hdu 1021 Fibonacci Again（变形的斐波那契）

Posted 2020-12-04 yinbiao

传送门：http://acm.hdu.edu.cn/showproblem.php?pid=1021

Fibonacci Again

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 70782    Accepted Submission(s): 32417

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.

 

 

Sample Input

0 1 2 3 4 5

 

 

Sample Output

no no yes no no no

 

 

Author

Leojay

 

 

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分析：

别多想

直接暴力即可，开始还想找规律来着

注意求第i项的时刻记得模3

不然会溢出（w了两次。。。gg）

 

code：

#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
#define max_v 1000005
LL f[max_v];
int main()
{
    f[0]=7;
    f[1]=11;
    for(LL i=2;i<max_v;i++)
    {
        f[i]=(f[i-1]%3+f[i-2]%3)%3;
    }
    LL n;
    while(~scanf("%I64d",&n))
    {
        if(f[n]%3==0)
            printf("yes
");
        else
            printf("no
");
    }
    return 0;
}