Dynamic Programming
Kadane's Algorithm Interview Questions
The biggest lesson from Kadane's algorithm is that a negative prefix sum is not worth keeping. This is the key to finding the maximum subarray sum in linear time.
Kadane's Algorithm in Python
Here is a Python implementation of Kadane's algorithm to find the maximum sum of a contiguous subarray.
defmax_subarray_sum(nums):# Kadane's Algorithmmax_so_far = nums[0]max_ending_here = nums[0]for i inrange(1, len(nums)):max_ending_here = max(nums[i], max_ending_here + nums[i])max_so_far = max(max_so_far, max_ending_here)returnmax_so_farAI Coach Hint: The key to understanding Kadane's algorithm is to realize that if the sum of a subarray is negative, it's better to start a new subarray. This is because a negative sum will only decrease the value of the overall sum.
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