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SkyScraperSum http://www.rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=13&t=1399 |
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Author: | HATMAN [ Fri Mar 17, 2017 10:42 am ] |
Post subject: | SkyScraperSum |
Sky Scraper Sum 0 A new variant for me, see: http://forum.enjoysudoku.com/post256219.html#p256219 At Andrew's suggestion: |
Author: | Andrew [ Sun Mar 19, 2017 8:04 pm ] |
Post subject: | Re: SkyScraperSum |
A new variant for me too! Suggest that you copy the diagram to this thread, since it's your modified version of an earlier puzzle, in case that other site goes down. Are we to assume that each of the skyscraper cages must have a foundation, so starts from one of the edges? And that there are two skyscrapers in rows/columns where two totals are given, but not necessarily two (although still probably) when only one total is given? Not sure what you mean by "ordered" in the phrase "ordered uncaged killer" in your comments. Possible Hint: |
Author: | HATMAN [ Mon Mar 20, 2017 5:05 pm ] |
Post subject: | Re: SkyScraperSum |
Some points: Each set of clues (left,right, bottom and top) must contain a 9 and a 17. Each clue sees the highest skyscraper so includes a 9. The sum of the two clues minus 9 is the sum of the visible skyscrapers. 45 minus this number is the sum of the slums from those two directions. In looking at combinations the numbers are increasing from the edge, hence ordered. The two clues on a row give a relatively low number of combinations hence if all 36 clues are given the solution should be pretty easy. Consider 17 with 18: 89 and 972/963/954/9621/9531/9432 179 and 981 fail 269 and 981 359 and 981 1xx9 and 981 fail. If you add NonConsecutive into the mix the combinations drop drastically |
Author: | Andrew [ Wed Jun 14, 2017 12:38 am ] |
Post subject: | Re: SkyScraperSum |
Thanks HATMAN for this new variant and for your helpful post above, after I'd been confused about how to approach it. This puzzle isn't particularly difficult, but it's very easy to make mistakes because of the hidden skyscrapers which don't count towards the sums; it took me at least three partial restarts because of silly mistakes or overlooking possibly valid ordered combinations. While I wouldn't recommend trying the easier version of this puzzle https://s3.amazonaws.com/gs-geo-images/ ... 2531_l.jpg, which gives more immediate placements but is really a bit too easy for users of this forum, the diagram is useful for checking some of the placements in the border rows and columns. Here's my walkthrough for SkyScraperSum: Solution: |
Author: | Andrew [ Wed Jun 14, 2017 7:15 pm ] |
Post subject: | Re: SkyScraperSum |
In the first part of the post quoted by HATMAN http://forum.enjoysudoku.com/skyscraper ... ml#p256219 gabor listed two SkyScraper puzzles and suggested that the one with sums as clues was harder than the one with number of visible skyscrapers as clues. I wonder whether that's really true. Working from the number of visible skyscrapers would require a very different approach. I've been doing killer sudokus for more than ten years and they quickly became my favourite type of sudokus, along with various killer variants to extend the challenge. |
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