import java.math.*;
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 nowt = 0;
        int nowl = 0;
        for(int i=0;i<n;i++){
        	int a =sc.nextInt();
        	int b =sc.nextInt();
        	int c = sc.nextInt();
        	nowt+=(a-nowl);
        	nowl=a+b;
        	if(nowt%(2*c) <= c-b){
        		nowt+=b;
        	}else{
        		nowt+=b+(2*c-nowt%(2*c));
        	}
        }
        System.out.println(l-nowl+nowt);
        
    }
}