Create cycleSort

sorting/Python/cycleSort

@@ -0,0 +1,40 @@
+def cycleSort(array): 
+  writes = 0
+
+  # Loop through the array to find cycles to rotate. 
+  for cycleStart in range(0, len(array) - 1): 
+    item = array[cycleStart] 
+
+    # Find where to put the item. 
+    pos = cycleStart 
+    for i in range(cycleStart + 1, len(array)): 
+      if array[i] < item: 
+        pos += 1
+
+    # If the item is already there, this is not a cycle. 
+    if pos == cycleStart: 
+      continue
+
+    # Otherwise, put the item there or right after any duplicates. 
+    while item == array[pos]: 
+      pos += 1
+    array[pos], item = item, array[pos] 
+    writes += 1
+
+    # Rotate the rest of the cycle. 
+    while pos != cycleStart: 
+
+      # Find where to put the item. 
+      pos = cycleStart 
+      for i in range(cycleStart + 1, len(array)): 
+        if array[i] < item: 
+          pos += 1
+
+      # Put the item there or right after any duplicates. 
+      while item == array[pos]: 
+        pos += 1
+      array[pos], item = item, array[pos] 
+      writes += 1
+
+  return writes 
+