
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 a swamp, there are 64 tufts of grass arranged in an \(8 \times 8\) square. On each tuft, there is either a frog or a toad. Frogs always tell the truth, while toads always lie. Each of them, both the frogs and the toads, proclaimed: "At least one of the neighboring tufts has a toad." What is the maximum number of toads that could be on these tufts?

Tufts are considered neighbors if they are horizontally or vertically adjacent in the rows and columns of the square; diagonal tufts are not considered neighbors.

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