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.

(In reply to re: First guess by Charlie)

The key is in my previous post. The first 21 lines seem to fit in one reply:
1 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 10 10 10 10 10 10 10 10 10

2 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 10 11 10 11 10 11 10 11

3 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 11 10 21 10 11 20 11

4 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 10 21 10 12 20 11

5 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 20 21 10 12 20 21

6 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 20 22 10 12 20 21

7 VVVVVVVVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 20 22 20 12 20 21

8 VVVVVVVrVVVqqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 20 22 20 20 21 00

9 VVVVVVVrVPVVqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 20 22 20 20 00 00

10 VVVVVVVrVPVVqqqqqqqqqqqqqqqqqqqqqqqqqqqq 10 11 20 12 20 22 20 20 00 01

11 VVPVaaaraPVVVVVVVqqqqqqqqqqqqqqqqqqqqqqq 20 21 22 10 11 10 10 10 10 10

12 VVPVPaaraPVVVVVVVqqqqqqqqqqqqqqqqqqqqqqq 20 22 22 11 11 11 10 11 10 11

13 VVPaPParaPVVVVVVVVqqqqqqqqqqqqqqqqqqqqqq 20 22 11 11 21 10 11 20 11 00

14 VVPPPParaPVVVVVVVVqqqqqqqqqqqqqqqqqqqqqq 20 22 11 12 21 10 11 21 11 00

15 VVPPPPPraPVVaVVVVVVqqqqqqqqqqqqqqqqqqqqq 20 22 11 12 10 11 21 11 10 00

16 VVPPPPPrPPVVaVVVVVVqqqqqqqqqqqqqqqqqqqqq 20 22 11 12 10 12 21 11 10 00

17 VVPPPPPrPPVVPVVaVVVVqqqqqqqqqqqqqqqqqqqq 20 22 11 12 10 12 11 10 00 00

18 VVPPPPPrPPVVPVVPVVVVqqqqqqqqqqqqqqqqqqqq 20 22 11 12 10 12 11 11 00 00

19 VVPPPPPrPPVVPVVPVVVVqqqqqqqqqqqqqqqqqqqq 20 22 11 12 10 12 11 11 10 00

20 VVPPPPPrPPVVPVVPVVVVqqqqqqqqqqqqqqqqqqqq 20 22 11 12 10 12 11 11 10 01

21 PaPPPPPrPPVVPVVPVVVVVVqqqqqqqqqqqqqqqqqq 21 22 20 22 21 21 20 11 10 10

Posted by Charlie on 2003-02-18 05:24:46