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|| SportsShooter.com: Member Message Board
Brain Teaser Damage
Worth Canoy, Photographer
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High Point | NC | USA | Posted: 11:43 AM on 09.17.06 |
->> Ok, to the elite group of mathmatical genius photographers, check out this link:
http://my.break.com/media/view.aspx?ContentID=129556
We are sitting in the media center at New Hampshire International Speedway trying to figure this out.
We know there is some kind of math at work, but we are lost! |
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Mike Frantel, Student/Intern, Photographer
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College Park | MD | USA | Posted: 11:56 AM on 09.17.06 |
->> For every 2 digit number there are a limited number of choices for what the solution is when you subtract that sum. For example, take 44. Subract 8, now it's 36. Take 40, subtract 4, it's 36 again. There is a certain set of these numbers. Another is 9, and there are more if you compute all the possibilities, but it's a finite set.
Basically every single one of these options (9, 36, whatever) is shown as the same symbol on that chart, but the symbols change each try so it's difficult to notice at first. So, the computer is really guessing a bunch of numbers, actually any possibility you could reach.
Does that make sense? |
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Mark Scheuern, Photographer
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Grand Blanc | MI | USA | Posted: 12:06 PM on 09.17.06 |
->> That's right. You can represent a 2 digit number as (10a + b). For example, 36 = 10x3 + 6. (The first digit is the tens place and the second the ones place). Adding the digits together gives you a + b. So taking the original number and subtracing the sum of the two digits is (10a + b) - (a + b) which is 9a. So you have to choose the symbol corresponding with 9, 18, 27, 36, etc. (every ninth digit) and those are all the same symbol.
Pretty clever trick!
Mark |
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Val Horvath, Photographer
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Shreveport | LA | USA | Posted: 3:03 PM on 09.17.06 |
->> Right, Mark. It is all PERFECTLY clear now.
:-) |
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Mark Scheuern, Photographer
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Grand Blanc | MI | USA | Posted: 5:49 PM on 09.17.06 |
->> Val, that was my wife's reaction when I showed her and explained it. That means I didn't do a very good job. Essentially, the operations they ask you to perform will always result in a number that's a multiple of 9 (and that can be proven, as above), so the symbol they show you is always the one that matches 9 and multiples of 9. You probably wouldn't notice that they repeat for each multiple of 9 since it asks you to stare at it for ten seconds. You'd find the first match and then stop looking around.
Mark |
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