Puzzles with numbers and things

[davis_greatest]

That's precisely the reason why he can only pot one green. :-)

I don't really agree that that is precisely the reason. Were it not for the additional information that the total value of yellows potted had the same total value as the blacks, he could have potted 15 reds with blacks and then all the colours - then, each time he potted a green, he would still have potted a black 2 shots before.

However, as you correctly said in the rest of your well-explained answer, he can only pot 2 blacks in total because the value of the (7) yellows is the same as the value of the (2) blacks. So he could only pot 1 black with the 15 reds (plus of course the final black)... and THAT's the reason why he can only pot one green in the frame (during the final colours clearance).

[davis_greatest]

Round 106 - Gordon's turn

Tonight, Gordon also made his first total clearance! (15 reds, each with a colour, and then the six colours)

Unfortunately, I missed it, so I asked Barry the Baboon, who witnessed it but knows almost as little about snooker as the presenter who did the World Championship draw on Radio Five Live last year, to describe the break. This is what he said:

"Gordon played shots alternately left-handed and right-handed. Every time he potted a blue, it was worth 2 points more than the green. He potted more blues than blacks. Every time he potted a black, his points advanced by the number of days in a week. His left arm is longer than his right leg and every ball he potted playing right-handed was worth more than the one he had potted on his most recent previous shot left-handed. The white never went into the pocket but once he put his right hand into his left pocket to withdraw a handkerchief to blow his nose. The last ball he potted was the black, into the middle pocket, where the blue was. He potted more reds than greens but the combined total value of all the greens and browns potted was more than the total value of all the blues potted, but not as high as the total value of all the blacks potted. He definitely potted at least two greens playing right-handed but I don't remember whether he potted any left-handed. He might have done - I'm not sure. He never potted the yellow into a middle pocket but dropped his handkerchief once after potting a brown. I think it was after using the long rest. He potted the same number of yellows left-handed as right-handed, but sneezed whenever potting one left-handed. He also kept scratching his right buttock."

I had a think. "Anything else you remember?" I asked Barry.

"Yes," said Barry. "Whenever Gordon potted the blue, he banged his chest. Whenever he potted the pink, he did a little skip. He never banged his chest unless he had just potted the blue and never skipped unless he had just potted the pink. Once when he took his handkerchief out his pocket, his comb fell on the floor but this didn't happen as many times as he scratched his buttock, nor as many times as he banged his chest. The number of times he did a little skip was not the same as the number of points his break advanced in the shot immediately following the shot in which he potted a colour left-handed for the first time, nor was the number of blues he potted equal to the number of times the white went into the pocket."

How high was Gordon's break?

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[snookersfun]

4:20that pink part sounded at first reading like you had been celebrating too much

[davis_greatest]

I've added some more information from Barry in green in the question above!

[rambon]

I'll have a stab at 111

[rambon]

I'll have a stab at 111

I reckon he pots the reds left handed, and therefore the yellow, brown and pink left handed at the end

This means that right handed, he pots green, blue and black

Of the fifteen colours, he pots one yellow right handed (equal to left handed)
He pots 4 more blues, 3 more blacks (making 5 blues = 25 and 4 blacks = 28)

7 more colours to go 4 more greens and 2 more browns, leaving 1 pink

That means
Blues total 25
Black total 28
Green and brown total 27 (15+12)

Meaning a total clearance of 111

[davis_greatest]

Hehe - a good answer - but that will teach me to post questions at such a silly time... snookersfun and rambon have both made me realise that Barry has not yet said enough to help us work out the break for sure.

To keep you working a little more, here is a bit more that Barry added :

"The number of browns that Gordon potted was not equal to the number of doughnuts I had for breakfast. The number of buttocks scratched by Gordon was less than the value of the pink but he scratched them more times than the value of the blue and black combined. The number of greens potted was not equal to the value of the ball he potted immediately before banging his chest, nor was it less than the number of doughnuts I had for breakfast."

So... now what was the break?

[davis_greatest]

rambon has secured himself / herself a place in the Hall of Frame - congratulations - but there is still an opportunity for anyone else to say what the break was, using all the information we now have from Barry the Baboon. And it's not 111. snookersfun got it earlier - anyone else? If so, please post on this thread, stating that you are answering round 106.

In the meantime...

Round 107 - Gordon does it again!

Gordon has, apparently, just made another total clearance (15 reds, each with a colour, and then the 6 colours)! That's two - his first two ever - in less than 24 hours! I'm afraid that I missed it again, but fortunately Barry the Baboon was able to describe it for me with exceptional clarity.

"Gordon sneezed," explained Barry, "each and every time that he potted a brown, but at no other time. The total number of greens, browns and blacks that he potted was the same as the number of times he scratched his right buttock. However, the only time he wiped his nose was when he potted a green, and he indeed did wipe his nose once each time he potted a green. Each time he potted a yellow, he scored 1 point fewer than he would have got for potting a green, but the total points he scored from blacks was more than the total number of points he scored from greens but not as many as the number of times he scratched both buttocks. The number of times he scratched his right buttock happened to equal the number of pinks he potted multiplied by the number of times he dropped his comb, whereas the number of times he scratched his left buttock was the same as the number of balls he potted during the break. He sneezed more times than he wiped his nose but always dropped his comb when potting the blue (oddly enough, never dropping his comb at any other time); however, if he had wiped his nose when potting a black instead of when potting a green he would not have wiped his nose as often as he did. He scored the same total number of points from potting pinks as he scored in total from potting yellows and blues. He combed his hair before potting the final black."


How high was Gordon's break?

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[davis_greatest]

OK - we want to move on to round 108, so need to close rounds 106 and 107 soon. Are they so difficult?

rambon has secured a place in the Hall of Frame for round 106 but a different answer is needed for that round that satisfies all the further information from Barry. snookersfun has answered rounds 106 and 107 by Private Message - congratulations

Rounds 106 and 107 will now close the first time that anyone (correctly) answers them on this thread - that includes snookersfun, who can post her answers here so we can move on

[davis_greatest]

Round 108 - Barry has a go

Barry the Baboon can't wait forever, and nor can I. Here is round 108. Still waiting for answers to be posted here to rounds 106 and 107, so will stop after this round until they appear.

Barry has just made a total clearance (15 reds, each with a colour, followed by the 6 colours).

Fortunately, it was watched by Charlie, who was able to describe the break to me in rather a simpler manner than Barry's descriptions. Charlie tells me that Barry potted every brown left-handed and every blue right-handed. He potted every red left-footed and every pink right-footed. All the other shots, he played with his tail!

Favouring his left side, Barry played more shots left-handed than right-handed, and more shots left-footed than right-footed. However, he scored more points with his tail than he scored left-handed, although not as many as he scored right-handed!


How high was Barry's break?

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[abextra]

Round 106

I'll go for 110.

2 yellow balls - 4 points
6 green balls - 18 points
2 brown balls - 8 points
5 blue balls - 25 points
2 pink balls - 12 points
4 black balls - 28 points

total 95 + 15 = 110 points.

[davis_greatest]

Round 106

I'll go for 110.

2 yellow balls - 4 points
6 green balls - 18 points
2 brown balls - 8 points
5 blue balls - 25 points
2 pink balls - 12 points
4 black balls - 28 points

total 95 + 15 = 110 points.

... is the correct answer!

[snookersfun]

Round 107 - Gordon does it again!

Gordon has, apparently, just made another total clearance (15 reds, each with a colour, and then the 6 colours)! That's two - his first two ever - in less than 24 hours! I'm afraid that I missed it again, but fortunately Barry the Baboon was able to describe it for me with exceptional clarity.

"Gordon sneezed," explained Barry, "each and every time that he potted a brown, but at no other time. The total number of greens, browns and blacks that he potted was the same as the number of times he scratched his right buttock. However, the only time he wiped his nose was when he potted a green, and he indeed did wipe his nose once each time he potted a green. Each time he potted a yellow, he scored 1 point fewer than he would have got for potting a green, but the total points he scored from blacks was more than the total number of points he scored from greens but not as many as the number of times he scratched both buttocks. The number of times he scratched his right buttock happened to equal the number of pinks he potted multiplied by the number of times he dropped his comb, whereas the number of times he scratched his left buttock was the same as the number of balls he potted during the break. He sneezed more times than he wiped his nose but always dropped his comb when potting the blue (oddly enough, never dropping his comb at any other time); however, if he had wiped his nose when potting a black instead of when potting a green he would not have wiped his nose as often as he did. He scored the same total number of points from potting pinks as he scored in total from potting yellows and blues. He combed his hair before potting the final black."

How high was Gordon's break?

closing round 107, keep them coming

I made this one a smallish break of 96 after careful counting (7 yellows, 2 greens, 5 browns, 2 blues, 4 pinks and 1 black).

I used the equations (+ assumption total 21 colours, min. 1 of each):
green + brown + black= blue * pink (=6-18)
with black3*green
6*pink(x)=5*blue(y)+2*yellow(z)

starting with the last equation, I figured, that there are only 2 feasible possibilities (with x+y+z<=15) for pink, blue, yellow combinations (3,2,4 and 4,2,7). The first of those results in not enough colours (9+6), while the second fits perfectly (13+8). The 8 remaining colours need to contain 1 black only (as 2+3+4 too high) and can only have 2 greens as 1*7>2*3 only, leaving 5 blues.

[davis_greatest]

...leaving 5 blues.

5 browns, but yeah!

[snookersfun]

oh swell, that should have been edited out by now....