HDU 2199 Can solve this equation (two minutes)

Source: Internet
Author: User
Tags printf

Can You solve this equation? Time limit:2000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)
Total submission (s): 8292 Accepted Submission (s): 3830



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 10 0;
Now 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);
Should just output one real number (accurate up to 4 decimal places), which is the solution O f 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!





Water problem together ~ ~ ~ but also is a very classic two decomposition equation of the topic.


Test instructions: Give an equation 8*x^4 + 7*x^3 + 2*x^2 + 3*x + 6 ==y, give the title Y, solve within the interval [0,100].


Analysis: The derivation shows that the function is monocytogenes on [0,100] and has monotonicity, so it can be solved by two points. It's completely a template question ~ ~ ~







AC Code:

#include <cmath>
#include <cstdio>
#define EPS 1e-8

double Fun (double x)
{
    return 8*x *x*x*x + 7*x*x*x + 2*x*x + 3*x + 6;
}

int main ()
{
    double y,a,b,m,d;
    int T;
    scanf ("%d", &t);
    while (t--)
    {
        scanf ("%lf", &y);
        if (y<fun (0) | | y>fun (+))
        {
            printf ("No solution!\n");
            Continue;
        }
        a=0.0;
        b=100.0;
        while (b-a>eps)
        {
            m=b+ (A-B)/2;
            if (Fun (m) <y)  a=m;
            else   b=m;
        }
        printf ("%.4f\n", a);
    }
    return 0;
}


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