Puzzles with numbers and things

[dantuck_7]

I had my PC looking for a solution - but nothing so far.

[davis_greatest]

I had my PC looking for a solution - but nothing so far.

Has it got the first red from Davis and the one from Hendry yet? (It's easier without using a computer, I think.)

[abextra]

I think snookersfun is giving up! Time to close round 201. abextra, please would you post your picture answer here...

Oh, I don't know what to do...
I would give some more time to snookersfun and Dan (and maybe someone else likes to try), it's really not so hard...

[snookersfun]

Ok, I went for lots of pinks in the end, just because of the 'at no point equal' statement (is that in time, after # of balls or what?):

Davis starts out with red brown and takes all the other reds with pinks, while Hendry takes all his reds with pinks except the last one with a black.
So the scores after each of Davis' balls are:
1-0 -1st red
5-1
6-7 -2nd red
oh, that is already cumbersome... never mind, I'll go on:
12-8
13-14 -3rd
19-15
20-21 -4th
26-22
27-28-5th...
...
until
103-99 after the pink with the 15th red
105-106 after Davis' yellow and Hendry's black.

Hopefully

how about (after conferring with Abextra), I try to at least explain, what I think wouldn't work out.
a) 4 points ahead at bold step above apparently wasn't good, as same score after final green of Davis.
b) 1 point ahead (replacing that pink with green, so 100-99), wouldn't work either, as then after final pink of Davis I'd end up equal at 120 points
c) 1 point behind won't work, as I'd reach 6 points difference after the black/yellow story
d) 4 point behind by Davis, kind of perfect for the end, except, I can't reach it

[abextra]

Hehehe... ,
I'm afraid you're the smartest here, snookersfun, it seems my solution was wrong... oh dear...

[davis_greatest]

Haha - then maybe it's not possible to stop the scores being equal for the whole frame! Perhaps it is just up to Davis's green. Unfortunately I don't still have Monique's or chasmmi's answers to check properly and mine went into the bin long ago.

OK, round closed... congratulations to Monique, abextra, chasmmi and snookersfun!

[snookersfun]

rofl


thanks a lot!!!

[davis_greatest]

abextra, please post your picture to round 201 anyway - doesn't matter any more if the points are equal after Davis's final green!

[abextra]

Here it is... the scores are equal at 99 points...

[davis_greatest]

To keep you occupied while I think of a "proper" question, here is another of those scoreboards made up by my computer...

Round 202 - Treble clearance

It's just as for round 195, but now this scoreboard shows 3 total clearances by Gordon.

Just as previously, when Charlie filled in the scoreboard, he moved around each time colouring a square that touched the square he had previously coloured (moving horizontally, vertically or diagonally). When he began scoring the 2nd (or 3rd) total clearance, he carried on from where he left off, i.e. touching the end of the 1st (or 2nd) total clearance.

Whenever Gordon potted a colour after a red, it was always worth 1 point more than the previous colour he had potted, except of course if the previous colour had been a black.

Below is the final scoreboard.

Please post your answer on the thread! It's all about speed!

[davis_greatest]

Here it is... the scores are equal at 99 points...

Thanks abextra - nice picture!

[dantuck_7]

So, is it possible to have two breaks that are at no point equal except for 1-1?

My PC doesn't think so!!!

[snookersfun]

So, is it possible to have two breaks that are at no point equal except for 1-1?

My PC doesn't think so!!!

Dan's PC should get into the hall of fame as well for this one...

[davis_greatest]

Yes, I think it is ... congratulations dantuck_7's PC also!!!

[davis_greatest]

Let's have round 203 also, while round 202 is of course still open (and unanswered)...

Round 203 – Rainbow triangle

You are playing with Gordon, my pet gorilla, and have a large collection of blue, yellow, pink and brown snooker balls, and a snooker triangle that can surround 15 balls. You need to help Gordon put 15 balls into the triangle, so that no two balls of the same colour are touching – and you must use the smallest possible number of different colours!

a) How many colours do you use? Show a possible arrangement of the balls.

b) How many possible different arrangements are there (always using as few colours as possible, with no two balls of the same colour touching)?
Note: if the triangle can be rotated (without removing the balls from the bed of the table) from one arrangement to another, they count as the SAME arrangement.

Answers / guesses / funny comments please on the thread!