Data Structures and Algorithms The Complete Masterclass - Selection Sort Complexity

The video tutorial explains the complexity of selection sort, focusing on its use of nested loops, which results in a time complexity of O(N^2). The instructor provides a mathematical breakdown of the iteration cycles and discusses the best, average, and worst-case scenarios, all of which result in O(N^2) complexity. The video concludes with a summary of the key points and encourages viewers to visualize the process for better understanding.

What is the time complexity of selection sort when using two nested loops?

• O(N)

• O(log N)

• O(N log N)

• O(N^2)

In the mathematical explanation of selection sort, what is the pattern of comparisons in each iteration?

• N, N^2, N^3, ...

• N, N/2, N/4, ...

• N, N+1, N+2, ...

• N, N-1, N-2, ...

What is the simplified formula for the time complexity of selection sort derived from the mathematical series?

• N^2 + N

• N^2 - N

• N^2 / 2 - N / 2

• N^2 / 2 + N / 2

Which case of selection sort results in the worst-case time complexity?

• All elements are the same

• All elements in descending order

• All elements in ascending order

• Random order of elements

Why is the best-case time complexity of selection sort still O(N^2)?

• Because it compares each element with every other element

• Because it uses a single loop

• Because it only sorts already sorted lists

• Because it sorts multiple elements at once