#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using VI = vector<ll>;
using VV = vector<VI>;
using VS = vector<string>;

// tourist set
template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) {
  return '"' + s + '"';
}

string to_string(const char* s) {
  return to_string((string) s);
}

string to_string(bool b) {
  return (b ? "true" : "false");
}

string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}

template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}

template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << '\n'; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}

#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
// tourist set end

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }

#define FOR(i,a,b) for(ll i=(a);i<(b);++i)
#define rep(i,b) FOR(i, 0, b)
#define ALL(v) (v).begin(), (v).end()
#define p(s) cout<<(s)<<'\n'
#define p2(s, t) cout << (s) << " " << (t) << '\n'
#define br() p("")
#define pn(s) cout << (#s) << " " << (s) << '\n'
#define p_yes() p("YES")
#define p_no() p("NO")
#define SZ(x) ((int)(x).size())

void no(){p_no(); exit(0);}
void yes(){p_yes(); exit(0);}

const ll mod = 1e9 + 7;
const ll inf = 1e18;

using pll = pair<ll, ll>;

vector<pll> connect(vector<pll>& A){
  stack<pll> sta;
  ll N = A.size();
  rep(i, N){
    if(sta.size()==0){
      sta.push(A[i]);
    }else{
      if(sta.top().second == A[i].first){
        // 連結
        pll p = make_pair(sta.top().first, A[i].second);
        sta.pop();
        sta.push(p);
      }
      else{
        sta.push(A[i]);
      }
    }
  }
  vector<pll> ret;
  while(sta.size()>0){
    ret.push_back(sta.top()); sta.pop();
  }
  reverse(ALL(ret));
  return ret;
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);

    // input
    ll N, C;
    cin >> N >> C;

    vector<pair<ll, ll>> A[30];

    rep(i, N){
      ll s,t,c;
      cin >> s >> t >> c;
      c--;
      A[c].push_back(make_pair(s, t));
    }
    rep(i, C){
      sort(ALL(A[i]));
      debug(i, A[i]);
      A[i] = connect(A[i]);
    }

    VI T(100010); // timeline
    rep(i, C){
      for(auto pa : A[i]){
        ll start = pa.first - 1;
        ll end = pa.second;
        // p2(start, end);
        T[start]++;
        T[end]--;
      }
    }
    // rep(i, 80){
    //   cout << T[i] << ' ';
    // }
    // cout << endl;
    
    ll ma = 0;
    // imos
    rep(i, 100010){
      if(i>0){
        T[i] += T[i-1];
      }
      chmax(ma, T[i]);
    }
    p(ma);
    
    return 0;
}

Measured memory_bytes: 3556