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\section{Simulation and Results}  In the simulation, we first setup the lattice with a fixed seed point in the middle.   A particle is added randomly into the lattice and randomly moves through the lattice, If it reaches a seed point it also becomes a seed point and the process is repeated until we get a sizeable cluster. cluster or a maximum value of steps.  \begin{lstlisting}  %% Preallocations 
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