CS Level Up Series (30 Part Series)

## Resources

Takeaways:

- Dynamic Arrays resize when they reach capacity, usually by doubling.
- Dynamic Arrays, for insertions, have a worse case Big O of
`O(n)`

(linear). But due to doubling, the amortized* time complexity of Dynamic Arrays is`O(1)`

(constant). - A Dynamic Array's space complexity is at worst
`O(2n)`

(immediately after doubling), with`O(n)`

being wasted space (the empty half of the array). Note:`O(2n)`

in Big O is*reduced*to`O(n)`

- therefore the space complexity of a Dynamic Array is`O(n)`

.

*Another way of saying *average*. Per Wikipedia:

amortized analysis considers both the costly and less costly operations together over the whole series of operations of the algorithm

Often, a data structure has one particularly costly operation, but it doesn't get performed very often. That data structure shouldn't be labeled a costly structure just because that one operation, that is seldom performed, is costly.

So, amortized analysis is used to average out the costly operations in the worst case.

Here's the finished implementation with test code:

If you found any errors in this post, please let me know!

CS Level Up Series (30 Part Series)

## Discussion

Good tutorial JB. Looking forward to follow your posts. One point I would like to add though.

The operation Prepend can be done by calling AddAt(element, 0) method inside the Prepend method :)

Good catch, you are probably right!