Following is the recursive definition of Fibonacci sequence:
Now we need to check whether a number can be expressed as the product of numbers in the Fibonacci sequence.
Input
There is a number \(T\) shows there are \(T\) test cases below. (T≤100,000T≤100,000)
For each test case , the first line contains a integers n , which means the number need to be checked.
0≤n≤1,000,000,0000≤n≤1,000,000,000
Output
For each case output "Yes" or "No".
Sample Input
3 4 17 233
Sample Output
Yes No Yes
剪枝!:dfs第二个参数意味着枚举时最多需要扫到的位置
#include<stdio.h>
#include<string.h>
#include<math.h>
#include<time.h>
#include<iostream>
#include<algorithm>
#include<string>
#include<vector>
#include<queue>
#include<set>
#include<map>
#include<stack>
using namespace std;
#define LL long long
#define mst(a) memset(a,0,sizeof(a))
const int max_n=2e5+5;
LL a[100],t,n;
int dfs(LL x,LL max1)
{
if(x<=3)return 1;
for(int i=3;i<=max1;i++)
{
if(x%a[i]==0)
{
if(dfs(x/a[i],i))return 1;
}
}
return 0;
}
int main()
{
//freopen("1.in","r",stdin);freopen("1.out","w",stdout);
for(int i=0;i<=48;i++)
{
if(i==0)a[i]=0;
if(i==1)a[i]=1;
else a[i]=a[i-1]+a[i-2];
//printf("%d\n",a[i]);
}
scanf("%lld",&t);
while(t--)
{
scanf("%lld",&n);
if(dfs(n,48))
{
printf("Yes\n");
}
else printf("No\n");
}
return 0;
}