Table of Contents
Does IF statement affect time complexity?
Assuming an if-statement takes a constant amount of time, it will only add a constant factor to the complexity.
Which sorting algorithm is better in terms of time complexity?
Time Complexities of all Sorting Algorithms
| Algorithm | Time Complexity | |
|---|---|---|
| Best | Average | |
| Selection Sort | Ω(n^2) | θ(n^2) |
| Bubble Sort | Ω(n) | θ(n^2) |
| Insertion Sort | Ω(n) | θ(n^2) |
How can we improve the time complexity of a for loop?
A first straight forward approach would be like this:
- Create an array holding 60 entries with the remainder of seconds\%60 initialized to all zeroes.
- Calculate the remainder of each song and increment the related entry in the array.
- Iterate over all possible remainders (1..29)
What is time complexity of a program?
Time complexity of a program is a simple measurement of how fast the time taken by a program grows, if the input increases. Why should we care about time complexity? There can be more than one way to solve a problem. To check whether a number is Prime or not? The seco n d method is faster. That’s why time complexity is important.
Why do we use worst-case time complexity of an algorithm?
And since the algorithm’s performance may vary with different types of input data, hence for an algorithm we usually use the worst-case Time complexity of an algorithm because that is the maximum time taken for any input size. Now lets tap onto the next big topic related to Time complexity, which is How to Calculate Time Complexity.
What is space complexity in Computer Science?
Similar to Time complexity, Space complexity also plays a crucial role in determining the efficiency of an algorithm/program. If an algorithm takes up some extra time, you can still wait for its execution. But, if a program takes up a lot of memory space, then due to the machine’s memory limitation it will not run.
Are there any EXPTIME-hard problems that cannot be solved?
Consequently, all EXPTIME-hard problems lie outside P”. As for “problems known for which a proof does exists that it cannot be solved in for example constant or linear time”, I give two examples (there are many others!), along with the corresponding computational models: