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Hard puzzles: A new source?
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Wed Oct 26, 2011 1:35 pm    Post subject: Reply with quote

On this site, "hard" means naked or hidden set. I believe the Oct 19 has three doubles.

Keith
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Pat



Joined: 23 Feb 2010
Posts: 207

PostPosted: Wed Oct 26, 2011 2:08 pm    Post subject: Reply with quote

keith wrote:
On this site, "hard" means naked or hidden set. I believe the Oct 19 has three doubles.


it needs just 1 double

in the above discussion, i got the idea that a double is Medium, Hard meaning triple or larger
        arkietech wrote:
        Medium to me requires a pair or pairs
        but not triples or higher
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Wed Oct 26, 2011 2:35 pm    Post subject: Reply with quote

Pat wrote:
keith wrote:
On this site, "hard" means naked or hidden set. I believe the Oct 19 has three doubles.


it needs just 1 double

in the above discussion, i got the idea that a double is Medium, Hard meaning triple or larger
        arkietech wrote:
        Medium to me requires a pair or pairs
        but not triples or higher


I have worked "medium" puzzles for years from many sources. They all have NAKED doubles but not triple or higher. Never a HIDDEN double. to me a hidden double is the same and often coexists with a triple or quad.

I do not know the rules of this site.
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Pat



Joined: 23 Feb 2010
Posts: 207

PostPosted: Wed Oct 26, 2011 2:44 pm    Post subject: Reply with quote

okay, eventually i'll figure it out

Daily Sudoku wrote:

      2005.May.28 Very Hard
Code:

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

Play this puzzle online at the Daily Sudoku site

here too, triple not needed
-- but the "hidden" double makes it VH ?
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Wed Oct 26, 2011 3:14 pm    Post subject: Reply with quote

Pat wrote:
okay, eventually i'll figure it out

-- but the "hidden" double makes it VH ?


No--to me it is a Hard. A Very Hard requires an advanced move.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Wed Oct 26, 2011 4:30 pm    Post subject: Today's medium puzzle Reply with quote

Code:
 *-----------*
 |.3.|.2.|.5.|
 |4.2|3..|7..|
 |7..|8..|...|
 |---+---+---|
 |..1|...|.3.|
 |.7.|1.3|.9.|
 |.5.|...|2..|
 |---+---+---|
 |...|..5|..3|
 |..8|..4|5.7|
 |.6.|.1.|.4.|
 *-----------*
 
 *--------------------------------------------------------------------*
 | 68-19  3      69     | 4679   2      1679   | 14689  5      4689   |
 | 4      189    2      | 3      5      169    | 7      168    689    |
 | 7      19     5      | 8      469    169    | 3      126    2469   |
 |----------------------+----------------------+----------------------|
 | 68-9   89     1      | 5      7      2      | 468    3      468    |
 | 2      7      46     | 1      468    3      | 468    9      5      |
 | 3      5      469    | 469    4689   689    | 2      7      1      |
 |----------------------+----------------------+----------------------|
 |x19     4      7      | 269    689    5      | 1689   1268   3      |
 |x19     2      8      | 69     3      4      | 5      16     7      |
 | 5      6      3      | 279    1      789    | 89     4      289    |
 *--------------------------------------------------------------------*
From today's "medium" puzzle
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Pat



Joined: 23 Feb 2010
Posts: 207

PostPosted: Wed Oct 26, 2011 4:41 pm    Post subject: re: 2011.Oct.26 -- Medium Reply with quote


    re: 2011.Oct.26 -- Medium
1 move -- either (9) b5\r6 or (9) r4\b4
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Pat



Joined: 23 Feb 2010
Posts: 207

PostPosted: Wed Oct 26, 2011 5:03 pm    Post subject: "Meister Sudokus" puzzle 40 Reply with quote


    what rating for this tricky puzzle ?

    "Meister Sudokus" by Naumann und Goebel
    puzzle 40

    .6...4.......2....3.58....765...7.9..4.....2..7.1...364....69.1....8.......5...8.

    [ play ]
Code:
+-------+-------+-------+
| . 6 . | . . 4 | . . . |
| . . . | . 2 . | . . . |
| 3 . 5 | 8 . . | . . 7 |
+-------+-------+-------+
| 6 5 . | . . 7 | . 9 . |
| . 4 . | . . . | . 2 . |
| . 7 . | 1 . . | . 3 6 |
+-------+-------+-------+
| 4 . . | . . 6 | 9 . 1 |
| . . . | . 8 . | . . . |
| . . . | 5 . . | . 8 . |
+-------+-------+-------+
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Wed Oct 26, 2011 10:57 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

Pat wrote:

    what rating for this tricky puzzle ?

    "Meister Sudokus" by Naumann und Goebel
    puzzle 40

    .6...4.......2....3.58....765...7.9..4.....2..7.1...364....69.1....8.......5...8.

    [ play ]
Code:
+-------+-------+-------+
| . 6 . | . . 4 | . . . |
| . . . | . 2 . | . . . |
| 3 . 5 | 8 . . | . . 7 |
+-------+-------+-------+
| 6 5 . | . . 7 | . 9 . |
| . 4 . | . . . | . 2 . |
| . 7 . | 1 . . | . 3 6 |
+-------+-------+-------+
| 4 . . | . . 6 | 9 . 1 |
| . . . | . 8 . | . . . |
| . . . | 5 . . | . 8 . |
+-------+-------+-------+

In my book, "hard". Can be solved by hidden singles only, no sets.

If you want to grade puzzles simply by techniques needed, that's what you get.


Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Wed Oct 26, 2011 11:07 pm    Post subject: Reply with quote

I did the puzzle, but haven't a clue as to rating. I needed Multi-coloring (extension of Skyscraper); r7c3<>7=8.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Oct 27, 2011 2:40 am    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

keith wrote:
Pat wrote:

    what rating for this tricky puzzle ?

    "Meister Sudokus" by Naumann und Goebel
    puzzle 40

    .6...4.......2....3.58....765...7.9..4.....2..7.1...364....69.1....8.......5...8.

    [ play ]
Code:
+-------+-------+-------+
| . 6 . | . . 4 | . . . |
| . . . | . 2 . | . . . |
| 3 . 5 | 8 . . | . . 7 |
+-------+-------+-------+
| 6 5 . | . . 7 | . 9 . |
| . 4 . | . . . | . 2 . |
| . 7 . | 1 . . | . 3 6 |
+-------+-------+-------+
| 4 . . | . . 6 | 9 . 1 |
| . . . | . 8 . | . . . |
| . . . | 5 . . | . 8 . |
+-------+-------+-------+

In my book, "hard". Can be solved by hidden singles only, no sets.

If you want to grade puzzles simply by techniques needed, that's what you get.


Keith

Nice puzzle. No advanced moves or sets.

Did it without pencilmarks, but it helped that I knew advanced moves were not required.

The key is to figure out R7C3.

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Oct 27, 2011 4:53 pm    Post subject: Reply with quote

After Keith's post I had to do it again and didn't need advanced moves, although it's way too difficult for me to do it without pencil marks.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Thu Oct 27, 2011 5:50 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

keith wrote:

In my book, "hard". Can be solved by hidden singles only, no sets.


How do you handle this with no sets?
Code:
 *-----------------------------------------------------------*
 | 278   6     278   | 379   357   4     | 358   1     3589  |
 | 178   18    4     | 379   2     35    | 358   6     3589  |
 | 3     9     5     | 8     6     1     | 2     4     7     |
 |-------------------+-------------------+-------------------|
 | 6     5     238   | 23    34    7     | 1     9     48    |
 | 189   4     1389  | 6     359   358   | 7     2     58    |
 | 289   7     289   | 1     459   258   | 458   3     6     |
 |-------------------+-------------------+-------------------|
 | 4     28    28    | 237   37    6     | 9     5     1     |
 | 5     123   1269  | 4     8     239   | 36    7     23    |
 | 279   23    2679  | 5     1     239   | 346   8     234   |
 *-----------------------------------------------------------*

A great puzzle! to me some naked singles are very hard.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Oct 27, 2011 6:27 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

arkietech wrote:
keith wrote:

In my book, "hard". Can be solved by hidden singles only, no sets.


How do you handle this with no sets?
Code:
 *-----------------------------------------------------------*
 | 278   6     278   | 379   357   4     | 358   1     3589  |
 | 178   18    4     | 379   2     35    | 358   6     3589  |
 | 3     9     5     | 8     6     1     | 2     4     7     |
 |-------------------+-------------------+-------------------|
 | 6     5     238   | 23    34    7     | 1     9     48    |
 | 189   4     1389  | 6     359   358   | 7     2     58    |
 | 289   7     289   | 1     459   258   | 458   3     6     |
 |-------------------+-------------------+-------------------|
 | 4     28    28    | 237   37    6     | 9     5     1     |
 | 5     123   1269  | 4     8     239   | 36    7     23    |
 | 279   23    2679  | 5     1     239   | 346   8     234   |
 *-----------------------------------------------------------*

A great puzzle! to me some naked singles are very hard.


Dan, I'm not sure I understand your question. Are you challenging the reader to do the puzzle without using that 28 pair in r7? Also, what is a naked single? To me it sounds like a solved cell?

Quote:
In my book, "hard". Can be solved by hidden singles only, no sets.

May I assume that a set is a naked pair, triple, quads, etc? If that is the case, don't hidden singles (or hidden pairs, etc.) have complementary sets? So how could one use a hidden single without using a set?
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Thu Oct 27, 2011 8:06 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

Marty R. wrote:


Dan, I'm not sure I understand your question. Are you challenging the reader to do the puzzle without using that 28 pair in r7? Also, what is a naked single? To me it sounds like a solved cell?

Quote:
In my book, "hard". Can be solved by hidden singles only, no sets.

May I assume that a set is a naked pair, triple, quads, etc? If that is the case, don't hidden singles (or hidden pairs, etc.) have complementary sets? So how could one use a hidden single without using a set?

I could not see how to proceed without using a set (the pair) I thought I was missing something.

A naked single is the case when there is only one candidate left for a cell. The cell can "see" the other eight candidates. When doing a puzzle by pencil it is difficult to find these critters. It is easy when a solver computes the candidates for each cell automatically. Here the cell with only one candidate is the naked single. I believe that both hidden and naked pairs, triples, quads, and quints are sets. A set is more than one so a hidden single is not a set. Looking forward to learning more about this.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Oct 27, 2011 9:36 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

arkietech wrote:
keith wrote:

In my book, "hard". Can be solved by hidden singles only, no sets.


How do you handle this with no sets?
Code:
 *-----------------------------------------------------------*
 | 278   6     278   | 379   357   4     | 358   1     3589  |
 | 178   18    4     | 379   2     35    | 358   6     3589  |
 | 3     9     5     | 8     6     1     | 2     4     7     |
 |-------------------+-------------------+-------------------|
 | 6     5     238   | 23    34    7     | 1     9     48    |
 | 189   4     1389  | 6     359   358   | 7     2     58    |
 | 289   7     289   | 1     459   258   | 458   3     6     |
 |-------------------+-------------------+-------------------|
 | 4     28    28    | 237   37    6     | 9     5     1     |
 | 5     123   1269  | 4     8     239   | 36    7     23    |
 | 279   23    2679  | 5     1     239   | 346   8     234   |
 *-----------------------------------------------------------*

A great puzzle! to me some naked singles are very hard.


Here is the sticking point I reached:
Code:
+-------------------+-------------------+-------------------+
| 2789  6     2789  | 379   3579  4     | 358   1     3589  |
| 1789  189   4     | 379   2     1359  | 358   6     3589  |
| 3     19    5     | 8     6     19    | 2     4     7     |
+-------------------+-------------------+-------------------+
| 6     5     238   | 23    34    7     | 1     9     48    |
| 189   4     1389  | 6     359   3589  | 7     2     58    |
| 289   7     289   | 1     459   2589  | 458   3     6     |
+-------------------+-------------------+-------------------+
| 4     238   2378  | 237   37    6     | 9     5     1     |
| 5     1239  12369 | 4     8     239   | 36    7     23    |
| 279   239   23679 | 5     1     239   | 346   8     234   |
+-------------------+-------------------+-------------------+

You don't need any pairs to do this, nor pencil marks:
The 7 in B8 is in R7.
Look at B1. 23 in C2 must be in B7.
Thus, R7C3 is 8. Puzzle solved.

Honest, Charlie, that's how I solved it.

(But, as I said, I was forewarned it could be solved with singles only.)

Keith
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Thu Oct 27, 2011 10:22 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

keith wrote:
Look at B1. 23 in C2 must be in B7.
Thus, R7C3 is 8. Puzzle solved.

I call that a pair and a set(23).
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Oct 27, 2011 10:30 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

arkietech wrote:
keith wrote:
Look at B1. 23 in C2 must be in B7.
Thus, R7C3 is 8. Puzzle solved.

I call that a pair and a set(23).

A pair is two candidates (in this case 23) that must lie in three cells (C2B7)?

News to me. I thought a set was n candidates in n cells.

I will concede "intersection", but not "set".

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Oct 27, 2011 10:35 pm    Post subject: Re: "Meister Sudokus" puzzle 40 Reply with quote

keith wrote:
Here is the sticking point I reached:
Code:
+-------------------+-------------------+-------------------+
| 2789  6     2789  | 379   3579  4     | 358   1     3589  |
| 1789  189   4     | 379   2     1359  | 358   6     3589  |
| 3     19    5     | 8     6     19    | 2     4     7     |
+-------------------+-------------------+-------------------+
| 6     5     238   | 23    34    7     | 1     9     48    |
| 189   4     1389  | 6     359   3589  | 7     2     58    |
| 289   7     289   | 1     459   2589  | 458   3     6     |
+-------------------+-------------------+-------------------+
| 4     238   2378  | 237   37    6     | 9     5     1     |
| 5     1239  12369 | 4     8     239   | 36    7     23    |
| 279   239   23679 | 5     1     239   | 346   8     234   |
+-------------------+-------------------+-------------------+

You don't need any pairs to do this, nor pencil marks:
The 7 in B8 is in R7.
Look at B1. 23 in C2 must be in B7.
Thus, R7C3 is 8. Puzzle solved.

Honest, Charlie, that's how I solved it.

(But, as I said, I was forewarned it could be solved with singles only.)

According to HoDoKu 2.1.1, there aren't any singles present in this grid -- naked or hidden. However, there is a Locked Candidate Type 2 for <2> in c2b7. After this, naked and hidden singles complete the puzzle.

Singles are considered different than Sets, but I don't recall why they're different. Sudopedia.org has all of the details if you're curious.

I also consider Singles as different from Sets because my solver's logic handles them differently.

Regards, Danny
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Oct 27, 2011 10:55 pm    Post subject: Reply with quote

An "easy" puzzle and initial grid from Simple Sudoku.

Code:
 *-----------*
 |...|21.|87.|
 |...|...|...|
 |4.1|.8.|53.|
 |---+---+---|
 |..5|6..|3.7|
 |...|5.2|...|
 |9.7|..3|1..|
 |---+---+---|
 |.14|.2.|6.8|
 |...|...|...|
 |.82|.67|...|
 *-----------*

 *-----------------------------------------------------------------------------*
 | 356     3569    369     | 2       1       4569    | 8       7       469     |
 | 235678  235679  3689    | 3479    34579   4569    | 249     12469   12469   |
 | 4       2679    1       | 79      8       69      | 5       3       269     |
 |-------------------------+-------------------------+-------------------------|
 | 128     24      5       | 6       49      1489    | 3       2489    7       |
 | 1368    346     368     | 5       479     2       | 49      4689    469     |
 | 9       246     7       | 48      4       3       | 1       24568   2456    |
 |-------------------------+-------------------------+-------------------------|
 | 357     1       4       | 39      2       59      | 6       59      8       |
 | 3567    35679   369     | 13489   3459    14589   | 2479    12459   123459  |
 | 35      8       2       | 1349    6       7       | 49      1459    13459   |
 *-----------------------------------------------------------------------------*

There is a Naked Single, r6c5=4. It is not a "solved cell" because there are <4> candidates still present in [b5], [c4], and [r6]. By comparison, the only <7> candidate in [b5] (or [r5]) is in r5c5, so it's a Hidden Single.


Ironically, if you take the grid and paste it into Simple Sudoku, then SS will erroneously treat r6c5=4 as a given and eliminate the <4> candidates in the other cells of [b5], [c5], [r6].

Code:
 *-----------*
 |...|21.|87.|
 |...|...|...|
 |4.1|.8.|53.|
 |---+---+---|
 |..5|6..|3.7|
 |...|5.2|...|
 |9.7|.43|1..|
 |---+---+---|
 |.14|.2.|6.8|
 |...|...|...|
 |.82|.67|...|
 *-----------*

 *-----------------------------------------------------------------------------*
 | 356     3569    369     | 2       1       4569    | 8       7       469     |
 | 235678  235679  3689    | 3479    3579    4569    | 249     12469   12469   |
 | 4       2679    1       | 79      8       69      | 5       3       269     |
 |-------------------------+-------------------------+-------------------------|
 | 128     24      5       | 6       9       189     | 3       2489    7       |
 | 1368    346     368     | 5       79      2       | 49      4689    469     |
 | 9       26      7       | 8       4       3       | 1       2568    256     |
 |-------------------------+-------------------------+-------------------------|
 | 357     1       4       | 39      2       59      | 6       59      8       |
 | 3567    35679   369     | 13489   359     14589   | 2479    12459   123459  |
 | 35      8       2       | 1349    6       7       | 49      1459    13459   |
 *-----------------------------------------------------------------------------*

Regards, Danny
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