#include using i32 = std::int32_t; using u32 = std::uint32_t; using i64 = std::int64_t; using u64 = std::uint64_t; using i128 = __int128_t; using u128 = __uint128_t; using isize = std::ptrdiff_t; using usize = std::size_t; class rep { struct Iter { usize itr; constexpr Iter(const usize pos) noexcept : itr(pos) {} constexpr void operator++() noexcept { ++itr; } constexpr bool operator!=(const Iter& other) const noexcept { return itr != other.itr; } constexpr usize operator*() const noexcept { return itr; } }; const Iter first, last; public: explicit constexpr rep(const usize first, const usize last) noexcept : first(first), last(std::max(first, last)) {} constexpr Iter begin() const noexcept { return first; } constexpr Iter end() const noexcept { return last; } }; template constexpr T totient(T x) { T ret = x; for (T i = 2; i * i <= x; ++i) { if (x % i == 0) { ret /= i; ret *= i - 1; while (x % i == 0) x /= i; } } if (x > 1) { ret /= x; ret *= x - 1; } return ret; } template constexpr T rem_euclid(T value, const T& mod) { return (value %= mod) >= 0 ? value : value + mod; } template * = nullptr> class StaticModint { using Mint = StaticModint; static inline constexpr u32 PHI = totient(MOD); u32 v; public: static constexpr u32 mod() noexcept { return MOD; } template and std::is_integral_v>* = nullptr> static constexpr T normalize(const T x) noexcept { return rem_euclid>(x, MOD); } template and std::is_integral_v>* = nullptr> static constexpr T normalize(const T x) noexcept { return x % MOD; } constexpr StaticModint() noexcept : v(0) {} template constexpr StaticModint(const T x) noexcept : v(normalize(x)) {} template static constexpr Mint raw(const T x) noexcept { Mint ret; ret.v = x; return ret; } constexpr u32 get() const noexcept { return v; } constexpr Mint neg() const noexcept { return raw(v == 0 ? 0 : MOD - v); } constexpr Mint inv() const noexcept { return pow(PHI - 1); } constexpr Mint pow(u64 exp) const noexcept { Mint ret(1), mult(*this); for (; exp > 0; exp >>= 1) { if (exp & 1) ret *= mult; mult *= mult; } return ret; } constexpr Mint operator-() const noexcept { return neg(); } constexpr Mint operator~() const noexcept { return inv(); } constexpr Mint operator+(const Mint& rhs) const noexcept { return Mint(*this) += rhs; } constexpr Mint& operator+=(const Mint& rhs) noexcept { if ((v += rhs.v) >= MOD) v -= MOD; return *this; } constexpr Mint operator-(const Mint& rhs) const noexcept { return Mint(*this) -= rhs; } constexpr Mint& operator-=(const Mint& rhs) noexcept { if (v < rhs.v) v += MOD; v -= rhs.v; return *this; } constexpr Mint operator*(const Mint& rhs) const noexcept { return Mint(*this) *= rhs; } constexpr Mint& operator*=(const Mint& rhs) noexcept { v = (u64)v * rhs.v % MOD; return *this; } constexpr Mint operator/(const Mint& rhs) const noexcept { return Mint(*this) /= rhs; } constexpr Mint& operator/=(const Mint& rhs) noexcept { return *this *= rhs.inv(); } constexpr bool operator==(const Mint& rhs) const noexcept { return v == rhs.v; } constexpr bool operator!=(const Mint& rhs) const noexcept { return v != rhs.v; } friend std::ostream& operator<<(std::ostream& stream, const Mint& rhs) { return stream << rhs.v; } }; using Modint1000000007 = StaticModint<1000000007>; using Modint998244353 = StaticModint<998244353>; template using Vec = std::vector; using Fp = Modint998244353; void main_() { usize N, K; std::cin >> N >> K; std::map cnt; for (const auto i : rep(0, N)) { u32 x; std::cin >> x; cnt[x] += 1; } Vec dp(1, Fp(1)); usize small = 0; for (const auto& [x, c] : cnt) { Vec> calc(small + 1, Vec(small * c + 1)); calc[0][0] = Fp(1); for (const auto step : rep(0, c)) { Vec> next(small + 1, Vec(small * c + 1)); for (const auto i : rep(0, small + 1)) { for (const auto j : rep(0, small * c + 1)) { if (calc[i][j] == Fp(0)) { continue; } for (const auto k : rep(i, small + 1)) { next[k][j + k] += calc[i][j]; } } } calc = std::move(next); } Vec sum(small * c + 1); for (const auto i : rep(0, small + 1)) { for (const auto j : rep(0, small * c + 1)) { sum[j] += calc[i][j]; } } Vec next(dp.size() + small * c); for (const auto i : rep(0, dp.size())) { for (const auto j : rep(0, small * c + 1)) { next[i + j] += dp[i] * sum[j]; } } dp = std::move(next); small += c; } dp.resize(N * (N - 1) / 2 + 1); std::cout << dp[K] << '\n'; } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); main_(); return 0; }