#include using namespace std; #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define bit(n) (1LL<<(n)) #define sz(x) ((int)(x).size()) #define TEN(n) ((ll)(1e##n)) #define fst first #define snd second string DBG_DLM(int &i){return(i++==0?"":", ");} #define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;} templateostream&operator<<(ostream&os,vectorv); templateostream&operator<<(ostream&os,setv); templateostream&operator<<(ostream&os,queueq); templateostream&operator<<(ostream&os,priority_queueq); templateostream&operator<<(ostream&os,pairp); templateostream&operator<<(ostream&os,mapmp); templateostream&operator<<(ostream&os,unordered_mapmp); templatevoid DBG(ostream&os,TPL t){} templatevoid DBG(ostream&os,TPL t){os<<(I==0?"":", ")<(t);DBG(os,t);} templatevoid DBG(ostream&os,pairp,string delim){os<<"("<ostream&operator<<(ostream&os,tuplet){os<<"(";DBG<0,tuple,Ts...>(os,t);os<<")";return os;} templateostream&operator<<(ostream&os,pairp){DBG(os,p,", ");return os;} templateostream&operator<<(ostream&os,vectorv){DBG_B(forr(t,v){os<ostream&operator<<(ostream&os,sets){DBG_B(forr(t,s){os<ostream&operator<<(ostream&os,queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,priority_queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,mapm){DBG_B(forr(p,m){os<");});} templateostream&operator<<(ostream&os,unordered_mapm){DBG_B(forr(p,m){os<");});} #define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name #define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<;using pll=pair;using pil=pair;using pli=pair; using vs=vector;using vvs=vector;using vvvs=vector; using vb=vector;using vvb=vector;using vvvb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; templatebool amax(A&a,const B&b){return b>a?a=b,1:0;} templatebool amin(A&a,const B&b){return b>l;return l;} string rs(){string s;cin>>s;return s;} template struct BinaryIndexedTree0 { const int N; vector val; BinaryIndexedTree0(int N) : N(N), val(N) {} T sum(int i) const { T s = 0; --i; if (i >= N) i = N - 1; for (; i >= 0; i = (i & (i + 1)) - 1) s += val[i]; return s; } T sum(int l, int r) const { return sum(r) - sum(l); } void add(int i, T x) { for (; i < N; i |= i + 1) val[i] += x; } void set(int i, T x) { T c = sum(i, i + 1); add(i, x - c); } int lower_bound(T w) const { int x = 0; for (int k = (1 << (31 - __builtin_clz(N))) - 1; ; k >>= 1) { if (x + k < N && val[x + k] < w) { w -= val[x + k]; x += k + 1; } if (k == 0) break; } return x; } }; void Main() { int n = ri(), m = ri(); int p3 = 0; vvpii A(3), D(3); rep(i, n) { int x = ri(), a = ri(), b = ri(); if (x == 3) p3++; else { A[x].emplace_back(a, b); D[x].emplace_back(a, b); } } rep(i, 3) { sort(all(A[i])); sort(all(D[i]), greater()); } BinaryIndexedTree0 ft1(100010); BinaryIndexedTree0 ft2(100010); forr(ab, A[1]) ft2.add(ab.snd, 1); forr(ab, A[0]) ft1.add(ab.snd, 1); out(p3); int q3 = sz(A[2]); int ans = 1e9; out(D[0]); out(D[1]); out(D[2]); rep(a, 1, 100002) { while (sz(D[0]) && D[0].back().fst < a) { int b = D[0].back().snd; ft1.add(b, -1); D[0].pop_back(); } while (sz(D[1]) && D[1].back().fst < a) { int b = D[1].back().snd; ft2.add(b, -1); ft1.add(b, 1); D[1].pop_back(); } while (sz(D[2]) && D[2].back().fst < a) { q3--; int b = D[2].back().snd; ft2.add(b, 1); D[2].pop_back(); } auto cnt = [&](int x) -> int { int f1 = ft1.sum(x, 100002); int f2 = ft2.sum(100002); out(x, f1, f2, q3, p3); return f1+f2+q3+p3; }; int lim; { auto check = [&](int x) -> bool { return cnt(x) >= m; }; int ok = 0; int ng = 100003; while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; bool c = check(mid); if (c) ok = mid; else ng = mid; } lim = ok; } int ccc = cnt(lim); if (ccc >= m) { out(ccc); int cand = ft2.sum(lim, 100003) + q3 + p3; out(a, lim, cand); amin(ans, cand); } } cout << ans << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }