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  1. // iostream is too mainstream
  2. #include <cstdio>
  3. // bitch please
  4. #include <iostream>
  5. #include <vector>
  6. #include <set>
  7. #include <map>
  8. #include <string>
  9. #include <queue>
  10. #include <stack>
  11. #include <algorithm>
  12. #include <iomanip>
  13. #define dibs reserve
  14. #define OVER9000 1234567890
  15. #define patkan 9
  16. #define tisic 47
  17. #define soclose 10e-7
  18. #define ALL_THE(CAKE,LIE) for(auto LIE =CAKE.begin(); LIE != CAKE.end(); LIE++)
  19. #define chocolate win
  20. #define ff first
  21. #define ss second
  22. #define abs(x) ((x < 0)?-(x):(x))
  23. // mylittlepony
  24. using namespace std;
  25.  
  26. int main() {
  27. 	// freopen("zeriba.in","r",stdin);
  28. 	int T;
  29. 	scanf(" %d",&T);
  30.  
  31.     for(int t =0; t < T; t++) {
  32.     	int N;
  33.     	scanf(" %d",&N);
  34.     	printf("Case %d: ",t+1);
  35.     	vector<int> L(N);
  36.     	for(int i =0; i < N; i++) scanf(" %d",&L[i]);
  37.  
  38.     	// possible?
  39.     	int S =0;
  40.     	bool ok =true;
  41.     	for(int i =0; i < N; i++) S +=L[i];
  42.     	for(int i =0; i < N; i++) if(L[i]*2 >= S) ok =false;
  43.     	if(!ok) {printf("can't form a convex polygon\n"); continue;}
  44.  
  45.     	double Rmin =soclose, Rmax =1e+7;
  46.     	for(int i =0; i < N; i++) Rmin =max(Rmin,L[i]/2.0)+soclose;
  47.     	while(Rmax-Rmin > soclose) {
  48.     		double R =(Rmax+Rmin)/2;
  49.     		double ang =0;
  50.     		for(int i =0; i < N; i++) ang +=asin(1.0*L[i]/(2*R));
  51.     		if(ang > 4*atan(1)) Rmin =R;
  52.     		else Rmax =R;}
  53.  
  54.     	printf("%.4f\n",Rmax);}
  55.     return 0;}
  56.  
  57. // look at my code
  58. // my code is amazing
Success #stdin #stdout 0s 3432KB
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stdout
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Case 1: 0.7071
Case 2: 0.5774
https://ideone.com/hYfGtZ
cf s01e10
language:
C++14 (gcc 8.3)
created:
10 years ago
visibility:
public

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