Finding number between 0-99

Hi (Hi)

I have a very unique question that has alot of ands, ifs & buts. I am not looking for a definitive answer, because there isn't one. Just want some logical methods from the math guru's!

The problem: There are 11 sliders, each from 0 to 99. Each slider has an optimum number. Depending on how close to perfect you are there is an overall percentage.

You have 10 chances of getting to 100% (Perfect). There are hints (Low/High) for each slider to help you on your first chance. You may get 0 to 3 suggestions on what to change after your first attempt, either decrease or increase the slider (You wont get any suggestion other then the intial hints on the 1st attempt).

Example: Hints
Slider 1 = High Slider 2 = High Slider 3 = Low Slider 4 = High Slider 5 = Low Slider 6 = High Slider 7 = High Slider 8 = Low Slider 9 = Low Slider 10 = Low Slider 11 = High
Sliders
Slider 1 = 75 Slider 2 = 75 Slider 3 = 25 Slider 4 = 75 Slider 5 = 25 Slider 6 = 75 Slider 7 =75 Slider 8 = 25 Slider 9 = 25 Slider 10 = 25 Slider 11 = 75

I figure selecting between the Hints bound would be logical. Maybe its not & I can't explain why I think it is logical, but I think it is!?!?

So after the 1st run you get 78% perfect. You also get 3 suggestions. Slider 3 25> Slider 7 <75 & slider 10 <25.

I was using a simple formula that I know isn't mathmatically correct, but it worked (Most of the time). (100-percent)/suggestions - so in this circumstance it would be (100-78)/3 = 7 (rounded). So I would move each slider by 7.

What would be the most logical method of chaging the slider for those suggestions?

I know the question is rather odd in itself, I hope its an interesting question nonetheless. If you need me to explain in any more detail please ask & I will do so.

Thanks for reading & look forward to reading your own methods (Happy)
Guy M
p.s I wasn't sure what section to post this question in. Sorry for any inconvenience.

Your problem sounds interesting...need some clarifications.

1)After 1st run, you get 78% correct. How do we know how much % correct?

2)Are the hints provided only after 1st attempt? And suggestions?

After each run you get told the percent. The percent does not show to any decimal places.

As for hints, well they are a little misleading, some are not correct. You get the hints before the first run. Mostly though we could just ignore the hints & be random on the first run. Whats more important is the method of moving each slider to obtain the optimum or as close as possible to optimum.

I Found an Optimum on one slider & changed it by 50. The percent change was 9%. I then tested it a little more & moved one slider by 11 & ofcourse got a 2% change, 22 is 4% change & so on.

If you have 90% perfect, leaves you 10%, which I assume would leave a total of 55 movement in the sliders.

Like I said above, there isn't a definitive answer. Just wanted some opinions on a logical method of changing the sliders.

Thanks for the reply,
Guy

EDIT: New method:
Knowing that changing an optimum 50 points is a -9% change. Therefore I am able to change a slider by 50, depending on the percent change will depend on the next step.

If I have a slider at 40 & then change it to 90 & get a -4% change in percent we know that 0% change would be 90-22 (22 point move is a 4% change). So the Low & Upper bounds of 0% change would be 40 & 68, so we can assume that the max amount of % gain is inbetween, 54.

I know this can probably be fine tuned & made mathmatically correct, but maths isn't my strong point so I don't know.