N, L = map(int, input().split())
passed_time = 0
dist = 0

for i in range(N):
    Xi, Wi, Ti = map(int, input().split())
    passed_time += Xi - dist
    dist = Xi
    shou = passed_time // Ti
    
    if shou % 2 == 0 and passed_time + Wi <= (shou + 1) * Ti:
        passed_time += Wi
    else:
        if shou % 2 == 0:
            passed_time = (shou + 2) * Ti + Wi
        else:
            passed_time = (shou + 1) * Ti + Wi
    
    dist += Wi

passed_time += L - dist
print(passed_time)