HDOJ 2199 Can you solve this equation?

Can you solve this equation?

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 14483 Accepted Submission(s): 6461



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!

简单二分

#include <cstdio>
#include <iostream>
#include <cmath>
#include <algorithm>

using namespace std;
const int maxn = 100000 + 10;

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

int main()
{
int t;
double y;
double i, j, middle;
scanf("%d", &t);
while (t--){
scanf("%lf", &y);
i = 1, j = 100;
if (y < f(1) || y > f(100)){
printf("No solution!\n");
continue;
}
while (j - i > 1e-8){
middle = (i + j) / 2;
if (f(middle) > y)
j = middle;
else
i = middle;
}
printf("%.4lf\n", middle);
}
return 0;
}