![]() | |
Posts: 668 ![]() ![]() ![]() ![]() ![]() Country : India | swaroop2011 posted @ 2013-04-12 2:45 PM In domino Castle, 1) Is it possible to have a 2*2 domino (that is placing two dominoes adjacently) or 3*3 as there is no such restriction mentioned in rules ? 2) can castle walls touch each other at corners again nothing mentioned regarding this in rules ?? Edited by swaroop2011 2013-04-12 2:56 PM |
![]() | |
Posts: 234 ![]() ![]() ![]() Country : Russia | Riad Khanmagomedov posted @ 2013-04-12 3:18 PM swaroop2011 - 2013-04-12 2:45 PM In domino Castle, 1) Is it possible to have a 2*2 domino (that is placing two dominoes adjacently) or 3*3 as there is no such restriction mentioned in rules ? 2) can castle walls touch each other at corners again nothing mentioned regarding this in rules ?? You have 28 dominoes. Using all dominoes build a castle. Castle is connected freeform figure. |
![]() | |
Posts: 187 ![]() ![]() ![]() ![]() ![]() Country : New Zealand | kiwijam posted @ 2013-04-12 4:11 PM 1) Is it possible to have a 2*2 domino (that is placing two dominoes adjacently) You can only place two dominoes adjacent (e.g. one above the other) if both left ends match, and both right ends match. You have a set of 28 different dominoes to use, once each... You have to follow the given rules, but if the rules don't restrict something, then you can do it. |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-12 5:53 PM About Domino Castle : Please note that no domino can be used twice. (So each domino has to be used exactly once.) We can see that in some submissions, a single domino (e.g. 3,4) is used twice. This is not allowed. Those submissions are invalid, and will not be considered. |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-12 6:01 PM Yet another note about Domino Castle : The task is to minimize the expresses (R-r)^2+(C-c)^2 Not to maximize it. We see a case, where the player has (probably) tried to maximize it. |
![]() | |
Posts: 315 ![]() ![]() ![]() Country : The Netherlands | Para posted @ 2013-04-12 10:50 PM I assume our optimised score gets adjusted if the solution is correct but our calculation of the score is wrong? |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-13 4:57 AM Para - 2013-04-12 10:50 PM Yes. The entered values of expressions help us in sorting the submissions, thats it. But if it is wrong, it will be adjusted.I assume our optimised score gets adjusted if the solution is correct but our calculation of the score is wrong? |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-14 1:30 AM April Contest is now over. Submissions are not accepted any more. Results will be out when Optimizers are checked manually. |
![]() | |
Posts: 315 ![]() ![]() ![]() Country : The Netherlands | Para posted @ 2013-04-14 1:53 AM Is it okay to post our optimiser results here before the checking? |
![]() | |
Posts: 31 ![]() Country : United Kingdom | PuzzleScot posted @ 2013-04-14 2:08 AM Thanks Riad for a lovely set of puzzles. Nearly all were "How can it be possible to logically solve THIS puzzle?" followed some time later by "AH! How clever..." Very impressed. Thank-you again. |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-14 2:11 AM Para - 2013-04-14 1:53 AM Yes. Is it okay to post our optimiser results here before the checking? A total of 28 submitted Tetra Sudoku (+ 1 invalid). All submissions can be found in this pdf. Riad has not double checked them yet, but if you notice any error or omissions, please bring it up. |
![]() | |
Posts: 35 ![]() Country : United States | FoxFireX posted @ 2013-04-14 2:22 AM Huh. Looking at the submissions, I now realize that I completely missed the "or some of them" part of the instructions. Oh well; doubt I could have done much better anyway. :) |
![]() | |
Posts: 164 ![]() ![]() ![]() ![]() Country : Slovakia | greenhorn posted @ 2013-04-14 2:32 AM Wow, I am wondering if a human should made up such a great sudoku with only 20 givens. Now I am ashamed of myself of being so naive. Looking forward to rest of the results. I must not forget to express my admiration to Riad and his great puzzles. Most of them were really hard and adroit. I should finnish all of them much faster, but forget to think about all the rules at all. I ignore number 0 in arrows and clouds and it costs me a lot of effort till I realized it. |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-14 2:47 AM Domino Castle Submissions pdf - Only the horizontal dominos marked, remaining are vertical. Correctness of rules not checked (e.g. the one in page 11 is definitely invalid). If you notice any other grids missing rules, please post here. 22 submissions (out of which at least one is invalid) |
![]() | |
Posts: 315 ![]() ![]() ![]() Country : The Netherlands | Para posted @ 2013-04-14 2:57 AM FoxFireX - 2013-04-14 2:22 AM Huh. Looking at the submissions, I now realize that I completely missed the "or some of them" part of the instructions. Oh well; doubt I could have done much better anyway. :) I had the same problem. |
![]() | |
![]() Posts: 172 ![]() ![]() ![]() ![]() Country : ITALY | forcolin posted @ 2013-04-14 3:17 AM One of the best contests ever. Congratulations for a fantastic set of puzzles. Spasiba Riad |
![]() | |
![]() ![]() ![]() ![]() ![]() Country : India | Administrator posted @ 2013-04-14 7:34 AM Optimal Digital Ornament had most number of submissions. The pdf is little tough to decrypt, but it is easy for those who have submitted the puzzle. Riad probably has to spend lot of time checking this manually, so if you notice any errors / missing rules, please share. |
![]() | |
Posts: 31 ![]() Country : United Kingdom | PuzzleScot posted @ 2013-04-14 5:09 PM My entry (110) has a typo. 2 cells transposed in the BL corner. |
![]() | |
Posts: 31 ![]() Country : United Kingdom | PuzzleScot posted @ 2013-04-14 8:11 PM ...If that cannot be allowed, could my previous 105 entry be considered? |
![]() | |
Posts: 234 ![]() ![]() ![]() Country : Russia | Riad Khanmagomedov posted @ 2013-04-15 8:05 PM PuzzleScot - 2013-04-14 5:09 PM My entry (110) has a typo. 2 cells transposed in the BL corner. I saw these two cells. It did not change your result (110). |
![]() | |
Posts: 234 ![]() ![]() ![]() Country : Russia | Riad Khanmagomedov posted @ 2013-04-15 8:09 PM Preliminary results have been published, I thank everyone for their participation and positive responses! Congratulations to James (this is his second win in my contests), Tomoaki and Taro! Once again thanks to Andrey Bogdanov, who tested all puzzles and translated them into English. And a special thanks to Deb Mohanty! He prepared pdfs with graphic solutions of optimization puzzles. It was a great pleasure holding contests with Deb . |
![]() | |
Posts: 187 ![]() ![]() ![]() ![]() ![]() Country : New Zealand | kiwijam posted @ 2013-04-16 4:29 AM Wow! I'm really pleased! I was hoping to do well, but was convinced I hadn't done _quite_ enough to win. Well done to Tomoaki and Taro also, Tomoaki in particular has beaten me in many optimising competitions over the years, and he wasn't far off again. :) (e.g. http://www.logic-masters.de/DOM/2009.php) And this is the first time I've finished in the top 3 for any LMI test, so that's another personal milestone. Big thanks to Riad, you are very clever at making new puzzle variations. Yes they are often hard, but we have a whole week to enjoy them and conquer their logic, which is a pleasant change from the other styles of 'speedy' competition. And the optimisers, well I struggled with those dominoes, it was early in the final morning when I finally found a solution that might be respectable... And also thank you to Deb for the pdfs, it is great to see how others approached their solutions. |
![]() | |
Posts: 187 ![]() ![]() ![]() ![]() ![]() Country : New Zealand | kiwijam posted @ 2013-04-16 6:27 AM I guess some people might not have come across optimising puzzles before, so I thought I'd give a walkthrough for how I approached the Tetra-Sudoku puzzle. If someone else wants to discuss the other two, feel free. I tried placing tetraminos in the grid, then filling them with small digits, but that did not go well. So then I chose a different approach. Also I reread the instructions, and noticed that I didn't have to use all 7 shapes! It was recently proven that a solveable sudoku must have at least 17 clues, but there are thousands of ways to achieve that. So I started with a 17-clue sudoku like this: ..5 ... 46. The clues are spread out. I'm allowed to swap around rows and columns, as long as each 'group of 3' stays together. So I do this to try to bring the clues closer together, hopefully into groups of size 4. ... ... ... Now I have the clues grouped into two full tetraminoes, and two groups of three, a pair, and a single. So 6 tetraminoes would cover all these clues. But I can't find a way to cover them all with only 5 tetraminoes. Next I throw away that single 3. So I have a sudoku with 16 clues, and it has 1000+ solutions, but I can cover the remaining clues with 5 tetraminoes. And I can choose which 4 extra digits to add (two next to the 45, one beside the 121, and one joining the 4 to the 46)... Now is when I also relabel the digits so that the most common (the 4s) become 1s, etc, to minimize the sum. So I'd like to add 4 more 'small' digits if I can. ... ... ... If I add an 8 to R2C4 and an 8 to R7C6 then the grid is solveable except for a 2x2 square. This leads to a score of 69+4=73. Or if I add a 6 to R2C4 and a 7 to R6C7 then again there is 2 solutions: all of the digits 1-7 can be placed, but there are no 8 or 9 clues to resolve where those go. ... ... ... I could add an 8-clue now, but going from 2 solutions to 1 solution only saves me 3 points, so I'd rather add a an 'unused' 1-clue and a 2-clue and stay with 2 solutions. After a final switch of columns 4 and 5 (so each shape is different), and another relabeling, this gives a score of 66+4=70. ... 2.. ... (I hope those are readable, it's the only way I could think of to format a 9x9 sudoku grid) |
![]() | |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() Country : India | debmohanty posted @ 2013-04-16 11:03 AM Congratulations James for the top position and thanks for sharing your methodical approach for TetraSudoku. I tried getting an answer with "randomly" starting with Tetrominoes with 1-2-3-4 and other small numbers. But could never got a score less than 100. (It looks like I am not the only one. I can see many Tetrominoes with 1234 in the pdf). |