#if __INCLUDE_LEVEL__ == 0 #include using namespace std; #include __BASE_FILE__ namespace { using Mint = atcoder::modint; void solve() { int64_t n; int64_t m; int l; int r; { int b; cin >> tie(n, m, l, r, b); Mint::set_mod(b * l); } using Num = vector; auto mul = [&](const Num& x, const Num& y) -> Num { Num z(l); for (int i : rep(l)) { for (int j : rep(l)) { int k = i + j; if (l <= k) { k -= l; } z[k] += x[i] * y[j]; } } return z; }; auto power = [&](Num a, int64_t n) { assert(0 < n); for (; ~n & 1; n >>= 1) { a = mul(a, a); } Num ret = a; while (n >>= 1) { a = mul(a, a); if (n & 1) { ret = mul(ret, a); } } return ret; }; using L = atcoder::dynamic_modint<0>; L::set_mod(l); Num ans(l); for (int k : rep(l)) { Num t(l); t[0] = 1; t[k] += m; t = power(t, n); for (int i : rep(l)) { ans[L(i - k * r).val()] += t[i]; } } auto t = ans[0]; if (l % 2 == 0) { t -= ans[l / 2]; } print(t.val() / l); } } // namespace int main() { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); } #else // __INCLUDE_LEVEL__ #undef assert #define assert(expr) (expr) || (__builtin_unreachable(), 0) #include template bool chmin(T& x, U&& y) { return y < x && (x = forward(y), true); } template bool chmax(T& x, U&& y) { return x < y && (x = forward(y), true); } namespace std { template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } template istream& operator>>(istream& is, tuple& t) { return apply([&is](auto&... xs) -> istream& { return (is >> ... >> xs); }, t); } template istream& operator>>(istream& is, tuple&& t) { return is >> t; } template >* = nullptr> auto operator>>(istream& is, R&& r) -> decltype(is >> *begin(r)) { for (auto&& e : r) { is >> e; } return is; } template ostream& operator<<(ostream& os, const pair& p) { return os << p.first << ' ' << p.second; } template ostream& operator<<(ostream& os, const tuple& t) { auto f = [&os](const auto&... xs) -> ostream& { [[maybe_unused]] auto sep = ""; ((os << exchange(sep, " ") << xs), ...); return os; }; return apply(f, t); } template >* = nullptr> auto operator<<(ostream& os, R&& r) -> decltype(os << *begin(r)) { auto sep = ""; for (auto&& e : r) { os << exchange(sep, " ") << e; } return os; } } // namespace std namespace atcoder { template * = nullptr> istream& operator>>(istream& is, T& x) { int v; is >> v; x = T::raw(v); return is; } template * = nullptr> ostream& operator<<(ostream& os, const T& x) { return os << x.val(); } } // namespace atcoder template void print(Ts&&... xs) { cout << tie(xs...) << '\n'; } inline auto rep(int l, int r) { return views::iota(min(l, r), r); } inline auto rep(int n) { return rep(0, n); } inline auto rep1(int l, int r) { return rep(l, r + 1); } inline auto rep1(int n) { return rep(1, n + 1); } inline auto per(int l, int r) { return rep(l, r) | views::reverse; } inline auto per(int n) { return per(0, n); } inline auto per1(int l, int r) { return per(l, r + 1); } inline auto per1(int n) { return per(1, n + 1); } #endif // __INCLUDE_LEVEL__