
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 to search for Vasilisa the Beautiful, who was kidnapped by Koschei the Deathless. On his way, he met Leshy (forest spirit).

"I know the way to Koschei's kingdom," said Leshy. "I used to go there sometimes. I traveled for four days and four nights. On the first day, I walked straight north and covered one-third of the journey. Then I turned west and walked through the forest for a day, covering half of the remaining distance. On the third day, I went south through the forest and reached a straight road leading east. I walked 100 versts on that road in a day and arrived in Koschei's kingdom. You are as nimble a traveler as I am. Go, Ivan Tsarevich, and you will be in Koschei's kingdom by the fifth day."

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

Is he right? How many versts did Leshy travel, and how many versts does Ivan Tsarevich expect to travel?

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