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  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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https://ideone.com/qt7n7b
HackerEarth February Clash, Light it up
language:
C++14 (gcc 8.3)
created:
8 years ago
visibility:
secret

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