chore(CPlusPlus): add cycle-sort (#440)

algorithms/CPlusPlus/README.md

@@ -81,6 +81,7 @@
 12. [Binary Insertion Sort](Sorting/binary-insertion-sort.cpp)
 13. [Merge Sort](Sorting/merge-sort.cpp)
 14. [Wave Sort](Sorting/wave-sort.cpp)
+15. [Cycle Sort](Sorting/cycle-sort.cpp)
 
 ## Strings
 

algorithms/CPlusPlus/Sorting/cycle-sort.cpp

@@ -0,0 +1,127 @@
+//                                                          ***Cycle Sort***
+// This sorting algorithm is best suited for situations where memory write or swap operations are costly. 
+// it is In-place and not stable 
+
+#include<bits/stdc++.h> 
+using namespace std; 
+
+void cycleSort(int arr[], int size) 
+{ 
+    for(int cyclestart=0;cyclestart<size-1;cyclestart++){
+        int item=arr[cyclestart];
+        int pos=cyclestart;
+        for(int i=cyclestart+1;i<size;i++)  //count total no of item less then curr item in an array
+            if(arr[i]<item)               
+                pos++;                
+        swap(item,arr[pos]);   //swap item to it's correct position
+        
+        while(pos!=cyclestart){       // now we have to find the index of prev item which is presnt at pos and we keep doing this till pos!=cyclestart
+            pos=cyclestart;
+            for(int i=cyclestart+1;i<size;i++)
+                if(arr[i]<item)
+                    pos++;
+            swap(item,arr[pos]);
+        }
+    }
+} 
+  
+int main() 
+{ 
+    int arr[] = { 20,40,10,50,30 }; 
+    int size = sizeof(arr) / sizeof(arr[0]); 
+    cycleSort(arr, size); 
+   
+    for (int i = 0; i < size; i++) 
+        cout << arr[i] << " ";
+        
+    return 0; 
+} 
+/*
+Time Complexity : O(n2) 
+Worst Case : O(n2) 
+Average Case: O(n2) 
+Best Case : O(n2)
+
+                                                           Explanation:-
+														     
+    
+	int arr[] = { 20,40,10,50,30};
+	int size= 5;
+	
+	  iteration 1:
+	    cyclestart=0;
+		item = 20;
+		pos = 0;
+		     for(int i=cyclestart+1;i<size;i++)           //count total no of item less then 20 in a array to find correct index of 20 in array 
+                 if(arr[i]<item)
+                     pos++; 
+             pos=1                                       //index of 20 is 1(pos) in a array
+	         swap(item,arr[pos]);                        //swap 20(item) with item present at index pos i.e 40.
+	         
+	         item=40;
+	         pos=1;
+	                                                     //Now we have to count item less then 40 in array and swap that item with updated pos
+	              pos=3
+		          swap(40,arr[3])                        // swap 40 with 50
+		          
+	         item=50;
+	         pos=3                                       
+			                                             //Now we have to count item less then 50 in array and swap that item with updated pos
+			      pos=4
+				  swap(50,arr[4])                        //swap 50 with 30  
+				  
+			 item=30;
+			 pos=4;	                          
+		                                                 //Now we have to count item less then 30 in array and swap that item with updated pos
+		          pos=2;
+				  swap(30,arr[2])                        //swap 30 with 10
+				  
+			 item=10;
+			 pos=2;
+			                                             //Now we have to count item less then 10 in array and swap that item with updated pos
+			      pos=0;
+				  swap(10,arr[0])                        //place 10 at 0index 
+			
+	pos=cyclestart while-loop terminate	
+	
+	Updated array after iterative 1 array = {10,20,30,40,50};
+	
+	
+	iteration 2:
+	        
+	        cyclestart=1;
+		    item = 20;
+		    pos = 1;
+		          for(int i=cyclestart+1;i<size;i++)         //count total no of item less then 20 in a array to find correct index of 20 in array 
+                      if(arr[i]<item
+                         pos++; 
+            pos=1                                      
+	        swap(item,arr[pos]); 
+	pos=cyclestart while-loop terminate	
+	
+	iteration 3:
+	        
+	        cyclestart=2;
+		    item = 30;
+		    pos = 2;
+		          for(int i=cyclestart+1;i<size;i++)           //count total no of item less then 30 in a array to find correct index of 20 in array 
+                      if(arr[i]<item)
+                         pos++; 
+            pos=2                                      
+	        swap(item,arr[pos]); 
+	pos=cyclestart while-loop terminate	
+	
+	iteration 4:
+	        
+	        cyclestart=3;
+		    item = 40;
+		    pos = 3;
+		          for(int i=cyclestart+1;i<size;i++)             //count total no of item less then 40 in a array to find correct index of 20 in array 
+                      if(arr[i]<item)
+                         pos++; 
+            pos=3                                      
+	        swap(item,arr[pos]); 
+	pos=cyclestart while-loop terminate		                                                       
+*/
+
+