// Platform Parkour // Solution by Jacob Plachta #define DEBUG 0 #include <algorithm> #include <functional> #include <numeric> #include <iostream> #include <iomanip> #include <cstdio> #include <cmath> #include <complex> #include <cstdlib> #include <ctime> #include <cstring> #include <cassert> #include <string> #include <vector> #include <list> #include <map> #include <set> #include <deque> #include <queue> #include <stack> #include <bitset> #include <sstream> using namespace std; #define LL long long #define LD long double #define PR pair<int,int> #define Fox(i,n) for (i=0; i<n; i++) #define Fox1(i,n) for (i=1; i<=n; i++) #define FoxI(i,a,b) for (i=a; i<=b; i++) #define FoxR(i,n) for (i=(n)-1; 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<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-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 (b<a) return(0); } return(1); } int main() { if (DEBUG) freopen("in.txt","r",stdin); // vars int T,t; int M,W,X,Y,Z; int i,j,a,b,u,d; LD r1,r2,m; // testcase loop Read(T); Fox1(t,T) { // init Fill(U,60); Fill(D,60); // input Read(N),Read(M); Read(H[0]),Read(H[1]),Read(W),Read(X),Read(Y),Read(Z); FoxI(i,2,N-1) H[i]=((LL)W*H[i-2]+(LL)X*H[i-1]+Y)%Z; Fox(i,M) { Read(a),Read(b),Read(u),Read(d); a--,b--; if (a>b) { 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); }