#include #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; const int mod=998244353; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} template void vec_out(vector &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template using square_matrix=std::vector>; template square_matrix mul_matrix(square_matrix l,square_matrix r){ int n=l.size(); assert((int)l[0].size()==n&&(int)r.size()==n&&(int)r[0].size()==n); square_matrix val(n,std::vector(n,add_e())); for(int i=0;i square_matrix pow_matrix(square_matrix l,long long times){ int n=l.size(); square_matrix val(n,std::vector(n,add_e())); for(int i=0;i(val,l); } l=mul_matrix(l,l); times>>=1; } return val; } ll N,B; using mat_F=ll; mat_F add_op(mat_F a,mat_F b){ return (a+b)%B; } mat_F add_e(){ return 0; } mat_F mul_op(mat_F a,mat_F b){ return (a*b)%B; } mat_F mul_e(){ return 1; } #define calc mat_F,add_op,add_e,mul_op,mul_e ll jyo(ll x,ll y,ll z){ ll H=y; //ここから ll a=1,b=(x%z+z)%z,c=1; while(H>0){ a*=2; if(H%a!=0){ H-=a/2; c*=b; c%=z; } b*=b; b%=z; } //ここまで return c; } void solve(); // oddloop int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; cin>>t; rep(i,0,t) solve(); } void solve(){ cin>>N>>B; auto f=[&](auto self,ll n,ll a)->ll{ ll res=0; if(n==1) return 1; if(n&1){ res=1+a*self(self,n-1,a)%B; return res; } res=self(self,n/2,a*a%B); res=res*(1+a)%B; return res; }; //ab=S,a+b=T //sum_{i=1,2,...n} a^i+b^i auto g=[&](ll S,ll T,ll n)->ll{ if(n==0) return 0; if(n==1) return T; vector> base={ {T,-S,0}, {1,0,0}, {1,0,1} }; base=pow_matrix(base,n); ll res=base[2][0]*T+base[2][1]*2ll; return res%B; }; auto h=[&](auto self,ll s,ll t,ll n)->ll{ if(n==1) return s; if(n%2==0){ ll res=g(s,t,n/2)-g(s,t,n/2-1); res++; res=(res+jyo(s,n/2,B))%B; res=(res*self(self,s,t,n/2))%B; return res; } ll res=self(self,s,t,n-1); res++; res=(res+g(s,t,n-1))%B; res=(res*s)%B; return res; }; vector A(2,vector(2)); rep(i,0,2) rep(j,0,2) cin>>A[i][j]; ll tmp=A[0][0]*A[1][1]-A[0][1]*A[1][0]; if(tmp==0){ cout<<"0\n"; } else{ ll s=tmp; ll t=A[0][0]+A[1][1]; s%=B,t%=B; ll ans=h(h,s,t,N); if(N%2==1&&tmp<0) ans*=-1; ans=(ans%B+B)%B; cout<<(ans%B+B)%B<<"\n"; } }