If Her Flag Breaks

Sota Hatate is a boy who has the unique ability to see "Flags" above the heads of other people. The "Flags" mark critical crossroads in people's lives — when the choices they make will determine love, friendship, victory, and even death. He transfers into Tokyo's elite Hatagaya Academy, but instead of living by himself in the boys' dormitory, he ends up living with many beautiful girls under one roof.

Synopsis from Anime News Network