Cycle Sort Algorithm is an in-place and unstable sorting algorithm. It's main
purpose is not just to sort the data, but to minimize the number of writes
when used in applications with flash memory, where write operatioms are costly,
because they reduce lifespan of the memory.
It is based on the idea that the permutation to be sorted can be factored
into cycles, which can individually be rotated to give a sorted result.
Time Complexity
Best Case: O(N^2)
Average Case: O(N^2)
Worst Case: O(N^2)
Cycle Sort always takes a fixed number of comparisons based on the number of
elements (n) in the dataset. The quadratic time complexity arises due to the
nested nature of its loops.
Space Complexity: O(1)
Cycle Sort is an in-place sorting algorithm, meaning it doesn't require any
additional space (apart from a constant amount of extra space for variables)
to sort the input array. The primary operations in the algorithm involve
moving elements within the array itself without the need for additional
auxiliary storage.
Cycle Sort Algorithm is an in-place and unstable sorting algorithm. It's main purpose is not just to sort the data, but to minimize the number of writes when used in applications with flash memory, where write operatioms are costly, because they reduce lifespan of the memory. It is based on the idea that the permutation to be sorted can be factored into cycles, which can individually be rotated to give a sorted result.
Time Complexity
Cycle Sort always takes a fixed number of comparisons based on the number of elements (n) in the dataset. The quadratic time complexity arises due to the nested nature of its loops.
Space Complexity: O(1) Cycle Sort is an in-place sorting algorithm, meaning it doesn't require any additional space (apart from a constant amount of extra space for variables) to sort the input array. The primary operations in the algorithm involve moving elements within the array itself without the need for additional auxiliary storage.