Example
(input)
output = 0
for cycleStart from 0 to length(array) - 2
item = array[cycleStart]
pos = cycleStart
for i from cycleStart + 1 to length(array) - 1
if array[i] < item:
pos += 1
if pos == cycleStart:
continue
while item == array[pos]:
pos += 1
array[pos], item = item, array[pos]
writes += 1
while pos != cycleStart:
pos = cycleStart
for i from cycleStart + 1 to length(array) - 1
if array[i] < item:
pos += 1
while item == array[pos]:
pos += 1
array[pos], item = item, array[pos]
writes += 1
return outout
