在LJOJ上说这是三分,我就懒得去推公式了。学习三分法第一题。十分方便。
//By Richard #include <cstdio> #include <algorithm> #include <iostream> #include <cstring> #include <cstdlib> #include <cmath> #include <ctime> #define rep(x,y,z) for (int x=(y);(x)<=(z);(x)++) #define per(x,y,z) for (int x=(y);(x)>=(z);(x)--) #define log2(x) (31-__builtin_clz(x)) #define mod (int)(1e9+7) #define inf 0x3f3f3f3f #define cls(x) memset(x,0,sizeof(x)) #ifdef DEBUG #define debugdo(X) X #define debugndo(X) #define debugout(X) cout<<(#X)<<"="<<(X)<<endl #else #define debugdo(X) #define debugndo(X) X #define debugout(X) #endif // debug #ifdef ONLINE_JUDGE #define debugdo(X) #define debugndo(X) #define debugout(X) #endif #define putarray(x,n) rep(iiii,1,n) printf("%d ",x[iiii]) #define mp make_pair using namespace std; typedef pair<int,int> pairs; typedef long long LL; /////////////////////read3.0//////////////////////////////////// template <typename T> inline void read(T &x){char ch;x=0;bool flag=false;ch=getchar();while (ch>'9'||ch<'0') {ch=getchar();if (ch=='-') flag=true;}while ((ch<='9'&&ch>='0')){x=x*10+ch-'0';ch=getchar();}if (flag) x*=-1;} template <typename T> inline void read(T &x,T &y){read(x);read(y);} /////////////////variables&functions////////////////////int T;
double H,h,D;
const double eps=0.0000001;
// #define calc(x) (x+((h/(x+(hD-Hx)/(H-h)))(hD-Hx)/(H-h)))
// #define calc(x) (x+((hD-Hx)/(D-x)))
inline double calc(double x)
{
double temp=(hD-H*x)/(D-x);
if (temp>0) return x+temp;
else return (D-x)/(H-h);
}
int main()
{
read(T);
while (T–)
{
scanf("%lf%lf%lf",&H,&h,&D);
double l=0,r=D;
while (r-l>eps)
{
double ll=(r-l)/3+l,rr=(r-l)*2/3+l;
double ansll=calc(ll),ansrr=calc(rr);
if (ansll>ansrr) r=rr;
else l=ll;
}
printf("%.3lf\n",calc(l));
}
return 0;
}