package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var sc = bufio.NewScanner(os.Stdin)
var rdr = bufio.NewReaderSize(os.Stdin, 1000000)

func main() {
	sc.Split(bufio.ScanWords)
	n, l := nextInt(), nextInt()
	ns := make([][3]int, n)
	for i := 0; i < n; i++ {
		ns[i] = [3]int{nextInt(), nextInt(), nextInt()}
	}
	t, r := 0, 0
	for _, v := range ns {
		x, w, c := v[0], v[1], v[2]
		t += x - r
		r += x - r

		div, mod := t/c, t%c
		if div%2 == 1 {
			t += c - mod
		} else if w > c-mod {
			t += c - mod + c
		}
		t += w
		r += w
	}
	fmt.Println(t + l - r)
}

func nextLine() string {
	sc.Scan()
	return sc.Text()
}

func nextInt() int {
	i, _ := strconv.Atoi(nextLine())
	return i
}