Question

A sequence of Fibonacci strings is generated as follows: 

S0 = “a”, SF = “b”, Sn = S(n-1) + S(n-2) where ‘+’ denotes concatenation. Thus the sequence is: 

a, b, ba, bab, babba, babbabab,……. n terms.

Design a class FiboString to generate Fibonacci strings. Some of the members of 

the class are given below: Class name: FiboString 

Data members/instance variables:

x: to store the first string 

y: to store the second string 

z: to store the concatenation of the previous two strings 

n: to store the number of terms 

Member functions/methods: 

FiboString(): constructor to assign x=”a”, y=”b” and z=”ba” 

void accept(): to accept the number of terms ‘n’ 

void generate(): to generate and print the Fibonacci strings. The sum of (‘+’ ie concatenation) first two strings is the third 

string. Eg. “a” is first string, “b” is second string then the third will be “ba”, and fourth will be “bab” and so on. 

Specify the class FiboString, giving details of the constructor(), 

void accept() and void generate(). Define the main() function to create an object and call the functions accordingly to enable the task.

Answer 1

importjava.util.*; 

class FiboString 

{ 

String x,y,z; 

int n; 

FiboString() 

{ 

x="a"; 

y="b"; 

z="ba"; 

} 

void accept() 

{ 

Scanner Sc = new Scanner (System.in); 

System. out.println ("Enter number of terms"); 

n = Sc.nextInt(); 

} 

void generate() { System. out.print(x+","+y); 

for(int i=0; i<=n-2; i++) 

{ 

System.out.print(","+z); 

x=y; 

y=z; 

z=y+x; OR z= y.concat(x); 

} 

} 

static void main() 

{ FiboString obj=new FiboString(); 

obj.accept(); 

obj.generate(); 

} 

}