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How to solve this type of puzzle (Tuesday 9
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gunatmananda
Posted on: Tue Jul 02, 2019 2:39 am
Posts: 1 Joined: Thu May 17, 2018 11:52 am

How to solve this type of puzzle (Tuesday 9
hello,
I am able to solve all the puzzles that appear here. the Tuesday 9x9 difficult is generally not difficult (but is always the most interesting), except that some times the Tuesday 9x9 has a different shape than usual.
For example on July 2nd, 2019.
any tips on how to proceed with such a puzzle?
....ok, I managed to solve the July 2nd puzzle...but most of the time puzzles of this shape leave me stumped. I think mostly because there are not enough multiplication blocks.
Last edited by gunatmananda on Tue Jul 02, 2019 3:08 pm, edited 1 time in total.




paulv66
Posted on: Tue Jul 02, 2019 10:55 am
Posts: 759 Location: Dublin, Ireland Joined: Tue Mar 01, 2016 10:03 pm

Re: How to solve this type of puzzle (Tuesday 9
I agree that this type of pattern tends to very tricky. Today's puzzle certainly is! I have been trying to see how to approach it systematically, but I have a feeling that a certain amount (possibly quite a lot!) of trial and error may be required.




rafaelhoukes
Posted on: Tue Jul 02, 2019 1:10 pm
Posts: 69 Joined: Tue Mar 10, 2015 5:59 pm

Re: How to solve this type of puzzle (Tuesday 9
With some help of my calculator, I just finished the puzzle in barely 15 minutes (very much less than expected), with just one minor guess. The majority of the hard 9*9 puzzles, today's one too, can be solved by finding out the solution of the big multiplication cages. I really wonder if this puzzle can be solved completely analitically, as I immediately got stuck at the start of it.




paulv66
Posted on: Tue Jul 02, 2019 5:54 pm
Posts: 759 Location: Dublin, Ireland Joined: Tue Mar 01, 2016 10:03 pm

Re: How to solve this type of puzzle (Tuesday 9
It took me a long time, but I got there eventually.
There were two possibilities for a particular cage and 3 possibilities for another cage. Looking at these in combination allowed me to explore the different combinations until I came up with the correct solution.
The reason it took me so long was because I dismissed one the possibilities early on  not sure why, I must have made a false assumption  and kept exploring the others ad nauseum.
I eventually went back to square one and took it step by step. There may be a single step by step analytical approach that solves the puzzle, but I certainly wouldn't say that I've found it.
It will be interesting to see how many people manage to solve this puzzle. So far, there are 58. The number solving the Tuesday 8x8 for each of the last 4 weeks is as follows:
04/06/19 355 11/06/19 160 18/06/09 269 25/06/09 254




eclipsegirl
Posted on: Wed Jul 03, 2019 5:29 am
Posts: 557 Joined: Wed Apr 16, 2014 9:20 pm

Re: How to solve this type of puzzle (Tuesday 9
I am traveling and this was eclipse day It is also the 3rd time we have seen the pattern this year.
NOT HAPPY




fic
Posted on: Mon Jul 15, 2019 2:52 pm
Posts: 3 Joined: Thu Jan 25, 2018 10:57 pm

Re: How to solve this type of puzzle (Tuesday 9
July 2nd, 9x9 puzzle: You should look at the last 3 columns. They form almost a complete block of 3 columns. Only 2 single cells. (part of 7+ and 9+ in column 6 & 7). Except for 4 (in column 8) you know the sum of al the cages (72x = 9,8, 35x = 7,5, 9x = 9,1). If you make the sum of these columns, you'll get 116 (total of 3 columns = 135). So now you only got 19 left to fill 4 cells (2 empty and 2 cells that form 4). 4 = 51 or 62 or 73 or 84 or 95 Since 5, 7, 8 and 9 are already used, that leaves only 6 & 2 to form 4. 116 + 8 = 124, so you have 2 empty cells to form 11 in column 7. 11 = 6+5, 7+4, 8+3, 9+2, but 3, 4 and 9 are already used in column 7, so that leaves only 5 and 6 to fill the empty cells in column 7. So now you know that the other cells in column 6 should form 5 (7+ & 9+ = 16, with 11 declared in column 7). With that knowledge you can do the same for the columns 46 > 2 single cells in column 4. You should do the math for different combinations in 864x though... Hope that helped a bit...




pnm
Posted on: Mon Jul 15, 2019 3:37 pm
Posts: 2854 Joined: Thu May 12, 2011 11:58 pm

Re: How to solve this type of puzzle (Tuesday 9
For reference, this is the puzzle in question:






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