Can you solve this equation?
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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
2100-4
Sample Output
1.6152No solution!
因为f函数是单调递增的,所以可以用二分;
#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 ncase,i,j,k;double m,n;scanf("%d",&ncase);while(ncase--){scanf("%lf",&m);if(f(0)>m||f(100)<m){printf("No solution!\n");continue;}double l,r;l=0.0;r=100.0;double mid=50.0;while(fabs(f(mid)-m)>1e-5){ if((f(mid)>m)) { r=mid; mid=(l+r)/2; } else if(f(mid)<m) { l=mid; mid=(l+r)/2; }}printf("%.4lf\n",mid);}return 0;}
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