Donkey Kong Forum

Other Classic Arcade Games => Classic Arcade Game Discussion => Topic started by: Weehawk on September 16, 2014, 01:20:37 pm

Title: Arcade Equation
Post by: Weehawk on September 16, 2014, 01:20:37 pm
(http://www.slither-gdi.net/qbert.jpg)

If:

DONKEY KONG = 3

CENTIPEDE = 2

BURGERTIME = 4

STAR WARS = 4

TEMPEST = 1

and

x = ( [ (FROGGER) * (GRAVITAR) ] / [ (SPACE INVADERS) * (KRULL) ] ) * (ZOOKEEPER)

where the asterisk ( "*" ) indicates multiplication and the slash ( "/" ) indicates division:

What is the numerical value of x ?

For the first person to post the correct answer that does not already have one, I have a t-shirt:

(http://www.slither-gdi.net/2014shirt.jpg)

If you already have one you can PM me the answer and I will credit you in the thread.

If you do post the correct answer, don't give the secret away so others will have to figure it out themselves.    <thefinger>
Title: Re: Arcade Equation
Post by: Weehawk on September 16, 2014, 07:51:01 pm
A few more data points:

SPECTAR = 3

PENGO = 2

RED BARON = 7

DIG DUG = 2

ASTEROIDS = 4
Title: Re: Arcade Equation
Post by: homerwannabee on September 16, 2014, 10:55:23 pm
Yeah I actually know the answer for once, but I already have the awesome shirt.
Title: Re: Arcade Equation
Post by: Weehawk on September 16, 2014, 11:15:50 pm
Yeah I actually know the answer for once, but I already have the awesome shirt.

Actually, you're on the right track, but still haven't gotten the number.
Title: Re: Arcade Equation
Post by: danman123456 on September 17, 2014, 06:47:19 am
Ha im on no track but my brain is like jell-o here. :D
Title: Re: Arcade Equation
Post by: Weehawk on September 17, 2014, 06:56:39 am
A couple of extreme cases:

JUNGLE KING = 0

BALLOON BOMBER = 11
Title: Re: Arcade Equation
Post by: DaLar on September 17, 2014, 12:56:40 pm
X = 9,6  :)
Title: Re: Arcade Equation
Post by: Weehawk on September 17, 2014, 01:25:40 pm
X = 9,6  :)

No, I'm sorry. There aren't two answers, those being 9 and 6.

Just kidding. I know you're from Europe and over there they use commas instead of decimal points to represent decimal points.  :P

The answer is 9.6. Please PM me your address and size for the shirt. (This won't be the first one I've sent to Denmark, believe it or not.)

Of course the real challenge here was to figure out how the numerical values are assigned to the game names (and that's a hint right there). I'll leave it undisclosed for a time in case anyone else still want to figure it out on their own.

When you have figured it out, feel free to gloat in the thread.    <stirpot>
Title: Re: Arcade Equation
Post by: Josephjo on September 17, 2014, 01:44:44 pm
Congrats DaLar

A=1
B=2
D=1
O=1
P=1
R=1

PB BOARD?

X = ( (3*4) / (1*5) ) * 4
Title: Re: Arcade Equation
Post by: Weehawk on September 17, 2014, 01:50:58 pm
Congrats DaLar

A=1
B=2
D=1
O=1
P=1
R=1

PB BOARD?

X = ( (3*4) / (1*5) ) * 4

QIX = 1
Title: Re: Arcade Equation
Post by: VON on September 17, 2014, 11:33:39 pm
Ah.  It finally came to me.  Good puzzle Weehawk = 8 



Title: Re: Arcade Equation
Post by: Weehawk on September 18, 2014, 08:21:53 am
Good puzzle Weehawk = 8

I suppose so. On the other hand:

GOOD PUZZLE WEEHAWK = 5
Title: Re: Arcade Equation
Post by: Weehawk on September 18, 2014, 06:08:55 pm
******************************************************* SPOILER ALERT *****************************************************

IF YOU ARE STILL TRYING TO FIGURE OUT THE KEY TO THIS, DO NOT READ FURTHER

******************************************************* SPOILER ALERT *****************************************************
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What determined the numerical value of the game names?

The number of enclosed spaces in the letters as they appear in standard uppercase.

The letters A, D, O, P, Q, and R each have 1. The letter B has two.

So the value, x, to be determined was given as:

x = ( [ (FROGGER) * (GRAVITAR) ] / [ (SPACE INVADERS) * (KRULL) ] ) * (ZOOKEEPER)

First, let's actually color code the parentheses for clarity. The parentheses that have no others embedded in them will be red, the parentheses (shown as square brackets) that only have red parentheses in them will be blue, and the ones that have the blue brackets in them will be green.

x = ( [ (FROGGER) * (GRAVITAR) ] / [ (SPACE INVADERS) * (KRULL) ] ) * (ZOOKEEPER)

Now let's substitute the values:

FROGGER = 3

GRAVITAR = 4

SPACE INVADERS = 5

KRULL = 1

ZOOKEEPER  = 4

which gives us:

x = ( [ (3) * (4) ] / [ (5) * (1) ] ) * (4)

We can now remove the red parentheses as they don't contain any expressions:

x = ( [ 3 * 4 ] / [ 5 * 1 ] ) * 4

Then do the arithmetic in the blue brackets:

x = ( [ 12 ] / [ 5 ] ) * 4

The blue brackets now don't contain any expressions and can be removed:

x = ( 12 /  5  ) * 4

Then do the arithmetic in the green parentheses and remove them(I'll use decimal notation for the fraction):

x = 2.4 * 4

And finally.

x = 9.6

QED
Title: Re: Arcade Equation
Post by: homerwannabee on September 18, 2014, 06:40:01 pm
I'm ticked off that I couldn't do basic order of operations.  Low point for math in my adult life.  Funny thing is I had no problem figuring out the pattern.  Which surprisingly stumped some real smart people here.
Title: Re: Arcade Equation
Post by: syscrusher on September 18, 2014, 08:12:24 pm
I'm ticked off that I couldn't do basic order of operations.  Low point for math in my adult life.  Funny thing is I had no problem figuring out the pattern.  Which surprisingly stumped some real smart people here.

You actually don't need any parentheses for this equation since there is only multiplication and division.  You can remove them all and work it left to right.
Title: Re: Arcade Equation
Post by: marinomitch13 on September 18, 2014, 08:39:22 pm
How were we to know what V and Z equaled? This is what was stumping me.
Title: Re: Arcade Equation
Post by: homerwannabee on September 18, 2014, 09:16:51 pm
How were we to know what V and Z equaled? This is what was stumping me.
V and z equal nothing because there are no closed spaces. 
Title: Re: Arcade Equation
Post by: Weehawk on September 18, 2014, 09:21:45 pm
You actually don't need any parentheses for this equation since there is only multiplication and division.  You can remove them all and work it left to right.

Except you'd get a different answer.

 FailFish

If it was all multiplication you would be correct.

Title: Re: Arcade Equation
Post by: SanTe on September 19, 2014, 12:29:32 am
You actually don't need any parentheses for this equation since there is only multiplication and division.  You can remove them all and work it left to right.

He knows.  He was applying the "Alpiger Distortion Field"[tm] to confuse people.   (((((<Pigger>)))))
Title: Re: Arcade Equation
Post by: marinomitch13 on September 19, 2014, 12:40:12 am
How were we to know what V and Z equaled? This is what was stumping me.
V and z equal nothing because there are no closed spaces.

Oh, wow. My eyes totally skipped over the explanation for the number values.

"The number of enclosed spaces in the letters as they appear in standard uppercase."

My bad. Thanks for answering my stupid question, George!  ;D

Sadly, this means I solved all the numerical values with actual equations without ever realizing they were correlated with the enclosed spaces in their uppercase symbols! Shucks!
Title: Re: Arcade Equation
Post by: ChrisP on September 19, 2014, 01:38:13 am
This thread makes me feel like Allen.
Title: Re: Arcade Equation
Post by: stella_blue on September 19, 2014, 06:03:27 am

I was all over the place on this one.

I defined an assortment of numbering schemes, systematically assigning values to the letters A-Z and the space character.  I used those values in a series of increasingly contrived arithmetic equations, along with a variety of other text properties:
You get the idea.  I focused on the above and ignored the visual element almost entirely, other than the aforementioned count of various line types contained within each character string.

Much like "DWWNP" versus "dwwnp", the "GOOD PUZZLE WEEHAWK" clue should have tipped me off.

Title: Re: Arcade Equation
Post by: syscrusher on September 19, 2014, 09:13:38 am
You actually don't need any parentheses for this equation since there is only multiplication and division.  You can remove them all and work it left to right.

Except you'd get a different answer.

 FailFish

If it was all multiplication you would be correct.

No, you still get 9.6.

3 * 4 = 12
12 / 5 = 2.4
2.4 * 4 = 9.6
Title: Re: Arcade Equation
Post by: Weehawk on September 19, 2014, 09:33:07 am
You actually don't need any parentheses for this equation since there is only multiplication and division.  You can remove them all and work it left to right.

Except you'd get a different answer.

 FailFish

If it was all multiplication you would be correct.

No, you still get 9.6.

3 * 4 = 12
12 / 5 = 2.4
2.4 * 4 = 9.6

Oh. Only by sheer luck in this particular case, though. If the 1 was any other number the result would be different.

The Associative Property (http://en.wikipedia.org/wiki/Associative_property) does not apply to division.
Title: Re: Arcade Equation
Post by: syscrusher on September 19, 2014, 09:39:21 am
Yeah, the 1 might have something to do with it. Kappa
Title: Re: Arcade Equation
Post by: stella_blue on September 19, 2014, 12:46:02 pm
Yeah, the 1 might have something to do with it. Kappa

And you want to be my latex salesman.   ::)