Fibonacci Again
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 22217 Accepted Submission(s): 10727
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
Author
Leojay
Recommend
JGShining
分析:输入N,找下F(n)是不是能被3整除,找规律f(0)/3余1,f(1)余2,f(2)余0,f(3)余2,f(4)余2,f(5)余1,f(6)余0,f(7)余1,f(8)余1,f(9)余2,这里就看出循环了每8个数一个循环,在每个循环里只有2个数可以被3整除。
代码:
#include<stdio.h> int main() { int n; while(scanf("%d",&n)!=EOF) { if(n%8==2||n%8==6) printf("yes\n"); else printf("no\n"); } return 0; }