case class Edge(to: Int, cost: Int)

object Main extends App {
  val scan = new java.util.Scanner(System.in)
  val n, m = scan.next().toInt  
  val points = (1 to n).toArray.map(_ => scan.next().toInt)
  val edges: Array[List[Edge]] = Array.fill(n)(List())
  for (_ <- 1 until n) {
    val from, to, cost = scan.next().toInt
    edges(from) = Edge(to, cost) :: edges(from)
    edges(to) = Edge(from, cost) :: edges(to)
  }

  val memo: Array[Array[Int]] = Array.fill(n, m+1)(0)
  dfs(0, -1)
  println(memo(0).max)

  def dfs(cur: Int, prev: Int) {
    for (i <- 0 to m) memo(cur)(i) = points(cur)
    for (edge <- edges(cur); if prev != edge.to) {
      dfs(edge.to, cur)
      for (i <- m to 0 by -1; j <- i+edge.cost*2 to 0 by -1) {
        if (i-(j+edge.cost*2) >= 0) {
          memo(cur)(i) = math.max(
            memo(cur)(i),
            memo(cur)(i-(j+edge.cost*2)) + memo(edge.to)(j))
        }
      }
    }
  }
}