#include #define ADD(a, b) a = (a + ll(b)) % mod #define MUL(a, b) a = (a * ll(b)) % mod #define MAX(a, b) a = max(a, b) #define MIN(a, b) a = min(a, b) #define rep(i, a, b) for(int i = int(a); i < int(b); i++) #define rer(i, a, b) for(int i = int(a) - 1; i >= int(b); i--) #define all(a) (a).begin(), (a).end() #define sz(v) (int)(v).size() #define pb push_back #define sec second #define fst first #define debug(fmt, ...) Debug(__LINE__, ":", fmt, ##__VA_ARGS__) using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair pi; typedef pair pl; typedef pair ppi; typedef vector vi; typedef vector vl; typedef vector mat; typedef complex comp; void Debug() {cout << '\n'; } templatevoid Debug(FIRST arg, REST... rest){ cout<ostream& operator<<(ostream& out,const vector& v) { out<<"[";if(!v.empty()){rep(i,0,sz(v)-1)out<ostream& operator<<(ostream& out,const pair& v){ out<<"("<= b if(a < b || a < 0 || b < 0) return 0; return fac[a] * fiv[b] % mod * fiv[a - b] % mod; } int H, W, K; ll dp[(1 << 20)]; pi P[20]; void solve() { cin >> H >> W >> K; C_init(H + W); rep(i, 0, K) cin >> P[i].fst >> P[i].sec; rep(bit, 0, (1 << K)) { vector vec; rep(i, 0, K) { if(bit & (1 << i)) { vec.pb(P[i]); } } vec.pb(pi(H, W)); sort(all(vec)); pi p = pi(0, 0); dp[bit] = 1; rep(i, 0, sz(vec)) { if(p.fst > vec[i].fst || p.sec > vec[i].sec) { dp[bit] = 0; } else { int x = vec[i].fst - p.fst, y = vec[i].sec - p.sec; MUL(dp[bit], C(x + y, x)); p = vec[i]; } } } rep(i, 0, K) { rep(j, 0, (1 << K)) { if(j & (1 << i)) ADD(dp[j], mod - dp[j ^ (1 << i)]); } } rep(i, 0, (1 << K)) { if(__builtin_popcount(i) % 2) cout << mod - dp[i] << "\n"; else cout << dp[i] << "\n"; } } int main() { #ifndef LOCAL ios::sync_with_stdio(false); cin.tie(0); #endif cout << fixed; cout.precision(20); srand((unsigned int)time(NULL)); #ifdef LOCAL //freopen("in.txt", "wt", stdout); //for tester freopen("in.txt", "rt", stdin); #endif solve(); #ifdef LOCAL cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n"; #endif return 0; }