Hey kiddo, do you know what a segmented scan is? Well, it's like playing a game of hide-and-seek with numbers!
Let's say you have a list of numbers, but instead of just adding them all together, you want to break them up into smaller groups and add them up separately first. That's what we call a segmented scan!
It's like having a bunch of little pockets in your backpack where you can put your different toys. You group your toys by type, like all your cars go in one pocket, your dolls in another pocket, and your puzzles in one more pocket. Then, you count how many toys are in each pocket and tell your mom or dad the total count for each toy type.
Similarly, in segmented scan, we break up our list of numbers into segments or pockets. We add up the numbers in each segment separately, and store the results in a new list. Then, we use these partial results to compute the final output.
For instance, let's imagine we have this list of numbers: [3, 5, 7, 2, 4, 6, 1, 8]. We want to do a segmented scan by grouping the numbers in sets of 3. That means we need to have [3, 5, 7] as the first segment, [2, 4, 6] as the second one, and [1, 8] as the third one.
We add up the numbers in the first segment, and get the partial result 15. We do the same for the second and third segments, and get the partial results 12 and 9, respectively.
Now, we combine these partial results to get the final output: [15, 27, 36, 44]. This means that the first number in the output list is the sum of the first segment, the second number is the sum of the first and second segments, the third number is the sum of all three segments, and so on.
That's how segmented scan works! It's a useful tool for processing large data sets efficiently.