// includes
#include <bits/stdc++.h>

// macros
#define ll long long int
#define pb emplace_back
#define mk make_pair
#define pq priority_queue
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--)
#define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr)
#define vrep(v, i) for(int i = 0; i < (v).size(); i++)
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end())
#define FI first
#define SE second
#define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n];
#define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m];
#define bit(n) (1LL<<(n))
#define INT(n) int n; cin >> n;
#define LL(n) ll n; cin >> n;
#define DOUBLE(n) double n; cin >> n;
using namespace std;

//  types
typedef pair<int, int> P;
typedef pair<ll, int> Pl;
typedef pair<ll, ll> Pll;
typedef pair<double, double> Pd;
typedef complex<double> cd;
 
// constants
const int inf = 1e9;
const ll linf = 1LL << 50;
const double EPS = 1e-10;
const int mod = 1e9 + 7;
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};

// solve
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(a > b){a = b; return 1;} return 0;}
template <typename T> istream &operator>>(istream &is, vector<T> &vec){for(auto &v: vec)is >> v; return is;}
template <typename T> ostream &operator<<(ostream &os, const vector<T>& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){os << p.first << " " << p.second; return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const unordered_map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}


int main(int argc, char const* argv[])
{
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout << fixed << setprecision(20);
  INT(n); LL(X);
  vector<ll> b(n), l(n), u(n); rep(i, n)cin >> b[i] >> l[i] >> u[i];
  vector<int> c(n); rep(i, n)c[i] = i;
  sort(all(c), [&](int i, int j){
      return (X - b[i]) * u[i] + b[i] * l[i] > (X - b[j]) * u[j] + b[j] * l[j];
      });
  vector<ll> xs(n + 2, 0), ls(n + 2, 0);
  rep(i, n)xs[i] = (i > 0 ? xs[i-1]: 0) + (X - b[c[i]]) * u[c[i]];
  rrep(i, n)ls[i] = (i < n - 1 ? ls[i+1]: 0) + b[c[i]] * (- l[c[i]]);

  ll ld = -1, rd = (ll)n * X;
  while(rd - ld > 1){
    ll x = (rd + ld) / 2;
    ll cnt = x / X, y = x % X;
    bool ok = false;
    if(y == 0){
      ll tmp = (cnt > 0 ? xs[cnt-1]: 0) + ls[cnt];
      if(tmp >= 0)ok = true;
    }else{
      for(int i = 0; i < n; i++){
        if(i < cnt){
          ll tmp = xs[cnt] - (X - b[c[i]]) * u[c[i]] + ls[cnt+1];
          if(y > b[c[i]])tmp += u[c[i]] * (y - b[c[i]]);
          else tmp += l[c[i]] * (y - b[c[i]]);
          if(tmp >= 0)ok = true;
        }else{
          ll tmp = (cnt > 0 ? xs[cnt-1]: 0) + ls[cnt] - l[c[i]] * (- b[c[i]]);
          if(y > b[c[i]])tmp += u[c[i]] * (y - b[c[i]]);
          else tmp += l[c[i]] * (y - b[c[i]]);
          if(tmp >= 0)ok = true;
        }
      }
    }
    if(ok)rd = x;
    else ld = x;
  }
  cout << rd << endl;
  return 0;
}


Measured memory_bytes: 4608