
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
On the island of Misfortune, there are only knights, who always tell the truth, and liars, who always lie. The island's council has 101 members. To reduce the budget, it was decided to reduce the council by one member. However, each member stated that if they are removed from the council, the majority of the remaining members would be liars. How many knights and how many liars are in the council?

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