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This is Cut The Rope 3D, a puzzle game in which you must save the trapped man. The man is clearly suspended from the ceiling. The man can escape via the door if you cut the cords holding him up. However, you must remain vigilant because danger lurks just below or on the wall itself. If you accidentally kill one of your allies, you'll have to start over.
The game starts off easy, but the complexity ramps up quickly as you progress through the levels. Get through each level as quickly as possible by using your problem-solving skills. You need to deduce all feasible instances in order to solve the puzzle as soon as possible. The lanyard has several ends, and this one explains what will happen if you snip it off. From that vantage point, you can aid the prisoner's escape. In other words, you shouldn't only play Agent Fall 3D.
Use the mouse to play.