Problem $9$: The Collatz conjecture states that for any positive integer, the $3$n$+1$ algorithm willeventually reach $1.$ The $3$n$+1$ algorithm is defined as follows:an$+1=3$ an $+1,$ an odd an$/2,$ an even Here is a great Veritasium video about the algorithm$7!$Write a MATLAB function called collatz to implement the $3$n$+1$ algorithm and plotthe iterates using subplot. In the first subplot, plot the iteration number on the x$-$axisand the value of the iterate on the y$-$axis. In the second subplot, plot the iterationnumber on the x$-$axis and the natural logarithm of the value of the iterate on the yaxis$8.$ Include x$-$ and y$-$axis labels. The input should be the starting integer, and theoutput should be a vector of iterates.Use the skeleton function shown on Canvas under HW Files. Do not use MATLABsinput$()$ function.Choose some starting positive integer, a$0,$ and include the corresponding plots in yourPDF.