
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
There is a group of islands connected by bridges in such a way that each island can be reached from any other island. A tourist visited all the islands, crossing each bridge exactly once. The island "Troekratny" (Thrice-visited) was visited three times. How many bridges lead from Troekratny if the tourist

a) did not start and did not finish at this island?

b) started but did not finish at this island?

c) started and finished at this island?

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