#include using namespace std; using ll = long long; using ull = unsigned long long; #define ALL(obj) (obj).begin(),(obj).end() #define SPEED cin.tie(0);ios::sync_with_stdio(false); template using PQ = priority_queue; template using PQR = priority_queue,greater>; constexpr long long MOD = (long long)1e9 + 7; constexpr long long MOD2 = 998244353; constexpr long long HIGHINF = (long long)1e18; constexpr long long LOWINF = (long long)1e15; constexpr long double PI = 3.1415926535897932384626433; template vector multivector(size_t N,T init){return vector(N,init);} template auto multivector(size_t N,T... t){return vector(N,multivector(t...));} template void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}} template ostream &operator<<(ostream &o, const map&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;} template ostream &operator<<(ostream &o, const set&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;} template ostream &operator<<(ostream &o, const multiset&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;} template ostream &operator<<(ostream &o, const vector&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;} template ostream &operator<<(ostream &o, const pair&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;} void print(void) {cout << endl;} template void print(Head&& head) {cout << head;print();} template void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward(tail)...);} template void chmax(T& a, const T b){a=max(a,b);} template void chmin(T& a, const T b){a=min(a,b);} void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;} void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;} void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;} //Seat Pressure O(NlogN) template vector Zarts(const vector & ar, int cnt = 0) { vector res; map mp; for (auto &e : ar) mp[e] = 0; for (auto &e : mp) e.second = cnt++; for (auto &e : ar) res.push_back(mp[e]); return res; } //verify https://atcoder.jp/contests/abc036/tasks/abc036_c template class LazySegmentTree { Operator Op; //Operator 演算子、型、単位元を持つ using typeNode = decltype(Op.unitNode); //nodeの型 using typeLazy = decltype(Op.unitLazy); //lazyの型 size_t length; //セグメント木の最下段の要素の数(vectorの要素の数を超える2べきの数) size_t height; //セグメント木の高さ vector node; //node vector lazy; //lazy vector width; //width public: //unitで初期化 LazySegmentTree(const size_t num) { for (length = 1,height = 0; length < num; length *= 2, height++); node.resize(2 * length, Op.unitNode); lazy.resize(2 * length, Op.unitLazy); width.resize(2 * length, 0); for (int i = 0; i < num; ++i) node[i + length] = Op.unitNode; for (int i = length - 1; i >= 0; --i) node[i] = Op.funcNode(node[(i<<1)+0],node[(i<<1)+1]); for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k; } // //同じinitで初期化 LazySegmentTree(const size_t num, const typeNode init) { for (length = 1,height = 0; length < num; length *= 2, height++); node.resize(2 * length, Op.unitNode); lazy.resize(2 * length, Op.unitLazy); for (int i = 0; i < num; ++i) node[i + length] = init; for (int i = length - 1; i >= 0; --i) node[i] = Op.funcNode(node[(i<<1)+0],node[(i<<1)+1]); width.resize(2 * length, 0); for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k; } //vectorで初期化 LazySegmentTree(const vector& vec) { for (length = 1,height = 0; length < vec.size(); length *= 2, height++); node.resize(2 * length, Op.unitNode); lazy.resize(2 * length, Op.unitLazy); for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i]; for (int i = length - 1; i >= 0; --i) node[i] = Op.funcNode(node[(i<<1)+0],node[(i<<1)+1]); width.resize(2 * length, 0); for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k; } void propagate(int k) { if(lazy[k] == Op.unitLazy) return; node[k] = Op.funcMerge(node[k],lazy[k],width[k]); if(k < length) lazy[2*k+0] = Op.funcLazy(lazy[2*k+0],lazy[k]); if(k < length) lazy[2*k+1] = Op.funcLazy(lazy[2*k+1],lazy[k]); lazy[k] = Op.unitLazy; } //idx : 0-indexed void update(int a, int b, typeLazy x) { int l = a + length, r = b + length - 1; for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i); for(r++; l < r; l >>=1, r >>=1) { if(l&1) lazy[l] = Op.funcLazy(lazy[l],x), propagate(l),l++; if(r&1) --r,lazy[r] = Op.funcLazy(lazy[r],x), propagate(r); } l = a + length, r = b + length - 1; while ((l>>=1),(r>>=1),l) { if(lazy[l] == Op.unitLazy) node[l] = Op.funcNode(Op.funcMerge(node[(l<<1)+0],lazy[(l<<1)+0],width[(l<<1)+0]),Op.funcMerge(node[(l<<1)+1],lazy[(l<<1)+1],width[(l<<1)+1])); if(lazy[r] == Op.unitLazy) node[r] = Op.funcNode(Op.funcMerge(node[(r<<1)+0],lazy[(r<<1)+0],width[(r<<1)+0]),Op.funcMerge(node[(r<<1)+1],lazy[(r<<1)+1],width[(r<<1)+1])); } } //[l,r) typeNode get(int a, int b) { int l = a + length, r = b + length - 1; for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i); typeNode vl = Op.unitNode, vr = Op.unitNode; for(r++; l < r; l >>=1, r >>=1) { if(l&1) vl = Op.funcNode(vl,Op.funcMerge(node[l],lazy[l],width[l])),l++; if(r&1) r--,vr = Op.funcNode(Op.funcMerge(node[r],lazy[r],width[r]),vr); } return Op.funcNode(vl,vr); } void print(){ // cout << "node" << endl; // for(int i = 1,j = 1; i < 2*length; ++i) { // cout << node[i] << " "; // if(i==((1< struct nodeSumLazyAdd { typeNode unitNode = 0; typeLazy unitLazy = 0; typeNode funcNode(typeNode l,typeNode r){return l+r;} typeLazy funcLazy(typeLazy l,typeLazy r){return l+r;} typeNode funcMerge(typeNode l,typeLazy r,int len){return l+r*len;} // LazySegmentTree> Seg(N,0); }; //node:最小 lazy:加算 template struct nodeMinLazyAdd { typeNode unitNode = 1234567890; typeLazy unitLazy = 0; typeNode funcNode(typeNode l,typeNode r){return min(l,r);} typeLazy funcLazy(typeLazy l,typeLazy r){return l+r;} typeNode funcMerge(typeNode l,typeLazy r,int len){return l+r;} // LazySegmentTree> Seg(N,0); //verify https://onlinejudge.u-aizu.ac.jp/problems/DSL_2_H }; //node:mod和 lazy:mod加算 template struct nodeModSumLazyModAdd { typeNode unitNode = 0; typeLazy unitLazy = 0; typeNode funcNode(typeNode l,typeNode r){return (l+r)%MOD;} typeLazy funcLazy(typeLazy l,typeLazy r){return (l+r)%MOD;} typeNode funcMerge(typeNode l,typeLazy r,int len){return (l+(r*len)%MOD)%MOD;} // LazySegmentTree> dp(N+3,0); //verify https://atcoder.jp/contests/code-festival-2018-quala/tasks/code_festival_2018_quala_d }; //node:最大 lazy:更新 template struct nodeMaxLazyUpdate { typeNode unitNode = 0; typeLazy unitLazy = 0; typeNode funcNode(typeNode l,typeNode r){return max(l,r);} typeLazy funcLazy(typeLazy l,typeLazy r){return r;} typeNode funcMerge(typeNode l,typeLazy r,int len){return r!=0?r*len:l;} // LazySegmentTree> Seg(N+2,0); //verify https://atcoder.jp/contests/nikkei2019-final/tasks/nikkei2019_final_d }; //node:最小 lazy:更新 template struct nodeMinLazyUpdate { typeNode unitNode = 12345678910; typeLazy unitLazy = 0; typeNode funcNode(typeNode l,typeNode r){return min(l,r);} typeLazy funcLazy(typeLazy l,typeLazy r){return r;} typeNode funcMerge(typeNode l,typeLazy r,int len){return r!=0?r*len:l;} //LazySegmentTree> Seg(N,HIGHINF,0); //verify https://atcoder.jp/contests/code-festival-2018-final/tasks/code_festival_2018_final_e }; //node:GCD lazy:更新 template struct nodeGCDLazyUpdate { typeNode unitNode = 0; typeLazy unitLazy = 0; typeNode funcNode(typeNode l,typeNode r){return ((r == 0) ? l : funcNode(r, l % r));} typeLazy funcLazy(typeLazy l,typeLazy r){return r;} typeNode funcMerge(typeNode l,typeLazy r,int len){return r!=0?r:l;} // LazySegmentTree> Seg(A); //verify https://atcoder.jp/contests/abc125/tasks/abc125_c }; //node:総和 lazy:更新 template struct nodeSumLazyUpdate { typeNode unitNode = 0; typeLazy unitLazy = -2000; typeNode funcNode(typeNode l,typeNode r){return l+r;} typeLazy funcLazy(typeLazy l,typeLazy r){return r;} typeNode funcMerge(typeNode l,typeLazy r,int len){return r!=-2000?r*len:l;} // LazySegmentTree> Seg(N,0,-2000,0); //verify https://onlinejudge.u-aizu.ac.jp/problems/DSL_2_I }; int main() { ll N,K; cin >> N >> K; vector A(N),B(N),C; for(int i = 0; i < N; ++i) cin >> A[i] >> B[i]; for(int i = 0; i < N; ++i) { C.push_back(A[i]); C.push_back(B[i]+1); } auto Z = Zarts(C); ll M = *max_element(ALL(Z)) + 1; LazySegmentTree> Seg(M,0); for(int i = 0; i < N; ++i) { Seg.update(Z[2*i],Z[2*i+1],1); } vector D(M); for(int i = 0; i < N; ++i) { D[Z[2*i]]=C[2*i]; D[Z[2*i+1]]=C[2*i+1]; } for(int i = 0; i+1 < M; ++i) { ll X = Seg.get(i,i+1); ll L = D[i], R = D[i+1]; ll Y = R - L; if(Y*X1){ md=(ok+ng)/2; (md*X>=K?ok:ng)=md; } cout << L-1+ok << endl; return 0; } } return 0; }