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While walking around aimlessly and bored, you find a piece of paper on the sidewalk containing a heck of a lot of numbers. Normally someone seeing that would be like "ain't nobody got time for that" but you are just barely curious enough to wonder if there could be a secret meaning in there somewhere. Your instinct says that it actually won't take very long at all, and that when you figure it out, they will give you a secret word.

What is the secret word the numbers refer to?

(The numbers have been transcribed here for your convenience)

Solve me if you dare.

Full resolution image (not necessary don't waste time on it): http://i.imgur.com/2xU0enM.png

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5
  • 3
    $\begingroup$ ain't nobody got time for that $\endgroup$
    – Rand al'Thor
    May 18, 2015 at 22:40
  • $\begingroup$ @randal'thor my last puzzle got solved too quickly so I made this one slightly tougher. There are enough clues to solve though so I don't think I'll need to give hints. $\endgroup$
    – Quark
    May 18, 2015 at 22:44
  • $\begingroup$ I was just quoting you! :-)) $\endgroup$
    – Rand al'Thor
    May 18, 2015 at 22:46
  • $\begingroup$ @randal'thor ah okay I'm always paranoid that my puzzles may drift towards busywork territory if I'm not careful. $\endgroup$
    – Quark
    May 18, 2015 at 22:58
  • $\begingroup$ I moved the numbers to a Pastebin; if you want to keep them in the post for some reason, just roll it back. $\endgroup$
    – mdc32
    May 19, 2015 at 3:55

3 Answers 3

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First, I copy-pasted the numbers into Mathematica:

str = "181 ... 29";

Next I convert the string to a list of numbers:

numbers = FromDigits /@ StringSplit[str];

Now, is this a decimal ASCII string?

FromCharacterCode[Take[numbers, 10]]
(* "µæ\.1dµæ\.1dµæ\.1dµ" *)

Evidently not. Next I look at the letter frequencies:

Histogram[numbers, {1}]

enter image description here

It looks like there are just a few peaks. Are all three main peaks the same height?

Commonest[numbers]
(* {181, 230, 29} *)

Yes, they are. In fact, looking at the numbers, it starts off with this triple repeated several times (why did I not notice that faster?). Breaking into threes, we get a list 1600 elements long:

Length[numbers] / 3
(* 1600 *)

A large square of triples? This smells like an image...

Image[Partition[Partition[numbers, 3], Sqrt[1600]], "Byte", Magnification -> 8]

enter image description here

So the word is, "stars."

Altogether this took around a minute thirty, a testament to the power of Mathematica.

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3
  • $\begingroup$ I'm definitely going to make it past one hour for part 3 >.< $\endgroup$
    – Quark
    May 18, 2015 at 23:31
  • 2
    $\begingroup$ Wait until I tell you how long it took me to solve it... $\endgroup$
    – 2012rcampion
    May 18, 2015 at 23:32
  • 1
    $\begingroup$ Nice job, this makes me want to learn Mathematica. Just two lines of code needed to solve this. $\endgroup$
    – Quark
    May 19, 2015 at 0:31
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I am not fast enough with programming/computer stuff to beat 2012rcampion, but here's my image screenshotted from Excel, and an explanation:

enter image description here

Explanation: The numbers come in groups of three, and there are 1600 groups of three numbers. Throw them into a 40x40 grid, and translate each group of three into the RGB color scheme. That gives you a specific color for each "square" of the matrix, and gives you the message shown above: The word is stars!

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3
  • $\begingroup$ Very interesting way of solving it since it's done in a way that most people would be familiar with. Did you do the cell coloring by hand or is there some excel trick for this? $\endgroup$
    – Quark
    May 19, 2015 at 0:27
  • $\begingroup$ There probably is an Excel trick for it, but all I did was a Find All for each sequence of numbers and then selected all of them and did a fill based on the RGB codes. $\endgroup$
    – VictorHenry
    May 19, 2015 at 0:45
  • $\begingroup$ FYI for future generations: VBA could have cycled through the cells and colored them for you. For Each cell In Cells: arr = Split(cell.Value): cell.Interior.Color = RGB(arr(0), arr(1), arr(2)): Next $\endgroup$
    – Engineer Toast
    May 19, 2015 at 12:54
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Read about How to open the JavaScript console in different browsers then copy and paste the code below into the console, press enter, then scroll to the bottom of the page to see the resulting image.

var data=[].filter.call(document.getElementsByTagName('pre'),
            function(e){ return e.textContent && e.textContent.indexOf('181 230')==0 })
        [0].textContent.split(' ').map(
            function(e){ return parseInt(e,10)} );

var c=document.createElement('canvas');
document.body.appendChild(c);
c.width=40;
c.height=40;
var p=c.getContext('2d').getImageData(0,0,40,40);
for(var i=0; i<1600; i++){
        p.data[4*i]=data[3*i];
        p.data[4*i+1]=data[3*i+1];
        p.data[4*i+2]=data[3*i+2];
        p.data[4*i+3]=255;
};
c.getContext('2d').putImageData(p,0,0);
c.style.width="80%";
c.style.margin="10%"
c.style.imageRendering='pixelated';

181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 255 201 14 181 230 29 181 230 29 181 230 29 181 230 29 255 201 14 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 255 201 14 181 230 29 181 230 29 181 230 29 255 201 14 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 255 201 14 181 230 29 181 230 29 255 201 14 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 255 201 14 181 230 29 255 201 14 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 181 230 29 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4
  • $\begingroup$ The text was moved out of the question, so this code doesn't work anymore. $\endgroup$
    – Scimonster
    May 19, 2015 at 13:55
  • $\begingroup$ @Scimonster - fixed that, should work now. $\endgroup$
    – Bob
    May 19, 2015 at 16:24
  • $\begingroup$ I thought I knew JavaScript but apparently I don't since I'd never have been able to come up with this. I think this is the first time I've seen it used to solve a puzzle on here. $\endgroup$
    – Quark
    May 19, 2015 at 18:20
  • $\begingroup$ @Quark Very handy for puzzles like this and always ready to go when you're browsing the internet. $\endgroup$
    – Bob
    May 19, 2015 at 18:35

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