
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
In each triangular cell (see the picture), there is a grasshopper. All grasshoppers simultaneously jump to an adjacent cell, sharing a side (for example, the gray cell shares sides with two cells). Multiple grasshoppers can end up in the same cell. What is the minimum number of cells that will be empty after all the grasshoppers have jumped? Justify your answer.

![Diagram](https://cdn.mathpix.com/cropped/2024_05_06_e118c46e9552b0ed9021g-1.jpg?height=186&width=323&top_left_y=2397&top_left_x=1529)

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