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Children’s toymaker AlgosRUs is creating a stacking puzzle where n oddly shaped discs need to be placed on k pegs, and has employed you to help with the task. Each disc can either be placed directly on a peg or must be placed on top of another disc that is strictly larger than it in all directions. Your task is to decide whether n given shapes can be assembled into k "stacks" to be placed on the pegs.

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