fork(1) download
  1. #include<bits/stdc++.h>
  2. using namespace std;
  3. #define FOR(i,a,b) for(int i = (a); i <= (b); ++i)
  4. #define FORD(i,a,b) for(int i = (a); i >= (b); --i)
  5. #define RI(i,n) FOR(i,1,(n))
  6. #define REP(i,n) FOR(i,0,(n)-1)
  7. #define mini(a,b) a=min(a,b)
  8. #define maxi(a,b) a=max(a,b)
  9. #define mp make_pair
  10. #define pb push_back
  11. #define st first
  12. #define nd second
  13. #define sz(w) (int) w.size()
  14. typedef vector<int> vi;
  15. typedef long long ll;
  16. typedef long double ld;
  17. typedef pair<int,int> pii;
  18. const int inf = 1e9 + 5;
  19. const int nax = 1e6 + 5;
  20.  
  21. struct P {
  22. int x, y;
  23. P operator - (const P & b) const {
  24. return P{x - b.x, y - b.y};
  25. }
  26. int operator * (const P & b) const {
  27. return x * b.y - y * b.x;
  28. }
  29. };
  30.  
  31. #define left left_compile
  32. #define right right_compile
  33. int left[nax], right[nax], h[nax];
  34. bool left_vis[nax], right_vis[nax];
  35.  
  36. bool see(int i, int j) { // does i see j?
  37. assert(i != j);
  38. P a, c;
  39. if(i < j) {
  40. a = P{right[i], h[i]};
  41. c = P{left[j], 0};
  42. }
  43. else {
  44. a = P{right[j], 0};
  45. c = P{left[i], h[i]};
  46. }
  47. FOR(k, min(i,j)+1, max(i,j)-1) REP(rep, 2) {
  48. P b = P{rep ? right[k] : left[k], h[k]};
  49. if((b - a) * (c - a) < 0)
  50. return false;
  51. }
  52. return true;
  53. }
  54.  
  55. int solve(int from, int to, int nnn) { // be careful with nnn
  56. if(from > to) return 0;
  57. pii max_h = mp(-1, -1);
  58. FOR(i, from, to) maxi(max_h, mp(h[i], i));
  59. int mid = max_h.nd;
  60. int ans = 0;
  61. if(mid - 1 >= 0 && !right_vis[mid-1]) {
  62. ++ans;
  63. left_vis[mid] = true;
  64. FOR(i, 0, mid - 1)
  65. if(see(mid, i))
  66. right_vis[i] = true;
  67. }
  68. if(mid + 1 <= nnn-1 && !left_vis[mid+1]) {
  69. ++ans;
  70. right_vis[mid] = true;
  71. FOR(i, mid + 1, nnn - 1)
  72. if(see(mid, i))
  73. left_vis[i] = true;
  74. }
  75. return ans + solve(from, mid - 1, nnn) + solve(mid + 1, to, nnn);
  76. }
  77.  
  78. void te() {
  79. int n;
  80. scanf("%d", &n);
  81. vector<vi> in;
  82. REP(_, n) {
  83. int a, b, c;
  84. scanf("%d%d%d", &a, &b, &c);
  85. in.pb(vi{a,b,c});
  86. }
  87. sort(in.begin(), in.end());
  88. REP(i, n) {
  89. vi & x = in[i];
  90. left[i] = x[0];
  91. right[i] = x[1];
  92. h[i] = x[2];
  93. }
  94. // REP(i, n) printf("%d %d %d\n", left[i], right[i], h[i]);
  95. int ans = solve(0, n - 1, n);
  96. REP(i, n) {
  97. ans += !left_vis[i];
  98. ans += !right_vis[i];
  99. left_vis[i] = right_vis[i] = false;
  100. }
  101. printf("%d\n", ans);
  102. }
  103.  
  104. int main() {
  105. int z;
  106. scanf("%d", &z);
  107. while(z--) te();
  108. return 0;
  109. }
Runtime error #stdin #stdout 0.02s 17096KB
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