
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
Anička set out from a hotel for a walk, walked $5 \mathrm{~km}$ north, then $2 \mathrm{~km}$ east, $3 \mathrm{~km}$ south, and finally $4 \mathrm{~km}$ west. This brought her to a pond where she swam. Vojta left a campsite, walked $3 \mathrm{~km}$ south, $4 \mathrm{~km}$ west, and $1 \mathrm{~km}$ north. This brought him to a rock that was $5 \mathrm{~km}$ west of the pond where Anička swam before.

On another occasion, Anička left her hotel and Vojta left his campsite, both intending to reach the pond where Anička had swum before, proceeding only in the cardinal directions.

Determine the minimum number of kilometers that Anička and Vojta had to walk respectively.

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