Examples of using Running time in English and their translations into Serbian
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Running time 2 hours, 1 minute.
Therefore, the total running time for this algorithm is.
Running time without intermission: 75- 80 minutes.
This gives insertion sort a quadratic running time(i.e., O(n2)).
The amortized running time of this operation is O(log n).
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This additional time is then later combined andsubtracted from the actual running time of slow operations.
The running time of the mixer and the performance are directly dependent on its power.
In actuality, for most cases the running time is far larger than the output; see below.
In the example above,the Las Vegas algorithm always outputs the correct answer, but its running time is a random variable.
However, the running time of an algorithm is usually expressed in big O notation, ignoring constant factors.
In other words, for a given input size n greater than some n0 and a constant c, the running time of that algorithm will never be larger than c× f(n).
Using min heap priority queue in Prim's algorithm to find the minimum spanning tree of a connected and undirected graph,one can achieve a good running time.
The algorithm as a whole still has a running time of O(n2) on average because of the series of swaps required for each insertion.
The actual time to perform the cutting was O(k), therefore(again with a sufficiently large choice of c)the amortized running time is constant.
But the algorithm as a whole will still have a running time of Θ(n^2) on average because of the series of swaps required for each insertion.
Therefore, the difference in the potential function from before this phase to after it is: O(log n)- m,and the amortized running time is then at most O(log n+ m)+ c(O(log n)- m).
For the amortized running time analysis we use the potential method, in that we pretend that very fast operations take a little bit longer than they actually do.
To see how this formula was derived,assume that the running time of the old computation was 1, for some unit of time. .
The running time for this approach lies within a polynomial factor of O( n!){\displaystyle O(n!)}, the factorial of the number of cities, so this solution becomes impractical even for only 20 cities.
Musser reported that on a median-of-3 killer sequence of 100,000 elements running time was 1/200th that of median-of-3 quicksort.
Although the total running time of a sequence of operations starting with an empty structure is bounded by the bounds given above, some(very few) operations in the sequence can take very long to complete(in particular delete and delete minimum have linear running time in the worst case).
Musser reported that on amedian-of-3 killer sequence of 100,000 elements, introsort's running time was 1/200 that of median-of-3 quicksort.
There exist NP-complete problems for which the best known running times have the form O(2nc) for c< 1, andif the best possible running time for 3-SAT were of this form, then P would be unequal to NP(because 3-SAT is NP-complete and this time bound is not polynomial) but the exponential time hypothesis would be false.
The randomization ensures that the expected number of changes to the structure caused by an insertion is small, andso the expected running time of the algorithm can be upper bounded.
In order to prevent the soot from entering the compressed air, the low-pressure running time of the air compressor can not exceed 30 minutes, and the operation and maintenance of the exhaust fan can be done well.
German TV broadcaster ARD premiered a live-action two-partadaptation starring Justus Kammerer as Nils and directed by Dirk Regel on Christmas 2011.[47] Its total running time is 230 minutes.
Efficiency is strongly affected by the choice of the branching literal:there exist instances for which the running time is constant or exponential depending on the choice of the branching literals.
A simple amortization argument shows that the running time of this algorithm is bounded by O( n){\displaystyle O(n)}: The nodes that are traversed in step i{\displaystyle i} by walking up the rightmost path of S T i{\displaystyle ST_{i}}(apart from the last node v{\displaystyle v}) are removed from the rightmost path, when A{\displaystyle A} is added to the tree as a new leaf.
For example, the Linux kernel uses a sorting algorithm called heapsort,which has the same running time as mergesort which we explored here, namely Θ( n log( n)) and so is optimal.
To create a more robust definition of average-case efficiency, it makes sense to allow an algorithm A to run longer than polynomial time on some inputs butthe fraction of inputs on which A requires larger and larger running time becomes smaller and smaller.