
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
Masha and Alina play on a $5 \times 5$ board. Masha can place chips in some cells one by one. After that, Alina covers all these cells with L-shaped tiles composed of three cells (non-overlapping and not going beyond the borders of the square; L-shaped tiles are allowed to be placed only on the cells). If Alina manages to cover all the cells with chips, she wins; if not, Masha wins. What is the minimum number of chips Masha needs to place so that Alina cannot win?

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