import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int length = sc.nextInt();
        int current = 0;
        int time = 0;
        for (int i = 0; i < n; i++) {
            int x = sc.nextInt();
            int w = sc.nextInt();
            int t = sc.nextInt();
            time += x - current;
            current = x;
            if (time / t < (time + w - 1) / t || time / t % 2 == 1) {
                time += 2 * t - time % (2 * t);
            }
            time += w;
            current += w;
        }
        time += length - current;
        System.out.println(time);
    }
}