added cycle sort java program

Java/Cyclesort.java

@@ -0,0 +1,75 @@
+import java.util.*;
+import java.lang.*;
+
+class GFG {
+    // Function sort the array using Cycle sort
+    public static void cycleSort(int arr[], int n)
+    {
+        // count number of memory writes
+        int writes = 0;
+
+        // traverse array elements and put it to on
+        // the right place
+        for (int cycle_start = 0; cycle_start <= n - 2; cycle_start++) {
+            // initialize item as starting point
+            int item = arr[cycle_start];
+
+            // Find position where we put the item. We basically
+            // count all smaller elements on right side of item.
+            int pos = cycle_start;
+            for (int i = cycle_start + 1; i < n; i++)
+                if (arr[i] < item)
+                    pos++;
+
+            // If item is already in correct position
+            if (pos == cycle_start)
+                continue;
+
+            // ignore all duplicate elements
+            while (item == arr[pos])
+                pos += 1;
+
+            // put the item to it's right position
+            if (pos != cycle_start) {
+                int temp = item;
+                item = arr[pos];
+                arr[pos] = temp;
+                writes++;
+            }
+
+            // Rotate rest of the cycle
+            while (pos != cycle_start) {
+                pos = cycle_start;
+
+                // Find position where we put the element
+                for (int i = cycle_start + 1; i < n; i++)
+                    if (arr[i] < item)
+                        pos += 1;
+
+                // ignore all duplicate elements
+                while (item == arr[pos])
+                    pos += 1;
+
+                // put the item to it's right position
+                if (item != arr[pos]) {
+                    int temp = item;
+                    item = arr[pos];
+                    arr[pos] = temp;
+                    writes++;
+                }
+            }
+        }
+    }
+
+    // Driver program to test above function
+    public static void main(String[] args)
+    {
+        int arr[] = { 1, 8, 3, 9, 10, 10, 2, 4 };
+        int n = arr.length;
+        cycleSort(arr, n);
+
+        System.out.println("After sort : ");
+        for (int i = 0; i < n; i++)
+            System.out.print(arr[i] + " ");
+    }
+}