Looking for sad manga

Hey gois, so I've once read a manga. It is not a yaoi. The hero was a prisoner and was going to sentenced to death. While the heroin is a woman who is suicidal i think? She was forced to live with her aunt and she was forced to do some volunteerism as a therapy by visiting prisoner who is getting a death sentence. And that audience where the heroin meets the hero. Okay so anyone who have read this manga please help a friend out! The manga have a melancholy and saddddd feels to it!