
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
On a $20 \times 15$ grid, some cells have chips placed on them (at most one chip per cell). Two chips are called "connected" if they are located in the same row or column, and there are no other chips between them. What is the maximum number of chips that can be placed on the grid so that each chip has at most two "connected" chips?

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