KK's Steel

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 197    Accepted Submission(s): 90


Problem Description
Our lovely KK has a difficult mathematical problem:he has a N(1≤N≤1018) meters steel,he will cut it into steels as many as possible,and he doesn't want any two of them be the same length or any three of them can form a triangle.
 

 

Input
The first line of the input file contains an integer T(1≤T≤10) , which indicates the number of test cases.

Each test case contains one line including a integer N(1≤N≤1018) ,indicating the length of the steel.
 

 

Output
For each test case, output one line, an integer represent the maxiumum number of steels he can cut it into.
 

 

Sample Input
1 6
 

 

Sample Output
3
Hint
1+2+3=6 but 1+2=3 They are all different and cannot make a triangle.
 

 

Source
BestCoder Round #71 (div.2)
 
题意： n米长的钢管切成若干段 要求每段 长度不同 且任意三段不能组成三角形 问最多能分成多少段
题解： 易发现 满足斐波那契数列
 
　　 
#include<iostream>
#include<cstdio>
#define LL __int64
using namespace std;
int main()
{
    int t;
    LL n;
    scanf("%d",&t);
    for(int i=1;i<=t;i++)
    {
        scanf("%I64d",&n);
        LL exm=1;
        LL ans=0;
        LL flag=1;
        while(n>=exm)
        {
            LL gg;
            gg=exm;
          ans++;
          n-=exm;
          exm+=flag;
          flag=gg;
          //cout<<flag<<" "<<exm<<endl;
        }
        printf("%I64d\n",ans);
    }
    return 0;
}