11/3/2023 0 Comments Private profile redirectorCounting the steps for different inputs may only give a hint about the complexity though. Counting that as a single "step" would give useless results in an analysis.īreaking down an algorithm into its O(1) steps does help to analyse the complexity of an algorithm. For instance, some languages have a sort instruction. This is typically true for CPU instructions, which take up to a fixed maximum number of cycles (where each cycle represents a unit of time), but it may not be true in higher level languages. But the definition that CLRS uses for "running time" is particular, and not the same as you might encounter in other resources.ĬLRS assumes here that a primitive operation (i.e. So while we would normally consider these two terms to have the same meaning, in CLRS they have deviated from that, and gave a different meaning to "running time".ĭoes running time describe the number of steps executed or not? Most would agree that "runnning" and "executing" are the same concept, and that "time" is expressed in a unit of time (like milliseconds). This is not what you would intuitively use as a definition. The definition of "running time" in 'Introduction to Algorithms' by C,L,R,S is actually not a time, but a number of steps. What is the real meaning or definition of running time and execution time? Are they the same of different?
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