we can create a height balanced tree with all nodes having their value and
also their index value.. can be done in o(n)
then we need to look to d right side of the node and check for index(greater
).. which will be o(log(n))
correct me if i m wrong..

On Tue, Feb 1, 2011 at 7:50 PM, Aman Goyal <[email protected]> wrote:

> this code will work only for this test case, it is wrong for all
> cases...eg    3 4 9 8 6 7 10
> there will be -1 output for 8 and 9 which is actually wrong..
>
>
> On Tue, Feb 1, 2011 at 6:01 PM, Veenus Gupta <[email protected]>wrote:
>
>> #define N 7
>> int main()
>>
>> {
>>        int a[N]={1,3,5,7,6,4,8};
>>        int m[N];
>>        m[N-1]=-1;
>>        for(int i=N-2;i>=0;i--)
>>        {
>>                        if(a[i]<=a[i+1])
>>                         m[i]=a[i+1];
>>                    else
>>                     m[i]=m[i+1];
>>    }
>>    for(int i=0;i<N;i++)
>>      cout<<m[i]<<"\t";
>>    system("pause");
>> }
>>
>> On Feb 1, 1:06 pm, abc abc <[email protected]> wrote:
>> > Guys please check correctness of your algorithm before posting
>> >
>> >
>> >
>> >
>> >
>> >
>> >
>> > On Mon, Jan 31, 2011 at 11:47 PM, ritu <[email protected]> wrote:
>> > > @Ralph
>> > > "Build a data structure on array B[1..n]  in O(n) time such that
>> > > > the following problem can be solved in O(log n) time:
>> > > >     Given an index i and value  v,  find the index j of the first
>> > > >     element in  B  such that  j >= i and B[j] > v.
>> > > >     Return  -1 if no such j exists.
>> > > > "
>> >
>> > > then it ll take n*lg(n) time ... while a o(n) solution exists
>> >
>> > > On Jan 31, 9:25 pm, Ralph Boland <[email protected]> wrote:
>> > > > On Jan 30, 11:00 pm, ritu <[email protected]> wrote:
>> >
>> > > > > You are given an array (unsorted) and for every element i, find
>> the
>> > > > > first occurance of an element j (in the remaining array) that is
>> > > > > greater than or equal to i. If no such j occurs then print -1.
>> > > > > Eg: Input---> A={1,3,5,7,6,4,8}
>> > > > > Output---> 3 5 7 8 8 8 -1
>> > > > > Time Complexity:O(n)
>> > > > > Space Complexity:O(n)
>> >
>> > > > I solved a version of this problem in my thesis.
>> >
>> > > > Build a data structure on array B[1..n]  in O(n) time such that
>> > > > the following problem can be solved in O(log n) time:
>> > > >     Given an index i and value  v,  find the index j of the first
>> > > >     element in  B  such that  j >= i and B[j] > v.
>> > > >     Return  -1 if no such j exists.
>> >
>> > > > I have an application of this data structure in my thesis (which
>> > > > is why I invented it) but I would love to hear other applications.
>> >
>> > > > Ralph Boland
>> >
>> > > --
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