
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

Brothers Lyosha and Sasha decided to get from home to the skate park. They left at the same time, but Lyosha walked with the skateboard in his hands, while Sasha rode the skateboard. It is known that Sasha rides the skateboard 3 times faster than Lyosha walks with the skateboard. After some time, they simultaneously changed their mode of transportation: Lyosha started riding the skateboard, and Sasha started walking. As a result, the speed of each of them changed by a factor of 2: Lyosha's speed increased, and Sasha's speed decreased. They both arrived at the skate park at the same time. How many meters did Sasha ride on the skateboard if the distance from home to the skate park is 3300 meters?

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