// includes #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e8 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} ll h, w; int k; struct point{ int a, b; point(){} point(int a, int b): a(a), b(b){} }; vector vec, tvec; bool comp(const point &x, const point &y){ if(x.a != y.a)return x.a < y.a; return x.b < y.b; } template T power(T a, T n, T mod) { T res = 1; T tmp = n; T curr = a; while(tmp){ if(tmp % 2 == 1){ res = (T)((ll)res * curr % mod); } curr = (T)((ll)curr * curr % mod); tmp >>= 1; } return res; } ll fac[200001], inv[200001]; ll calc(int status){ ll res = fac[h+w] * (inv[h] * inv[w] % mod) % mod; vector v; for(int i = 0; i < k; i++){ if((status >> i) % 2 == 1){ v.pb(tvec[i]); } } sort(all(v), comp); vector dp(sz(v), 0); for(int i = 0; i < sz(v); i++){ point p = v[i]; dp[i] = fac[p.a+p.b] * (inv[p.a] * inv[p.b] % mod) % mod; for(int j = 0; j < i; j++){ point pj = v[j]; if(p.a >= pj.a && p.b >= pj.b){ dp[i] = (dp[i] - dp[j] * (fac[p.a+p.b-pj.a-pj.b] * (inv[p.a-pj.a] * inv[p.b-pj.b] % mod) % mod) % mod) % mod; } } if(dp[i] < 0)dp[i] += mod; res = (res - dp[i] * (fac[h+w-p.a-p.b] * (inv[h-p.a] * inv[w-p.b] % mod) % mod) % mod) % mod; if(res < 0)res = res + mod; } return res; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); cin >> h >> w >> k; fac[0] = 1; for(int i = 1; i <= 200000; i++)fac[i] = i * fac[i-1] % mod; inv[200000] = power(fac[200000], mod - 2, mod); for(int i = 199999; i >= 0; i--){ inv[i] = (i + 1) * inv[i+1] % mod; } vec.resize(k); tvec.resize(k); rep(i, k)cin >> vec[i].a >> vec[i].b; tvec = vec; sort(all(vec), comp); for(int i = 0; i < (1 << k); i++){ cout << calc(i) << endl; } return 0; }