using System;
using System.Collections;
using System.Collections.Generic;
using System.Collections.Specialized;
using System.Text;
using System.Text.RegularExpressions;
using System.Linq;
using System.IO;

class Program
{ 
    static void Main(string[]args)
    {
        Magatro m = new Magatro();
        m.Scan();
        m.Solve();
    }
}

public class Magatro
{
    private int N, L;
    private int[] X, W, T;
    public void Scan()
    {
        Scanner sc = new Scanner();
        N = sc.NextInt();
        L = sc.NextInt();
        X = new int[N];
        W = new int[N];
        T = new int[N];
        for (int i = 0; i < N; i++)
        {
            X[i] = sc.NextInt();
            W[i] = sc.NextInt();
            T[i] = sc.NextInt();
        }
    }

    public void Solve()
    {
        int time = 0;
        int position = 0;
        for (int i = 0; i < N; i++)
        {
            time += X[i] - position;
            if ((time / T[i]) % 2 == 1 || ((time + W[i]) / T[i]) % 2 == 1)
            {
                time += (2 * T[i]) - time % (2 * T[i]);
            }
            time += W[i];
            position = X[i] + W[i];
        }
        time += L - position;
        Console.WriteLine(time);
    }

}


public class Scanner
{
    private StreamReader Sr;
    private string[] S;
    private int Index;
    private const char Separator = ' ';
    public Scanner()
    {
        Index = 0;
        S = new string[0];
        Sr = new StreamReader(Console.OpenStandardInput());
    }
    private string[] Line()
    {
        return Sr.ReadLine().Split(Separator);
    }
    public string Next()
    {
        string result;
        if (Index >= S.Length)
        {
            S = Line();
            Index = 0;
        }
        result = S[Index];
        Index++;
        return result;
    }
    public int NextInt()
    {
        return int.Parse(Next());
    }
    public double NextDouble()
    {
        return double.Parse(Next());
    }
    public long NextLong()
    {
        return long.Parse(Next());
    }
    public string[] StringArray(int index = 0)
    {
        Next();
        Index = S.Length;
        return S.Skip(index).ToArray();
    }
    public int[] IntArray(int index = 0)
    {
        return StringArray(index).Select(int.Parse).ToArray();
    }
    public long[] LongArray(int index = 0)
    {
        return StringArray(index).Select(long.Parse).ToArray();
    }
    public bool ScanToEnd(ref string s)
    {
        if (Sr.EndOfStream)
        {
            return false;
        }
        else
        {
            s = Sr.ReadLine();
            return true;
        }
    }
}