What is the time complexity of the following recursive implementation used to find the sum of the first n natural numbers?
#include<stdio.h>
int recursive_sum(int n)
{
if(n == 0)
return 0;
return n + recursive_sum(n - 1);
}
int main()
{
int n = 5;
int ans = recursive_sum(n);
printf("%d",ans);
return 0;
}
#include<stdio.h>
int recursive_sum(int n)
{
if(n == 0)
return 0;
return n + recursive_sum(n - 1);
}
int main()
{
int n = 5;
int ans = recursive_sum(n);
printf("%d",ans);
return 0;
}
A. O(1)
B. O(n)
C. O(n2)
D. O(n3)
Answer: Option B
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