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  1. #include <iostream>
  2. #include <algorithm>
  3. #include <math.h>
  4. #include <stdio.h>
  5. using namespace std;
  6.  
  7. int main(){
  8. 	double ang, s, sq, r2, res, M[500];
  9. 	int n, r, pts;
  10. 	while(cin >> n >> r, n + r != 0){
  11. 		for(int i = 0; i < n; i++){
  12.                 cin >> M[i];
  13.                 M[i] = M[i] * M_PI / 180;
  14. 		}
  15. 		sort(M, M + n);
  16. 		res = M_PI * r * r * n * (n - 1) * (n - 2) / 6;
  17. 		r2 = r * r / 2.0;
  18. 		sq = M_PI * r * r;
  19. 		for(int i = 0; i < n; i++){
  20. 			for(int j = i + 1; j < n; j++){
  21. 				ang = M[j] - M[i];
  22. 				if(ang < M_PI){
  23.                         s = r2 * (ang - sin(ang));
  24. 				}else{
  25. 					ang = 2 * M_PI - ang;
  26. 					s = sq - r2 * (ang - sin(ang));
  27. 				}
  28. 				pts = n - (j - i + 1);
  29. 				res = res - s * pts;
  30. 				pts = n - 2 - pts;
  31. 				res = res - (sq - s) * pts;
  32. 			}
  33. 		}
  34. 		printf("%.f\n", res);
  35. 	}
  36.  
  37. 	return 0;
  38. }
Success #stdin #stdout 0s 15240KB
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https://ideone.com/UxSVI0
language:
C++14 (gcc 8.3)
created:
6 years ago
visibility:
public

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