#include<bits/stdc++.h> using namespace std; #define FOR(i,a,b) for(int i = (a); i <= (b); ++i) #define FORD(i,a,b) for(int i = (a); i >= (b); --i) #define RI(i,n) FOR(i,1,(n)) #define REP(i,n) FOR(i,0,(n)-1) #define mini(a,b) a=min(a,b) #define maxi(a,b) a=max(a,b) #define mp make_pair #define pb push_back #define st first #define nd second #define sz(w) (int) w.size() typedef vector<int> vi; typedef long long ll; typedef long double ld; typedef pair<int,int> pii; const int inf = 1e9 + 5; const int nax = 1e6 + 5; struct P { int x, y; P operator - (const P & b) const { return P{x - b.x, y - b.y}; } int operator * (const P & b) const { return x * b.y - y * b.x; } }; #define left left_compile #define right right_compile int left[nax], right[nax], h[nax]; bool left_vis[nax], right_vis[nax]; bool see(int i, int j) { // does i see j? assert(i != j); P a, c; if(i < j) { a = P{right[i], h[i]}; c = P{left[j], 0}; } else { a = P{right[j], 0}; c = P{left[i], h[i]}; } FOR(k, min(i,j)+1, max(i,j)-1) REP(rep, 2) { P b = P{rep ? right[k] : left[k], h[k]}; if((b - a) * (c - a) < 0) return false; } return true; } int solve(int from, int to, int nnn) { // be careful with nnn if(from > to) return 0; pii max_h = mp(-1, -1); FOR(i, from, to) maxi(max_h, mp(h[i], i)); int mid = max_h.nd; int ans = 0; if(mid - 1 >= 0 && !right_vis[mid-1]) { ++ans; left_vis[mid] = true; FOR(i, 0, mid - 1) if(see(mid, i)) right_vis[i] = true; } if(mid + 1 <= nnn-1 && !left_vis[mid+1]) { ++ans; right_vis[mid] = true; FOR(i, mid + 1, nnn - 1) if(see(mid, i)) left_vis[i] = true; } return ans + solve(from, mid - 1, nnn) + solve(mid + 1, to, nnn); } void te() { int n; scanf("%d", &n); vector<vi> in; REP(_, n) { int a, b, c; scanf("%d%d%d", &a, &b, &c); in.pb(vi{a,b,c}); } sort(in.begin(), in.end()); REP(i, n) { vi & x = in[i]; left[i] = x[0]; right[i] = x[1]; h[i] = x[2]; } // REP(i, n) printf("%d %d %d\n", left[i], right[i], h[i]); int ans = solve(0, n - 1, n); REP(i, n) { ans += !left_vis[i]; ans += !right_vis[i]; left_vis[i] = right_vis[i] = false; } printf("%d\n", ans); } int main() { int z; scanf("%d", &z); while(z--) te(); return 0; }
Standard input is empty
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