#include <bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i,n) for(int (i)=0;(i)<(n);(i)++)
#define rrep(i,n) for(int (i)=((n)-1);(i)>=0;(i)--)
#define itn int
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
using P = pair <int,int>;
using WeightedGraph = vector<vector <P>>; //to cost
using UnWeightedGraph = vector<vector<int>>;
const long long INF = 1LL << 60;
const int MOD = 1000000007;
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
#define DUMPOUT cerr
#define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
template <typename T, typename U>
istream &operator>>(istream &is, pair<T,U> &p_var) {
    is >> p_var.first >> p_var.second;
    return is;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &vec) {
    for (T &x : vec) is >> x;
    return is;
}
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &df) {
    for(int i=0;i<df.size();i++)for(int j=0;j<df[i].size();j++)
    is >> df[i][j];
    return is;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, pair<T, U> &pair_var) {
    DUMPOUT<<'{';
    os << pair_var.first;
    DUMPOUT<<',';
    os << " "<< pair_var.second;
    DUMPOUT<<'}';
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &vec) {
    DUMPOUT<<'[';
    for (int i = 0; i < vec.size(); i++) 
    os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    DUMPOUT<<']';
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &df) {
  for (auto& vec : df) os<<vec;
  return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, map<T, U> &map_var) {
    DUMPOUT << "{";
    repi(itr, map_var) {
        os << *itr;
        itr++;
        if (itr != map_var.end()) DUMPOUT << ", ";
        itr--;
    }
    DUMPOUT << "}";
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, set<T> &set_var) {
    DUMPOUT << "{";
    repi(itr, set_var) {
        os << *itr;
        itr++;
        if (itr != set_var.end()) DUMPOUT << ", ";
        itr--;
    }
    DUMPOUT << "}";
    return os;
}
void print() {cout << endl;}
template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
  cout << head;
  if (sizeof...(tail) != 0) cout << " ";
  print(forward<Tail>(tail)...);
}
void dump_func() {DUMPOUT << '#'<<endl;}
template <typename Head, typename... Tail>
void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(std::move(tail)...);
}
#ifdef DEBUG_
#define DEB
#define dump(...)                                                              \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                            \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]"        \
            << endl                                                            \
            << "    ",                                                         \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
struct LazySegTree{ // add and max
    int n;
    vector <int> node, lazy;
   
    LazySegTree(vector <int> v){
        int sz = v.size();
        n = 1;
        while(n<sz) n*=2;
        node.resize(2*n-1);
        lazy.resize(2*n-1, 0);
        for(int i=0; i<sz; i++) node[i+n-1] = v[i]; //一番下側
        for(int i=n-2;i>=0;i--) node[i] = max(node[2*i+1], node[2*i+2]);
    }
    void eval(int k,int l, int r){
        if(lazy[k] != 0){
            node[k] += lazy[k];
            if(r - l >1){
                lazy[2*k+1] += lazy[k];
                lazy[2*k+2] += lazy[k];
            }
            lazy[k] = 0;
        }
    }
    void add(int a, int b, int x, int k=0, int l=0, int r=-1) {
        
        if(r < 0) r = n;
        eval(k, l, r);
        if(b <= l || r <= a) return;
        if(a <= l && r <= b) {
            lazy[k] += x;
            eval(k, l, r);
        }
        else {
            add(a, b, x, 2*k+1, l, (l+r)/2);
            add(a, b, x, 2*k+2, (l+r)/2, r);
            node[k] = max(node[2*k+1], node[2*k+2]);
            //chmax(node[k], max(node[2*k+1],node[2*k+2]));
        }
    }
    int getmax(int a, int b, int k=0, int l=0, int r=-1) {
        if(r < 0) r = n;
        if(b <= l || r <= a) return -INF;
        eval(k, l, r);
        if(a <= l && r <= b) return node[k];
        int vl = getmax(a, b, 2*k+1, l, (l+r)/2);
        int vr = getmax(a, b, 2*k+2, (l+r)/2, r);
        return max(vl, vr);
    }
};
signed main(void){
    int n,c; cin>>n>>c;
    
    vector <int> a(114514);
    
    vector <LazySegTree> Lseg(c, a);
    rep(i,n){
        int s,t,c; cin>>s>>t>>c;
        c--;
        Lseg[c].add(s,t+1,1);
    }
    
    int ans = 0;
    rep(i,100005){
        int cnt = 0;
        rep(j,c){
            if(Lseg[j].getmax(i,i+1)) cnt++;
        }
        chmax(ans, cnt);
    }
    cout<<ans<<endl;
}


Measured memory_bytes: 129280