Fun puzzle. So many methods to solve. No CHAINS required.

Post puzzles for others to solve here.

Postby wapati » Thu Oct 26, 2006 5:44 am

Busy busy.

Code: Select all
. . 1 | . . . | . 7 .
. 6 . | . 2 . | 5 . 3
4 . . | . . 6 | 9 8 .
---------------------
. . . | 6 7 . | 8 . .
. 8 . | 9 . 3 | . 4 .
. . 7 | . 4 8 | . . .
---------------------
. 9 6 | 4 . . | . . 8
1 . 8 | . 6 . | . 3 .
. 2 . | . . . | 7 . .
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Postby wapati » Thu Oct 26, 2006 6:27 am

Not as busy.

Code: Select all
. 7 . | 6 . . | . . 5
6 . . | . 4 . | 8 7 .
. . 8 | . . 5 | . 4 .
---------------------
7 . . | . 9 . | 3 . .
. 2 . | 7 . 4 | . 6 .
. . 6 | . 2 . | . . 9
---------------------
. 6 . | 4 . . | 2 . .
. 1 2 | . 5 . | . . 6
9 . . | . . 1 | . 8 .
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Postby Carcul » Thu Oct 26, 2006 9:31 am

Wapati wrote:Busy busy.


This puzzle is too easy:

Code: Select all
 *-------------------------------------------------------*
 | 2     35    1    | 358   89    59  | 46    7     46   |
 | 8     6     9    | 7     2     4   | 5     1     3    |
 | 4     7     35   | 135   15    6   | 9     8     2    |
 |------------------+-----------------+------------------|
 | 359   1345  2345 | 6     7     125 | 8     259   15   |
 | 56    8     25   | 9     15    3   | 126   4     7    |
 | 569   15    7    | 125   4     8   | 3     2569  156  |
 |------------------+-----------------+------------------|
 | 7     9     6    | 4     3     125 | 12    25    8    |
 | 1     45    8    | 25    6     7   | 24    3     9    |
 | 35    2     345  | 158   89    159 | 7     56    1456 |
 *-------------------------------------------------------*

R1c2=5 or r8c2=5, which implies that r9c6 must be “1” and the puzzle is solved.

Carcul
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Postby Carcul » Thu Oct 26, 2006 10:23 am

Wapati wrote:Not as busy.


Another easy puzzle:

Code: Select all
 *------------------------------------------------------*
 | 234   7     34   | 6     138   238 | 19    39    5   |
 | 6     359   135  | 139   4     23  | 8     7     123 |
 | 123   39    8    | 139   7     5   | 6     4     123 |
 |------------------+-----------------+-----------------|
 | 7     58    15   | 158   9     6   | 3     2     4   |
 | 35    2     9    | 7     13    4   | 15    6     8   |
 | 1345  3458  6    | 1358  2     38  | 7     15    9   |
 |------------------+-----------------+-----------------|
 | 358   6     357  | 4     38    9   | 2     15    137 |
 | 348   1     2    | 38    5     7   | 49    39    6   |
 | 9     345   3457 | 2     6     1   | 45    8     37  |
 *------------------------------------------------------*

ALS xz-rule: A(1,3,8,9) = r238c4, B(1,3,8) = r57c5, x = 8, z = 1, => r1c5<>1 solving the puzzle.

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Postby wapati » Thu Oct 26, 2006 5:10 pm

Carcul wrote:R1c2=5 or r8c2=5, which implies that r9c6 must be “1” and the puzzle is solved.
Carcul


This is because of a potential UR at r3c1 r3c3 and r9c1 r9c3?
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Postby Carcul » Thu Oct 26, 2006 9:06 pm

Wapati wrote:This is because of a potential UR at r3c1 r3c3 and r9c1 r9c3?


No: there is no potential UR in those cells.

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Postby ravel » Thu Oct 26, 2006 9:31 pm

Wapati, did you mean this grid ?
Code: Select all
 *-------------------------------------------------------*
 | 2     35    1    | 358   89    59  | 46    7     46   |
 | 8     6     9    | 7     2     4   | 5     1     3    |
 | 4     7     35   | 135   15    6   | 9     8     2    |
 |------------------+-----------------+------------------|
 | 359   1345  2345 | 6     7     125 | 8     259   15   |
 | 56    8     25   | 9     15    3   | 126   4     7    |
 | 569   15    7    | 125   4     8   | 3     2569  156  |
 |------------------+-----------------+------------------|
 | 7     9     6    | 4     3     125 | 12    25    8    |
 | 1     45    8    | 25    6     7   | 24    3     9    |
 | 35    2     345  | 158   89    159 | 7     56    1456 |
 *-------------------------------------------------------*
I saw it this way:
Carcul wrote:R1c2=5 or r8c2=5, which implies that r9c6 must be "1" and the puzzle is solved.

r1c2=3 & r8c2=4 => (UR1 15 in r46c39) r6c9=6 => r1c9=4 => r9c9<>4 => r8c7=4
=> r1c2=5 | r8c2=5
=> r6c2=1 => (turbot fish in cells r4c6,r5c57,r7c67) r5c5=1 (=> r7c6=1) => r3c4=1 => r9c6=1

Whats yours, Carcul?
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Postby wapati » Thu Oct 26, 2006 11:58 pm

This one has many patterns. I am curious as to whether Carcul finds it trivial. It may be that the more patterns the easier chains become?

Code: Select all
. . . | . 8 . | 9 . 6
. . . | 7 . . | . 4 .
. . . | . . 4 | 7 . 2
---------------------
. 6 . | . 9 . | 1 . .
8 . . | 2 . 6 | . . 4
. . 4 | . 5 . | . 9 .
---------------------
1 . 3 | 6 . . | . . .
. 2 . | . . 3 | . . .
6 . 5 | . 2 . | . . .
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Postby wapati » Fri Oct 27, 2006 12:16 am

ravel wrote:Wapati, did you mean this grid ?
Code: Select all
 *-------------------------------------------------------*
 | 2     35    1    | 358   89    59  | 46    7     46   |
 | 8     6     9    | 7     2     4   | 5     1     3    |
 | 4     7     35   | 135   15    6   | 9     8     2    |
 |------------------+-----------------+------------------|
 | 359   1345  2345 | 6     7     125 | 8     259   15   |
 | 56    8     25   | 9     15    3   | 126   4     7    |
 | 569   15    7    | 125   4     8   | 3     2569  156  |
 |------------------+-----------------+------------------|
 | 7     9     6    | 4     3     125 | 12    25    8    |
 | 1     45    8    | 25    6     7   | 24    3     9    |
 | 35    2     345  | 158   89    159 | 7     56    1456 |
 *-------------------------------------------------------*
I saw it this way:
Carcul wrote:R1c2=5 or r8c2=5, which implies that r9c6 must be "1" and the puzzle is solved.

r1c2=3 & r8c2=4 => (UR1 15 in r46c39) r6c9=6 => r1c9=4 => r9c9<>4 => r8c7=4
=> r1c2=5 | r8c2=5
=> r6c2=1 => (turbot fish in cells r4c6,r5c57,r7c67) r5c5=1 (=> r7c6=1) => r3c4=1 => r9c6=1

Whats yours, Carcul?


Thanks ravel. I don't "read" chains but I did see that you showed Carcul's 1st premise is true, on the 5s. Why that makes r9-c6 a 1, I don't get, in the trivial sense. If it makes it a one with some work, ok, I was trying to see why the chain is easy, in fact, was there a chain involved in Carcul's answer?

Editing was spelling, I spiel poorly.:(
Last edited by wapati on Thu Oct 26, 2006 8:23 pm, edited 2 times in total.
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Postby wapati » Fri Oct 27, 2006 12:19 am

This one is also pattern "loaded".

Code: Select all
. . . | 1 . . | 6 . .
. 4 . | 5 6 7 | . 2 .
. . . | . 8 . | . . 4
---------------------
4 5 . | . . . | . 6 .
. 2 1 | . . . | 4 8 .
. 3 . | . . . | . 9 2
---------------------
9 . . | . 7 . | . . .
. 6 . | 9 4 2 | . 7 .
. . 2 | . . 3 | . . .
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Postby Carcul » Fri Oct 27, 2006 8:45 pm

Wapati wrote:This one has many patterns. I am curious as to whether Carcul finds it trivial. It may be that the more patterns the easier chains become?


Here's the first solution I found:

Code: Select all
 *--------------------------------------------------------*
 | 47    47    12   | 135   8     125  | 9     135   6    |
 | 359   1358  1268 | 7     136   1259 | 358   4     135  |
 | 359   1358  168  | 1359  136   4    | 7     1358  2    |
 |------------------+------------------+------------------|
 | 35    6     7    | 4     9     8    | 1     2     35   |
 | 8     1359  19   | 2     13    6    | 35    7     4    |
 | 2     13    4    | 13    5     7    | 6     9     8    |
 |------------------+------------------+------------------|
 | 1     4789  3    | 6     47    59   | 2     58    79   |
 | 47    2     89   | 1589  47    3    | 58    6     19   |
 | 6     789   5    | 189   2     19   | 4     13    1379 |
 *--------------------------------------------------------*

[r9c8]=3=[r9c9]-3-[r4c9]=3=[r4c1]-3-[r23c1]-5-[r236c2]-8-[r7c2]=8=
=[r7c8](=5=[r7c6]-5-[r2c6])=5=[r13c8]-5-[r2c79]=5=[r2c1]=9=[r2c6]-
-9-[r9c6]-1-[r9c8], => r9c8<>1 solving the puzzle.

Carcul
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Postby wapati » Mon Oct 30, 2006 3:11 am

ronk wrote:wapati, since most of the solutions being presented here use chains, I think you should remove the "NO CHAINS required" from the thread title ... like it was before.


Ronk, I started the thread and I don't post puzzles with chains.

Any thread that anyone starts, if it drifts, is the originator to change the thread subject?

You should probably take a pill and chill.


For people who post chains in this thread?

I like to see your solutions, I'd prefer that puzzles posted do not require chains.
Last edited by wapati on Mon Oct 30, 2006 7:56 am, edited 1 time in total.
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Postby Carcul » Mon Oct 30, 2006 10:31 am

Wapati wrote:I'd prefer that puzzles posted do not require chains.


1. But, aren't the puzzles created by you? So you don't know how to solve your own puzzles? I thought that you were posting puzzles that you already know how to solve without chains.

2. So your purpose is to post puzzles and then wait for others to solve them without chains? In that case you should really change the title of this thread.

3. Again, by posting a solution with chains doesn't mean that chains are required. There are always several ways of doing the same.

4. I don't solve your puzzles without chains because I don't see any challenge in that.

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Postby ronk » Mon Oct 30, 2006 10:56 pm

wapati wrote:Any thread that anyone starts, if it drifts, is the originator to change the thread subject?

You should probably take a pill and chill.

wapati wrote:Ronk, you are a busybody who should mind his own business.

If you are a moderator, learn moderation. You stiffle the air we speak.

Ad hominem, being neither an appeal to logic nor reason, is seldom constructive.
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Postby wapati » Wed Nov 01, 2006 5:51 am

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