It's the property of XOR :)

What's 5 XOR 5?

If the boy is happy then pile A = pile B, therefore pile A XOR pile B = 0.

Sent from my iPhone

On 2011-05-10, at 7:26 AM, Marcelo Ramires <[email protected]> wrote:

> Right, I didn't ask how does one figure out that it's about XOR, because this 
> I've figured out too when I was solving, what I didn't know and surprised me 
> that everybody else knew is:
> 
> If the xor of all numbers is zero, you can pick any candy, and the xor to 
> this number is going to be equal to the xor from the rest of them.
> 
> I did't know this property of XOR, must be because I've never worked with XOR 
> in integers, but I'd say that if I had only used it a little I wouldn't catch 
> it quickly...
> 
> On Mon, May 9, 2011 at 6:01 PM, Reniery O'Hara <[email protected]> wrote:
> Hi, 
> One could come to this solution by understanding the Sean adding skills, 
>   1100
> + 0101
> ------
>   1001
> compare this with the XOR truth table and you will have a match.
> As others posted before practice will help us to see these patterns while 
> reading the problems.
> 
> (Personally I didn't use an explicit integer XOR, I used mod 2)
> 
> 
> 
> On Mon, May 9, 2011 at 4:59 PM, rahul raghavendra <[email protected]> 
> wrote:
> u can do a lot of stuff with the bitwise operators , u just gotta experiment 
> with it
> 
> 
> On Tue, May 10, 2011 at 2:21 AM, Morgan Bauer <[email protected]> wrote:
> XOR is the bread and butter of Symmetric Cryptography.
> ~mhb
> 
> On Mon, May 9, 2011 at 4:44 PM, Marcelo Ramires
> <[email protected]> wrote:
> > I understood how to solve this, but how does one come to this solution ?
> >
> > If the xor of all numbers is zero, you can pick any candy, and the xor to
> > this number is going to be equal to the xor from the rest of them.
> >
> > I get this, if I have 9 numbers with XOR 3, XORing it with 3 will get me
> > zero.
> >
> > How has everybody thought of this at the same time ? have I skipped a logics
> > class ? is this concept so disseminated among coders ?
> >
> > I had never XORed nubmers before this code jam, only booleans, and I didn't
> > know you could.
> >
> > As a side questions, can anybody tell me any alternative uses for XORing
> > integers other than 1 and 0 ?
> >
> > Thanks!
> >
> > Marcelo Ramires
> >
> > On Sun, May 8, 2011 at 1:50 AM, vivek dhiman <[email protected]> wrote:
> >>
> >> Lucky!
> >>
> >> You are right.
> >>
> >> if xor of two lists is same. (say xor1 = xo2)
> >>
> >> So the exor of these two wil be 0  (xor (xor1,xor2) = 0)
> >> Or in other words lists can be divided if the xor of all the elements is
> >> zero.
> >>
> >> :)
> >>
> >>
> >>
> >> On Sun, May 8, 2011 at 8:17 AM, keshav agarwal <[email protected]>
> >> wrote:
> >>>
> >>> please tell me of my logic was correct or i just got lucky to get it
> >>> correct
> >>>
> >>> if xor to a list of nos. is zero only then the division is possible
> >>> in this case patrick can be given the one candy with lowest value while
> >>> sean keeps the rest
> >>>
> >>> if      xor(n nos.)=0
> >>> then       (nth no.) xor (xor of n-1 nos.)=0
> >>>
> >>> so patrick gets the nth candy and sean keeps the rest
> >>>
> >>> --
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> >>
> >>
> >> --
> >> Regards
> >> Vivek Dhiman
> >>
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> -- 
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> 
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