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How does the frequency of quantum measurements affect the quantum Zeno effect? Specifically, investigate the behavior of a quantum system under frequent measurements and determine how the probability of the system remaining in its initial state changes with an increasing measurement frequency.
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<|begin_of_thought|>

Deep Thought is thinking for 7.5 million years.

<|end_of_thought|>

<|begin_of_solution|>

The answer is 42.

<|end_of_solution|>