my question was
from where did 2 come in RHS in eqn.
2*f(n/2) - 1...

coefficient of f(n/2)


On Mar 6, 7:54 am, Gustavo Pacianotto Gouveia
<[email protected]> wrote:
> In this case, k = J(n)
>
> The recurrence is :
>
> int f(int n){
>    if(n == 1) return 1;
>    if(n&1) return 2*f(n/2) +1; // case its odd
>    return 2*f(n/2) -1; // case it's even
>
> }
>
> --
> but the statement J(2n) = 2J(n) is incorrect, since, J(2n) = 2J(n)-1
>
> sorry if it wasn't the question.. what was your real doubt?
> ---
> grato,
>
> Gustavo Pacianotto Gouveia
>
> Escola Politécnica da Universidade de São Paulo
> <[email protected]>   [email protected]
>    [email protected]
>    [email protected]
>
> 2011/3/5 Satyajit Bhadange <[email protected]>
>
>
>
>
>
>
>
> > hi,
>
> > I am studying Josephus problem
> > the recurrence relation for same is
>
> > J(1)      =   1;
> > J(2n)     =   2J(n) - 1, for n >= 1
> > j(2n + 1) =   2J(n) + 1, for n >= 1
>
> > how J(2n) = 2J(n)
>
> > on R.H.S side how 2 which is called k is derived..
>
> > its is given in book that (concrete mathematics)
>
> > J(2n) = newnumber(J(n)),
> > where
> > newnumber( k) =
> > 2k-1.
>
> > what is k..?
>
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