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Weekend special!
I’ve prepared something special for Saturday’s puzzle, for two reasons: it’s a weekend and also it’s October 1 and I want to start with something brand new in October!
It’s another variation of Killer Sudoku’s that I have never seen before. If you have – please let me know. And don’t worry, it’s not going to be as difficult as Diagonal Killer was a few days ago! 🙂
Was it too difficult?
Hmm, I might have overdone today’s puzzle… Maybe it was a little bit too hard? Any thoughts? Anyone solved it without using Perfect Sudoku? ANYONE?
Anyhow, I promise tomorrow’s daily puzzle will be somewhat easier. Don’t give up! It’s a great game and it’s worth playing.
Tommorrow I will also create an archive where you will be able to browse through the previous daily puzzles. More games in one place! 🙂
Today’s puzzle – Killer Sudoku X (diagonal)
As promised, today I’m posting something that I haven’t seen anywhere on the web – a diagonal Samunamupure. As far as I know it’s a world premier of this kind of puzzle – and you have the privilege to be the first to solve such puzzle!
The rules are still the same – all cages must have the totals as indicated in the starting grid, all rows, columns and 3×3 boxes must have each of the digits 1-9, but also both diagonals must have only one occurence of each number.
I hope this won’t make it too difficult. I’d like to hear your thoughts on this. Would you like more of these puzzles or are they too tough?
The Rule of 45 of Killer Sudoku (innies and outies)
This tip is probably the most important solving technique of Killer Sudoku, one that will save you a lot of time. It does involve some math, but very simple one.
Basically, the whole story is that you have to bear in mind that 1+2+3+4+5+6+7+8+9 = 45. Very smart, huh? Well, maybe not so, but it’s extremely helpful for solving Killer Sudokus. Why? Because the sum of every 3×3 “box” (not “cage”!) and also of every row and column is precisely 45.
And how does that help?
Find something strange there?
Well, the innie is just as I described: 45-(13+13+11) = 45-37 = 8.
However, the outie comes from two combined boxes. Therefore, it’s value is (9+22+11+17+10+3+13+8)-2*45 = 93-90 = 3.
You can combine any number of boxes in this way. A more difficult way to find innies and outies is by looking at rows and columns, but that will be explained some other time.
It helps if you find a 3×3 “box” filled entirely by a few “cages” except that one (and only one) of those cages has a single cell outside of that same box. If you’re lucky enough and find such a box, you add up the cage totals for the cages from that box and subtract 45. The result is the value of that single cell that’s outside the box. This is called an “outie”.
Similarly, all but one cell of a box can belong to a few cages with no cells sticking outside the box. That one cell which belongs to another cage is called an “innie”. It’s value must be 45-(the sum of cages within that box).
Both examples are shown in this puzzle. The outie is the number 3 in a green square, and the innie is the number 8 in another green square:
Find something strange there?
Well, the innie is just as I described: 45-(13+13+11) = 45-37 = 8.
However, the outie comes from two combined boxes. Therefore, it’s value is (9+22+11+17+10+3+13+8)-2*45 = 93-90 = 3.
You can combine any number of boxes in this way. A more difficult way to find innies and outies is by looking at rows and columns, but that will be explained some other time.
Posted in Killer Sudoku, Solving tips
Tagged innie, INNIES, innies and outies, IQ, killer, killer sudoku, Killer Sudokus, outie, OUTIES, rule of 45, solving technique, technique
3 Responses
Killer Sudoku solving tip 2.
Ok I know that not everybody is good with math so here is a little tool that you could use to figure out different combinations of digits that could go into a ‘cage’.
First enter the cage sum displayed in Samunamupure and then enter the total number of cells in that cage. You will automatically get all the posibilities that could potentially solve that cage!
Here it is:
Posted in Killer Sudoku, Solving tips
Tagged killer, killer sudoku, samunamupure, solving tip
4 Responses
Samunamupure solving tip 1.
The following list contains ALL possible cage sums that have only one solution for the corresponding number of cells in the cage. You may use this list to help you solve Samunamupure puzzles:
doubles
3=1+2
4=1+3
16=7+9
17=8+9 triplets 6=1+2+3
7=1+2+4
23=6+8+9
24=7+8+9 quads 10=1+2+3+4
11=1+2+3+5
29=5+7+8+9
30=6+7+8+9 5 cells 15=1+2+3+4+5
16=1+2+3+4+6
34=4+6+7+8+9
35=5+6+7+8+9 6 cells 21=1+2+3+4+5+6
22=1+2+3+4+5+7
38=3+5+6+7+8+9
39=4+5+6+7+8+9 7 cells 28=1+2+3+4+5+6+7
29=1+2+3+4+5+6+8
41=2+4+5+6+7+8+9
42=3+4+5+6+7+8+9 8 cells 36=1+2+3+4+5+6+7+8
37=1+2+3+4+5+6+7+9
38=1+2+3+4+5+6+8+9
39=1+2+3+4+5+7+8+9
40=1+2+3+4+6+7+8+9
41=1+2+3+5+6+7+8+9
42=1+2+4+5+6+7+8+9
43=1+3+4+5+6+7+8+9
44=2+3+4+5+6+7+8+9
More tips coming soon!
4=1+3
16=7+9
17=8+9 triplets 6=1+2+3
7=1+2+4
23=6+8+9
24=7+8+9 quads 10=1+2+3+4
11=1+2+3+5
29=5+7+8+9
30=6+7+8+9 5 cells 15=1+2+3+4+5
16=1+2+3+4+6
34=4+6+7+8+9
35=5+6+7+8+9 6 cells 21=1+2+3+4+5+6
22=1+2+3+4+5+7
38=3+5+6+7+8+9
39=4+5+6+7+8+9 7 cells 28=1+2+3+4+5+6+7
29=1+2+3+4+5+6+8
41=2+4+5+6+7+8+9
42=3+4+5+6+7+8+9 8 cells 36=1+2+3+4+5+6+7+8
37=1+2+3+4+5+6+7+9
38=1+2+3+4+5+6+8+9
39=1+2+3+4+5+7+8+9
40=1+2+3+4+6+7+8+9
41=1+2+3+5+6+7+8+9
42=1+2+4+5+6+7+8+9
43=1+3+4+5+6+7+8+9
44=2+3+4+5+6+7+8+9
More tips coming soon!
Diagonal Killer Sudoku!?
I just realized that there is no reason why a Samunamupure could not also be diagonal. So, in the next version you will have an opportunity to create a diagonal Killer Sudoku!
In the meanwhile, I will post one such puzzle on my Daily puzzle page. I haven’t seen such Sudokus anywhere else on the web. If you have – let me know!
Posted in General, Killer Sudoku
Tagged Diagonal Killer, killer, killer sudoku, samunamupure
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Killer Sudoku – new puzzle every day on www.djapedjape.com
As of today, Monday September 26, I will be posting a new Samunamupure puzzle every day (well, don’t mind if I miss a day from time to time)!
Check the “Daily Samunamupure” page for a unique, randomly generated puzzle.
It is likely that an archive or previous daily puzzles will be compiled so you could access the old ones, too.
Happy solving!
Perfect Sudoku v0.2
As promised, you can now download Perfect Sudoku v0.2.
Changes are all related to the user interface: instead of the drop-down boxes, now you select values for different boxes by clicking on the items on the left. Also, pencil marks are now shown in a much better way.
There will be more user interface changes, but first, I will focus on implementing the Samunamupure – Killer Sudoku.
Posted in General, Killer Sudoku
Tagged killer, killer sudoku, Perfect Sudoku, samunamupure
1 Response
Samunamupure – Killer Sudoku (coming soon)
I recently learned about the new “mod” to Sudoku puzzles called Samunamupure… It’s so cool! I’ve already started working on implementing my own generator of Samunamupure puzzles and you can soon expect a new version that will allow you to generate and solve such puzzles!
