
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
There is a 10x10 grid for a game of "Battleship." In this case, the game is played by unusual rules, and you are only allowed to use ships of size 1x2 which can be placed either horizontally or vertically. What is the maximum number of these ships that can be placed on the grid if the ships must not come into contact with each other, even at a single point?

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