Analysis of xx-ph-00000285-280-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 initial

Autosolve

position: ...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 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

Time used: 0:00:00.000012

List of important HDP chains detected for G1,H2: 3..:

* DIS # G1: 3 # A2: 1,6 => CTR => A2: 3,4,8
* CNT   1 HDP CHAINS /  32 HYP OPENED

List of important HDP chains detected for I7,H9: 2..:

* DIS # I7: 2 # B7: 3,8 => CTR => B7: 1,7
* CNT   1 HDP CHAINS /  20 HYP OPENED

List of important HDP chains detected for E2,F3: 8..:

* DIS # E2: 8 # F7: 6,7 => CTR => F7: 3
* DIS # E2: 8 + F7: 3 # F9: 6,7 => CTR => F9: 4,5
* DIS # E2: 8 + F7: 3 + F9: 4,5 # E9: 4,5 => CTR => E9: 1,6
* CNT   3 HDP CHAINS /  48 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:16.702993

List of important HDP chains detected for D3,D6: 2..:

* DIS # D3: 2 # D4: 3,5 # E2: 1,6 => CTR => E2: 5,8
* PRF # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 5 => SOL
* STA # D3: 2 # D4: 3,5 + E2: 5,8 + E1: 5
* CNT   2 HDP CHAINS /  18 HYP OPENED

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

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 initial
...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E1,D3: 2.. / E1 = 2  =>  0 pairs (_) / D3 = 2  =>  2 pairs (_)
I7,H9: 2.. / I7 = 2  =>  1 pairs (_) / H9 = 2  =>  1 pairs (_)
D3,D6: 2.. / D3 = 2  =>  2 pairs (_) / D6 = 2  =>  0 pairs (_)
G1,H2: 3.. / G1 = 3  =>  1 pairs (_) / H2 = 3  =>  1 pairs (_)
I2,G3: 4.. / I2 = 4  =>  1 pairs (_) / G3 = 4  =>  1 pairs (_)
E2,F3: 8.. / E2 = 8  =>  1 pairs (_) / F3 = 8  =>  0 pairs (_)
I1,H3: 9.. / I1 = 9  =>  0 pairs (_) / H3 = 9  =>  0 pairs (_)
* DURATION: 0:00:04.431572  START: 05:15:54.377464  END: 05:15:58.809036 2020-10-17
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D3,D6: 2.. / D3 = 2 ==>  2 pairs (_) / D6 = 2 ==>  0 pairs (_)
E1,D3: 2.. / E1 = 2 ==>  0 pairs (_) / D3 = 2 ==>  2 pairs (_)
I2,G3: 4.. / I2 = 4 ==>  1 pairs (_) / G3 = 4 ==>  1 pairs (_)
G1,H2: 3.. / G1 = 3 ==>  1 pairs (_) / H2 = 3 ==>  1 pairs (_)
I7,H9: 2.. / I7 = 2 ==>  2 pairs (_) / H9 = 2 ==>  1 pairs (_)
E2,F3: 8.. / E2 = 8 ==>  4 pairs (_) / F3 = 8 ==>  0 pairs (_)
I1,H3: 9.. / I1 = 9 ==>  0 pairs (_) / H3 = 9 ==>  0 pairs (_)
* DURATION: 0:01:06.769899  START: 05:15:58.809814  END: 05:17:05.579713 2020-10-17
* REASONING G1,H2: 3..
* DIS # G1: 3 # A2: 1,6 => CTR => A2: 3,4,8
* CNT   1 HDP CHAINS /  32 HYP OPENED
* REASONING I7,H9: 2..
* DIS # I7: 2 # B7: 3,8 => CTR => B7: 1,7
* CNT   1 HDP CHAINS /  20 HYP OPENED
* REASONING E2,F3: 8..
* DIS # E2: 8 # F7: 6,7 => CTR => F7: 3
* DIS # E2: 8 + F7: 3 # F9: 6,7 => CTR => F9: 4,5
* DIS # E2: 8 + F7: 3 + F9: 4,5 # E9: 4,5 => CTR => E9: 1,6
* CNT   3 HDP CHAINS /  48 HYP OPENED
* DCP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D3,D6: 2.. / D3 = 2 ==>  0 pairs (*) / D6 = 2  =>  0 pairs (X)
* DURATION: 0:00:16.700508  START: 05:17:05.659938  END: 05:17:22.360446 2020-10-17
* REASONING D3,D6: 2..
* DIS # D3: 2 # D4: 3,5 # E2: 1,6 => CTR => E2: 5,8
* PRF # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 5 => SOL
* STA # D3: 2 # D4: 3,5 + E2: 5,8 + E1: 5
* CNT   2 HDP CHAINS /  18 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

285;280;elev;23;11.40;11.40;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D6: 2..:

* INC # D3: 2 # D4: 3,5 => UNS
* INC # D3: 2 # F4: 3,5 => UNS
* INC # D3: 2 # F5: 3,5 => UNS
* INC # D3: 2 # C6: 3,5 => UNS
* INC # D3: 2 # G6: 3,5 => UNS
* INC # D3: 2 # H6: 3,5 => UNS
* INC # D3: 2 # D8: 3,5 => UNS
* INC # D3: 2 # D8: 1,7 => UNS
* INC # D3: 2 # D7: 3,6 => UNS
* INC # D3: 2 # D7: 1,7 => UNS
* INC # D3: 2 # F4: 3,6 => UNS
* INC # D3: 2 # F5: 3,6 => UNS
* INC # D3: 2 => UNS
* INC # D6: 2 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for E1,D3: 2..:

* INC # D3: 2 # D4: 3,5 => UNS
* INC # D3: 2 # F4: 3,5 => UNS
* INC # D3: 2 # F5: 3,5 => UNS
* INC # D3: 2 # C6: 3,5 => UNS
* INC # D3: 2 # G6: 3,5 => UNS
* INC # D3: 2 # H6: 3,5 => UNS
* INC # D3: 2 # D8: 3,5 => UNS
* INC # D3: 2 # D8: 1,7 => UNS
* INC # D3: 2 # D7: 3,6 => UNS
* INC # D3: 2 # D7: 1,7 => UNS
* INC # D3: 2 # F4: 3,6 => UNS
* INC # D3: 2 # F5: 3,6 => UNS
* INC # D3: 2 => UNS
* INC # E1: 2 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for I2,G3: 4..:

* INC # I2: 4 # G1: 6,7 => UNS
* INC # I2: 4 # I1: 6,7 => UNS
* INC # I2: 4 # H3: 6,7 => UNS
* INC # I2: 4 # D3: 6,7 => UNS
* INC # I2: 4 # F3: 6,7 => UNS
* INC # I2: 4 # G5: 6,7 => UNS
* INC # I2: 4 # G7: 6,7 => UNS
* INC # I2: 4 # G9: 6,7 => UNS
* INC # I2: 4 => UNS
* INC # G3: 4 # I1: 1,6 => UNS
* INC # G3: 4 # H2: 1,6 => UNS
* INC # G3: 4 # H3: 1,6 => UNS
* INC # G3: 4 # A2: 1,6 => UNS
* INC # G3: 4 # D2: 1,6 => UNS
* INC # G3: 4 # E2: 1,6 => UNS
* INC # G3: 4 # I7: 1,6 => UNS
* INC # G3: 4 # I7: 2,7,8 => UNS
* INC # G3: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for G1,H2: 3..:

* INC # G1: 3 # I1: 1,6 => UNS
* INC # G1: 3 # I2: 1,6 => UNS
* INC # G1: 3 # H3: 1,6 => UNS
* DIS # G1: 3 # A2: 1,6 => CTR => A2: 3,4,8
* INC # G1: 3 + A2: 3,4,8 # D2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # E2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H9: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H9: 2,5,7 => UNS
* INC # G1: 3 + A2: 3,4,8 # I1: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # I2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H3: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # D2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # E2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H9: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H9: 2,5,7 => UNS
* INC # G1: 3 + A2: 3,4,8 # I1: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # I2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H3: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # D2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # E2: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H9: 1,6 => UNS
* INC # G1: 3 + A2: 3,4,8 # H9: 2,5,7 => UNS
* INC # G1: 3 + A2: 3,4,8 => UNS
* INC # H2: 3 # I1: 6,7 => UNS
* INC # H2: 3 # G3: 6,7 => UNS
* INC # H2: 3 # H3: 6,7 => UNS
* INC # H2: 3 # F1: 6,7 => UNS
* INC # H2: 3 # F1: 5 => UNS
* INC # H2: 3 # G5: 6,7 => UNS
* INC # H2: 3 # G7: 6,7 => UNS
* INC # H2: 3 # G9: 6,7 => UNS
* INC # H2: 3 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for I7,H9: 2..:

* DIS # I7: 2 # B7: 3,8 => CTR => B7: 1,7
* INC # I7: 2 + B7: 1,7 # A8: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # B8: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # C4: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # C6: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # B8: 1,7 => UNS
* INC # I7: 2 + B7: 1,7 # B9: 1,7 => UNS
* INC # I7: 2 + B7: 1,7 # D7: 1,7 => UNS
* INC # I7: 2 + B7: 1,7 # D7: 3,6 => UNS
* INC # I7: 2 + B7: 1,7 # A8: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # B8: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # C4: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 # C6: 3,8 => UNS
* INC # I7: 2 + B7: 1,7 => UNS
* INC # H9: 2 # A9: 4,9 => UNS
* INC # H9: 2 # B9: 4,9 => UNS
* INC # H9: 2 # C3: 4,9 => UNS
* INC # H9: 2 # C4: 4,9 => UNS
* INC # H9: 2 # C6: 4,9 => UNS
* INC # H9: 2 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for E2,F3: 8..:

* INC # E2: 8 # F1: 6,7 => UNS
* INC # E2: 8 # D3: 6,7 => UNS
* INC # E2: 8 # G3: 6,7 => UNS
* INC # E2: 8 # H3: 6,7 => UNS
* DIS # E2: 8 # F7: 6,7 => CTR => F7: 3
* DIS # E2: 8 + F7: 3 # F9: 6,7 => CTR => F9: 4,5
* INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # G3: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # H3: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # G3: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # H3: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # B7: 2,8 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # B7: 1,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # I7: 2,8 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # I7: 1,6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # C3: 2,8 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # C3: 4,9 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 # E8: 4,5 => UNS
* DIS # E2: 8 + F7: 3 + F9: 4,5 # E9: 4,5 => CTR => E9: 1,6
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 4,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 1 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F4: 4,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F5: 4,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F1: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F1: 5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # G3: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # H3: 6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # B7: 2,8 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # B7: 1,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # I7: 2,8 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # I7: 1,6,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # C3: 2,8 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # C3: 4,9 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # D7: 1,6 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # D7: 7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # H9: 1,6 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # H9: 2,5,7 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E1: 1,6 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E1: 2,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 4,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 1 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F4: 4,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F5: 4,5 => UNS
* INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 => UNS
* INC # F3: 8 => UNS
* CNT  48 HDP CHAINS /  48 HYP OPENED

Full list of HDP chains traversed for I1,H3: 9..:

* INC # I1: 9 => UNS
* INC # H3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D3,D6: 2..:

* INC # D3: 2 # D4: 3,5 => UNS
* INC # D3: 2 # F4: 3,5 => UNS
* INC # D3: 2 # F5: 3,5 => UNS
* INC # D3: 2 # C6: 3,5 => UNS
* INC # D3: 2 # G6: 3,5 => UNS
* INC # D3: 2 # H6: 3,5 => UNS
* INC # D3: 2 # D8: 3,5 => UNS
* INC # D3: 2 # D8: 1,7 => UNS
* INC # D3: 2 # D7: 3,6 => UNS
* INC # D3: 2 # D7: 1,7 => UNS
* INC # D3: 2 # F4: 3,6 => UNS
* INC # D3: 2 # F5: 3,6 => UNS
* INC # D3: 2 # D4: 3,5 # E1: 1,6 => UNS
* DIS # D3: 2 # D4: 3,5 # E2: 1,6 => CTR => E2: 5,8
* INC # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 1,6 => UNS
* PRF # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 5 => SOL
* STA # D3: 2 # D4: 3,5 + E2: 5,8 + E1: 5
* CNT  16 HDP CHAINS /  18 HYP OPENED