#line 1 "main.cpp" //#pragma GCC target("avx,avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include #ifdef LOCAL #include #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (static_cast(0)) #endif using namespace std; using ll = long long; using ld = long double; using pll = pair; using pii = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vpii = vector; using vpll = vector; using vs = vector; template using pq = priority_queue, greater>; #define overload4(_1, _2, _3, _4, name, ...) name #define overload3(a,b,c,name,...) name #define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER) #define rep2(i, n) for (ll i = 0; i < (n); ++i) #define rep3(i, a, b) for (ll i = (a); i < (b); ++i) #define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for(ll i = (n) - 1;i >= 0;i--) #define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--) #define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--) #define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all1(i) begin(i) , end(i) #define all2(i,a) begin(i) , begin(i) + a #define all3(i,a,b) begin(i) + a , begin(i) + b #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) template bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; } template auto min(const T& a){return *min_element(all(a));} template auto max(const T& a){return *max_element(all(a));} template void in(Ts&... t); #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; in(__VA_ARGS__) #define VEC(type, name, size) vector name(size); in(name) #define VV(type, name, h, w) vector> name(h, vector(w)); in(name) ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;} ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);} ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;} void Yes() {cout << "Yes\n";return;} void No() {cout << "No\n";return;} void YES() {cout << "YES\n";return;} void NO() {cout << "NO\n";return;} namespace IO{ #define VOID(a) decltype(void(a)) struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting; template struct P : P{}; template<> struct P<0>{}; template void i(T& t){ i(t, P<3>{}); } void i(vector::reference t, P<3>){ int a; i(a); t = a; } template auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; } template auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); } template void ituple(T& t, index_sequence){in(get(t)...);} template auto i(T& t, P<0>) -> VOID(tuple_size{}){ituple(t, make_index_sequence::value>{});} #undef VOID } #define unpack(a) (void)initializer_list{(a, 0)...} template void in(Ts&... t){ unpack(IO :: i(t)); } #undef unpack static const double PI = 3.1415926535897932; template struct REC { F f; REC(F &&f_) : f(forward(f_)) {} template auto operator()(Args &&...args) const { return f(*this, forward(args)...); }}; constexpr int mod = 998244353; //constexpr int mod = 1000000007; #line 2 "library/graph/graph-template.hpp" template struct Edge { int from, to; T cost; Edge() = default; Edge(int _to, T _cost) : from(-1), to(_to), cost(_cost) {} Edge(int _from, int _to, T _cost) : from(_from), to(_to), cost(_cost) {} bool operator < (const Edge &a) const { return cost < a.cost; } bool operator > (const Edge &a) const { return cost > a.cost; } Edge &operator = (const int &x) { to = x; return *this; } operator int() const { return to; } friend ostream operator<<(ostream &os, Edge &edge) { return os << edge.to; } }; template using Edges = vector>; template using Wgraph = vector>; using Ugraph = vector>; Ugraph uinput(int N, int M = -1, bool is_directed = false, int origin = 1) { Ugraph g(N); if (M == -1) M = N - 1; while(M--) { int a,b; cin >> a >> b; a -= origin, b -= origin; g[a].push_back(b); if(!is_directed) g[b].push_back(a); } return g; } template Wgraph winput(int N, int M = -1, bool is_directed = false,int origin = 1) { Wgraph g(N); if (M == -1) M = N - 1; while(M--) { int a,b; T c; cin >> a >> b >> c; a -= origin, b -= origin; g[a].emplace_back(b,c); if(!is_directed) g[b].emplace_back(a,c); } return g; } #line 3 "library/tree/tree-query.hpp" //1<<20頂点まで template struct Tree { G& g; int root; vector> bl; vector dp; void build() { bl.resize(g.size()); dp.resize(g.size()); for (auto &v:bl) fill(begin(v),end(v),-1); dfs(root, -1, 0); } void dfs(int c, int p, int _dp) { dp[c] = _dp; for (int i = p, x = 0; i != -1;) { bl[c][x] = i; i = bl[i][x], x++; } for (auto& d : g[c]) { if (d == p) continue; dfs(d, c, _dp + 1); } } public: Tree(G& _g, int _r = 0) : g(_g), root(_r) { build(); } int depth(int u) const { return dp[u]; } int par(int u) const { return u == root ? -1 : bl[u][0]; } int kth_ancestor(int u, int k) const { if (dp[u] < k) return -1; while (k) { int t = __builtin_ctz(k); u = bl[u][t], k ^= 1 << t; } return u; } int nxt(int s, int t) const { if (dp[s] >= dp[t]) return par(s); int u = kth_ancestor(t, dp[t] - dp[s] - 1); return bl[u][0] == s ? u : bl[s][0]; } vector path(int s, int t) const { vector pre, suf; while (dp[s] > dp[t]) { pre.push_back(s); s = bl[s][0]; } while (dp[s] < dp[t]) { suf.push_back(t); t = bl[t][0]; } while (s != t) { pre.push_back(s); suf.push_back(t); s = bl[s][0]; t = bl[t][0]; } pre.push_back(s); reverse(begin(suf), end(suf)); copy(begin(suf), end(suf), back_inserter(pre)); return pre; } int lca(int u, int v) { if (dp[u] != dp[v]) { if (dp[u] > dp[v]) swap(u, v); v = kth_ancestor(v, dp[v] - dp[u]); } if (u == v) return u; for (int i = __lg(dp[u]); i >= 0; --i) { if (dp[u] < (1 << i)) continue; if (bl[u][i] != bl[v][i]) u = bl[u][i], v = bl[v][i]; } return bl[u][0]; } //st-gl間より長い距離をjumpしようとすると-1が返ってくる int jump(int st,int gl,int distance) const { int ancestor = lca(st,gl); int path_distance = dp[st] + dp[gl] - 2 * dp[ancestor]; if(path_distance < distance) return -1; if(dp[st] - dp[ancestor] >= distance) return kth_ancestor(st,distance); return kth_ancestor(gl,path_distance - distance); } }; #line 90 "main.cpp" int main() { INT(n,k); vi L(n),R(n); rep(i,n) cin >> L[i] >> R[i]; vi ord(n); iota(all(ord),0); sort(all(ord),[&](int x,int y){return R[x] < R[y];}); queue q; vvi g(n+1); rep(i,n) { while(!q.empty() && R[ord[q.front()]] <= L[ord[i]]) { int pre = q.front(); q.pop(); g[ord[pre]].emplace_back(ord[i]); g[ord[i]].emplace_back(ord[pre]); } q.emplace(i); } while(!q.empty()) { int pre = q.front(); q.pop(); g[ord[pre]].emplace_back(n); g[n].emplace_back(ord[pre]); } debug(g); Tree tree(g,n); int ans = 2e9; rep(i,n) { int anc = tree.kth_ancestor(i,k-1); if(anc == n || anc == -1) continue; chmin(ans,R[anc] - L[i]); } if(ans == (int)2e9) cout << -1 << '\n'; else cout << ans << '\n'; }