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The flooble question (Posted on 2003-02-18) Difficulty: 4 of 5
At flooble there are 40 problems in the queue. (this may not be true but lets just pretend it is.) A few crazy hackers somehow manage to promote themselves to scholars. On the first day the first hacker will vote thumbs up on all problems displayed.(The 10 most recent) On the second day the second hacker votes thumbs down on every second problem. On the third day the third hacker votes thumbs up on every third problem. And so on and so on. (When it gets to the eleventh day the eleventh hacker will do what the first hacker did)

How many days will it take for every problem in the queue to be live on the site?

Note: For those who don't know there are only 10 problems that can be voted thumbs up or thumbs down every day and these problems are the 10 least recent. Also a problem with three thumbs up will be posted to the site and taken out of queue. Only one problem can be posted to the site per day. Also if a problem gets 3 thumbs down it is deleted.

Btw: for those who like an extra challenge what if one problem is submitted every 3 days?

Also: A hacker will always vote before a problem becomes live.

See The Solution Submitted by Alan    
Rating: 4.0000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): First guess | Comment 4 of 51 |
(In reply to re(2): First guess by Charlie)

continuation:
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23 PPPPPPPrPPVrPVrPPVVVVVVVVqqqqqqqqqqqqqqq 21 20 22 20 22 10 11 10 01 00

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30 PPPPPPPrPPVrPVrPPVVPVVVVVVqqqqqqqqqqqqqq 21 20 22 21 10 12 21 02 20 01

31 PPPPPPPrPPPrParPPaaPVVaVaVVVVVVVqqqqqqqq 20 22 12 11 10 10 10 10 10 10

32 PPPPPPPrPPPrPPrPPaaPVraVaVVVVVVVVqqqqqqq 20 12 12 10 11 10 11 10 11 00

33 PPPPPPPrPPPrPPrPPPaPVraVaVVVVVVVVqqqqqqq 20 12 22 10 11 20 11 10 21 00

34 PPPPPPPrPPPrPPrPPPPPVraVaVVVVVVVVqqqqqqq 20 12 22 11 11 20 11 11 21 00

35 PPPPPPPrPPPrPPrPPPPPVrPVaVVVVVVVVqqqqqqq 20 12 22 11 21 20 11 11 21 10

36 PPPPPPPrPPPrPPrPPPPPVrPVPVVVVVVVVqqqqqqq 20 12 22 11 21 21 11 11 21 10

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41 PPPPPPPrPPPrPPrPPPPPPrPVPaVaaaVPVVVVVVVq 22 21 22 20 11 10 10 10 10 10

42 PPPPPPPrPPPrPPrPPPPPPrPVPPVaaaVPVVVVVVVq 22 22 22 21 11 11 10 11 10 11

  Posted by Charlie on 2003-02-18 05:26:31

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