Band members are standing in an array before their performance. Tim stands the $$4$$\textsuperscript{th}~in line counting from front to back, and the $$3$$\textsuperscript{rd} counting from back to front. He is also the $$1$$\textsuperscript{st} counting from left to right, and the $$4$$\textsuperscript{th} counting from right to left. How many band members in total are in this array? 
Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array