hdoj 2199 Can you solve this equation?【浮点型数据二分】

时间:2023-12-25 16:25:49

Can you solve this equation?

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 12766    Accepted Submission(s):
5696

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!
#include<stdio.h>
#include<string.h>
double f(double v)//用来计算方程结果(即y的值)
{
return 8*v*v*v*v+7*v*v*v+2*v*v+3*v+6;
}
int main()
{
int t;
double y,l,r,mid;
scanf("%d",&t);
while(t--)
{
scanf("%lf",&y);
if(y<f(0)||y>f(100))
{
printf("No solution!\n");
continue;
}
l=0;r=100;mid=0;
while((r-l) > 1e-10)//题目要求精度为小数点后四位,最好把精度调高
{
mid=(l+r)/2;//每次折半取x的范围
if(f(mid) < y)
l=mid;
else
r=mid;
}
printf("%.4lf\n",mid);
}
}