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

#define int long long

#define rep(i,s,n) for(int i = s;i<n;i++)
#define repe(i,s,n) for(int i = s;i<=n;i++)
#define rrep(i,s,n) for(int i = (n)-1;i>=(s);i--)
#define all(v) (v).begin(),(v).end()
#define pb push_back
#define fi first
#define se second
#define chmin(a,b) a=b
#define chmax(a,b) a=b
typedef long long ll;
typedef pair<int,int>pint;
typedef vector<int>vint;
typedef vector<pint>vpint;
typedef pair<pint,int> P1;
typedef pair<int,pint> P2;
typedef pair<pint,pint>PP;
static const ll maxLL = (ll)1 << 62;
const ll MOD=1000000007;
const ll INF=1e18;
int dx[]={0,0,1,-1};
int dy[]={-1,1,0,0};

int N,L,X[101],W[101],T[101];

signed main(){
    cin.tie(0);
	ios::sync_with_stdio(false);
    cin>>N>>L;
    rep(i,0,N)cin>>X[i]>>W[i]>>T[i];
    X[N]=L;
    int cnt=X[0];
    rep(i,0,N){
        if(cnt%(2*T[i])>T[i]-W[i]){
            cnt+=2*T[i]-(cnt%(2*T[i]));
        }
        cnt+=X[i+1]-X[i];
    }
    cout<<cnt<<"\n";



    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    return 0;
}