n, l = gets.split.map(&:to_i)
x = n.times.map{gets.split.map(&:to_i)}
r = Array.new(l,0)
w = Hash.new
x.each do |xx|
    xx[1].times do |i|
        r[xx[0] + i] = xx[2]
        w[xx[0] + i] = xx[1] - i
    end
end
wait = 0
i = 0
while i < l
    if r[i] == 0
        i += 1
        next
    end
    if ((i + wait) / r[i]) % 2 == 1 #red
        #puts "NOW RED"
        wait += r[i] - (i + wait) % r[i]
    elsif r[i] - (i + wait) % r[i] < w[i] #green but not enough time
        #puts "NOW GREEN BUT NOT ENOUGH TIME"
        wait += 2 * r[i] - (i + wait) % r[i]
    end
    i += 1
end
puts l + wait