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Time complexity gives an indication of the time an algorithm will complete its task. However, it is merely an indication; two algorithms with the same time complexity won't necessarily take the same amount of time to complete. For instance, comparing two primitive values is a constant-time operation. Swapping those values is also a constant-time operation, however a swap requires more individual operations than a comparison does, so a swap will take longer even though the time complexity is exactly the same.

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7y ago
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11y ago

The time complexity of an algorithm is the length of time to complete the algorithm given certain inputs. Usually, the algorithm with the best average time will be selected for a task, unless it can be proven that a certain class of conditions has to exist for an average time, in which case an algorithm that is faster in certain cases will be chosen based on that characteristic.

For example, given the option of a merge sort or a bubble sort, a programmer might be tempted to say that the merge sort would be faster, on average, than a bubble sort. It so happens that they are correct; the merge sort is probably the better of the two options.


However, if the data is usually "almost" sorted and rarely has out of place elements, then the bubble sort, despite being an inferior algorithm, would be faster than a merge sort for large data sets, which has a fixed time complexity that is better than bubble sort's average time complexity, but worse than bubble sort's best time complexity.


Thus, an informed programmer would look at all the possible algorithms available to solve a task, and select the one that yields the best results for the majority of test cases. This is similar to how a business manager might compare the overall cost of acquisition with the cost of ownership over time to determine the best solution.

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16y ago

Check out his link for the same question...... http://www.daniweb.com/forums/thread13488.html this one has preety good answer to this...

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12y ago

what do you mean by time and space complexity and how to represent these complexity

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15y ago

Check this Site by Topcoder

http://www.topcoder.com/tc?module=Static&d1=tutorials&d2=complexity1

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12y ago

just identify the number of operation to your algorithm with respect to number of inputs. keep in mind that number of inputs should be tends to infinity.

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Q: How do you find the time complexity of a given algorithm?
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