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

#define FOR(i,a,n) for (auto i ## __ = (n), i = (a); i <= i ## __; ++i)
#define FORD(i,a,n) for (auto i ## __ = (n), i = (a); i >= i ## __; --i)
#define REP(i,n) FOR(i,0, n - 1)
#define ALL(h) begin(h), end(h)
#define EB emplace_back
#define X first
#define Y second
#define V vector
#define tpv typedef V<

typedef long long LL;
typedef pair<int, int> PII;
tpv int> VI;
tpv VI> VVI;
tpv PII> VPII;
tpv LL> VLL;

constexpr char nl = '\n';
#define endl nl
#define ris return *this
#define tem template<class t

tem, class u> inline void mini(t& a, u&& b) { if (b < a) a = b; }
tem, class u> inline void maxi(t& a, u&& b) { if (b > a) a = b; }
int ceil2(int h) { return h < 2 ? 1 : 1 << (sizeof(h) * 8 - __builtin_clz(h - 1)); }

tem> struct Dump { t a, b; };
tem> auto dump(t&& h) -> Dump<decltype(begin(h))> { return {ALL(h)}; }
tem> auto stub(t* h) -> decltype(cerr << *h, 0);
tem> char stub(...);
#define enif(o) tem> typename enable_if<sizeof stub<t>(0) o 1, debug&>::type operator<<(t h)
#define dor > debug& operator<<
struct debug {
#ifdef DEBUG
#define deb debug()
	~debug() { cerr << nl; }
	enif(!=) { cerr << boolalpha << h; ris; }
	enif(==) {
		*this << '{';
		for (auto a = begin(h), b = end(h); a != b;)
			*this << *a++ << &" "[a == b];
		ris << '}';
	}
	tem, class u dor(pair<t, u> p) { ris << '(' << p.X << ", " << p.Y << ')'; }
	tem dor(Dump<t> d) {
		*this << "{\n";
		for (t a = d.a, c = a; a != d.b; ++a)
			*this << "  " << distance(c, a) << ": " << *a << nl;
		ris << '}';
	}
#else
	operator int() { return 0; }
#define deb 0 and debug()
	tem dor(t&&) { ris; }
#endif
};

#define imie(h...) #h ": " << (h) << " "
#define LOG(h...) deb << imie(h)
#define DOG(h...) deb << #h ": " << dump(h) << " "
// End of templates

int mod;
array<array<int, 1001>, 1001> binom {};

constexpr int L = 2, R = 1;
array<array<array<int, 4>, 1001>, 1001> cache_less; // [n][k][mask] = number of permutations that are trimed from left if mask & L and right if mask & R that degenerate in less than k turns to 0 values

int solve_less(int n, int k, int mask) {
	if (n == 0)
		return deb << __FUNCTION__ << "(" << n << ", " << k << ", " << mask << ") = " << 1, 1;
	if (k <= 1 or mask == 0)
		return deb << __FUNCTION__ << "(" << n << ", " << k << ", " << mask << ") = " << 0, 0;

	if (n == 1)
		return deb << __FUNCTION__ << "(" << n << ", " << k << ", " << mask << ") = " << 1, 1;

	if (cache_less[n][k][mask] != -1)
		return cache_less[n][k][mask];

	LL res = 0;
	FOR (i, 1, n) { // i == pos of the max element
		LL x = 0;
		if (mask & L)
			x += solve_less(i - 1, k - 1, L | R) * (LL)solve_less(n - i, k, mask) % mod;
		if (mask & R)
			x += solve_less(n - i, k - 1, L | R) * (LL)solve_less(i - 1, k, mask) % mod;
		if (mask == (L | R))
			x += mod - solve_less(n - i, k - 1, mask) * (LL)solve_less(i - 1, k - 1, mask) % mod;
		res += x * binom[n - 1][i - 1] % mod;
	}

	deb << __FUNCTION__ << "(" << n << ", " << k << ", " << mask << ") = " << res % mod;
	return cache_less[n][k][mask] = res % mod;
}

// array<array<array<int, 4>, 1001>, 1001> cache_eq; // [n][k][mask] = number of permutations that are trimed from left if mask & L and right if mask & R that degenerate in k turns to one value

// int solve_eq(int n, int k, int mask) {
// 	if (n == 0 and k == 0)
// 		return
// 	if (n == 1 and k == 0 and mask == 0)
// 		return 1;

// 	if (n == 1 or k == 0)
// 		return 0;

// 	if (k >= n)
// 		return 0;

// 	if (cache_eq[n][k][mask] != -1)
// 		return cache_eq[n][k][mask];

// 	LL res = 0;
// 	if (~mask & L)
// 		res += solve_eq(n - 1, k - 1, L | mask);
// 	if (~mask & R)
// 		res += solve_eq(n - 1, k - 1, mask | R);

// 	FOR (i, 2, n - 1) { // i == pos of the max element
// 		// res += solve(n - k
// 	}

// 	return cache_eq[n][k][mask] = res % mod;
// }

int solve_eq(int n, int k, int mask) {
	int res = (solve_less(n, k + 1, mask) - solve_less(n, k, mask) + mod) % mod;
	deb << __FUNCTION__ << "(" << n << ", " << k << ", " << mask << ") = " << res;
	return res;
}

LL solve(int n, int k) {
	if (k > 10)
		return 0;
	if (n == 0 or k >= n)
		return 0;

	if (n == 1)
		return (k == 0);

	LL res = solve_eq(n - 1, k, R) + solve_eq(n - 1, k, L);
	LOG(res);
	FOR (i, 2, n - 1) { // i == pos of the max elem
		deb << "======================== " imie(i);
		LOG(i - 1);
		LOG(k);
		LOG(n - i);
		LL x = solve_eq(i - 1, k, R) * (LL)solve_less(n - i, k, L) % mod +
			solve_less(i - 1, k, R) * (LL)solve_eq(n - i, k, L) % mod +
			solve_eq(i - 1, k, R) * (LL)solve_eq(n - i, k, L) % mod;
		res += x * binom[n - 1][i - 1] % mod;
	}

	return res % mod;
}

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

	LOG(L);
	LOG(R);

	// mod = 100000007;
	int n, k;
	cin >> n >> k >> mod;

	for (auto& a : cache_less)
		for (auto& b : a)
			for (auto& c : b)
				c = -1;

	binom[0][0] = 1;
	FOR (i, 1, 1000) {
		binom[i][0] = binom[i][i] = 1;
		FOR (j, 1, i - 1) {
			binom[i][j] = binom[i - 1][j - 1] + binom[i - 1][j];
			if (binom[i][j] >= mod)
				binom[i][j] -= mod;
		}
	}

	cout << solve(n, k) << nl;

	// LL hash = 0;
	// FOR (n, 1, 1000)
	// 	FOR (k, 1, n)
	// 		hash += solve(n, k) * n % mod * k % mod;
	// cout << hash % mod << nl;

	return 0;
}