#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+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} // https://259-momone.hatenablog.com/entry/2025/04/28/232456 struct F{ ll mx = 0; ll sum = 0; }; F op(F l, F r){ chmax(l.mx, r.mx + l.sum); l.sum += r.sum; return l; } F e(){ return F{}; } F monoid_pow(F l, ll v){ F res = e(); while (v){ if (v & 1) res = op(res, l); l = op(l, l); v /= 2; } return res; } F floor_prod(ll n, ll m, ll a, ll b, F x, F y) { // x *= monoid_pow(y, a / m); x = op(x, monoid_pow(y, a / m)); a %= m; const auto prefix_prod = monoid_pow(y, b / m); b %= m; const auto y_max{(a) * n + b}; if (y_max < m) return op(prefix_prod , monoid_pow(x, n)); return op(op(prefix_prod , floor_prod((y_max / m) - 1, a, m, m + a - b - 1, y, x)), op(y, monoid_pow(x, (y_max % m) / a))); } void solve(); // POP'N ROLL MUSIC / 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, A, B, C, D; cin >> N >> M >> A >> B >> C >> D; if (A >= 0 && B >= 0){ cout << A * (N - 1) + B * ((C * (N - 1) + D) / M) << "\n"; } else if (A <= 0 && B <= 0){ cout << "0\n"; } else if (A > 0 && B < 0){ auto ans = floor_prod(N, M, C, D, {A, A}, {0ll, B}); cout << ans.mx - A << "\n"; } else{ auto ans = floor_prod(N - 1, M, C, D, {0ll, A}, {B, B}); cout << ans.mx << "\n"; } }