Beefy Boxes and Bandwidth Generously Provided by pair Networks
Perl: the Markov chain saw

Re^2: Random Derangement Of An Array

by blokhead (Monsignor)
on Jul 06, 2008 at 11:05 UTC ( #695806=note: print w/replies, xml ) Need Help??

in reply to Re: Random Derangement Of An Array
in thread Random Derangement Of An Array

I'm skeptical about this one. It's nice, but it can only give factorial(n-1) possible outputs, since that is the number of choices made in the algorithm. But there are many more derangements than that -- the number is essentially factorial(n)/e, which is larger if n>2. So I don't think it gets the entire range of derangements.

For instance, I think one that it wouldn't be able to get is: (4,3,2,1). In the last step, you must swap the 4 into its final position, so the 4 would have to be swapped with the 1 in the first position. But the 1 would definitely no longer be in the first position at that time.


Replies are listed 'Best First'.
Re^3: Random Derangement Of An Array
by jethro (Monsignor) on Jul 06, 2008 at 12:46 UTC
    Excellent example. So that algorithm is sadly lacking, and my proof has a hole as well. That happens when you try to proove something in your head instead of really doing the math.

Log In?

What's my password?
Create A New User
Node Status?
node history
Node Type: note [id://695806]
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others pondering the Monastery: (8)
As of 2021-03-07 09:40 GMT
Find Nodes?
    Voting Booth?
    My favorite kind of desktop background is:

    Results (120 votes). Check out past polls.