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();
		int current = 0;
		long total = 0;
		for (int i = 0; i < n; i++) {
		    int x = sc.nextInt();
		    int w = sc.nextInt();
		    int t = sc.nextInt();
		    if ((total + x + w - current + t - 1) / t % 2 == 0) {
		        total = (total + x + w - current + t - 1) / t * t;
		        current = x;
		    } else {
		        total += x + w - current;
		        current = x + w;
		    }
		}
		total += l - current;
		System.out.println(total);
    }
}