Solve the equation: p ∗ e −x + q ∗ sin(x) + r ∗ cos(x) + s ∗ tan(x) + t ∗ x 2 + u = 0 where 0 ≤ x ≤ 1. Input Input consists of multiple test cases and terminated by an EOF. Each test case consists of 6 integers in a single line: p, q, r, s, t and u (where 0 ≤ p, r ≤ 20 and −20 ≤ q, s, t ≤ 0). There will be maximum 2100 lines in the input file. Output For each set of input, there should be a line containing the value of x, correct up to 4 decimal places, or the string ‘No solution’, whichever is applicable. Sample Input 0 0 0 0 -2 1 1 0 0 0 -1 2 1 -1 1 -1 -1 1 Sample Output 0.7071 No solution
0.7554
二分枚举x
#include<stdio.h>
#include<math.h>
int p,q,r,s,t,u;
double check(double x)
{
return p*exp(-x)+q*sin(x)+r*cos(x)+s*tan(x)+t*x*x+u;
}
int main()
{
while(~scanf("%d%d%d%d%d%d",&p,&q,&r,&s,&t,&u))
{
double high=1,low=0,mid;
while(high-low>1e-8)
{
mid=(high+low)/2;
if(check(mid) > 0)
low=mid;
else
high=mid;
}
if(fabs(check(mid)-0.0)<1e-6)
printf("%.4f\n",mid);
else
printf("No solution\n");
}
return 0;
}
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