// Platform Parkour // 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-9; 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 200000 int N; int H[LIM],U[LIM],D[LIM]; bool Check(LD m) { int i; LD a=H[0]-m; LD b=H[0]+m; Fox(i,N-1) { a=max(a-D[i],H[i+1]-m); b=min(b+U[i],H[i+1]+m); if (bb) { swap(a,b); swap(u,d); } FoxI(j,a,b-1) { Min(U[j],u); Min(D[j],d); } } // binary search r1=0,r2=1e6; while (r2>r1+EPS) { m=(r1+r2)/2; if (Check(m)) r2=m; else r1=m; } // output printf("Case #%d: %.8lf\n",t,(double)r2); } return(0); }