hdu 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): 13855 Accepted Submission(s): 6185
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!题型:二分查找注意,,double型数据不能直接用等号,而应该作使差的绝对值小于一个足够小的数,,水题#include<iostream> #include<cstdio> #include<cstring> #include<math.h> using namespace std; double y; double f(double x) { return 8*x*x*x*x+7*x*x*x+2*x*x+3*x+6-y; } int main() { int cas; scanf("%d",&cas); while(cas--) { scanf("%lf",&y); if(f(0)>0||f(100)<0) { printf("No solution!\n"); continue; } double m,l=0,r=100; while(r-l>=1e-8) { m=(l+r)/2.0; if(f(m)<0) l=m; else r=m; if(fabs(f(m))<1e-8) break; } printf("%.4lf\n",m); } return 0; }
你说,我们都会幸福的,对吧?