
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
The Sharks initially won 2 out of 3 games, and later played $N$ more games, with a total of $3 + N$ games played. The winning percentage of the Sharks is now no less than 90%, so $\frac{2 + k}{3 + N} \ge 0.9$, where $k$ is the number of the additional games won by the Sharks.

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