
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

Kostya planted some number of tulip bulbs along a path. Then Tanya came and planted a new bulb between each pair of neighboring bulbs planted by Kostya. After that, Inna came and planted a new bulb between each pair of neighboring bulbs already planted. Finally, Dima came and did the same thing.

All planted bulbs have grown and there are 113 blooming tulips. How many bulbs did Kostya plant?

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