number theory puzzle? (1436 hits)
Category: NoneRating: 0.55 on 72 reviews (Rate this item) (V)
Submitted by Adam Poirier (View user info) at 2005-04-05 19:45:40 EDT
All you brainiacs out there, help me out. I took a sample test and I did really well - I answered all the questions right except for one number theory question that I can't figure out for the life of me. I know what the answer is but I cannot figure out why (the sample tests give the answers, but no explanation). You know what's funny? The theories are fairly complex and I was able to get them pretty quick, but this one is just flat out buggin the hell out of me and I'm willing to bet a million bucks the solution is about as easy as it gets. Here's the problem: (the underscores are the next series of numbers)
#1) 3 2 7 12 13 4 103 22 _ _
Possible answers:
a) 55, 40
b) 33, 55
c) 66, 24
d) 30, 43
Ok all you geniuses - what's the answer and WHY? Thanks!
User Reviews
Submitted by fluff (user info) at 2005-11-20 12:27:16 EST (#)
Ranking: 2
I actually was surprised at how rude I was. I don't even remember why...
Submitted by DonovanMD (user info) at 2005-07-14 17:47:21 EDT (#)
Ranking: 2
Sorry it took so long.
http://www.ubersite.com/m/70649
Submitted by bulldog (user info) at 2005-05-21 14:23:47 EDT (#)
Ranking: -2
llama fucker
Submitted by Feijuada (user info) at 2005-05-21 14:09:00 EDT (#)
Ranking: -2
Motherfucker.
Submitted by Shlongy (user info) at 2005-04-22 17:25:19 EDT (#)
Ranking: -2
Submitted by Santa_Claus_ (user info) at 2005-04-22 04:51:11 (#)
Ranking: -2
Submitted by rad1101 (user info) at 2005-04-22 03:09:09 (#)
Ranking: -2
Submitted by Feijuada (user info) at 2005-04-22 01:17:29 (#)
Ranking: -2
Submitted by Shlongy (user info) at 2005-04-16 22:11:36 (#)
Ranking: -2
Homo.
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That made me laugh.
Me, too. Even more, now.
Submitted by Santa_Claus_ (user info) at 2005-04-22 04:51:11 EDT (#)
Ranking: -2
Submitted by rad1101 (user info) at 2005-04-22 03:09:09 (#)
Ranking: -2
Submitted by Feijuada (user info) at 2005-04-22 01:17:29 (#)
Ranking: -2
Submitted by Shlongy (user info) at 2005-04-16 22:11:36 (#)
Ranking: -2
Homo.
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That made me laugh.
Submitted by rad1101 (user info) at 2005-04-22 03:09:09 EDT (#)
Ranking: -2
Submitted by Feijuada (user info) at 2005-04-22 01:17:29 (#)
Ranking: -2
Submitted by Shlongy (user info) at 2005-04-16 22:11:36 (#)
Ranking: -2
Homo.
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That made me laugh.
Submitted by Feijuada (user info) at 2005-04-22 01:17:29 EDT (#)
Ranking: -2
Submitted by Shlongy (user info) at 2005-04-16 22:11:36 (#)
Ranking: -2
Homo.
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That made me laugh.
Submitted by Shlongy (user info) at 2005-04-16 22:11:36 EDT (#)
Ranking: -2
Homo.
Submitted by Crystle (user info) at 2005-04-11 13:50:23 EDT (#)
Ranking: 0
You're right - I'll concede that macadamia nuts are to kill for, although I've never had any Australian nuts (he he he) just the Hawaiian variety. And I had a feeling you're jelly was our jello - it would be rather weird with peanut butter and bread.
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Anyway, OUR Jelly is Gelatine and colours/flavours i think. I've never made any to be honest. After looking at google pics for a while i realise that we call "Jell-o" Jelly. Any Jam without pulp is called Jam.
PS. Your peanut butter may be better (I don't know yank peanuts so i'll have to just accept the possibility) but Aussie Macadamia nuts are to kill for.
Submitted by Feijuada (user info) at 2005-04-10 00:12:49 EDT (#)
Ranking: -2
No Comment
Submitted by MyNameIsTim (user info) at 2005-04-09 07:41:53 EDT (#)
Ranking: 0
i bet john nash could figure it out faster than i did
Submitted by williamson (user info) at 2005-04-09 07:14:27 EDT (#)
Ranking: 2
Submitted by Crystle (user info) at 2005-04-08 12:28:19 (#)
Ranking: 0
For us, the difference between jam and jelly is if there is any fruit pulp in it. Pulp free= jelly, whole fruit used = jam.
What's YOUR jelly? (and our peanut butter is better too!)
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Submitted by williamson (user info) at 2005-04-07 20:11:54 (#)
Ranking: 2
Submitted by Yes (user info) at 2005-04-07 19:56:24 (#)
Ranking: 0
you can use either, its up to you to choose.
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I have tried a peanut butter and jam sandwich before just to see if you guys had some merit in your sandwich making abilities. Pretty good considering it doesn't take much effort.
Although the concept of mixing jelly with bread and peanut butter seems completely foreign to me
-=-=-=-=-=
WILLIAMSON: Whoa fuck. You call Jam without pulp Jelly? Fucking insane.
Anyway, OUR Jelly is Gelatine and colours/flavours i think. I've never made any to be honest. After looking at google pics for a while i realise that we call "Jell-o" Jelly. Any Jam without pulp is called Jam.
PS. Your peanut butter may be better (I don't know yank peanuts so i'll have to just accept the possibility) but Aussie Macadamia nuts are to kill for.
Submitted by CanucksFan (user info) at 2005-04-09 03:32:51 EDT (#)
Ranking: 0
Submitted by Oscar (user info) at 2005-04-08 22:56:56 (#)
Ranking: 0
the answer is D for Dipshit
Even odd
even odd
even odd
even odd
3 2
7 12
13 4
103 22
a) 55, 40 odd even
b) 33, 55 odd odd
c) 66, 24 even even
d) 30, 43 even odd
if pattern recognition is "difficult theory" then stick you head back up your ass.
This isn't any number pattern in the encyclopedia of integer sequences, so it's nothing significant(unlike the fibb sequence and many more), it isn't based on a discreet formula. because the derivitives of the formula don't even out, and i don't know enought about transcendal functions to comment on them.
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Way to make yourself look like a complete retard!
It apparently is a 'difficult theory' since you can't even tell the difference between an odd and even number.
Submitted by Oscar (user info) at 2005-04-08 22:56:56 EDT (#)
Ranking: 0
the answer is D for Dipshit
Even odd
even odd
even odd
even odd
3 2
7 12
13 4
103 22
a) 55, 40 odd even
b) 33, 55 odd odd
c) 66, 24 even even
d) 30, 43 even odd
if pattern recognition is "difficult theory" then stick you head back up your ass.
This isn't any number pattern in the encyclopedia of integer sequences, so it's nothing significant(unlike the fibb sequence and many more), it isn't based on a discreet formula. because the derivitives of the formula don't even out, and i don't know enought about transcendal functions to comment on them.
Submitted by CanucksFan (user info) at 2005-04-08 14:33:30 EDT (#)
Ranking: 0
I'm not really seeing the difference here..where exactly are you guys from?
Submitted by Crystle (user info) at 2005-04-08 12:28:19 EDT (#)
Ranking: 0
For us, the difference between jam and jelly is if there is any fruit pulp in it. Pulp free= jelly, whole fruit used = jam.
What's YOUR jelly? (and our peanut butter is better too!)
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Submitted by williamson (user info) at 2005-04-07 20:11:54 (#)
Ranking: 2
Submitted by Yes (user info) at 2005-04-07 19:56:24 (#)
Ranking: 0
you can use either, its up to you to choose.
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I have tried a peanut butter and jam sandwich before just to see if you guys had some merit in your sandwich making abilities. Pretty good considering it doesn't take much effort.
Although the concept of mixing jelly with bread and peanut butter seems completely foreign to me.
Submitted by williamson (user info) at 2005-04-07 20:11:54 EDT (#)
Ranking: 2
Submitted by Yes (user info) at 2005-04-07 19:56:24 (#)
Ranking: 0
you can use either, its up to you to choose.
-=-=-=-=-=-=-=-=-=-=-
I have tried a peanut butter and jam sandwich before just to see if you guys had some merit in your sandwich making abilities. Pretty good considering it doesn't take much effort.
Although the concept of mixing jelly with bread and peanut butter seems completely foreign to me.
Submitted by Yes (user info) at 2005-04-07 19:56:24 EDT (#)
Ranking: 0
you can use either, its up to you to choose.
Submitted by williamson (user info) at 2005-04-07 19:12:26 EDT (#)
Ranking: 2
Submitted by Yes (user info) at 2005-04-07 19:08:46 (#)
Ranking: 0
PB&J sammiches are teh r0zzors
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But what are they? Is it jam or jelly? You guys say jelly but since when did an American call anything by it's proper term anyway?
ALUMINUM!? BAHAHA
Submitted by Yes (user info) at 2005-04-07 19:08:46 EDT (#)
Ranking: 0
PB&J sammiches are teh r0zzors
Submitted by williamson (user info) at 2005-04-07 18:56:46 EDT (#)
Ranking: 2
And noone answered my sandwich question.
Submitted by williamson (user info) at 2005-04-07 18:56:18 EDT (#)
Ranking: 2
Submitted by Yes (user info) at 2005-04-07 18:39:02 (#)
Ranking: 0
Jell-O is not jelly or jam... It's gelatin powder (protein) that is mixed with hot water and as it cools it traps tiny particles of the water and makes a jelly like thing... A better question would be: where does the protein in Jell-O come from? The source of the protein in Jell-O is "hide trimmings," animal tissue that is rendered, purified, filtered, and then purified again, leaving a protein called collagen. It's so purified that the FDA doesn't regard it as a meat product.
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Ah. I see. It's something that most non-Americans have heard of but have no idea what it is.
Submitted by williamson (user info) at 2005-04-07 18:54:31 EDT (#)
Ranking: 2
Submitted by Sphagnum (user info) at 2005-04-07 18:43:38 (#)
Ranking: 0
Surely the odds and evens theory can't be right. Number sequences generally have a more complex mathematic formula than that. If this was a test for kindergarten basic maths I would believe that.
Was it?
I have looked at it for about 5 minutes and can't come up with an answer though.
by the way, my brain just explo....
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I have solved the equation and it's presented as simple as it's going to get. It will be O&E's.
Submitted by Sphagnum (user info) at 2005-04-07 18:43:38 EDT (#)
Ranking: 0
Surely the odds and evens theory can't be right. Number sequences generally have a more complex mathematic formula than that. If this was a test for kindergarten basic maths I would believe that.
Was it?
I have looked at it for about 5 minutes and can't come up with an answer though.
by the way, my brain just explo....
Submitted by Yes (user info) at 2005-04-07 18:39:02 EDT (#)
Ranking: 0
Jell-O is not jelly or jam... It's gelatin powder (protein) that is mixed with hot water and as it cools it traps tiny particles of the water and makes a jelly like thing... A better question would be: where does the protein in Jell-O come from? The source of the protein in Jell-O is "hide trimmings," animal tissue that is rendered, purified, filtered, and then purified again, leaving a protein called collagen. It's so purified that the FDA doesn't regard it as a meat product.
Submitted by Shlongy (user info) at 2005-04-07 18:33:40 EDT (#)
Ranking: -2
Stay out of my posts, Poindexter. Shouldn't you be suckling on your mommy's right breast right about now, little boy?
Submitted by williamson (user info) at 2005-04-07 18:21:07 EDT (#)
Ranking: 2
Submitted by CanucksFan (user info) at 2005-04-07 18:08:14 (#)
Ranking: 0
So its solved then..feel free to continue talking about jello I guess
WILLIAMSON: What is Jello anyway? Is it Jelly? I'm not American. Don't you guys have Peanut butter and Jelly sandwiches? Is that actual jelly or jam? Oh so very confused.
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Submitted by Crystle (user info) at 2005-04-07 14:20:11 (#)
Ranking: 0
Sadly, I have. Just not at my current job. Now I get to babysit a boss, printers and phones. Not fun. Databases at least have some logic behind them...
Williamson: Logic? You haven't seen this database.
Submitted by CanucksFan (user info) at 2005-04-07 18:08:14 EDT (#)
Ranking: 0
So its solved then..feel free to continue talking about jello I guess
Submitted by Crystle (user info) at 2005-04-07 14:20:11 EDT (#)
Ranking: 0
Sadly, I have. Just not at my current job. Now I get to babysit a boss, printers and phones. Not fun. Databases at least have some logic behind them...
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Submitted by williamson (user info) at 2005-04-06 23:35:58 (#)
Ranking: 2
Submitted by Crystle (user info) at 2005-04-06 16:51:30 (#)
Ranking: 0
Hmmm - do you know how many funny looks you get when you're out buying 100 gallons of cherry jello?
and wow - I thought I was bored at work!
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You've obviously never experienced the joys of working on a computer database.
Submitted by williamson (user info) at 2005-04-07 01:58:48 EDT (#)
Ranking: 2
Submitted by Siren (user info) at 2005-04-07 01:46:00 (#)
Ranking: 2
Good job, willy. I'm HORRIBLY jealous of math heads. I couldn't do it to save my life.
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Thanks hon. All in a day's work.
Submitted by Siren (user info) at 2005-04-07 01:46:00 EDT (#)
Ranking: 2
Good job, willy. I'm HORRIBLY jealous of math heads. I couldn't do it to save my life.
Submitted by williamson (user info) at 2005-04-06 23:35:58 EDT (#)
Ranking: 2
Submitted by Crystle (user info) at 2005-04-06 16:51:30 (#)
Ranking: 0
Hmmm - do you know how many funny looks you get when you're out buying 100 gallons of cherry jello?
and wow - I thought I was bored at work!
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You've obviously never experienced the joys of working on a computer database.
Submitted by CanucksFan (user info) at 2005-04-06 23:28:24 EDT (#)
Ranking: 0
What does how I look have to do with anything?
I am studying for an entrance exam so I'm brushing up on number theory, so fuck off.
Submitted by Shlongy (user info) at 2005-04-06 22:55:29 EDT (#)
Ranking: -2
Your picture fits PERFECTLY with this post, Astro. Now it's all starting to make sense.
You're a dweeb. Congrats.
Submitted by CanucksFan (user info) at 2005-04-06 22:27:09 EDT (#)
Ranking: 0
Wanna point out this review, shlongy boy?
Submitted by williamson (user info) at 2005-04-06 18:55:24 EDT (#)
Ranking: 2
HSubmitted by CanucksFan (user info) at 2005-04-06 15:04:07 (#)
Ranking: 0
Your a goddam genius...
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No, my year 12 maths teacher was a genius.
Thank you Mr O'Brien!
Submitted by fluff (user info) at 2005-04-06 17:47:02 EDT (#)
Ranking: -2
know what
?
You're a disgusting piece of shit.
Not because of your post. Because of one single review of yours.
Find out yourself asshole.
did i mention?
-2 DIE!
Submitted by fluff (user info) at 2005-04-06 17:41:42 EDT (#)
Ranking: -2
No Comment
Submitted by Crystle (user info) at 2005-04-06 16:51:30 EDT (#)
Ranking: 0
Hmmm - do you know how many funny looks you get when you're out buying 100 gallons of cherry jello?
and wow - I thought I was bored at work!
Submitted by CanucksFan (user info) at 2005-04-06 15:04:07 EDT (#)
Ranking: 0
Your a goddam genius...
Submitted by williamson (user info) at 2005-04-06 07:55:42 EDT (#)
Ranking: 2
Eureka!
Ok, here's the deal: you can believe it fits either the odd and even pattern or you can believe this:
Every real set of numbers has patterns that fit it.
This is what fits your number sequence:
*Where "n" is the order in the pattern*
ie 3 2 7 12 13 4 103 22 55 40
n=1 n=2 n=3 n=4 etc..
-0.02391424163n^9 + 1.149553572n^8 - 23.60419947n^7 + 270.6201389n^6 - 1900.167477n^5 + 8426.592015n^4 - 23438.77505n^3 + 39076.6383n^2 - 34985.42937n +12576
Now, either they expected you to figure that out in your head OR it was odds and even. Enjoy.
Submitted by Sarcasticus (user info) at 2005-04-06 07:22:55 EDT (#)
Ranking: 0
Aside from even/odd my only other thought is this:
Let m be a modulus and let x be any number mod m. Let each element of the pattern be denoted by P, where the nth element is denoted by P_n and P_0=3.
Then, P_1 = 3*x (mod m)
P_2 = P_1 * x (mod m)
etc...
P_k = P_(k-1) * x (mod m)
Now find out what m & x are. (m > 103)
Submitted by jwlmar10 (user info) at 2005-04-06 03:18:24 EDT (#)
Ranking: 2
Submitted by CanucksFan (user info) at 2005-04-05 20:31:05 (#)
Ranking: 0
55,40 IS the correct answer, according to the key at least.
(Still not sure about the odd,even theory but very nicely done)
Of course this is the correct theory! Why do you think it must be more difficult? Don't forget that you got this problem wrong, so it is obviously difficult for some people!
Submitted by Siren (user info) at 2005-04-06 02:47:13 EDT (#)
Ranking: 2
...or Jello.
Submitted by Siren (user info) at 2005-04-06 02:47:02 EDT (#)
Ranking: 2
How anyone can figure these things out is beyond me. I took a math class once that taught me how to pick out some number patterns, but past a certain point, my brain turns to mush.
Submitted by williamson (user info) at 2005-04-06 02:28:15 EDT (#)
Ranking: 2
Woo! Jello!
I'll have a formula for you in less than 24 hours.
Problem is I'm at work at the moment, and don't have my calculator and am not about to start working out ten simultaneous equations on paper.I have a graphics calculator at home (i think americans call them scientific calculators?)
Um, anyway, anything with real numbers (discluding infinite numbers like pi or complex numbers such as the square root of negative numbers) has a pattern if you have enough information.
The answer to this is odds and evens because there is no pattern here with this info. If we knew more info we would know the pattern.
At the moment it's like "Which is next in this pattern of 2, 4, _ "
It could be anything 6 or 8.
So i have put that in the 55 and 40 to work in a pattern to fit them being the answer and "invented" new information to create a pattern. (That's like me saying the pattern is now 2, 4, 8, _ You know the answer now)
That pattern doubles however the pattern i have is slightly more complex and works with values to the power of 9. It's very unstable however (so unstable in fact, the next number after 55 and 40 is -21497)
I just need a calc to simplify the answer into a formula form and then I'll show you tomorrow.
Why'd I bother?: I wanted to see if i still remembered how to do pattern recognition and i didn't feel like working anyway.
Tomorrow you'll be presented with a formula that will enable you the ability to find any number in the pattern. So if you want to know the 100th number in the pattern you just sub in "100" in place of a pro-numeral.
This is assuming A) I could be bothered doing it B) I haven't made a careless error and my numbers are fucked.
Submitted by rollerboognish (user info) at 2005-04-06 02:09:02 EDT (#)
Ranking: 2
Williams, if there actually IS another answer, I'll----oh, I don't know what.
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I think it should have to have something to do with the jello.
Submitted by Crystle (user info) at 2005-04-05 22:56:18 EDT (#)
Ranking: 0
Ok, rollerboo, let's pull out the jello filled kiddy pool and have at it. And it looks like williams wants in too? But before we actually climb in, I have to certify that both of you are over 18 so that I won't be molesting minors or anything.
Williams, if there actually IS another answer, I'll----oh, I don't know what.
Submitted by jgreening (user info) at 2005-04-05 22:51:26 EDT (#)
Ranking: 2
*eye twitches*
Submitted by williamson (user info) at 2005-04-05 22:39:34 EDT (#)
Ranking: 2
Submitted by rollerboognish (user info) at 2005-04-05 22:34:21 (#)
Ranking: 2
haha, nice, crystle. maybe a fight would have been more fun, though. As far as the actual answer to this thing, I think you were right. I don't know what other pattern you could get with an outlier like 103 in there.
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I nearly have it except i need a graphics calculator to solve 10 simultaneous equations.
Some of the numbers are about 9 digits long, i can't work that out on paper without a week.
Submitted by Tastycat (user info) at 2005-04-05 22:39:01 EDT (#)
Ranking: 2
it's either <<odd, even>> or has something to do with psalms.
Submitted by rollerboognish (user info) at 2005-04-05 22:34:21 EDT (#)
Ranking: 2
haha, nice, crystle. maybe a fight would have been more fun, though. As far as the actual answer to this thing, I think you were right. I don't know what other pattern you could get with an outlier like 103 in there.
Submitted by Crystle (user info) at 2005-04-05 21:50:04 EDT (#)
Ranking: 1
Rollerboo - I also rechecked and found that it could be spelled multiple ways, and was going to come beg apoligies for sounding like a pompous ass. So there you go - a terribly heated fight in the works :-)
Submitted by williamson (user info) at 2005-04-05 21:44:40 EDT (#)
Ranking: 2
Nearly there. I have to solve 10 simultaneous equations though. I need a graphics calc. Anyone know a good website that can do that for me?
Submitted by Degreeless_Capibara (user info) at 2005-04-05 20:55:01 EDT (#)
Ranking: -2
Williamson, please don't bring up extrapolations. Terrible memories. Finding the root formula of blah I hate math.
Submitted by williamson (user info) at 2005-04-05 20:45:55 EDT (#)
Ranking: 2
Wait, a small error in my calcs... I have to start over. hahaha
Submitted by G-prime (user info) at 2005-04-05 20:45:19 EDT (#)
Ranking: 2
Have another since I'm guessing your Canadian and I suck at math.
Submitted by G-prime (user info) at 2005-04-05 20:44:50 EDT (#)
Ranking: 2
Here is your deeded +2.
Submitted by williamson (user info) at 2005-04-05 20:43:18 EDT (#)
Ranking: 2
It's not a quadratic/cubic/to the fourth /fifth/whatever equation.
I just did a trick i learnt in high school maths where you find the equation by finding the fifferences whatever... there was no pattern in the old a^7 + b^6 + c^5 etc sense. I extrapolated it as far as i could (all the way to about the 7th power) and no pattern was found.
So i made the next number in the series (the ones we don't know) fit the last possible extrapolation to create a pattern. Then i could work backwards and find the number that would fit the pattern and be the next number (the first one we want to know).
Unfortunately it came out to be -2898 (not one of the options).
Just for the sake of it i'll see if i can find the formula i created to fit this. If i can remember how we did it in HS.
Submitted by Degreeless_Capibara (user info) at 2005-04-05 20:40:18 EDT (#)
Ranking: 0
Suck it trebek.
Submitted by rollerboognish (user info) at 2005-04-05 20:39:23 EDT (#)
Ranking: 0
http://en.wikipedia.org/wiki/Occam's_Razor
this article mentions that it can be spelled multiple ways, so we're probably both right. i googled "akram" and got some middle eastern software company or something. i'm not trying to start an argument or anything, like i said, it can probably be spelled either way.
Submitted by Crystle (user info) at 2005-04-05 20:33:24 EDT (#)
Ranking: 1
SWEET! WOOT WOOT! I'd still like to see if any other theories work....haven't come up with any myself, but I could have blown my brain off track with the odd/even.
Good to know that I got the right numbers at least.
Submitted by CanucksFan (user info) at 2005-04-05 20:31:05 EDT (#)
Ranking: 0
55,40 IS the correct answer, according to the key at least.
(Still not sure about the odd,even theory but very nicely done)
Submitted by Crystle (user info) at 2005-04-05 20:25:26 EDT (#)
Ranking: 1
I did spell it wrong, but it was a minor typo - it's Akram (google it)
Submitted by rollerboognish (user info) at 2005-04-05 20:20:18 EDT (#)
Ranking: 0
i think it's spelled "Occam"
Submitted by Crystle (user info) at 2005-04-05 20:15:12 EDT (#)
Ranking: 1
I was crunching out things like "squared, minus previous number plus prime root" and five or six other things, nothing else works. I'm still working on it though. Good thing I don't actually want to do any of the work they're paying me for....
Akrahm's razor!!
Submitted by CanucksFan (user info) at 2005-04-05 20:12:25 EDT (#)
Ranking: 0
It's possible...but that would be TOO easy..
Submitted by williamson (user info) at 2005-04-05 20:09:34 EDT (#)
Ranking: 2
3 2 7 12 13 4 103 22 $Texas?
That's my guess. I'll keep working on it til i get it. I don't think it's the odd even thing.
Submitted by Crystle (user info) at 2005-04-05 20:01:36 EDT (#)
Ranking: 1
1) 3 2 7 12 13 4 103 22 _ _ 55, 40
Easy - odd, even, odd, even, odd, even
But dammit, you made me think!
Submitted by Sofa_Ace (user info) at 2005-04-05 19:57:08 EDT (#)
Ranking: 2
Did you just pull numbers out of your ass to drive people insane? If so, good job. If not, I guess somebody might figure it out.
Submitted by JonnyX (user info) at 2005-04-05 19:56:30 EDT (#)
Ranking: 1
eleventy-seven, and fitty.
That's my story and I'm sticking to it.