Show the mechanism for the following 1,3-hydrogen shift. 
Definitions:
Exact Mathematical Model
A precise representation using mathematical equations to describe the characteristics or operations of a system or process.
Monte Carlo Simulation
A computational algorithm that uses repeated random sampling to obtain numerical results, often used in physical and mathematical problem-solving.
Average Waiting Time
calculates the average duration customers or items wait before being serviced, often used in queue management to assess performance.
Monte Carlo Simulation
A computational technique used to model the probability of different outcomes in a process that cannot easily be predicted due to the intervention of random variables.
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