import times, strutils, sequtils, math, algorithm, tables, sets, lists, intsets
import critbits, future, strformat, deques
template `max=`(x,y) = x = max(x,y)
template `min=`(x,y) = x = min(x,y)
template `mod=`(x,y) = x = x mod y
template scan2 = (scan(), scan())
template scan3 = (scan(), scan())
let read* = iterator: string {.closure.} =
    while true: (for s in stdin.readLine.split: yield s)
proc scan(): int = read().parseInt
proc scanf(): float = read().parseFloat
proc toInt(c:char): int =
    return int(c) - int('0')



proc solve():int=
  var
    n = scan()
    l = scan()
    xwt = newseqwith(n,(scan(),scan(),scan()))
    pos = 0
    clock = 0
  for (x,w,t) in xwt:
    clock += x-pos
    pos = x
    var n = clock.div(2*t)
    if 2*n*t <= clock and clock <= 2*n*t+t and clock+w<=2*n*t+t:
      pos = x+w
      clock+=w
    else:
      pos = x+w
      clock = 2*(n+1)*t+w
  return clock+(l-pos)


    

  

  
echo solve()