// Personal Space // Solution by Jacob Plachta #define DEBUG 0 #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define LL long long #define LD long double #define PR pair #define Fox(i,n) for (i=0; i=0; i--) #define FoxR1(i,n) for (i=n; i>0; i--) #define FoxRI(i,a,b) for (i=b; i>=a; i--) #define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) #define Min(a,b) a=min(a,b) #define Max(a,b) a=max(a,b) #define Sz(s) int((s).size()) #define All(s) (s).begin(),(s).end() #define Fill(s,v) memset(s,v,sizeof(s)) #define pb push_back #define mp make_pair #define x first #define y second template T Abs(T x) { return(x<0 ? -x : x); } template T Sqr(T x) { return(x*x); } string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } const int INF = (int)1e9; const LD EPS = 1e-12; const LD PI = acos(-1.0); #if DEBUG #define GETCHAR getchar #else #define GETCHAR getchar_unlocked #endif bool Read(int &x) { char c,r=0,n=0; x=0; for(;;) { c=GETCHAR(); if ((c<0) && (!r)) return(0); if ((c=='-') && (!r)) n=1; else if ((c>='0') && (c<='9')) x=x*10+c-'0',r=1; else if (r) break; } if (n) x=-x; return(1); } #define LIM 8000001 int K1,K2; pair E1[LIM]; pair E2[LIM]; int dyn[LIM]; set S1; set S2; set::iterator I1; set::iterator I2,J2; void AddRect(int x1,int y1,int x2,int y2) { if ((x2<0) || (y1>INF)) return; int i=K2+1; E2[K2++]=mp(mp(y1,1),mp(x1,i)); E2[K2++]=mp(mp(y2,0),mp(x2,i)); } void AddRects(int x) { int i; int X[7]; I1=S1.lower_bound(x); Fox(i,3) I1--; Fox(i,7) X[i]=*I1,I1++; Fox(i,4) AddRect(X[i],X[i+1],X[i+2],X[i+3]); } int Query(int x) { I2=S2.lower_bound(mp(x+1,0)); I2--; return(I2->y); } void Update(int x,int v) { I2=S2.lower_bound(mp(x+1,0)); I2--; if (v<=I2->y) return; if (I2->x=I2->y)) { J2=I2,I2++; S2.erase(J2); } S2.insert(mp(x,v)); } int main() { if (DEBUG) freopen("in.txt","r",stdin); // vars int T,t; int N; int i,j,k,x,a,b,ans; // testcase loop Read(T); Fox1(t,T) { // input Read(N); K1=0; Fox(i,N) { Read(x),Read(a),Read(b); E1[K1++]=mp(mp(a,x),1); E1[K1++]=mp(mp(b+1,x),-1); } // bottom-up line sweep to generate all possible fish placement "rectangles" sort(E1,E1+K1); S1.clear(); Fox1(i,4) S1.insert(-i),S1.insert(INF+i); K2=0; Fox(i,K1) { j=i; while ((j+10) S1.insert(E1[k].x.y); else S1.erase(E1[k].x.y); FoxI(k,i,j) AddRects(E1[k].x.y); i=j; } // bottom-up line sweep DP on rectangles sort(E2,E2+K2); S2.clear(); S2.insert(mp(-INF,0)); ans=0; Fox(i,K2) { x=E2[i].y.x,j=E2[i].y.y; if (E2[i].x.y) Max(ans,dyn[j]=Query(x)+1); else Update(x,dyn[j]); } // output printf("Case #%d: %d\n",t,ans); } return(0); }