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// Hacker Cup 2017
// Round 2
// Fighting all the Zombies
// Jacob Plachta
#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); }
const int INF = (int)1e9;
const LD EPS = 1e-9;
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);
}
#define LIM 2100000
#define MOD 1000000007
int sz,tree[LIM][2][2];
int V1[LIM],V2[LIM],V3[LIM];
void Add(int &a,int b)
{
a+=b;
if (a>=MOD)
a-=MOD;
}
void Calc(int i)
{
if (i>=sz)
{
tree[i][0][0]=V1[i-sz];
tree[i][0][1]=(LL)V2[i-sz]*V3[i-sz]%MOD;
tree[i][1][0]=1;
tree[i][1][1]=0;
return;
}
int j=i<<1,k=j+1,a,b,c;
Fill(tree[i],0);
Fox(a,2)
Fox(b,2)
Fox(c,2)
Add(tree[i][a][b],(LL)tree[j][a][c]*tree[k][c][b]%MOD);
}
int main()
{
int T,t;
int N,M,Z;
int W,Aw,Bw;
int D,Ad,Bd;
int S,As,Bs;
int i,tot;
Read(T);
Fox1(t,T)
{
Read(N),Read(M);
Read(W),Read(Aw),Read(Bw);
Read(D),Read(Ad),Read(Bd);
Read(S),Read(As),Read(Bs);
for(sz=1;sz<N;sz<<=1);
Fox(i,sz)
V1[i]=1;
Fill(V2,0);
Fill(V3,0);
FoxR1(i,(sz<<1)-1)
Calc(i);
tot=0;
while (M--)
{
Z=max(1,min(N,W+D-1));
if (W==Z)
Add(V1[W-1],S);
else
if (W<Z)
Add(V2[W-1],S);
else
Add(V3[Z-1],S);
i=min(W-1,Z-1)+sz;
while (i)
Calc(i),i>>=1;
Add(tot,tree[1][0][0]);
W=((LL)Aw*W+Bw)%N+1;
D=((LL)Ad*D+Bd)%3;
S=((LL)As*S+Bs)%INF+1;
}
printf("Case #%d: %d\n",t,tot);
}
return(0);
} |