#include #include #include #include using namespace std; struct StronglyConnectedComponents { vector> gg, rg; vector comp, order, seen; StronglyConnectedComponents(int v) : \ gg(v), rg(v), comp(v, -1), seen(v, 0) { } void add_edge(int x, int y) { gg[x].emplace_back(y); rg[y].emplace_back(x); } int operator[](int k) { return comp[k]; } void dfs(int u) { seen[u] = true; for (int v: gg[u]) if (!seen[v]) dfs(v); order.emplace_back(u); } void rdfs(int u, int id) { comp[u] = id; for (int v: rg[u]) if (comp[v] == -1) rdfs(v, id); } vector> build() { for (int u = 0; u < gg.size(); ++u) if (!seen[u]) dfs(u); reverse(begin(order), end(order)); int id = 0; for (int u: order) if (comp[u] == -1) rdfs(u, id++); vector> g_comp(id); set> connect; for (int u = 0; u < gg.size(); ++u) for (int v: gg[u]) { int x = comp[u], y = comp[v]; if (x == y) continue; if (connect.count({x, y})) continue; g_comp[x].emplace_back(y); connect.emplace(x, y); } return g_comp; } }; struct TwoSatisfiability : StronglyConnectedComponents { int sz; TwoSatisfiability(int v) : StronglyConnectedComponents(v + v), sz(v) {} void add_if(int u, int v) { // u -> v <=> ¬v -> ¬u add_edge(u, v); add_edge(neg(v), neg(u)); } void add_or(int u, int v) { add_if(neg(u), v); } // u or v <=> ¬u -> v void add_nand(int u, int v) { add_if(u, neg(v)); } // ¬(u ∧ v) <=> u -> ¬v void set_true(int v) { add_edge(neg(v), v); } // v <=> ¬v -> v void set_false(int v) { add_edge(v, neg(v)); } // ¬v <=> v -> ¬v int neg(int x) { return (x + sz) % (sz * 2); } bool solve() { build(); for (int i = 0; i < sz; i++) { if ((*this)[i] == (*this)[neg(i)]) return false; } return true; } }; int main() { int n, m; cin >> n >> m; vector l(n), r(n); for (int i = 0; i < n; i++) cin >> l[i] >> r[i], r[i]++; TwoSatisfiability ts(n); auto lap = [&](int al, int ar, int bl, int br) { return max(al, bl) < min(ar, br); }; #define ___(a, b) a, b #define REV(a, b) m - b, m - a #define NOT(i) ts.neg(i) for (int i = 0; i < n; i++) for (int j = 0; j < i; j++) { if (lap(___(l[i], r[i]), ___(l[j], r[j]))) ts.add_nand(i, j); if (lap(___(l[i], r[i]), REV(l[j], r[j]))) ts.add_nand(i, NOT(j)); if (lap(REV(l[i], r[i]), ___(l[j], r[j]))) ts.add_nand(NOT(i), j); if (lap(REV(l[i], r[i]), REV(l[j], r[j]))) ts.add_nand(NOT(i), NOT(j)); } cout << (ts.solve() ? "YES" : "NO") << endl; return 0; }