#include<bits/stdc++.h>
using namespace std;

template <int& MOD_> struct modnum {
	static constexpr int& MOD = MOD_;
	//static_assert(MOD_ > 0, "MOD must be positive");

private:
	using ll = long long;

	int v;

	static int minv(int a, int m) {
		a %= m;
		assert(a);
		return a == 1 ? 1 : int(m - ll(minv(m, a)) * ll(m) / a);
	}

public:

	modnum() : v(0) {}
	modnum(ll v_) : v(int(v_ % MOD)) { if (v < 0) v += MOD; }
	explicit operator int() const { return v; }
	friend std::ostream& operator << (std::ostream& out, const modnum& n) { return out << int(n); }
	friend std::istream& operator >> (std::istream& in, modnum& n) { ll v_; in >> v_; n = modnum(v_); return in; }

	friend bool operator == (const modnum& a, const modnum& b) { return a.v == b.v; }
	friend bool operator != (const modnum& a, const modnum& b) { return a.v != b.v; }

	modnum inv() const {
		modnum res;
		res.v = minv(v, MOD);
		return res;
	}
	friend modnum inv(const modnum& m) { return m.inv(); }
	modnum neg() const {
		modnum res;
		res.v = v ? MOD-v : 0;
		return res;
	}
	friend modnum neg(const modnum& m) { return m.neg(); }

	modnum operator- () const {
		return neg();
	}
	modnum operator+ () const {
		return modnum(*this);
	}

	modnum& operator ++ () {
		v ++;
		if (v == MOD) v = 0;
		return *this;
	}
	modnum& operator -- () {
		if (v == 0) v = MOD;
		v --;
		return *this;
	}
	modnum& operator += (const modnum& o) {
		v += o.v;
		if (v >= MOD) v -= MOD;
		return *this;
	}
	modnum& operator -= (const modnum& o) {
		v -= o.v;
		if (v < 0) v += MOD;
		return *this;
	}
	modnum& operator *= (const modnum& o) {
		v = int(ll(v) * ll(o.v) % MOD);
		return *this;
	}
	modnum& operator /= (const modnum& o) {
		return *this *= o.inv();
	}

	friend modnum operator ++ (modnum& a, int) { modnum r = a; ++a; return r; }
	friend modnum operator -- (modnum& a, int) { modnum r = a; --a; return r; }
	friend modnum operator + (const modnum& a, const modnum& b) { return modnum(a) += b; }
	friend modnum operator - (const modnum& a, const modnum& b) { return modnum(a) -= b; }
	friend modnum operator * (const modnum& a, const modnum& b) { return modnum(a) *= b; }
	friend modnum operator / (const modnum& a, const modnum& b) { return modnum(a) /= b; }
};

template <typename T> T pow(T a, long long b) {
	assert(b >= 0);
	T r = 1; while (b) { if (b & 1) r *= a; b >>= 1; a *= a; } return r;
}

int MOD;
using num = modnum<MOD>;

const int MAXN = 4000;
int N;

num p2[MAXN];
num pp2[MAXN];

num stirling[MAXN][MAXN];
num fact[MAXN];
num ifact[MAXN];

int main() {
	ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
	cin >> N >> MOD;
	stirling[0][0] = 1;
	for (int i = 1; i <= N+1; i++) {
		for (int j = 1; j <= i; j++) {
			stirling[i][j] = num(j) * stirling[i-1][j] + stirling[i-1][j-1];
		}
	}

	p2[0] = 1;
	pp2[0] = 2;
	fact[0] = 1;
	for (int i = 1; i <= N; i++) {
		p2[i] = p2[i-1] + p2[i-1];
		pp2[i] = pp2[i-1] * pp2[i-1];
		fact[i] = fact[i-1] * num(i);
	}
	ifact[N] = inv(fact[N]);
	for (int i = N; i >= 1; i--) ifact[i-1] = ifact[i] * num(i);

	num ans = 0;
	for (int b = 0; b <= N; b++) {
		num a = 1;
		num v = 0;
		for (int k = 0; k <= b; k++, a *= p2[N-b]) {
			v += a * stirling[b+1][k+1];
		}
		v *= pp2[N-b]; v *= fact[N] * ifact[b] * ifact[N-b];
		if (b & 1) {
			ans -= v;
		} else {
			ans += v;
		}
	}
	cout << ans << '\n';

	return 0;
}


Measured memory_bytes: 62848