#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; } int main() { ios::sync_with_stdio(false); cin.tie(0); int q; cin >> q; unordered_map pe; struct S { int new_m, x; vector

new_pe; }; vector st{{1, 0, {}}}; rep(_, q) { int t; cin >> t; if (t == 1) { int m, r; cin >> m >> r; if (st.back().new_m == 0) { st.push_back({0, 0, {}}); continue; } int c = 1; for (const auto& [new_m, x, _] : st) { r = (r - (ll)c * x) % m; c = (ll)c * new_m % m; } // c * x = r (mod m) auto [g, ic] = internal::inv_gcd(c, m); if (r % g) { st.push_back({0, 0, {}}); continue; } int mm = m / g; c /= g; r /= g; int x = (ll)r * ic % mm; if (x < 0) x += mm; vector

new_pe; for (int p = 2; p * p <= m; p++) { int e = 0; while (m % p == 0) m /= p, e++; if (!e) continue; int pre = pe[p]; if (e > pre) { pe[p] = e; new_pe.emplace_back(p, e - pre); } } if (m != 1) { int p = m, e = 1; int pre = pe[p]; if (e > pre) { pe[p] = e; new_pe.emplace_back(p, e - pre); } } int new_m = 1; for (auto [p, e] : new_pe) { rep(_, e) new_m *= p; } st.emplace_back(new_m, x, new_pe); } else if (t == 2) { int k; cin >> k; rep(_, k) { for (auto [p, e] : st.back().new_pe) pe[p] -= e; st.pop_back(); } } else { int m; cin >> m; if (st.back().new_m == 0) { cout << -1 << '\n'; continue; } int c = 1, r = 0; for (const auto& [new_m, x, _] : st) { r = (r + (ll)c * x) % m; c = (ll)c * new_m % m; } cout << r << '\n'; } } }