Given an integer array nums, find the subarray with the largest sum, and return its sum.
Question
Given an integer array nums, find the subarray with the largest sum, and return its sum.
Solution
This problem can be solved using Kadane's algorithm. Here are the steps:
-
Initialize two variables,
max_currentandmax_global. Set both of them to the first element of the array. -
Loop through the array starting from the second element. For each element, calculate
max_currentas the maximum of the current element and the sum ofmax_currentand the current element. -
If
max_currentis greater thanmax_global, updatemax_globalwith the value ofmax_current. -
Continue this process until you've gone through the entire array. The value of
max_globalwill be the maximum subarray sum.
Here is a Python code snippet that implements this algorithm:
def maxSubArray(nums):
max_current = max_global = nums[0]
for i in range(1, len(nums)):
max_current = max(nums[i], max_current + nums[i])
if max_current > max_global:
max_global = max_current
return max_global
This function takes an array of integers as input and returns the sum of the subarray with the largest sum.
Similar Questions
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Find the maximum element from the given array of integers.
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