What are some practice problems for Big O notation?

What are some practice problems for Big O notation?

Here are a few practice problems for you:

1. Analyze the time complexity of a binary search algorithm.
2. Determine the Big O notation for a nested loop that iterates n times and m times.
3. What is the time complexity of merging two sorted arrays?

Can you explain the first problem in detail?

Sure! In a binary search, you repeatedly divide the search interval in half. The time complexity is O(log n) because with each step, the size of the input is halved.

What about the second problem? How do I approach that?

For the nested loop, if the outer loop runs n times and the inner loop runs m times, the total time complexity is O(n * m). You multiply the complexities of both loops.

Can you give me an example of the merging problem?

Absolutely! When merging two sorted arrays, you compare the smallest elements of each array and build a new sorted array. The time complexity is O(n + m), where n and m are the lengths of the two arrays.