#include #include using namespace std; using namespace atcoder; using mint = modint998244353; const int mod = 998244353; //using mint = modint1000000007; //const int mod = 1000000007; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct combination { std::vector fact, ifact; combination(int n) :fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { return com(n, k); } mint com(int n, int k) { //負の二項係数を考慮する場合にコメントアウトを外す //if (n < 0) return com(-n, k) * (k % 2 ? -1 : 1); if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } mint comsub(long long n, long long k) { if (n - k < k) k = n - k; assert(k < (int)fact.size()); mint val = ifact[k]; for (int i = 0; i < k; ++i) val *= n - i; return val; } mint div(int x) { if (x >= (int)fact.size())return mint(x).inv(); return fact[x - 1] * ifact[x]; } mint inv(int n, int k) { //if (n < 0) return inv(-n, k) * (k % 2 ? -1 : 1); if (k < 0 || k > n) return 0; return ifact[n] * fact[k] * fact[n - k]; } mint p(int n, int k) { return fact[n] * ifact[n - k]; } }c(2000006); template struct value_compression : std::vector { bool built = false; using VS = std::vector; using VS::VS; value_compression(std::vector v = {}) : std::vector(move(v)) {} void build() { std::sort(this->begin(), this->end()); this->erase(unique(this->begin(), this->end()), this->end()); built = true; } template void convert(T first, T last) { assert(built); for (; first != last; ++first) *first = (*this)(*first); } int operator()(S x) { assert(built); return lower_bound(this->begin(), this->end(), x) - this->begin(); } void clear() { this->clear(); built = false; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m, k; cin >> n >> m >> k; vector

xy(k); value_compression vc; rep(i, k) { int x, y; cin >> x >> y; x--, y--; xy[i] = { x,y }; vc.emplace_back(x); vc.emplace_back(y); } vc.build(); rep(i, k) xy[i] = { vc(xy[i].first),vc(xy[i].second) }; int main = n - m; rep(i, vc.size())main -= vc[i] >= m; int sz = vc.size(); vectorconstraints(sz);// iより前にあってはないけない要素の集合 for (auto[x, y] : xy) constraints[y] |= 1 << x; vectordp(1 << sz); dp[0] = main * c.fact[n - 1 - sz] * c(n - 1, sz); rep(i, sz) { // last fix if (constraints[i])continue; if (vc[i] < m)continue; dp[1 << i] = c.fact[n - sz] * c(n - 1, sz - 1); } rep(i, 1 << sz) { rep(j, sz) { if (1 & (i >> j))continue; if ((constraints[j] & i) != constraints[j])continue; dp[i + (1 << j)] += dp[i]; } } cout << dp.back().val() << endl; return 0; }