
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
A new chess piece named  $ mammoth $  moves like a bishop l (that is, in a diagonal), but only in 3 of the 4 possible directions. Different  $ mammoths $  in the board may have different missing addresses. Find the maximum number of  $ mammoths $  that can be placed on an  $ 8 \times 8 $  chessboard so that no  $ mammoth $  can be attacked by another.

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