import java.util.Scanner;


public class Main_yukicoder139 {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        int n = sc.nextInt();
        int l = sc.nextInt();

        int[] x = new int[n + 1];
        int[] w = new int[n + 1];
        int[] t = new int[n + 1];

        for (int i = 0; i < n; i++) {
        	x[i + 1] = sc.nextInt();
        	w[i + 1] = sc.nextInt();
        	t[i + 1] = sc.nextInt();
        }

        long time = 0;
        for (int i = 1; i <= n; i++) {
        	time += x[i] - (x[i - 1] + w[i - 1]);

        	if (time / t[i] % 2 == 1) {
        		time += t[i] - time % t[i];
        	} else if ((time + w[i]) / t[i] % 2 == 1 && (time + w[i]) % t[i] != 0) {
        		time += t[i] - time % t[i] + t[i];
        	}

        	time += w[i];
        }

        System.out.println(time + l - (x[n] + w[n]));

        sc.close();
    }
}