/** * @FileName a.cpp * @Author kanpurin * @Created 2020.07.28 21:33:20 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; int MOD = 1e9 + 7; struct mint { private: long long x; public: mint(long long x = 0) :x((MOD+x)%MOD) {} mint(std::string &s) { long long z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } this->x = z; } mint& operator+=(const mint &a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint &a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint& operator*=(const mint &a) { (x *= a.x) %= MOD; return *this; } mint& operator/=(const mint &a) { long long n = MOD - 2; mint u = 1, b = a; while (n > 0) { if (n & 1) { u *= b; } b *= b; n >>= 1; } return *this *= u; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend std::ostream& operator<<(std::ostream &os, const mint &n) { return os << n.x; } bool operator==(const mint &a) const { return this->x == a.x; } }; long long powMod(long long k, long long n, long long mod) { long long x = 1; while (n > 0) { if (n & 1) { x = x * k % mod; } k = k * k % mod; n >>= 1; } return x; } long long comb(ll n, ll r, ll mod) { long long ret = 1; while (true) { if (r == 0) break; long long N = n % mod; long long R = r % mod; if (N < R) return 0; for (int i = 0; i < R; i++) { ret = ret * (N - i) % mod; } long long imul = 1; for (int i = 0; i < R; i++) { imul = imul * (i + 1) % mod; } ret = ret * powMod(imul, mod - 2, mod) % mod; n /= mod; r /= mod; } return ret; } int main() { ll a, b; cin >> a >> b; ll n, k; cin >> n >> k; a %= MOD; b %= MOD; if (k == 1) { cout << a << endl; } else if (k == n + 1) { cout << b << endl; } else { cout << ((comb(n - 1, k - 1,MOD) * a) % MOD + (comb(n - 1, k - 2,MOD) * b) % MOD) % MOD << endl; } mint ans = 0; mint c = 1; vector< mint > p(n + 1,0); p[0] = a; p[n] = b; for (int i = 1; i < n; i++) { c *= n - i; c /= i; p[i] += c * a; p[n - i] += c * b; } for (int i = 0; i <= n; i++) { ans += p[i] * p[i]; } cout << ans << endl; return 0; }