I Will Surpass You (an L fan fiction)

Her parents were murdered when she was 5. She gave the police the profile to catch their killer before Watari came to take her to Whammy's House. She called herself Z, and she is the second greatest detective. Her goal is to become the greatest but there is one person standing in her way. The world knows him as L but to her, he is Lawliet. One day L gets a case that he can't solve. Finding out who Z is. Soon after, Kira appears. He takes this chance to get more information for the first case while solving the second.