Linear Search
For a general definition of time complexity, see this page.
Linear Search Time Complexity
See this article for a broad description of time complexity.
See this page for a more comprehensive and in-depth discussion of Insertion Sort time complexity.
Every value is compared to the desired value using linear search. The value is returned together with the index if it is discovered, and -1 if it is not.
Let’s try to figure out how many comparison operations are required to locate a value in an array with Linear Search in order to determine the temporal complexity for this method. n principles.
The best-case scenario is if the value we’re searching for happens to be the array’s first value. In this scenario, the temporal complexity is O, and just one comparison is required.1.)..
The worst-case scenario is when the target value cannot be found despite searching the entire array. When this occurs, the target value is compared with each value in the array, and the time complexity is O(n)..
The Average Case Scenario is difficult to identify. Is it possible to locate the desired value? That is dependent upon the array’s values, correct? However, the average time required for Linear Search is half of the time required in the worst case scenario if we assume that only one value in the array equals the target value and that the value’s position can be anywhere.
The linear search’s temporal complexity is (n)..
If we plot the amount of time required for Linear Search to locate a value within an array of nvalues, this graph is produced:
Linear Search Simulation
See how many comparisons are required for Linear Search to locate a value in an array of n values by running the simulation with varying array sizes:
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As you can see, when performing Linear Search simulations, the search needs fewer comparisons if the value is found quickly; but, if the value is not found, the greatest number of comparisons are performed.