What does the term complexity measure in algorithm analysis?

What does the term complexity measure in algorithm analysis?

• A. Complexity measures how resource usage grows with input size
• B. Latency is the speed of network packets
• C. Efficiency measures energy consumption only
• D. Throughput is unrelated to computation

Answer: (B)

The concept being tested is how resource usage grows as the input size increases. In algorithm analysis, we examine time complexity (how running time grows with input size) and space complexity (how memory usage grows). We describe this growth with Big-O notation, focusing on the rate of growth rather than exact counts, and we often ignore constants and less significant terms for large inputs. This lets us compare algorithms on how scalable they are. Lat latency refers to delay in network communication, not how an algorithm’s resource needs scale with input size. Efficiency isn’t limited to energy—it’s a broader idea, but when we talk about complexity we’re specifically describing how resource usage grows with input size. Throughput measures how much work is completed over a period of time, which is a performance metric but not the formal notion of complexity.

The concept being tested is how resource usage grows as the input size increases. In algorithm analysis, we examine time complexity (how running time grows with input size) and space complexity (how memory usage grows). We describe this growth with Big-O notation, focusing on the rate of growth rather than exact counts, and we often ignore constants and less significant terms for large inputs. This lets us compare algorithms on how scalable they are.

Lat latency refers to delay in network communication, not how an algorithm’s resource needs scale with input size. Efficiency isn’t limited to energy—it’s a broader idea, but when we talk about complexity we’re specifically describing how resource usage grows with input size. Throughput measures how much work is completed over a period of time, which is a performance metric but not the formal notion of complexity.