BNHA: Izuku Todoroki (What if Izuku is a Todoroki?)

An unfortunate accident caused Izuku Todoroki to separate from his family. After his disappearance, the family only grew colder. Shoto lost his twin and was 'trained', Rei was sent in a mental, Fuyumi and Natsuo were neglected, and Touya's turning point was the loss of his youngest brother.. Causing him to run away, Endeavor? He grew colder. But what would happen if 'Izuku Midoriya', the adopted son of Inko Midoriya, Would meet Shoto Todoroki in UA high?

Izuku's quirk: Hot Ice, Cold Flames