#include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; const ll MOD = 998244353; class ModInt{ public: ll v; ModInt(ll _v = 0){ if(_v < 0) _v = (v%MOD)+MOD; if(_v >= MOD) _v %= MOD; v = _v; } ModInt operator+(ll n){ return ModInt((v+n)%MOD); } ModInt operator-(ll n){ return ModInt((v-n+MOD)%MOD); } ModInt operator*(ll n){ if(n >= MOD) n %= MOD; return ModInt((v*n)%MOD); } ModInt operator/(ll n){ return ModInt((ModInt(n).inv()*v).v%MOD); } void operator+=(ll n){ v = (v+n)%MOD; } void operator-=(ll n){ v = (v-n+MOD)%MOD; } void operator*=(ll n){ v = (v*n+MOD)%MOD; } ModInt operator+(ModInt n){ return ModInt((v+n.v)%MOD); } ModInt operator-(ModInt n){ return ModInt((v-n.v+MOD)%MOD); } ModInt operator*(ModInt n){ return ModInt((v*n.v)%MOD); } ModInt operator/(ModInt n){ return ModInt((n.inv()*v).v%MOD); } void operator+=(ModInt n){ v = (v+n.v)%MOD; } void operator-=(ModInt n){ v = (v-n.v+MOD)%MOD; } void operator*=(ModInt n){ v = (v*n.v)%MOD; } void operator=(ModInt n){ v = n.v; } bool operator==(ModInt n){ return v == n.v; } bool operator!=(ModInt n){ return v != n.v; } void operator=(ll n){ v = n%MOD; } ModInt inv(){ if(v == 1) return ModInt(1); else return ModInt(MOD-ModInt(MOD%v).inv().v*(MOD/v)%MOD); } }; ostream& operator<<(ostream& os, const ModInt& m){ os << m.v; return os; } istream & operator >> (istream &in, ModInt &m){ in >> m.v; return in; } ModInt pow(ModInt a, ll n) { assert(n >= 0); ModInt ans = 1; ModInt tmp = a; for (int i = 0; i <= 60; i++) { ll m = (ll)1 << i; if (m & n) { ans *= tmp; } tmp *= tmp; } return ans; } #define N_MAX 400002 ModInt inv[N_MAX],fac[N_MAX],finv[N_MAX]; void init(){ fac[0]=1;fac[1]=1; finv[0]=1;finv[1]=1; inv[1]=1; for(int i=2;i; vector calc(vector

vp){ int n = vp.size(); vector> dp(n, vector(n+1)); dp[0][0] = 1; for(int i = 0; i < n; i++){ auto [x1, y1] = vp[i]; for(int k = 1; k <= i; k++) dp[i][k] -= dp[i][k+1]; for(int j = i+1; j < n; j++){ auto [x2, y2] = vp[j]; if(x1 > x2 || y1 > y2) continue; for(int k = 0; k <= i; k++){ dp[j][k+1] += dp[i][k]*comb(y2+x2-y1-x1, y2-y1); } } } vector v(n-1); for(int i = 0; i < n-1; i++) { v[i] = dp[n-1][i+1]; } return v; } vector convolute(vector u, vector v){ int n = u.size(), m = v.size(); vector ans(n+m-1); for(int i = 0; i < n; i++){ for(int j = 0; j < m; j++){ ans[i+j] += u[i]*v[j]; } } return ans; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; init(); int n, m, l, k; cin >> n >> m >> l >> k; vector

cp(m+2); set

used; cp[0] = P(0, 0); cp[m+1] = P(n, n); for(int i = 0; i < m; i++){ int x, y; cin >> x >> y; cp[i+1] = P(x, y); used.insert(P(x, y)); } vector

tp; for(int i = 0; i < l; i++){ int x, y; cin >> x >> y; if(used.count(P(x, y))) { k--; continue; } tp.push_back(P(x, y)); } sort(tp.begin(), tp.end()); vector ans = {mint(1)}; for(int i = 0; i <= m; i++){ auto [xs, ys] = cp[i]; auto [xt, yt] = cp[i+1]; vector

vp; vp.push_back(cp[i]); for(auto [x, y]: tp){ if(xs <= x && x <= xt && ys <= y && y <= yt) vp.push_back(P(x, y)); } vp.push_back(cp[i+1]); auto v = calc(vp); ans = convolute(ans, v); } mint sum = 0; for(int i = 0; i <= k && i < (int)ans.size(); i++) { sum += ans[i]; } cout << sum << endl; }