## CHAINS, not required. Good puzzles.

Post puzzles for others to solve here.
Carcul wrote:[r9c7]-5-[r7c5689]-2-[r8c7]=2=[r4c7](-2-[r6c89]-6-[r6c3]=6=[r8c3])-2-
-[r4c16]-5-[r89c1]=5=[r9c2]-5-[r9c7], => r9c7<>5 and the puzzle is solved.
I recommend to write it as
[r9c7]-5-[r89c2|r8c3]=5=[r9c2]-2-[r9c7]
Otherwise it is too obvious for nearly everybody
Last edited by ravel on Sat Feb 24, 2007 9:50 am, edited 1 time in total.
ravel

Posts: 998
Joined: 21 February 2006

Wapati wrote:I was going to toss this one, no big fish. It is quite hard and I think it deserves attention.

Code: Select all
` *--------------------------------------------------------* | 2     45    3457 | 47    1     67   | 39    4569  8    | | 47    348   9    | 5     247   2678 | 1     246   234  | | 1     6     458  | 3     9     28   | 24    7     245  | |------------------+------------------+------------------| | 3     7     1    | 9     8     4    | 6     25    25   | | 6     489   48   | 2     3     5    | 7     49    1    | | 59    245   245  | 17    6     17   | 8     3     49   | |------------------+------------------+------------------| | 59    1     2457 | 6     247   3    | 24    8     2479 | | 47    234   6    | 8     247   9    | 5     1     2347 | | 8     249   2347 | 147   5     127  | 39    249   6    | *--------------------------------------------------------*`

1. [r2c5]-7-[r78c5]-2,4-[r9c46], => r2c5<>7.

2. [r1c2](-4-[r1c4]=4=[r9c4]-4-[r7c5])-4-[r25c2]-9-[r9c2]=9=[r9c8]-9-[r7c9]=9|5=[r3c9]-5-[r3c3]=5=[r1c2], => r1c2<>4 and the puzzle is solved.

Carcul
Carcul

Posts: 724
Joined: 04 November 2005

With [r1c2]-4-[r25c2]-9 (suppose by use of the UR 17) there is obviously a shorter chain.
ravel

Posts: 998
Joined: 21 February 2006

This one is hard with patterns. SE rates it not too bad, using chains and a cycle.

Code: Select all
`. 5 . | . . . | . . 23 . . | . . 2 | 9 7 .. . 7 | . . 5 | 1 3 .---------------------. . . | . 7 8 | 6 2 .. . . | 4 . 9 | . . .. 7 5 | 1 2 . | . . .---------------------. 6 4 | 3 . . | 2 . .. 8 1 | 2 . . | . . 39 . . | . . . | . 4 .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Too many givens, perhaps. Hard to solve though!

Code: Select all
`6 . 4 | . 3 . | . 7 .. 5 . | 7 . 4 | . . 27 . . | 8 . . | 4 . .---------------------. 1 7 | 5 . . | . 4 .2 . . | . . . | . . 7. 6 . | . . 8 | 2 1 .---------------------. . 6 | . . 9 | . . 51 . . | 6 . 5 | . 2 .. 2 . | . 8 . | 1 . 4`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

2 less givens, a bit easier. (Not easy, tho)

Code: Select all
`. . 4 | 3 . . | 1 . 2. . . | . . . | . 6 .3 . 6 | . . 2 | 9 . 4---------------------6 . . | 7 8 . | 5 . .. . . | 1 . 3 | . . .. . 5 | . 2 9 | . . 1---------------------9 . 1 | 2 . . | 3 . 6. 6 . | . . . | . . .2 . 7 | . . 6 | 4 . .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

There are a few Sashimi Swords to deal with.

Code: Select all
`1 2 . | . 4 . | . . .7 4 . | 9 . 5 | . . .. . 9 | . . 2 | . . .---------------------. 8 . | . 3 . | 9 1 .6 . . | 4 . 9 | . . 5. 9 1 | . 2 . | . 4 .---------------------. . . | 2 . . | 3 . .. . . | 3 . 1 | . 5 9. . . | . 9 . | . 2 4`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Wapati wrote:This one is hard with patterns. SE rates it not too bad, using chains and a cycle.

Code: Select all
` *-------------------------------------------------------------* | 168    5      689 | 6789   13468  3467 | 48     68     2    | | 3      14     68  | 68     14     2    | 9      7      5    | | 268    249    7   | 689    468    5    | 1      3      468  | |-------------------+--------------------+--------------------| | 14     39     39  | 5      7      8    | 6      2      14   | | 1268   12     268 | 4      36     9    | 3578   15     178  | | 468    7      5   | 1      2      36   | 348    89     489  | |-------------------+--------------------+--------------------| | 57     6      4   | 3      89     17   | 2      15     89   | | 57     8      1   | 2      469    46   | 57     69     3    | | 9      23     23  | 678    5      167  | 78     4      1678 | *-------------------------------------------------------------*`

[r5c7]=3=[r6c7]=4=[r1c7](-4-[r3c9])-4-[r1c6]=4=[r8c6]-4-[r8c5]=4=
=[r3c5]-4-[r2c5]-1-[r2c2]=1=[r5c2]-1-[r5c89](-5-[r5c7])-5-[r7c8]-1-
-[r9c9]-6-[r8c8]-9-[r6c8](-8-[r5c7])-8-[r5c9]-7-[r5c7], => r5c7<>5,7,8 => r5c7=3 and the puzzle is solved.

Carcul
Carcul

Posts: 724
Joined: 04 November 2005

Please explain [r8c5]=4=[r3c5]-4 (why not r2c5 ?)
ravel

Posts: 998
Joined: 21 February 2006

Finned-x, finned sword and xyz patterns.

Code: Select all
`. 7 6 | . . 9 | . . .1 8 3 | . 2 . | . . .5 4 . | . . . | . . .---------------------. . . | . 1 4 | . . 2. 5 . | 3 . 2 | . 4 .9 . . | 6 5 . | . . .---------------------. . . | . . . | . 1 5. . . | . 3 . | 4 9 7. . . | 7 . . | 3 2 .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

This is the hardest puzzle I have generated, using Ruud's Soducue Cue,
that I can solve with patterns.

I have a question about UR, I used it here in an odd way, and I ask whether it is valid, or I got lucky!

Original:

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

I chewed at it and got to this:

Code: Select all
`.---------------.---------------.-------------------.| 236  236  4   | 238  7    238 |  9     1     5    || 9    5    7   | 34   6    1   |  2     48    348  || 8    23   1   | 9    5    234 |  34    6     7    |:---------------+---------------+-------------------:| 5    236  8   | 234  1    7   |  46    9     246  || 24   7    9   | 5    24   6   | *18    3    *18   || 2346 1    36  | 2348 9    238 |  5     7     246  |:---------------+---------------+-------------------:| 7    4    36  | 16   28   5   |  136   28    9    || 16   89   2   | 7    3    49  | *18+46  5   *18+46|| 136  89   5   | 16   248  249 |  7     248   136  |'---------------'---------------'-------------------'`

Looking at the 46s revealed in r8c79 can I say that r4c9 must be 2?

What would I call that?
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Next hardest Puzzle that Ruud has made for me, that I can solve.

SE does like it better. All patterns without fins!

Code: Select all
`. . . | . 6 . | . 1 8. . . | . . 2 | . 3 9. . . | 1 . 9 | . . .---------------------. . 4 | . 2 . | 1 8 .6 . . | 8 . 4 | . . 7. 5 2 | . 1 . | 4 . .---------------------. . . | 2 . 7 | . . .2 8 . | 6 . . | . . .1 7 . | . 3 . | . . .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

wapati wrote:I chewed at it and got to this:

Code: Select all
`.---------------.---------------.-------------------.| 236  236  4   | 238  7    238 |  9     1     5    || 9    5    7   | 34   6    1   |  2     48    348  || 8    23   1   | 9    5    234 |  34    6     7    |:---------------+---------------+-------------------:| 5    236  8   | 234  1    7   |  46    9     246  || 24   7    9   | 5    24   6   | *18    3    *18   || 2346 1    36  | 2348 9    238 |  5     7     246  |:---------------+---------------+-------------------:| 7    4    36  | 16   28   5   |  136   28    9    || 16   89   2   | 7    3    49  | *18+46  5   *18+46|| 136  89   5   | 16   248  249 |  7     248   136  |'---------------'---------------'-------------------'`

Looking at the 46s revealed in r8c79 can I say that r4c9 must be 2?

What would I call that?

I'm not sure you can do that... The UR of {18} just concludes that r8c79 must be {14|46|68} and because it doesn't have to be {46}, I don't see how you can deduce r4c9=2...
udosuk

Posts: 2698
Joined: 17 July 2005

wapati wrote:This is the hardest puzzle I have generated, using Ruud's Soducue Cue,
that I can solve with patterns.

I have a question about UR, I used it here in an odd way, and I ask whether it is valid, or I got lucky!

Original:

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

I chewed at it and got to this:

Code: Select all
`.---------------.---------------.-------------------.| 236  236  4   | 238  7    238 |  9     1     5    || 9    5    7   | 34   6    1   |  2     48    348  || 8    23   1   | 9    5    234 |  34    6     7    |:---------------+---------------+-------------------:| 5    236  8   | 234  1    7   |  46    9     246  || 24   7    9   | 5    24   6   | *18    3    *18   || 2346 1    36  | 2348 9    238 |  5     7     246  |:---------------+---------------+-------------------:| 7    4    36  | 16   28   5   |  136   28    9    || 16   89   2   | 7    3    49  | *18+46  5   *18+46|| 136  89   5   | 16   248  249 |  7     248   136  |'---------------'---------------'-------------------'`

Looking at the 46s revealed in r8c79 can I say that r4c9 must be 2?

What would I call that?

I agree with udosuk. The only exclusion I see related to that UR (without any chains) is that the strong link on 8 in c7 implies that r8c9<>1.
re'born

Posts: 551
Joined: 31 May 2007

notes.

the move he shows and tries to explained is identical to a move ive been working with and trying to explain (but failing misserably once again due to way to many digits to exlude.) to solve me and mikes 11.4 rated puzzle

the idea is:
two rectangles are directly linked and you can't check 4 values as either holds a corner of the rectangles in place, this reduces/identifies a single corner as the only plausable location of a single valid number not found in both rectangles.

in this case the 2.

# = 46 rectangle
* = 18 rectangle
% = corner with a number not held in either as 1468 are all directly locked together.

r4c9 = 2

Code: Select all
`.---------------.---------------.-------------------. | 236  236  4   | 238  7    238 |  9     1     5    | | 9    5    7   | 34   6    1   |  2     48    348  | | 8    23   1   | 9    5    234 |  34    6     7    | :---------------+---------------+-------------------: | 5    236  8   | 234  1    7   |  46#    9     246#%  | | 24   7    9   | 5    24   6   | *18    3    *18   | | 2346 1    36  | 2348 9    238 |  5     7     246  | :---------------+---------------+-------------------: | 7    4    36  | 16   28   5   |  136   28    9    | | 16   89   2   | 7    3    49  | *18+46#  5   *18+46#| | 136  89   5   | 16   248  249 |  7     248   136  | '---------------'---------------'-------------------'`
Last edited by StrmCkr on Tue Feb 27, 2007 7:03 am, edited 1 time in total.
Some do, some teach, the rest look it up.

StrmCkr

Posts: 781
Joined: 05 September 2006

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