In his speech to polonium after they spied on hamlet and Ophelia how does Claudius show that he is a man of keen perceptions?

In his speech to Polonius after spying on Hamlet and Ophelia, Claudius demonstrates keen perception by quickly grasping the implications of their actions and the potential consequences for his own power. He understands that Hamlet's behavior is a threat, indicating his ability to read the political landscape and the emotional dynamics at play. Claudius's astute observations reveal his awareness of the complexities of human motives and relationships, suggesting he is both manipulative and strategic in his approach to maintaining control.