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3.57 kB
| // Personal Space | |
| // Solution by Jacob Plachta | |
| using namespace std; | |
| template<typename T> T Abs(T x) { return(x<0 ? -x : x); } | |
| template<typename T> 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); | |
| 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); | |
| } | |
| int K1,K2; | |
| pair<PR,int> E1[LIM]; | |
| pair<PR,PR> E2[LIM]; | |
| int dyn[LIM]; | |
| set<int> S1; | |
| set<PR> S2; | |
| set<int>::iterator I1; | |
| set<PR>::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<x) | |
| I2++; | |
| while ((I2!=S2.end()) && (v>=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+1<K1) && (E1[j+1].x.x==E1[i].x.x)) | |
| j++; | |
| FoxI(k,i,j) | |
| if (E1[k].y>0) | |
| 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); | |
| } |