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

Post puzzles for others to solve here.

Postby wapati » Sun Oct 15, 2006 2:59 am

Four biggish steps, for me.

Code: Select all
.45...23.
8...4...7
6..2.8..9
..34.69..
.8.....7.
..97.53..
5..8.9..3
2...3...5
.98...41.
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Postby daj95376 » Sun Oct 15, 2006 5:33 am

wapati wrote:'Nother one that takes me several big steps.:)

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

Code: Select all
    b2  -  6     Locked Candidate (1)
  c169  -  9     Swordfish
r3c4    <> 69    Unique Rectangle Type 1
r7c4    <> 7     XYZ-Wing on [r8c4]
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Postby daj95376 » Sun Oct 15, 2006 6:08 am

Code: Select all
# Crazy 8s
*-----------------------*
| 4 . 2 | . 3 . | 6 . . |
| 1 7 . | . . . | . 5 . |
| 3 . . | . . 6 | . 1 . |
|-------+-------+-------|
| . . . | . 9 . | 3 4 7 |
| . . . | 5 6 4 | . . . |
| 2 4 9 | . 7 . | . . . |
|-------+-------+-------|
| . 1 . | 2 . . | . . 4 |
| . 2 . | . . . | . 3 5 |
| . . 4 | . 1 . | 2 . 6 |
*-----------------------*
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Postby daj95376 » Sun Oct 15, 2006 6:24 am

Code: Select all
# What Fun
*-----------------------*
| 4 3 . | . . 6 | . 9 2 |
| 1 . 8 | . . 9 | . 7 . |
| 6 . . | . . . | . . . |
|-------+-------+-------|
| . . . | . 6 . | 4 . . |
| 9 . . | 7 . 8 | . . 6 |
| . . 4 | . 9 . | . . . |
|-------+-------+-------|
| . . . | . . . | . . 8 |
| . 4 . | 2 . . | 9 . 3 |
| 8 9 . | 6 . . | . 1 7 |
*-----------------------*
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What Fun

Postby Carcul » Sun Oct 15, 2006 9:05 am

Code: Select all
 *--------------------------------------------------------------*
 | 4      3      57    | 158    157    6    | 18     9      2   |
 | 1      25     8     | 345    235    9    | 6      7      45  |
 | 6      257    9     | 1458   1257   157  | 138    35     145 |
 |---------------------+--------------------+-------------------|
 | 2357   8      12357 | 135    6      1235 | 4      235    9   |
 | 9      15     1235  | 7      4      8    | 13     235    6   |
 | 235    6      4     | 135    9      1235 | 7      8      15  |
 |---------------------+--------------------+-------------------|
 | 23     157    6     | 9      1357   1357 | 25     4      8   |
 | 57     4      157   | 2      8      157  | 9      6      3   |
 | 8      9      23    | 6      35     4    | 25     1      7   |
 *--------------------------------------------------------------*

1. [r2c4]=3=[r2c5](=2=[r3c5])-3-[r79c5]=3=[r7c6]-{TILA(7): r1c3|r1c5|r7c5|r7c2|r3c2}.

So, r2c5<>3.

2. {ATILA(7): r1c3|r1c5|r3c5|r7c5|r7c2|r3c2},

and so r3c5=7.

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Postby wapati » Sun Oct 15, 2006 7:18 pm

daj95376 wrote:
Code: Select all
# What Fun


Great puzzle! (Added to my collection, thanks! )
wapati
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Location: Brampton, Ontario, Canada

Postby wapati » Sun Oct 15, 2006 10:50 pm

I see lots to do without chains, cool puzzle!

Code: Select all
Soaring Bird

. . . | . . . | . 4 2
. 5 . | . 2 3 | 1 . .
. . . | 9 . 7 | . . 6
---------------------
. . 5 | . 4 . | . 2 .
. 2 . | 1 7 . | . . .
. 3 1 | . . 8 | . . .
---------------------
. 7 . | . . . | 6 8 .
9 . . | 7 . . | 2 . 5
5 . 2 | . . . | . 3 .
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Postby wapati » Mon Oct 16, 2006 1:19 am

Hairy, below chins.:(
Code: Select all
..13...5.
.....7..9
5.4.61...
6....2.9.
..9....3.
.731....4
......8..
3..72..4.
.2...8...
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Postby daj95376 » Mon Oct 16, 2006 3:35 am

So little left, so much pain.

Code: Select all
*-----------------------*
| . . . | . 4 5 | 2 3 . |
| 8 3 . | . . . | . 6 . |
| . . 4 | . . . | 5 . . |
|-------+-------+-------|
| 3 . 2 | 4 . . | . . 9 |
| . 4 . | . . . | . 7 . |
| 1 . . | . . 6 | 8 . 5 |
|-------+-------+-------|
| . . 7 | . . . | 9 . . |
| . 8 . | . . . | . 2 1 |
| . 2 6 | 7 1 . | . . . |
*-----------------------*
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Postby wapati » Mon Oct 16, 2006 6:56 am

Daj, I so much dislike colours and chains that I just don't read threads that deal with them.

Carcul does brilliance, finding a single step to solve what takes me many, I like knowing that there is a better way, or simpler.

Daj, I am not sure why you are posting chain puzzles here?

I started this thread for puzzles that never need chains, yet need many patterns. I like that. Chains just do not do it, for me.

<sigh>
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Soaring Bird

Postby Carcul » Mon Oct 16, 2006 2:39 pm

Code: Select all
 *-------------------------------------------------------*
 | 13    189   3789 | 68    5     16   | 79    4     2   |
 | 6     5     79   | 4     2     3    | 1     79    8   |
 | 2     148   48   | 9     18    7    | 3     5     6   |
 |------------------+------------------+-----------------|
 | 78    69    5    | 3     4     69   | 78    2     1   |
 | 48    2     69   | 1     7     5    | 48    69    3   |
 | 47    3     1    | 2     69    8    | 5     679   479 |
 |------------------+------------------+-----------------|
 | 13    7     34   | 5     139   2    | 6     8     49  |
 | 9     468   3468 | 7     368   46   | 2     1     5   |
 | 5     1468  2    | 68    1689  1469 | 479   3     479 |
 *-------------------------------------------------------*

R7c5=3 or r9c2=4. But:

[r7c5]-3-[r8c5]=3=[r8c3]=6=[r5c3]=9=[r4c2]=6=[r4c6]-6-[r1c6]-1-
-[r3c5]-8-[r3c3]-4-[r7c3]-3-[r7c5],

and so r7c5<>3 => r9c2=4 and the puzzle is solved.
Alternatively:

[r7c5]=9=[r7c9]=4=[r7c3]-4-[r3c3]-8-[r3c5](-1-[r7c5])-1-[r1c6]-6-[r4c6]
=6=[r4c2]=9=[r5c3]=6=[r8c3]=3=[r8c5]-3-[r7c5],

which implies r7c5<>1,3 => r7c5=9 and the puzzle is solved.

Carcul
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Postby Carcul » Mon Oct 16, 2006 2:49 pm

Wapati wrote:Hairy, below chins


This puzzle is too easy:

Code: Select all
 *-----------------------------------------------------*
 | 7     6     1   | 3     8     9  | 4     5     2    |
 | 8     3     2   | 45    45    7  | 16    16    9    |
 | 5     9     4   | 2     6     1  | 3     7     8    |
 |-----------------+----------------+------------------|
 | 6     4     58  | 58    3     2  | 17    9     17   |
 | 1     58    9   | 568   7     4  | 2     3     56   |
 | 2     7     3   | 1     9     56 | 56    8     4    |
 |-----------------+----------------+------------------|
 | 49    15    567 | 4569  145   3  | 8     2     1567 |
 | 3     158   568 | 7     2     56 | 9     4     156  |
 | 49    2     567 | 4569  145   8  | 1567  16    3    |
 *-----------------------------------------------------*


{ATILA(5,6): r8c9|r5c9|r6c7|r6c6|r8c6}

and so r8c9 must be "1", solving the puzzle.

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Postby ravel » Mon Oct 16, 2006 3:09 pm

Carcul wrote:
Wapati wrote:Hairy, below chins
This puzzle is too easy:
Already forgot the remote pairs Wapati ?:)
ravel
 
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Postby Carcul » Mon Oct 16, 2006 3:25 pm

Daj95376 wrote:So little left, so much pain.


Code: Select all
 *--------------------------------------------------*
 | 7     9     1 | 6     4     5    | 2     3     8 |
 | 8     3     5 | 29    279   279  | 1     6     4 |
 | 2     6     4 | 138   38    138  | 5     9     7 |
 |---------------+------------------+---------------|
 | 3     5     2 | 4     78    78   | 6     1     9 |
 | 6     4     8 | 159   59    19   | 3     7     2 |
 | 1     7     9 | 23    23    6    | 8     4     5 |
 |---------------+------------------+---------------|
 | 45    1     7 | 2358  2358  2348 | 9     58    6 |
 | 459   8     3 | 59    6     49   | 7     2     1 |
 | 59    2     6 | 7     1     89   | 4     58    3 |
 *--------------------------------------------------*

[r3c4]=1=[r3c6]=3=[r7c6]-3-[r7c45]=3|5=[r7c45]-5-[r8c4]-9-[r2c4]-2-
-[r249c6]-9-[r5c6]-1-[r5c4]=1=[r3c4],

=> r3c4=1 and the puzzle is solved.

Carcul
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Postby ronk » Mon Oct 16, 2006 3:30 pm

Carcul wrote:{ATILA(5,6): r8c9|r5c9|r6c7|r6c6|r8c6}

and so r8c9 must be "1", solving the puzzle.

Looks a lot like overlapping turbot fish.
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