#include #include using namespace std; using namespace atcoder; struct Fast { Fast() { std::cin.tie(nullptr); ios::sync_with_stdio(false); cout << setprecision(10); } } fast; #define rep(i, a, b) for (int i = (a); i < (int)(b); i++) #define rrep(i, a, b) for (int i = (int)(b)-1; i >= (a); i--) using ll = long long; using mint = dynamic_modint<0>; template T extgcd(T a, T b, T& x, T& y) { for (T u = y = 1, v = x = 0; a;) { T q = b / a; swap(x -= q * u, u); swap(y -= q * v, v); swap(b -= q * a, a); } return b; } template T mod_inv(T a, T m) { T x, y; extgcd(a, m, x, y); return (m + x % m) % m; } ll mod_pow(ll a, ll n, ll mod) { ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; } template vector convolution_int32mod(vector a, vector b) { const ll m1 = 167772161; const ll m2 = 469762049; const ll m3 = 1224736769; const int mod = mint::mod(); vector u(a.size()), v(b.size()); for (int i = 0; i < (int)a.size(); i++) u[i] = a[i].val(); for (int i = 0; i < (int)b.size(); i++) v[i] = b[i].val(); auto x = convolution(u, v); auto y = convolution(u, v); auto z = convolution(u, v); const ll m1_inv_m2 = mod_inv(m1, m2); const ll m12_inv_m3 = mod_inv(m1 * m2, m3); const ll m12_mod = m1 * m2 % mod; int n = (int)x.size(); vector ret(n); for (int i = 0; i < n; i++) { ll v1 = (y[i] - x[i]) * m1_inv_m2 % m2; if (v1 < 0) v1 += m2; ll v2 = (z[i] - (x[i] + m1 * v1) % m3) * m12_inv_m3 % m3; if (v2 < 0) v2 += m3; ll v3 = (x[i] + m1 * v1 + m12_mod * v2) % mod; if (v3 < 0) v3 += mod; ret[i] = v3; } return ret; } template vector convolution_int32mod(vector a, vector b) { using mint = static_modint; vector u(a.size()), v(b.size()); for (int i = 0; i < (int)a.size(); i++) u[i] = a[i]; for (int i = 0; i < (int)b.size(); i++) v[i] = b[i]; auto w = convolution_int32mod(u, v); int n = (int)w.size(); vector c(n); for (int i = 0; i < n; i++) c[i] = w[i].val(); return c; } template mint bostan_mori(vector a, vector b, ll n) { if (a.size() < b.size()) a.resize(b.size()); auto c = vector(b.size()); while (n) { rep(i, 0, b.size()) c[i] = i % 2 == 0 ? b[i] : -b[i]; auto a1 = convolution_int32mod(a, c), b1 = convolution_int32mod(b, c); int r = (int)(n % 2); for (int i = 0; i < a.size() && i * 2 + r < a1.size(); i++) a[i] = a1[i * 2 + r]; for (int i = 0; i < b.size(); i++) b[i] = b1[i * 2]; n /= 2; } return a[0] / b[0]; }; int main() { ll n, m, l, k, mod; cin >> n >> m >> l >> k >> mod; if (mod == 1) { cout << 0 << endl; return 0; } mint::set_mod((int)mod); vector a(l, 0), b(l + 1, 0); a[k] = 1; rep(i, 0, l - (k + 1)) rrep(j, 1, l) a[j] -= a[j - 1]; b[0] = 1; rep(i, 0, l) rrep(j, 1, l + 1) b[j] -= b[j - 1]; b[l] -= m; cout << bostan_mori(a, b, n).val() << endl; }