N, L = gets.split.map(&:to_i)
X, W, T = (1..N).map {gets.split.map(&:to_i)}.transpose
s, p = X.zip(W, T).inject([0, 0]) {|(s, p), (x, w, t)|
  y = s + x - p
  if t - (y % (2 * t)) < w
    [y + (2 * t - (y % (2 * t))) + w, x + w]
  else
    [y + w, x + w]
  end
}
ans = s + L - p
puts ans