Question

Q1. Write a recursive function in C++

void printNumberedChars(string str, int i=0) { ... }

which prints each character of the given string str on a new line, with each line numbered 1, 2, 3, …. For example calling the function with printNumberedChars("hello"); should output the following:

1. h

2. e

3. l

4. l

5. o

Q2. Write a recursive function in C++

int sumArray(const int* arr, unsigned int size) { ... }

which takes an array of integers, of the specified size, and returns the sum of the numbers in the array.

Q3. Write a recursive function in C++

long lowestPrimeFactor(long N, long i=2) { ... }

that returns the lowest prime factor of the number N. Note the following cases:

• If N is less than 2, then return 1
• If N is prime, then return N
• Otherwise, return the lowest prime factor of N

Note: It is suggested that the default value of the parameter i should be 2. This default may be different depending on your implementation.

Q4. Write a recursive function in C++

void printPrimeFactors(long N) { ... }

that prints out all prime factors of N in order of largest to smallest.

For example, calling your method from main() with

printPrimeFactors(1289531243);

should print out the following to the output console:

83 83 17 13 11 11 7

Note: Your function code should use the lowestPrimeFactor() function that you wrote in Q3.

Q5. Write a Java class called Rectangle which has length and width private data members and the following methods:

• A constructor Rectangle(double l, double w), which sets the length and width when a new rectangle object is being created
• A double perimeter() method which returns the perimeter length of the rectangle
• A void printInfo() method, which prints out the length, width and perimeter of the rectangle

Q6. Add a second constructor to your Rectangle class which has the method signature Rectangle(double x1, double y1, double x2, double y2) where the points (x1,y1) and (x2,y2) specify the lower left and upper right hand corners of a rectangle. Don't add any new data members to the class. Note that the length of the rectangle is taken to be the dimension in the X-direction and the height is in the Y-direction. Also add a main() method to your class which contains test code that creates two Rectangle objects, using a different constructor for each object, and calls the printInfo() method of each object.

Q7. Write a Java class Publication which has private data members author, title and year (as Java Strings). Add a constructor to your class which allows author, title and year to be initialized. Add a method void display() which prints out the details (author, title and year) of a publication.

Q8. Write a Java class Book which inherits from your Publication class and has an additional data member publisher. Override the void display() method of the parent Book class so that the publisher name is also included when printing out the details of a Book. Add a constructor to your Book class which allows all data members to be given initial values. Book’s constructor must call the constructor of its parent class.

Q9. Add a main() method to your Book class which creates an array of three Publication references. Create and assign a new Book object to each reference in the array and write a for loop that calls the display() method of each Book object.

Q10. Write a Java class called Vector3. A Vector3 is a three-component vector, i.e. representing the vector x i + y j + z k. , where i, j and k are the unit vectors in the x, y and z directions, respectively. Your class should have a constructor, which takes x, y and z component values. Your class should also have a method:

Vector3 crossProduct(Vector3 vec) { ... }

which returns the cross-product of this vector and a given vector vec.

Answer 1

#include<iostream>

using namespace std;

void printNumberedChar(string str,int i)

{

if(str[i]=='\0')

return ;

else

cout<<(i+1)<<":"<<str[i]<<endl;

printNumberedChar(str, i+1);

  

}

int main()

{

printNumberedChar("PROGRAMMING",0);

}

2)

#include<iostream>

using namespace std;

int sumArray(const int *arr,int size)

{

if(size<0)

return 0;

else

{

//cout<<"\n->"<<*(arr+size);

return *(arr+size)+sumArray(arr,size-1);

}

}

int main()

{

int a[20],n;

cout<<"\nEnter the total numbers in array :";

cin>>n;

for(int i=0;i<n;i++)

{

cout<<"Enter number :";

cin>>a[i];

}

int i=sumArray(a,n-1);

cout<<endl<<"Sum of number in array:"<<i;

}

Please don't post so many questions at once... Only one question at a time is what we are asked to solve.. Also please upvote thanks