Death Blossom Complex Type

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Death Blossom Complex Type

Postby yzfwsf » Thu Nov 19, 2020 12:52 pm

Hi StrmCkr:
According to your suggestions, add Death Blossom complex type techniques, as follows.But it slows down the program significantly.
DB Complex.png
DB Complex.png (33 KiB) Viewed 992 times

Death Blossom Complex Type 1: Set have degrees of freedom of 1-16789{r3c1256} => r2c6<>7
1r3c12-{r2c3}
1r3c5-{r126c4}
DB Complex2.png
DB Complex2.png (39.32 KiB) Viewed 990 times

Death Blossom Complex Type 2: Set have degrees of freedom of 2-23456789{r136789c2} => r1c1<>3
7r1c2,8r1c2-{r1c679}
7r3c2,8r3c2-{r3c36}
7r789c2-{r25689c1}
4r8c2-{r7c23,r89c1}
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Re: Death Blossom Complex Type

Postby StrmCkr » Thu Nov 19, 2020 8:56 pm

edit: removed my pencil-mark notation wasn't updated to match your grids just noticed the error.
first grid
found it several ways
a)1678 @ R3C56
b) 1789 @ R3C12,R2C3
C) 1578 @R126C4

RC (ab: 8) (ac:1) Z:7
eliminates:
R2C6 <> 6


030092405420000600005400320002940030700001800060070102309080204200309080000004903

Code: Select all
+--------------------+---------------------+------------------+
| 168    3      1678 | 1678   9      2     | 4     17    5    |
| 4      2      178  | 1578   135    3578  | 6     179   1789 |
| 1689   1789   5    | 4      (16)   678   | 3     2     1789 |
+--------------------+---------------------+------------------+
| (158)  (158)  2    | 9      4      (568) | (57)  3     67   |
| 7      459    34   | 256    235-6  1     | 8     4569  69   |
| 589    6      348  | 58     7      358   | 1     459   2    |
+--------------------+---------------------+------------------+
| 3      157    9    | 1567   8      567   | 2     1567  4    |
| 2      1457   1467 | 3      (156)  9     | (57)  8     167  |
| 1568   1578   1678 | 12567  1256   4     | 9     1567  3    |
+--------------------+---------------------+------------------+

here is an example of the 2-als 2 RC
A) 1567 @ R8C57 <- (2 cells 4 digits)
B)15678 @ R4C1267
C) 16 @ R3C5

RC (A&B) 7
RC (A&C) 1
Z: 6
eliminate
6 @ R5C5

i know hodoku programing swaps the order of ABC around that might be a hiccup slowing it down as order doesn't really matter for xz,xy als and DB
as its uses RC from a-b, b-c, c-a : then interchanges how it allocates abc in its output.

however, order does matter for these versions: first selected als is fixed and all others are subsets of it.

by comparison to the above examplar:
here is what i mean this is from hodoku { these are found from the als-xy finding it notice the set sizes are all n cells with n+1 digits }

Death Blossom: [r8c7], -5- r38c5 {156}, -7- r4c1267 {15678} => r5c5<>6

Almost Locked Set XY-Wing: A=r4c1267 {15678}, B=r38c5 {156}, C=r8c7 {57}, X,Y=5,7, Z=6 => r5c5<>6

since the death blossom is coded using n cells with n+1 digits it wont ever find the 2als- 2rc using the same cells i noted above even though the descriptions for them show that they are supposed to use: almost almost locked sets. {n+2}
Last edited by StrmCkr on Thu Nov 19, 2020 10:47 pm, edited 4 times in total.
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Re: Death Blossom Complex Type

Postby StrmCkr » Thu Nov 19, 2020 9:20 pm

as per email ill rehash it on here

Code: Select all
  +------------------+----------------+------------+
    | -1     (1379)  . | (12)  (178)  . | .  (78)  . |
    | .      .       . | .     .      . | .  .     . |
    | .      (1369)  . | (26)  .      . | .  .     . |
    +------------------+----------------+------------+
    | .      .       . | .     .      . | .  .     . |
    | (45)   (359)   . | .     .      . | .  .     . |
    | .      .       . | .     .      . | .  .     . |
    +------------------+----------------+------------+
    | (148)  .       . | .     .      . | .  .     . |
    | (148)  .       . | .     .      . | .  .     . |
    | .      .       . | .     .      . | .  .     . |
    +------------------+----------------+------------+

something to consider adding
N^Als N^RC - rule

this works by having:
A) Almost locked set with freedom of N digits
where by
a S(et) of N als with freedom of 1.
Each having 1 RC between set A that are different

in a way that z digit common to A and all of S cannot be in any other cell that is visible to all z cells of S and A.

the example above:
A) 135679 @ R135C2 { + 3 digits)
B) 1458 @ R579C1 {+1 digit}
C) 126 @ R13C4 {+1 digit}
D) 178 @ R1C58 {+1 digit}

RC:
(A&B) 5
(A&C) 6
(A&D 7
Z - 1
R1C1 <> 1
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Re: Death Blossom Complex Type

Postby yzfwsf » Thu Nov 19, 2020 10:16 pm

Hi StrmCkr.
My algorithm is not exactly the same as what you mentioned. My algorithm is to find multiple ALSs for set A and make it a Rank 0 locked set(Type 1) or Rank -1 locked set (Type 2).For Type 1, we find the number of common deletions between the locked set and the Als group. For Type 2, we only need to find the common deletion number of the Als group. So my algorithm does not require RC, because I provide an Als for each additional candidate .
The version you mentioned, my program can also handle:
Death Blossom Complex Type 1: Set have degrees of freedom of 2-13679{r135c2} => r1c1<>1
7r1c2-{r1c4}
6r3c2-{r2c1}
DB 3.png
DB 3.png (31.93 KiB) Viewed 971 times
Last edited by yzfwsf on Thu Nov 19, 2020 10:24 pm, edited 1 time in total.
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Re: Death Blossom Complex Type

Postby StrmCkr » Thu Nov 19, 2020 10:21 pm

My algorithm is not exactly the same as what you mentioned.

interesting, i thought it was based on hodokus engine which i have studied to figure out why it was missing stuff compared to my own version of the same techniques.
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Re: Death Blossom Complex Type

Postby yzfwsf » Thu Nov 19, 2020 10:45 pm

StrmCkr wrote:
My algorithm is not exactly the same as what you mentioned.

interesting, i thought it was based on hodokus engine which i have studied to figure out why it was missing stuff compared to my own version of the same techniques.

The algorithm of my solver is not based on Hodoku, and it is estimated to be different from most people's, because I implemented Deah Blosoom with reverse thinking. Starting from assuming that the candidates to be deleted is true, find the affected Als, and then continue to delete from the affected Als‘s house. If you get a locked set of Rank 0 or Rank -1 (complex DB), if you get a empty cell (normal DB).
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Re: Death Blossom Complex Type

Postby StrmCkr » Thu Nov 19, 2020 10:49 pm

neat, so you did what some do for fish finding ,template shows the elimination, then identify the cover its in and build the fish backwards.

i did note some errors on my part coping the grid I didn't fully update the pm's
so I'm fixing my first post accordingly after i cross checked again and found the first one working

the 2nd one I'm still testing:

i can potentially get the sets built the elimination alludes me and my code

a) 2345679 @ R678C2
b) 23789 @ R1C2679
c) 3578 @ R3C236
d) 234567 @ R25689C1
e) 23679 @ R7C23,R9C12

RC, 2,5,7,9
Z:3 no eliminations...
Edit as per pm this is a type 1, no eliminations are correct.
Last edited by StrmCkr on Fri Nov 20, 2020 7:04 pm, edited 3 times in total.
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Re: Death Blossom Complex Type

Postby yzfwsf » Fri Nov 20, 2020 1:49 am

StrmCkr wrote:neat, so you did what some do for fish finding ,template shows the elimination, then identify the cover its in and build the fish backwards.

i did note some errors on my part coping the grid I didn't fully update the pm's
so I'm fixing my first post accordingly after i cross checked again and found the first one working

the 2nd one I'm still testing:

i can potentially get the sets built the elimination alludes me and my code

a) 2345679 @ R678C2
b) 23789 @ R1C2679
c) 3578 @ R3C236
d) 234567 @ R24589C1
e) 23679 @ R7C23,R9C2

RC, 2,5,7,9
Z:3 no eliminations...
guessing it has something to do with sets DE having 7 as a restricted common

d)234567 @ R24589C1 => 234567 @ R25689C1
e) 23679 @ R7C23,R9C2 => 23679 @ R7C23,R9C12
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Re: Death Blossom Complex Type

Postby StrmCkr » Fri Nov 20, 2020 9:02 pm

thanks, managed to get "type 2" to function not exactly the same as yours as you don't use RC,
i do and one of my requirements is RC's can't reuse RC's between S of A .
cause of that the type 2 you posted on here wont work for me as it reuses 7 twice.

the version that works for me is the one you pm'd
Death Blossom Complex Type 2: Set have degrees of freedom of 3-2345679{r6789c2} => r1c1<>3
2r67c2-{r1c2679}
5r6c2-{r3c236}
7r789c2-{r25689c1}
4r8c2-{r7c23,r89c1}

If 2r67c2, 5r6c2, 7r789c2, 4r8c2 are all false, then r6789 only has 369, which is impossible (4cells only have 3 kinds of candidates), so at least one of them is true, so that one of the Als becomes a locked set, forming an elimination(r1c1<>3),


i will note type 2 - adding an extra als exponentially slowed my code down 2...
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Re: Death Blossom Complex Type

Postby yzfwsf » Wed Nov 25, 2020 12:23 pm

Code: Select all
.--------------------.-------------------.------------------.
| 8      4579   3579 | 47    37    1     | 6    34579  2    |
| 12347  12479  6    | 2478  5     2348  | 489  34789  378  |
| 23457  2457   357  | 9     2367  23468 | 1    34578  3578 |
:--------------------+-------------------+------------------:
| 27     2678   1    | 5     2369  2369  | 289  26789  4    |
| 2457   3      57   | 246   8     2469  | 259  1      567  |
| 9      24568  58   | 1246  126   7     | 3    2568   568  |
:--------------------+-------------------+------------------:
| 137    1789   2    | 1678  1679  5     | 48   3468   1368 |
| 135    1589   3589 | 1268  4     2689  | 7    2368   1368 |
| 6      17     4    | 3     17    28    | 258  258    9    |
'--------------------'-------------------'------------------'

DB Complex3.png
DB Complex3.png (35.47 KiB) Viewed 878 times

Death Blossom Complex Type 3(Sue de Coq extension): Set have degrees of freedom of 1-24589{r2457c7} => r5c1<>5,r5c1<>7,r6c2<>5,r6c2<>8,r1c3<>5,r3c3<>5,r8c3<>5,r9c7<>8,r4c8<>2,r4c8<>6
2r45c7-{r6c389}
5r5c7-{r5c39}
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Re: Death Blossom Complex Type

Postby StrmCkr » Tue Dec 01, 2020 11:21 pm

here's another one
this one is a quintuplet attached to the death-blossom {death blossom exclusions for digit 9 are in the picture but arent part of my code eliminations as they are not applicable}

Capturedb.JPG
Capturedb.JPG (71.93 KiB) Viewed 830 times

set A) 456789 @ 34,35,43
set B) 678 @ 37,44
set C) 2345679 @ 13,31,40,58,67
set D) 45 @ 16
RC) 4,5,6,7,8,9 z: 23457

cell : digit
4 <> 2,4,7
22 <> 3,7
7 <> 4,5,7
52 <> 4,7
53 <> 7
Last edited by StrmCkr on Wed Dec 02, 2020 8:31 am, edited 2 times in total.
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Re: Death Blossom Complex Type

Postby yzfwsf » Wed Dec 02, 2020 7:33 am

Hi StrmCkr:
The list is the DB3 sample puzzles found by my solver, I think you can use them to test your program.
Hidden Text: Show
    :0000:x:..2.4...85...9+82...8..+6..5..+568+2...1+8..1+765.+227+1+4+5.+86...+5.+841..4..6+1..+85..8.3..2.:111 311 911 714 316 716 728 336 347 947 348 948 458 771 774 986 787 692 996 797 799 999::
    :0000:x:.4+61....39...2...6...+6.45....57+6...8.2.5.1.6..+6.94..5.6..2....1..7.+1.+63..1...68..:711 917 826 231 731 239 351 453 481 586 989 491::
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    :0000:x:..53........7+58...6...2.5....79.5.16+53..1..7.1....+72...5......1..4.7..9.3....48..:412 712 617 618 719 428 132 933 253 465 375 678 686::
    :0000:x:..3.1.4....+84....39.+4+3...2...6.3...1....2.+67..8.6..2+3.+64...3+71...9.7+65..8..1..+3+96:526 732 539 741 742 151 152 161 566 766 274 281 282 292::
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    :0000:x:.2...8.9.1+7.34.2......7....+85+16.....4.+2+8...1.9.7..48..+21+3+48....6.5+7...4.+7....312.:317 517 519 526 829 332 632 932 433 534 936 537 538 539 839 946 347 956 357 757 369 985 986 989 993 995::
    :0000:x:9..+2.5+6..+25.....3+9..6.9.+5.25...2..93.2+9..47....8+9.7+2.61...6.9....24.+98.5.9....+3..:412 413 115 315 815 124 125 826 331 132 332 834 836 854 855 196::
    :0000:x:4...+59.6+3...13.4....3.7+4+9.+1......3.7.+3..2.8..8.75+4+3+61...84+1.+5+36.4.+39.1..3....5.9+4:212 631 142 143 543 943 644 153 654 886 292::
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    :0000:x:...5.4.3.....8...9.6.2..7...1..+2...66...3..9...9.7.3.5.3..4+2..8..2....1.8.....2..:211 812 521 721 222 722 723 427 428 431 433 843 448 452 853 154 156 457 459 262 464 864 866 586 695 596::
    :0000:x:.1..9...4.+482...7.7...452..4...3...2..95..8...7.....9...+4..3.2.3..4.......762...5:611 616 317 318 621 127 627 129 629 134 338 638 339 146 251 652 155 156 656 756 158 658 359 163 663 166 666 866 167 872 972 677 777 679 682 882 683 785 188 189 197 997 198 898::
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    :0000:x:.1.2...9.4....1..7..5.6.1....75.94..5......8..4..2...9..+4..2..68..6...4...1.472..:515 815 316 319 824 239 145 248 367 368 972 577 578 582 587 399::
    :0000:x:..5.+7.4.+88..5...7..9..8...5..6.971..4..3...8.............+72...3..2..67..5..41..9.:316 926 327 229 131 331 242 248 259 659 862 363 763 864 468 269 469 872 478 182 482 188 892 893 697::
    :0000:x:.+2..9.4..8..2....3.3.....2.4.....1.6.7...5.....21....9.6..5...72....68....74..+61.:111 714 716 818 519 522 922 123 126 131 734 135 539 943 944 346 953 255 859 376 876 976 978 582 982 183 483 984 488 588 991 296::
    :0000:x:1..7.+46...4..5......8..3........9..3..1.4..6..6..1.2...+1..3.52..+59..8..7.2.....4+6:313 215 819 621 624 127 128 137 138 841 844 245 847 848 851 861 671 674 381 184 684 994 796 197 397::
    :0000:x:1+2+3.....9...2...3...6+3.92.....56+7..+367.8.3...+3.8..27.+6.3.+6.45..9...3..6..+61...+3.4:827 129 442 148 948 453 958 168 968 278 878 189::
    :0000:x:.4+9+65...3..1..86..6.....+5..8...9.7....247..5......6..21......3+7..7..92.....73...5:116 218 718 321 428 928 232 234 138 438 838 938 139 839 542 449 959 962 867 868 489::
    :0000:x:.+17.6..2..4...3..96.......11...5.+9.6...7..1.+2..9.2..3.2..6..59...1.45..8.......+1.:738 687::
    :0000:x:.3+2....7...9.3....5+7+16+4.3.8+7+9.2......+1..7.9.2+254+3+96.+8.+9...2..1.+1+278+634...6.9.....:811 115 116 519 126 826 546 147 149 651 577 579 779 893 597 598 599::
    :0000:x:4...56+79...69..5...7...2..6.+4..3...77..2.54...3.....2..5.1.....8...9.3....4..3.7.:113 813 222 828 829 131 331 133 333 833 641 152 852 664 864 766 271 273 279 289 291 292 299::
    :0000:x:+5....+14..1...67..5.9..35...9+5+37.6..8+721...9...4...2.7....1.......5.....44...2.8..:319 328 828 831 833 454 356 564 864 865 367 667 669 671 372 975 377 382 384 984 985 392 394 994 998::
    :0000:x:62.7.......9...3..8...2...7.4.5...6...6.1...5......7..5..2.1..4+4.2.3.5...6.+4+58.9.:416 625 128 528 129 436 952 962 772 773 782::
    :0000:x:7..+256.9+1.2..1.+6....+13+8.4+2...6...+78.+81+7+62...43..87.1+6..7..9...6..9...2..1......7.:421 423 523 446 949 557 474 476 576 378 578 484 486 388 588 589 492 599::
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db3.7z
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yzfwsf
 
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Re: Death Blossom Complex Type

Postby StrmCkr » Wed Dec 02, 2020 8:26 am

thanks for that probably a lot more files then i need for debugging

I'm still debugging my code for revamped and more extended eliminations and increased formation allowances.

so far the cases i cant duplicate are the "type 2" eliminations many of them land under my codes eliminations formulations without any problems, a few slide into the "add extra set" requirement for the eliminations but that's seldom.

trying to sort out why it missed those few and how to get it to work under my pretenses is interestingly a fun project.
Some do, some teach, the rest look it up.
stormdoku
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StrmCkr
 
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