changes
Here's graph - find a path from 1 to 10.

1----2----3    11
|    |         |
4    5----6----10
|    |    |
7    8    9----12

Here's a graph. Find the shortest path from 1 to 12.

1----2----3----11
|    |         |
4----5----6----10
|    |    |
7    8    9----12
|    |
13---14