In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation
Fn = Fn-1 + Fn-2
with seed values F1 = 1; F2 = 1 (sequence A000045 in OEIS).
---Wikipedia
Today, Fibonacci takes revenge on you. Now the first two elements of Fibonacci sequence has been redefined as A and B. You have to check if C is in the new Fibonacci sequence.
The first line contains a single integer T, indicating the number of test cases.
Each test case only contains three integers A, B and C.
[Technical Specification]
1. 1 <= T <= 100
2. 1 <= A, B, C <= 1 000 000 000
For each test case, output “Yes” if C is in the new Fibonacci sequence, otherwise “No”.
Yes
No
Yes
#include<stdio.h>
#include<string.h>
int s[10000];
int main()
{
int n,i,a,b,c,k;
scanf("%d",&n);
while(n--)
{
memset(s,0,sizeof(s));
scanf("%d%d%d",&a,&b,&c);
if(a==c||b==c) //本题容易少考虑的情况。
printf("Yes\n");
else
{
k=0;
s[1]=a,s[2]=b;
for(i=3;;)
{
s[i]=s[i-1]+s[i-2];
if(s[i]<c)
{
i++;
}
if(s[i]==c)
{
k=1;
break;
}
if(s[i]>c)
{
break;
}
}
if(k==1)
printf("Yes\n");
else
printf("No\n");
}
}
return 0;
}