Nikhil's algo is correct if the following is always true:

Given: x + y = S, x * y = M
and x' + y' = S', x'  * y' = M'

If: S' = S and M' = M, then x = x' and y = y'
i.e for given sum and product, the elements are unique.


On Thu, Aug 19, 2010 at 12:54 PM, Nikhil Agarwal
<[email protected]>wrote:

> @Dave : my algo won't fail for {0,1,-1} and {0,2,-2} .
>
> S1=0;S2=0;
> M1=-1 and M2 =-4 (excluding 0 multiplication which i had corrected)
> M1!=M2 there fore it is correct.
>
> Code:
>
> bool check_arrays(vector<int> v1,vector<int> v2){
> if(v1.size()!=v2.size())
> return 0;
>  if(v1.size()==0&&v2.size()==0)
> return 1;
> int sum,product1,product2;
>  sum=0;product1=1;product2=1;
> for(int i=0;i<v1.size();i++){
> sum+=v1[i];
>  sum-=v2[i];
> if(v1[i]!=0)
> product1*=v1[i];
>  if(v2[i]!=0)
> product2*=v2[i];
> }
>  if(sum==0&&(product1==product2))
> return 1;
> return 0;
> }
> On Thu, Aug 19, 2010 at 11:26 AM, Dave <[email protected]> wrote:
>
>> @Srinivas, Make that: Your algorithm seems to fail on A = {0,1,-2), B
>> =
>> (0,2,-3). I was thinking ones-complement arithmetic instead of twos-
>> complement.
>>
>> Dave
>>
>>
>> On Aug 18, 11:59 pm, Dave <[email protected]> wrote:
>> > @Srinivas, Your algorithm seems to fail on A = {0,1,-1), B =
>> > (0,2,-2).
>> >
>> > Dave
>> >
>> > On Aug 18, 10:53 pm, srinivas reddy <[email protected]> wrote:
>> >
>> >
>> >
>> > > add one more thing to the solution suggested by nikhil i.e;count the
>> number
>> > > of elements in array 1 and number of elements in array2 if these two
>> values
>> > > are equal then after follow the algo proposed by nikhil agarwal..
>> >
>> > > On Wed, Aug 18, 2010 at 8:50 PM, Rais Khan <[email protected]>
>> wrote:
>> > > > @Chonku: Your algo seems to fail with following input.
>> > > > Arr1[]= {1,6}
>> > > > Arr2[]={7}
>> >
>> > > > On Wed, Aug 18, 2010 at 8:42 PM, Rais Khan <[email protected]
>> >wrote:
>> >
>> > > >> @Nikhil: Your algo seems to fail with following input. What do you
>> say?
>> > > >> Arr1[]= {1,2,3}
>> > > >> Arr2[]={6}
>> >
>> > > >> On Wed, Aug 18, 2010 at 7:17 AM, Nikhil Agarwal <
>> > > >> [email protected]> wrote:
>> >
>> > > >>> Sum all the elements of both the arrays..let it be s1 and s2
>> > > >>> Multiply the elements and call as m1 and m2
>> > > >>> if(s1==s2) &&(m1==m2)
>> > > >>> return 1;else
>> > > >>> return 0;
>> >
>> > > >>> O(n)
>> >
>> > > >>> On Tue, Aug 17, 2010 at 11:33 PM, amit <[email protected]>
>> wrote:
>> >
>> > > >>>> Given two arrays of numbers, find if each of the two arrays have
>> the
>> > > >>>> same set of integers ? Suggest an algo which can run faster than
>> NlogN
>> > > >>>> without extra space?
>> >
>> > > >>>> --
>> > > >>>> You received this message because you are subscribed to the
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>> > > >>> --
>> > > >>> Thanks & Regards
>> > > >>> Nikhil Agarwal
>> > > >>> Senior Undergraduate
>> > > >>> Computer Science & Engineering,
>> > > >>> National Institute Of Technology, Durgapur,India
>> > > >>>http://tech-nikk.blogspot.com
>> > > >>>http://beta.freshersworld.com/communities/nitd
>> >
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>
>
> --
> Thanks & Regards
> Nikhil Agarwal
> Senior Undergraduate
> Computer Science & Engineering,
> National Institute Of Technology, Durgapur,India
> http://tech-nikk.blogspot.com
> http://beta.freshersworld.com/communities/nitd
>
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