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How to solve this type of puzzle (Tuesday 9
https://www.calcudoku.org/forum/viewtopic.php?f=3&t=1154
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Author:  gunatmananda  [ Tue Jul 02, 2019 2:39 am ]
Post subject:  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.

Author:  paulv66  [ Tue Jul 02, 2019 10:55 am ]
Post subject:  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.

Author:  rafaelhoukes  [ Tue Jul 02, 2019 1:10 pm ]
Post subject:  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.

Author:  paulv66  [ Tue Jul 02, 2019 5:54 pm ]
Post subject:  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

Author:  eclipsegirl  [ Wed Jul 03, 2019 5:29 am ]
Post subject:  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

Author:  fic  [ Mon Jul 15, 2019 2:52 pm ]
Post subject:  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- = 5-1 or 6-2 or 7-3 or 8-4 or 9-5
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 4-6 --> 2 single cells in column 4.
You should do the math for different combinations in 864x though...
Hope that helped a bit...

Author:  pnm  [ Mon Jul 15, 2019 3:37 pm ]
Post subject:  Re: How to solve this type of puzzle (Tuesday 9

For reference, this is the puzzle in question:

Image

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