
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
Ivan Tsarevich went searching for the kidnapped Vasilisa the Beautiful, who was taken by Koschei. On his way, he meets Leshy.

"I know the way to Koschei's Kingdom," says Leshy. "I've been there. I walked for four days and four nights. On the first day, I covered a third of the distance by heading straight north. Then I turned west and struggled through the woods for a day, covering half of what I did the first day. On the third day, I walked through the forest heading south until I reached a straight road leading east. I covered 100 versts on this road in one day and reached Koschei's kingdom. You are just as swift, Ivan Tsarevich. Walk, and by the fifth day, you might be in Koschei's guest room."

"No," replied Ivan Tsarevich, "if everything is as you say, then by tomorrow I will see my Vasilisa the Beautiful."

Is Ivan correct? How many versts did Leshy walk, and how many does Ivan Tsarevich think he will walk?

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