Accessing Inherited Functions

You are given three classes A, B and C. All three classes implement their own version of func.

In class A, func multiplies the value passed as a parameter by :

class A
{
    public:
        A(){
            callA = 0;
        }
    private:
        int callA;
        void inc(){
            callA++;
        }

    protected:
        void func(int & a)
        {
            a = a * 2;
            inc();
        }
    public:
        int getA(){
            return callA;
        }
};

In class B, func multiplies the value passed as a parameter by :

class B
{
    public:
        B(){
            callB = 0;
        }
    private:
        int callB;
        void inc(){
            callB++;
        }
    protected:
        void func(int & a)
        {
            a = a * 3;
            inc();
        }
    public:
        int getB(){
            return callB;
        }
};

In class C, func multiplies the value passed as a parameter by :

class C
{
    public:
        C(){
            callC = 0;
        }
    private:
        int callC;
        void inc(){
            callC++;
        }
    protected:
        void func(int & a)
        {
            a = a * 5;
            inc();
        }
    public:
        int getC(){
            return callC;
        }
};

You are given a class D:

class D 
{

	int val;
	public:
		//Initially val is 1
		 D()
		 {
		 	val = 1;
		 }


		 //Implement this function
		 void update_val(int new_val)
		 {

			
		 }
		 //For Checking Purpose
		 void check(int); //Do not delete this line.
};

You need to modify the class D and implement the function update_val which sets D's val to new_val by manipulating the value by only calling the func defined in classes A, B and C.

It is guaranteed that new_val has only and as its prime factors.

Input Format

Implement class D's function update_val. This function should update D's val only by calling A, B and C's func.

Constraints

new_val
Note: The new_val only has and as its prime factors.

Sample Input

new_val

Sample Output

A's func will be called once.
B's func will be called once.
C's func will be called once.

Explanation

Initially, val .

A's func is called once:

val = val*2  
val = 2

B's func is called once:

val = val*3
val = 6

C's func is called once:

val = val*5
val = 30