Devise a TM that takes in a non$-$empty list of positive numbers $(k_1,k_2,$dots,$k_l)$ in the form of the string

$1^{k_1}{01}^{k_2}0$cdots${01}^{k_l}$ and outputs the floor of the average. For example, the input $111110111111011110110111$

represents $(5,6,4,3,3)$ and must output must be ${|}_{{?}_{?}}\frac{5+6+4+2+3}{(5{)}_{{?}_{?}}}|=4.$ Assume that the input is presented

always in the correct format.