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  1. #include<bits/stdc++.h>
  2. #define PI acos(-1)
  3. #define fast() ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
  4. #define ll long long int
  5. #define mem(a,b) memset(a,b,sizeof(a))
  6. #define MX 100005
  7. #define MXX 2000005
  8. //#define  s second
  9. //#define f first
  10. #define mod 1000000007
  11. #define inf 1e9
  12. #define eps 1e-15
  13. //int ex[]={1,-1,0,0};
  14. //int wye[]={0,0,1,-1};
  15. using namespace std;
  16. int t;
  17.  double l,n,c,an,b,a,tmp,s;
  18. int main()
  19. {
  20.     fast();
  21.     scanf("%d",&t);
  22.     for(int i=1;i<=t;i++){
  23.         scanf("%lf%lf%lf",&l,&n,&c);
  24.         s=(1+(n*c))*l;
  25.         double hi=1e9,lo=0.0,mid;
  26.         for(int j=1;j<=100;j++){
  27.             mid=(lo+hi)/2.0;
  28.             b=((l/2)*(l/2))+(mid*mid);
  29.             a=l*l;
  30.             tmp=(acos((b+b-a)/(b+b))*sqrt(b));
  31.             if(s>tmp) hi=mid;
  32.             else lo=mid;
  33.         }
  34.         tmp=((l/2)*(l/2))+(mid*mid);
  35.         tmp=(sqrt(tmp)-mid);
  36.         printf("Case %d:%.15lf\n",i,tmp);
  37.     }
  38.     return 0;
  39. }
  40.  
Success #stdin #stdout 0s 15240KB
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https://ideone.com/db4Dzb
language:
C++14 (gcc 8.3)
created:
7 years ago
visibility:
public

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