#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)<; using vi = vector; using vll = vector; template class ModInt { public: ModInt() :value(0) {} ModInt(long long val) :value((int)(val<0 ? MOD + val % MOD : val % MOD)) { } ModInt& operator+=(ModInt that) { value = value + that.value; if (value >= MOD)value -= MOD; return *this; } ModInt& operator-=(ModInt that) { value -= that.value; if (value<0)value += MOD; return *this; } ModInt& operator*=(ModInt that) { value = (int)((long long)value * that.value % MOD); return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt pow(long long k) const { ModInt n = *this, res = 1; while (k) { if (k & 1)res *= n; n *= n; k >>= 1; } return res; } ModInt inverse() const { long long a = value, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } int toi() const { return value; } private: int value; }; typedef ModInt<100000007> mint; ostream& operator<<(ostream& os, const mint& x) { os << x.toi(); return os; } namespace comb { const int N = 200005; mint fact[N]; mint rev[N]; void init() { fact[0] = 1; for (int i = 1; i < N; ++i)fact[i] = fact[i - 1] * i; for (int i = 0; i < N; ++i)rev[i] = fact[i].inverse(); } mint C(int n, int r) { if (n < r)return 0; return fact[n] * rev[r] * rev[n - r]; } } template vector zeta(vector f) { int len = (int)f.size(); for (int i = 0; (1 << i) < len; ++i) { for (int S = i; S < len; ++S)if (S >> i & 1) { f[S] += f[S ^ 1 << i]; } } return f; } template vector mobius(vector f) { int len = (int)f.size(); for (int i = 0; (1 << i) < len; ++i) { for (int S = i; S < len; ++S)if (S >> i & 1) { f[S] -= f[S ^ 1 << i]; } } return f; } void solve() { comb::init(); int H, W, K; scanf("%d%d%d", &H, &W, &K); vector > abk(K); rep(i, K) { int a, b; scanf("%d%d", &a, &b); abk[i] = tie(a, b, i); } sort(all(abk)); vector f(1 << K); vector p; rep(S, 1 << K) { p.clear(); p.emplace_back(0, 0); int T = (1 << K) - 1; rep(i, K) if (S >> i & 1) { int a, b, k; tie(a, b, k) = abk[i]; p.emplace_back(a, b); T ^= 1 << k; } p.emplace_back(H, W); mint res = 1; rep(i, sz(p) - 1) { int d = p[i + 1].first - p[i].first; int r = p[i + 1].second - p[i].second; if (d < 0 || r < 0) { T = -1; break; } res *= comb::C(d + r, d); } if (T >= 0)f[T] = res; } auto g = mobius(f); reverse(all(g)); auto h = zeta(g); reverse(all(h)); each(ans, h) { printf("%d\n", ans.toi()); } } int main() { // ios::sync_with_stdio(false); // cin.tie(0); // cout << fixed << setprecision(15); solve(); return 0; }