Added Collatz Conjecture implementation

others/collatz_conjecture.cpp

@@ -0,0 +1,40 @@
+//Collatz Conjeture
+
+// The Collatz conjecture is a conjecture in mathematics 
+// that concerns a sequence defined as follows: 
+// start with any positive integer n. 
+// Then each term is obtained from the previous term as follows: 
+// if the previous term is even, the next term is one half of the previous term. 
+// If the previous term is odd, the next term is 3 times the previous term plus 1. 
+// The conjecture is that no matter what value of n, the sequence will always reach 1.
+
+#include<iostream>
+using namespace std;
+int main()
+{
+	int n=0,i,j,cnt,start,max=0;
+	for(i=1;i<20;i++)
+	{
+		n=i;
+		do
+		{ 
+			if((n%2)==0)
+			{
+				n=n/2;					
+			}
+			else
+			{
+				n=((3*n)+1);				
+			}
+			cnt++;
+			if(cnt>max)
+			{
+				max=cnt;
+				start=i;
+			}			
+		}while(n>1);
+		cnt=0;
+	}			
+	cout<<start;
+	return 0;
+}