HDU 2199 Can you solve this equation?(二分解方程)
传送门:
http://acm.hdu.edu.cn/showproblem.php?pid=2199
Can you solve this equation?
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 25039 Accepted Submission(s): 10776
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.
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
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代码:
#include<iostream> #include<algorithm> #include<stdio.h> #include<queue> #include<set> #include<map> #include<string> #include<memory.h> #include<math.h> #define eps 1e-7 using namespace std; int y; double f(double x) { return 8*pow(x,4)+7*pow(x,3)+2*pow(x,2)+3*x+6-y; } double ff() { double l=0,h=100; double mid; while(h-l>=eps)//精度控制 { mid=(l+h)/2; if(f(mid)>0) { h=mid; }else { l=mid; } } return mid; } int main() { int t; cin>>t; while(t--) { cin>>y; if(f(0)*f(100)>0)//与x轴无交点了 cout<<"No solution!"<<endl; else printf("%0.4lf\n",ff()); } return 0; }
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