#include <bits/stdc++.h>

//    #include <boost/multiprecision/cpp_int.hpp>
 #define int long long
 #define inf  1000000007
 #define pa pair<int,int>
 #define ll long long
 #define pal pair<double,double>
 #define ppap pair<pa,int>
  #define PI 3.14159265358979323846
  #define paa pair<int,char>
  #define  mp make_pair
  #define  pb push_back
  #define EPS (1e-10)
                                          
    int dx[8]={0,1,0,-1,1,1,-1,-1};
    int dy[8]={1,0,-1,0,-1,1,1,-1};
                                            using namespace std;
                                   			class pa3{
                                            	public:
                                            	int x;
                                   				int y,z;
                                            	pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
                                            	bool operator < (const pa3 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		 return z<p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                   				bool operator > (const pa3 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		 return z>p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa3 &p) const{
                                            		return x==p.x && y==p.y && z==p.z;
                                            	}
                                            		bool operator != (const pa3 &p) const{
                                            			return !( x==p.x && y==p.y && z==p.z);
                                            	}
                                            
                                            };
                                            
                                            class pa4{
                                            	public:
                                            	int x;
                                            	int y,z,w;
                                            	pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
                                            	bool operator < (const pa4 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		if(z!=p.z)return z<p.z;
                                            		return w<p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator > (const pa4 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		if(z!=p.z)return z>p.z;
                                            		return w>p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa4 &p) const{
                                            		return x==p.x && y==p.y && z==p.z &&w==p.w;
                                            	}
                                            		
                                            
                                            };
                                            class pa2{
                                            	public:
                                            	int x,y;
                                            	pa2(int x=0,int y=0):x(x),y(y) {}
                                            	pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
                                            	pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
                                            	bool operator < (const pa2 &p) const{
                                            		return y != p.y ? y<p.y: x<p.x;
                                            	}
                                            	bool operator > (const pa2 &p) const{
                                            		return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa2 &p) const{
                                            		return abs(x-p.x)==0 && abs(y-p.y)==0;
                                            	}
                                            	bool operator != (const pa2 &p) const{
                                            		return !(abs(x-p.x)==0 && abs(y-p.y)==0);
                                            	}
                                            		
                                            
                                            };
                                            

                      
                                string itos( int i ) {
                                ostringstream s ;
                                s << i ;
                                return s.str() ;
                                }
                                 
                                int gcd(int v,int b){
                                	if(v>b) return gcd(b,v);
                                	if(v==b) return b;
                                	if(b%v==0) return v;
                                	return gcd(v,b%v);
                                }
                 
                            
                                int mod;
int extgcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    int d = extgcd(b, a%b, y, x);
    y -= a/b * x;
    return d;
}
pa operator+(const pa & l,const pa & r) {   
    return {l.first+r.first,l.second+r.second};                                    
}    
pa operator-(const pa & l,const pa & r) {   
    return {l.first-r.first,l.second-r.second};                                    
}  
                                
                int pr[1200010];
                int inv[1200010];
                
                int beki(int wa,int rr,int warukazu){
                	if(rr==0) return 1%warukazu;
                	if(rr==1) return wa%warukazu;
                	wa%=warukazu;
                	if(rr%2==1) return ((ll)beki(wa,rr-1,warukazu)*(ll)wa)%warukazu;
                	ll zx=beki(wa,rr/2,warukazu);
                	return (zx*zx)%warukazu;
                }

                
    			int comb(int nn,int rr){
    				if(rr<0 || rr>nn || nn<0) return 0;
    				int r=pr[nn]*inv[rr];
    				r%=mod;
    				r*=inv[nn-rr];
    				r%=mod;
    				return r;
    			}
                
                void gya(int ert){
                	pr[0]=1;
                	for(int i=1;i<=ert;i++){
                		pr[i]=(pr[i-1]*i)%mod;
                	}
                		inv[ert]=beki(pr[ert],mod-2,mod);
                	for(int i=ert-1;i>=0;i--){
                		inv[i]=inv[i+1]*(i+1)%mod;
                	}
                }
                
              //   cin.tie(0);
    		//	ios::sync_with_stdio(false);
    			//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;            
                 //sort(ve.begin(),ve.end(),greater<int>());
//    mt19937(clock_per_sec);
  //  mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ;
      
       
       
                               //----------------kokomade tenpure------------





int p[100020],q[100020];
int l[100020],r[100020];
int n,X;
int b[100020];


bool hikaku(pa3 x,pa3 y){
	return x.z*(X-x.x)+x.y*x.x > y.z*(X-y.x)+y.y*y.x; 
}



bool ch(int d){
	if(d==0)return 0;
	if(d==n*X)return 1;
		int wa=0;
	
	if(d%X==0){
		
		for(int i=0;i<d/X;i++){
			wa+=p[i];
		}
		for(int i=d/X;i<n;i++){
			wa+=q[i];
		}
		
		return wa>=0;
	}
	
	
	int defo=0;
	
	int pp=d/X;
	int qq=n-1-pp;
	
	for(int i=0;i<=pp;i++)defo+=p[i];
	for(int i=n-1;i>=n-(qq+1);i--)defo+=q[i];
	
	int sa=d%X;
	
	
	
	for(int i=0;i<n;i++){
		int wa=0;
		if(sa>b[i])wa=r[i]*(sa-b[i]);
		else wa=l[i]*(sa-b[i]);
		
		wa+=defo;
		
		if(i<=pp){
			wa-=p[i];
			wa-=q[pp];
		}
		else{
			wa-=p[pp];
			wa-=q[i];
		}
		if(wa>=0)return 1;
	}
	return 0;
	
}

 signed main(){
 	
 
    	       cin.tie(0);
   			ios::sync_with_stdio(false);
cin>>n>>X;
 	vector<pa3> ve;
 	for(int i=0;i<n;i++){
 		int y,yy,yyy;
 		cin>>y>>yy>>yyy;
 			ve.pb({y,yy,yyy});
 	}
 	sort(ve.begin(),ve.end(),hikaku);
 
 	int bwa=0;
 	for(int i=0;i<n;i++){
 		b[i]=ve[i].x;
 		l[i]=ve[i].y;
 		r[i]=ve[i].z;
 		
 		p[i]=r[i]*(X-b[i]);
 		q[i]=-l[i]*b[i];
 		bwa+=b[i];
 	}
 	
 	if(bwa==0){
 		cout<<0<<endl;
 		return 0;
 	}
 	if(bwa==n*X){
 		cout<<n*X<<endl;
 		return 0;
 	}
 	
 	int sita=0,ue=n*X,me;
 	
 	while(ue-sita>1){
 		me=(ue+sita)/2;
 		
 		if(ch(me)){
 			ue=me;
 		}
 		else sita=me;
 	}
 	
 	cout<<ue<<endl;
 	
 	
 	return 0;
 
  }
  
  

  

Measured memory_bytes: 7536