Now assume that x$(3)=[1,10].$ How many mistakes does the algorithm make until convergence if cycling starts with data point x$(1)?$ Also provide the progression of the separating plane as the algorithm cycles in the following list format: $[[\backslash$theta $(1)1,\backslash$theta $(1)2],...,[\backslash$theta $($N$)1,\backslash$theta $($N$)2]],$ where the superscript denotes different $\backslash$theta as the separating plane progresses. For example, if $\backslash$theta progress from $[0,0]($initialization$)$ to $[1,2]$ to $[3,2],$ you should enter $[[1,2],[3,2]]$ Please enter the number of mistakes of Perceptron algorithm if the algorithm starts with x$(1).$ Please enter the progression of the separating hyperplane $(\backslash$theta $,$ in a list format described above$)$ of Perceptron algorithm if the algorithm starts with x$(1).$ Please enter the number of mistakes of Perceptron algorithm if the algorithm starts with x$(2).$ Please enter the progression of the separating hyperplane $(\backslash$theta $,$ in the list format described above$)$ of Perceptron algorithm if the algorithm starts with x$(2).$