Bellman's principle guarantees optimal subpaths, but not their uniqueness

Suppose that R is the shortest route from city 1 to city 10 passing through some other cities. The principle of optimality implies that: (i) For every city $j$ on R, the subpath in R from city $j$ to city 10 must be the shortest. (ii) For every city $j$ on R, there must be a unique path from city $j$ to city 10. Which of the above statements is correct?