Seven small towns—H, I, J, K, L, M, N—are serviced by three roads—Routes 1, 2, and 3.
Route 1 ends at N and L, and passes through M only.
Route 2 starts at H. Then passes through L and I, and ends back at H.
Route 3 ends at N and K, and passes through J only.
Two towns are directly connected if a person can drive from one of the towns to the other without passing through any other town.
If a new road were built directly connecting I and J, and if all the direct connections between the towns were of equal distance, then in which one of the following pairs of towns is neither town on the shortest route connecting L and K?