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Puzzle Solving Techniques74 posts • Page 1 of 3 • 1 2 3
@ 2014-02-14 12:06 AM (#14311 - in reply to #14293) (#14311) Top

kishy72



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kishy72 posted @ 2014-02-14 12:06 AM

Deducing that R7C8 is a number is what I failed to notice.There was no further gimmicks in the puzzle after that and I quickly took it to completion.Thanks.....

prasanna16391 - 2014-02-13 5:20 AM

Other than what Rakesh and witty have said, I'll just add that your notation seems a bit counter-productive if you have to erase one of the Ns each time you fix a number. Obviously it's good to keep what suits you best. I personally circle the cells which I know will contain a number. Then I just fill in said number into the circle.


A very valid point that you have brought up.For one I would never use this notation in a competition scenario with time constraints.My goal here was obviously to complete the puzzle and not worry about the time that it might take to complete.I don't think that I am competent yet to complete many of the puzzle genres by myself without help or spoilers.So notation is something which looked secondary at that point to me.But I understand that notations are integral to a puzzle without which one can forget about improving and I will certainly seek to improve in this puzzle type by circling the cells which have numbers !
So continuing with the posting spree ,here is another left out puzzle from the Grand prix which despite my dedicated effort seemed far too out of reach and I am not surprised since I rarely solve a pentomino puzzle .All that I could deduce in this puzzle was that the blank cell in C4 is located somewhere between R5 and R8 and similarly the blank cell in R8 is between C1 and C4.What is the precise logical sequence that needs to be used here that makes this puzzle fall apart?!

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Edited by kishy72 2014-02-14 12:07 AM
@ 2014-02-14 2:47 AM (#14313 - in reply to #14311) (#14313) Top

kiwijam



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kiwijam posted @ 2014-02-14 2:47 AM

kishy72 - 2014-02-14 7:06 AM

All that I could deduce in this puzzle was that the blank cell in C4 is located somewhere between R5 and R8 and similarly the blank cell in R8 is between C1 and C4.What is the precise logical sequence that needs to be used here that makes this puzzle fall apart?!



1) You can go further with column 4. There's only one place in the column that can be empty to give 4 different pentominoes. So you can fill in all cells of column 4 at the start.
2) Your row 8 is not correct. Start with looking at that row only, you can only learn that C2 and C3 are filled. All other cells might be empty (remember there is a U-shaped pentomino for C8 and C12).
3) And your line down the bottom is too long. The central cell is filled, but you don't know yet about the cells beside it.

But the biggest hint I have for this puzzle (and other puzzle types like Camping or Battleships when missing a single clue) is that you know that the number of shaded cells must be 12x5=60, so add up the clues along the left. Whatever's left will be the clue for R7. Similarly, subtract the top clues from 60 to get the C7 clue. Easier now?
@ 2014-04-25 8:07 PM (#15104 - in reply to #14313) (#15104) Top

kishy72



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kishy72 posted @ 2014-04-25 8:07 PM

Parallel Universe II - Looks like a very tough puzzle test .Thought it would be unwise to give the test without solving the practice puzzles.So coming to the point ,can someone kindly show me the continuation in this Akichiwake Puzzle and are there any general strategies for this puzzle type?(like looking for specific clues or spots to start and proceed smoothly etc.,).It was not before spending close to 45-50 mins that I reached this stuck point....I would be glad if ideas are provided for Fill-other mino and Hypermetropic Pentominoes too.I keep breaking Fill-other mino puzzle repeatedly and the solution doesn't seem to be of much help to me in understanding how to go about the puzzle.
----Kishore----



Edited by Fred76 2014-04-25 8:35 PM
@ 2014-04-25 8:38 PM (#15105 - in reply to #15104) (#15105) Top

Fred76




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Fred76 posted @ 2014-04-25 8:38 PM

Oops, sorry !
I edited your post, thinking that it was the tournament's puzzle, and after I noticed the puzzle was from the practice material.
@ 2014-04-25 9:01 PM (#15107 - in reply to #15104) (#15107) Top

prasanna16391



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prasanna16391 posted @ 2014-04-25 9:01 PM

kishy72 - 2014-04-25 8:07 PM

Parallel Universe II - Looks like a very tough puzzle test .Thought it would be unwise to give the test without solving the practice puzzles.So coming to the point ,can someone kindly show me the continuation in this Akichiwake Puzzle and are there any general strategies for this puzzle type?(like looking for specific clues or spots to start and proceed smoothly etc.,).It was not before spending close to 45-50 mins that I reached this stuck point....I would be glad if ideas are provided for Fill-other mino and Hypermetropic Pentominoes too.I keep breaking Fill-other mino puzzle repeatedly and the solution doesn't seem to be of much help to me in understanding how to go about the puzzle.
----Kishore----



You seem to have missed the "consecutive boundaries" rule in many places. Maybe you missed this entirely while solving? Some examples - R2C2 (coz of the two boundaries to the right), R1C4, R1C6, R6C10, R7C3.

I hope you're considering the "base rules" on each page for all of "their universe" variants too. If so, and you're still getting stuck on the practice, feel free to post images. Much easier that way.

General strategy, hmm... Akichiwake is a new type. But its based on the two-consecutive boundaries rule/connected white area constraint of the Heyawake type. As of now you haven't encountered either of these in your solve yet, seemingly. Once you do, you'll see how these restrict together. E.g. - Once you shade in R6C10, you need to avoid that entire diagonally connected group of shaded cells from touching the grid edge anywhere else.
@ 2014-04-25 9:06 PM (#15108 - in reply to #1525) (#15108) Top

prasanna16391



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prasanna16391 posted @ 2014-04-25 9:06 PM

For Fill-Other-Mino,
The clues with 4 separate digits, or the edge clues with 3 separate digits are obviously going to be a polyomino of size "1". You also get 3/4 different polyominos adjacent to these clues. The rest of the steps are more complex, but just pointing out a basic start in case you've missed a rule here.
@ 2014-04-26 4:22 PM (#15117 - in reply to #15107) (#15117) Top

kishy72



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kishy72 posted @ 2014-04-26 4:22 PM

prasanna16391 - 2014-04-25 9:01 PM

You seem to have missed the "consecutive boundaries" rule in many places. Maybe you missed this entirely while solving? Some examples - R2C2 (coz of the two boundaries to the right), R1C4, R1C6, R6C10, R7C3.



Yes I missed the consecutive boundaries rule completely.Thanks very much for the ideas.I will try using them in the test.
@ 2014-04-27 7:26 PM (#15133 - in reply to #15117) (#15133) Top

kishy72



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kishy72 posted @ 2014-04-27 7:26 PM

Parallel Universe II ---That was a lovely set of puzzles.This being an open forum I will cut myself short right there.
Moving on,here are 2 puzzle genres that are present in the ongoing GP Puzzle round 4.The Prime place puzzle was something where initially I wasn't too flustered with the rules,but after seeing the queries asked in the forum of World puzzle org regarding this(and there seems to be so many) ,I am sure there won't be any who is more confused with the rules now than myself.The first is a prime place puzzle and the second is a Japanese loop puzzle where I am unable to make a start (both taken from the blog maybe puzzles).So dear LMIans, if someone has a very good idea or strategy to tackle these puzzles kindly post here.

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@ 2014-04-28 3:05 PM (#15138 - in reply to #15133) (#15138) Top

prasanna16391



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prasanna16391 posted @ 2014-04-28 3:05 PM

I tried that Prime Place and broke it, so maybe I'm misunderstanding the rules. I just thought the converse part of it applies too.. I guess it does. Maybe I went wrong somewhere. But remember that by the rules, since all diagonal lines are given, all isolated cells must contain a diagonal line in the direction of their isolation (e.g. the one non-parallel line is in what I'd call an isolated cell in the direction of that line) in order to contain prime digits.
@ 2014-04-29 5:39 AM (#15146 - in reply to #15138) (#15146) Top

chaotic_iak




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chaotic_iak posted @ 2014-04-29 5:39 AM

Prime Place is inherently tough. It has quite a lot of rules (I see you forgot about "connected horizontal/vertical lines must sum to a prime", which immediately deduces R1C3, R3C1, R3C5, R5C3 as primes), and a lot of bruteforcing (for example, a nonprime and a nonprime that sums to a nonprime must be both 4s like R4C1 and R5C2; also when you've identified that R1C3, R2C2, R3C1 are prime, nonprime, prime in that order, and they sum up to a prime, by bruteforce you can find that R2C2 is 1 and R1C3 and R3C1 are equal). I find a rather nice path without too much bruteforcing, which resorts to counting the 3s. Those should be sufficient hints for now?
@ 2014-04-29 5:56 AM (#15147 - in reply to #1525) (#15147) Top

swaroop2011




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swaroop2011 posted @ 2014-04-29 5:56 AM

for japanese loop i can see the start at 7 7 7.
as each needs to be two cells. there is only one way to do
then it should be good to go. :)
@ 2014-05-18 10:53 PM (#15317 - in reply to #1525) (#15317) Top

kishy72



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kishy72 posted @ 2014-05-18 10:53 PM

Invariably the following sequence happens when I see a Nurikabe puzzle in a test and it is becoming more of a nuisance to me :
1)The puzzle is attempted.
2)A lot of time is spent(wasted) on the puzzle .
3)The puzzle is left incomplete .............

This is one of the toughest puzzle genres that I have seen .The puzzle below looks very cruel and I am hopelessly lost in it.I tried to see if only certain numbers can reach some spots to avoid 2X2 oceans.There is nothing of that sort here.The shaded cell connectivity rule is also not of much help.A shaded cell maybe at R3C5 using the above rule?!Not too sure on that.So what is the approach to be used to complete this puzzle and in general what line of thinking is to be adopted while solving a Nurikabe puzzle where in most cases no logical deduction looks immediately apparent?

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Edited by kishy72 2014-05-18 10:53 PM
@ 2014-05-19 12:38 AM (#15318 - in reply to #15317) (#15318) Top

ashaash11ash



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ashaash11ash posted @ 2014-05-19 12:38 AM

As u Kishy72 R3C5 wil be a shaded cell... if not how wil the shaded cell at R3C6 wil join the other shaded cells.. no way for it to join other... Other thing is R1C1 and R2C1 wil be shaded as not island can go to it... Aftr which R3C2 will be a part of the island 3 or else it wil form a 2*2 shaded square. and after R3C1 wil be shaded or else the shaded part above it wil be blocked.... U can try aftr tht... if at all u r stuck u can still post.. :P
@ 2015-08-16 12:28 AM (#19049 - in reply to #1525) (#19049) Top

kishy72



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kishy72 posted @ 2015-08-16 12:28 AM

So, I was solving some Slitherlink puzzles in the hope to get in some kind of 'shape' before Puzzle Ramayan.The following is taken from Round 2 of Puzzle GP(Slovak Round).This themed slitherlink based on 1 had me clueless for a long time.After having tried several uncharted paths which got me nowhere , I tried using intuition (if I may be allowed to call what I implemented that way) : a concept which continues to baffle me and makes me wonder how people use it successfully and if it would ever help in my case , I lost hope on my futile attempts and decided to seek help here.So, if someone can show me light that would help me go until the very end,I will be thankful.

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Edited by kishy72 2015-08-16 12:29 AM
@ 2015-08-16 6:33 AM (#19050 - in reply to #1525) (#19050) Top

swaroop2011




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swaroop2011 posted @ 2015-08-16 6:33 AM

Hi kishore that one even i got stuck but not at this point, I do got little progress. So I can at least tell you till that point. Bit difficult to explain but will try to keep it simple.
Notation: 9 rows and 9 columns for dots and 8 rows and 8 columns for clues. I will specify if it indicates clue and rest all will be for dots.

1) There will be line from r6c1 to r7c1 and to similar logic there will be line from r9c3 to r9c4.
2) So above step gives crosses at r5c1 to r5c2 and r5c2 to r5c3, r4c2 to r5c2 and r5c2 to r6c2.
3) Also there are crosses at r8c6 to r9c6, r4c8 to r4c9 , r3c8 to r3c9, r2c8 to r2c9, r1c8 to r2c8, r1c7 to r2c7
4) Now there will be line either from r4c2 to r4c4 or r3c3 to r5c3 to satisfy the r4c2 clue. So that gives crosses at r4c4 to r5c4 and r5c3 to r5c4.
5) Similar logic for clue at r7c2, there will be crosses r6c3 to r6c4 and r6c4 to r7c4.
6) This immediately gives crosses at, r5c4 to r6c4, r5c4 to r5c5 and r6c4 to r6c5.
7) So that gives line from r3c3 to r6c3. Also a line from r7c2 to r7c3.

Hope this helps and takes you few steps further.
If anyone has better start or logic please do let us know :)
@ 2015-08-16 2:56 PM (#19051 - in reply to #19050) (#19051) Top

kishy72



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kishy72 posted @ 2015-08-16 2:56 PM

Thanks Swaroop for explaining painstakingly and with full lucidity.These helped me a lot and I could complete the puzzle.But sadly,I could not use much of logic even after this which has to do with my own deficiency and completed it after one of my guess paths turned out to be lucky. Thanks again!
@ 2015-08-16 3:49 PM (#19052 - in reply to #19051) (#19052) Top

prasanna16391



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prasanna16391 posted @ 2015-08-16 3:49 PM

kishy72 - 2015-08-16 2:56 PM

Thanks Swaroop for explaining painstakingly and with full lucidity.These helped me a lot and I could complete the puzzle.But sadly,I could not use much of logic even after this which has to do with my own deficiency and completed it after one of my guess paths turned out to be lucky. Thanks again!


I remember that I guessed on this Slitherlink in competition and couldn't find a path later beyond a certain point either.
@ 2015-08-16 11:58 PM (#19057 - in reply to #1525) (#19057) Top

ghirsch



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ghirsch posted @ 2015-08-16 11:58 PM

Could anyone give me some tips for how to approach the Fillomino Stars from the IPC last week? I found the threes in the top-left corner and the two stars in the third column, but I couldn't find anything else to do.

(Also, how do you attach a picture to a forum post here? I could upload the grid with what I have done so far.)

Edited by ghirsch 2015-08-17 12:00 AM
@ 2015-08-17 12:42 AM (#19058 - in reply to #19057) (#19058) Top

kishy72



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kishy72 posted @ 2015-08-17 12:42 AM

ghirsch - 2015-08-16 11:58 PM

(Also, how do you attach a picture to a forum post here? I could upload the grid with what I have done so far.)


http://tinypic.com/.

Upload your image.Paste the link containing the HTML version of the image here.
@ 2015-08-17 1:46 AM (#19059 - in reply to #19058) (#19059) Top

ghirsch



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ghirsch posted @ 2015-08-17 1:46 AM

Thanks kishy.

This is all I could come up with for the Fillomino Stars puzzle from the IPC last week (the x's are stars). Can anyone provide some tips for where to go from here?
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Edited by ghirsch 2015-08-17 1:49 AM
@ 2015-08-17 5:57 AM (#19060 - in reply to #1525) (#19060) Top

rakesh_rai




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rakesh_rai posted @ 2015-08-17 5:57 AM

The top left corner cell has to be a star.
@ 2015-08-17 6:06 AM (#19061 - in reply to #1525) (#19061) Top

prasanna16391



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prasanna16391 posted @ 2015-08-17 6:06 AM

Have a marking - dot, or a small x in the corner or whatever suits you best - to denote when a cell cannot be a star, even though you don't know the region filling it. This will help. Key will be seeing R4C1 and R5C2 cannot be stars using hidden polyomino extension for contradictions.
@ 2015-08-17 9:41 AM (#19063 - in reply to #1525) (#19063) Top

vopani



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vopani posted @ 2015-08-17 9:41 AM

@ghirsch
How did you mark the bottom 3-polyomino?
@ 2015-08-17 11:14 AM (#19064 - in reply to #19063) (#19064) Top

ghirsch



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ghirsch posted @ 2015-08-17 11:14 AM

rakesh_rai - 2015-08-16 6:57 AM

The top left corner cell has to be a star.


Why can't it be a 1?

Rohan Rao - 2015-08-16 10:41 AM

@ghirsch
How did you mark the bottom 3-polyomino?


You're right, it could be a star.

prasanna16391 - 2015-08-16 7:06 AM

Have a marking - dot, or a small x in the corner or whatever suits you best - to denote when a cell cannot be a star, even though you don't know the region filling it. This will help. Key will be seeing R4C1 and R5C2 cannot be stars using hidden polyomino extension for contradictions.


I'll give that sort of notation a try, thanks for the advice and starting point.
@ 2015-08-17 11:48 AM (#19065 - in reply to #19064) (#19065) Top

kishy72



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kishy72 posted @ 2015-08-17 11:48 AM

ghirsch - 2015-08-17 11:14 AM

rakesh_rai - 2015-08-16 6:57 AM

The top left corner cell has to be a star.


Why can't it be a 1?

The reasoning goes this way :

i)R1 and R2 contain a total of 4 stars.
ii)Each 2X2 square can contain only a maximum of 1 star.Therefore cells R1C9,R1C10,R2C9 and R2C10 can contain a maximum of one star.Similarly Cells R1C6,R1C7,R2C6 and R2C7 can have a maximum of 1 star.
iii)To make the total 4 stars,the only place is R1C1.It has to be a star.
Puzzle Solving Techniques74 posts • Page 1 of 3 • 1 2 3
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