
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a simple graph, there exist two vertices  $A,B$  such that there are exactly  $100$  shortest paths from  $A$  to  $B$ . Find the minimum number of edges in the graph.

*CSJL*

Present the answer in LaTex format: \boxed{Your answer}
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