[algogeeks] Re: Given an array containing both positive and negative integers, we r required to find the sub-array with the largest sum

[Hemanth]

Well,

Here's a solution :
Create an array of cumulative sums i.e. cs[i]  = sum of elements from
index 0 to i

Now, find the maximum cumulative sum index say 'y'. We can exclude
elements after index 'y' since they do not contribute positively to the
cumulative sum.

Also, let 'x' be the minimum cumulative sum point. Then we can ignore
numbers from 0 to x (inlcuding x) since they do not contribute to the
cumulative sum.

So, the indices of the sub-array with the maximal sum should be (x+1,
y) 

Thanks,
Hemanth

[algogeeks] Re: Given an array containing both positive and negative integers, we r required to find the sub-array with the largest sum

[ricky]

Think of the negative numbers as consumers from a warehouse and
positive numbers as producers from the warehouse. The problem reduces
to plotting the inventory (starting from time = 0 to time = n) and then
finding the max amplitude over time axis in +ve quadrant of the
inventory profile which can be done in O(n).