1001 Can you solve this equation?

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;<br>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<br>100<br>-4<br>

 

Sample Output

1.6152<br>No solution!<br>

 

Author

Redow

#include<stdio.h>#include<math.h>double fun(double x){return 8*pow(x,4)+7*pow(x,3)+2*pow(x,2)+3*x+6;}int main(){int t;double y,mid;scanf("%d",&t);while(t--){scanf("%lf",&y);if(fun(1)>y||fun(100)<y){printf("No solution!\n");}else{double l=0,r=100;while(r-l>1e-9){mid=(r+l)/2;if(fun(mid)>y) r=mid;else l=mid;}printf("%.4lf\n",mid);}}return 0;}