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UVA10341 Solve It

‍️ English Title Description

‍️ Title Translation

️‍ Solve the equation shown below ：$p\times e^{-x}+q\times \sin (x)+r\times \cos (x)+s\times \tan (x)+t\times x^2+u=0$

among $p,q,r,s,t,u$ by Parameters ,$0\le x\le 1$ .

️‍ Input format ： Input $p,q,r,s,t,u$

️‍ Output format ： The solution of the equation , If there is no solution, output No solution.

️‍ Data range ：$0\le p,r\le 20$ and $-20\le q,s,t\le 0$.

‍️ I/o sample

 Input  #1
0 0 0 0 -2 1
1 0 0 0 -1 2
1 -1 1 -1 -1 1
 Output  #1
0.7071
No solution
0.7554

CODE

#include<bits/stdc++.h>
using namespace std;
const double eps=1e-10;
double p,q,r,s,t,u,L,R,mid;
inline double f(double x)
{
    
	return p*exp(-x)+q*sin(x)+r*cos(x)+s*tan(x)+t*x*x+u;
}

int main()
{
    
	while(scanf("%lf%lf%lf%lf%lf%lf",&p,&q,&r,&s,&t,&u)!=-1)
	{
    
		L=0,R=1;
		if(f(L)*f(R)>0)
		{
    
			printf("No solution\n");
			continue;
		}
		while(R-L>=eps)
		{
    
			mid=(L+R)/2;
			if(f(mid)>0) L=mid;
			else R=mid;
		}
		printf("%.4f\n",L);
	}
	return 0;
}

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