Javascript Program for Size of The Subarray With Maximum Sum
An array is given, find length of the subarray having maximum sum.
Examples :
Input : a[] = {1, -2, 1, 1, -2, 1}
Output : Length of the subarray is 2
Explanation: Subarray with consecutive elements
and maximum sum will be {1, 1}. So length is 2
Input : ar[] = { -2, -3, 4, -1, -2, 1, 5, -3 }
Output : Length of the subarray is 5
Explanation: Subarray with consecutive elements
and maximum sum will be {4, -1, -2, 1, 5}.
This problem is mainly a variation of Largest Sum Contiguous Subarray Problem.
The idea is to update starting index whenever sum ending here becomes less than 0.
Javascript
<script>
function maxSubArraySum(a, size)
{
let max_so_far = Number.MIN_VALUE,
max_ending_here = 0,start = 0,
end = 0, s = 0;
for (let i = 0; i < size; i++)
{
max_ending_here += a[i];
if (max_so_far < max_ending_here)
{
max_so_far = max_ending_here;
start = s;
end = i;
}
if (max_ending_here < 0)
{
max_ending_here = 0;
s = i + 1;
}
}
return (end - start + 1);
}
let a = [ -2, -3, 4, -1, -2, 1, 5, -3 ];
let n = a.length;
document.write(maxSubArraySum(a, n));
</script>
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Time Complexity: O(N) where N is size of the input array. This is because a for loop is executing from 1 to size of the array.
Space Complexity: O(1) as no extra space has been used.
Please refer complete article on Size of The Subarray With Maximum Sum for more details!
Last Updated :
08 May, 2023
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