/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author majk
 */

#ifndef MAJK_LIB
#define MAJK_LIB

#include <vector>
#include <stack>
#include <iostream>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <iomanip>
#include <set>
#include <functional>
#include <fstream>
#include <algorithm>
#include <cassert>
#include <cmath>
#include <string>
#include <sstream>
#include <queue>
#include <array>
#include <bitset>
using namespace std;

#define x first
#define y second
typedef std::pair<int,int> pii; typedef long long ll; typedef unsigned long long ull; typedef unsigned int ui; typedef pair<ui,ui> puu;

template <typename T, typename U> std::istream&operator>>(std::istream&i, pair<T,U>&p) {i >> p.x >> p.y; return i;}
template<typename T>std::istream&operator>>(std::istream&i,vector<T>&t) {for(auto&v:t){i>>v;}return i;}
template <typename T, typename U> std::ostream&operator<<(std::ostream&o, const pair<T,U>&p) {o << p.x << ' ' << p.y; return o;}
template<typename T>std::ostream&operator<<(std::ostream&o,const vector<T>&t) {if(t.empty())o<<'\n';for(size_t i=0;i<t.size();++i){o<<t[i]<<" \n"[i == t.size()-1];}return o;}
template<typename T> using minheap = priority_queue<T, vector<T>, greater<T>>;
template<typename T> using maxheap = priority_queue<T, vector<T>, less<T>>;
template <typename T> bool in(T a, T b, T c) { return a <= b && b < c; }
ui logceil(ll x) { return x?8*sizeof(ll)-__builtin_clzll(x):0; }

namespace std { template<typename T,typename U>struct hash<pair<T,U>>{hash<T>t;hash<U>u;size_t operator()(const pair<T,U>&p)const{return t(p.x)^(u(p.y)<<7);}}; }
template<typename T,typename F>T bsh(T l,T h,const F&f){T r=-1,m;while(l<=h){m=(l+h)/2;if(f(m)){l=m+1;r=m;}else{h=m-1;}}return r;}
template<typename F> double bshd(double l,double h,const F&f,double p=1e-9){ui r=3+(ui)log2((h-l)/p);while(r--){double m=(l+h)/2;if(f(m)){l=m;}else{h=m;}}return (l+h)/2;}
template<typename T,typename F>T bsl(T l,T h,const F&f){T r=-1,m;while(l<=h){m=(l+h)/2;if(f(m)){h=m-1;r=m;}else{l=m+1;}}return r;}
template<typename F> double bsld(double l,double h,const F&f,double p=1e-9){ui r=3+(ui)log2((h-l)/p);while(r--){double m=(l+h)/2;if(f(m)){h=m;}else{l=m;}}return (l+h)/2;}
template<typename T> T gcd(T a,T b) { if (a<b) swap(a,b); return b?gcd(b,a%b):a; }


template<typename T>class vector2:public vector<vector<T>>{public:vector2(){} vector2(size_t a,size_t b,T t=T()):vector<vector<T>>(a,vector<T>(b,t)){}};
template<typename T>class vector3:public vector<vector2<T>>{public:vector3(){} vector3(size_t a,size_t b,size_t c,T t=T()):vector<vector2<T>>(a,vector2<T>(b,c,t)){}};
template<typename T>class vector4:public vector<vector3<T>>{public:vector4(){} vector4(size_t a,size_t b,size_t c,size_t d,T t=T()):vector<vector3<T>>(a,vector3<T>(b,c,d,t)){}};
template<typename T>class vector5:public vector<vector4<T>>{public:vector5(){} vector5(size_t a,size_t b,size_t c,size_t d,size_t e,T t=T()):vector<vector4<T>>(a,vector4<T>(b,c,d,e,t)){}};


#endif

class CTests {
public:
    void solve(istream& cin, ostream& cout) {
        ll N; cin >> N;
        ll X; cin >> X;
        vector<ll> B(N), L(N), U(N);
        for (int i = 0; i < N; ++i) {
            cin >> B[i] >> L[i] >> U[i];
        }

        ll tot = 0;
        vector<pair<ll, int>> Gain(N);
        vector<ll> S(N);
        for (int i = 0; i < N; ++i) {
            tot += -L[i] * B[i];
            S[i] = U[i] * X + B[i] * (L[i] - U[i]);
            Gain[i] = {S[i], i};
        }
        sort(Gain.begin(),Gain.end());
        reverse(Gain.begin(),Gain.end());
        vector<int> I(N);
        for (int i = 0; i < N; ++i) {
            I[Gain[i].y] = i;
        }

        vector<ll> Pref(N+1, 0);
        for (int i = 0; i < N; ++i) {
            Pref[i+1] = Pref[i] + Gain[i].x;
        }

        ll ans = ll(X) * N;
        for (int i = 0; i < N; ++i) {
            ll g = bsl(0LL, N, [&](int j) {
                return Pref[j] + tot >= 0;
            });

            for (ll f = max(0LL,g-1); f <= g; ++f) {
                ll y = Pref[f];
                ll mine = f * X;
                if (i < f) {
                    y -= Gain[i].x;
                    mine -= X;
                }

                ll cur = tot + y;


                int k = Gain[i].y;

                ll lo = bsl(0LL, X, [&](int x) { return x * L[k] + cur >= 0; });
                ll hi = bsl(0LL, X, [&](int x) { return x * U[k] + B[k] * (L[k] - U[k]) + cur >= 0; });
                if (lo != -1) {
                    ans = min(ans, mine + lo);
                }
                if (hi != -1) {
                    ans = min(ans, mine + hi);
                }
            }
        }
        cout << ans << endl;
    }
};


int main() {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
	CTests solver;
	std::istream& in(std::cin);
	std::ostream& out(std::cout);
	solver.solve(in, out);
    return 0;
}


Measured memory_bytes: 6144