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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