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(TCS) 1, 2, 1, 3, 2, 5, 3, 7, 5, 11, 8, 13, 13, 17…..
Consider the below series:
1, 2, 1, 3, 2, 5, 3, 7, 5, 11, 8, 13, 13, 17…..
This series is a mixture of 2 series fail the odd terms in this series form a Fibonacci series and all the even terms are the prime numbers in ascending order
Write a program to find the Nth term in this series
The value N in a positive integer that should be read from mm. The Nth term that is calculated by the program should be written to STDOUT Otherthan the value of Nth term , no other characters / string or message should be written to STDOUT.
For example, when N:14, the 14th term in the series is 17 So only the value 17 should be printed to STDOUT
C
C++
C
#include<stdio.h>
#define MAX 99999
void fibonacci(int n)
{
/* Variable initialization */
int a = 0, b = 1, next;
//the below code is for fibonacci series till nth position
for (int i = 1; i<=n; i++)
{
next = a + b;
a = b;
b = next;
}
//will print a not b or next as they are stored to calculate next and next to next term
printf("%d", a);
}
void prime(int n)
{
int i, j, flag, count =0;
//as prime numbers in given question start from 2
for (i=2; i<=MAX; i++)
{
flag = 0;
//to check if divisible apart from 1 & itself
//loop starts from 2 to ignore divisibilty by 1 & ends before the number itself
for (j=2; j<i; j++)
{
if(i%j == 0)
{
//number is not prime
flag = 1;
break;
}
}
//is prime
if (flag == 0){
//if found the nth prime number
if(++count == n)
{
printf("%d", i);
break;
}
}
}
}
int main(){
int n;
scanf("%d", &n);
/*if n is odd
nth number in main series will be found at (n/2 + 1) position
in fibonacci sub series
else
if n is even then it will be found in (n/2) position in prime sub series */
if(n%2 == 1)
fibonacci (n/2 + 1);
else
prime(n/2);
return 0;
}
C++
#include<iostream>
#define MAX 99999
using namespace std;
void fibonacci(int n)
{
/* Variable initialization */
int a = 0, b = 1, next;
//the below code is for fibonacci series till nth position
for (int i = 1; i<=n; i++)
{
next = a + b;
a = b;
b = next;
}
//will print a not b or next as they are stored to calculate next and next to next term
cout<< a;
}
void prime(int n)
{
int i, j, flag, count =0;
//as prime numbers in given question start from 2
for (i=2; i<=MAX; i++)
{
flag = 0;
//to check if divisible apart from 1 & itself
//loop starts from 2 to ignore divisibilty by 1 & ends before the number itself
for (j=2; j<i; j++)
{
if(i%j == 0)
{
//number is not prime
flag = 1;
break;
}
}
//is prime
if (flag == 0){
//if found the nth prime number
if(++count == n)
{
cout<< i;
break;
}
}
}
}
int main(){
int n;
cin >> n;
/*if n is odd
nth number in main series will be found at (n/2 + 1) position
in fibonacci sub series
else
if n is even then it will be found in (n/2) position in prime sub series */
if(n%2 == 1)
fibonacci (n/2 + 1);
else
prime(n/2);
return 0;
}