#include template using Vec = std::vector; constexpr unsigned MOD = 998244353; struct Fp { unsigned val; explicit Fp(const unsigned val = 0): val(val) { } void operator += (const Fp other) { val += other.val; if (val >= MOD) { val -= MOD; } } void operator -= (const Fp other) { val += MOD - other.val; if (val >= MOD) { val -= MOD; } } void operator *= (const Fp other) { val = (unsigned long long) val * other.val % MOD; } Fp operator + (const Fp other) const { Fp ret(*this); ret += other; return ret; } Fp operator - (const Fp other) const { Fp ret(*this); ret -= other; return ret; } Fp operator * (const Fp other) const { Fp ret(*this); ret *= other; return ret; } Fp inv() const { Fp ret(1), mult(*this); unsigned exp = MOD - 2; while (exp > 0) { if (exp & 1) { ret *= mult; } exp >>= 1; mult *= mult; } return ret; } }; struct FpUtil { Vec fact; Vec inv_fact; explicit FpUtil(const unsigned size): fact(size + 1), inv_fact(size + 1) { fact[0] = Fp(1); for (int i = 1; i <= (int) size; ++i) { fact[i] = fact[i - 1] * Fp(i); } inv_fact[size] = fact[size].inv(); for (int i = (int) size; i >= 1; --i) { inv_fact[i - 1] = inv_fact[i] * Fp(i); } } Fp binom(const unsigned a, const unsigned b) const { return fact[a + b] * inv_fact[a] * inv_fact[b]; } }; int main() { int N, M, L, K; std::cin >> N >> M >> L >> K; assert(1 <= N && N <= 200000); assert(0 <= M && M <= std::min(N - 1, 100000)); assert(0 <= L && L <= std::min((long long) (N + 1) * (N + 1), (long long) 100)); assert(0 <= K && K <= 100000); Vec> Pts; Pts.reserve(2 + M); Pts.emplace_back(0, 0); for (int i = 0; i < M; ++i) { int x, y; std::cin >> x >> y; Pts.emplace_back(x, y); } Pts.emplace_back(N, N); for (int i = 0; i + 1 < (int) Pts.size(); ++i) { assert(Pts[i].first < Pts[i + 1].first); assert(Pts[i].second < Pts[i + 1].second); } std::set> set; for (int i = 0; i < L; ++i) { int x, y; std::cin >> x >> y; assert(0 <= x && x <= N); assert(0 <= y && y <= N); set.emplace(x, y); } assert((int) set.size() == L); Vec>> Tig(Pts.size()); for (int i = 0; i + 1 < (int) Pts.size(); ++i) { Tig[i + 1].push_back(Pts[i]); } Vec inevitable(Pts.size()); for (const auto [x, y]: set) { bool inside = true; for (int i = 0; i < (int) Pts.size(); ++i) { if (x == Pts[i].first && y == Pts[i].second) { inevitable[i] = true; inside = false; break; } } if (!inside) { continue; } for (int i = 1; i < (int) Pts.size(); ++i) { if (Pts[i - 1].first <= x && x <= Pts[i].first && Pts[i - 1].second <= y && y <= Pts[i].second) { Tig[i].emplace_back(x, y); break; } } } for (int i = 1; i < (int) Pts.size(); ++i) { Tig[i].push_back(Pts[i]); } Vec dp(L + 1); dp[inevitable[0]] = Fp(1); FpUtil util(2 * N); for (int i = 1; i < (int) Pts.size(); ++i) { const auto &vec = Tig[i]; const int size = (int) vec.size(); Vec> path(size, Vec(size)); for (int j = 0; j < size; ++j) { for (int k = j + 1; k < size; ++k) { if (vec[k].second < vec[j].second) { continue; } path[j][k] = util.binom(vec[k].first - vec[j].first, vec[k].second - vec[j].second); for (int l = j + 1; l < k; ++l) { if (vec[l].second >= vec[j].second && vec[k].second >= vec[l].second) { path[j][k] -= path[j][l] * util.binom(vec[k].first - vec[l].first, vec[k].second - vec[l].second); } } } } Vec> calc(size - 2, Vec(L + 1)); for (int j = 0; j < size - 2; ++j) { for (int k = 0; k < L; ++k) { calc[j][k + 1] += dp[k] * path[0][j + 1]; } } for (int j = 0; j < size - 2; ++j) { for (int k = j + 1; k < size - 2; ++k) { for (int l = 0; l < L; ++l) { calc[k][l + 1] += calc[j][l] * path[j + 1][k + 1]; } } } Vec next(L + 1); for (int k = 0; k + inevitable[i] <= L; ++k) { next[k + inevitable[i]] += dp[k] * path[0][size - 1]; for (int j = 0; j < size - 2; ++j) { next[k + inevitable[i]] += calc[j][k] * path[j + 1][size - 1]; } } dp = std::move(next); } std::cout << std::accumulate(dp.begin(), dp.begin() + std::min(L, K) + 1, Fp(0)).val << '\n'; }