I frequently encounter situations where I need to load data from a Pandas DataFrame into NumPy arrays, perform computations, and then update the DataFrame. Typically, I have two approaches: Loading ...

an `O(n^3)` running time algorithm. A better solution is to iterate over the array, keeping track of the sum of elements so far. At each element `a[i]`, check to see if `sum_so_far - s` is already in ...