using System;
using System.Collections.Generic;
using System.Text;
using System.Linq;
 
class Program
{
    public void Proc()
    {
        Reader.IsDebug = false;
        int[] inpt = Reader.GetInt();
        
        int kousatenCount = inpt[0];
        int kyori = inpt[1];
        
        int currentPos = 0;
        int time = 0;
        for(int i=0; i<kousatenCount; i++) {
            inpt = Reader.GetInt();
            int pos = inpt[0];
            int width = inpt[1];
            int interval = inpt[2];
            
            time += pos - currentPos;
            bool isBlue = ((time / interval) % 2 == 0);
            int remain = interval - (time % interval);
            
            if(isBlue) {
                if(width > remain) {
                    time += (remain + interval);
                }
            } else {
                time+=remain;
            }
            currentPos=pos;
        }
        time += kyori - currentPos;
        Console.WriteLine(time);
    }
    

    public class Reader
    {
        public static bool IsDebug = true;
        private static String PlainInput = @"



 
";
        private static System.IO.StringReader Sr = null;
        public static string ReadLine()
        {
            if (IsDebug)
            {
                if (Sr == null)
                {
                    Sr = new System.IO.StringReader(PlainInput.Trim());
                }
                return Sr.ReadLine();
            }
            else
            {
                return Console.ReadLine();
            }
        }
        public static int[] GetInt(char delimiter = ' ', bool trim = false)
        {
            string inptStr = ReadLine();
            if (trim)
            {
                inptStr = inptStr.Trim();
            }
            string[] inpt = inptStr.Split(delimiter);
            int[] ret = new int[inpt.Length];
            for (int i = 0; i < inpt.Length; i++)
            {
                ret[i] = int.Parse(inpt[i]);
            }
            return ret;
        }
    }
    static void Main()
    {
        Program prg = new Program();
        prg.Proc();
    }
}