http://acm.hdu.edu.cn/showproblem.php?pid=5018
Revenge of Fibonacci
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 724 Accepted Submission(s): 335
Problem Description
In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation
F n = F n-1 + F n-2
with seed values F 1 = 1; F 2 = 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.
F n = F n-1 + F n-2
with seed values F 1 = 1; F 2 = 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.
Input
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
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
Output
For each test case, output “Yes” if C is in the new Fibonacci sequence, otherwise “No”.
Sample Input
3 2 3 5 2 3 6 2 2 110
Sample Output
Yes No YesHintFor the third test case, the new Fibonacci sequence is: 2, 2, 4, 6, 10, 16, 26, 42, 68, 110…
大体思路就是一个一个数判断,因为C<=1000000000,所以是可行的,开始写先把所有的斐波那契数存到数组中,那样超内存了,后来又改为直接比较。
#include<stdio.h>
#include<string.h>
#define MAX 1000000000
__int64 a,b,C,c;
int main()
{
int N,i,j,k,J;
scanf("%d",&N);
while(N--)
{
scanf("%I64d %I64d %I64d",&a,&b,&C);
if(C==a||C==b)
{
printf("Yes\n");
continue;
}
for(i=3,J=0,c=0;c<=MAX+10;i++)
{
c=a+b;
//printf("%I64d %I64d %I64d#\n",a,b,c);
a=b;
b=c;
if(c==C)
{
J=1;
break;
}
}
if(J==1)
printf("Yes\n");
else
printf("No\n");
}
return 0;
}