#include #include #include #include #include #include #include #include #include #include #include #include #include #pragma region using namespace std; #define FOR(i,r,n) for(ll i = (ll)(r); i < (ll)(n); i++) #define rep(i,n) FOR(i,0LL,n) #define RFOR(i,r,n) for(ll i=(ll)(n-1);i>=r;i--) #define rrep(i,n) RFOR(i,0LL,n) #define all(x) x.begin(),x.end() #define rall(x) x.rbegin(),x.rend() #define COUNT(a,y,x) upper_bound(all(a), y) - lower_bound(all(a), x) #define UNIQUE(a) sort(all(a)); a.erase(unique(all(a)), a.end()) #define pb push_back #define endl '\n' typedef long long int ll; typedef vector vll; typedef vector vvll; typedef pair pll; typedef vector vpll; typedef vector vs; typedef map MAP; const ll inf = 2222222222222222222LL; const ll mod = 100000007LL; ll n = 0, m = 0, ans = 0, tmp = 0, ma = -inf, mi = inf; string s; bool ok; ll dx[9] = { 0,1,-1,0,0,1,1,-1,-1 }, dy[9] = { 0,0,0,1,-1,1,-1,1,-1 }; #pragma endregion #define MAX 222222 ll a[22], b[22], f[1LL << 21]; vll fac, inv, invfac; void comb_set(ll x = MAX) { fac.resize(x + 1, 0); invfac.resize(x + 1, 0); inv.resize(x + 1, 0); fac[0] = inv[1] = invfac[0] = 1; FOR(i, 1, x + 1) (fac[i] = fac[i - 1] * i) %= mod; FOR(i, 2, x + 1) (inv[i] = (mod - mod / i) * inv[mod%i]) %= mod; FOR(i, 1, x + 1) (invfac[i] = invfac[i - 1] * inv[i]) %= mod; } ll comb(ll x, ll y) { if (x < y) return 0; return fac[x] * invfac[x - y] % mod * invfac[y] % mod; } int main(void) { ios::sync_with_stdio(false); cin.tie(0); comb_set(MAX); ll h, w, k; cin >> h >> w >> k; rep(i, k) cin >> a[i] >> b[i]; rep(bit, 1LL << k) { vpll vp; pll p; vp.pb(make_pair(0, 0)); vp.pb(make_pair(h, w)); rep(i,k) if(bit>>i&1) vp.pb(make_pair(a[i], b[i])); sort(all(vp)); ll x = 0, y = 0; tmp = 1; FOR(i, 1, vp.size()) { if (x > vp[i].second) { tmp = 0; break; } (tmp *= comb(vp[i].first + vp[i].second - y - x, vp[i].first - y)) %= mod; y = vp[i].first; x = vp[i].second; } f[bit] = tmp; } rep(i, k) rep(j, 1LL << k) if (j & 1LL << i) (f[j] = f[j] + mod - f[j ^ (1LL << i)]) %= mod; rep(bit, 1LL << k) { ll cnt = 0; rep(i, k) if (bit >> i & 1) cnt++; if (cnt % 2) cout << mod - f[bit] << endl; else cout << f[bit] << endl; } return 0; }