import sequtils,strutils
var
    N,L,x,w,t,p,c,a,b : int
    hyou : array[101, array[3, int]]
(N, L) = stdin.readline.split.map(parseInt)

for n in 0..<N:
    (x, w, t) = stdin.readline.split.map(parseInt)
    hyou[n] = [x, w, t]

for h in hyou[0..<N]:
    (x, w, t) = (h[0], h[1], h[2])
    a += x - p
    b = a div t
    if b mod 2 == 1:
        a += w + t - (a - b * t)
    else:
        if t - (a - b * t) >= w:
            a += w
        else:
            a += w + t - (a - b * t) + t
    p = x + w

a += L - p
echo a