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  1. #include <bits/stdc++.h>
  2. #include <ext/pb_ds/assoc_container.hpp>
  3.  
  4. #pragma GCC optimize("-Ofast")
  5. //#pragma GCC optimize("trapv")
  6. #pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.2,popcnt,abm,mmx,avx2,tune=native")
  7. #pragma GCC optimize("-ffast-math")
  8. #pragma GCC optimize("-funroll-loops")
  9.  
  10. using namespace std;
  11. using namespace __gnu_pbds;
  12.  
  13. #define vi vector<int>
  14. #define vii vector<pair<int, int>>
  15. #define pii pair<int, int>
  16. #define pll pair<ll, ll>
  17. #define loop(_) for (int __ = 0; __ < (_); ++__)
  18. #define forn(i, n) for (int i = 0; i < n; ++i)
  19. #define pb push_back
  20. #define f first
  21. #define s second
  22. #define sz(_) ((int)_.size())
  23. #define all(_) _.begin(), _.end()
  24. #define uni(_) unique(_)
  25. #define lb lower_bound
  26. #define ub upper_bound
  27. #define si set<int>
  28. #define ms multiset<int>
  29. #define qi queue<int>
  30. #define pq prioriry_queue<int>
  31.  
  32. using ll = long long;
  33. using ld = long double;
  34.  
  35. const int N = 1e5 + 7000;
  36. const ll mod = 1e9 + 7;
  37. const ll inf = 2e18;
  38.  
  39. auto ra = [] {char *p = new char ; delete p ; return ll(p) ; };
  40. mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count() * (ra() | 1));
  41. typedef tree<pii, null_type, less<pii>, rb_tree_tag, tree_order_statistics_node_update> os;
  42.  
  43. int n;
  44. vector<double> A(3);
  45. double k;
  46.  
  47. double heron(double a, double b, double c)
  48. {
  49. if (max({a, b, c}) * 2 > a + b + c)
  50. return 0;
  51. double s = (a + b + c) / 2.0;
  52. return sqrt(s * (s - a) * (s - b) * (s - c));
  53. }
  54.  
  55. double solve(double x, double y, double z)
  56. {
  57. double ret = 0;
  58. double l = z, r = min(z + k, x + y);
  59. for (int i = 0; i < 100; ++i)
  60. {
  61. double per = (r - l) / 3.0;
  62. if (heron(x, y, l + per) > heron(x, y, r - per))
  63. r -= per;
  64. else
  65. l += per;
  66. }
  67. return heron(x, y, l);
  68. }
  69.  
  70. int main()
  71. {
  72. ios_base::sync_with_stdio(0);
  73. cin.tie(0);
  74. freopen("sticks.in", "r", stdin);
  75. int t;
  76. cin >> t;
  77.  
  78. while (t--)
  79. {
  80. for (auto &u : A)
  81. cin >> u;
  82. cin >> k;
  83. sort(all(A));
  84. cout << fixed << setprecision(10) << solve(A[1], A[2], A[0]) << "\n";
  85. }
  86.  
  87. return 0;
  88. }
  89.  
Runtime error #stdin #stdout 0.01s 4532KB
stdin
Standard input is empty
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