Please solve the question completely and according to given conditions. With all steps given in question

12 large empty boxes are placed on a table. An unknown number of the boxes is selected and, into each, 5 medium boxes are placed. An unknown number of the medium boxes is selected and, into each, 5 small boxes are placed. At the end of this process there are 62 boxes in total. How many empty boxes are there? You should use the following steps in order to solve the problem. 1. Introduce the variables e and t for the number of empty and the number of total boxes, respectively. 2. Identify the information that is given about the initial and final values of e and t. 3. Model the process of putting five boxes inside a box as an assignment to e and t. 4. Identify an invariant of the assignment (proof required!). 5. Combine the previous steps to deduce the final value of e. +2 onlaaf