#include <bits/stdc++.h>
using namespace std;

# define REP(i,n) for (int i=0;i<(n);++i)
# define rep(i,a,b) for(int i=a;i<(b);++i)
# define p(s) std::cout << s ;
# define pl(s)  std::cout << s << endl;
# define printIf(j,s1,s2) cout << (j ? s1 : s2) << endl;
# define YES(j) cout << (j ? "YES" : "NO") << endl;
# define Yes(j) std::cout << (j ? "Yes" : "No") << endl;
# define yes(j) std::cout << (j ? "yes" : "no") << endl;
# define all(v) v.begin(),v.end()
# define showVector(v) REP(i,v.size()){p(v[i]);p(" ")} pl("")
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;}
typedef long long int ll;
typedef pair<ll,ll> P_ii;
typedef pair<double,double> P_dd;

template<class T>
vector<T> make_vec(size_t a){
    return vector<T>(a);
}

template<class T, class... Ts>
auto make_vec(size_t a, Ts... ts){
  return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}

template<typename T,typename V>
typename enable_if<is_class<T>::value==0>::type
fill_v(T &t,const V &v){t=v;}

template<typename T,typename V>
typename enable_if<is_class<T>::value!=0>::type
fill_v(T &t,const V &v){
  for(auto &e:t) fill_v(e,v);
}


const int MOD = 1000000007;
const int inf=1e9+7;
const ll longinf=1LL<<60 ;

void addM(long long &a, long long b) {
    a += b;
    if (a >= MOD) a -= MOD;
}

void mulM(long long &a, long long b) {
    a = ((a%MOD)*(b%MOD))%MOD ;
}

// テーブルを作る前処理
const int MAX = 510000;
long long fac[MAX], finv[MAX], inv[MAX];
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}

// 二項係数計算
long long COM(ll n, ll k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}

vector<pair<long long, long long> > prime_factorize(long long n) {
    vector<pair<long long, long long> > res;
    for (long long p = 2; p * p <= n; ++p) {
        if (n % p != 0) continue;
        ll num = 0;
        while (n % p == 0) { ++num; n /= p; }
        res.push_back(make_pair(p, num));
    }
    if (n != 1) res.push_back(make_pair(n, 1));
    return res;
}

int main() {
    int N,CH;
    cin >> N >> CH;

    vector<int> s(N);
    vector<int> t(N);
    vector<int> c(N);

    REP(i,N) cin >> s[i] >> t[i] >> c[i];

    vector<int> ord(N);
    iota(all(ord),0);
    sort(all(ord),[&](int x,int y){
        if(c[x]==c[y]) return t[x]<t[y];
        return c[x]<c[y];
    });

    vector<int> S;
    vector<int> T;
    vector<int> C;

    S.push_back(s[ord[0]]);
    T.push_back(t[ord[0]]);
    C.push_back(c[ord[0]]);
    REP(i,ord.size()-1){
        int j = ord[i];
        int k = ord[i+1];

        if(c[j]==c[k] && t[j]==s[k]){
            T[T.size()-1] = t[k];
        } else {
            S.push_back(s[k]);
            T.push_back(t[k]);
            C.push_back(c[k]);
        }
    }

    vector<int> sum(1e5+5,0);
    REP(i,S.size()){
        sum[S[i]]++;
        sum[T[i]+1]--;
    }

    int ans = 0;
    REP(i,1e5+1){
        sum[i+1] += sum[i];
        chmax(ans,sum[i+1]);
    }

    pl(ans)
    
    return 0;
}


Measured memory_bytes: 3692