Forgot to mention: You can change the sensitivity through the options screen at the start, or by pressing "Tab" to pause the game.

What is your definition of a "map"? I understand that going inside a building and loading another room/map would be cheating, but what about the Super Mario Sunshine method, where the room is far away and it just teleports you? (explanation here: https://www.youtube.com/watch?v=YmYajM_vBMA)