#include #include #include #include #include #define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++) using namespace std; typedef long long int ll; typedef vector VL; const ll mod = 1e9 + 7; template class SegTree { int n; std::vector dat; BiOp op; I e; public: SegTree(BiOp op, I e) : op(op), e(e), n(1 << 17) { dat.resize(2 * n); for (int i = 0; i < 2 * n - 1; i++) { dat[i] = e; } } void update(int k, I v) { k += n - 1; dat[k] = v; while (k > 0) { k = (k - 1) / 2; dat[k] = op(dat[2 * k + 1], dat[2 * k + 2]); } } void update_all(const I *vals, int len) { for (int k = 0; k < std::min(n, len); ++k) { dat[k + n - 1] = vals[k]; } for (int k = std::min(n, len); k < n; ++k) { dat[k + n - 1] = e; } for (int b = n / 2; b >= 1; b /= 2) { for (int k = 0; k < b; ++k) { dat[k + b - 1] = op(dat[k * 2 + b * 2 - 1], dat[k * 2 + b * 2]); } } } I querySub(int a, int b, int k, int l, int r) const { if (r <= a || b <= l) return e; if (a <= l && r <= b) return dat[k]; I vl = querySub(a, b, 2 * k + 1, l, (l + r) / 2); I vr = querySub(a, b, 2 * k + 2, (l + r) / 2, r); return op(vl, vr); } I query(int a, int b) const { return querySub(a, b + 1, 0, 0, n); } }; typedef vector VVL; VVL add(const VVL &a, const VVL &b) { int n = a.size(); int m = a[0].size(); VVL ret(n, VL(m, 0)); REP(i, 0, n) { REP(j, 0, m) { ret[i][j] = (a[i][j] + b[i][j]) % mod; } } return ret; } VVL mul(const VVL &a, const VVL &b) { int n = a.size(); int m = b.size(); int l = b[0].size(); VVL ret(n, VL(l, 0)); REP(i, 0, n) { REP(j, 0, m) { REP(k, 0, l) { ret[i][k] += a[i][j] * b[j][k]; ret[i][k] %= mod; } } } return ret; } struct dat{VVL a, b, s;}; dat elem_mul(const dat &abs1, const dat &abs2) { VVL a = mul(abs2.a, abs1.a); VVL b = mul(abs1.b, abs2.b); VVL s = add(abs1.s, mul(mul(abs1.b, abs2.s), abs1.a)); return dat{a, b, s}; } VVL mat_s(int i) { VVL s(2, VL(3, 0)); REP(k,0,6)s[k/3][k%3]=6*i+k; return s; } int main(void){ int n, q; cin >> n; VVL a(3, {0}), b(2, {0}); REP(i, 0, 3) { cin >> a[i][0]; } REP(i, 0, 2) { cin >> b[i][0]; } VVL u3(3), u2(2); REP(i, 0, 3) { VL t(3); t[i] = 1; u3[i] = t; } REP(i, 0, 2) { VL t(2); t[i] = 1; u2[i] = t; } SegTree st(elem_mul, dat{u3, u2, VVL(2, VL(3))}); { vector ary(n + 1); REP(i, 0, n + 1) { ary[i] = dat{u3, u2, mat_s(i)}; } st.update_all(&ary[0], n + 1); } cin >> q; REP(z, 0, q) { string qty; int i; cin >> qty >> i; if (qty == "a") { REP(k, 0, 3) { REP(j, 0, 3) { cin >> u3[k][j]; } } dat cur = st.query(i, i); st.update(i, dat{u3, cur.b, mat_s(i)}); } if (qty == "b") { REP(k, 0, 2) { REP(j, 0, 2) { cin >> u2[k][j]; } } dat cur = st.query(i, i); st.update(i, dat{cur.a, u2, mat_s(i)}); } if (qty == "ga") { VVL res = mul(st.query(0, i - 1).a, a); cout << res[0][0] << " " << res[1][0] << " " << res[2][0] << "\n"; } if (qty == "gb") { dat tmp = st.query(i + 1, n); VVL res = add(mul(tmp.b, b), mul(tmp.s, mul(st.query(0, i).a, a))); cout << res[0][0] << " " << res[1][0] << "\n"; } } }