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! 
The archive of daily puzzles has been made available so if you miss a puzzle you can now find it here!
It is likely that this archive will be changed (improved, that is) but I thought that the priority is to put it online so you could browse through previous daily puzzles.
Good luck!
I’ve had some problems today with my website hosting company because apparently they don’t support a library that is required for displaying images gallery style (so you could browse through old daily puzzles). There is a workaround for that, but it’s going to take a day or so to implement. I’m sorry about this folks.
Anyway, I’ve prepared a puzzle for tommorrow which will be posted when the time comes. When I was looking for a suitable one to post, I was trying to find one that would be good for giving you more tips and solving strategies. Therefore, tommorrow you will have a few more solving tips along with the daily puzzle.
By the way, all these daily puzzles are created with my “Perfect Sudoku” software. If you download and register “Perfect Sudoku” you can generate them on your PC too!
I should also point out that all Killer Sudoku’s generated and posted here are “perfect” (see the definition here), the same way as regular Sudoku’s are.
The Killer Sudoku X (diagonal), which was posted a few days ago was no exception – it had only one diagonal solution, although there was another non-diagonal solution.
I hope you’re enjoying solving these daily puzzles!
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!
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?
This tip is probably the most important 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?
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.
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:
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!
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