@Piyush: Treat the data as an implicit binary tree, with the children
of a[i] being a[2*i] and a[2i+1] if a[] is a 1-based array, or a[2*i
+1] and a[2*i+2] if a[] is a 0-based array. Traverse the tree and
accumulate the sum as you descend. When you reach the leaves, keep
track of the maximum sum and its path. When the traversal is finished,
you will have your answer.

Dave

On Nov 4, 4:47 am, Piyush <piyushra...@gmail.com> wrote:
> Given an array of integers. Imagine it as a pyramid as below:
> a[]={1,2,3,4,5,6,7,8,9,10}
>                    1
>                  2  3
>                 4 5 6
>               7 8 9 10
> find a path from level 1 to last level such that the sum is maximum.
> The path is such that its children should be reachable.
> Eg:
> 1,2,5,9 is a path
> 1,2,6,10 is not a path since 6 is not reachable from 2.
> The array is not sorted and numbers are random.

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