Write a Python program to sort a list of elements using Cycle sort.
Cycle sort is an in-place, unstable sorting algorithm, a comparison sort that is theoretically optimal in terms of the total number of writes to the original array, unlike any other in-place sorting algorithm. 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.
def cycleSort(vector): "Sort a vector in place and return the number of writes." writes = 0 for cycleStart, item in enumerate(vector): pos = cycleStart for item2 in vector[cycleStart + 1:]: if item2 < item: pos += 1 if pos == cycleStart: continue while item == vector[pos]: pos += 1 vector[pos], item = item, vector[pos] writes += 1 while pos != cycleStart: pos = cycleStart for item2 in vector[cycleStart + 1:]: if item2 < item: pos += 1 while item == vector[pos]: pos += 1 vector[pos], item = item, vector[pos] writes += 1 return writes if __name__ == '__main__': x = [0, 1, 2, 2, 2, 2, 1, 9, 3.5, 5, 8, 4, 7, 0, 6] xcopy = x[::] writes = cycleSort(xcopy) if xcopy != sorted(x): print('Wrong order!') else: print('%rnIs correctly sorted using cycleSort to' 'n%rnUsing %i writes.' % (x, xcopy, writes))
[0, 1, 2, 2, 2, 2, 1, 9, 3.5, 5, 8, 4, 7, 0, 6] Is correctly sorted using cycleSort to [0, 0, 1, 1, 2, 2, 2, 2, 3.5, 4, 5, 6, 7, 8, 9] Using 10 writes.
Write a Python program to sort a list of elements using Cycle sort
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