Problem Description
There are another kind of Fibonacci numbers: F(0) = 7, F(1) = 11, F(n) = F(n-1) + F(n-2) (n>=2).
Input
Input consists of a sequence of lines, each containing an integer n. (n < 1,000,000).
Output
Print the word "yes" if 3 divide evenly into F(n).
Print the word "no" if not.
Print the word "no" if not.
Sample Input
0
1
2
3
4
5
Sample Output
no
no
yes
no
no
no
簡單的斐波那契數列,注意的是求和的時候也要mod3
#include<cstdio>
int a[1000001],n;
int main()
{
a[0]=7;
a[1]=11;
for(int i=2;i<=1000000;i++)
a[i]=(a[i-1]%3)+(a[i-2]%3);
while(scanf("%d",&n)!=EOF){
if(a[n]%3==0)
printf("yes\n");
else
printf("no\n");
}
}