#ifdef LOCAL111 #define _GLIBCXX_DEBUG #else #define NDEBUG #endif #define _USE_MATH_DEFINES #include const int INF = 1e9; using namespace std; template ostream& operator<< (ostream& os, const pair& p) { cout << '(' << p.first << ' ' << p.second << ')'; return os; } #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} #else #define DEBUG(x) true template void dpite(T a, T b){ return; } #endif #define F first #define S second #define SNP string::npos #define WRC(hoge) cout << "Case #" << (hoge)+1 << ": " template void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef long long cost_t; class Edge { public: int to = -1, from = -1, rev = -1; cost_t cost = -1; Edge(){ } Edge(int x,cost_t y){ to = x; cost = y; } Edge(int x, int y, cost_t z){ from = x; to = y; cost = z; } Edge(int x, int y, int r, cost_t z){ from = x; to = y; cost = z; rev = r; } bool operator< (const Edge& x) const { if(cost != x.cost) return cost < x.cost; return to < x.to; } bool operator> (const Edge& x) const { if(cost != x.cost) return cost > x.cost; return to > x.to; } }; class Graph { private: typedef vector Edges; //const long long int INF = (long long)1e18; vector v; int n; public: Graph(int x){ n = x; v = vector(x); } Graph(){} Edges& operator[](int x){ return v[x]; } const Edges& operator[](int x) const { return v[x]; } int size() const { return n; } void add_edge(int from, Edge e){ v[from].push_back(e); } void add_edge(int from, int to, cost_t cost = -1, int rev = -1){ add_edge(from,Edge(from,to,rev,cost)); } void add_uedge(int from, int to, cost_t cost = -1){ add_edge(from,to,cost); add_edge(to,from,cost); } }; void vizGraph(const Graph &g, bool with_dir = false, bool with_cap = false){ ofstream ofs("./out.dot"); if(with_dir) ofs << "graph graph_name {" << endl; else ofs << "digraph graph_name {" << endl; for(int i = 0; i < (int)g.size(); ++i) { ofs << " " << i << '[' << endl; ofs << " " << "];" << endl << endl; } for(int i = 0; i < (int)g.size(); ++i){ if (!g[i].size()) continue; for(const auto &e : g[i]){ if(with_dir){ if(e.to > i) ofs << " " << i << " -- " << e.to ; }else ofs << " " << i << " -> " << e.to ; if (with_cap) { ofs << " [ label = " << (e.cost == INF ? "inf" : to_string(e.cost)) << "];"; } if(!with_dir or e.to > i)ofs << endl; } } ofs << "}" << endl; ofs.close(); system("dot -T png out.dot > sample.png"); } //未検証 vector toposort(const Graph &g) { int n = g.size(); vector res; res.reserve(n); vector used(n,false); function rec = [&](int p){ if(used[p]) return; used[p] = true; for(auto&& e : g[p]) { rec(e.to); } res.push_back(p); }; for(int i = 0; i < n; ++i) { if(!used[i]) rec(i); } return res; } //library tuple,int> SCC(const Graph &g) { int n = g.size(); vector used(n,false); vector cmp(g.size()); Graph rg(n); for(int i = 0; i < n; ++i) { for(auto&& e : g[i]) { rg.add_edge(e.to,i,e.cost); } } vector vs; vs.reserve(g.size()); function dfs = [&](int v){ used[v] = true; for(auto&& e : g[v]) { if(!used[e.to]) dfs(e.to); } vs.push_back(v); }; function rdfs = [&](int v, int k){ used[v] = true; cmp[v] = k; for(auto&& e : rg[v]) { if(!used[e.to]) rdfs(e.to,k); } }; for(int v = 0; v < n; ++v) { if(!used[v]) dfs(v); } fill(used.begin(), used.end(), false); int k = 0; for(int i = n-1; i >= 0; --i) { if(!used[vs[i]]) rdfs(vs[i], k++); } return make_tuple(cmp,k); } Graph getSCCGraph(const Graph &g, vector cmp, int k){ Graph res(k); for(int p = 0; p < (int)g.size(); ++p) { for(auto&& e : g[p]) { res.add_edge(cmp[p],cmp[e.to],e.cost,e.rev); } } return res; } //liblary //Graph, toposort, scc に依存 class TwoSATsolver{ private: Graph g; int center; public: TwoSATsolver(int n){ center = n; g = Graph(2*n+1); } int f(int x){ return center+x; } void add_clause(int x, int y){ g.add_edge(f(-y),f(x)); g.add_edge(f(-x),f(y)); } //充足不可能なら空のvectorを返す vector solve(){ // vizGraph(g); vector cmp; int k; tie(cmp,k) = SCC(g); Graph retg = getSCCGraph(g,cmp,k); for(int i = 1; i <= center; ++i) { if(cmp[f(i)] == cmp[f(-i)]){ return vector(); } } vector res(center+1); vector topo = toposort(retg); dpite(ALL(topo)); vector rtopo(k); for(int i = 0; i < k; ++i) { rtopo[topo[i]] = i; } for(int i = 1; i <= center; ++i) { int cmpi = cmp[f(i)]; int cmpni = cmp[f(-i)]; assert(rtopo[cmpi] != rtopo[cmpni]); if(rtopo[cmpi] > rtopo[cmpni]){ res[i] = false; }else{ res[i] = true; } } return res; } }; typedef long long int LL; typedef unsigned long long ULL; typedef pair P; void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } int main() { ios_init(); int n,m; while(cin >> n >> m) { vector

lr(n); REP(i,n) cin >> lr[i].F >> lr[i].S; auto rev = [&](P p) -> P{ return {m-1-p.S,m-1-p.F}; }; auto intersect = [&](P x, P y) -> bool{ return (x.F <= y.F and y.F <= x.S) or (x.F <= y.S and y.S <= x.S); }; TwoSATsolver s(n); REP(i,n) REP(j,i){ P r1 = lr[i]; P r2 = lr[j]; if(intersect(r1,r2)){ DEBUG(1); s.add_clause(-(i+1),-(j+1)); } if(intersect(r1,rev(r2))){ DEBUG(2); s.add_clause(-(i+1),(j+1)); } if(intersect(rev(r1),r2)){ DEBUG(3); s.add_clause((i+1),-(j+1)); } if(intersect(rev(r1),rev(r2))){ DEBUG(4); s.add_clause((i+1),(j+1)); } } auto ret = s.solve(); dpite(ALL(ret)); if(ret.size() == 0){ cout << "NO" << endl; }else{ cout << "YES" << endl; } } return 0; }