In the context of the probabilistic method, alteration refers to a technique used to change or modify a random object or configuration in order to improve its properties or achieve certain desired outcomes. This method is particularly useful when dealing with combinatorial structures, as it allows one to analyze and optimize the arrangements while maintaining certain probabilistic guarantees. Alteration can help demonstrate the existence of objects with specific properties by showing that if a random object is altered in a particular way, it can yield a configuration that satisfies the desired criteria.
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