- 15 Apr '08 14:17

Not enough info for definite answer. kbaumen had one.*Originally posted by FabianFnas***If I say that f(347329) = 122118**

Then what is f(645977)?

If you can't solve it today, I'll give you give you another f(n) tomorrow at this time.

Here is another: 420766

f(x)=x-225211

or in kbaumen's answer:

f(x)=0.351592x

There's other answers as well. - 15 Apr '08 15:23

My answer was intended to be sarcastic because it probably isn't calculation with brute force what the OP wanted to get from us. There must be a simple, yet incredibly difficult to notice, regularity between the numbers given.*Originally posted by brobluto***Not enough info for definite answer. kbaumen had one.**

Here is another: 420766

f(x)=x-225211

or in kbaumen's answer:

f(x)=0.351592x

There's other answers as well. - 15 Apr '08 15:29

I know. The poster should have been more specific.*Originally posted by kbaumen***My answer was intended to be sarcastic because it probably isn't calculation with brute force what the OP wanted to get from us. There must be a simple, yet incredibly difficult to notice, regularity between the numbers given.** - 15 Apr '08 15:51

I'm sure the poster knows full well it's not specific enough. I'm assuming that the solution will be an 'elegant' function, and we weren't necessarily expected to guess it with the first number. With more numbers a pattern will probably emerge.*Originally posted by brobluto***I know. The poster should have been more specific.** - 15 Apr '08 16:08

Do not mupltiply these numbers, just look at them for positioning of the numbers.*Originally posted by brobluto***The answer is:**

F(645977)=244549

for f(abcdef) where a,b,c,d,e,f are integers between 0 and 9

f(abcdef)=ghi

where g,h,i are integers between 10 and 99 and:

g=a*b

h=c*d

i=e*f

So, F(283749)= (2*8) (3*7) (4*9) or (16)(21)(36) or 162136

I'm sure there's probably some mathematical function or some more elegant way of explaining the relationship, but that's the pattern. - 15 Apr '08 16:12

Well this looks really elegant. Should be the intended solution. Congrats.*Originally posted by brobluto***Do not mupltiply these numbers, just look at them for positioning of the numbers.**

for f(abcdef) where a,b,c,d,e,f are integers between 0 and 9

f(abcdef)=ghi

where g,h,i are integers between 10 and 99 and:

g=a*b

h=c*d

i=e*f

So, F(283749)= (2*8) (3*7) (4*9) or (16)(21)(36) or 162136

I'm sure there's probably some mathematical function or some more elegant way of explaining the relationship, but that's the pattern. - 15 Apr '08 18:36

Quite right. Well done brobluto!*Originally posted by brobluto***Do not mupltiply these numbers, just look at them for positioning of the numbers.**

for f(abcdef) where a,b,c,d,e,f are integers between 0 and 9

f(abcdef)=ghi

where g,h,i are integers between 10 and 99 and:

g=a*b

h=c*d

i=e*f

So, F(283749)= (2*8) (3*7) (4*9) or (16)(21)(36) or 162136

I'm sure there's probably some mathematical function or some more elegant way of explaining the relationship, but that's the pattern.

When I saw the answer of kbaumen: "227120.1635509848011539491375612" I couldn't help a little laugh, because he was so very near, less than 1% off. I wouldn't say something because it would be a hint. For a pure guess, it was pretty well done!