#include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 1e5 + 5; const int mod = 1e9 + 7; int h, w, n, f[N]; int fac[N << 1], inv[N << 1], fac_inv[N << 1]; std::pair a[N]; inline int C(int n, int m) { return static_cast(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); fac[0] = 1; for (int i = 1; i < N << 1; i++) { fac[i] = static_cast(fac[i - 1]) * i % mod; } inv[0] = inv[1] = 1; for (int i = 2; i < N << 1; i++) { inv[i] = static_cast(mod - (mod / i)) * inv[mod % i] % mod; } fac_inv[0] = fac_inv[1] = 1; for (int i = 2; i < N << 1; i++) { fac_inv[i] = static_cast(fac_inv[i - 1]) * inv[i] % mod; } cin >> h >> w >> n; for (int i = 1, r, c; i <= n; i++) { cin >> a[i].first >> a[i].second; } std::sort(a + 1, a + 1 + n); a[n + 1] = std::make_pair(h, w); for (int i = 1; i <= n + 1; i++) { f[i] = C(a[i].first + a[i].second - 2, a[i].first - 1); for (int j = 1; j < i; j++) { f[i] = (f[i] - static_cast(f[j]) * C(a[i].first - a[j].first + a[i].second - a[j].second, a[i].first - a[j].first)) % mod; } } cout << (f[n + 1] + mod) % mod << endl; return 0; }