iPhone Shake App w/ Cartoon Graphics

Looking to build an app for the iPhone where when shaken, cartoon-drawn graphics of a few characters' heads move around the screen and bump into each other.? The computer will randomly "remove" different heads as they bump into each other until only one remains, which is then pronounced to be the "Winner," after a period of about 30 seconds. There will be around 15-20 cartoon-drawn characters included in the app.? The human user will get to select about 6 of them for the actual gameplay -OR- the players can be picked randomly by the computer for head-bumping gameplay.? Additionally, there will be music that plays in the background while the heads are bumping around.? Should be one screen that shows the game logo and "begin" button. Should be another screen that allows the human user to select which characters are going to be bumping heads during gameplay. Should be another screen that shows "WINNER!" Should be another screen that shows number of times each character has won a game. There really is no human gameplay- but ultimately a randomly generated winner as chosen by the computer.