Actually those gems you got in last month is New Year gift, it's announced in the Tweeter (around the time with group stage uniforms collecting Event, I don't remember exactly). Anyway, login one time a day is easy even if you didn't play, so you can collect high status clothes (normally if you login in whole month, you got a nice clothes at the end). The daily only count the number of day you login, not the day, like if they give a clothes piece at 5th day, even if you not login in 3rd and 4th, then you'll got that piece in 7th. So if you not login in whole month, you'll miss the final gift.
I never got the final gift, because sometime my younger sister not come home because her job, so I can't borrow her phone to login... In the Kimono Event they have login consecutive gift, you got the Pink Kimono for day 5th, and a gem for day 7th, I missed the first day because my game not update, then I missed again at day 5th because my younger sister not come home, and the prize reset (unexpected, I though I could get at least the Kimono) so I just get useless Haro and Friendpoint. That's what I hate most because I'm just a collector type, I don't care it's strong or not, I just want to collect it.