Can you explain what is meant by the difficulty assessment of an algorithm and how to determine it?

Algorithm difficulty assessment is a way to determine how effectively an algorithm solves a problem in terms of resource usage, usually time and memory.

Most commonly, asymptotic analysis (Big O notation) is used, which shows how the execution time or memory consumption grows depending on the size of the input data.

For example:

• O(1) — constant time, independent of data size.
• O(n) — linear time, grows proportionally to the input size.
• O(n²) — quadratic time, such as nested loops.

To determine complexity, the structure of the algorithm is analyzed: the number of loops, recursions, function calls, and data operations.

Example: a simple loop over an array of n elements — O(n). If there is a nested loop over the same array inside, — O(n²).