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Spin jump
In beginning of the game run right, jump on the plant pot over the bellhop jump on the ashtray and a pidgin. The pidgin gives you a spin jump and except for the bellhop, detective, Harry and Marv, bomb guy in the park and low suitcases and chefs you can knock all enemies off the screen. This prevents the ammunition you have to use. I can get though the entire plaza hotel with using only two necklaces, two flying fists, and one super fist this way.