2199 Can you solve this equation?

Problem Description

Now,given the equation 8*x^4 + 7*x^3 + 2*x^2 + 3*x + 6 == Y,can you find its solution between 0 and 100;
Now please try your lucky.

 

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 a real number Y (fabs(Y) <= 1e10);

 

Output

For each test case, you should just output one real number(accurate up to 4 decimal places),which is the solution of the equation,or “No solution!”,if there is no solution for the equation between 0 and 100.

 

Sample Input

2
100
-4

 

Sample Output

1.6152
No solution!

 

Author

Redow

 

二分查找题~

<span style="font-size:10px;">//HDOJ_2199
//20150916

#include<iostream>
#include<cmath>
#include<iomanip>
using namespace std;


double f(double x)
{
	return 8*pow(x,4)+7*pow(x,3)+2*pow(x,2)+3*pow(x,1)+6;
}


int main()
{
	int T;
	double Y,l,r,m;
	cin>>T;
	while(T--)
	{
		cin>>Y;
		if(f(0)<=Y&&f(100)>=Y)
		{
			l=0;
			r=100;
			while(l-r<-1e-6)
			{
				m=(l+r)/2;
				double ans=f(m);
				if(ans>Y)
					r=m-(1e-7);
				else
					l=m+(1e-7);
			}
			cout<<fixed<<setprecision(4)<<(l+r)/2<<endl;
		}
		else
			cout<<"No solution!"<<endl;
	}
	
}</span>