This document discusses algorithm complexity. It defines algorithm complexity as a way to compare algorithms by how much time and space they require based on the size of the input, ignoring implementation details. There are two types of complexity: time complexity T(n) and space complexity S(n). Time complexity looks at the worst case, best case, and average case time requirements. Space complexity measures the memory used based on the input size. Understanding complexity is important for determining an algorithm's efficiency and how its requirements increase with larger inputs.