import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

N, L = map(int, readline().split())
m = map(int, read().split())
XWT = zip(m, m, m)

total_wait = 0
for x, w, t in XWT:
    now = total_wait + x
    blue = now // (t + t) * (t + t)
    if now + w < blue + t:
        # 渡り切れる
        pass
    else:
        total_wait += blue + t + t - now

answer = L + total_wait
print(answer)