import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int l = sc.nextInt();
        long total = 0;
        int cur = 0;
        for (int i = 0; i < n; i++) {
            int point = sc.nextInt();
            int width = sc.nextInt();
            int time = sc.nextInt();
            long start = total + point - cur;
            long end = total + point + width - cur;
            if (start / time % 2 == 1 || end / time % 2 == 1 || start / time != end / time) {
                cur = point;
                total = (start / (time * 2) + 1) * time * 2;
            } else {
                cur = point + width;
                total = end;
            }
        }
        total += l - cur;
        System.out.println(total);
    }
}