
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
Two players are playing the following game.
They are alternatively putting blue and red coins on the board  $2018$  by  $2018$ . If first player creates  $n$  blue coins in a row or column, he wins. Second player wins if he can prevent it. Who will win if: $a)n=4$ ; $b)n=5$ ?
Note: first player puts only blue coins, and second only red.

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