#include using namespace std; using ll = long long; const int MOD = 1000000007; template struct segtree2D_lite { int H, logH; std::vector logW, W; std::vector Yc; std::vector> parent; std::vector>> child; std::vector> Xc; std::vector> preorder; std::vector> d; segtree2D_lite() {} void insert(C y, C x){ preorder.emplace_back(y, x); } void build(){ std::sort(preorder.begin(), preorder.end()); Yc.resize(preorder.size()); for(int i = 0; i < (int)(preorder.size()); i++)Yc[i] = preorder[i].first; Yc.erase(std::unique(Yc.begin(), Yc.end()), Yc.end()); logH = ceil_pow2(Yc.size()); H = 1 << logH; Xc.resize(2 * H), d.resize(2 * H); logW.resize(2 * H), W.resize(2 * H); parent.resize(2 * H), child.resize(H); for(int i = 0, y_id = 0; i < (int)(preorder.size()); i++){ while(Yc[y_id] < preorder[i].first)y_id++; Xc[y_id + H].emplace_back(preorder[i].second); } for(int y = 2 * H - 1; y >= H; y--){ Xc[y].erase(std::unique(Xc[y].begin(), Xc[y].end()), Xc[y].end()); parent[y].resize(Xc[y].size()); logW[y] = ceil_pow2(Xc[y].size()); W[y] = 1 << logW[y]; d[y].resize(2 * W[y], e()); } for(int y = H - 1; y >= 1; y--){ int Ly_id = 2 * y, Ry_id = 2 * y + 1; int Lx_id = 0, Rx_id = 0; while(Lx_id < Xc[Ly_id].size() && Rx_id < Xc[Ry_id].size()){ if(Xc[Ly_id][Lx_id] == Xc[Ry_id][Rx_id]){ parent[Ly_id][Lx_id] = parent[Ry_id][Rx_id] = Xc[y].size(); Xc[y].emplace_back(Xc[Ly_id][Lx_id]); child[y].emplace_back(Lx_id + W[Ly_id], Rx_id + W[Ry_id]); Lx_id++, Rx_id++; }else if(Xc[Ly_id][Lx_id] < Xc[Ry_id][Rx_id]){ parent[Ly_id][Lx_id] = Xc[y].size(); Xc[y].emplace_back(Xc[Ly_id][Lx_id]); child[y].emplace_back(Lx_id + W[Ly_id], 0); Lx_id++; }else{ parent[Ry_id][Rx_id] = Xc[y].size(); Xc[y].emplace_back(Xc[Ry_id][Rx_id]); child[y].emplace_back(0, Rx_id + W[Ry_id]); Rx_id++; } } while(Lx_id < Xc[Ly_id].size()){ parent[Ly_id][Lx_id] = Xc[y].size(); Xc[y].emplace_back(Xc[Ly_id][Lx_id]); child[y].emplace_back(Lx_id + W[Ly_id], 0); Lx_id++; } while(Rx_id < Xc[Ry_id].size()){ parent[Ry_id][Rx_id] = Xc[y].size(); Xc[y].emplace_back(Xc[Ry_id][Rx_id]); child[y].emplace_back(0, Rx_id + W[Ry_id]); Rx_id++; } parent[y].resize(Xc[y].size()); logW[y] = ceil_pow2(Xc[y].size()); W[y] = 1 << logW[y]; d[y].resize(2 * W[y], e()); } } void set(C py, C px, S v){ int y = std::lower_bound(Yc.begin(), Yc.end(), py) - Yc.begin(); y += H; int x = std::lower_bound(Xc[y].begin(), Xc[y].end(), px) - Xc[y].begin(), nxt_x = parent[y][x]; x += W[y]; d[y][x] = v; while(x >>= 1)updateX(y, x); while(y >>= 1){ x = nxt_x, nxt_x = parent[y][x]; d[y][x + W[y]] = op(d[2 * y][child[y][x].first], d[2 * y + 1][child[y][x].second]); x += W[y]; while(x >>= 1)updateX(y, x); } } S get(C py, C px){ int y = std::lower_bound(Yc.begin(), Yc.end(), py) - Yc.begin(); y += H; int x = std::lower_bound(Xc[y].begin(), Xc[y].end(), px) - Xc[y].begin(); return d[y][x + W[y]]; } S prod(C lpy, C lpx , C rpy , C rpx){ int ly = std::lower_bound(Yc.begin(), Yc.end(), lpy) - Yc.begin(); int ry = std::lower_bound(Yc.begin(), Yc.end(), rpy) - Yc.begin(); S sml = e(), smr = e(); ly += H, ry += H ; while (ly < ry) { if (ly & 1) sml = op(sml, yline_prod(lpx, rpx , ly++)); if (ry & 1) smr = op(yline_prod(lpx, rpx , --ry), smr); ly >>= 1, ry >>= 1; } return op(sml, smr); } S yline_prod(C lpx, C rpx , int y){ int lx = std::lower_bound(Xc[y].begin(), Xc[y].end(), lpx) - Xc[y].begin(); int rx = std::lower_bound(Xc[y].begin(), Xc[y].end(), rpx) - Xc[y].begin(); S sml = e(), smr = e(); lx += W[y], rx += W[y] ; while (lx < rx) { if (lx & 1) sml = op(sml, d[y][lx++]); if (rx & 1) smr = op(d[y][--rx], smr); lx >>= 1, rx >>= 1; } return op(sml, smr); } private: int ceil_pow2(int n) { int x = 0; while ((1U << x) < (unsigned int)(n)) x++; return x; } void updateX(int yi, int xi) { d[yi][xi] = op(d[yi][2 * xi], d[yi][2 * xi + 1]); } }; ll op(ll lhs, ll rhs){ return lhs + rhs; } ll e(){return 0;} int main(){ ios::sync_with_stdio(false); cin.tie(0); ll N, K, L, P; cin >> N >> K >> L >> P; int n1 = N / 2, n2 = N - n1; vector a(N), b(N); for(int i = 0; i < N; i++)cin >> a[i] >> b[i]; vector>> c(n1 + 1), d(n2 + 1); segtree2D_lite seg; for(int i = 0; i < (1 << n1); i++){ ll s1 = 0, s2 = 0; for(int j = 0; j < n1; j++){ if(i >> j & 1){ s1 += a[j]; s2 += b[j]; } } c[__builtin_popcount(i)].emplace_back(s1, s2); } for(int i = 0; i < (1 << n2); i++){ ll s1 = 0, s2 = 0; for(int j = 0; j < n2; j++){ if(i >> j & 1){ s1 += a[j + n1]; s2 += b[j + n1]; } } d[__builtin_popcount(i)].emplace_back(s1, s2); seg.insert(s1, s2); } seg.build(); ll ans = 0; for(int ci = min(n1, int(K)), di = 0; ci >= 0; ci--){ while(di <= n2 && ci + di <= K){ for(auto &&p:d[di]){ seg.set(p.first, p.second, seg.get(p.first, p.second) + 1); } di++; } //cerr << cnt << " " << seg.d[1][1] << '\n'; //assert(cnt == seg.d[1][1]); for(auto &&p:c[ci]){ ll ly = 0, ry = L + 1 - p.first; if(ry <= ly)continue; ans += seg.prod(ly, P - p.second, ry, 1ll << 62); } } cout << ans << '\n'; }