二分查找求函数的区间最小值&&http://acm.hdu.edu.cn/showproblem.php?pid=2899

Strange fuction

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 792 Accepted Submission(s): 607

Problem Description

Now, here is a fuction:
F(x) = 6 * x^7+8*x^6+7*x^3+5*x^2-y*x (0 <= x <=100)
Can you find the minimum value when x is between 0 and 100.

Input

The first line of the input contains an integer T(1<=T<=100) which means the number of test cases. Then T lines follow, each line has only one real numbers Y.(0 < Y <1e10)

Output

Just the minimum value (accurate up to 4 decimal places),when x is between 0 and 100.

Sample Input

   
   
   
   

    
    
    
    2
100
200
   
   
   
   

Sample Output

   
   
   
   

    
    
    
    -74.4291
-178.8534
   
   
   
   
   
   
   
   

    
    
    
    AC代码：
   
   
   
   
   
   
   
   

    
    
    
    
#include<iostream>
#include<cmath>
#include<cstdio>
#define exp 1e-7
using namespace std;
double f(double x)
{ return  42*pow(x,6.0)+48*pow(x,5.0)+21*pow(x,2.0)+10*x;}
double f1(double x,int a)
{return 6*pow(x,7.0)+8*pow(x,6.0)+7*pow(x,3.0)+5*pow(x,2.0)-a*x;}
int main()
{
	int T;
	scanf("%d",&T);
	while(T--)
	{
		int a;
		scanf("%d",&a);
		   double l=0.0,r=100.0,mid;
			while(r-l>exp)
			{
		      mid=(l+r)/2;
			  if(f(mid)>a) r=mid-exp;
			  else      l=mid+exp;
			}
			printf("%.4lf\n",f1(mid,a));
		}return 0;
}