#include "bits/stdc++.h"
#define REP(i,n,N) for(ll i=(n); i<(N); i++)
#define RREP(i,n,N) for(ll i=(N-1); i>=n; i--)
#define CK(n,a,b) ((a)<=(n)&&(n)<(b))
#define ALL(v) (v).begin(),(v).end()
#define p(s) cout<<(s)<<endl
#define p2(a,b) cout<<(a)<<" "<<(b)<<endl
#define v2(T) vector<vector<T>>
typedef long long ll;
using namespace std;
const ll mod = 1e9+7;


int main() {
    ll N, L;
    ll X[110],W[110],T[110];
    cin>>N>>L;
    REP(i,0,N){
        cin>>X[i]>>W[i]>>T[i];
    }
    X[N] = L;
    ll ans =X[0];
    REP(i,0,N){
        if(ans % (2 * T[i]) > T[i] - W[i]){
            ans += 2 * T[i] - (ans % (2 * T[i]));
        }
        ans += X[i+1] - X[i];
    }
    p(ans);
    return 0;
}