Departments A$,$ B$,$ C$,$ and D need to be assigned to four rooms $1,2,3,$ and $4.$ These rooms are arranged in a row, in that order, and $20$ meters between each. The departmental work flows are given in the table below.

$\backslash$table$[[,$Dept. A$,$Dept. B$,$Dept. C$,$Dept. D$],[$Dept$.$ A$,0,20,5,20],[$Dept$.$ B$,5,0,30,10],[$Dept$.$ C$,0,10,0,40],[$Dept$.$ D$,10,5,0,0],[$Room $1,$Room $2,$Room $3,$Room $4,]]$

What is the total load$-$distance score for assigning $A$ to room $1,$ B to room $2,$ C to room $3,$ and D to room $4?$