// SPDX-License-Identifier: CC0

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

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

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

mint solve(const int n, const int m) {
  auto ans = mint(1);

  for (auto i : views::iota(1, m + 1)) {
    ans *= i;
  }
  for (auto i : views::iota(1, (1 << n) - m + 1)) {
    ans *= i;
  }

  if (m == 1 << n) return ans;

  auto dp = vector<vector<mint>>(n + 1);
  dp[0] = vector<mint>{0, 1};

  for (auto t : views::iota(0, n)) {
    dp[t + 1] = atcoder::convolution(dp[t], dp[t]);
    for (auto i : views::iota(0, ssize(dp[t]))) {
      dp[t + 1][i] += dp[t][i];
    }
  }

  ans *= dp[n][(1 << n) - m];
  return ans;
}

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

  int n, m;
  cin >> n >> m;
  cout << solve(n, m).val() << "\n";
}