I'll try, snookersfun... as long as it stays open for a while ... First I'll add another round...
Round 258... Bary's Bigger Banana Giveaway
Barry the Baboon decided that the Banana Giveaway Promotion worked so well, that he decides to do it again on a bigger scale. Again, he lays out in the entrance of his shop a big equilateral triangle of red snooker balls (bigger than before), touching as they would in a pack in snooker, with an odd number of rows.
The promotional sign explains that any ape can come into the shop and choose any Lucky Banana Number that he wants (as long as he doesn't choose the same Lucky Banana Number that an earlier ape has already chosen). Every Lucky Banana Number must be 2 or greater.
Just like before, any ape coming into the shop will be given some bananas for every line of touching red balls, going in any direction... but, in order to count, every line of touching balls must have at least as many balls as the ape's nominated Lucky Banana Number! The number of bananas won for each line is the ape's nominated Lucky Banana Number.
For example, if an ape's Lucky Banana Number is 7, then the only lines that count are those with 7 or more balls, and 7 bananas will be won for each such line. Each line only counts once (e.g. a line of 3 balls cannot be counted as 2 lines of 2 balls).
First into the shop is my pet gorilla, Gordon. He inspects the triangle, and then, being very smart, chooses his Lucky Banana Number to get the maximum possible number of bananas.
After that, a series of chimpanzees come into the shop, one by one. Each chimpanzee chooses a Lucky Banana Number and wins some bananas. The chimpanzees each win fewer bananas than Gordon - so Barry, in order to keep his customers happy, gives each chimpanzee a number of apples too, to go with the bananas. In fact, every single ape (Gordon and each of the chimpanzees) wins the same total number of fruit (apples + bananas combined). Gordon's fruit, of course, consist solely of bananas.
Every time that a chimpanzee wins a number of bananas that is not the same as the number of bananas won by any other ape who entered the shop before him, he eats one of his apples! For example, if a chimpanzee wins 50 bananas and no other ape had won exactly 50 bananas, he will eat one of his apples.
This goes on, with chimpanzees coming in and winning bananas and apples, until it is not possible for any more bananas to be won (because there are no possible winning Lucky Banana Numbers left)!
With no more fruit on offer, Gordon and the chimpanzees leave the shop, carrying a grand total of 2 million uneaten apples!
And so... how many rows of red balls in Barry triangle?
Answers by Private Message initially please.
Round 258... Bary's Bigger Banana Giveaway
Barry the Baboon decided that the Banana Giveaway Promotion worked so well, that he decides to do it again on a bigger scale. Again, he lays out in the entrance of his shop a big equilateral triangle of red snooker balls (bigger than before), touching as they would in a pack in snooker, with an odd number of rows.
The promotional sign explains that any ape can come into the shop and choose any Lucky Banana Number that he wants (as long as he doesn't choose the same Lucky Banana Number that an earlier ape has already chosen). Every Lucky Banana Number must be 2 or greater.
Just like before, any ape coming into the shop will be given some bananas for every line of touching red balls, going in any direction... but, in order to count, every line of touching balls must have at least as many balls as the ape's nominated Lucky Banana Number! The number of bananas won for each line is the ape's nominated Lucky Banana Number.
For example, if an ape's Lucky Banana Number is 7, then the only lines that count are those with 7 or more balls, and 7 bananas will be won for each such line. Each line only counts once (e.g. a line of 3 balls cannot be counted as 2 lines of 2 balls).
First into the shop is my pet gorilla, Gordon. He inspects the triangle, and then, being very smart, chooses his Lucky Banana Number to get the maximum possible number of bananas.
After that, a series of chimpanzees come into the shop, one by one. Each chimpanzee chooses a Lucky Banana Number and wins some bananas. The chimpanzees each win fewer bananas than Gordon - so Barry, in order to keep his customers happy, gives each chimpanzee a number of apples too, to go with the bananas. In fact, every single ape (Gordon and each of the chimpanzees) wins the same total number of fruit (apples + bananas combined). Gordon's fruit, of course, consist solely of bananas.
Every time that a chimpanzee wins a number of bananas that is not the same as the number of bananas won by any other ape who entered the shop before him, he eats one of his apples! For example, if a chimpanzee wins 50 bananas and no other ape had won exactly 50 bananas, he will eat one of his apples.
This goes on, with chimpanzees coming in and winning bananas and apples, until it is not possible for any more bananas to be won (because there are no possible winning Lucky Banana Numbers left)!
With no more fruit on offer, Gordon and the chimpanzees leave the shop, carrying a grand total of 2 million uneaten apples!
And so... how many rows of red balls in Barry triangle?
Answers by Private Message initially please.
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