Fibonacci Again
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 21187 Accepted Submission(s): 10145
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
#include <stdio.h> #define maxn 1000010 int str[maxn]; int main() {int i,x; str[0]=1;str[1]=2; for(i=2;i<maxn;i++) str[i]=(str[i-1]+str[i-2])%3; while(scanf("%d",&x)!=EOF) { printf("%s\n",str[x]%3==0?"yes":"no"); } return 0;
本文介绍了一种特殊的Fibonacci序列,该序列从F(0)=7和F(1)=11开始,并遵循F(n)=F(n-1)+F(n-2)的递推公式。通过一个简单的C语言程序实现,该程序可以快速判断给定位置n的Fibonacci数是否能被3整除,并输出相应的结果。
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