Algorithm Analysis(1) - Steps for Performing Algorithm Analysis

 Performing algorithm analysis involves evaluating the efficiency of an algorithm, primarily in terms of time complexity and space complexity. Time complexity refers to the amount of time an algorithm takes to complete as a function of the length of the input, while space complexity refers to the amount of memory space required by the algorithm.

  Steps for Performing Algorithm Analysis

 1. Identify the Basic Operation: 

Determine the fundamental operation of the algorithm. This is usually the most frequent operation, like a comparison in a sorting algorithm.

2. Establish Input Size: 

Define what constitutes the input size. For instance, in sorting, it's the number of elements to be sorted.

 3. Count the Operations: 

Analyze how the number of basic operations scales with the input size. This can be in the best, worst, and average cases.

 4. Determine the Time Complexity: 

Express how the total number of operations grows with the input size. This is often done using Big O notation.

 5. Consider Best, Worst, and Average Cases: 

Different algorithms have different behaviors under these cases, which should be separately analyzed.

 6. Analyze Space Complexity: 

Determine how much memory the algorithm needs in relation to the input size.

  

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