Searching for a Manga

It was like this girl who wanted to commit suicide after three days of doing whatever she wanted. She ran away because her mother was abusive and even handcuffed her to a wall. A guy "kidnaps" her although she willingly follows him. He says he loves her although he was only interested in her because she actually had the guts to do the deed while he didn't. There's like this really good detective and figured out about because he had like a similar experience. The girl is turning into the one controlling the guy even though he was he one who kidnapped her. Also here was like this teacher who was trying something on her and the guy framed him as the one who actually kidnapped her.