#include #include #include #include #include #include #include #include using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(int i=0; i=0; i--) const i64 INF = 1001001001001001001; const char* yn(bool x){ return x ? "Yes" : "No"; } template void chmin(A& l, const A& r){ if(r < l) l = r; } template void chmax(A& l, const A& r){ if(l < r) l = r; } template using nega_queue = std::priority_queue,std::greater>; using namespace std; void testcase(){ i64 N, A, B, C; cin >> N >> A >> B >> C; i64 K = 0; { i64 f = 1; while(INF / B >= f){ K++; f *= B; } } vector fact(N); fact[0] = 1; auto xmod = [&](i64 a){ if(a >= N) return (a-N) % N + N; return a; }; for(i64 i=1; i> que; vector dist(N*2, INF); i64 ans = A * (N-1); auto upd = [&](i64 v, i64 d){ if(dist[v] > d){ dist[v] = d; que.push({ d, v }); } }; upd(1, 0); while(que.size()){ auto [d, v] = que.top(); que.pop(); if(dist[v] != d) continue; if(v % N == 0) chmin(ans, d); { if(v % N == N-1){ chmin(ans, d + A); } else { upd(v+1, d + A); } } if(v < N){ if(fact[v] % N == 0){ chmin(ans, d + C); } else { upd(fact[v], d + C); } } else { chmin(ans, d + C); } { i64 w = v, dd = B; for(i64 k=2; k<=K; k++){ dd *= B; w = xmod(w*v); upd(w, d + dd); } } } cout << ans << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); #ifdef NACHIA int T; cin >> T; for(int t=0; t