#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #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 int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,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;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';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){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(int)(a&1),a>>=1;}return res;} template T square(T a){return a * a;} #include using mint = atcoder::modint; using F = array, 2>; F op(F l, F r){ F res; rep(i, 0, 2) rep(j, 0, 2) rep(k, 0, 2){ res[i][k] += l[i][j] * r[j][k]; } return res; } F my_pow(F tmp, ll t){ F res; rep(i, 0, 2) res[i][i] = 1; while (t){ if (t & 1){ res = op(res, tmp); } t /= 2; tmp = op(tmp, tmp); } return res; } void solve(); // DEAR MYSTERIES / TOMOO int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; cin >> t; rep(i, 0, t) solve(); } void solve(){ ll N, m, l; int B; cin >> N >> m >> l >> B; mint::set_mod(B); mint M = m, L = l; F tmp; tmp[0][0] = L + M; tmp[1][1] = L + M; tmp[0][1] = L * 2; tmp[1][0] = M * 2; tmp = my_pow(tmp, N / 2); if (N % 2 == 0){ cout << tmp[0][0].val() << "\n"; } else{ cout << (tmp[0][0] + tmp[1][0]).val() << "\n"; } } /* * N が偶数のとき * ans * 2 = (sqrt(L) + sqrt(M))^N + (sqrt(L) - sqrt(M))^N * そもそも、sqrt が定義されていないので無理そう * a^k + b^k = (a^{k - 1} + b^{k - 1}) * (a + b) - (a^{k - 2} + b^{k - 2}) * ab * これで解決 * B 素数じゃないのヤバすぎ? * と思いきや、B = 2 * B として仕舞えばいい * * ダメでー * a + b = sqrt(L) * 2 だからダメ * f0[N] = ans[N] * f1[N] = binom(N, 2 * n + 1) M^{n}L^{N / 2 - n} * とする * f0[N + 2] = f0[N] * (L + M) + f1[N] * (2 * M) * f1[N + 2] = f0[N] * (2 * L) + f1[N] * (L + M) * */