n,l=map(int,input().split())
now=time=0
for _ in range(n):
    x,w,t=map(int,input().split())
    diff=x-now
    now=x+w
    time+=diff
    if (time//t)%2:#着いた時点で赤信号
        rem=t-time%t
        time+=rem+w
    else:
        rem=t-time%t
        if rem>=w:
            time+=w
        else:
            time+=rem+t+w
print(time+l-now)