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

using uint=unsigned;
using ll=long long;
using ull=unsigned long long;
#define int ll

#define FOR(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) FOR(i,0,b)
#define ROF(i,a,b) for(int i=int(b)-1;i>=a;i--)
#define per(i,b) ROF(i,0,b)
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(),x.end()
auto& errStream=cerr;
#ifdef LOCAL
#define cerr (cerr<<"-- line "<<__LINE__<<" -- ")
#else
class CerrDummy{}cerrDummy;
template<class T>
CerrDummy& operator<<(CerrDummy&cd,const T&){
	return cd;
}
using charTDummy=char;
using traitsDummy=char_traits<charTDummy>;
CerrDummy& operator<<(CerrDummy&cd,basic_ostream<charTDummy,traitsDummy>&(basic_ostream<charTDummy,traitsDummy>&)){
	return cd;
}
#define cerr cerrDummy
#endif
#define reach cerr<<"reached"<<endl
void dmpr(decltype(cerr)&os){os<<endl;}
template<class T,class... Args>
void dmpr(decltype(cerr)&os,const T&t,const Args&... args){
	os<<t<<" ";
	dmpr(os,args...);
}
#define dmp(...) dmpr(cerr,##__VA_ARGS__)
#define zero(x) memset(x,0,sizeof(x))
#define one(x) memset(x,-1,sizeof(x))
#define fs first
#define sc second
#define bg begin()
#define ed end()

template<class T> using V=vector<T>;
template<class T> using VV=V<V<T>>;

using pi=pair<int,int>;
using vi=vector<int>;
using ld=long double;

template<class T,class U>
ostream& operator<<(ostream& os,const pair<T,U>& p){
	os<<"("<<p.first<<","<<p.second<<")";
	return os;
}

template<class T>
ostream& operator <<(ostream& os,const vector<T>& v){
	os<<"{";
	rep(i,(int)v.size()){
		if(i)os<<",";
		os<<v[i];
	}
	os<<"}";
	return os;
}

template<int i,class T>
void print_tuple(ostream&,const T&){
}

template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
	if(i)os<<",";
	os<<get<i>(t);
	print_tuple<i+1,T,Args...>(os,t);
}

template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
	os<<"(";
	print_tuple<0,tuple<Args...>,Args...>(os,t);
	return os<<")";
}

ll read(){
	ll i;
	scanf("%lld",&i);
	return i;
}

void printSpace(){
	printf(" ");
}

void printEoln(){
	printf("\n");
}

void print(ll x,int suc=1){
	printf("%lld",x);
	if(suc==1)
		printEoln();
	if(suc==2)
		printSpace();
}

vi readvi(int n,int off=0){
	vi v(n);
	rep(i,n)v[i]=read()+off;
	return v;
}

template<class T>
void print(const vector<T>&v,int suc=1){
	rep(i,v.size())
		print(v[i],i==int(v.size())-1?suc:2);
}

string readString(){
	static char buf[3341000];
	scanf("%s",buf);
	return string(buf);
}

char* readCharArray(){
	static char buf[3341000];
	static int bufUsed=0;
	char* ret=buf+bufUsed;
	scanf("%s",ret);
	bufUsed+=strlen(ret)+1;
	return ret;
}

template<class T,class U>
void chmax(T& a,U b){
	if(a<b)
		a=b;
}

template<class T,class U>
void chmin(T& a,U b){
	if(b<a)
		a=b;
}

template<class T>
T Sq(const T& t){
	return t*t;
}

//#define CAPITAL
void Yes(bool ex=true){
	#ifdef CAPITAL
	cout<<"YES"<<endl;
	#else
	cout<<"Yes"<<endl;
	#endif
	if(ex)exit(0);
}
void No(bool ex=true){
	#ifdef CAPITAL
	cout<<"NO"<<endl;
	#else
	cout<<"No"<<endl;
	#endif
	if(ex)exit(0);
}

const ll infLL=LLONG_MAX/3;

#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif

constexpr ll TEN(int n){
	return n==0?1:TEN(n-1)*10;
}

template<class T>
vector<T> uni(const vector<T>&vv){
	auto v(vv);
	sort(all(v));
	v.erase(unique(all(v)),v.end());
	return v;
}
template<class T>
void mkuni(vector<T>&v){
	sort(all(v));
	v.erase(unique(all(v)),v.end());
}

//ayasii
int topbit(signed t){
	return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
	return t==0?-1:63-__builtin_clzll(t);
}
int popcount(signed t){
	return __builtin_popcount(t);
}
int popcount(ll t){
	return __builtin_popcountll(t);
}
bool ispow2(int i){
	return i&&(i&-i)==i;
}

bool inc(int a,int b,int c){
	return a<=b&&b<=c;
}

signed main(){
	int n=read(),x=read();
	vi b(n),l(n),r(n);
	rep(i,n){
		b[i]=read();
		l[i]=read();
		r[i]=read();
	}
	int base=0;
	V<pi> ad(n);
	vi s(n),t(n);
	rep(i,n){
		s[i]=-l[i]*b[i];
		t[i]=r[i]*(x-b[i]);
		base+=s[i];
		ad[i]=pi(t[i]-s[i],i);
	}
	sort(all(ad),greater<pi>());
	int lw=-1,up=n*x;
	while(up-lw>1){
		const int mid=(lw+up)/2;
		int p=mid/x,q=mid%x;
		V<bool> u(n);
		int sum=base;
		rep(i,p){
			sum+=ad[i].fs;
			u[ad[i].sc]=true;
		}
		int mx=-inf;
		rep(i,n){
			int w=(q>b[i]?r[i]:l[i])*(q-b[i])-s[i];
			if(u[i]){
				w-=t[i]-s[i];
				w+=ad[p].fs;
			}
			chmax(mx,sum+w);
		}
		if(mx>=0)
			up=mid;
		else
			lw=mid;
	}
	print(up);
}


Measured memory_bytes: 5760