#define CPP17 #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef CPP17 #include #endif // Yay!! #define endl codeforces // macros for iterator #define ALL(v) std::begin(v), std::end(v) #define ALLR(v) std::rbegin(v), std::rend(v) // alias using ll = std::int64_t; using ull = std::uint64_t; using pii = std::pair; using tii = std::tuple; using pll = std::pair; using tll = std::tuple; template using vec = std::vector; template using vvec = vec>; // variadic min/max template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } // variadic chmin/chmax template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } // multi demension array template struct multi_dim_array { using type = std::array::type, Head>; }; template struct multi_dim_array { using type = std::array; }; template using mdarray = typename multi_dim_array::type; #ifdef CPP17 // fill container template void fill_seq(T &t, F f, Args... args) { if constexpr (std::is_invocable::value) { t = f(args...); } else { for (ssize_t i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); } } #endif // make multi dimension vector template vec make_v(ssize_t sz) { return vec(sz); } template auto make_v(ssize_t hs, Tail&&... ts) { auto v = std::move(make_v(std::forward(ts)...)); return vec(hs, v); } // init namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } namespace math { template constexpr T pow(const T &n, ll k) { T ret = n.mul_id_ele(); T cur = n; while (k) { if (k & 1) ret *= cur; cur *= cur; k /= 2; } return ret; } } namespace math { template struct Modint { constexpr Modint(ll x) noexcept : x((Mod + x % Mod) % Mod) { } constexpr Modint() noexcept : Modint(0) { } constexpr Modint add_id_ele() const noexcept { return Modint(0); } constexpr Modint mul_id_ele() const noexcept { return Modint(1); } constexpr ll& value() noexcept { return x; } constexpr ll value() const noexcept { return x; } constexpr Modint& operator +=(const Modint &oth) noexcept { x += oth.value(); if (Mod <= x) x -= Mod; return *this; } constexpr Modint& operator -=(const Modint &oth) noexcept { x += Mod - oth.value(); if (Mod <= x) x -= Mod; return *this; } constexpr Modint& operator *=(const Modint &oth) noexcept { x *= oth.value(); x %= Mod; return *this; } constexpr Modint& operator /=(const Modint &oth) noexcept { x *= oth.inv().value(); x %= Mod; return *this; } constexpr Modint operator +(const Modint &oth) const noexcept { return Modint(x) += oth; } constexpr Modint operator -(const Modint &oth) const noexcept { return Modint(x) -= oth; } constexpr Modint operator *(const Modint &oth) const noexcept { return Modint(x) *= oth; } constexpr Modint operator /(const Modint &oth) const noexcept { return Modint(x) /= oth; } constexpr Modint operator -() const noexcept { return Modint((x != 0) * (Mod - x)); } template constexpr typename std::enable_if::value, const Modint&>::type operator =(T t) noexcept { (*this) = Modint(std::forward(t)); return *this; } constexpr Modint inv() const noexcept { return ::math::pow(*this, Mod - 2); } constexpr ll mod() const noexcept { return Mod; } private: ll x; }; } namespace utility { template struct Compressor { using size_type = ssize_t; Compressor(vec arg) : v(std::move(arg)) { std::sort(ALL(v)); auto ite = std::unique(ALL(v)); v.erase(ite, v.end()); } const T& operator [](size_type i) const { return v[i]; } size_type get(const T &t) const { return std::distance(v.begin(), std::lower_bound(ALL(v), t)); } size_type size() const { return v.size(); } template vec compress(const vec &v) const { vec ret(v.size()); for (size_type i = 0; i < v.size(); i++) ret[i] = get(v[i]); return ret; } private: vec v; }; }; namespace math { template class Factorial { using mint = Modint; ssize_t maxv; vec factv, ifactv; public: Factorial(ssize_t maxv) : maxv(maxv), factv(maxv + 1), ifactv(maxv + 1) { factv[0] = mint(1); for (ll i = 1; i <= maxv; i++) factv[i] = factv[i - 1] * i; ifactv.back() = factv.back().inv(); for (ll i = maxv - 1; 0 <= i; i--) ifactv[i] = ifactv[i + 1] * (i + 1); } mint fact(ll n) const { return factv[n]; } mint ifact(ll n) const { return ifactv[n]; } mint perm(ll n, ll k) const { return factv[n] * ifactv[n - k]; } mint comb(ll n, ll k) const { return perm(n, k) * ifactv[k]; } }; } int main() { constexpr ll mod = 998244353; using mint = math::Modint; math::Factorial fa(1e5); ll n, q; std::cin >> n >> q; vec av(n); for (auto &&e : av) std::cin >> e; std::sort(ALLR(av)); vec ans(q, 0); vec qv(q); vec vn = av; for (auto &&e : qv) { ll l, r, p; std::cin >> l >> r >> p; e = tll(l, r, p); vn.push_back(l); vn.push_back(r); vn.push_back(p); } utility::Compressor cmp(vn); vvec in(vn.size()), out(vn.size()); for (ll i = 0; i < q; i++) { auto [ l, r, p ] = qv[i]; in[cmp.get(r)].push_back(i); out[cmp.get(l)].push_back(i); } vec dp(n + 1, 0); dp[0] = 1; mint oth = 1; for (ll e : av) oth *= e; ll idx = 0; std::set qset; for (ll i = cmp.size() - 1; 0 <= i; i--) { ll e = cmp[i]; for (ll qi : in[i]) qset.insert(qi); for (; idx < n && e == av[idx]; idx++) { for (ll j = n; 0 <= j; j--) { dp[j] *= e - 1; if (j) dp[j] += dp[j - 1]; } oth /= e; } auto update = [&](ll qi) { ll p = std::get<2>(qv[qi]); ans[qi] ^= (oth * dp[p]).value(); }; for (ll qi : out[i]) { update(qi); qset.erase(qi); } if (i) { ll diff = cmp[i] - cmp[i - 1]; if (diff & 1) for (ll qi : qset) update(qi); } } for (ll e : ans) std::cout << mint(e).value() << "\n"; return 0; }