#include <bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math,inline")
#pragma GCC target( \
    "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
using namespace std;
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  os << '{';
  string sep;
  for (const auto &x : v) os << sep << x, sep = ", ";
  return os << '}';
}
template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p) {
  return os << '(' << p.first << ", " << p.second << ')';
}
void dbg_out() { cerr << endl; }
template <typename Head, typename... Tail>
void dbg_out(Head H, Tail... T) {
  cerr << ' ' << H;
  dbg_out(T...);
}
template <const int &MOD>
struct _m_int {
  int val;
  _m_int(int64_t v = 0) {
    if (v < 0) v = v % MOD + MOD;
    if (v >= MOD) v %= MOD;
    val = v;
  }
  static int inv_mod(int a, int m = MOD) {
    int g = m, r = a, x = 0, y = 1;
    while (r != 0) {
      int q = g / r;
      g %= r;
      swap(g, r);
      x -= q * y;
      swap(x, y);
    }
    return x < 0 ? x + m : x;
  }
  explicit operator int() const { return val; }
  explicit operator int64_t() const { return val; }
  _m_int &operator+=(const _m_int &other) {
    val -= MOD - other.val;
    if (val < 0) val += MOD;
    return *this;
  }
  _m_int &operator-=(const _m_int &other) {
    val -= other.val;
    if (val < 0) val += MOD;
    return *this;
  }
  static unsigned fast_mod(uint64_t x, unsigned m = MOD) {
    return x % m;
    unsigned x_high = x >> 32, x_low = (unsigned)x;
    unsigned quot, rem;
    asm("divl %4\n" : "=a"(quot), "=d"(rem) : "d"(x_high), "a"(x_low), "r"(m));
    return rem;
  }
  _m_int &operator*=(const _m_int &other) {
    val = fast_mod((uint64_t)val * other.val);
    return *this;
  }
  _m_int &operator/=(const _m_int &other) { return *this *= other.inv(); }
  friend _m_int operator+(const _m_int &a, const _m_int &b) {
    return _m_int(a) += b;
  }
  friend _m_int operator-(const _m_int &a, const _m_int &b) {
    return _m_int(a) -= b;
  }
  friend _m_int operator*(const _m_int &a, const _m_int &b) {
    return _m_int(a) *= b;
  }
  friend _m_int operator/(const _m_int &a, const _m_int &b) {
    return _m_int(a) /= b;
  }
  _m_int &operator++() {
    val = val == MOD - 1 ? 0 : val + 1;
    return *this;
  }
  _m_int &operator--() {
    val = val == 0 ? MOD - 1 : val - 1;
    return *this;
  }
  _m_int operator++(int) {
    _m_int before = *this;
    ++*this;
    return before;
  }
  _m_int operator--(int) {
    _m_int before = *this;
    --*this;
    return before;
  }
  _m_int operator-() const { return val == 0 ? 0 : MOD - val; }
  bool operator==(const _m_int &other) const { return val == other.val; }
  bool operator!=(const _m_int &other) const { return val != other.val; }
  _m_int inv() const { return inv_mod(val); }
  _m_int pow(int64_t p) const {
    if (p < 0) return inv().pow(-p);
    _m_int a = *this, result = 1;
    while (p > 0) {
      if (p & 1) result *= a;
      a *= a;
      p >>= 1;
    }
    return result;
  }
  friend ostream &operator<<(ostream &os, const _m_int &m) {
    return os << m.val;
  }
};
extern const int MOD = 998244353;
using mod_int = _m_int<MOD>;
const int BITS = 53;
template <typename T>
struct xor_basis {
  T basis[BITS];
  int n = 0;
  T min_value(T start) const {
    if (n == BITS) return 0;
    for (int i = 0; i < n; i++) start = min(start, start ^ basis[i]);
    return start;
  }
  T max_value(T start = 0) const {
    if (n == BITS) return ((T)1 << BITS) - 1;
    for (int i = 0; i < n; i++) start = max(start, start ^ basis[i]);
    return start;
  }
  bool add(T x) {
    x = min_value(x);
    if (x == 0) return false;
    basis[n++] = x;
    for (int k = n - 1; k > 0 && basis[k] > basis[k - 1]; k--)
      swap(basis[k], basis[k - 1]);
    return true;
  }
  void merge(const xor_basis<T> &other) {
    for (int i = 0; i < other.n && n < BITS; i++) add(other.basis[i]);
  }
  void merge(const xor_basis<T> &a, const xor_basis<T> &b) {
    if (a.n > b.n) {
      *this = a;
      merge(b);
    } else {
      *this = b;
      merge(a);
    }
  }
};
void row_reduce(vector<int64_t> &basis) {
  int B = basis.size();
  for (int i = 0; i < B; i++)
    for (int j = i + 1; j < B; j++)
      basis[i] = min(basis[i], basis[i] ^ basis[j]);
}
vector<int64_t> generate_all(vector<int64_t> basis, int M) {
  row_reduce(basis);
  int B = basis.size();
  vector<int64_t> change(B + 1, 0);
  int64_t prefix = 0;
  for (int i = 0; i < B; i++) {
    prefix ^= basis[i];
    change[i] = prefix;
  }
  change[B] = prefix;
  vector<int64_t> counts(M + 1, 0);
  int64_t value = 0;
  for (int mask = 0; mask < 1 << B; mask++) {
    counts[__builtin_popcountll(value)]++;
    value ^= change[__builtin_ctz(mask + 1)];
  }
  return counts;
}
vector<int64_t> build_orthogonal(vector<int64_t> basis, int M) {
  row_reduce(basis);
  int B = basis.size();
  vector<int> highest_bit(B, -1);
  vector<bool> bit_covered(M, false);
  for (int i = 0; i < B; i++) {
    highest_bit[i] = 63 - __builtin_clzll(basis[i]);
    bit_covered[highest_bit[i]] = true;
  }
  vector<int64_t> orthogonal;
  for (int bit = M - 1; bit >= 0; bit--)
    if (!bit_covered[bit]) {
      int64_t value = 1LL << bit;
      for (int i = 0; i < B; i++)
        value |= (basis[i] >> bit & 1) << highest_bit[i];
      orthogonal.push_back(value);
    }
  return orthogonal;
}
vector<int64_t> generate_from_orthogonal(vector<int64_t> basis, int M) {
  row_reduce(basis);
  int B = basis.size();
  vector<int64_t> orthogonal = build_orthogonal(basis, M);
  vector<int64_t> orthogonal_counts = generate_all(orthogonal, M);
  vector<int64_t> counts(M + 1, 0);
  vector<vector<int64_t>> choose(M + 1);
  for (int n = 0; n <= M; n++) {
    choose[n].resize(n + 1);
    choose[n][0] = choose[n][n] = 1;
    for (int r = 1; r < n; r++)
      choose[n][r] = choose[n - 1][r - 1] + choose[n - 1][r];
  }
  auto &&get_choose = [&](int n, int r) -> int64_t {
    if (r < 0 || r > n) return 0;
    return choose[n][r];
  };
  for (int c = 0; c <= M; c++) {
    vector<int64_t> w(M + 1, 0);
    for (int d = 0; d <= M; d++)
      for (int j = 0; j <= d; j++)
        w[d] +=
            (j % 2 == 0 ? 1 : -1) * get_choose(d, j) * get_choose(M - d, c - j);
    for (int d = 0; d <= M; d++) counts[c] += orthogonal_counts[d] * w[d];
    assert((counts[c] & ((1LL << (M - B)) - 1)) == 0);
    counts[c] >>= M - B;
  }
  return counts;
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int N, M;
  cin >> N >> M;
  xor_basis<int64_t> basis_obj;
  for (int i = 0; i < N; i++) {
    int64_t a;
    cin >> a;
    basis_obj.add(a);
  }
  int B = basis_obj.n;
  vector<int64_t> basis(B);
  for (int i = 0; i < B; i++) basis[i] = basis_obj.basis[i];
  vector<int64_t> answers;
  if (B <= M / 2)
    answers = generate_all(basis, M);
  else
    answers = generate_from_orthogonal(basis, M);
  for (int i = 0; i <= M; i++) {
    mod_int answer = answers[i];
    answer *= mod_int(2).pow(N - B);
    cout << answer << (i < M ? ' ' : '\n');
  }
}
