Puzzles with numbers and things

[moglet]

R408

Recent news, abextra has found an alternative solution I had missed and deserves a bonus point as well as congratulations.

[Monique]

R408

As a first time problem setter I'm relieved that I have two solvers so far in Monique and snookersfun. Well done both.

Thank you for that Moglet. It was an interesting one. I struggled with it and yet it wasn't that difficult. But I was the victim of one of those "tricks of the mind" ... I wont say more for now in case others are still trying I don't want to spoil the fun.

[moglet]

R408

As a first time problem setter I'm relieved that I have two solvers so far in Monique and snookersfun. Well done both.

[Monique]

R405 ... here it is ...

battlechalks-2-vF.bmp

red chalks

[snookersfun]

Happy to announce that abextra has solved R.405 as well. Congrats!

the solution can come up on the thread now...

[Monique]

Breaking news ... Abextra now in with a solution for R407. Well done!

Next answer on the thread please...

[abextra]

Here's mine abextra, looks identical

[ATTACH]2686[/ATTACH]

Lol. great minds think alike!

[moglet]

R408

"Battletriangles" for a change

The apes have triangles for any size of pack and Gwenny has arranged a set of grey balls, she can't remember why they have any, in a triangle for a pack sixteen balls on the base. Amongst them are some balls she has painted with coloured numbers. To while away a few spare minutes between snooker sessions she has challenged the boys to swap unnumbered grey balls for arrangements of coloured balls each in a triangular formation as well as some single reds. The "triangles", she tells them, can be in either orientation, pointing upwards or downwards, but they must not touch each other even if they are the same colour, as the single reds mustn't either, nor must they disturb the numbered balls. So all they have to do is swap the balls leaving them so that the coloured numbers represent the sum of all the balls of that colour that can be found in the rows of balls from that number in all possible directions that are parallel with the sides of the wooden frame.

The boys just managed it before they'd to start their next session, how did they do it?



Answers by PM please.

[moglet]

Here's mine (hope there are no typos ).

Here's mine abextra, looks identical

[abextra]

Ok ... let's give Barry a small hint.
...

Thank you, Monique, hopefully it helps Barry.

I'm useless here, so I better join that bunch of :snooker: players (not a bad company, lol)!

[abextra]

R.406

The solution can come up on the thread now.

Here's mine (hope there are no typos ).

[snookersfun]

old news (sorry, a bit late updating this)

Mon, moglet and abextra solved R.406, congratulations!!

The solution can come up on the thread now.

[Monique]

Ok ... let's give Barry a small hint.
Looking at the numbers at the right, the three first rows must contain ten chalks each. Now they could be clustered in "small squares" or in "big squares". However if they are all in small squares, we have a problem because rows 4 to 6 must also contain 8 chalks each and the square clusters can't touch even by a corner. So it's fair to assume the is at least one "big square" in the upper rows.
Now looking to the numbers below, one sees that the biggest possible square can only be 6x6 and if so must be between columns 5 and 10 included.
So lets assume we have such a 6x6 square, in rows 1 to 6 and colums 5 to 10 ...

[Monique]

R407 news... Well, well... Moglet and snookersfun are cleverer than that bunch of :snooker: players! Well done!

[Monique]

R407 - more triangle chalks ...

Barry as usual has been challenging his mate Charlie to help him promote his shop and its products. This time he requested some new idea to boost the sale of the triangle chalks he has in stock

Now Charlie is coming back to him with a very nice little square display table covered in bright green smooth baize, a grid discretely traced on it ... and a plan. "Look", says Charlie, "that's how you should place the chalks on the table"

squares15x15.jpg

"The chalks are arranged into squares, not touching each other even by the corners, and the numbers indicate how many chalk pieces you have in each row and column." And with a naughty smile, he's gone, leaving a puzzled Barry scratching his head! Who can help him?

Answers by PM, please.

Note that Barry has already been seeking help with his most faithfull customers ... with little success

DavisPuzzled.jpg Davy Steevee

DottPuzzled.jpg Deamon Grott

MurphyPuzzled.jpg Simon Churchy

RonniePuzzled.jpg Rollie O'Sunnyman