
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 Isle of Misfortune, there are only knights, who always tell the truth, and liars, who always lie. In the Parliament of the island, there are 101 deputies. To cut the budget, it was decided to reduce the Parliament by one deputy. However, each of the deputies claimed that if they were removed from the Parliament, then among the remaining deputies the majority would be liars. How many knights and how many liars are there in the Parliament?

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