#include #define FASTIO using namespace std; using ll = long long; using Vi = vector; using Vl = vector; using Pii = pair; using Pll = pair; constexpr int I_INF = numeric_limits::max(); constexpr ll L_INF = numeric_limits::max(); //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% template class ModInt { using i64 = std::int_fast64_t; private: i64 m_value; public: constexpr ModInt(const i64 x = 0) noexcept : m_value(x % Modulus) { if (m_value < 0) m_value += Modulus; } constexpr const i64& value() const noexcept { return m_value; } constexpr ModInt& operator+=(const ModInt rhs) noexcept { m_value += rhs.m_value; if (m_value >= Modulus) { m_value -= Modulus; } return *this; } constexpr ModInt& operator-=(const ModInt rhs) noexcept { if (m_value < rhs.m_value) { m_value += Modulus; } m_value -= rhs.m_value; return *this; } constexpr ModInt& operator*=(const ModInt rhs) noexcept { m_value = m_value * rhs.m_value % Modulus; return *this; } constexpr ModInt& operator/=(ModInt rhs) noexcept { i64 exp = Modulus - 2; while (exp) { if (exp & 1) { *this *= rhs; } rhs *= rhs; exp >>= 1; } return *this; } constexpr ModInt& operator++() noexcept { *this += 1; return *this; } constexpr ModInt operator++(int) noexcept { ModInt res = *this; *this += 1; return res; } constexpr ModInt& operator--() noexcept { *this -= 1; return *this; } constexpr ModInt operator--(int) noexcept { ModInt res = *this; *this -= 1; return res; } constexpr ModInt inv() const noexcept { i64 q = m_value; i64 b = Modulus, u = 1, v = 0; while (b) { i64 t = q / b; q -= t * b; std::swap(q, b); u -= t * v; std::swap(u, v); } u %= Modulus; if (u < 0) u += Modulus; return u; } constexpr ModInt pow(i64 k) const noexcept { ModInt res = 1; ModInt tmp; if (k < 0) { tmp = (*this).inv(); k = -k; } else { tmp = *this; } for (; k > 0; k >>= 1) { if (k & 1) res *= tmp; tmp *= tmp; } return res; } friend constexpr ModInt operator+(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) += rhs; } friend constexpr ModInt operator-(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) -= rhs; } friend constexpr ModInt operator*(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) *= rhs; } friend constexpr ModInt operator/(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) /= rhs; } friend constexpr bool operator<(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.m_value < rhs.m_value; } friend constexpr bool operator>(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.m_value > rhs.m_value; } friend constexpr bool operator<=(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.m_value <= rhs.m_value; } friend constexpr bool operator>=(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.m_value >= rhs.m_value; } friend constexpr bool operator==(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.m_value == rhs.m_value; } friend constexpr bool operator!=(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.m_value != rhs.m_value; } friend std::istream& operator>>(std::istream& is, ModInt& rhs) { i64 a; is >> a; rhs = a; return is; } friend std::ostream& operator<<(std::ostream& os, const ModInt& rhs) { os << rhs.m_value; return os; } }; constexpr ll MOD = 998244353; using Mint = ModInt; Mint dp[6010][6010]; Mint cump[6010]; void solve() { ll N, Q; cin >> N >> Q; Vl A(N); for (ll i = 0; i < N; i++) { cin >> A[i]; } sort(A.begin(), A.end(), greater()); cump[0] = 1; for (ll i = 0; i < N; i++) { cump[i + 1] = cump[i] * A[i]; } dp[0][0] = 1; for (ll i = 0; i < N; i++) { for (ll j = 0; j <= N; j++) { dp[i + 1][j] += dp[i][j] * (A[i] - 1); dp[i + 1][j + 1] += dp[i][j]; } } for (ll i = 0; i < Q; i++) { ll l, r, p; cin >> l >> r >> p; ll ans = 0; for (ll x = l; x <= r; x++) { ll left = -1, right = N; while (right - left > 1) { ll mid = (left + right) >> 1; if (x <= A[mid]) { left = mid; } else { right = mid; } } Mint t = dp[right][p] * cump[N] / cump[right]; ans ^= t.value(); } ans %= MOD; cout << ans << "\n"; } } //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% int main() { #ifdef FASTIO cin.tie(0), cout.tie(0); ios::sync_with_stdio(false); #endif #ifdef FILEINPUT ifstream ifs("./in_out/input.txt"); cin.rdbuf(ifs.rdbuf()); #endif #ifdef FILEOUTPUT ofstream ofs("./in_out/output.txt"); cout.rdbuf(ofs.rdbuf()); #endif solve(); cout << flush; return 0; }