Trapped in Mysterious Lewd Island

This game begins with you stranded in a strange island with a really hot girl. The two of you don't know who you are, how you got here and why. It's like your memories were flashed. You desperately want to get out of here and start looking for ways out. You discover that for you to get off the island, the two of you will have to participate in some strange sexual competition. Because both of you are desperate, you decide to fuck each like your lives depended on it. The nastier your sex actions, the more points you get. You will be competing with her so fuck her better, win and escape that torturous place.