superior plus puzzles

Everything about Sudoku that doesn't fit in one of the other sections

Postby daj95376 » Thu Sep 21, 2006 11:11 pm

Deleted: Wrong hierarchy used.
Last edited by daj95376 on Thu Sep 21, 2006 7:59 pm, edited 1 time in total.
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Postby tarek » Thu Sep 21, 2006 11:23 pm

daj95376 wrote:Here's my hierarchy:

Code: Select all
Superior #1: Naked/Hidden Singles, Naked Pairs/Triples, Locked Candidates (1&2), and X-Wing
Plus     #1: Naked Quads
Superior #2: Hidden Pairs/Triples
Plus     #2: Hidden Quads, Swordfish, and Jellyfish


Manual solvers solving without pencilmarks would spot hidden subsets easier.........

a required technique's removal -as discussed earlier- would render the puzzle unsolvable using the rest of the techniques.

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Postby daj95376 » Fri Sep 22, 2006 12:01 am

Thanks gsf and tarek for setting me straight on the need to place Hidden Pairs/Triples before Naked Quads in my hierarchy!!! I've retracted my puzzles.
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Postby ab » Thu Sep 28, 2006 12:28 pm

here's an interesting puzzle:
Code: Select all
 . . . | . . 7 | 5 2 6
 8 . 5 | 2 . . | . . .
 7 . . | 4 . . | . . .
 ------+-------+------
 5 . . | . . . | 8 9 2
 . . . | . . . | . . .
 6 2 9 | . . . | . . 7
 ------+-------+------
 . . . | . . 5 | . . 1
 . . . | . . 6 | 4 . 8
 4 3 6 | 8 . . | . . .

you can solve it with locked candidates and a naked quad, or you can solve it with locked candidates, a naked triple and a swordfish.
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Postby gsf » Thu Sep 28, 2006 3:04 pm

ab wrote:you can solve it with locked candidates and a naked quad, or you can solve it with locked candidates, a naked triple and a swordfish.

along with some singles?
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Postby daj95376 » Sun Oct 01, 2006 9:03 am

Code: Select all
(1) Solution
(5) Puzzles
(2) Different Swordfish
(2) Different Jellyfish
(1) Naked Quad

375124689219658734486937215658342971942571368731896542897213456563489127124765893
...12..8......87....6.3.2.5.5...2.7...2.7.3...3.8...4.8.7.1.4....34......2..65...
..5.2.68....6........9.72...58....7..42.7.36..3....54...72.3........9....24.6.8..
.75.24...2.......4.86....1...8..2....4.571.6....8..5...9....45.5.......7...76.89.
3......89.1.6.......6..72..6..34..7.9.2.7.3.8.3..96..2..72..4.......9.2.12......3
3.5.2.....19.58..4...9.......8...9..94.5.1.68..1...5.......3...5..48.12.....6.8.3

Code: Select all
# Swordfish + Swordfish
...4..8..1.6.....49...6.213...1.3.2.32..4..67.7.6.2...793.1...28.....1.9..4..6...
..6..2...3.271..4.8.....2.77.92...1.....4.....1...73.99.7.....3.4..987.6...4..1..
.5..4.1.6.4.5.....8.17.9...3.49...1...........1...64.8...3.86.4.....1.9.4.8.9..3.
5.3.1.....625.9...9...2.7....1.....5.9.352.1.6.....2....7.6...2...1.546.....4.9.1

# Swordfish + Jellyfish
8.3.....91..2......7..1.5...284...7....598....4...289...5.2..8......9..24.....7.6

# Jellyfish + Jellyfish
..8.125..3.146..2.5..8....18..5......32...65......6..84....3..5.8..512.4..598.1..
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Postby ab » Sun Oct 01, 2006 9:42 am

very nice set of puzzles daj95376, thanks:D

Here's one of my own, with a jellyfish:
Code: Select all
 3 . 4 | 2 . 7 | 8 . 9
 . . . | 9 . 5 | . . .
 . . . | . . . | . . .
 ------+-------+------
 7 . 9 | . . . | 5 . 8
 . . . | . . . | . . .
 2 . 8 | . . . | 3 . 4
 ------+-------+------
 . . . | . 7 . | . . .
 . 7 . | 6 . 9 | . 3 .
 9 . 3 | 8 . 4 | 7 . 2
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Postby Eioru » Sun Oct 01, 2006 5:06 pm

daj95376 wrote:
Code: Select all
# Jellyfish + Jellyfish
..8.125..3.146..2.5..8....18..5......32...65......6..84....3..5.8..512.4..598.1..


What a amazing puzzle with 2 rare jellyfishes with 13 7s and 11 9s ...
I save it to me list, thanks.
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Postby daj95376 » Fri Oct 06, 2006 12:40 pm

How about two Swordfish ... in the same columns ... and both required!

Code: Select all
..7.2...36.19..8...8...1..2..4..6...8...1...6...2..9..3..6...8...8..21.97...9.3..

               Singles
c147  -  4     Swordfish
c147  -  5     Swordfish
               Singles
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Postby wapati » Fri Oct 06, 2006 1:53 pm

Eioru wrote:
daj95376 wrote:
Code: Select all
# Jellyfish + Jellyfish
..8.125..3.146..2.5..8....18..5......32...65......6..84....3..5.8..512.4..598.1..


What a amazing puzzle with 2 rare jellyfishes with 13 7s and 11 9s ...
I save it to me list, thanks.


It is quite unusual.

It can be solved with a skyscraper (grouped-x/finned-x) as the first ( ! ) step after setting singles. R1C1->R8C1 against R1C9->R9C9 on sixes, setting R9C2 = 7

Code: Select all
.------------------.------------------.------------------.
| 679*  4679  8    | 37    1     2    | 5     34679 3679*|
| 3     79    1    | 4     6     5    | 8     2     79   |
| 5     2     4679 | 8     379   79   | 3479  34679 1    |
:------------------+------------------+------------------:
| 8     4679  4679 | 5     379   79   | 3479  1     2    |
| 179   3     2    | 17    4     8    | 6     5     79   |
| 179   5     479  | 1237  2379  6    | 3479  3479  8    |
:------------------+------------------+------------------:
| 4     1     679  | 267   27    3    | 79    8     5    |
| 679*  8     3    | 67    5     1    | 2    -679   4    |
| 2    -67    5    | 9     8     4    | 1     367   367* |
'------------------'------------------'------------------'
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Postby tarek » Wed Oct 18, 2006 12:11 am

Consider the following 2 puzzles:
Code: Select all
 . . 7 | . . 1 | . . 8 
 . 5 . | . 3 . | . 2 . 
 . . . | . . . | 7 . . 
-------+-------+------
 . . 9 | . . 2 | . . 6 
 . 3 . | . 9 . | . 5 . 
 6 . . | 3 . . | 1 . . 
-------+-------+------
 . . 1 | . . . | . . . 
 . 6 . | . 4 . | . 9 . 
 7 . . | 8 . . | 3 . . 

 . . 7 | . . 1 | . . 8 
 . 5 . | . 3 . | . 2 . 
 . . . | . . . | 7 . . 
-------+-------+------
 . . . | . . 2 | . . 6 
 . 3 . | . 9 . | . 5 . 
 6 . . | 3 . . | 1 . . 
-------+-------+------
 . . 1 | . . . | . . . 
 . 6 . | . 4 . | . 9 . 
 7 . . | 8 . . | 3 . . 

Both have the same solution & both are Superior+, the 1st is symmetrically minimal & the 2nd minimal but non symmetric. You can destroy/bypass some techniques in the 1st using slightly more difficult techniques, while in the 2nd, you just couldn't. You must therefore use at least the following to solve the second puzzle:
Code: Select all
1. 1 Swordfish
2. 2 naked doubles with hidden quads counterparts
3. 1 hidden double with a naked triple counterpart
4. 1 hidden double with a naked quad counterpart


if you choose to go by the book.....Then you will enjoy fishing many Swordfishes (Especially the 2nd puzzle) & X-wings(Especially the 1st)....

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Swordfish example

Postby Pat » Mon Jan 15, 2007 3:08 pm

Ruud wrote:
Ocean (2006.May.19) wrote:
    411 M20s

    Non-isomorphic

    Identical pattern

    20 clues

    Minimal
    #254
Code: Select all
 . . . | . 1 . | . . 2
 . . 3 | . . . | . 4 .
 . 5 . | . . 6 | 1 . .
-------+-------+------
 . . . | . . 7 | 8 . .
 9 . . | . . . | . . 6
 . . 4 | 1 . . | . . .
-------+-------+------
 . . 1 | 3 . . | . 5 .
 . 6 . | . . . | 9 . .
 2 . . | . 4 . | . . .


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Swordfish example

Postby Pat » Wed Jul 11, 2007 12:02 pm

claudiarabia (2007.Jul.6) wrote:
    [ 23 clues ]

    Code: Select all
     6 . . | . 3 . | . . 1
     . 5 . | 2 . 4 | . 8 .
     . . . | . . . | . . .
    -------+-------+------
     . 1 . | 7 . . | . 3 .
     8 . . | . 9 . | . . 2
     . 7 . | . . 5 | . 4 .
    -------+-------+------
     . . . | . . . | . . .
     . 4 . | 8 . 7 | . 5 .
     3 . . | . 1 . | . . 6


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    Postby tarek » Thu Oct 11, 2007 9:30 am

    Not symmetric I'm afraid........still very nice

    WHAT IS YOUR SHORTEST PATH OUT OF THIS:
    Code: Select all
    000000006000005070000090800006000003050007060900080100002800000070003050800010900
     . . . | . . . | . . 6 
     . . . | . . 5 | . 7 . 
     . . . | . 9 . | 8 . . 
    -------+-------+------
     . . 6 | . . . | . . 3 
     . 5 . | . . 7 | . 6 . 
     9 . . | . 8 . | 1 . . 
    -------+-------+------
     . . 2 | 8 . . | . . . 
     . 7 . | . . 3 | . 5 . 
     8 . . | . 1 . | 9 . . 



    And another one, symmetric this time:D :
    Code: Select all
    300004900040010000002600008900000400060000020003000007400001300000090010005800006
     3 . . | . . 4 | 9 . . 
     . 4 . | . 1 . | . . . 
     . . 2 | 6 . . | . . 8 
    -------+-------+------
     9 . . | . . . | 4 . . 
     . 6 . | . . . | . 2 . 
     . . 3 | . . . | . . 7 
    -------+-------+------
     4 . . | . . 1 | 3 . . 
     . . . | . 9 . | . 1 . 
     . . 5 | 8 . . | . . 6


    & before Igo, another one:
    Code: Select all
    003000600000274000010000050400005008200190000500003002060000080000758000007000300
     . . 3 | . . . | 6 . . 
     . . . | 2 7 4 | . . . 
     . 1 . | . . . | . 5 . 
    -------+-------+------
     4 . . | . . 5 | . . 8 
     2 . . | 1 9 . | . . . 
     5 . . | . . 3 | . . 2 
    -------+-------+------
     . 6 . | . . . | . 8 . 
     . . . | 7 5 8 | . . . 
     . . 7 | . . . | 3 . . 


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    Postby RW » Thu Oct 11, 2007 10:46 am

    tarek wrote:WHAT IS YOUR SHORTEST PATH OUT OF THIS:
    Code: Select all
    000000006000005070000090800006000003050007060900080100002800000070003050800010900
     . . . | . . . | . . 6 
     . . . | . . 5 | . 7 . 
     . . . | . 9 . | 8 . . 
    -------+-------+------
     . . 6 | . . . | . . 3 
     . 5 . | . . 7 | . 6 . 
     9 . . | . 8 . | 1 . . 
    -------+-------+------
     . . 2 | 8 . . | . . . 
     . 7 . | . . 3 | . 5 . 
     8 . . | . 1 . | 9 . . 

    Well, you asked for the shortest path... after singles:
    Code: Select all
     *-----------------------------------------------------------------------------*
     | 123457  1234    13457   | 2347    2347    8       | 2345    9       6       |
     | 2346    8       9       | 2346    2346    5       | 234     7       1       |
     | 234567  2346    3457    | 23467   9       1       | 8       234     245     |
     |-------------------------+-------------------------+-------------------------|
     | 1247    124     6       | 1245    245     9       | 2457    8       3       |
     | 1234    5       8       | 1234    234     7       | 24      6       9       |
     | 9       234     347     | 23456   8       246     | 1       24      2457    |
     |-------------------------+-------------------------+-------------------------|
     | 3456    9       2       | 8       4567    46      | 3467    1       47      |
     | 146     7       14      | 9       246     3       | 246     5       8       |
     | 8       346     345     | 24567   1       246     | 9       234     247     |
     *-----------------------------------------------------------------------------*
    [r7c9]-7-[r7c5]=7=[r1c5]-7-[r1c1]
                   =7=[r9c4]=5=[r9c3]-5-[r7c1]
          -7-[r6c9]=7=[r4c7]-7-[r4c1]=7=[r3c1]=5=[r1c1]-5-[r1c7]=5=[r3c9]-5-[r6c9]=5=[r4c7]

    r4c7 cannot be both 5 and 7 => r7c9<>7

    Rest is singles.:D

    Ok, I admit, horrible solution... Very nice puzzle, definitely not easy to get around the swords and the jelly!

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