hdu 2199~Can you solve the equation?~二分法求解
2015-07-30 11:32
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Can you solve this equation?
Time Limit : 2000/1000ms (Java/Other) Memory Limit : 32768/32768K (Java/Other)Total Submission(s) : 28 Accepted Submission(s) : 17
[align=left]Problem Description[/align]
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.
[align=left]Input[/align]
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);
[align=left]Output[/align]
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.
[align=left]Sample Input[/align]
2
100
-4
[align=left]Sample Output[/align]
1.6152
No solution! AC_code:
#include<stdio.h> #include<math.h> double f(double x) { return 8*x*x*x*x+ 7*x*x*x + 2*x*x + 3*x + 6; } int main() { int n; double y,mid,l,r; scanf("%d",&n); while(n--) { scanf("%lf",&y); if(y<f(0)||y>f(100)) printf("No solution!\n"); else { l=0;r=100; while(r-l>1e-10) { mid=(r+l)/2; if(f(mid)<y) l=mid+1e-10; else r=mid-1e-10; } printf("%.4lf\n",mid); } } return 0; }
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