// SPDX-License-Identifier: CC0

#include <atcoder/convolution>
#include <atcoder/modint>

#include <ranges>
#include <vector>
#include <iostream>

using namespace std;
using mint = atcoder::modint998244353;

int main() {
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);

  int n, m;
  cin >> n >> m;

  // $$ f_t(x) = \sum_{i=0}^{2^t} (\text{暖色先頭で暖色が $i$ 人含まれる列の総数}) x^i $$
  auto f = vector<vector<mint>>(n + 1);

  // $$ f_0(x) = x $$
  f[0] = vector<mint>{0, 1};

  for (auto t : views::iota(0, n)) {
    // $$ f_{t+1}(x) = (f_t(x))^2 + f_t(x) $$
    f[t + 1] = atcoder::convolution(f[t], f[t]);
    for (auto i : views::iota(0, ssize(f[t]))) {
      f[t + 1][i] += f[t][i];
    }
  }

  // $$ ([x^{2^n - m}](f_n(x) + 1)) m! (2^n - m)! $$
  auto ans = f[n][(1 << n) - m];
  if (m == 1 << n) ans += 1;
  for (auto i : views::iota(1, m + 1)) {
    ans *= i;
  }
  for (auto i : views::iota(1, (1 << n) - m + 1)) {
    ans *= i;
  }
  cout << ans.val() << "\n";
}