Post by Oiseau on Sept 16, 2004 7:04:21 GMT
Okay, you're going to explain that one. ;D ;D
Quoted from Paragraph 80 of The Dark before the Dawn :
A peasant from outside the city of Anskaven owns a goose farm. Ten years ago he had only one goose. So five years ago he bought a female goose for 5 Crowns from a friend of his in Toran. These two geese mate every year including the year the female goose was purchased. Each year they produce offspring. The first year they were together they had one gosling, the second year two, and the third year four more geese were delivered. As the geese population increased, so did the number of goslings produced each year at the same exponential rate. The man has been lucky with his goose farm; only two geese died the entire time he had these geese. How many geese will they have three years from present day including the original two?
As this is written, the answer is 511 after the geese have had their kids 3 years from now, and 255 before they do. One way or another, there's only 250 paragraphs.
You probably meant : How many geese does the farmer have this year ? Then the answer could be either 31 or 63 depending on when in the year the goslings are born, and whether they're born in the year following each mating (which you seem to assume).
We must also assume no grand-goslings are ever born (or that the exponential growth already covers them), or the geese population really starts exploding. ^_^
Since I need the official version for my translation, which has obviously reached paragraph 80 tonight ;D, could you please explain the correct calculation you had in mind? In the meantime, I reworded the whole thing to yield a clear answer of 31, but it makes the riddle a lot easier, so you might want to give us a revised version ... Please?
The Oiseau
EDIT : Oh, and Ronan, I can't seem to join your new forum. The program never sends the validation email. I used my true email, not a yahoo or hotmail account. Do you know what the problem could be?
Quoted from Paragraph 80 of The Dark before the Dawn :
A peasant from outside the city of Anskaven owns a goose farm. Ten years ago he had only one goose. So five years ago he bought a female goose for 5 Crowns from a friend of his in Toran. These two geese mate every year including the year the female goose was purchased. Each year they produce offspring. The first year they were together they had one gosling, the second year two, and the third year four more geese were delivered. As the geese population increased, so did the number of goslings produced each year at the same exponential rate. The man has been lucky with his goose farm; only two geese died the entire time he had these geese. How many geese will they have three years from present day including the original two?
As this is written, the answer is 511 after the geese have had their kids 3 years from now, and 255 before they do. One way or another, there's only 250 paragraphs.
You probably meant : How many geese does the farmer have this year ? Then the answer could be either 31 or 63 depending on when in the year the goslings are born, and whether they're born in the year following each mating (which you seem to assume).
We must also assume no grand-goslings are ever born (or that the exponential growth already covers them), or the geese population really starts exploding. ^_^
Since I need the official version for my translation, which has obviously reached paragraph 80 tonight ;D, could you please explain the correct calculation you had in mind? In the meantime, I reworded the whole thing to yield a clear answer of 31, but it makes the riddle a lot easier, so you might want to give us a revised version ... Please?
The Oiseau
EDIT : Oh, and Ronan, I can't seem to join your new forum. The program never sends the validation email. I used my true email, not a yahoo or hotmail account. Do you know what the problem could be?