// https://atcoder.jp/contests/abc080/tasks/abc080_d
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define REP(i, n) FOR(i, 0, n)
#define FOR(i, s, n) for (int i = (s), i##_len = (n); i < i##_len; ++i)
#define ALL(obj) (obj).begin(), (obj).end()
#define ALLR(obj) (obj).rbegin(), (obj).rend()

#define isvisiblechar(c) (0x21 <= (c) && (c) <= 0x7E)
#define cin scanner
#define cout printer
namespace {
class MaiScanner {
  public:
    template <typename T> void input_integer(T &var) {
        var = 0;
        T sign = 1;
        int cc = getchar_unlocked();
        for (; cc < '0' || '9' < cc; cc = getchar_unlocked())
            if (cc == '-')
                sign = -1;
        for (; '0' <= cc && cc <= '9'; cc = getchar_unlocked())
            var = (var << 3) + (var << 1) + cc - '0';
        var = var * sign;
    }
    inline int c() { return getchar_unlocked(); }
    inline MaiScanner &operator>>(int &var) {
        input_integer<int>(var);
        return *this;
    }
    inline MaiScanner &operator>>(long long &var) {
        input_integer<long long>(var);
        return *this;
    }
    inline MaiScanner &operator>>(string &var) {
        int cc = getchar_unlocked();
        for (; !isvisiblechar(cc); cc = getchar_unlocked())
            ;
        for (; isvisiblechar(cc); cc = getchar_unlocked())
            var.push_back(cc);
        return *this;
    }
    template <typename IT> void in(IT begin, IT end) {
        for (auto it = begin; it != end; ++it)
            *this >> *it;
    }
};
class MaiPrinter {
  public:
    template <typename T> void output_integer(T var) {
        if (var == 0) {
            putchar_unlocked('0');
            return;
        }
        if (var < 0)
            putchar_unlocked('-'), var = -var;
        char stack[32];
        int stack_p = 0;
        while (var)
            stack[stack_p++] = '0' + (var % 10), var /= 10;
        while (stack_p)
            putchar_unlocked(stack[--stack_p]);
    }
    inline MaiPrinter &operator<<(char c) {
        putchar_unlocked(c);
        return *this;
    }
    inline MaiPrinter &operator<<(int var) {
        output_integer<int>(var);
        return *this;
    }
    inline MaiPrinter &operator<<(long long var) {
        output_integer<long long>(var);
        return *this;
    }
    inline MaiPrinter &operator<<(char *str_p) {
        while (*str_p)
            putchar_unlocked(*(str_p++));
        return *this;
    }
    inline MaiPrinter &operator<<(const string &str) {
        const char *p = str.c_str();
        const char *l = p + str.size();
        while (p < l)
            putchar_unlocked(*p++);
        return *this;
    }
    template <typename IT> void join(IT begin, IT end, char sep = ' ') {
        for (bool b = 0; begin != end; ++begin, b = 1)
            b ? *this << sep << *begin : *this << *begin;
    }
};
} // namespace
MaiScanner scanner;
MaiPrinter printer;

int main() {
    int N, C;
    cin >> N >> C;
    vector<vector<pair<int, int>>> v(C);
    vector<int> dp(100001);

    REP(i, N) {
        int a, b, c;
        cin >> a >> b >> c;
        v[c - 1].push_back({a, b});
    }
    REP(i, C) {
        sort(ALL(v[i]));
        unordered_map<int, int> mp;
        for (auto &x : v[i]) {
            if (mp[x.first] > 0) {
                mp[x.first]--;
                dp[x.first]++;
            } else {
                dp[x.first - 1]++;
            }
            dp[x.second]--;
            mp[x.second]++;
        }
    }

    REP(i, 100000) dp[i + 1] += dp[i];
    cout << *max_element(ALL(dp)) << '\n';

    return 0;
}


Measured memory_bytes: 5492