
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
There is a settlement $C$ (a point) located at the intersection of roads $A$ and $B$ (straight lines). Sasha walks along road $A$ towards $C$, taking 45 steps per minute with a step length of 60 cm. At the start, Sasha is 290 m away from $C$. Dania walks along road $B$ towards $C$ at a rate of 55 steps per minute with a step length of 65 cm, and at the start of their movement, Dania is 310 m away from $C$. Each person continues walking along their road without stopping after passing point $C$. We record the moments in time when both Dania and Sasha have taken whole numbers of steps. Find the minimum possible distance between them (along the roads) at such moments in time. Determine the number of steps each of them has taken by the time this minimum distance is achieved.

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