # A5: 7 + D5: 5,9 # F2: 2,3,4 => UNS
* INC # A5: 7 + D5: 5,9 # I4: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # I5: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # B5: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # B5: 1,9 => UNS
* INC # A5: 7 + D5: 5,9 # G1: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # G1: 1,3 => UNS
* INC # A5: 7 + D5: 5,9 # B6: 3,6 => UNS
* INC # A5: 7 + D5: 5,9 # C6: 3,6 => UNS
* INC # A5: 7 + D5: 5,9 # A3: 3,6 => UNS
* INC # A5: 7 + D5: 5,9 # A7: 3,6 => UNS
* INC # A5: 7 + D5: 5,9 # E6: 5,9 => UNS
* INC # A5: 7 + D5: 5,9 # E6: 4,7,8 => UNS
* INC # A5: 7 + D5: 5,9 # B5: 5,9 => UNS
* INC # A5: 7 + D5: 5,9 # B5: 1,2 => UNS
* INC # A5: 7 + D5: 5,9 # F2: 1,8 => UNS
* INC # A5: 7 + D5: 5,9 # F2: 2,3,4 => UNS
* INC # A5: 7 + D5: 5,9 # I4: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # I5: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # B5: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # B5: 1,9 => UNS
* INC # A5: 7 + D5: 5,9 # G1: 2,5 => UNS
* INC # A5: 7 + D5: 5,9 # G1: 1,3 => UNS
* INC # A5: 7 + D5: 5,9 => UNS
* INC # A6: 7 # B4: 1,2 => UNS
* INC # A6: 7 # C4: 1,2 => UNS
* INC # A6: 7 # B5: 1,2 => UNS
* INC # A6: 7 # A3: 1,2 => UNS
* INC # A6: 7 # A7: 1,2 => UNS
* INC # A6: 7 # E6: 4,8 => UNS
* INC # A6: 7 # E6: 5,9 => UNS
* INC # A6: 7 # H6: 4,8 => UNS
* INC # A6: 7 # H6: 3,5 => UNS
* INC # A6: 7 # F2: 4,8 => UNS
* INC # A6: 7 # F8: 4,8 => UNS
* INC # A6: 7 # F9: 4,8 => UNS
* INC # A6: 7 # H4: 3,5 => UNS
* INC # A6: 7 # H6: 3,5 => UNS
* INC # A6: 7 # B6: 3,5 => UNS
* INC # A6: 7 # C6: 3,5 => UNS
* INC # A6: 7 # G1: 3,5 => UNS
* INC # A6: 7 # G1: 1,2 => UNS
* INC # A6: 7 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for E7,F9: 2..:

* INC # F9: 2 # B9: 4,6 => UNS
* INC # F9: 2 # B9: 5,9 => UNS
* INC # F9: 2 # A3: 4,6 => UNS
* INC # F9: 2 # A3: 1,2,3 => UNS
* DIS # F9: 2 # D7: 5,8 => CTR => D7: 3
* DIS # F9: 2 + D7: 3 # E8: 5,8 => CTR => E8: 4,7
* INC # F9: 2 + D7: 3 + E8: 4,7 # D9: 5,8 => UNS
* INC # F9: 2 + D7: 3 + E8: 4,7 # D9: 5,8 => UNS
* DIS # F9: 2 + D7: 3 + E8: 4,7 # D9: 4 => CTR => D9: 5,8
* DIS # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 # C7: 5,8 => CTR => C7: 1,2,6
* DIS # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 + C7: 1,2,6 # H7: 5,8 => CTR => H7: 1
* PRF # F9: 2 + D7: 3 + E8: 4,7 + D9: 5,8 + C7: 1,2,6 + H7: 1 => SOL
* STA F9: 2
* CNT  12 HDP CHAINS /  12 HYP OPENED