#include #include using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using ld = long double; using P = pair; using tp = tuple; template using vec = vector; template using vvec = vector>; #define all(hoge) (hoge).begin(), (hoge).end() #define en '\n' #define rep(i, m, n) for(ll i = (ll)(m); i < (ll)(n); ++i) #define rep2(i, m, n) for(ll i = (ll)(n)-1; i >= (ll)(m); --i) #define REP(i, n) rep(i, 0, n) #define REP2(i, n) rep2(i, 0, n) constexpr long long INF = 1LL << 60; constexpr int INF_INT = 1 << 25; // constexpr long long MOD = (ll)1e9 + 7; constexpr long long MOD = 998244353LL; static const ld pi = 3.141592653589793L; #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") template inline bool chmin(T &a, T b) { if(a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if(a < b) { a = b; return true; } return false; } struct Edge { int to, rev; ll cap; Edge(int _to, int _rev, ll _cap) : to(_to), rev(_rev), cap(_cap) {} }; typedef vector Edges; typedef vector Graph; void add_edge(Graph &G, int from, int to, ll cap, bool revFlag, ll revCap) { G[from].push_back(Edge(to, (int)G[to].size(), cap)); if(revFlag) G[to].push_back(Edge(from, (int)G[from].size() - 1, revCap)); } template struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt(t); return (is); } static int get_mod() { return mod; } }; using mint = ModInt; void solve() { ll p1, p2, q1, q2, t; cin >> p1 >> p2 >> q1 >> q2 >> t; mint P = mint(p1) / p2; mint Q = mint(q1) / q2; // dp[i][j]: iターン目までに生き残っているj歳の人の数 vector dp(t + 1, vector(t + 2, mint(0))); dp[0][1] = 1; REP(i, t) { REP(j, t + 2) { // 産む dp[i + 1][1] += P * dp[i][j]; } REP(j, t + 1) { // 生き残る dp[i + 1][j + 1] += Q.pow(j) * dp[i][j]; } } mint ans = 0; REP(i, t + 2) { ans += dp[t][i]; } cout << ans << en; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); // cout << fixed << setprecision(10); // ll t; // cin >> t; // REP(i, t - 1) { // solve(); // } solve(); return 0; }