Thanks, Onuzq, that was a nice puzzle. My only suggestion is to adjust the wording that I pointed out above. I like this variation. I would do more of them.

Yes, the number in the circle is pretty much the average on the line.

Juggler's make patterns with length being based on how long it would take before you repeat it. The most basic pattern, the cascade where you pretty much braid, is written only as 3 or 33 or 333 or .... The shower where you're throwing 3 balls in a circle pattern is written as 51.

There's a trickier part I'm trying to figure out how to do with some more complex patterns. For example, a pattern 744 (7+1 = 2, 4+2 = 3, 4+3 = 1) is a very nice 5 ball pattern to look at, but doesn't use the number 5 within it.

If I find another way to display these the number in the circle may not represent the average of the series, but I don't have any software set up to ensure that multiple different solutions could occur in one pattern. With set of 1-9 you can have a 3 length pattern, there's a lot more possibilities because something like 441 could also be something like 414 or 471 or 777 by adding 3 to some number of slots, or 552 if you add some constant number through every single digit. These are all things that are used to create patterns for people to try out.

But for now, I just wrote the number of balls/average in the circle to introduce the concept.

I messed around with it to see if I could get it just by going on the circled cells having to be the ave for their respective lines. I got it by normal sudoku, but not sure if the answer is the same as the one with juggling sequence restrictions.

I'll have to check manually later

I will say, the solve path changed as I found the last restricting needed for uniqueness

When I make a puzzle I tend to have it going in a solver, just so I know it is valid while I construct it. I don't worry about whether a 12 step nishio forcing chain is needed while the solver evaluates what I have done; usually something which I need to add to produce a unique solution will circumvent the need for a non-human solution. Sometimes it even changes my envisioned solve path.

I pm'd u my solve

I was using f-puzzles, but solver didn't really work because I had nothing programmed to follow the restriction. Instead, I filled every possibility then eliminated looking for naked singles.

If I used a 9x9 it causes the page to crash with my computer being 8 years old.

Yeah, the f-puzzle solver as it is is not the best, so I use Andrew's Sudoku solver. I manually adjust the numbers to account for the restrictions, since it only does classic sudoku. Rangsk has software patches that people can add to f-puzzles to make it better and add more restrictions.

Eric, Onuzq, et al

Have a question about the gas puzzle 44 in this link. Starting at around 24:00..

https://www.youtube.com/watch?v=0UnZ2jdBP3k&t=35s


In Column 4 he populates 13/34 and then in C4R4 he establishes 134 to get the 8 and 9. I don't get how he concludes that C4R4 is 134 when it appears that C4R4 and C4R6 should be 1349. At this point nothing I see rules the 9 from being at C4R4 or C4R6.

How is he concluding 9 at C4R6 over C4R4??

They do make mistakes sometimes.

But, in this case, he is correct. It is an irregular sudoku, and only 134 are left for that irregular region.

Yes, but pretty sure in this case it is something I am missing.

Why is he correct ???

Here is where I got to. The cross in its entirety is restricted, but the 4 outer squares in the middle zone are up for grabs.

My question is/was, how is 9 proven to be in the blue square right now? I see no way if can be proven at this point. Him putting 134 in the pink square over the blue square seems arbitrary. The 9 (right now) is just as likely to be in the pink square as the blue square, yet he labels the pink square 134 and puts the 9 in the blue square??

The 8 seems proven at this point for C4R5, but that does nothing to clarify the 9. EDIT... and the middle is a 7 obv

The pink cell is in the same irregular region as the 2,5,6,7,8,9 above it. Only 1,3,4 are left.

Ok thx.. lol I saw the cross as the only marked region. I now see the dark lines removed elsewhere to create other regions.

My pony is slow... Thx Eric

Made another Juggler's Sudoku but with a 9x9 grid. Figured out some ways to help with restrictions:

Juggler's Sudoku (Now 9x9)

Normal Sudoku rules apply

Each line is a juggling sequence. A juggling sequence is valid if no two throws land on the same spot in the cycle. This can be found by the following steps:
1. The number of balls in the pattern is in the circled cell, and is always the first toss in the pattern. Each following throw will be next along the line given. The value of the line must average to the number in the circled cell.
2. Take the value of the throw, and add the spot in the sequence it takes. (e.g. If x is the 3rd throw in the sequence you get x+3)
3. Take the remainder when dividing the new value (from step 2) by the length of the sequence.
4. If in this new sequence you get two (or more) numbers which are equal to each other after step 3, you have an invalid swap.
5. Repeats are allowed in the pattern, if they follow standard sudoku rules.

For example: 342 is a valid swap
For example: 5744 is a valid swap
For example: 435 is not a valid swap (all three new values map to 2)
For example: 334 is not a valid swap (they do not average to 3)

https://f-puzzles.com/?id=y54k9hcn

Your link pulls up the solved grid...

https://f-puzzles.com/?id=yykbyxj6

Here's one more. My books are supposed to have shipped, but when I track the delivery it says returned, so I'm not sure what's happening.

Gulliver’s Travels

I hope this one isn’t too easy; I wanted something challenging but doable. Please tell me what you think of it.


Standard sudoku rules apply.

Digits in cages sum to the small number in the top left corner of the cage.

Digits along an arrow must sum to the digit in the attached circle.

Digits along a diagonal indicated by a small arrow outside the grid must sum to the number beside the arrow.

https://f-puzzles.com/?id=y5x3uxvl

Took a break, came back. Got 49:50 on a raw restart.

Numbers are hard when trying to keep digits available everywhere.

Eric. I'll try it again when I am not travelling but i spent 20 mins on it and can see the spots (I think) that should inform a break-in, but suspect I am just not picking up on a key POE piece. Don't want any hints. I will persist...lol

Merry Sudokumas

Standard sudoku rules.
Standard killer cage rules.
Standard thermometer rules.
Standard arrow rules.
Grey lines are palindromes.
Brown lines are renban lines.
Green lines are German whispers lines.

Additional colour is just for decorating the killer presents.

https://f-puzzles.com/?id=yyuuladh



I've gone through this a couple of times, but there's a chance my knowledge has directed me. I hope not.

57:xx

Eric, I keep running into an incompatibility at the same spot. C8R6. Most likely I did something wrong, but the cell is being pulled in opposite directions by two rules once I get there.

I went through it again, with much greater difficulty. I am not really happy with the solve path. I went to some dead ends too often.

Here is the solution I have:



I'll check what you sent to see where the problem is, and how much of it is on me.