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from what i know, the invader is a sick sick sick park ski. symetrical i belive. super sick for buttering and pretty light. however from my knowledge the ski's will only last a season or two if you ride hard. for the disorderly's its symetrical i think, center mount only. not very sure on the flex/weight, my buddy just picked up a pair last weekend but hasnt rode them yet. ill ask him when we ride first and ill reply back here.
sorry i cant be more help.