Hanbun no Tsuki ga Noboru Sora (anime show)

Description: During the winter, Yuichi was hospitalized due to hepatitis. Randomly, he would try to escape from the hospital, but would get beaten up by the nurse. One day, he happened to meet Rika, a girl of his age, in the next building. He was fascinated by her beauty, even though she is a very selfish girl. Although she led him by the nose, he began to be attracted by her. However, when Rika told him about her illness, he knew why she acted so selfish; she didn't have long to live.