Problem $2.$ Graph diffusion $(10$ points$).$

Can the random walk on the following graph converge to a stationary distribution starting from a uniform distribution $[0\mathrm{.}25,0,25,0\mathrm{.}25,0\mathrm{.}25]?$ If so$,$ please write down the stationary distribution vector $($round to $2$ decimal places and write the distribution in the order of $[$a$,$b$,$c$,$d$]).$ If not, please remove the minimum number of edges so that random walk can converge. We encourage you to solve this problem by writing a program. But code or pseudocode is not required. We will only grade this problem based on the solution.

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