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Go Back   Webkinz Insider Forum > Inside Webkinz World > Gamez in Webkinz World > Operation Gumball
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Old 11-28-2007, 03:30 AM   #1
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Default Advanced gumball tip - optimal last digit resolution

Here's one additional refinement on Hamlet's advanced work. I had developed an essentially equivalent strategy independently. However, I find that I occasionally have narrowed it down to a single unknown digit, but that digit could be one of several remaining possibilities. If you arrive at this point and have MORE THAN TWO possible solutions, you can test for multiple numbers at once (up to three), instead one at a time. This technique guarantees you can find the missing digit with fewer steps than the number of possible digits.

Lets say you know the string is 1 5 2 ? 7, but the unknown could 8, 9, or 0. Forget about the ones you know, and enter '8 8 8 9 8'. No matter what the answer really is, you will find out with the game's first response. If it is a red ball, the unknown is 8. If it is a green ball, the answer must be 9. And if no ball is given, then it must be a 0. The three-number test is the best case (if you have four possibilities and get no ball, you can't know yet).

You can see that 1/3 of the time this will cost you one extra turn (if the answer was 8 in this example, your first guess would have been fine). But it will never cost you three turns, which is what one-by-one could take. That turn may be the one you don't have! There will still be cases where you're forced to guess, but this method will make a guess on your last chance necessary just a little less often. It also works with suspected duplicates, but that's even deeper water....

Apologies to Hamlet if you've already mentioned this - I didn't see it in your tutorial(s).

Last edited by williamson_39; 11-28-2007 at 10:16 PM..
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Old 12-03-2007, 02:59 AM   #2
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Default Re: Advanced gumball tip - optimal last digit resolution

Thanks for posting this. It is a concept that will save moves. I do the same thing, except I type 15298. Outcome is the same though.
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Old 12-03-2007, 03:36 PM   #3
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Default Re: Advanced gumball tip - optimal last digit resolution

I tired these just after you posted them. I tried them, and they worked. I forgot to post the following words: Thankz for the awesome tipz!
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Old 12-04-2007, 10:07 PM   #4
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Default Re: Advanced gumball tip - optimal last digit resolution

Excellent tip. Thanks!!!
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Old 12-04-2007, 10:24 PM   #5
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Default Re: Advanced gumball tip - optimal last digit resolution

I do this as well... Good tip!
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Old 12-04-2007, 10:44 PM   #6
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Default Re: Advanced gumball tip - optimal last digit resolution

Excellent tip! I will try it.
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Old 12-10-2007, 05:55 PM   #7
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Default Re: Advanced gumball tip - optimal last digit resolution

it dosent work!!!!!!!!!!!!!!!!!!!!!!!!!111
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Old 12-10-2007, 09:36 PM   #8
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Default Re: Advanced gumball tip - optimal last digit resolution

Sorry you were having trouble! There's no trick to it. It's just a way to be sure that you don't have to use as many turns as you have numbers to check. It has to work if you have narrowed the unknowns to one digit and you've substituted whatever numbers remain to be tested in your case. Unfortunately it's not easy for me to help in sentence form...
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