#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using Int = long long; template ostream &operator<<(ostream &os, const pair &a) { return os << "(" << a.first << ", " << a.second << ")"; }; template ostream &operator<<(ostream &os, const vector &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; } template void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; } template bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; } template bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; } //////////////////////////////////////////////////////////////////////////////// template struct ModInt { static constexpr unsigned M = M_; unsigned x; constexpr ModInt() : x(0U) {} constexpr ModInt(unsigned x_) : x(x_ % M) {} constexpr ModInt(unsigned long long x_) : x(x_ % M) {} constexpr ModInt(int x_) : x(((x_ %= static_cast(M)) < 0) ? (x_ + static_cast(M)) : x_) {} constexpr ModInt(long long x_) : x(((x_ %= static_cast(M)) < 0) ? (x_ + static_cast(M)) : x_) {} ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; } ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; } ModInt &operator*=(const ModInt &a) { x = (static_cast(x) * a.x) % M; return *this; } ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); } ModInt pow(long long e) const { if (e < 0) return inv().pow(-e); ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b; } ModInt inv() const { unsigned a = M, b = x; int y = 0, z = 1; for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast(q) * z; y = z; z = w; } assert(a == 1U); return ModInt(y); } ModInt operator+() const { return *this; } ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; } ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); } ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); } ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); } ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); } template friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); } template friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); } template friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); } template friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); } explicit operator bool() const { return x; } bool operator==(const ModInt &a) const { return (x == a.x); } bool operator!=(const ModInt &a) const { return (x != a.x); } friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; } }; //////////////////////////////////////////////////////////////////////////////// constexpr unsigned MO = 998244353; using Mint = ModInt; constexpr int MAX_E = 18; int E; char S[(1 << MAX_E) + 10]; vector as; Mint base[(1 << MAX_E) + 10]; Mint f[MAX_E + 1][(1 << MAX_E) + 10]; void build() { for (int i = 0; i < 1 << E; ++i) { f[0][i] = as[i]; } for (int e = 0; e < E; ++e) { for (int i = 0; i < 1 << E; ++i) { f[e + 1][i] = f[e][i] + base[1 << e] * f[e][i ^ 1 << e]; } } } int L, R, X; pair dfs(int e, int a, int b) { if (b <= L || R <= a) return make_pair(0, 0); if (L <= a && b <= R) return make_pair(f[e][X ^ a], 1 << e); const int mid = (a + b) >> 1; const auto resL = dfs(e - 1, a, mid); const auto resR = dfs(e - 1, mid, b); return make_pair(resL.first + base[resL.second] * resR.first, resL.second + resR.second); } int main() { for (; ~scanf("%d", &E); ) { scanf("%s", S); base[0] = 1; base[1] = Mint(2) / Mint(11); for (int i = 2; i <= 1 << E; ++i) { base[i] = base[i - 1] * base[1]; } as.resize(1 << E); for (int i = 0; i < 1 << E; ++i) { as[i] = S[i] - '0'; } build(); const int K = max((int)sqrt(E << E), 1); int psLen = 0; vector> ps(K); int Q; scanf("%d", &Q); for (; Q--; ) { int typ; scanf("%d", &typ); if (typ == 1) { int x, y; scanf("%d%d", &x, &y); ps[psLen++] = make_pair(x, y - as[x]); as[x] = y; if (psLen == K) { build(); psLen = 0; } } else { scanf("%d%d%d", &L, &R, &X); ++R; Mint ans = dfs(E, 0, 1 << E).first; for (int j = 0; j < psLen; ++j) { const int pos = ps[j].first ^ X; if (L <= pos && pos < R) { ans += base[pos - L] * ps[j].second; } } ans *= Mint(11).pow(R - L - 1); printf("%u\n", ans.x); } } } return 0; }