import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Main { void solve() throws IOException { int n = ni(), l = ni(); int[] x = new int[n]; int[] w = new int[n]; int[] t = new int[n]; for (int i = 0; i < n; i++) { x[i] = ni(); w[i] = ni(); t[i] = ni(); } int time = 0; int pos = 0; for (int i = 0; i < n; i++) { time += x[i] - pos; if (time % (2 * t[i]) > t[i] || (time + w[i]) % (2 * t[i]) > t[i]) { time += 2 * t[i] - time % (2 * t[i]); } time += w[i]; pos = x[i] + w[i]; } time += l - pos; out.println(time); } String ns() throws IOException { while (!tok.hasMoreTokens()) { tok = new StringTokenizer(in.readLine(), " "); } return tok.nextToken(); } int ni() throws IOException { return Integer.parseInt(ns()); } long nl() throws IOException { return Long.parseLong(ns()); } double nd() throws IOException { return Double.parseDouble(ns()); } String[] nsa(int n) throws IOException { String[] res = new String[n]; for (int i = 0; i < n; i++) { res[i] = ns(); } return res; } int[] nia(int n) throws IOException { int[] res = new int[n]; for (int i = 0; i < n; i++) { res[i] = ni(); } return res; } long[] nla(int n) throws IOException { long[] res = new long[n]; for (int i = 0; i < n; i++) { res[i] = nl(); } return res; } static BufferedReader in; static PrintWriter out; static StringTokenizer tok; public static void main(String[] args) throws IOException { in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); tok = new StringTokenizer(""); Main main = new Main(); main.solve(); out.close(); } }