@nima
 thanxs for reply
i will check nim number.
could not understand still ..



On Sun, Aug 16, 2009 at 10:52 PM, nima <nima.aghd...@gmail.com> wrote:

> There are two cases:
>
> 1) the XOR of all numbers is 0:
> the first player HAS TO change it to a nonzero value.
> reason: 0^X=0 -> X=0
>
> 2) the XOR of all numbers is not 0:
> the first player always CAN make such a move to achieve the XOR of 0.
> reason: try to find it yourself (hint: prove that always we can choose a
> number which is greater than the XOR of the rest)
>
> if the first player try to keep the opponent in XOR=0 position, he can win
> the game.
>
> read the wiki page for nim game if you had problems with it.
>
> Good Luck,
> Nima
>
>
>
> On Sun, 2009-08-16 at 14:51 +0530, ankur aggarwal wrote:
>
> anybody understand the logic behind xoring ??
>
> plz explain to me.
>
>
>
> ankur aggarwal
>
>
>
>
> >
>

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