The distances $($in miles$)$ between the Indiana cities of Gary, Fort Wayne, Evansville, Terre Haute,

and South Bend are shown in table below. It is necessary to build a state rpad system that

connects all these cities. Assume that for political reasons no road can be built connecting Gary

and Fort Wayne, and no road can be built connecting South Bend and Evansville. What is the

minimum lenght of road required? $($MST$)$