Submission #860432

#TimeUsernameProblemLanguageResultExecution timeMemory
860432rxlfd314Tents (JOI18_tents)C++17
100 / 100
130 ms35796 KiB
#include <bits/stdc++.h>
using namespace std;

#define vt vector
#define size(x) (int((x).size()))
#define all(x) begin(x), end(x)

#define REP(a, b, c, d) for (int a = (b); (d) > 0 ? a <= (c) : a >= (c); a += (d))
#define FOR(a, b, c) REP(a, b, c, 1)
#define ROF(a, b, c) REP(a, b, c, -1)

#define chmax(a, b) a = a > (b) ? a : (b)
#define chmin(a, b) a = a < (b) ? a : (b)

signed main() {
#ifndef DEBUG
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
#endif
  constexpr int MOD = 1e9 + 7;
  int N, M;
  cin >> N >> M;
  vt<vt<int>> f(N+1, vt<int>(M+1));
  fill(all(f[0]), 1);
  FOR(i, 0, N)
    f[i][0] = 1;
  FOR(i, 1, N)
    FOR(j, 1, M) {
      f[i][j] = f[i][j-1];
      (f[i][j] += 4ll * f[i-1][j-1] * i % MOD) %= MOD;
      if (j > 1)
        (f[i][j] += 1ll * f[i-1][j-2] * i % MOD * (j - 1) % MOD) %= MOD;
      if (i > 1)
        (f[i][j] += 1ll * f[i-2][j-1] * i * (i - 1) / 2 % MOD) %= MOD;
    }
  cout << (f[N][M] + MOD - 1) % MOD << '\n';
}
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