Hattori Heiji vs. Kudo Shinichi! The Grand Deduction Battle!

Heiji relives a case from the past when he tells Conan about a detective he met a few years ago on a ski trip while they were in middle school. Heiji claims that the detective is better than Shinichi. However, the detective turns out to be no other than Shinichi. In he past, a man is shot dead while on a ski lift. However, it would've been impossible to shoot him while in front or behind him. Shinichi and Heiji figure it out at the same time due to the hint from their father. They solve the case at the same time without meeting each other.